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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze278.0ms (2.6%)

Memory

-7.0MiB live, 383.1MiB 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)

sample2.0s (18.6%)

Memory

43.0MiB live, 2 283.2MiB allocated

Samples

760.0ms	2 220×	1	valid
662.0ms	6 036×	0	valid
82.0ms	966×	0	invalid
2.0ms	18×	1	exit

Precisions

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

ival-log: 491.0ms (42.3% of total)

ival-div: 274.0ms (23.6% of total)

ival-add: 140.0ms (12.1% of total)

ival-exp: 127.0ms (10.9% of total)

ival-mult: 74.0ms (6.4% of total)

adjust: 43.0ms (3.7% of total)

ival-true: 8.0ms (0.7% of total)

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

Bogosity

explain233.0ms (2.2%)

Memory

8.9MiB live, 288.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
141	37	(-9.185315183951182e+283 -1.7280049973926528e+131 5.127621831115266e-300)	0	-	`(log.f64 (/.f64 y (+.f64 z y)))`
41	0	-	4	(-1.402103846792873e+162 -2.797982536554714e+299 3.2119117011803005e-13)	`(*.f64 y (log.f64 (/.f64 y (+.f64 z y))))`
0	0	-	0	-	`(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)`
0	0	-	0	-	`z`
0	0	-	0	-	`(/.f64 y (+.f64 z y))`
0	0	-	0	-	`(+.f64 z y)`
0	0	-	0	-	`(exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))))`
0	0	-	0	-	`(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))`
0	0	-	0	-	`y`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f64`	`(log.f64 (/.f64 y (+.f64 z y)))`	sensitivity	156	0
`log.f64`	`(log.f64 (/.f64 y (+.f64 z y)))`	uflow-rescue	21	0
↳	`(log.f64 (/.f64 y (+.f64 z y)))`	underflow	37
↳	`(/.f64 y (+.f64 z y))`	underflow	22
`*.f64`	`(*.f64 y (log.f64 (/.f64 y (+.f64 z y))))`	*nu**	4	0

Confusion

	Predicted +	Predicted -
+	38	0
-	139	79

Precision

0.21468926553672316

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	38	0	0
-	139	0	79

Precision?

0.21468926553672316

Recall?

1.0

Freqs

test

number	freq
0	79
1	173
2	4

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

85.0ms	234×	1	valid
30.0ms	68×	2	valid
20.0ms	210×	0	valid

Compiler

Compiled 136 to 34 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 111.0ms

ival-log: 44.0ms (39.7% of total)

ival-div: 35.0ms (31.6% of total)

ival-add: 9.0ms (8.1% of total)

ival-exp: 8.0ms (7.2% of total)

ival-mult: 8.0ms (7.2% of total)

adjust: 7.0ms (6.3% of total)

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

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

preprocess231.0ms (2.2%)

Memory

-6.3MiB live, 31.6MiB allocated

Algorithm

1×	egg-herbie

Rules

891×	`div-sub`
425×	`sub-neg`
307×	`times-frac`
306×	`distribute-rgt-in`
306×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	51	130
1	106	104
2	224	102
3	480	102
4	1083	102
5	2262	100
6	3232	100
7	4472	100
8	5310	100
9	6024	100
10	6426	100
11	6651	100
12	6930	100
13	7226	100
14	7480	100
15	7805	100
16	7903	100
17	7905	100
18	7905	100
19	7905	100
20	7973	100
0	10	13
0	17	13
1	22	11
2	25	11
3	25	11
0	25	11

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 16 to 10 computations (37.5% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	85.8%	(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))

Compiler

Compiled 16 to 10 computations (37.5% saved)

simplify4.0ms (0%)

Memory

6.0MiB live, 6.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

4×	`lower-+.f32`
3×	`lower-exp.f32`
2×	`lift-+.f64`
2×	`lift-/.f64`
2×	`exp-prod`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	58
0	17	58
1	22	52
2	25	52
3	25	52
0	25	52

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize107.0ms (1%)

Memory

-29.2MiB live, 119.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
accuracy	0.01171875	(/.f64 y (+.f64 z y))
accuracy	9.132050573017136	(*.f64 y (log.f64 (/.f64 y (+.f64 z y))))
accuracy	32.442335076625184	(log.f64 (/.f64 y (+.f64 z y)))

Samples

54.0ms	117×	1	valid
20.0ms	34×	2	valid
9.0ms	105×	0	valid

Compiler

Compiled 60 to 12 computations (80% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-log: 22.0ms (33.7% of total)

ival-exp: 21.0ms (32.2% of total)

ival-div: 11.0ms (16.9% of total)

ival-add: 5.0ms (7.7% of total)

adjust: 3.0ms (4.6% of total)

ival-mult: 3.0ms (4.6% of total)

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

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

series40.0ms (0.4%)

Memory

-31.9MiB live, 54.1MiB allocated

Counts

6 → 156

Calls

Call 1

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

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

Calls

39 calls:

Time	Variable		Point	Expression
7.0ms	x	@	0	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
6.0ms	z	@	inf	(exp (* y (log (/ y (+ z y)))))
2.0ms	y	@	inf	(exp (* y (log (/ y (+ z y)))))
2.0ms	y	@	inf	(/ (exp (* y (log (/ y (+ z y))))) y)
2.0ms	y	@	-inf	(exp (* y (log (/ y (+ z y)))))

simplify295.0ms (2.8%)

Memory

29.9MiB live, 252.3MiB allocated

Algorithm

1×	egg-herbie

Rules

4 685×	`lower-fma.f64`
4 685×	`lower-fma.f32`
2 654×	`lower-*.f64`
2 654×	`lower-*.f32`
1 740×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	603	4108
1	1814	3482
2	6086	3379
0	8218	3225

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 152

Calls

Call 1

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

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

rewrite188.0ms (1.8%)

Memory

30.7MiB live, 220.2MiB allocated

Rules

1 695×	`lower-*.f32`
1 694×	`lower-*.f64`
1 572×	`lower-fma.f64`
1 572×	`lower-fma.f32`
1 401×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

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

Counts

6 → 332

Calls

Call 1

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

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

eval117.0ms (1.1%)

Memory: -15.5MiB live, 154.9MiB allocated
Compiler: Compiled 13 659 to 2 260 computations (83.5% saved)

prune151.0ms (1.4%)

Memory

7.0MiB live, 163.6MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	473	11	484
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	474	11	485

Accuracy

100.0%

Counts

485 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.4%	(/.f64 (fma.f64 x x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) (+.f64 y y)) (*.f64 (neg.f64 y) y))) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)))
	85.8%	(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)
	80.7%	(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))
▶	57.2%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))) z (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y))
▶	63.1%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y))
	64.8%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))
▶	86.7%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
	54.8%	(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y)) z (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))))
	48.3%	(.f64 (fma.f64 x x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) (+.f64 y y)) (.f64 (neg.f64 y) y))) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y))))
▶	40.5%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y))
▶	41.6%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))

Compiler

Compiled 416 to 238 computations (42.8% saved)

simplify189.0ms (1.8%)

Memory

2.3MiB live, 205.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 y (+.f64 z y))
cost-diff	0	(pow.f64 (/.f64 y (+.f64 z y)) y)
cost-diff	0	(/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)
cost-diff	0	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y))
cost-diff	0	(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))) z (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)
cost-diff	0	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))) z (+.f64 (/.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	128	(neg.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))))
cost-diff	512	(fma.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))) z (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)))
cost-diff	0	(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64))
cost-diff	0	#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64)))
cost-diff	0	(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)
cost-diff	0	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y))
cost-diff	0	(/.f64 #s(literal 1 binary64) y)
cost-diff	0	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
cost-diff	0	#s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))
cost-diff	0	(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)
cost-diff	0	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))

Rules

5 871×	`lower-fma.f32`
5 866×	`lower-fma.f64`
1 319×	`lower-+.f32`
1 312×	`lower-+.f64`
1 157×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	444
0	71	444
1	107	415
2	208	415
3	667	415
4	2176	415
5	4675	415
6	7408	415
0	8059	409

Stop Event

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

Calls

Call 1

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

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

localize306.0ms (2.9%)

Memory

-4.5MiB live, 313.7MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 z y)
accuracy	0.01171875	(/.f64 y (+.f64 z y))
accuracy	11.723775677544262	(pow.f64 (/.f64 y (+.f64 z y)) y)
accuracy	30.19047013213547	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y))
accuracy	0.8488056328443373	(/.f64 #s(literal 1/3 binary64) (*.f64 y y))
accuracy	1.221001982595774	(fma.f64 (fma.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))) z (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64))
accuracy	3.6844394682995434	(fma.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))) z (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)))
accuracy	25.6454766591897	#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))) z (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64)))
accuracy	0.0078125	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y))
accuracy	0.03125	(fma.f64 (fma.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	0.05859375	(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64))
accuracy	25.7758443804679	#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64)))
accuracy	0	(/.f64 #s(literal 1 binary64) y)
accuracy	37.36102595673034	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
accuracy	0	(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)
accuracy	0.0078125	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
accuracy	14.795138920342463	#s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))

Samples

141.0ms	99×	1	valid
47.0ms	157×	0	valid

Compiler

Compiled 321 to 37 computations (88.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 160.0ms

ival-pow: 80.0ms (50% of total)

ival-log: 16.0ms (10% of total)

ival-add: 16.0ms (10% of total)

ival-mult: 15.0ms (9.4% of total)

ival-div: 13.0ms (8.1% of total)

const: 8.0ms (5% of total)

adjust: 7.0ms (4.4% of total)

ival-exp: 3.0ms (1.9% of total)

ival-neg: 2.0ms (1.2% of total)

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

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

exact: 0.0ms (0% of total)

series55.0ms (0.5%)

Memory

-13.3MiB live, 97.4MiB allocated

Counts

22 → 552

Calls

Call 1

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

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

Calls

138 calls:

Time	Variable		Point	Expression
5.0ms	z	@	0	(+ (* (neg (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y)))) z) (+ (/ 1/2 y) 1/2))
3.0ms	y	@	0	(+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1)
1.0ms	z	@	-inf	(+ (* (neg (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y)))) z) (+ (/ 1/2 y) 1/2))
0.0ms	y	@	0	(+ (* (neg (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y)))) z) (+ (/ 1/2 y) 1/2))
0.0ms	y	@	-inf	(+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1)

simplify308.0ms (2.9%)

Memory

23.3MiB live, 293.7MiB allocated

Algorithm

1×	egg-herbie

Rules

4 284×	`lower-fma.f64`
4 284×	`lower-fma.f32`
2 792×	`lower-*.f64`
2 792×	`lower-*.f32`
1 793×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	589	14134
1	1838	12305
2	6006	11944
0	8236	11332

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 526

Calls

Call 1

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

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

rewrite271.0ms (2.5%)

Memory

-0.4MiB live, 352.3MiB allocated

Rules

2 314×	`lower-/.f32`
2 306×	`lower-/.f64`
1 722×	`lower-*.f32`
1 721×	`lower-*.f64`
1 627×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	363
0	71	341
1	318	335
2	2782	335
0	8313	329

Stop Event

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

Counts

22 → 516

Calls

Call 1

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

Outputs
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eval241.0ms (2.2%)

Memory: 16.8MiB live, 276.9MiB allocated
Compiler: Compiled 34 053 to 2 699 computations (92.1% saved)

prune486.0ms (4.5%)

Memory

-154.7MiB live, 374.0MiB allocated

Pruning

23 alts after pruning (21 fresh and 2 done)

	Pruned	Kept	Total
New	1 024	18	1 042
Fresh	3	3	6
Picked	3	2	5
Done	0	0	0
Total	1 030	23	1 053

Accuracy

100.0%

Counts

1 053 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	57.2%	(fma.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 y y)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y))) z (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) x)
	33.1%	(/.f64 (fma.f64 (.f64 x x) x (/.f64 (.f64 (.f64 #s(approx (exp ( y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) (.f64 (.f64 y y) y))) (fma.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x) (*.f64 x x)))
	33.2%	(/.f64 (fma.f64 (.f64 x x) x (/.f64 (.f64 (.f64 #s(approx (exp ( y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) (.f64 (.f64 y y) y))) (+.f64 (/.f64 (.f64 #s(approx (exp ( y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) (.f64 y y)) (-.f64 (.f64 x x) (/.f64 (.f64 x #s(approx (exp ( y (log (/ y (+ z y))))) #s(literal 1 binary64))) y))))
	50.5%	(/.f64 (-.f64 (/.f64 (.f64 #s(approx (exp ( y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) (.f64 y y)) (.f64 x x)) (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x))
▶	85.8%	(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)
	80.7%	(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))
	66.4%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (neg (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y)))) z) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y))
	66.3%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64))) z #s(literal 1 binary64))) y))
▶	64.2%	(+.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))
	35.5%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (neg (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y)))) z) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) y (.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)) y (.f64 (.f64 #s(literal -1/3 binary64) z) z)) (.f64 y y))) z #s(literal 1 binary64))) y))
	57.0%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (neg (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y)))) z) (+ (/ 1/2 y) 1/2)) z) -1) (.f64 (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 y y)) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 z z))) z #s(literal 1 binary64))) y))
	40.1%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (.f64 (.f64 z (/.f64 z y)) #s(literal 1/2 binary64)))) y))
✓	86.7%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
	48.3%	(.f64 (fma.f64 x x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) (+.f64 y y)) (.f64 (neg.f64 y) y))) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y))))
	50.4%	(.f64 (-.f64 (.f64 x x) (/.f64 (.f64 #s(approx (exp ( y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) (.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 #s(approx (exp ( y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))))
▶	14.3%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow.f64 (*.f64 y y) #s(literal -1/2 binary64)))
	29.2%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 #s(approx (/ y (+ z y)) (/.f64 y z)) y) y))
▶	26.2%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ z y)) y) (fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y))) z (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y))
	28.8%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ z y)) y) (fma.f64 (fma.f64 (+.f64 (/.f64 z y) z) #s(literal 1/2 binary64) #s(literal -1 binary64)) z #s(literal 1 binary64))) y))
▶	26.0%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ z y)) y) (-.f64 #s(literal 1 binary64) z)) y))
	36.3%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ z y)) y) (exp.f64 (neg.f64 z))) y))
✓	41.6%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
	22.3%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (/ (pow (/ y (+ z y)) y) y) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y)) z (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))))

Compiler

Compiled 962 to 527 computations (45.2% saved)

simplify182.0ms (1.7%)

Memory

26.1MiB live, 332.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y y)
cost-diff	0	(pow.f64 (*.f64 y y) #s(literal -1/2 binary64))
cost-diff	0	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow.f64 (*.f64 y y) #s(literal -1/2 binary64)))
cost-diff	0	#s(approx (pow (/ y (+ z y)) y) (fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y))) z (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64)))
cost-diff	0	(/.f64 #s(approx (pow (/ y (+ z y)) y) (fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y))) z (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)
cost-diff	0	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ z y)) y) (fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y))) z (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y))
cost-diff	512	(fma.f64 (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y))) z (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)))
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	(-.f64 #s(literal 1 binary64) z)
cost-diff	0	#s(approx (pow (/ y (+ z y)) y) (-.f64 #s(literal 1 binary64) z))
cost-diff	0	(/.f64 #s(approx (pow (/ y (+ z y)) y) (-.f64 #s(literal 1 binary64) z)) y)
cost-diff	0	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ z y)) y) (-.f64 #s(literal 1 binary64) z)) y))
cost-diff	0	(/.f64 y (+.f64 z y))
cost-diff	0	(pow.f64 (/.f64 y (+.f64 z y)) y)
cost-diff	0	(/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)
cost-diff	0	(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)

Rules

9 552×	`lower-fma.f32`
9 546×	`lower-fma.f64`
1 479×	`lower-+.f32`
1 474×	`lower-+.f64`
1 320×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	530
0	85	530
1	120	518
2	181	518
3	436	518
4	1216	518
5	4159	518
0	8103	494

Stop Event

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

Calls

Call 1

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

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

localize355.0ms (3.3%)

Memory

-6.0MiB live, 535.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y y)
accuracy	26.44341641510512	(pow.f64 (*.f64 y y) #s(literal -1/2 binary64))
accuracy	48.932725393173094	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow.f64 (*.f64 y y) #s(literal -1/2 binary64)))
accuracy	1.221001982595774	(fma.f64 (fma.f64 (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y))) z (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64))
accuracy	3.6844394682995434	(fma.f64 (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y))) z (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)))
accuracy	25.6454766591897	#s(approx (pow (/ y (+ z y)) y) (fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y))) z (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64)))
accuracy	30.19047013213547	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ z y)) y) (fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y))) z (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y))
accuracy	0.0078125	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) y)) z #s(literal 1 binary64))) y))
accuracy	0.03125	(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	5.862125582852195	(/.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	25.7758443804679	#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) y)) z #s(literal 1 binary64)))
accuracy	0	(/.f64 #s(approx (pow (/ y (+ z y)) y) (-.f64 #s(literal 1 binary64) z)) y)
accuracy	0	(-.f64 #s(literal 1 binary64) z)
accuracy	26.92447662860884	#s(approx (pow (/ y (+ z y)) y) (-.f64 #s(literal 1 binary64) z))
accuracy	30.19047013213547	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ z y)) y) (-.f64 #s(literal 1 binary64) z)) y))
accuracy	0	(+.f64 z y)
accuracy	0.0078125	(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)
accuracy	0.01171875	(/.f64 y (+.f64 z y))
accuracy	11.723775677544262	(pow.f64 (/.f64 y (+.f64 z y)) y)

Samples

240.0ms	99×	1	valid
54.0ms	157×	0	valid

Compiler

Compiled 332 to 44 computations (86.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 187.0ms

ival-pow: 55.0ms (29.3% of total)

const: 34.0ms (18.1% of total)

ival-mult: 26.0ms (13.9% of total)

ival-add: 21.0ms (11.2% of total)

ival-div: 18.0ms (9.6% of total)

ival-log: 15.0ms (8% of total)

adjust: 11.0ms (5.9% of total)

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

ival-sub: 3.0ms (1.6% of total)

exact: 1.0ms (0.5% of total)

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

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

series43.0ms (0.4%)

Memory

18.5MiB live, 96.5MiB allocated

Counts

23 → 576

Calls

Call 1

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

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

Calls

144 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(pow (* y y) -1/2)
0.0ms	y	@	-inf	(/ (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) y)
0.0ms	z	@	-inf	(+ (* (+ (* 1/2 z) -1) y) (* 1/2 z))
0.0ms	y	@	-inf	(+ (* (+ (* 1/2 z) -1) y) (* 1/2 z))
0.0ms	y	@	0	(+ (* (+ (* 1/2 z) -1) y) (* 1/2 z))

simplify379.0ms (3.5%)

Memory

-44.7MiB live, 296.8MiB allocated

Algorithm

1×	egg-herbie

Rules

4 542×	`lower-fma.f64`
4 542×	`lower-fma.f32`
2 893×	`lower-*.f64`
2 893×	`lower-*.f32`
1 835×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	602	14312
1	1887	12457
2	6185	12100
0	8522	11472

Stop Event

1×	iter limit
1×	node limit

Counts

576 → 550

Calls

Call 1

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

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

rewrite245.0ms (2.3%)

Memory

43.6MiB live, 313.0MiB allocated

Rules

2 231×	`lower-/.f32`
2 223×	`lower-/.f64`
1 506×	`lower-*.f32`
1 504×	`lower-*.f64`
1 277×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	421
0	85	409
1	366	405
2	2929	405
0	8185	396

Stop Event

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

Counts

23 → 477

Calls

Call 1

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

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

eval244.0ms (2.3%)

Memory: 9.9MiB live, 318.1MiB allocated
Compiler: Compiled 32 249 to 2 494 computations (92.3% saved)

prune249.0ms (2.3%)

Memory

-54.7MiB live, 382.2MiB allocated

Pruning

24 alts after pruning (21 fresh and 3 done)

	Pruned	Kept	Total
New	1 033	15	1 048
Fresh	10	6	16
Picked	4	1	5
Done	0	2	2
Total	1 047	24	1 071

Accuracy

100.0%

Counts

1 071 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	33.2%	(/.f64 (fma.f64 (.f64 x x) x (/.f64 (.f64 (.f64 #s(approx (exp ( y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) (.f64 (.f64 y y) y))) (+.f64 (/.f64 (.f64 #s(approx (exp ( y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) (.f64 y y)) (-.f64 (.f64 x x) (/.f64 (.f64 x #s(approx (exp ( y (log (/ y (+ z y))))) #s(literal 1 binary64))) y))))
	50.5%	(/.f64 (-.f64 (/.f64 (.f64 #s(approx (exp ( y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) (.f64 y y)) (.f64 x x)) (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x))
	59.5%	(+.f64 (/.f64 (pow.f64 #s(approx (/ y (+ z y)) (/.f64 y z)) y) y) x)
	80.7%	(+.f64 (/.f64 #s(approx (pow (/ y (+ z y)) y) (exp.f64 (neg.f64 z))) y) x)
▶	85.8%	(+.f64 (.f64 (pow.f64 (/.f64 y (+.f64 z y)) (.f64 y #s(literal 1/2 binary64))) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) (*.f64 y #s(literal 1/2 binary64))) y)) x)
	66.3%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64))) z #s(literal 1 binary64))) y))
	45.2%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 (/.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (.f64 #s(literal 1/2 binary64) z)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (.f64 #s(literal -1/2 binary64) z))) (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))
	67.3%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 #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))
	40.1%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) z) z))) y))
✓	86.7%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
	50.4%	(.f64 (-.f64 (.f64 x x) (/.f64 (.f64 #s(approx (exp ( y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) (.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 #s(approx (exp ( y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))))
✓	14.3%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow.f64 (*.f64 y y) #s(literal -1/2 binary64)))
	29.2%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 #s(approx (/ y (+ z y)) (/.f64 y z)) y) y))
▶	32.6%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ z y)) y) (fma.f64 (fma.f64 #s(approx (+ (* (- -1/6 (+ (/ 1/3 (* y y)) (/ 1/2 y))) z) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y))
	19.3%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ z y)) y) (fma.f64 #s(approx (+ (* (+ (* (- -1/6 (+ (/ 1/3 (* y y)) (/ 1/2 y))) z) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) y (.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)) y (.f64 (.f64 #s(literal -1/3 binary64) z) z)) (.f64 y y))) z #s(literal 1 binary64))) y))
▶	26.0%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ z y)) y) (fma.f64 #s(approx (+ (* (+ (* (- -1/6 (+ (/ 1/3 (* y y)) (/ 1/2 y))) z) (+ (/ 1/2 y) 1/2)) z) -1) (.f64 (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 y y)) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 z z))) z #s(literal 1 binary64))) y))
	36.3%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ z y)) y) (exp.f64 (neg.f64 z))) y))
	3.2%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ z y)) y) #s(approx (- 1 z) (neg.f64 z))) y))
	26.2%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) (/.f64 y #s(approx (pow (/ y (+ z y)) 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))) z (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))))))
	26.0%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) (/.f64 y #s(approx (pow (/ y (+ z y)) y) (-.f64 #s(literal 1 binary64) z)))))
✓	41.6%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
	26.2%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (pow (/ y (+ z y)) 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))) z (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64)))))
	26.0%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (pow (/ y (+ z y)) y) (-.f64 #s(literal 1 binary64) z))))
▶	2.2%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y)))

Compiler

Compiled 921 to 493 computations (46.5% saved)

simplify267.0ms (2.5%)

Memory

32.8MiB live, 331.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (.f64 x x) x (/.f64 (.f64 (.f64 #s(approx (exp ( y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) (.f64 (.f64 y y) y)))
cost-diff	0	(/.f64 (fma.f64 (.f64 x x) x (/.f64 (.f64 (.f64 #s(approx (exp ( y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) (.f64 (.f64 y y) y))) (+.f64 (/.f64 (.f64 #s(approx (exp ( y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) (.f64 y y)) (-.f64 (.f64 x x) (/.f64 (.f64 x #s(approx (exp ( y (log (/ y (+ z y))))) #s(literal 1 binary64))) y))))
cost-diff	320	(-.f64 (.f64 x x) (/.f64 (.f64 x #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) y))
cost-diff	448	(+.f64 (/.f64 (.f64 #s(approx (exp ( y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) (.f64 y y)) (-.f64 (.f64 x x) (/.f64 (.f64 x #s(approx (exp ( y (log (/ y (+ z y))))) #s(literal 1 binary64))) y)))
cost-diff	0	#s(approx (pow (/ y (+ z y)) y) (fma.f64 #s(approx (+ (* (+ (* (- -1/6 (+ (/ 1/3 (* y y)) (/ 1/2 y))) z) (+ (/ 1/2 y) 1/2)) z) -1) (.f64 (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 y y)) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 z z))) z #s(literal 1 binary64)))
cost-diff	0	(/.f64 #s(approx (pow (/ y (+ z y)) y) (fma.f64 #s(approx (+ (* (+ (* (- -1/6 (+ (/ 1/3 (* y y)) (/ 1/2 y))) z) (+ (/ 1/2 y) 1/2)) z) -1) (.f64 (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 y y)) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 z z))) z #s(literal 1 binary64))) y)
cost-diff	0	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ z y)) y) (fma.f64 #s(approx (+ (* (+ (* (- -1/6 (+ (/ 1/3 (* y y)) (/ 1/2 y))) z) (+ (/ 1/2 y) 1/2)) z) -1) (.f64 (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 y y)) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 z z))) z #s(literal 1 binary64))) y))
cost-diff	128	(.f64 (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 y y)) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 z z))
cost-diff	0	(fma.f64 (fma.f64 #s(approx (+ (* (- -1/6 (+ (/ 1/3 (* y y)) (/ 1/2 y))) z) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))
cost-diff	0	#s(approx (pow (/ y (+ z y)) y) (fma.f64 (fma.f64 #s(approx (+ (* (- -1/6 (+ (/ 1/3 (* y y)) (/ 1/2 y))) z) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64)))
cost-diff	0	(/.f64 #s(approx (pow (/ y (+ z y)) y) (fma.f64 (fma.f64 #s(approx (+ (* (- -1/6 (+ (/ 1/3 (* y y)) (/ 1/2 y))) z) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)
cost-diff	0	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ z y)) y) (fma.f64 (fma.f64 #s(approx (+ (* (- -1/6 (+ (/ 1/3 (* y y)) (/ 1/2 y))) z) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y))
cost-diff	0	(/.f64 #s(literal -1 binary64) y)
cost-diff	0	#s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y))
cost-diff	0	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y)))
cost-diff	0	(/.f64 y (+.f64 z y))
cost-diff	0	(pow.f64 (/.f64 y (+.f64 z y)) (*.f64 y #s(literal 1/2 binary64)))
cost-diff	0	(+.f64 (.f64 (pow.f64 (/.f64 y (+.f64 z y)) (.f64 y #s(literal 1/2 binary64))) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) (*.f64 y #s(literal 1/2 binary64))) y)) x)
cost-diff	8320	(.f64 (pow.f64 (/.f64 y (+.f64 z y)) (.f64 y #s(literal 1/2 binary64))) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) (*.f64 y #s(literal 1/2 binary64))) y))

Rules

9 388×	`lower-fma.f32`
9 383×	`lower-fma.f64`
1 880×	`lower-+.f32`
1 876×	`lower-+.f64`
1 323×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	1028
0	111	1028
1	169	866
2	284	836
3	581	832
4	1370	832
5	3811	821
6	7174	821
0	8385	797

Stop Event

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

Calls

Call 1

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

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

localize470.0ms (4.4%)

Memory

12.1MiB live, 609.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	1.3359333716604116	(fma.f64 (.f64 x x) x (/.f64 (.f64 (.f64 #s(approx (exp ( y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) (.f64 (.f64 y y) y)))
accuracy	2.746087557490618	(-.f64 (.f64 x x) (/.f64 (.f64 x #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) y))
accuracy	8.498263920342454	#s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))
accuracy	34.534976534293804	(/.f64 (fma.f64 (.f64 x x) x (/.f64 (.f64 (.f64 #s(approx (exp ( y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) (.f64 (.f64 y y) y))) (+.f64 (/.f64 (.f64 #s(approx (exp ( y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) (.f64 y y)) (-.f64 (.f64 x x) (/.f64 (.f64 x #s(approx (exp ( y (log (/ y (+ z y))))) #s(literal 1 binary64))) y))))
accuracy	6.524193681078705	(.f64 (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 y y)) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 z z))
accuracy	23.4996624332148	#s(approx (pow (/ y (+ z y)) y) (fma.f64 #s(approx (+ (* (+ (* (- -1/6 (+ (/ 1/3 (* y y)) (/ 1/2 y))) z) (+ (/ 1/2 y) 1/2)) z) -1) (.f64 (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 y y)) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 z z))) z #s(literal 1 binary64)))
accuracy	30.19047013213547	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ z y)) y) (fma.f64 #s(approx (+ (* (+ (* (- -1/6 (+ (/ 1/3 (* y y)) (/ 1/2 y))) z) (+ (/ 1/2 y) 1/2)) z) -1) (.f64 (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 y y)) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 z z))) z #s(literal 1 binary64))) y))
accuracy	31.282179498522787	#s(approx (+ (* (+ (* (- -1/6 (+ (/ 1/3 (* y y)) (/ 1/2 y))) z) (+ (/ 1/2 y) 1/2)) z) -1) (.f64 (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 y y)) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 z z)))
accuracy	1.189751982595774	(fma.f64 #s(approx (+ (* (- -1/6 (+ (/ 1/3 (* y y)) (/ 1/2 y))) z) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64))
accuracy	23.4996624332148	#s(approx (pow (/ y (+ z y)) y) (fma.f64 (fma.f64 #s(approx (+ (* (- -1/6 (+ (/ 1/3 (* y y)) (/ 1/2 y))) z) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64)))
accuracy	29.15881603656755	#s(approx (+ (* (- -1/6 (+ (/ 1/3 (* y y)) (/ 1/2 y))) z) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)))
accuracy	30.19047013213547	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ z y)) y) (fma.f64 (fma.f64 #s(approx (+ (* (- -1/6 (+ (/ 1/3 (* y y)) (/ 1/2 y))) z) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y))
accuracy	0	(/.f64 #s(literal -1 binary64) y)
accuracy	28.16177366766735	#s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y))
accuracy	42.51991976906767	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y)))
accuracy	0.0078125	(+.f64 (.f64 (pow.f64 (/.f64 y (+.f64 z y)) (.f64 y #s(literal 1/2 binary64))) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) (*.f64 y #s(literal 1/2 binary64))) y)) x)
accuracy	0.01171875	(/.f64 y (+.f64 z y))
accuracy	0.021816259768442016	(.f64 (pow.f64 (/.f64 y (+.f64 z y)) (.f64 y #s(literal 1/2 binary64))) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) (*.f64 y #s(literal 1/2 binary64))) y))
accuracy	8.563624024407838	(pow.f64 (/.f64 y (+.f64 z y)) (*.f64 y #s(literal 1/2 binary64)))

Samples

202.0ms	87×	1	valid
109.0ms	143×	0	valid
15.0ms	11×	1	exit
7.0ms	15×	0	exit

Compiler

Compiled 682 to 56 computations (91.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 294.0ms

ival-pow: 95.0ms (32.3% of total)

ival-mult: 77.0ms (26.2% of total)

ival-log: 47.0ms (16% of total)

ival-div: 31.0ms (10.5% of total)

ival-add: 17.0ms (5.8% of total)

adjust: 10.0ms (3.4% of total)

const: 8.0ms (2.7% of total)

ival-exp: 5.0ms (1.7% of total)

ival-sub: 3.0ms (1% of total)

exact: 1.0ms (0.3% of total)

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

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

series225.0ms (2.1%)

Memory

18.1MiB live, 278.5MiB allocated

Counts

23 → 624

Calls

Call 1

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

Outputs
#s(alt (/ 1 y) (taylor 0 y) (#s(alt (.f64 (pow.f64 (/.f64 y (+.f64 z y)) (.f64 y #s(literal 1/2 binary64))) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) (.f64 y #s(literal 1/2 binary64))) y)) (patch (.f64 (pow.f64 (/.f64 y (+.f64 z y)) (.f64 y #s(literal 1/2 binary64))) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) (.f64 y #s(literal 1/2 binary64))) y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* y (+ (log y) (log (/ 1 z))))) y) (taylor 0 y) (#s(alt (.f64 (pow.f64 (/.f64 y (+.f64 z y)) (.f64 y #s(literal 1/2 binary64))) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) (.f64 y #s(literal 1/2 binary64))) y)) (patch (.f64 (pow.f64 (/.f64 y (+.f64 z y)) (.f64 y #s(literal 1/2 binary64))) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) (.f64 y #s(literal 1/2 binary64))) y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z))))))) y) (taylor 0 y) (#s(alt (.f64 (pow.f64 (/.f64 y (+.f64 z y)) (.f64 y #s(literal 1/2 binary64))) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) (.f64 y #s(literal 1/2 binary64))) y)) (patch (.f64 (pow.f64 (/.f64 y (+.f64 z y)) (.f64 y #s(literal 1/2 binary64))) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) (.f64 y #s(literal 1/2 binary64))) y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1/2 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/24 (pow (+ (log y) (log (/ 1 z))) 3)) (+ (* 1/2 (/ 1 (pow z 2))) (* (+ (log y) (log (/ 1 z))) (- (* 1/8 (pow (+ (log y) (log (/ 1 z))) 2)) (* 1/2 (/ 1 z))))))))) (/ 1 z))))))) y) (taylor 0 y) (#s(alt (.f64 (pow.f64 (/.f64 y (+.f64 z y)) (.f64 y #s(literal 1/2 binary64))) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) (.f64 y #s(literal 1/2 binary64))) y)) (patch (.f64 (pow.f64 (/.f64 y (+.f64 z y)) (.f64 y #s(literal 1/2 binary64))) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) (.f64 y #s(literal 1/2 binary64))) y)) #<representation binary64>) () ())) ())
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Calls

156 calls:

Time	Variable		Point	Expression
36.0ms	x	@	inf	(/ (+ (* (* x x) x) (/ (* (* (exp (* y (log (/ y (+ z y))))) (exp (* y (log (/ y (+ z y)))))) (exp (* y (log (/ y (+ z y)))))) (* (* y y) y))) (+ (/ (* (exp (* y (log (/ y (+ z y))))) (exp (* y (log (/ y (+ z y)))))) (* y y)) (- (* x x) (/ (* x (exp (* y (log (/ y (+ z y)))))) y))))
15.0ms	y	@	-inf	(+ (* (* x x) x) (/ (* (* (exp (* y (log (/ y (+ z y))))) (exp (* y (log (/ y (+ z y)))))) (exp (* y (log (/ y (+ z y)))))) (* (* y y) y)))
12.0ms	z	@	inf	(/ (+ (* (* x x) x) (/ (* (* (exp (* y (log (/ y (+ z y))))) (exp (* y (log (/ y (+ z y)))))) (exp (* y (log (/ y (+ z y)))))) (* (* y y) y))) (+ (/ (* (exp (* y (log (/ y (+ z y))))) (exp (* y (log (/ y (+ z y)))))) (* y y)) (- (* x x) (/ (* x (exp (* y (log (/ y (+ z y)))))) y))))
9.0ms	z	@	-inf	(+ (* (+ (* (+ (* (- -1/6 (+ (/ 1/3 (* y y)) (/ 1/2 y))) z) (+ (/ 1/2 y) 1/2)) z) -1) z) 1)
8.0ms	z	@	0	(/ (+ (* (* x x) x) (/ (* (* (exp (* y (log (/ y (+ z y))))) (exp (* y (log (/ y (+ z y)))))) (exp (* y (log (/ y (+ z y)))))) (* (* y y) y))) (+ (/ (* (exp (* y (log (/ y (+ z y))))) (exp (* y (log (/ y (+ z y)))))) (* y y)) (- (* x x) (/ (* x (exp (* y (log (/ y (+ z y)))))) y))))

simplify370.0ms (3.5%)

Memory

-1.6MiB live, 542.0MiB allocated

Algorithm

1×	egg-herbie

Rules

3 211×	`lower-fma.f64`
3 211×	`lower-fma.f32`
3 066×	`lower-*.f64`
3 066×	`lower-*.f32`
2 400×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1878	28743
1	6315	27879
0	8115	26778

Stop Event

1×	iter limit
1×	node limit

Counts

624 → 604

Calls

Call 1

Inputs
(/ 1 y)
(/ (+ 1 (* y (+ (log y) (log (/ 1 z))))) y)
(/ (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z))))))) y)
(/ (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1/2 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/24 (pow (+ (log y) (log (/ 1 z))) 3)) (+ (* 1/2 (/ 1 (pow z 2))) (* (+ (log y) (log (/ 1 z))) (- (* 1/8 (pow (+ (log y) (log (/ 1 z))) 2)) (* 1/2 (/ 1 z))))))))) (/ 1 z))))))) y)
(/ (pow (exp (* -1/2 z)) 2) y)
(/ (+ (* 1/2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (pow (exp (* -1/2 z)) 2)) y)
(/ (+ (* 1/16 (/ (* (pow (exp (* -1/2 z)) 2) (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (pow y 2))) (+ (* 1/2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (* 2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* 1/32 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/12 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))) (pow (exp (* -1/2 z)) 2)))) y)
(/ (+ (* 1/16 (/ (* (pow (exp (* -1/2 z)) 2) (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (pow y 2))) (+ (* 1/2 (/ (* (pow (exp (* -1/2 z)) 2) (* (+ (* -1 (pow z 2)) (* 2 (pow z 2))) (+ (* 1/32 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/12 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))))))) (pow y 3))) (+ (* 1/2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (* 2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* 1/384 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (+ (* 1/48 (* (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (* 1/48 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4))))))))) (pow y 3))) (+ (* 2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* 1/32 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/12 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))) (pow (exp (* -1/2 z)) 2)))))) y)
(/ (pow (exp (* -1/2 z)) 2) y)
(* -1 (/ (+ (* -1 (pow (exp (* -1/2 z)) 2)) (* -1/2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y))
(* -1 (/ (+ (* -1 (/ (+ (* 1/16 (/ (* (pow (exp (* -1/2 z)) 2) (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) y)) (+ (* 1/2 (* (pow (exp (* -1/2 z)) 2) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (* 2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* -1/12 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/32 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)))) y)) (* -1 (pow (exp (* -1/2 z)) 2))) y))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* 1/16 (* (pow (exp (* -1/2 z)) 2) (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))) (* 2 (* (pow (exp (* -1/2 z)) 2) (+ (* -1/12 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/32 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))))))) (+ (* -1/2 (/ (* (pow (exp (* -1/2 z)) 2) (* (+ (* -1 (pow z 2)) (* 2 (pow z 2))) (+ (* -1/12 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/32 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))))) y)) (* 2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* -1/48 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (+ (* -1/384 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (* 1/48 (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) y)))) y)) (* 1/2 (* (pow (exp (* -1/2 z)) 2) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y)) (* -1 (pow (exp (* -1/2 z)) 2))) y))
(/ 1 y)
(+ (* -1 (/ z y)) (/ 1 y))
(+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))
(+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (* z (+ (* -2 (/ (+ 1/48 (+ (* 1/8 (/ 1 y)) (* 1/6 (/ 1 (pow y 2))))) y)) (* -1 (/ (+ 1/8 (* 1/4 (/ 1 y))) y))))))) (/ 1 y))) (/ 1 y))
(/ (pow (exp (* 1/2 (* y (+ (log y) (log (/ 1 z)))))) 2) y)
(+ (* -1 (/ (* y (pow (exp (* 1/2 (* y (+ (log y) (log (/ 1 z)))))) 2)) z)) (/ (pow (exp (* 1/2 (* y (+ (log y) (log (/ 1 z)))))) 2) y))
(+ (* -1 (/ (* y (pow (exp (* 1/2 (* y (+ (log y) (log (/ 1 z)))))) 2)) z)) (+ (* 1/4 (/ (* (pow y 3) (pow (exp (* 1/2 (* y (+ (log y) (log (/ 1 z)))))) 2)) (pow z 2))) (+ (* 2 (/ (* (pow (exp (* 1/2 (* y (+ (log y) (log (/ 1 z)))))) 2) (+ (* 1/8 (pow y 4)) (* 1/4 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))))) (* y (pow z 2)))) (/ (pow (exp (* 1/2 (* y (+ (log y) (log (/ 1 z)))))) 2) y))))
(+ (* -1 (/ (* y (* (pow (exp (* 1/2 (* y (+ (log y) (log (/ 1 z)))))) 2) (+ (* 1/8 (pow y 4)) (* 1/4 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow z 3))) (+ (* -1 (/ (* y (pow (exp (* 1/2 (* y (+ (log y) (log (/ 1 z)))))) 2)) z)) (+ (* 1/4 (/ (* (pow y 3) (pow (exp (* 1/2 (* y (+ (log y) (log (/ 1 z)))))) 2)) (pow z 2))) (+ (* 2 (/ (* (pow (exp (* 1/2 (* y (+ (log y) (log (/ 1 z)))))) 2) (+ (* -1/8 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (+ (* -1/48 (pow y 6)) (* 1/12 (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))))) (* y (pow z 3)))) (+ (* 2 (/ (* (pow (exp (* 1/2 (* y (+ (log y) (log (/ 1 z)))))) 2) (+ (* 1/8 (pow y 4)) (* 1/4 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))))) (* y (pow z 2)))) (/ (pow (exp (* 1/2 (* y (+ (log y) (log (/ 1 z)))))) 2) y))))))
(/ (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) y)
(+ (* -1 (/ (* y (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2)) z)) (/ (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) y))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (* (pow y 3) (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2))) (* 2 (/ (* (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) (+ (* 1/8 (pow y 4)) (* 1/4 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))))) y))) z)) (* y (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2))) z)) (/ (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) y))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 2 (/ (* (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) (+ (* 1/48 (pow y 6)) (+ (* 1/12 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (* 1/8 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) y)) (* y (* (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) (+ (* 1/8 (pow y 4)) (* 1/4 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))))))) z)) (+ (* 1/4 (* (pow y 3) (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2))) (* 2 (/ (* (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) (+ (* 1/8 (pow y 4)) (* 1/4 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))))) y)))) z)) (* y (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2))) z)) (/ (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) y))
(/ 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 (+ (* -1/2 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/24 (pow (+ (log y) (log (/ 1 z))) 3)) (+ (* 1/2 (/ 1 (pow z 2))) (* (+ (log y) (log (/ 1 z))) (- (* 1/8 (pow (+ (log y) (log (/ 1 z))) 2)) (* 1/2 (/ 1 z))))))))) (/ 1 z)))))))) y)
x
(+ x (/ (pow (exp (* -1/2 z)) 2) y))
(+ x (+ (* 1/2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (pow y 2))) (/ (pow (exp (* -1/2 z)) 2) y)))
(+ x (+ (* 1/16 (/ (* (pow (exp (* -1/2 z)) 2) (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (pow y 3))) (+ (* 1/2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (pow y 2))) (+ (* 2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* 1/32 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/12 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 3))) (/ (pow (exp (* -1/2 z)) 2) y)))))
x
(+ x (/ (pow (exp (* -1/2 z)) 2) y))
(+ x (* -1 (/ (+ (* -1 (pow (exp (* -1/2 z)) 2)) (* -1/2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y)))
(+ x (* -1 (/ (+ (* -1 (/ (+ (* 1/16 (/ (* (pow (exp (* -1/2 z)) 2) (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) y)) (+ (* 1/2 (* (pow (exp (* -1/2 z)) 2) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (* 2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* -1/12 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/32 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)))) y)) (* -1 (pow (exp (* -1/2 z)) 2))) y)))
(+ x (/ 1 y))
(+ x (+ (* -1 (/ z y)) (/ 1 y)))
(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))
(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (* z (+ (* -2 (/ (+ 1/48 (+ (* 1/8 (/ 1 y)) (* 1/6 (/ 1 (pow y 2))))) y)) (* -1 (/ (+ 1/8 (* 1/4 (/ 1 y))) y))))))) (/ 1 y))) (/ 1 y)))
(+ x (/ (pow (exp (* 1/2 (* y (+ (log y) (log (/ 1 z)))))) 2) y))
(+ x (+ (* -1 (/ (* y (pow (exp (* 1/2 (* y (+ (log y) (log (/ 1 z)))))) 2)) z)) (/ (pow (exp (* 1/2 (* y (+ (log y) (log (/ 1 z)))))) 2) y)))
(+ x (+ (* -1 (/ (* y (pow (exp (* 1/2 (* y (+ (log y) (log (/ 1 z)))))) 2)) z)) (+ (* 1/4 (/ (* (pow y 3) (pow (exp (* 1/2 (* y (+ (log y) (log (/ 1 z)))))) 2)) (pow z 2))) (+ (* 2 (/ (* (pow (exp (* 1/2 (* y (+ (log y) (log (/ 1 z)))))) 2) (+ (* 1/8 (pow y 4)) (* 1/4 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))))) (* y (pow z 2)))) (/ (pow (exp (* 1/2 (* y (+ (log y) (log (/ 1 z)))))) 2) y)))))
(+ x (+ (* -1 (/ (* y (* (pow (exp (* 1/2 (* y (+ (log y) (log (/ 1 z)))))) 2) (+ (* 1/8 (pow y 4)) (* 1/4 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow z 3))) (+ (* -1 (/ (* y (pow (exp (* 1/2 (* y (+ (log y) (log (/ 1 z)))))) 2)) z)) (+ (* 1/4 (/ (* (pow y 3) (pow (exp (* 1/2 (* y (+ (log y) (log (/ 1 z)))))) 2)) (pow z 2))) (+ (* 2 (/ (* (pow (exp (* 1/2 (* y (+ (log y) (log (/ 1 z)))))) 2) (+ (* -1/8 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (+ (* -1/48 (pow y 6)) (* 1/12 (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))))) (* y (pow z 3)))) (+ (* 2 (/ (* (pow (exp (* 1/2 (* y (+ (log y) (log (/ 1 z)))))) 2) (+ (* 1/8 (pow y 4)) (* 1/4 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))))) (* y (pow z 2)))) (/ (pow (exp (* 1/2 (* y (+ (log y) (log (/ 1 z)))))) 2) y)))))))
(+ x (/ (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) y))
(+ x (+ (* -1 (/ (* y (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2)) z)) (/ (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) y)))
(+ x (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (* (pow y 3) (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2))) (* 2 (/ (* (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) (+ (* 1/8 (pow y 4)) (* 1/4 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))))) y))) z)) (* y (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2))) z)) (/ (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) y)))
(+ x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 2 (/ (* (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) (+ (* 1/48 (pow y 6)) (+ (* 1/12 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (* 1/8 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) y)) (* y (* (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) (+ (* 1/8 (pow y 4)) (* 1/4 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))))))) z)) (+ (* 1/4 (* (pow y 3) (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2))) (* 2 (/ (* (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) (+ (* 1/8 (pow y 4)) (* 1/4 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))))) y)))) z)) (* y (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2))) z)) (/ (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) y)))
(/ (pow (exp (* 1/2 (* y (log (/ y (+ y z)))))) 2) y)
(+ x (/ (pow (exp (* 1/2 (* y (log (/ y (+ y z)))))) 2) y))
(+ x (/ (pow (exp (* 1/2 (* y (log (/ y (+ y z)))))) 2) y))
(+ x (/ (pow (exp (* 1/2 (* y (log (/ y (+ y z)))))) 2) y))
x
(* x (+ 1 (/ (pow (exp (* 1/2 (* y (log (/ y (+ y z)))))) 2) (* x y))))
(* x (+ 1 (/ (pow (exp (* 1/2 (* y (log (/ y (+ y z)))))) 2) (* x y))))
(* x (+ 1 (/ (pow (exp (* 1/2 (* y (log (/ y (+ y z)))))) 2) (* x y))))
x
(* -1 (* x (- (* -1 (/ (pow (exp (* 1/2 (* y (log (/ y (+ y z)))))) 2) (* x y))) 1)))
(* -1 (* x (- (* -1 (/ (pow (exp (* 1/2 (* y (log (/ y (+ y z)))))) 2) (* x y))) 1)))
(* -1 (* x (- (* -1 (/ (pow (exp (* 1/2 (* y (log (/ y (+ y z)))))) 2) (* x y))) 1)))
1
(+ 1 (* 1/2 (* y (+ (log y) (log (/ 1 z))))))
(+ 1 (* y (+ (* 1/2 (+ (log y) (log (/ 1 z)))) (* y (- (* 1/8 (pow (+ (log y) (log (/ 1 z))) 2)) (* 1/2 (/ 1 z)))))))
(+ 1 (* y (+ (* 1/2 (+ (log y) (log (/ 1 z)))) (* y (- (+ (* 1/8 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1/4 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/48 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/4 (/ 1 (pow z 2))))))) (* 1/2 (/ 1 z)))))))
(exp (* -1/2 z))
(+ (exp (* -1/2 z)) (* 1/4 (/ (* (exp (* -1/2 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)))
(+ (exp (* -1/2 z)) (+ (* 1/4 (/ (* (exp (* -1/2 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (/ (* (exp (* -1/2 z)) (+ (* 1/32 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/12 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))))
(+ (exp (* -1/2 z)) (+ (* 1/4 (/ (* (exp (* -1/2 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (/ (* (exp (* -1/2 z)) (+ (* 1/384 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (+ (* 1/48 (* (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (* 1/48 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4))))))))) (pow y 3)) (/ (* (exp (* -1/2 z)) (+ (* 1/32 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/12 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2)))))
(exp (* -1/2 z))
(+ (exp (* -1/2 z)) (* 1/4 (/ (* (exp (* -1/2 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)))
(+ (exp (* -1/2 z)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1/2 z)) (+ (* -1/12 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/32 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) (* -1/4 (* (exp (* -1/2 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y)))
(+ (exp (* -1/2 z)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1/2 z)) (+ (* -1/48 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (+ (* -1/384 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (* 1/48 (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) y)) (* (exp (* -1/2 z)) (+ (* -1/12 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/32 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))))) y)) (* -1/4 (* (exp (* -1/2 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y)))
1
(+ 1 (* -1/2 z))
(+ 1 (* z (- (* z (+ 1/8 (* 1/4 (/ 1 y)))) 1/2)))
(+ 1 (* z (- (* z (+ 1/8 (+ (* -1 (* z (+ 1/48 (+ (* 1/8 (/ 1 y)) (* 1/6 (/ 1 (pow y 2))))))) (* 1/4 (/ 1 y))))) 1/2)))
(exp (* 1/2 (* y (+ (log y) (log (/ 1 z))))))
(+ (exp (* 1/2 (* y (+ (log y) (log (/ 1 z)))))) (* -1/2 (/ (* (pow y 2) (exp (* 1/2 (* y (+ (log y) (log (/ 1 z))))))) z)))
(+ (exp (* 1/2 (* y (+ (log y) (log (/ 1 z)))))) (+ (* -1/2 (/ (* (pow y 2) (exp (* 1/2 (* y (+ (log y) (log (/ 1 z))))))) z)) (/ (* (exp (* 1/2 (* y (+ (log y) (log (/ 1 z)))))) (+ (* 1/8 (pow y 4)) (* 1/4 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))))) (pow z 2))))
(+ (exp (* 1/2 (* y (+ (log y) (log (/ 1 z)))))) (+ (* -1/2 (/ (* (pow y 2) (exp (* 1/2 (* y (+ (log y) (log (/ 1 z))))))) z)) (+ (/ (* (exp (* 1/2 (* y (+ (log y) (log (/ 1 z)))))) (+ (* -1/8 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (+ (* -1/48 (pow y 6)) (* 1/12 (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))))) (pow z 3)) (/ (* (exp (* 1/2 (* y (+ (log y) (log (/ 1 z)))))) (+ (* 1/8 (pow y 4)) (* 1/4 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))))) (pow z 2)))))
(exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z))))))
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(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)))

Outputs
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (+ 1 (* y (+ (log y) (log (/ 1 z))))) y)
(/.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 z)) y #s(literal 1 binary64)) y)
(/ (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z))))))) y)
(/.f64 (fma.f64 (+.f64 (fma.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) z))) y (neg.f64 (log.f64 z))) (log.f64 y)) y #s(literal 1 binary64)) y)
(/ (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1/2 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/24 (pow (+ (log y) (log (/ 1 z))) 3)) (+ (* 1/2 (/ 1 (pow z 2))) (* (+ (log y) (log (/ 1 z))) (- (* 1/8 (pow (+ (log y) (log (/ 1 z))) 2)) (* 1/2 (/ 1 z))))))))) (/ 1 z))))))) y)
(/.f64 (fma.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 (log.f64 y) (log.f64 z)) z) #s(literal -1/2 binary64) (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 3 binary64)) #s(literal 1/24 binary64) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 2 binary64)) (neg.f64 (/.f64 #s(literal 1/2 binary64) z))) (-.f64 (log.f64 y) (log.f64 z)) (/.f64 #s(literal 1/2 binary64) (.f64 z z))))) y (.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) z)) y (neg.f64 (log.f64 z))) (log.f64 y)) y #s(literal 1 binary64)) y)
(/ (pow (exp (* -1/2 z)) 2) y)
(/.f64 (exp.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/2 binary64) z))) y)
(/ (+ (* 1/2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (pow (exp (* -1/2 z)) 2)) y)
(/.f64 (fma.f64 (.f64 (exp.f64 (fma.f64 #s(literal -1/2 binary64) z (.f64 #s(literal -1/2 binary64) z))) (/.f64 (.f64 (.f64 z z) #s(literal 1 binary64)) y)) #s(literal 1/2 binary64) (exp.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/2 binary64) z)))) y)
(/ (+ (* 1/16 (/ (* (pow (exp (* -1/2 z)) 2) (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (pow y 2))) (+ (* 1/2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (* 2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* 1/32 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/12 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))) (pow (exp (* -1/2 z)) 2)))) y)
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(/ (+ (* 1/16 (/ (* (pow (exp (* -1/2 z)) 2) (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (pow y 2))) (+ (* 1/2 (/ (* (pow (exp (* -1/2 z)) 2) (* (+ (* -1 (pow z 2)) (* 2 (pow z 2))) (+ (* 1/32 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/12 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))))))) (pow y 3))) (+ (* 1/2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (* 2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* 1/384 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (+ (* 1/48 (* (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (* 1/48 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4))))))))) (pow y 3))) (+ (* 2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* 1/32 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/12 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))) (pow (exp (* -1/2 z)) 2)))))) y)
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(/ (pow (exp (* -1/2 z)) 2) y)
(/.f64 (exp.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/2 binary64) z))) y)
(* -1 (/ (+ (* -1 (pow (exp (* -1/2 z)) 2)) (* -1/2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y))
(neg.f64 (/.f64 (fma.f64 (.f64 (exp.f64 (fma.f64 #s(literal -1/2 binary64) z (.f64 #s(literal -1/2 binary64) z))) (/.f64 (.f64 (.f64 z z) #s(literal 1 binary64)) y)) #s(literal -1/2 binary64) (neg.f64 (exp.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/2 binary64) z))))) y))
(* -1 (/ (+ (* -1 (/ (+ (* 1/16 (/ (* (pow (exp (* -1/2 z)) 2) (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) y)) (+ (* 1/2 (* (pow (exp (* -1/2 z)) 2) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (* 2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* -1/12 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/32 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)))) y)) (* -1 (pow (exp (* -1/2 z)) 2))) y))
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(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* 1/16 (* (pow (exp (* -1/2 z)) 2) (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))) (* 2 (* (pow (exp (* -1/2 z)) 2) (+ (* -1/12 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/32 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))))))) (+ (* -1/2 (/ (* (pow (exp (* -1/2 z)) 2) (* (+ (* -1 (pow z 2)) (* 2 (pow z 2))) (+ (* -1/12 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/32 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))))) y)) (* 2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* -1/48 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (+ (* -1/384 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (* 1/48 (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) y)))) y)) (* 1/2 (* (pow (exp (* -1/2 z)) 2) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y)) (* -1 (pow (exp (* -1/2 z)) 2))) y))
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(/ 1 y)
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(+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))
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(+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (* z (+ (* -2 (/ (+ 1/48 (+ (* 1/8 (/ 1 y)) (* 1/6 (/ 1 (pow y 2))))) y)) (* -1 (/ (+ 1/8 (* 1/4 (/ 1 y))) y))))))) (/ 1 y))) (/ 1 y))
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(/ (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) y)
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(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64))
(+ 1 (* z (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)))
(fma.f64 (fma.f64 (+.f64 (fma.f64 (neg.f64 z) (+.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 1/2 binary64) y)) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64))
(exp (* y (+ (log y) (log (/ 1 z)))))
(exp.f64 (*.f64 (-.f64 (log.f64 y) (log.f64 z)) y))
(+ (exp (* y (+ (log y) (log (/ 1 z))))) (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z)))
(-.f64 (exp.f64 (.f64 (-.f64 (log.f64 y) (log.f64 z)) y)) (.f64 (.f64 y y) (/.f64 (exp.f64 (.f64 (-.f64 (log.f64 y) (log.f64 z)) y)) 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))))
(+.f64 (-.f64 (.f64 (exp.f64 (.f64 (-.f64 (log.f64 y) (log.f64 z)) y)) (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 (.f64 y y) #s(literal 1 binary64)) y (pow.f64 y #s(literal 4 binary64)))) (.f64 z z))) (.f64 (.f64 y y) (/.f64 (exp.f64 (.f64 (-.f64 (log.f64 y) (log.f64 z)) y)) z))) (exp.f64 (.f64 (-.f64 (log.f64 y) (log.f64 z)) y)))
(+ (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)))))
(+.f64 (-.f64 (fma.f64 (exp.f64 (.f64 (-.f64 (log.f64 y) (log.f64 z)) y)) (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 (.f64 y y) #s(literal 1 binary64)) y (pow.f64 y #s(literal 4 binary64)))) (.f64 z z)) (.f64 (exp.f64 (.f64 (-.f64 (log.f64 y) (log.f64 z)) y)) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) y)) (.f64 (.f64 y y) #s(literal 1 binary64)) (fma.f64 (.f64 #s(literal 1/6 binary64) y) (fma.f64 (.f64 (.f64 y y) y) #s(literal 4 binary64) (.f64 (.f64 (.f64 y y) y) #s(literal -6 binary64))) (.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 6 binary64))))) (.f64 (.f64 z z) z)))) (.f64 (.f64 y y) (/.f64 (exp.f64 (.f64 (-.f64 (log.f64 y) (log.f64 z)) y)) z))) (exp.f64 (*.f64 (-.f64 (log.f64 y) (log.f64 z)) y)))
(exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))
(exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y))) y))
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)))
(-.f64 (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y))) y)) (.f64 (.f64 y y) (/.f64 (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y))) y)) 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)))
(-.f64 (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y))) y)) (/.f64 (fma.f64 (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y))) y)) (.f64 y y) (neg.f64 (.f64 (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y))) y)) (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 (.f64 y y) #s(literal 1 binary64)) y (pow.f64 y #s(literal 4 binary64)))) 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)))
(-.f64 (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y))) y)) (/.f64 (-.f64 (.f64 (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y))) y)) (.f64 y y)) (/.f64 (-.f64 (.f64 (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y))) y)) (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 (.f64 y y) #s(literal 1 binary64)) y (pow.f64 y #s(literal 4 binary64))))) (.f64 (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y))) y)) (/.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) (fma.f64 (.f64 (.f64 y y) y) #s(literal 8 binary64) (.f64 (.f64 (.f64 y y) y) #s(literal -6 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) y)) (.f64 (.f64 y y) #s(literal 1 binary64)) (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/6 binary64)))) z))) z)) z))

rewrite298.0ms (2.8%)

Memory

3.7MiB live, 416.4MiB allocated

Rules

2 136×	`lower-*.f32`
2 126×	`lower-*.f64`
1 823×	`lower-fma.f32`
1 818×	`lower-fma.f64`
1 743×	`lower-pow.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	745
0	111	653
1	446	610
2	3888	610
0	8371	579

Stop Event

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

Counts

23 → 395

Calls

Call 1

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

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

eval240.0ms (2.2%)

Memory: 14.9MiB live, 318.6MiB allocated
Compiler: Compiled 65 019 to 4 014 computations (93.8% saved)

prune449.0ms (4.2%)

Memory

-50.3MiB live, 301.2MiB allocated

Pruning

27 alts after pruning (23 fresh and 4 done)

	Pruned	Kept	Total
New	1 246	11	1 257
Fresh	4	12	16
Picked	3	2	5
Done	1	2	3
Total	1 254	27	1 281

Accuracy

100.0%

Counts

1 281 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	29.2%	(/.f64 (fma.f64 (.f64 x x) x (/.f64 (.f64 (.f64 #s(approx (exp ( y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) (.f64 (.f64 y y) y))) (+.f64 (/.f64 (.f64 #s(approx (exp ( y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) (.f64 y y)) (-.f64 (.f64 x x) (/.f64 (.f64 x #s(approx (exp ( y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z))) y))))
	17.7%	(/.f64 (fma.f64 (.f64 x x) x (/.f64 (.f64 (.f64 #s(approx (exp ( y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) (.f64 (.f64 y y) y))) (+.f64 (/.f64 (.f64 #s(approx (exp ( y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) (.f64 y y)) #s(approx (- ( x x) (/ (* x (exp (* y (log (/ y (+ z y)))))) y)) (neg.f64 (/.f64 x y)))))
	20.7%	(/.f64 (fma.f64 (.f64 x x) x (/.f64 (.f64 (.f64 #s(approx (exp ( y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) (.f64 (.f64 y y) y))) #s(approx (+ (/ (* (exp (* y (log (/ y (+ z y))))) (exp (* y (log (/ y (+ z y)))))) (* y y)) (- (* x x) (/ (* x (exp (* y (log (/ y (+ z y)))))) y))) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
	20.0%	(/.f64 (fma.f64 (.f64 x x) x (/.f64 (.f64 (.f64 #s(approx (exp ( y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) (.f64 (.f64 y y) y))) #s(approx (+ (/ (* (exp (* y (log (/ y (+ z y))))) (exp (* y (log (/ y (+ z y)))))) (* y y)) (- (* x x) (/ (* x (exp (* y (log (/ y (+ z y)))))) y))) (*.f64 x x)))
	50.5%	(/.f64 (-.f64 (/.f64 (.f64 #s(approx (exp ( y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) (.f64 y y)) (.f64 x x)) (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x))
	17.4%	(/.f64 #s(approx (+ (* (* x x) x) (/ (* (* (exp (* y (log (/ y (+ z y))))) (exp (* y (log (/ y (+ z y)))))) (exp (* y (log (/ y (+ z y)))))) (* (* y y) y))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) y))) (+.f64 (/.f64 (.f64 #s(approx (exp ( y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) (.f64 y y)) (-.f64 (.f64 x x) (/.f64 (.f64 x #s(approx (exp ( y (log (/ y (+ z y))))) #s(literal 1 binary64))) y))))
	59.5%	(+.f64 (/.f64 (pow.f64 #s(approx (/ y (+ z y)) (/.f64 y z)) y) y) x)
	80.7%	(+.f64 (/.f64 #s(approx (pow (/ y (+ z y)) y) (exp.f64 (neg.f64 z))) y) x)
	59.5%	(+.f64 (.f64 (pow.f64 (/.f64 y (+.f64 z y)) (.f64 y #s(literal 1/2 binary64))) (/.f64 (pow.f64 #s(approx (/ y (+ z y)) (/.f64 y z)) (*.f64 y #s(literal 1/2 binary64))) y)) x)
	66.3%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64))) z #s(literal 1 binary64))) y))
	45.2%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 (/.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (.f64 #s(literal 1/2 binary64) z)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (.f64 #s(literal -1/2 binary64) z))) (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))
	67.3%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 #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))
	40.1%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) z) z))) y))
✓	86.7%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
	29.2%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 #s(approx (/ y (+ z y)) (/.f64 y z)) y) y))
✓	32.6%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ z y)) y) (fma.f64 (fma.f64 #s(approx (+ (* (- -1/6 (+ (/ 1/3 (* y y)) (/ 1/2 y))) z) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y))
	28.2%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ z y)) y) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 #s(approx (+ (* (- -1/6 (+ (/ 1/3 (* y y)) (/ 1/2 y))) z) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z) #s(approx (+ (* (- -1/6 (+ (/ 1/3 (* y y)) (/ 1/2 y))) z) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)))) z #s(literal -1 binary64)) (fma.f64 #s(approx (+ (* (- -1/6 (+ (/ 1/3 (* y y)) (/ 1/2 y))) z) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal 1 binary64))) z #s(literal 1 binary64))) y))
	32.7%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ z y)) y) (fma.f64 #s(approx (+ (* (+ (* (- -1/6 (+ (/ 1/3 (* y y)) (/ 1/2 y))) z) (+ (/ 1/2 y) 1/2)) z) -1) #s(approx (* (- -1/6 (+ (/ 1/3 (* y y)) (/ 1/2 y))) (* z z)) (.f64 #s(literal -1/6 binary64) (.f64 z z)))) z #s(literal 1 binary64))) y))
	36.3%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ z y)) y) (exp.f64 (neg.f64 z))) y))
	3.2%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ z y)) y) #s(approx (- 1 z) (neg.f64 z))) y))
	5.9%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ z y)) y) #s(approx (+ (* (+ (* (+ (* (- -1/6 (+ (/ 1/3 (* y y)) (/ 1/2 y))) z) (+ (/ 1/2 y) 1/2)) z) -1) z) 1) (/.f64 (.f64 #s(literal -1/3 binary64) (.f64 (.f64 z z) z)) (.f64 y y)))) y))
	26.0%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) (/.f64 y #s(approx (pow (/ y (+ z y)) y) (-.f64 #s(literal 1 binary64) z)))))
	32.6%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) (/.f64 y #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (- -1/6 (+ (/ 1/3 (* y y)) (/ 1/2 y))) z) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))))))
✓	41.6%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
	26.0%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (pow (/ y (+ z y)) y) (-.f64 #s(literal 1 binary64) z))))
	32.6%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (exp ( y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (- -1/6 (+ (/ 1/3 (* y y)) (/ 1/2 y))) z) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64)))))
✓	2.2%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y)))

Compiler

Compiled 1 647 to 487 computations (70.4% saved)

regimes163.0ms (1.5%)

Memory

10.7MiB live, 163.9MiB allocated

Counts

56 → 3

Calls

Call 1

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

90.0ms	(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
18.0ms	x
18.0ms	z
17.0ms	y
16.0ms	(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)

Results

Accuracy	Segments	Branch
88.3%	2	`x`
98.9%	3	`y`
92.8%	2	`z`
89.4%	2	`(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))`
96.9%	5	`(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)`

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes77.0ms (0.7%)

Memory

-11.2MiB live, 69.1MiB allocated

Counts

45 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

36.0ms	(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
25.0ms	y
13.0ms	z

Results

Accuracy	Segments	Branch
89.4%	2	`(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)`
89.0%	2	`z`
90.9%	2	`y`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes5.0ms (0%)

Memory

8.8MiB live, 8.8MiB allocated

Counts

11 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
89.9%	2	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes20.0ms (0.2%)

Memory

-7.1MiB live, 31.9MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

5 calls:

6.0ms	x
3.0ms	y
3.0ms	z
3.0ms	(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
3.0ms	(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)

Results

Accuracy	Segments	Branch
86.7%	1	`x`
86.7%	1	`z`
86.7%	1	`(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))`
86.7%	1	`(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)`
86.7%	1	`y`

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes12.0ms (0.1%)

Memory

22.6MiB live, 22.6MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
41.6%	1	`(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)`
41.6%	1	`z`
41.6%	1	`x`
41.6%	1	`y`
41.6%	1	`(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))`

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes11.0ms (0.1%)

Memory

-23.8MiB live, 15.4MiB 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)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y)))

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

Calls

5 calls:

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

Results

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

Compiler

Compiled 42 to 28 computations (33.3% saved)

bsearch22.0ms (0.2%)

Memory

27.9MiB live, 27.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
5.0ms	0.00041766270926696023	11.172079375040731
15.0ms	-5.228392173503585	-0.05022539137852402

Samples

11.0ms	144×	0	valid
2.0ms	35×	0	invalid

Compiler

Compiled 217 to 151 computations (30.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-div: 2.0ms (21.9% of total)

ival-log: 2.0ms (21.9% of total)

ival-add: 2.0ms (21.9% of total)

ival-exp: 1.0ms (10.9% of total)

ival-mult: 1.0ms (10.9% of total)

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

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

bsearch6.0ms (0.1%)

Memory

6.7MiB live, 6.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
5.0ms	-5.228392173503585	-0.05022539137852402

Samples

3.0ms	32×	0	valid
1.0ms	8×	0	invalid

Compiler

Compiled 229 to 156 computations (31.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-div: 1.0ms (45.2% of total)

ival-log: 1.0ms (45.2% of total)

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

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

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

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

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

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-5.228392173503585	-0.05022539137852402

Compiler

Compiled 208 to 142 computations (31.7% saved)

simplify41.0ms (0.4%)

Memory

-27.6MiB live, 11.7MiB allocated

Algorithm

1×	egg-herbie

Rules

5×	`+-commutative_binary64`
1×	`*-commutative_binary64`
1×	`sub-neg_binary64`
1×	`1-exp_binary64`
1×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	224
1	74	224
2	76	224
3	77	224

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 y #s(literal -7926335344172073/9007199254740992 binary64)) (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) (if (<=.f64 y #s(literal 1152921504606847/2305843009213693952 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))))
(if (<=.f64 y #s(literal -3512807709348987/4503599627370496 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (neg (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y)))) z) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)))
(if (<=.f64 y #s(literal -3512807709348987/4503599627370496 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64))) z #s(literal 1 binary64))) y)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y)))

Outputs
(if (<=.f64 y #s(literal -7926335344172073/9007199254740992 binary64)) (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) (if (<=.f64 y #s(literal 1152921504606847/2305843009213693952 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))))
(if (<=.f64 y #s(literal -7926335344172073/9007199254740992 binary64)) (+.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) x) (if (<=.f64 y #s(literal 1152921504606847/2305843009213693952 binary64)) (+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x) (+.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) x)))
(if (<=.f64 y #s(literal -3512807709348987/4503599627370496 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (neg (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y)))) z) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)))
(if (<=.f64 y #s(literal -3512807709348987/4503599627370496 binary64)) (+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (neg (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y)))) z) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y) x) (+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x))
(if (<=.f64 y #s(literal -3512807709348987/4503599627370496 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64))) z #s(literal 1 binary64))) y)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)))
(if (<=.f64 y #s(literal -3512807709348987/4503599627370496 binary64)) (+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64))) z #s(literal 1 binary64))) y) x) (+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
(+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x)
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y)))

soundness754.0ms (7%)

Memory

13.7MiB live, 482.7MiB allocated

Rules

4 685×	`lower-fma.f64`
4 685×	`lower-fma.f32`
4 542×	`lower-fma.f64`
4 542×	`lower-fma.f32`
4 284×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	363
0	71	341
1	318	335
2	2782	335
0	8313	329
0	602	14312
1	1887	12457
2	6185	12100
0	8522	11472
0	589	14134
1	1838	12305
2	6006	11944
0	8236	11332
0	603	4108
1	1814	3482
2	6086	3379
0	8218	3225

Stop Event

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

Compiler

Compiled 188 to 103 computations (45.2% saved)

preprocess100.0ms (0.9%)

Memory: 14.7MiB live, 135.8MiB allocated
Compiler: Compiled 290 to 126 computations (56.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze278.0ms (2.6%)

sample2.0s (18.6%)

explain233.0ms (2.2%)

preprocess231.0ms (2.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize107.0ms (1%)

series40.0ms (0.4%)

simplify295.0ms (2.8%)

rewrite188.0ms (1.8%)

eval117.0ms (1.1%)

prune151.0ms (1.4%)

simplify189.0ms (1.8%)

localize306.0ms (2.9%)

series55.0ms (0.5%)

simplify308.0ms (2.9%)

rewrite271.0ms (2.5%)

eval241.0ms (2.2%)

prune486.0ms (4.5%)

simplify182.0ms (1.7%)

localize355.0ms (3.3%)

series43.0ms (0.4%)

simplify379.0ms (3.5%)

rewrite245.0ms (2.3%)

eval244.0ms (2.3%)

prune249.0ms (2.3%)

simplify267.0ms (2.5%)

localize470.0ms (4.4%)

series225.0ms (2.1%)

simplify370.0ms (3.5%)

rewrite298.0ms (2.8%)

eval240.0ms (2.2%)

prune449.0ms (4.2%)

regimes163.0ms (1.5%)

regimes77.0ms (0.7%)

regimes5.0ms (0%)

regimes20.0ms (0.2%)

regimes12.0ms (0.1%)

regimes11.0ms (0.1%)

bsearch22.0ms (0.2%)

bsearch6.0ms (0.1%)

bsearch1.0ms (0%)

simplify41.0ms (0.4%)

soundness754.0ms (7%)

preprocess100.0ms (0.9%)

end0.0ms (0%)

Profiling