Metrics for Jmat.Real.lambertw, newton loop step

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze97.0ms (1.1%)

Memory

-1.9MiB live, 236.1MiB 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
50%	50%	50%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
50%	50%	50%	0.1%	0%	0%	0%	5
62.5%	62.4%	37.5%	0.1%	0%	0%	0%	6
62.5%	62.4%	37.5%	0.1%	0%	0%	0%	7
68.8%	68.7%	31.2%	0.1%	0%	0%	0%	8
68.8%	68.7%	31.2%	0.1%	0%	0%	0%	9
71.9%	71.8%	28.1%	0.1%	0%	0%	0%	10
71.9%	71.8%	28.1%	0.1%	0%	0%	0%	11
73.4%	73.4%	26.5%	0.1%	0%	0%	0%	12

Compiler

Compiled 18 to 10 computations (44.4% saved)

sample2.4s (25.4%)

Memory

17.9MiB live, 3 063.1MiB allocated

Samples

593.0ms	7 673×	0	exit
455.0ms	6 455×	0	valid
316.0ms	1 801×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 848.0ms

ival-exp: 211.0ms (24.9% of total)

ival-sub: 188.0ms (22.2% of total)

ival-mult: 177.0ms (20.9% of total)

ival-div: 112.0ms (13.2% of total)

ival-add: 91.0ms (10.7% of total)

adjust: 49.0ms (5.8% of total)

ival-true: 13.0ms (1.5% of total)

ival-assert: 6.0ms (0.7% of total)

Bogosity

explain142.0ms (1.5%)

Memory

18.3MiB live, 294.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
70	-	-	`(-.f64 wj (/.f64 (-.f64 (.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (.f64 wj (exp.f64 wj)))))`
2	-	-	`(/.f64 (-.f64 (.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (.f64 wj (exp.f64 wj))))`
0	-	-	`(-.f64 (*.f64 wj (exp.f64 wj)) x)`
0	-	-	`(+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj)))`
0	-	-	`(*.f64 wj (exp.f64 wj))`
0	-	-	`(exp.f64 wj)`
0	-	-	`wj`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 wj (/.f64 (-.f64 (.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (.f64 wj (exp.f64 wj)))))`	cancellation	70	0
`/.f64`	`(/.f64 (-.f64 (.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (.f64 wj (exp.f64 wj))))`	o/o	2	0
↳	`(*.f64 wj (exp.f64 wj))`	overflow	2
↳	`(-.f64 (*.f64 wj (exp.f64 wj)) x)`	overflow	2
↳	`(exp.f64 wj)`	overflow	2
↳	`(*.f64 wj (exp.f64 wj))`	overflow	2
↳	`(+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj)))`	overflow	2
↳	`(exp.f64 wj)`	overflow	4

Confusion

	Predicted +	Predicted -
+	72	4
-	0	180

Precision

1.0

Recall

0.9473684210526315

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	72	0	4
-	0	0	180

Precision?

1.0

Recall?

0.9473684210526315

Freqs

test

number	freq
0	184
1	72

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

32.0ms	378×	0	valid
23.0ms	134×	1	valid

Compiler

Compiled 122 to 28 computations (77% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-exp: 10.0ms (26.7% of total)

ival-sub: 10.0ms (26.7% of total)

ival-div: 6.0ms (16% of total)

ival-mult: 5.0ms (13.4% of total)

adjust: 3.0ms (8% of total)

ival-add: 3.0ms (8% of total)

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

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

preprocess244.0ms (2.6%)

Memory

17.4MiB live, 171.7MiB allocated

Algorithm

1×	egg-herbie

Rules

8 168×	`lower-fma.f64`
8 168×	`lower-fma.f32`
3 376×	`lower-*.f32`
3 374×	`lower-*.f64`
1 284×	`unsub-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	24	89
1	69	87
2	240	75
3	990	64
4	4164	60
5	7154	60
0	8	16
0	14	15
1	26	15
2	61	15
3	172	12
4	529	12
5	1519	12
6	3489	12
7	4786	12
8	5929	12
9	7036	12
0	8154	12

Stop Event

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

Calls

Call 1

Inputs
(-.f64 wj (/.f64 (-.f64 (.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (.f64 wj (exp.f64 wj)))))

Outputs
(-.f64 wj (/.f64 (-.f64 (.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (.f64 wj (exp.f64 wj)))))
(-.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (-.f64 #s(literal -1 binary64) wj)))

Compiler

Compiled 16 to 8 computations (50% saved)

eval35.0ms (0.4%)

Memory: -16.1MiB live, 29.1MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.0%	(-.f64 wj (/.f64 (-.f64 (.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (.f64 wj (exp.f64 wj)))))

Compiler

Compiled 16 to 8 computations (50% saved)

simplify143.0ms (1.5%)

Memory

6.9MiB live, 162.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (*.f64 wj (exp.f64 wj)) x)
cost-diff	0	(-.f64 wj (/.f64 (-.f64 (.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (.f64 wj (exp.f64 wj)))))
cost-diff	128	(+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj)))
cost-diff	12608	(/.f64 (-.f64 (.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (.f64 wj (exp.f64 wj))))

Rules

8 168×	`lower-fma.f64`
8 168×	`lower-fma.f32`
3 376×	`lower-*.f32`
3 374×	`lower-*.f64`
1 272×	`div-sub`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	8	51
0	14	48
1	26	48
2	61	48
3	172	42
4	529	42
5	1519	42
6	3489	42
7	4786	42
8	5929	42
9	7036	42
0	8154	42

Stop Event

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

Calls

Call 1

Inputs
(-.f64 wj (/.f64 (-.f64 (.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (.f64 wj (exp.f64 wj)))))
wj
(/.f64 (-.f64 (.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (.f64 wj (exp.f64 wj))))
(-.f64 (*.f64 wj (exp.f64 wj)) x)
(*.f64 wj (exp.f64 wj))
(exp.f64 wj)
x
(+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj)))

Outputs
(-.f64 wj (/.f64 (-.f64 (.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (.f64 wj (exp.f64 wj)))))
(-.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (-.f64 #s(literal -1 binary64) wj)))
wj
(/.f64 (-.f64 (.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (.f64 wj (exp.f64 wj))))
(/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (-.f64 #s(literal -1 binary64) wj))
(-.f64 (*.f64 wj (exp.f64 wj)) x)
(-.f64 (*.f64 (exp.f64 wj) wj) x)
(*.f64 wj (exp.f64 wj))
(*.f64 (exp.f64 wj) wj)
(exp.f64 wj)
x
(+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj)))
(fma.f64 (exp.f64 wj) wj (exp.f64 wj))

localize32.0ms (0.3%)

Memory

-7.6MiB live, 69.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(*.f64 wj (exp.f64 wj))
accuracy	0.01953125	(+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj)))
accuracy	0.49609926626366085	(/.f64 (-.f64 (.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (.f64 wj (exp.f64 wj))))
accuracy	15.791486549021545	(-.f64 wj (/.f64 (-.f64 (.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (.f64 wj (exp.f64 wj)))))

Samples

13.0ms	189×	0	valid
12.0ms	67×	1	valid

Compiler

Compiled 53 to 10 computations (81.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-exp: 6.0ms (37.9% of total)

ival-sub: 3.0ms (19% of total)

ival-div: 2.0ms (12.6% of total)

ival-mult: 2.0ms (12.6% of total)

adjust: 1.0ms (6.3% of total)

ival-add: 1.0ms (6.3% of total)

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

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

series280.0ms (3%)

Memory

-127.2MiB live, 50.4MiB allocated

Counts

5 → 96

Calls

Call 1

Inputs
#s(alt (/.f64 (-.f64 (.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (.f64 wj (exp.f64 wj)))) (patch (/.f64 (-.f64 (.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (.f64 wj (exp.f64 wj)))) #<representation binary64>) () ())
#s(alt (+.f64 (exp.f64 wj) (.f64 wj (exp.f64 wj))) (patch (+.f64 (exp.f64 wj) (.f64 wj (exp.f64 wj))) #<representation binary64>) () ())
#s(alt (-.f64 wj (/.f64 (-.f64 (.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (.f64 wj (exp.f64 wj))))) (patch (-.f64 wj (/.f64 (-.f64 (.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (.f64 wj (exp.f64 wj))))) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 wj (exp.f64 wj)) x) (patch (-.f64 (.f64 wj (exp.f64 wj)) x) #<representation binary64>) () ())
#s(alt (.f64 wj (exp.f64 wj)) (patch (.f64 wj (exp.f64 wj)) #<representation binary64>) () ())

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

Calls

6 calls:

Time	Variable		Point	Expression
259.0ms	x	@	inf	((/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (+ (exp wj) (* wj (exp wj))) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (- (* wj (exp wj)) x) (* wj (exp wj)))
12.0ms	x	@	-inf	((/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (+ (exp wj) (* wj (exp wj))) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (- (* wj (exp wj)) x) (* wj (exp wj)))
2.0ms	wj	@	-inf	((/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (+ (exp wj) (* wj (exp wj))) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (- (* wj (exp wj)) x) (* wj (exp wj)))
1.0ms	wj	@	0	((/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (+ (exp wj) (* wj (exp wj))) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (- (* wj (exp wj)) x) (* wj (exp wj)))
1.0ms	wj	@	inf	((/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (+ (exp wj) (* wj (exp wj))) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (- (* wj (exp wj)) x) (* wj (exp wj)))

simplify186.0ms (2%)

Memory

4.9MiB live, 279.1MiB allocated

Algorithm

1×	egg-herbie

Rules

16 880×	`lower-fma.f64`
16 880×	`lower-fma.f32`
4 600×	`lower-*.f64`
4 600×	`lower-*.f32`
3 588×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	229	1279
1	703	1230
2	2140	1025
3	7956	962
0	8911	916

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 92

Calls

Call 1

Inputs
(* -1 x)
(+ (* -1 x) (* wj (- 1 (* -2 x))))
(+ (* -1 x) (* wj (- (+ 1 (* wj (- 1 (+ (* -3/2 x) (* 2 (- 1 (* -2 x))))))) (* -2 x))))
(+ (* -1 x) (* wj (- (+ 1 (* wj (- (+ 1 (* wj (- 1/2 (+ (* -2/3 x) (+ (* 3/2 (- 1 (* -2 x))) (* 2 (- 1 (+ (* -3/2 x) (* 2 (- 1 (* -2 x))))))))))) (+ (* -3/2 x) (* 2 (- 1 (* -2 x))))))) (* -2 x))))
1
(+ 1 (* 2 wj))
(+ 1 (* wj (+ 2 (* 3/2 wj))))
(+ 1 (* wj (+ 2 (* wj (+ 3/2 (* 2/3 wj))))))
x
(+ x (* -2 (* wj x)))
(+ x (* wj (- (* wj (- 1 (+ (* -4 x) (* 3/2 x)))) (* 2 x))))
(+ x (* wj (- (* wj (- (+ 1 (* -1 (* wj (+ 1 (+ (* -3 x) (+ (* -2 (+ (* -4 x) (* 3/2 x))) (* 2/3 x))))))) (+ (* -4 x) (* 3/2 x)))) (* 2 x))))
(* -1 x)
(- wj x)
(- (* wj (+ 1 wj)) x)
(- (* wj (+ 1 (* wj (+ 1 (* 1/2 wj))))) x)
wj
(* wj (+ 1 wj))
(* wj (+ 1 (* wj (+ 1 (* 1/2 wj)))))
(* wj (+ 1 (* wj (+ 1 (* wj (+ 1/2 (* 1/6 wj)))))))
1
(- (+ 1 (* -1 (/ x (* wj (exp wj))))) (/ 1 wj))
(- (+ 1 (+ (* -1 (/ x (* wj (exp wj)))) (/ 1 (pow wj 2)))) (+ (* -1 (/ x (* (pow wj 2) (exp wj)))) (/ 1 wj)))
(- (+ 1 (+ (* -1 (/ x (* wj (exp wj)))) (+ (* -1 (/ x (* (pow wj 3) (exp wj)))) (/ 1 (pow wj 2))))) (+ (* -1 (/ x (* (pow wj 2) (exp wj)))) (+ (/ 1 wj) (/ 1 (pow wj 3)))))
(* wj (exp wj))
(* wj (+ (exp wj) (/ (exp wj) wj)))
(* wj (+ (exp wj) (/ (exp wj) wj)))
(* wj (+ (exp wj) (/ (exp wj) wj)))
wj
(* wj (- 1 (/ 1 wj)))
(* wj (- (+ 1 (+ (/ 1 (pow wj 2)) (/ x (* (pow wj 2) (exp wj))))) (/ 1 wj)))
(* wj (- (+ 1 (+ (* -1 (/ (+ 1 (/ x (exp wj))) (pow wj 3))) (+ (/ 1 (pow wj 2)) (/ x (* (pow wj 2) (exp wj)))))) (/ 1 wj)))
(* wj (exp wj))
(* wj (+ (exp wj) (* -1 (/ x wj))))
(* wj (+ (exp wj) (* -1 (/ x wj))))
(* wj (+ (exp wj) (* -1 (/ x wj))))
(* wj (exp wj))
(* wj (exp wj))
(* wj (exp wj))
(* wj (exp wj))
1
(+ 1 (* -1 (/ (+ 1 (/ x (exp wj))) wj)))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (/ x (exp wj))) wj)) (/ x (exp wj)))) wj)))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 (/ (- (* -1 (/ (+ 1 (/ x (exp wj))) wj)) (* -1 (+ 1 (/ x (exp wj))))) wj)) (/ x (exp wj)))) wj)))
(* wj (exp wj))
(* -1 (* wj (+ (* -1 (exp wj)) (* -1 (/ (exp wj) wj)))))
(* -1 (* wj (+ (* -1 (exp wj)) (* -1 (/ (exp wj) wj)))))
(* -1 (* wj (+ (* -1 (exp wj)) (* -1 (/ (exp wj) wj)))))
wj
(* -1 (* wj (- (/ 1 wj) 1)))
(* -1 (* wj (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ x (exp wj))) 1) wj)) 1) wj)) 1)))
(* -1 (* wj (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ x (exp wj))) (+ (/ 1 wj) (/ x (* wj (exp wj))))) 1) wj)) 1) wj)) 1)))
(* wj (exp wj))
(* -1 (* wj (+ (* -1 (exp wj)) (/ x wj))))
(* -1 (* wj (+ (* -1 (exp wj)) (/ x wj))))
(* -1 (* wj (+ (* -1 (exp wj)) (/ x wj))))
(* wj (exp wj))
(* wj (exp wj))
(* wj (exp wj))
(* wj (exp wj))
(/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))
(+ (* -1 (/ x (+ (exp wj) (* wj (exp wj))))) (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))
(+ (* -1 (/ x (+ (exp wj) (* wj (exp wj))))) (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))
(+ (* -1 (/ x (+ (exp wj) (* wj (exp wj))))) (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))
(- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))
(- (+ wj (/ x (+ (exp wj) (* wj (exp wj))))) (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))
(- (+ wj (/ x (+ (exp wj) (* wj (exp wj))))) (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))
(- (+ wj (/ x (+ (exp wj) (* wj (exp wj))))) (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))
(* wj (exp wj))
(+ (* -1 x) (* wj (exp wj)))
(+ (* -1 x) (* wj (exp wj)))
(+ (* -1 x) (* wj (exp wj)))
(* -1 (/ x (+ (exp wj) (* wj (exp wj)))))
(* x (- (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj))))) (/ 1 (+ (exp wj) (* wj (exp wj))))))
(* x (- (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj))))) (/ 1 (+ (exp wj) (* wj (exp wj))))))
(* x (- (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj))))) (/ 1 (+ (exp wj) (* wj (exp wj))))))
(/ x (+ (exp wj) (* wj (exp wj))))
(* x (- (+ (/ 1 (+ (exp wj) (* wj (exp wj)))) (/ wj x)) (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))))
(* x (- (+ (/ 1 (+ (exp wj) (* wj (exp wj)))) (/ wj x)) (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))))
(* x (- (+ (/ 1 (+ (exp wj) (* wj (exp wj)))) (/ wj x)) (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))))
(* -1 x)
(* x (- (/ (* wj (exp wj)) x) 1))
(* x (- (/ (* wj (exp wj)) x) 1))
(* x (- (/ (* wj (exp wj)) x) 1))
(* -1 (/ x (+ (exp wj) (* wj (exp wj)))))
(* -1 (* x (+ (* -1 (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(* -1 (* x (+ (* -1 (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(* -1 (* x (+ (* -1 (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(/ x (+ (exp wj) (* wj (exp wj))))
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (* wj (exp wj)) x)))))
(* -1 (* x (+ 1 (* -1 (/ (* wj (exp wj)) x)))))
(* -1 (* x (+ 1 (* -1 (/ (* wj (exp wj)) x)))))

Outputs
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (* wj (- 1 (* -2 x))))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) wj (neg.f64 x))
(+ (* -1 x) (* wj (- (+ 1 (* wj (- 1 (+ (* -3/2 x) (* 2 (- 1 (* -2 x))))))) (* -2 x))))
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 5/2 binary64) x))) wj (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj (neg.f64 x))
(+ (* -1 x) (* wj (- (+ 1 (* wj (- (+ 1 (* wj (- 1/2 (+ (* -2/3 x) (+ (* 3/2 (- 1 (* -2 x))) (* 2 (- 1 (+ (* -3/2 x) (* 2 (- 1 (* -2 x))))))))))) (+ (* -3/2 x) (* 2 (- 1 (* -2 x))))))) (* -2 x))))
(fma.f64 (fma.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2/3 binary64) x (fma.f64 #s(literal 3 binary64) x #s(literal 3/2 binary64)))) (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 5/2 binary64) x)) #s(literal 2 binary64))) wj (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 5/2 binary64) x)))) wj (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj (neg.f64 x))
1
#s(literal 1 binary64)
(+ 1 (* 2 wj))
(fma.f64 #s(literal 2 binary64) wj #s(literal 1 binary64))
(+ 1 (* wj (+ 2 (* 3/2 wj))))
(fma.f64 (fma.f64 #s(literal 3/2 binary64) wj #s(literal 2 binary64)) wj #s(literal 1 binary64))
(+ 1 (* wj (+ 2 (* wj (+ 3/2 (* 2/3 wj))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) wj #s(literal 3/2 binary64)) wj #s(literal 2 binary64)) wj #s(literal 1 binary64))
x
(+ x (* -2 (* wj x)))
(fma.f64 (*.f64 wj x) #s(literal -2 binary64) x)
(+ x (* wj (- (* wj (- 1 (+ (* -4 x) (* 3/2 x)))) (* 2 x))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x)) wj x)
(+ x (* wj (- (* wj (- (+ 1 (* -1 (* wj (+ 1 (+ (* -3 x) (+ (* -2 (+ (* -4 x) (* 3/2 x))) (* 2/3 x))))))) (+ (* -4 x) (* 3/2 x)))) (* 2 x))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (.f64 #s(literal -2 binary64) x)) wj x)
(* -1 x)
(neg.f64 x)
(- wj x)
(-.f64 wj x)
(- (* wj (+ 1 wj)) x)
(fma.f64 wj wj (-.f64 wj x))
(- (* wj (+ 1 (* wj (+ 1 (* 1/2 wj))))) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) wj #s(literal 1 binary64)) wj #s(literal 1 binary64)) wj (neg.f64 x))
wj
(* wj (+ 1 wj))
(fma.f64 wj wj wj)
(* wj (+ 1 (* wj (+ 1 (* 1/2 wj)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) wj #s(literal 1 binary64)) wj #s(literal 1 binary64)) wj)
(* wj (+ 1 (* wj (+ 1 (* wj (+ 1/2 (* 1/6 wj)))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) wj #s(literal 1/2 binary64)) wj #s(literal 1 binary64)) wj #s(literal 1 binary64)) wj)
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ x (* wj (exp wj))))) (/ 1 wj))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) #s(literal -1 binary64)) wj))
(- (+ 1 (+ (* -1 (/ x (* wj (exp wj)))) (/ 1 (pow wj 2)))) (+ (* -1 (/ x (* (pow wj 2) (exp wj)))) (/ 1 wj)))
(neg.f64 (fma.f64 (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) #s(literal -1 binary64)) wj) (-.f64 (/.f64 #s(literal -1 binary64) wj) #s(literal -1 binary64)) #s(literal -1 binary64)))
(- (+ 1 (+ (* -1 (/ x (* wj (exp wj)))) (+ (* -1 (/ x (* (pow wj 3) (exp wj)))) (/ 1 (pow wj 2))))) (+ (* -1 (/ x (* (pow wj 2) (exp wj)))) (+ (/ 1 wj) (/ 1 (pow wj 3)))))
(-.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 wj #s(literal 3 binary64))) (/.f64 x (exp.f64 wj)) (/.f64 (*.f64 (-.f64 (/.f64 x (exp.f64 wj)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal -1 binary64) wj) #s(literal -1 binary64))) (neg.f64 wj))) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 wj #s(literal 3 binary64))) #s(literal 1 binary64)))
(* wj (exp wj))
(*.f64 (exp.f64 wj) wj)
(* wj (+ (exp wj) (/ (exp wj) wj)))
(fma.f64 (exp.f64 wj) wj (exp.f64 wj))
(* wj (+ (exp wj) (/ (exp wj) wj)))
(fma.f64 (exp.f64 wj) wj (exp.f64 wj))
(* wj (+ (exp wj) (/ (exp wj) wj)))
(fma.f64 (exp.f64 wj) wj (exp.f64 wj))
wj
(* wj (- 1 (/ 1 wj)))
(+.f64 wj #s(literal -1 binary64))
(* wj (- (+ 1 (+ (/ 1 (pow wj 2)) (/ x (* (pow wj 2) (exp wj))))) (/ 1 wj)))
(fma.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) #s(literal -1 binary64)) wj) #s(literal 1 binary64)) wj) wj wj)
(* wj (- (+ 1 (+ (* -1 (/ (+ 1 (/ x (exp wj))) (pow wj 3))) (+ (/ 1 (pow wj 2)) (/ x (* (pow wj 2) (exp wj)))))) (/ 1 wj)))
(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) #s(literal -1 binary64)) wj) (-.f64 (/.f64 #s(literal -1 binary64) wj) #s(literal -1 binary64)) #s(literal -1 binary64)) wj) wj wj)
(* wj (exp wj))
(*.f64 (exp.f64 wj) wj)
(* wj (+ (exp wj) (* -1 (/ x wj))))
(fma.f64 (exp.f64 wj) wj (neg.f64 x))
(* wj (+ (exp wj) (* -1 (/ x wj))))
(fma.f64 (exp.f64 wj) wj (neg.f64 x))
(* wj (+ (exp wj) (* -1 (/ x wj))))
(fma.f64 (exp.f64 wj) wj (neg.f64 x))
(* wj (exp wj))
(*.f64 (exp.f64 wj) wj)
(* wj (exp wj))
(*.f64 (exp.f64 wj) wj)
(* wj (exp wj))
(*.f64 (exp.f64 wj) wj)
(* wj (exp wj))
(*.f64 (exp.f64 wj) wj)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (+ 1 (/ x (exp wj))) wj)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) #s(literal -1 binary64)) wj))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (/ x (exp wj))) wj)) (/ x (exp wj)))) wj)))
(neg.f64 (fma.f64 (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) #s(literal -1 binary64)) wj) (-.f64 (/.f64 #s(literal -1 binary64) wj) #s(literal -1 binary64)) #s(literal -1 binary64)))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 (/ (- (* -1 (/ (+ 1 (/ x (exp wj))) wj)) (* -1 (+ 1 (/ x (exp wj))))) wj)) (/ x (exp wj)))) wj)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) (fma.f64 (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) #s(literal -1 binary64)) wj) (-.f64 (/.f64 #s(literal -1 binary64) wj) #s(literal -1 binary64)) #s(literal -1 binary64))) wj))
(* wj (exp wj))
(*.f64 (exp.f64 wj) wj)
(* -1 (* wj (+ (* -1 (exp wj)) (* -1 (/ (exp wj) wj)))))
(fma.f64 (exp.f64 wj) wj (exp.f64 wj))
(* -1 (* wj (+ (* -1 (exp wj)) (* -1 (/ (exp wj) wj)))))
(fma.f64 (exp.f64 wj) wj (exp.f64 wj))
(* -1 (* wj (+ (* -1 (exp wj)) (* -1 (/ (exp wj) wj)))))
(fma.f64 (exp.f64 wj) wj (exp.f64 wj))
wj
(* -1 (* wj (- (/ 1 wj) 1)))
(+.f64 wj #s(literal -1 binary64))
(* -1 (* wj (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ x (exp wj))) 1) wj)) 1) wj)) 1)))
(fma.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) #s(literal -1 binary64)) wj) #s(literal 1 binary64)) wj) wj wj)
(* -1 (* wj (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ x (exp wj))) (+ (/ 1 wj) (/ x (* wj (exp wj))))) 1) wj)) 1) wj)) 1)))
(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) #s(literal -1 binary64)) wj) (-.f64 (/.f64 #s(literal -1 binary64) wj) #s(literal -1 binary64)) #s(literal -1 binary64)) wj) wj wj)
(* wj (exp wj))
(*.f64 (exp.f64 wj) wj)
(* -1 (* wj (+ (* -1 (exp wj)) (/ x wj))))
(fma.f64 (exp.f64 wj) wj (neg.f64 x))
(* -1 (* wj (+ (* -1 (exp wj)) (/ x wj))))
(fma.f64 (exp.f64 wj) wj (neg.f64 x))
(* -1 (* wj (+ (* -1 (exp wj)) (/ x wj))))
(fma.f64 (exp.f64 wj) wj (neg.f64 x))
(* wj (exp wj))
(*.f64 (exp.f64 wj) wj)
(* wj (exp wj))
(*.f64 (exp.f64 wj) wj)
(* wj (exp wj))
(*.f64 (exp.f64 wj) wj)
(* wj (exp wj))
(*.f64 (exp.f64 wj) wj)
(/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))
(/.f64 wj (+.f64 #s(literal 1 binary64) wj))
(+ (* -1 (/ x (+ (exp wj) (* wj (exp wj))))) (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))
(-.f64 (/.f64 wj (+.f64 #s(literal 1 binary64) wj)) (/.f64 x (fma.f64 (exp.f64 wj) wj (exp.f64 wj))))
(+ (* -1 (/ x (+ (exp wj) (* wj (exp wj))))) (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))
(-.f64 (/.f64 wj (+.f64 #s(literal 1 binary64) wj)) (/.f64 x (fma.f64 (exp.f64 wj) wj (exp.f64 wj))))
(+ (* -1 (/ x (+ (exp wj) (* wj (exp wj))))) (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))
(-.f64 (/.f64 wj (+.f64 #s(literal 1 binary64) wj)) (/.f64 x (fma.f64 (exp.f64 wj) wj (exp.f64 wj))))
(- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))
(-.f64 wj (/.f64 wj (+.f64 #s(literal 1 binary64) wj)))
(- (+ wj (/ x (+ (exp wj) (* wj (exp wj))))) (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))
(-.f64 (+.f64 (/.f64 x (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) wj) (/.f64 wj (+.f64 #s(literal 1 binary64) wj)))
(- (+ wj (/ x (+ (exp wj) (* wj (exp wj))))) (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))
(-.f64 (+.f64 (/.f64 x (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) wj) (/.f64 wj (+.f64 #s(literal 1 binary64) wj)))
(- (+ wj (/ x (+ (exp wj) (* wj (exp wj))))) (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))
(-.f64 (+.f64 (/.f64 x (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) wj) (/.f64 wj (+.f64 #s(literal 1 binary64) wj)))
(* wj (exp wj))
(*.f64 (exp.f64 wj) wj)
(+ (* -1 x) (* wj (exp wj)))
(fma.f64 (exp.f64 wj) wj (neg.f64 x))
(+ (* -1 x) (* wj (exp wj)))
(fma.f64 (exp.f64 wj) wj (neg.f64 x))
(+ (* -1 x) (* wj (exp wj)))
(fma.f64 (exp.f64 wj) wj (neg.f64 x))
(* -1 (/ x (+ (exp wj) (* wj (exp wj)))))
(/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) wj)) (neg.f64 (exp.f64 wj)))
(* x (- (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj))))) (/ 1 (+ (exp wj) (* wj (exp wj))))))
(*.f64 (-.f64 (/.f64 (/.f64 wj (+.f64 #s(literal 1 binary64) wj)) x) (/.f64 (exp.f64 (neg.f64 wj)) (+.f64 #s(literal 1 binary64) wj))) x)
(* x (- (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj))))) (/ 1 (+ (exp wj) (* wj (exp wj))))))
(*.f64 (-.f64 (/.f64 (/.f64 wj (+.f64 #s(literal 1 binary64) wj)) x) (/.f64 (exp.f64 (neg.f64 wj)) (+.f64 #s(literal 1 binary64) wj))) x)
(* x (- (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj))))) (/ 1 (+ (exp wj) (* wj (exp wj))))))
(*.f64 (-.f64 (/.f64 (/.f64 wj (+.f64 #s(literal 1 binary64) wj)) x) (/.f64 (exp.f64 (neg.f64 wj)) (+.f64 #s(literal 1 binary64) wj))) x)
(/ x (+ (exp wj) (* wj (exp wj))))
(/.f64 x (fma.f64 (exp.f64 wj) wj (exp.f64 wj)))
(* x (- (+ (/ 1 (+ (exp wj) (* wj (exp wj)))) (/ wj x)) (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))))
(*.f64 (+.f64 (/.f64 (-.f64 wj (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) x) (/.f64 (exp.f64 (neg.f64 wj)) (+.f64 #s(literal 1 binary64) wj))) x)
(* x (- (+ (/ 1 (+ (exp wj) (* wj (exp wj)))) (/ wj x)) (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))))
(*.f64 (+.f64 (/.f64 (-.f64 wj (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) x) (/.f64 (exp.f64 (neg.f64 wj)) (+.f64 #s(literal 1 binary64) wj))) x)
(* x (- (+ (/ 1 (+ (exp wj) (* wj (exp wj)))) (/ wj x)) (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))))
(*.f64 (+.f64 (/.f64 (-.f64 wj (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) x) (/.f64 (exp.f64 (neg.f64 wj)) (+.f64 #s(literal 1 binary64) wj))) x)
(* -1 x)
(neg.f64 x)
(* x (- (/ (* wj (exp wj)) x) 1))
(*.f64 (fma.f64 (/.f64 wj x) (exp.f64 wj) #s(literal -1 binary64)) x)
(* x (- (/ (* wj (exp wj)) x) 1))
(*.f64 (fma.f64 (/.f64 wj x) (exp.f64 wj) #s(literal -1 binary64)) x)
(* x (- (/ (* wj (exp wj)) x) 1))
(*.f64 (fma.f64 (/.f64 wj x) (exp.f64 wj) #s(literal -1 binary64)) x)
(* -1 (/ x (+ (exp wj) (* wj (exp wj)))))
(/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) wj)) (neg.f64 (exp.f64 wj)))
(* -1 (* x (+ (* -1 (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(*.f64 (-.f64 (/.f64 (/.f64 wj (+.f64 #s(literal 1 binary64) wj)) x) (/.f64 (exp.f64 (neg.f64 wj)) (+.f64 #s(literal 1 binary64) wj))) x)
(* -1 (* x (+ (* -1 (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(*.f64 (-.f64 (/.f64 (/.f64 wj (+.f64 #s(literal 1 binary64) wj)) x) (/.f64 (exp.f64 (neg.f64 wj)) (+.f64 #s(literal 1 binary64) wj))) x)
(* -1 (* x (+ (* -1 (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(*.f64 (-.f64 (/.f64 (/.f64 wj (+.f64 #s(literal 1 binary64) wj)) x) (/.f64 (exp.f64 (neg.f64 wj)) (+.f64 #s(literal 1 binary64) wj))) x)
(/ x (+ (exp wj) (* wj (exp wj))))
(/.f64 x (fma.f64 (exp.f64 wj) wj (exp.f64 wj)))
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(*.f64 (+.f64 (/.f64 (-.f64 wj (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) x) (/.f64 (exp.f64 (neg.f64 wj)) (+.f64 #s(literal 1 binary64) wj))) x)
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(*.f64 (+.f64 (/.f64 (-.f64 wj (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) x) (/.f64 (exp.f64 (neg.f64 wj)) (+.f64 #s(literal 1 binary64) wj))) x)
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(*.f64 (+.f64 (/.f64 (-.f64 wj (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) x) (/.f64 (exp.f64 (neg.f64 wj)) (+.f64 #s(literal 1 binary64) wj))) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (* wj (exp wj)) x)))))
(*.f64 (fma.f64 (/.f64 wj x) (exp.f64 wj) #s(literal -1 binary64)) x)
(* -1 (* x (+ 1 (* -1 (/ (* wj (exp wj)) x)))))
(*.f64 (fma.f64 (/.f64 wj x) (exp.f64 wj) #s(literal -1 binary64)) x)
(* -1 (* x (+ 1 (* -1 (/ (* wj (exp wj)) x)))))
(*.f64 (fma.f64 (/.f64 wj x) (exp.f64 wj) #s(literal -1 binary64)) x)

rewrite197.0ms (2.1%)

Memory

-20.8MiB live, 295.6MiB allocated

Rules

8 180×	`lower-fma.f64`
8 180×	`lower-fma.f32`
5 914×	`lower-*.f32`
5 912×	`lower-*.f64`
4 762×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	47
0	14	44
1	68	44
2	629	44
0	8735	44

Stop Event

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

Counts

5 → 567

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (.f64 wj (exp.f64 wj))))
(+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj)))
(-.f64 wj (/.f64 (-.f64 (.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (.f64 wj (exp.f64 wj)))))
(-.f64 (*.f64 wj (exp.f64 wj)) x)
(*.f64 wj (exp.f64 wj))

Outputs
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eval126.0ms (1.4%)

Memory: 20.1MiB live, 175.7MiB allocated
Compiler: Compiled 22 317 to 2 065 computations (90.7% saved)

prune17.0ms (0.2%)

Memory

17.7MiB live, 55.8MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	664	8	672
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	665	8	673

Accuracy

99.9%

Counts

673 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	70.8%	(-.f64 wj (/.f64 (-.f64 (.f64 wj (exp.f64 wj)) x) #s(approx (+ (exp wj) ( wj (exp wj))) (fma.f64 #s(literal 2 binary64) wj #s(literal 1 binary64)))))
▶	71.5%	(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) wj)) (neg.f64 (exp.f64 wj)))))
	6.4%	(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))))
	68.6%	(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x)))
▶	4.0%	(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64)))
▶	95.3%	#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (.f64 #s(literal -2 binary64) x)) wj x))
▶	95.4%	#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x)) wj x))
▶	81.8%	#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (*.f64 wj x) #s(literal -2 binary64) x))

Compiler

Compiled 172 to 140 computations (18.6% saved)

simplify188.0ms (2%)

Memory

-21.5MiB live, 288.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 x (+.f64 #s(literal 1 binary64) wj))
cost-diff	0	#s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) wj)) (neg.f64 (exp.f64 wj))))
cost-diff	0	(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) wj)) (neg.f64 (exp.f64 wj)))))
cost-diff	128	(/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) wj)) (neg.f64 (exp.f64 wj)))
cost-diff	0	#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (.f64 #s(literal -2 binary64) x)) wj x))
cost-diff	128	(-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))
cost-diff	192	(fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj)))
cost-diff	384	(fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))
cost-diff	0	(*.f64 wj x)
cost-diff	0	(fma.f64 (*.f64 wj x) #s(literal -2 binary64) x)
cost-diff	0	#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (*.f64 wj x) #s(literal -2 binary64) x))
cost-diff	0	#s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64))
cost-diff	0	(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64)))
cost-diff	0	(fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x)) wj x)
cost-diff	0	#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x)) wj x))
cost-diff	320	(fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x))

Rules

16 460×	`lower-fma.f32`
16 442×	`lower-fma.f64`
3 618×	`lower-+.f32`
3 616×	`lower-+.f64`
2 888×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	343
0	67	336
1	122	322
2	268	322
3	852	297
4	2562	294
5	7865	294
0	8145	276

Stop Event

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

Calls

Call 1

Inputs
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x)) wj x))
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x)) wj x)
(fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x))
(fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64))
#s(literal 5/2 binary64)
x
#s(literal 1 binary64)
wj
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64)))
wj
#s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (*.f64 wj x) #s(literal -2 binary64) x))
(fma.f64 (*.f64 wj x) #s(literal -2 binary64) x)
(*.f64 wj x)
wj
x
#s(literal -2 binary64)
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (.f64 #s(literal -2 binary64) x)) wj x))
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (.f64 #s(literal -2 binary64) x)) wj x)
(fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (.f64 #s(literal -2 binary64) x))
(fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj)))
#s(literal 5/2 binary64)
x
(-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))
#s(literal 1 binary64)
(*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj)
(fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))
#s(literal 2/3 binary64)
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
#s(literal 2 binary64)
wj
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) wj)) (neg.f64 (exp.f64 wj)))))
wj
#s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) wj)) (neg.f64 (exp.f64 wj))))
(/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) wj)) (neg.f64 (exp.f64 wj)))
(/.f64 x (+.f64 #s(literal 1 binary64) wj))
x
(+.f64 #s(literal 1 binary64) wj)
#s(literal 1 binary64)
(neg.f64 (exp.f64 wj))
(exp.f64 wj)

Outputs
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x)) wj x))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x wj) wj x))
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x)) wj x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x wj) wj x)
(fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x))
(fma.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x wj)
(fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64))
#s(literal 5/2 binary64)
x
#s(literal 1 binary64)
wj
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64)))
wj
#s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (*.f64 wj x) #s(literal -2 binary64) x))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (*.f64 x wj) #s(literal -2 binary64) x))
(fma.f64 (*.f64 wj x) #s(literal -2 binary64) x)
(fma.f64 (*.f64 x wj) #s(literal -2 binary64) x)
(*.f64 wj x)
(*.f64 x wj)
wj
x
#s(literal -2 binary64)
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (.f64 #s(literal -2 binary64) x)) wj x))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 x (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) wj x))
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (.f64 #s(literal -2 binary64) x)) wj x)
(fma.f64 (fma.f64 (fma.f64 x (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) wj x)
(fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (.f64 #s(literal -2 binary64) x))
(fma.f64 (fma.f64 x (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x))
(fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj)))
(fma.f64 x (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) (-.f64 #s(literal 1 binary64) wj))
#s(literal 5/2 binary64)
x
(-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))
(fma.f64 (fma.f64 #s(literal -8/3 binary64) x #s(literal -1 binary64)) wj #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj)
(*.f64 (fma.f64 #s(literal 8/3 binary64) x #s(literal 1 binary64)) wj)
(fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))
(fma.f64 #s(literal 8/3 binary64) x #s(literal 1 binary64))
#s(literal 2/3 binary64)
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
#s(literal 2 binary64)
wj
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) wj)) (neg.f64 (exp.f64 wj)))))
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 (/.f64 x (exp.f64 wj)) (-.f64 #s(literal -1 binary64) wj))))
wj
#s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) wj)) (neg.f64 (exp.f64 wj))))
#s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 (/.f64 x (exp.f64 wj)) (-.f64 #s(literal -1 binary64) wj)))
(/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) wj)) (neg.f64 (exp.f64 wj)))
(/.f64 (/.f64 x (exp.f64 wj)) (-.f64 #s(literal -1 binary64) wj))
(/.f64 x (+.f64 #s(literal 1 binary64) wj))
x
(+.f64 #s(literal 1 binary64) wj)
#s(literal 1 binary64)
(neg.f64 (exp.f64 wj))
(exp.f64 wj)

localize144.0ms (1.6%)

Memory

-3.4MiB live, 200.9MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(/.f64 x (+.f64 #s(literal 1 binary64) wj))
accuracy	0.01171875	(/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) wj)) (neg.f64 (exp.f64 wj)))
accuracy	15.791486549021545	(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) wj)) (neg.f64 (exp.f64 wj)))))
accuracy	18.715184090876534	#s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) wj)) (neg.f64 (exp.f64 wj))))
accuracy	0.0078125	(fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))
accuracy	0.01953125	(fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (.f64 #s(literal -2 binary64) x)) wj x)
accuracy	0.12109375	(*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj)
accuracy	3.017313738746143	#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (.f64 #s(literal -2 binary64) x)) wj x))
accuracy	0	(*.f64 wj x)
accuracy	0.015625	(fma.f64 (*.f64 wj x) #s(literal -2 binary64) x)
accuracy	11.646688346486712	#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (*.f64 wj x) #s(literal -2 binary64) x))
accuracy	15.791486549021545	(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64)))
accuracy	61.45737985853049	#s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64))
accuracy	0	(*.f64 #s(literal -2 binary64) x)
accuracy	0.00390625	(fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x)) wj x)
accuracy	0.01171875	(fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x))
accuracy	2.959600051919722	#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x)) wj x))

Samples

50.0ms	74×	1	valid
45.0ms	175×	0	valid
9.0ms	7×	2	valid

Compiler

Compiled 304 to 40 computations (86.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 80.0ms

ival-mult: 33.0ms (41.1% of total)

ival-add: 15.0ms (18.7% of total)

adjust: 10.0ms (12.4% of total)

ival-exp: 6.0ms (7.5% of total)

ival-div: 5.0ms (6.2% of total)

ival-sub: 5.0ms (6.2% of total)

const: 4.0ms (5% of total)

exact: 1.0ms (1.2% of total)

ival-neg: 1.0ms (1.2% of total)

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

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

series50.0ms (0.5%)

Memory

30.1MiB live, 64.7MiB allocated

Counts

20 → 444

Calls

Call 1

Inputs
#s(alt (fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) wj (.f64 #s(literal -2 binary64) x)) (patch (fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) wj (.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())
#s(alt #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) wj (.f64 #s(literal -2 binary64) x)) wj x)) (patch #s(approx (- wj (/ (- ( wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x)) wj x)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) wj (.f64 #s(literal -2 binary64) x)) wj x) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) wj (.f64 #s(literal -2 binary64) x)) wj x) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64))) (patch (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64)) (patch #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (.f64 wj x) #s(literal -2 binary64) x)) (patch #s(approx (- wj (/ (- ( wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (*.f64 wj x) #s(literal -2 binary64) x)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 wj x) #s(literal -2 binary64) x) (patch (fma.f64 (.f64 wj x) #s(literal -2 binary64) x) #<representation binary64>) () ())
#s(alt (.f64 wj x) (patch (.f64 wj x) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) (patch (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) (patch (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj)) (patch (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj)) #<representation binary64>) () ())
#s(alt #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (.f64 #s(literal -2 binary64) x)) wj x)) (patch #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (.f64 #s(literal -2 binary64) x)) wj x)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) wj)) (neg.f64 (exp.f64 wj))) (patch (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) wj)) (neg.f64 (exp.f64 wj))) #<representation binary64>) () ())
#s(alt (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) wj)) (neg.f64 (exp.f64 wj))))) (patch (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) wj)) (neg.f64 (exp.f64 wj))))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) wj)) (neg.f64 (exp.f64 wj)))) (patch #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) wj)) (neg.f64 (exp.f64 wj)))) #<representation binary64>) () ())
#s(alt (/.f64 x (+.f64 #s(literal 1 binary64) wj)) (patch (/.f64 x (+.f64 #s(literal 1 binary64) wj)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -2 binary64) x) (patch (.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj) (patch (.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (.f64 #s(literal -2 binary64) x)) wj x) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (.f64 #s(literal -2 binary64) x)) wj x) #<representation binary64>) () ())

Outputs
#s(alt (* -2 x) (taylor 0 wj) (#s(alt (fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) wj (.f64 #s(literal -2 binary64) x)) (patch (fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) wj (.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 x) (* wj (+ 1 (* 5/2 x)))) (taylor 0 wj) (#s(alt (fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) wj (.f64 #s(literal -2 binary64) x)) (patch (fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) wj (.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 x) (* wj (+ 1 (* 5/2 x)))) (taylor 0 wj) (#s(alt (fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) wj (.f64 #s(literal -2 binary64) x)) (patch (fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) wj (.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 x) (* wj (+ 1 (* 5/2 x)))) (taylor 0 wj) (#s(alt (fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) wj (.f64 #s(literal -2 binary64) x)) (patch (fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) wj (.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 wj) (#s(alt #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) wj (.f64 #s(literal -2 binary64) x)) wj x)) (patch #s(approx (- wj (/ (- ( wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x)) wj x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -2 (* wj x))) (taylor 0 wj) (#s(alt #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) wj (.f64 #s(literal -2 binary64) x)) wj x)) (patch #s(approx (- wj (/ (- ( wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x)) wj x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* wj (- (* wj (- 1 (+ (* -4 x) (* 3/2 x)))) (* 2 x)))) (taylor 0 wj) (#s(alt #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) wj (.f64 #s(literal -2 binary64) x)) wj x)) (patch #s(approx (- wj (/ (- ( wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x)) wj x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* wj (- (* wj (- (+ 1 (* -1 (* wj (+ 1 (+ (* -3 x) (+ (* -2 (+ (* -4 x) (* 3/2 x))) (* 2/3 x))))))) (+ (* -4 x) (* 3/2 x)))) (* 2 x)))) (taylor 0 wj) (#s(alt #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) wj (.f64 #s(literal -2 binary64) x)) wj x)) (patch #s(approx (- wj (/ (- ( wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x)) wj x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 wj) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) wj (.f64 #s(literal -2 binary64) x)) wj x) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) wj (.f64 #s(literal -2 binary64) x)) wj x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -2 (* wj x))) (taylor 0 wj) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) wj (.f64 #s(literal -2 binary64) x)) wj x) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) wj (.f64 #s(literal -2 binary64) x)) wj x) #<representation binary64>) () ())) ())
#s(alt (+ x (* wj (+ (* -2 x) (* wj (+ 1 (* 5/2 x)))))) (taylor 0 wj) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) wj (.f64 #s(literal -2 binary64) x)) wj x) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) wj (.f64 #s(literal -2 binary64) x)) wj x) #<representation binary64>) () ())) ())
#s(alt (+ x (* wj (+ (* -2 x) (* wj (+ 1 (* 5/2 x)))))) (taylor 0 wj) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) wj (.f64 #s(literal -2 binary64) x)) wj x) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) wj (.f64 #s(literal -2 binary64) x)) wj x) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 wj) (#s(alt (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64))) (patch (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -2 (* wj x))) (taylor 0 wj) (#s(alt (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64))) (patch (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* wj (- (* wj (- 1 (+ (* -4 x) (* 3/2 x)))) (* 2 x)))) (taylor 0 wj) (#s(alt (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64))) (patch (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* wj (- (* wj (- (+ 1 (* -1 (* wj (+ 1 (+ (* -3 x) (+ (* -2 (+ (* -4 x) (* 3/2 x))) (* 2/3 x))))))) (+ (* -4 x) (* 3/2 x)))) (* 2 x)))) (taylor 0 wj) (#s(alt (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64))) (patch (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 wj) (#s(alt #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64)) (patch #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 x) (* wj (- 1 (* -2 x)))) (taylor 0 wj) (#s(alt #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64)) (patch #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 x) (* wj (- (+ 1 (* wj (- 1 (+ (* -3/2 x) (* 2 (- 1 (* -2 x))))))) (* -2 x)))) (taylor 0 wj) (#s(alt #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64)) (patch #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 x) (* wj (- (+ 1 (* wj (- (+ 1 (* wj (- 1/2 (+ (* -2/3 x) (+ (* 3/2 (- 1 (* -2 x))) (* 2 (- 1 (+ (* -3/2 x) (* 2 (- 1 (* -2 x))))))))))) (+ (* -3/2 x) (* 2 (- 1 (* -2 x))))))) (* -2 x)))) (taylor 0 wj) (#s(alt #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64)) (patch #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 wj) (#s(alt #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (.f64 wj x) #s(literal -2 binary64) x)) (patch #s(approx (- wj (/ (- ( wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (*.f64 wj x) #s(literal -2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -2 (* wj x))) (taylor 0 wj) (#s(alt #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (.f64 wj x) #s(literal -2 binary64) x)) (patch #s(approx (- wj (/ (- ( wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (*.f64 wj x) #s(literal -2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* wj (- (* wj (- 1 (+ (* -4 x) (* 3/2 x)))) (* 2 x)))) (taylor 0 wj) (#s(alt #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (.f64 wj x) #s(literal -2 binary64) x)) (patch #s(approx (- wj (/ (- ( wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (*.f64 wj x) #s(literal -2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* wj (- (* wj (- (+ 1 (* -1 (* wj (+ 1 (+ (* -3 x) (+ (* -2 (+ (* -4 x) (* 3/2 x))) (* 2/3 x))))))) (+ (* -4 x) (* 3/2 x)))) (* 2 x)))) (taylor 0 wj) (#s(alt #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (.f64 wj x) #s(literal -2 binary64) x)) (patch #s(approx (- wj (/ (- ( wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (*.f64 wj x) #s(literal -2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 wj) (#s(alt (fma.f64 (.f64 wj x) #s(literal -2 binary64) x) (patch (fma.f64 (.f64 wj x) #s(literal -2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -2 (* wj x))) (taylor 0 wj) (#s(alt (fma.f64 (.f64 wj x) #s(literal -2 binary64) x) (patch (fma.f64 (.f64 wj x) #s(literal -2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -2 (* wj x))) (taylor 0 wj) (#s(alt (fma.f64 (.f64 wj x) #s(literal -2 binary64) x) (patch (fma.f64 (.f64 wj x) #s(literal -2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -2 (* wj x))) (taylor 0 wj) (#s(alt (fma.f64 (.f64 wj x) #s(literal -2 binary64) x) (patch (fma.f64 (.f64 wj x) #s(literal -2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* wj x) (taylor 0 wj) (#s(alt (.f64 wj x) (patch (.f64 wj x) #<representation binary64>) () ())) ())
#s(alt (* wj x) (taylor 0 wj) (#s(alt (.f64 wj x) (patch (.f64 wj x) #<representation binary64>) () ())) ())
#s(alt (* wj x) (taylor 0 wj) (#s(alt (.f64 wj x) (patch (.f64 wj x) #<representation binary64>) () ())) ())
#s(alt (* wj x) (taylor 0 wj) (#s(alt (.f64 wj x) (patch (.f64 wj x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 5/2 x)) (taylor 0 wj) (#s(alt (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) (patch (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 (* wj (+ 1 (+ (* 2/3 x) (* 2 x))))) (* 5/2 x))) (taylor 0 wj) (#s(alt (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) (patch (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 (* wj (+ 1 (+ (* 2/3 x) (* 2 x))))) (* 5/2 x))) (taylor 0 wj) (#s(alt (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) (patch (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 (* wj (+ 1 (+ (* 2/3 x) (* 2 x))))) (* 5/2 x))) (taylor 0 wj) (#s(alt (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) (patch (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 wj) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj)) (patch (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* wj (+ 1 (+ (* 2/3 x) (* 2 x)))))) (taylor 0 wj) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj)) (patch (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* wj (+ 1 (+ (* 2/3 x) (* 2 x)))))) (taylor 0 wj) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj)) (patch (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* wj (+ 1 (+ (* 2/3 x) (* 2 x)))))) (taylor 0 wj) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj)) (patch (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj))))))) (taylor -inf x) (#s(alt #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (.f64 #s(literal -2 binary64) x)) wj x)) (patch #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (.f64 #s(literal -2 binary64) x)) wj x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x (* (exp wj) (+ 1 wj)))) (taylor -inf x) (#s(alt (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) wj)) (neg.f64 (exp.f64 wj))) (patch (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) wj)) (neg.f64 (exp.f64 wj))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x (* (exp wj) (+ 1 wj)))) (taylor -inf x) (#s(alt (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) wj)) (neg.f64 (exp.f64 wj))) (patch (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) wj)) (neg.f64 (exp.f64 wj))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x (* (exp wj) (+ 1 wj)))) (taylor -inf x) (#s(alt (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) wj)) (neg.f64 (exp.f64 wj))) (patch (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) wj)) (neg.f64 (exp.f64 wj))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x (* (exp wj) (+ 1 wj)))) (taylor -inf x) (#s(alt (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) wj)) (neg.f64 (exp.f64 wj))) (patch (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) wj)) (neg.f64 (exp.f64 wj))) #<representation binary64>) () ())) ())
#s(alt (/ x (+ (exp wj) (* wj (exp wj)))) (taylor -inf x) (#s(alt (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) wj)) (neg.f64 (exp.f64 wj))))) (patch (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) wj)) (neg.f64 (exp.f64 wj))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj))))))) (taylor -inf x) (#s(alt (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) wj)) (neg.f64 (exp.f64 wj))))) (patch (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) wj)) (neg.f64 (exp.f64 wj))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj))))))) (taylor -inf x) (#s(alt (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) wj)) (neg.f64 (exp.f64 wj))))) (patch (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) wj)) (neg.f64 (exp.f64 wj))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj))))))) (taylor -inf x) (#s(alt (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) wj)) (neg.f64 (exp.f64 wj))))) (patch (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) wj)) (neg.f64 (exp.f64 wj))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x (+ (exp wj) (* wj (exp wj))))) (taylor -inf x) (#s(alt #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) wj)) (neg.f64 (exp.f64 wj)))) (patch #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) wj)) (neg.f64 (exp.f64 wj)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))) (/ 1 (+ (exp wj) (* wj (exp wj))))))) (taylor -inf x) (#s(alt #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) wj)) (neg.f64 (exp.f64 wj)))) (patch #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) wj)) (neg.f64 (exp.f64 wj)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))) (/ 1 (+ (exp wj) (* wj (exp wj))))))) (taylor -inf x) (#s(alt #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) wj)) (neg.f64 (exp.f64 wj)))) (patch #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) wj)) (neg.f64 (exp.f64 wj)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))) (/ 1 (+ (exp wj) (* wj (exp wj))))))) (taylor -inf x) (#s(alt #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) wj)) (neg.f64 (exp.f64 wj)))) (patch #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) wj)) (neg.f64 (exp.f64 wj)))) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 wj)) (taylor -inf x) (#s(alt (/.f64 x (+.f64 #s(literal 1 binary64) wj)) (patch (/.f64 x (+.f64 #s(literal 1 binary64) wj)) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 wj)) (taylor -inf x) (#s(alt (/.f64 x (+.f64 #s(literal 1 binary64) wj)) (patch (/.f64 x (+.f64 #s(literal 1 binary64) wj)) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 wj)) (taylor -inf x) (#s(alt (/.f64 x (+.f64 #s(literal 1 binary64) wj)) (patch (/.f64 x (+.f64 #s(literal 1 binary64) wj)) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 wj)) (taylor -inf x) (#s(alt (/.f64 x (+.f64 #s(literal 1 binary64) wj)) (patch (/.f64 x (+.f64 #s(literal 1 binary64) wj)) #<representation binary64>) () ())) ())
#s(alt (* -2 x) (taylor -inf x) (#s(alt (.f64 #s(literal -2 binary64) x) (patch (.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -2 x) (taylor -inf x) (#s(alt (.f64 #s(literal -2 binary64) x) (patch (.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -2 x) (taylor -inf x) (#s(alt (.f64 #s(literal -2 binary64) x) (patch (.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -2 x) (taylor -inf x) (#s(alt (.f64 #s(literal -2 binary64) x) (patch (.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 8/3 (* wj x)) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj) (patch (.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -8/3 wj) (* -1 (/ wj x))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj) (patch (.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -8/3 wj) (* -1 (/ wj x))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj) (patch (.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -8/3 wj) (* -1 (/ wj x))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj) (patch (.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* wj (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj)))))) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (.f64 #s(literal -2 binary64) x)) wj x) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (.f64 #s(literal -2 binary64) x)) wj x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ (* (pow wj 2) (- 1 wj)) x)) (* wj (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))))) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (.f64 #s(literal -2 binary64) x)) wj x) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (.f64 #s(literal -2 binary64) x)) wj x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ (* (pow wj 2) (- 1 wj)) x)) (* wj (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))))) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (.f64 #s(literal -2 binary64) x)) wj x) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (.f64 #s(literal -2 binary64) x)) wj x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ (* (pow wj 2) (- 1 wj)) x)) (* wj (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))))) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (.f64 #s(literal -2 binary64) x)) wj x) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (.f64 #s(literal -2 binary64) x)) wj x) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
11.0ms	x	@	-inf	((+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (+ (* (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) wj) x) (+ (* 5/2 x) 1) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (+ (* (* wj x) -2) x) (* wj x) (+ (* 2/3 x) (+ (* 2 x) 1)) (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj)) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ (/ x (+ 1 wj)) (neg (exp wj))) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/ x (+ 1 wj)) (* -2 x) (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj) (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x))
6.0ms	x	@	0	((+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (+ (* (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) wj) x) (+ (* 5/2 x) 1) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (+ (* (* wj x) -2) x) (* wj x) (+ (* 2/3 x) (+ (* 2 x) 1)) (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj)) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ (/ x (+ 1 wj)) (neg (exp wj))) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/ x (+ 1 wj)) (* -2 x) (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj) (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x))
5.0ms	x	@	inf	((+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (+ (* (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) wj) x) (+ (* 5/2 x) 1) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (+ (* (* wj x) -2) x) (* wj x) (+ (* 2/3 x) (+ (* 2 x) 1)) (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj)) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ (/ x (+ 1 wj)) (neg (exp wj))) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/ x (+ 1 wj)) (* -2 x) (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj) (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x))
4.0ms	wj	@	0	((+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (+ (* (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) wj) x) (+ (* 5/2 x) 1) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (+ (* (* wj x) -2) x) (* wj x) (+ (* 2/3 x) (+ (* 2 x) 1)) (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj)) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ (/ x (+ 1 wj)) (neg (exp wj))) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/ x (+ 1 wj)) (* -2 x) (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj) (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x))
3.0ms	wj	@	inf	((+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (+ (* (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) wj) x) (+ (* 5/2 x) 1) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (+ (* (* wj x) -2) x) (* wj x) (+ (* 2/3 x) (+ (* 2 x) 1)) (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj)) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ (/ x (+ 1 wj)) (neg (exp wj))) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/ x (+ 1 wj)) (* -2 x) (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj) (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x))

simplify199.0ms (2.1%)

Memory

6.9MiB live, 233.1MiB allocated

Algorithm

1×	egg-herbie

Rules

13 414×	`lower-fma.f64`
13 414×	`lower-fma.f32`
5 334×	`lower-*.f64`
5 334×	`lower-*.f32`
3 442×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	441	5872
1	1414	5593
2	4622	5161
0	8144	4731

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 423

Calls

Call 1

Inputs
(* -2 x)
(+ (* -2 x) (* wj (+ 1 (* 5/2 x))))
(+ (* -2 x) (* wj (+ 1 (* 5/2 x))))
(+ (* -2 x) (* wj (+ 1 (* 5/2 x))))
x
(+ x (* -2 (* wj x)))
(+ x (* wj (- (* wj (- 1 (+ (* -4 x) (* 3/2 x)))) (* 2 x))))
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(* 8/3 x)
(* x (+ 8/3 (/ 1 x)))
(* x (+ 8/3 (/ 1 x)))
(* x (+ 8/3 (/ 1 x)))
(* x (- 5/2 (* 8/3 wj)))
(* x (- (+ 5/2 (/ 1 x)) (+ (* 8/3 wj) (/ wj x))))
(* x (- (+ 5/2 (/ 1 x)) (+ (* 8/3 wj) (/ wj x))))
(* x (- (+ 5/2 (/ 1 x)) (+ (* 8/3 wj) (/ wj x))))
(* -8/3 (* wj x))
(* x (- (/ 1 x) (+ (* 8/3 wj) (/ wj x))))
(* x (- (/ 1 x) (+ (* 8/3 wj) (/ wj x))))
(* x (- (/ 1 x) (+ (* 8/3 wj) (/ wj x))))
(/ x (+ (exp wj) (* wj (exp wj))))
(* x (- (+ (/ 1 (+ (exp wj) (* wj (exp wj)))) (/ wj x)) (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))))
(* x (- (+ (/ 1 (+ (exp wj) (* wj (exp wj)))) (/ wj x)) (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))))
(* x (- (+ (/ 1 (+ (exp wj) (* wj (exp wj)))) (/ wj x)) (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))))
(* -1 (/ x (* (exp wj) (+ 1 wj))))
(* -1 (/ x (* (exp wj) (+ 1 wj))))
(* -1 (/ x (* (exp wj) (+ 1 wj))))
(* -1 (/ x (* (exp wj) (+ 1 wj))))
(/ x (+ (exp wj) (* wj (exp wj))))
(* x (- (+ (/ 1 (+ (exp wj) (* wj (exp wj)))) (/ wj x)) (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))))
(* x (- (+ (/ 1 (+ (exp wj) (* wj (exp wj)))) (/ wj x)) (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))))
(* x (- (+ (/ 1 (+ (exp wj) (* wj (exp wj)))) (/ wj x)) (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))))
(* -1 (/ x (+ (exp wj) (* wj (exp wj)))))
(* x (- (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj))))) (/ 1 (+ (exp wj) (* wj (exp wj))))))
(* x (- (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj))))) (/ 1 (+ (exp wj) (* wj (exp wj))))))
(* x (- (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj))))) (/ 1 (+ (exp wj) (* wj (exp wj))))))
(/ x (+ 1 wj))
(/ x (+ 1 wj))
(/ x (+ 1 wj))
(/ x (+ 1 wj))
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* 8/3 (* wj x))
(* x (+ (* 8/3 wj) (/ wj x)))
(* x (+ (* 8/3 wj) (/ wj x)))
(* x (+ (* 8/3 wj) (/ wj x)))
(* x (+ 1 (* wj (- (* wj (- 5/2 (* 8/3 wj))) 2))))
(* x (+ 1 (+ (* wj (- (* wj (- 5/2 (* 8/3 wj))) 2)) (/ (* (pow wj 2) (- 1 wj)) x))))
(* x (+ 1 (+ (* wj (- (* wj (- 5/2 (* 8/3 wj))) 2)) (/ (* (pow wj 2) (- 1 wj)) x))))
(* x (+ 1 (+ (* wj (- (* wj (- 5/2 (* 8/3 wj))) 2)) (/ (* (pow wj 2) (- 1 wj)) x))))
(* -1 (* x (+ 2 (* -5/2 wj))))
(* -1 (* x (+ 2 (+ (* -5/2 wj) (* -1 (/ wj x))))))
(* -1 (* x (+ 2 (+ (* -5/2 wj) (* -1 (/ wj x))))))
(* -1 (* x (+ 2 (+ (* -5/2 wj) (* -1 (/ wj x))))))
(/ x (+ (exp wj) (* wj (exp wj))))
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(* -1 (* x (- (* wj (+ 2 (* -5/2 wj))) 1)))
(* -1 (* x (- (+ (* -1 (/ (pow wj 2) x)) (* wj (+ 2 (* -5/2 wj)))) 1)))
(* -1 (* x (- (+ (* -1 (/ (pow wj 2) x)) (* wj (+ 2 (* -5/2 wj)))) 1)))
(* -1 (* x (- (+ (* -1 (/ (pow wj 2) x)) (* wj (+ 2 (* -5/2 wj)))) 1)))
(* 5/2 x)
(* x (+ 5/2 (/ 1 x)))
(* x (+ 5/2 (/ 1 x)))
(* x (+ 5/2 (/ 1 x)))
(/ x (+ (exp wj) (* wj (exp wj))))
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(* -1 (/ x (+ (exp wj) (* wj (exp wj)))))
(* -1 (* x (+ (* -1 (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(* -1 (* x (+ (* -1 (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(* -1 (* x (+ (* -1 (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(/ x (+ (exp wj) (* wj (exp wj))))
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(* -1 (* x (- (* 2 wj) 1)))
(* -1 (* x (- (* 2 wj) 1)))
(* -1 (* x (- (* 2 wj) 1)))
(* -1 (* x (- (* 2 wj) 1)))
(* wj x)
(* wj x)
(* wj x)
(* wj x)
(* 8/3 x)
(* x (+ 8/3 (/ 1 x)))
(* x (+ 8/3 (/ 1 x)))
(* x (+ 8/3 (/ 1 x)))
(* x (+ 5/2 (* -8/3 wj)))
(* -1 (* x (- (* -1 (/ (- 1 wj) x)) (+ 5/2 (* -8/3 wj)))))
(* -1 (* x (- (* -1 (/ (- 1 wj) x)) (+ 5/2 (* -8/3 wj)))))
(* -1 (* x (- (* -1 (/ (- 1 wj) x)) (+ 5/2 (* -8/3 wj)))))
(* -8/3 (* wj x))
(* -1 (* x (- (* -1 (/ (- 1 wj) x)) (* -8/3 wj))))
(* -1 (* x (- (* -1 (/ (- 1 wj) x)) (* -8/3 wj))))
(* -1 (* x (- (* -1 (/ (- 1 wj) x)) (* -8/3 wj))))
(/ x (+ (exp wj) (* wj (exp wj))))
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(* -1 (/ x (* (exp wj) (+ 1 wj))))
(* -1 (/ x (* (exp wj) (+ 1 wj))))
(* -1 (/ x (* (exp wj) (+ 1 wj))))
(* -1 (/ x (* (exp wj) (+ 1 wj))))
(/ x (+ (exp wj) (* wj (exp wj))))
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(* -1 (/ x (+ (exp wj) (* wj (exp wj)))))
(* -1 (* x (+ (* -1 (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(* -1 (* x (+ (* -1 (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(* -1 (* x (+ (* -1 (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(/ x (+ 1 wj))
(/ x (+ 1 wj))
(/ x (+ 1 wj))
(/ x (+ 1 wj))
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* 8/3 (* wj x))
(* -1 (* x (+ (* -8/3 wj) (* -1 (/ wj x)))))
(* -1 (* x (+ (* -8/3 wj) (* -1 (/ wj x)))))
(* -1 (* x (+ (* -8/3 wj) (* -1 (/ wj x)))))
(* -1 (* x (- (* wj (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj)))))) 1)))
(* -1 (* x (- (+ (* -1 (/ (* (pow wj 2) (- 1 wj)) x)) (* wj (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))))) 1)))
(* -1 (* x (- (+ (* -1 (/ (* (pow wj 2) (- 1 wj)) x)) (* wj (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))))) 1)))
(* -1 (* x (- (+ (* -1 (/ (* (pow wj 2) (- 1 wj)) x)) (* wj (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))))) 1)))

Outputs
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(+ (* -2 x) (* wj (+ 1 (* 5/2 x))))
(fma.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x wj)
(+ (* -2 x) (* wj (+ 1 (* 5/2 x))))
(fma.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x wj)
(+ (* -2 x) (* wj (+ 1 (* 5/2 x))))
(fma.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x wj)
x
(+ x (* -2 (* wj x)))
(*.f64 (fma.f64 wj #s(literal -2 binary64) #s(literal 1 binary64)) x)
(+ x (* wj (- (* wj (- 1 (+ (* -4 x) (* 3/2 x)))) (* 2 x))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x wj) wj x)
(+ x (* wj (- (* wj (- (+ 1 (* -1 (* wj (+ 1 (+ (* -3 x) (+ (* -2 (+ (* -4 x) (* 3/2 x))) (* 2/3 x))))))) (+ (* -4 x) (* 3/2 x)))) (* 2 x))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -3 binary64) x (fma.f64 #s(literal 2/3 binary64) x (.f64 x #s(literal 5 binary64)))) wj wj))) wj (.f64 x #s(literal -2 binary64))) wj x)
x
(+ x (* -2 (* wj x)))
(*.f64 (fma.f64 wj #s(literal -2 binary64) #s(literal 1 binary64)) x)
(+ x (* wj (+ (* -2 x) (* wj (+ 1 (* 5/2 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x wj) wj x)
(+ x (* wj (+ (* -2 x) (* wj (+ 1 (* 5/2 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x wj) wj x)
x
(+ x (* -2 (* wj x)))
(*.f64 (fma.f64 wj #s(literal -2 binary64) #s(literal 1 binary64)) x)
(+ x (* wj (- (* wj (- 1 (+ (* -4 x) (* 3/2 x)))) (* 2 x))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x wj) wj x)
(+ x (* wj (- (* wj (- (+ 1 (* -1 (* wj (+ 1 (+ (* -3 x) (+ (* -2 (+ (* -4 x) (* 3/2 x))) (* 2/3 x))))))) (+ (* -4 x) (* 3/2 x)))) (* 2 x))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -3 binary64) x (fma.f64 #s(literal 2/3 binary64) x (.f64 x #s(literal 5 binary64)))) wj wj))) wj (.f64 x #s(literal -2 binary64))) wj x)
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (* wj (- 1 (* -2 x))))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) wj (neg.f64 x))
(+ (* -1 x) (* wj (- (+ 1 (* wj (- 1 (+ (* -3/2 x) (* 2 (- 1 (* -2 x))))))) (* -2 x))))
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3/2 binary64) x (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)))) wj (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj (neg.f64 x))
(+ (* -1 x) (* wj (- (+ 1 (* wj (- (+ 1 (* wj (- 1/2 (+ (* -2/3 x) (+ (* 3/2 (- 1 (* -2 x))) (* 2 (- 1 (+ (* -3/2 x) (* 2 (- 1 (* -2 x))))))))))) (+ (* -3/2 x) (* 2 (- 1 (* -2 x))))))) (* -2 x))))
(fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2/3 binary64) x (fma.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3/2 binary64) x (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 3/2 binary64))))) wj (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3/2 binary64) x (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64))))) wj (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj (neg.f64 x))
x
(+ x (* -2 (* wj x)))
(*.f64 (fma.f64 wj #s(literal -2 binary64) #s(literal 1 binary64)) x)
(+ x (* wj (- (* wj (- 1 (+ (* -4 x) (* 3/2 x)))) (* 2 x))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x wj) wj x)
(+ x (* wj (- (* wj (- (+ 1 (* -1 (* wj (+ 1 (+ (* -3 x) (+ (* -2 (+ (* -4 x) (* 3/2 x))) (* 2/3 x))))))) (+ (* -4 x) (* 3/2 x)))) (* 2 x))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -3 binary64) x (fma.f64 #s(literal 2/3 binary64) x (.f64 x #s(literal 5 binary64)))) wj wj))) wj (.f64 x #s(literal -2 binary64))) wj x)
x
(+ x (* -2 (* wj x)))
(*.f64 (fma.f64 wj #s(literal -2 binary64) #s(literal 1 binary64)) x)
(+ x (* -2 (* wj x)))
(*.f64 (fma.f64 wj #s(literal -2 binary64) #s(literal 1 binary64)) x)
(+ x (* -2 (* wj x)))
(*.f64 (fma.f64 wj #s(literal -2 binary64) #s(literal 1 binary64)) x)
(* wj x)
(*.f64 wj x)
(* wj x)
(*.f64 wj x)
(* wj x)
(*.f64 wj x)
(* wj x)
(*.f64 wj x)
(+ 1 (* 5/2 x))
(fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64))
(+ 1 (+ (* -1 (* wj (+ 1 (+ (* 2/3 x) (* 2 x))))) (* 5/2 x)))
(fma.f64 (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) x (-.f64 #s(literal 1 binary64) wj))
(+ 1 (+ (* -1 (* wj (+ 1 (+ (* 2/3 x) (* 2 x))))) (* 5/2 x)))
(fma.f64 (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) x (-.f64 #s(literal 1 binary64) wj))
(+ 1 (+ (* -1 (* wj (+ 1 (+ (* 2/3 x) (* 2 x))))) (* 5/2 x)))
(fma.f64 (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) x (-.f64 #s(literal 1 binary64) wj))
1
#s(literal 1 binary64)
(+ 1 (* -1 (* wj (+ 1 (+ (* 2/3 x) (* 2 x))))))
(fma.f64 (fma.f64 #s(literal -8/3 binary64) x #s(literal -1 binary64)) wj #s(literal 1 binary64))
(+ 1 (* -1 (* wj (+ 1 (+ (* 2/3 x) (* 2 x))))))
(fma.f64 (fma.f64 #s(literal -8/3 binary64) x #s(literal -1 binary64)) wj #s(literal 1 binary64))
(+ 1 (* -1 (* wj (+ 1 (+ (* 2/3 x) (* 2 x))))))
(fma.f64 (fma.f64 #s(literal -8/3 binary64) x #s(literal -1 binary64)) wj #s(literal 1 binary64))
x
(+ x (* -2 (* wj x)))
(*.f64 (fma.f64 wj #s(literal -2 binary64) #s(literal 1 binary64)) x)
(+ x (* wj (- (* wj (- 1 (+ (* -4 x) (* 3/2 x)))) (* 2 x))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x wj) wj x)
(+ x (* wj (- (* wj (- (+ 1 (* -1 (* wj (+ 1 (+ (* -3 x) (+ (* -2 (+ (* -4 x) (* 3/2 x))) (* 2/3 x))))))) (+ (* -4 x) (* 3/2 x)))) (* 2 x))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -3 binary64) x (fma.f64 #s(literal 2/3 binary64) x (.f64 x #s(literal 5 binary64)))) wj wj))) wj (.f64 x #s(literal -2 binary64))) wj x)
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (* 2 (* wj x)))
(*.f64 (fma.f64 #s(literal 2 binary64) wj #s(literal -1 binary64)) x)
(+ (* -1 x) (* wj (+ (* 2 x) (* wj (+ (* -4 x) (* 3/2 x))))))
(fma.f64 (*.f64 (fma.f64 #s(literal -5/2 binary64) wj #s(literal 2 binary64)) x) wj (neg.f64 x))
(+ (* -1 x) (* wj (+ (* 2 x) (* wj (+ (* -4 x) (+ (* 3/2 x) (* wj (+ (* -3 x) (+ (* -2 (+ (* -4 x) (* 3/2 x))) (* 2/3 x))))))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -5/2 binary64) x (.f64 (fma.f64 #s(literal -3 binary64) x (fma.f64 #s(literal 2/3 binary64) x (.f64 x #s(literal 5 binary64)))) wj)) wj (*.f64 #s(literal 2 binary64) x)) wj (neg.f64 x))
x
(+ x (* -2 (* wj x)))
(*.f64 (fma.f64 wj #s(literal -2 binary64) #s(literal 1 binary64)) x)
(+ x (* wj (- (* wj (- 1 (+ (* -4 x) (* 3/2 x)))) (* 2 x))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x wj) wj x)
(+ x (* wj (- (* wj (- (+ 1 (* -1 (* wj (+ 1 (+ (* -3 x) (+ (* -2 (+ (* -4 x) (* 3/2 x))) (* 2/3 x))))))) (+ (* -4 x) (* 3/2 x)))) (* 2 x))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -3 binary64) x (fma.f64 #s(literal 2/3 binary64) x (.f64 x #s(literal 5 binary64)))) wj wj))) wj (.f64 x #s(literal -2 binary64))) wj x)
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (* wj (- 1 (* -2 x))))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) wj (neg.f64 x))
(+ (* -1 x) (* wj (- (+ 1 (* wj (- 1 (+ (* -3/2 x) (* 2 (- 1 (* -2 x))))))) (* -2 x))))
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3/2 binary64) x (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)))) wj (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj (neg.f64 x))
(+ (* -1 x) (* wj (- (+ 1 (* wj (- (+ 1 (* wj (- 1/2 (+ (* -2/3 x) (+ (* 3/2 (- 1 (* -2 x))) (* 2 (- 1 (+ (* -3/2 x) (* 2 (- 1 (* -2 x))))))))))) (+ (* -3/2 x) (* 2 (- 1 (* -2 x))))))) (* -2 x))))
(fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2/3 binary64) x (fma.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3/2 binary64) x (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 3/2 binary64))))) wj (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3/2 binary64) x (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64))))) wj (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj (neg.f64 x))
x
(+ x (* -1 (* wj x)))
(fma.f64 (neg.f64 x) wj x)
(+ x (* wj (- (* wj x) x)))
(fma.f64 (fma.f64 wj x (neg.f64 x)) wj x)
(+ x (* wj (- (* wj (- (* -1 (* wj x)) (* -1 x))) x)))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 x) wj x) wj (neg.f64 x)) wj x)
(* wj (+ 1 (+ (* 2/3 x) (* 2 x))))
(*.f64 (fma.f64 #s(literal 8/3 binary64) x #s(literal 1 binary64)) wj)
(* wj (+ 1 (+ (* 2/3 x) (* 2 x))))
(*.f64 (fma.f64 #s(literal 8/3 binary64) x #s(literal 1 binary64)) wj)
(* wj (+ 1 (+ (* 2/3 x) (* 2 x))))
(*.f64 (fma.f64 #s(literal 8/3 binary64) x #s(literal 1 binary64)) wj)
(* wj (+ 1 (+ (* 2/3 x) (* 2 x))))
(*.f64 (fma.f64 #s(literal 8/3 binary64) x #s(literal 1 binary64)) wj)
x
(+ x (* -2 (* wj x)))
(*.f64 (fma.f64 wj #s(literal -2 binary64) #s(literal 1 binary64)) x)
(+ x (* wj (+ (* -2 x) (* wj (+ 1 (* 5/2 x))))))
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(*.f64 (+.f64 (/.f64 (fma.f64 (/.f64 wj (+.f64 #s(literal 1 binary64) wj)) #s(literal -1 binary64) wj) x) (/.f64 (exp.f64 (neg.f64 wj)) (+.f64 #s(literal 1 binary64) wj))) x)
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(*.f64 (+.f64 (/.f64 (fma.f64 (/.f64 wj (+.f64 #s(literal 1 binary64) wj)) #s(literal -1 binary64) wj) x) (/.f64 (exp.f64 (neg.f64 wj)) (+.f64 #s(literal 1 binary64) wj))) x)
(* -1 (/ x (+ (exp wj) (* wj (exp wj)))))
(/.f64 (/.f64 (neg.f64 x) (exp.f64 wj)) (+.f64 #s(literal 1 binary64) wj))
(* -1 (* x (+ (* -1 (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(neg.f64 (fma.f64 (*.f64 (/.f64 wj (+.f64 #s(literal 1 binary64) wj)) #s(literal -1 binary64)) #s(literal 1 binary64) (/.f64 x (fma.f64 (exp.f64 wj) wj (exp.f64 wj)))))
(* -1 (* x (+ (* -1 (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(neg.f64 (fma.f64 (*.f64 (/.f64 wj (+.f64 #s(literal 1 binary64) wj)) #s(literal -1 binary64)) #s(literal 1 binary64) (/.f64 x (fma.f64 (exp.f64 wj) wj (exp.f64 wj)))))
(* -1 (* x (+ (* -1 (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(neg.f64 (fma.f64 (*.f64 (/.f64 wj (+.f64 #s(literal 1 binary64) wj)) #s(literal -1 binary64)) #s(literal 1 binary64) (/.f64 x (fma.f64 (exp.f64 wj) wj (exp.f64 wj)))))
(/ x (+ (exp wj) (* wj (exp wj))))
(/.f64 x (fma.f64 (exp.f64 wj) wj (exp.f64 wj)))
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(*.f64 (+.f64 (/.f64 (fma.f64 (/.f64 wj (+.f64 #s(literal 1 binary64) wj)) #s(literal -1 binary64) wj) x) (/.f64 (exp.f64 (neg.f64 wj)) (+.f64 #s(literal 1 binary64) wj))) x)
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(*.f64 (+.f64 (/.f64 (fma.f64 (/.f64 wj (+.f64 #s(literal 1 binary64) wj)) #s(literal -1 binary64) wj) x) (/.f64 (exp.f64 (neg.f64 wj)) (+.f64 #s(literal 1 binary64) wj))) x)
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(*.f64 (+.f64 (/.f64 (fma.f64 (/.f64 wj (+.f64 #s(literal 1 binary64) wj)) #s(literal -1 binary64) wj) x) (/.f64 (exp.f64 (neg.f64 wj)) (+.f64 #s(literal 1 binary64) wj))) x)
(* -1 (* x (- (* 2 wj) 1)))
(*.f64 (fma.f64 wj #s(literal -2 binary64) #s(literal 1 binary64)) x)
(* -1 (* x (- (* 2 wj) 1)))
(*.f64 (fma.f64 wj #s(literal -2 binary64) #s(literal 1 binary64)) x)
(* -1 (* x (- (* 2 wj) 1)))
(*.f64 (fma.f64 wj #s(literal -2 binary64) #s(literal 1 binary64)) x)
(* -1 (* x (- (* 2 wj) 1)))
(*.f64 (fma.f64 wj #s(literal -2 binary64) #s(literal 1 binary64)) x)
(* wj x)
(*.f64 wj x)
(* wj x)
(*.f64 wj x)
(* wj x)
(*.f64 wj x)
(* wj x)
(*.f64 wj x)
(* 8/3 x)
(*.f64 #s(literal 8/3 binary64) x)
(* x (+ 8/3 (/ 1 x)))
(fma.f64 #s(literal 8/3 binary64) x #s(literal 1 binary64))
(* x (+ 8/3 (/ 1 x)))
(fma.f64 #s(literal 8/3 binary64) x #s(literal 1 binary64))
(* x (+ 8/3 (/ 1 x)))
(fma.f64 #s(literal 8/3 binary64) x #s(literal 1 binary64))
(* x (+ 5/2 (* -8/3 wj)))
(*.f64 (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) x)
(* -1 (* x (- (* -1 (/ (- 1 wj) x)) (+ 5/2 (* -8/3 wj)))))
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) wj) x) (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64))) x)
(* -1 (* x (- (* -1 (/ (- 1 wj) x)) (+ 5/2 (* -8/3 wj)))))
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) wj) x) (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64))) x)
(* -1 (* x (- (* -1 (/ (- 1 wj) x)) (+ 5/2 (* -8/3 wj)))))
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) wj) x) (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64))) x)
(* -8/3 (* wj x))
(.f64 #s(literal -8/3 binary64) (.f64 wj x))
(* -1 (* x (- (* -1 (/ (- 1 wj) x)) (* -8/3 wj))))
(.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) wj) x) (.f64 #s(literal 8/3 binary64) wj)) x)
(* -1 (* x (- (* -1 (/ (- 1 wj) x)) (* -8/3 wj))))
(.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) wj) x) (.f64 #s(literal 8/3 binary64) wj)) x)
(* -1 (* x (- (* -1 (/ (- 1 wj) x)) (* -8/3 wj))))
(.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) wj) x) (.f64 #s(literal 8/3 binary64) wj)) x)
(/ x (+ (exp wj) (* wj (exp wj))))
(/.f64 x (fma.f64 (exp.f64 wj) wj (exp.f64 wj)))
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(*.f64 (+.f64 (/.f64 (fma.f64 (/.f64 wj (+.f64 #s(literal 1 binary64) wj)) #s(literal -1 binary64) wj) x) (/.f64 (exp.f64 (neg.f64 wj)) (+.f64 #s(literal 1 binary64) wj))) x)
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(*.f64 (+.f64 (/.f64 (fma.f64 (/.f64 wj (+.f64 #s(literal 1 binary64) wj)) #s(literal -1 binary64) wj) x) (/.f64 (exp.f64 (neg.f64 wj)) (+.f64 #s(literal 1 binary64) wj))) x)
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(*.f64 (+.f64 (/.f64 (fma.f64 (/.f64 wj (+.f64 #s(literal 1 binary64) wj)) #s(literal -1 binary64) wj) x) (/.f64 (exp.f64 (neg.f64 wj)) (+.f64 #s(literal 1 binary64) wj))) x)
(* -1 (/ x (* (exp wj) (+ 1 wj))))
(/.f64 (/.f64 (neg.f64 x) (exp.f64 wj)) (+.f64 #s(literal 1 binary64) wj))
(* -1 (/ x (* (exp wj) (+ 1 wj))))
(/.f64 (/.f64 (neg.f64 x) (exp.f64 wj)) (+.f64 #s(literal 1 binary64) wj))
(* -1 (/ x (* (exp wj) (+ 1 wj))))
(/.f64 (/.f64 (neg.f64 x) (exp.f64 wj)) (+.f64 #s(literal 1 binary64) wj))
(* -1 (/ x (* (exp wj) (+ 1 wj))))
(/.f64 (/.f64 (neg.f64 x) (exp.f64 wj)) (+.f64 #s(literal 1 binary64) wj))
(/ x (+ (exp wj) (* wj (exp wj))))
(/.f64 x (fma.f64 (exp.f64 wj) wj (exp.f64 wj)))
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(*.f64 (+.f64 (/.f64 (fma.f64 (/.f64 wj (+.f64 #s(literal 1 binary64) wj)) #s(literal -1 binary64) wj) x) (/.f64 (exp.f64 (neg.f64 wj)) (+.f64 #s(literal 1 binary64) wj))) x)
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(*.f64 (+.f64 (/.f64 (fma.f64 (/.f64 wj (+.f64 #s(literal 1 binary64) wj)) #s(literal -1 binary64) wj) x) (/.f64 (exp.f64 (neg.f64 wj)) (+.f64 #s(literal 1 binary64) wj))) x)
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(*.f64 (+.f64 (/.f64 (fma.f64 (/.f64 wj (+.f64 #s(literal 1 binary64) wj)) #s(literal -1 binary64) wj) x) (/.f64 (exp.f64 (neg.f64 wj)) (+.f64 #s(literal 1 binary64) wj))) x)
(* -1 (/ x (+ (exp wj) (* wj (exp wj)))))
(/.f64 (/.f64 (neg.f64 x) (exp.f64 wj)) (+.f64 #s(literal 1 binary64) wj))
(* -1 (* x (+ (* -1 (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(neg.f64 (fma.f64 (*.f64 (/.f64 wj (+.f64 #s(literal 1 binary64) wj)) #s(literal -1 binary64)) #s(literal 1 binary64) (/.f64 x (fma.f64 (exp.f64 wj) wj (exp.f64 wj)))))
(* -1 (* x (+ (* -1 (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(neg.f64 (fma.f64 (*.f64 (/.f64 wj (+.f64 #s(literal 1 binary64) wj)) #s(literal -1 binary64)) #s(literal 1 binary64) (/.f64 x (fma.f64 (exp.f64 wj) wj (exp.f64 wj)))))
(* -1 (* x (+ (* -1 (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(neg.f64 (fma.f64 (*.f64 (/.f64 wj (+.f64 #s(literal 1 binary64) wj)) #s(literal -1 binary64)) #s(literal 1 binary64) (/.f64 x (fma.f64 (exp.f64 wj) wj (exp.f64 wj)))))
(/ x (+ 1 wj))
(/.f64 x (+.f64 #s(literal 1 binary64) wj))
(/ x (+ 1 wj))
(/.f64 x (+.f64 #s(literal 1 binary64) wj))
(/ x (+ 1 wj))
(/.f64 x (+.f64 #s(literal 1 binary64) wj))
(/ x (+ 1 wj))
(/.f64 x (+.f64 #s(literal 1 binary64) wj))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* 8/3 (* wj x))
(.f64 (.f64 #s(literal 8/3 binary64) wj) x)
(* -1 (* x (+ (* -8/3 wj) (* -1 (/ wj x)))))
(*.f64 (fma.f64 #s(literal 8/3 binary64) wj (/.f64 wj x)) x)
(* -1 (* x (+ (* -8/3 wj) (* -1 (/ wj x)))))
(*.f64 (fma.f64 #s(literal 8/3 binary64) wj (/.f64 wj x)) x)
(* -1 (* x (+ (* -8/3 wj) (* -1 (/ wj x)))))
(*.f64 (fma.f64 #s(literal 8/3 binary64) wj (/.f64 wj x)) x)
(* -1 (* x (- (* wj (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj)))))) 1)))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 8/3 binary64) wj #s(literal -5/2 binary64)) wj #s(literal 2 binary64)) wj #s(literal -1 binary64)) (neg.f64 x))
(* -1 (* x (- (+ (* -1 (/ (* (pow wj 2) (- 1 wj)) x)) (* wj (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))))) 1)))
(.f64 (fma.f64 (+.f64 wj #s(literal -1 binary64)) (.f64 wj (/.f64 wj x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 8/3 binary64) wj #s(literal -5/2 binary64)) wj #s(literal 2 binary64)) wj #s(literal -1 binary64))) (neg.f64 x))
(* -1 (* x (- (+ (* -1 (/ (* (pow wj 2) (- 1 wj)) x)) (* wj (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))))) 1)))
(.f64 (fma.f64 (+.f64 wj #s(literal -1 binary64)) (.f64 wj (/.f64 wj x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 8/3 binary64) wj #s(literal -5/2 binary64)) wj #s(literal 2 binary64)) wj #s(literal -1 binary64))) (neg.f64 x))
(* -1 (* x (- (+ (* -1 (/ (* (pow wj 2) (- 1 wj)) x)) (* wj (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))))) 1)))
(.f64 (fma.f64 (+.f64 wj #s(literal -1 binary64)) (.f64 wj (/.f64 wj x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 8/3 binary64) wj #s(literal -5/2 binary64)) wj #s(literal 2 binary64)) wj #s(literal -1 binary64))) (neg.f64 x))

rewrite281.0ms (3%)

Memory

-12.5MiB live, 242.0MiB allocated

Rules

4 554×	`lower-/.f32`
4 550×	`lower-/.f64`
4 092×	`lower-*.f32`
4 086×	`lower-*.f64`
3 850×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	289
0	67	282
1	311	270
2	2735	270
0	8533	264

Stop Event

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

Counts

20 → 451

Calls

Call 1

Inputs
(fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x)) wj x))
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x)) wj x)
(fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64))
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64)))
#s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (*.f64 wj x) #s(literal -2 binary64) x))
(fma.f64 (*.f64 wj x) #s(literal -2 binary64) x)
(*.f64 wj x)
(fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))
(fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj)))
(-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (.f64 #s(literal -2 binary64) x)) wj x))
(/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) wj)) (neg.f64 (exp.f64 wj)))
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) wj)) (neg.f64 (exp.f64 wj)))))
#s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) wj)) (neg.f64 (exp.f64 wj))))
(/.f64 x (+.f64 #s(literal 1 binary64) wj))
(*.f64 #s(literal -2 binary64) x)
(*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj)
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (.f64 #s(literal -2 binary64) x)) wj x)

Outputs
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eval168.0ms (1.8%)

Memory: 9.6MiB live, 318.5MiB allocated
Compiler: Compiled 22 181 to 2 759 computations (87.6% saved)

prune28.0ms (0.3%)

Memory

4.1MiB live, 82.3MiB allocated

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	881	7	888
Fresh	1	2	3
Picked	3	2	5
Done	0	0	0
Total	885	11	896

Accuracy

99.9%

Counts

896 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	71.5%	(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (*.f64 (neg.f64 (+.f64 wj #s(literal 1 binary64))) (exp.f64 wj)))))
	6.4%	(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))))
	68.6%	(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x)))
✓	4.0%	(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64)))
	89.2%	#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj) #s(literal 2 binary64))) (fma.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj #s(literal 1 binary64)))) wj (.f64 #s(literal -2 binary64) x)) wj x))
▶	95.3%	#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) 1) #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x)) wj x))
✓	81.8%	#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (*.f64 wj x) #s(literal -2 binary64) x))
▶	81.8%	#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 #s(approx (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) (*.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x)) wj x))
	15.9%	#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (.f64 (.f64 (-.f64 #s(literal 1 binary64) wj) wj) wj)))
▶	16.0%	#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) wj) x) (*.f64 wj wj)))
▶	4.2%	#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (* wj x) -2) x) (.f64 (.f64 wj #s(literal -2 binary64)) x)))

Compiler

Compiled 207 to 167 computations (19.3% saved)

simplify122.0ms (1.3%)

Memory

-11.1MiB live, 111.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (neg.f64 (+.f64 wj #s(literal 1 binary64))) (exp.f64 wj))
cost-diff	0	#s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (*.f64 (neg.f64 (+.f64 wj #s(literal 1 binary64))) (exp.f64 wj))))
cost-diff	0	(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (*.f64 (neg.f64 (+.f64 wj #s(literal 1 binary64))) (exp.f64 wj)))))
cost-diff	128	(neg.f64 (+.f64 wj #s(literal 1 binary64)))
cost-diff	0	(*.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x)
cost-diff	0	#s(approx (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) (*.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x))
cost-diff	0	(fma.f64 #s(approx (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) (*.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x)) wj x)
cost-diff	0	#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 #s(approx (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) (*.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x)) wj x))
cost-diff	0	(*.f64 wj #s(literal -2 binary64))
cost-diff	0	(.f64 (.f64 wj #s(literal -2 binary64)) x)
cost-diff	0	#s(approx (+ (* (* wj x) -2) x) (.f64 (.f64 wj #s(literal -2 binary64)) x))
cost-diff	0	#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (* wj x) -2) x) (.f64 (.f64 wj #s(literal -2 binary64)) x)))
cost-diff	0	(*.f64 wj wj)
cost-diff	0	#s(approx (+ (* (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) wj) x) (*.f64 wj wj))
cost-diff	0	#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) wj) x) (*.f64 wj wj)))
cost-diff	0	#s(approx (+ (* 5/2 x) 1) #s(literal 1 binary64))
cost-diff	0	(fma.f64 #s(approx (+ (* 5/2 x) 1) #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x))
cost-diff	0	(fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) 1) #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x)) wj x)
cost-diff	0	#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) 1) #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x)) wj x))

Rules

7 696×	`lower-fma.f32`
7 688×	`lower-fma.f64`
3 408×	`lower-*.f32`
3 396×	`lower-*.f64`
1 750×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	355
0	65	349
1	115	344
2	215	329
3	467	311
4	1061	311
5	3325	311
6	6219	311
0	8130	298

Stop Event

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

Calls

Call 1

Inputs
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) 1) #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x)) wj x))
(fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) 1) #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x)) wj x)
(fma.f64 #s(approx (+ (* 5/2 x) 1) #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x))
#s(approx (+ (* 5/2 x) 1) #s(literal 1 binary64))
#s(literal 1 binary64)
wj
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
x
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) wj) x) (*.f64 wj wj)))
#s(approx (+ (* (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) wj) x) (*.f64 wj wj))
(*.f64 wj wj)
wj
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (* wj x) -2) x) (.f64 (.f64 wj #s(literal -2 binary64)) x)))
#s(approx (+ (* (* wj x) -2) x) (.f64 (.f64 wj #s(literal -2 binary64)) x))
(.f64 (.f64 wj #s(literal -2 binary64)) x)
(*.f64 wj #s(literal -2 binary64))
wj
#s(literal -2 binary64)
x
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 #s(approx (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) (*.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x)) wj x))
(fma.f64 #s(approx (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) (*.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x)) wj x)
#s(approx (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) (*.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x))
(*.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x)
(fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64))
#s(literal 5/2 binary64)
wj
#s(literal -2 binary64)
x
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (*.f64 (neg.f64 (+.f64 wj #s(literal 1 binary64))) (exp.f64 wj)))))
wj
#s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (*.f64 (neg.f64 (+.f64 wj #s(literal 1 binary64))) (exp.f64 wj))))
(/.f64 x (*.f64 (neg.f64 (+.f64 wj #s(literal 1 binary64))) (exp.f64 wj)))
x
(*.f64 (neg.f64 (+.f64 wj #s(literal 1 binary64))) (exp.f64 wj))
(neg.f64 (+.f64 wj #s(literal 1 binary64)))
(+.f64 wj #s(literal 1 binary64))
#s(literal 1 binary64)
(exp.f64 wj)

Outputs
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) 1) #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x)) wj x))
(fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) 1) #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x)) wj x)
(fma.f64 #s(approx (+ (* 5/2 x) 1) #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x))
#s(approx (+ (* 5/2 x) 1) #s(literal 1 binary64))
#s(literal 1 binary64)
wj
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
x
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) wj) x) (*.f64 wj wj)))
#s(approx (+ (* (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) wj) x) (*.f64 wj wj))
(*.f64 wj wj)
wj
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (* wj x) -2) x) (.f64 (.f64 wj #s(literal -2 binary64)) x)))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (* wj x) -2) x) (.f64 (.f64 x wj) #s(literal -2 binary64))))
#s(approx (+ (* (* wj x) -2) x) (.f64 (.f64 wj #s(literal -2 binary64)) x))
#s(approx (+ (* (* wj x) -2) x) (.f64 (.f64 x wj) #s(literal -2 binary64)))
(.f64 (.f64 wj #s(literal -2 binary64)) x)
(.f64 (.f64 x wj) #s(literal -2 binary64))
(*.f64 wj #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) wj)
wj
#s(literal -2 binary64)
x
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 #s(approx (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) (*.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x)) wj x))
(fma.f64 #s(approx (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) (*.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x)) wj x)
#s(approx (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) (*.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x))
(*.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x)
(fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64))
#s(literal 5/2 binary64)
wj
#s(literal -2 binary64)
x
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (*.f64 (neg.f64 (+.f64 wj #s(literal 1 binary64))) (exp.f64 wj)))))
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 (/.f64 x (exp.f64 wj)) (-.f64 #s(literal -1 binary64) wj))))
wj
#s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (*.f64 (neg.f64 (+.f64 wj #s(literal 1 binary64))) (exp.f64 wj))))
#s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 (/.f64 x (exp.f64 wj)) (-.f64 #s(literal -1 binary64) wj)))
(/.f64 x (*.f64 (neg.f64 (+.f64 wj #s(literal 1 binary64))) (exp.f64 wj)))
(/.f64 (/.f64 x (exp.f64 wj)) (-.f64 #s(literal -1 binary64) wj))
x
(*.f64 (neg.f64 (+.f64 wj #s(literal 1 binary64))) (exp.f64 wj))
(*.f64 (exp.f64 wj) (-.f64 #s(literal -1 binary64) wj))
(neg.f64 (+.f64 wj #s(literal 1 binary64)))
(-.f64 #s(literal -1 binary64) wj)
(+.f64 wj #s(literal 1 binary64))
(-.f64 wj #s(literal -1 binary64))
#s(literal 1 binary64)
(exp.f64 wj)

localize114.0ms (1.2%)

Memory

4.7MiB live, 161.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(/.f64 x (*.f64 (neg.f64 (+.f64 wj #s(literal 1 binary64))) (exp.f64 wj)))
accuracy	0.0234375	(*.f64 (neg.f64 (+.f64 wj #s(literal 1 binary64))) (exp.f64 wj))
accuracy	15.791486549021545	(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (*.f64 (neg.f64 (+.f64 wj #s(literal 1 binary64))) (exp.f64 wj)))))
accuracy	18.715184090876534	#s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (*.f64 (neg.f64 (+.f64 wj #s(literal 1 binary64))) (exp.f64 wj))))
accuracy	0.00390625	(fma.f64 #s(approx (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) (*.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x)) wj x)
accuracy	0.02734375	(*.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x)
accuracy	2.959600051919722	#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 #s(approx (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) (*.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x)) wj x))
accuracy	18.821825886759438	#s(approx (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) (*.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x))
accuracy	0	(.f64 (.f64 wj #s(literal -2 binary64)) x)
accuracy	0	(*.f64 wj #s(literal -2 binary64))
accuracy	11.646688346486712	#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (* wj x) -2) x) (.f64 (.f64 wj #s(literal -2 binary64)) x)))
accuracy	59.958071460125275	#s(approx (+ (* (* wj x) -2) x) (.f64 (.f64 wj #s(literal -2 binary64)) x))
accuracy	0	(*.f64 wj wj)
accuracy	2.959600051919722	#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) wj) x) (*.f64 wj wj)))
accuracy	52.25953114421245	#s(approx (+ (* (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) wj) x) (*.f64 wj wj))
accuracy	0.00390625	(fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) 1) #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x)) wj x)
accuracy	0.01171875	(fma.f64 #s(approx (+ (* 5/2 x) 1) #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x))
accuracy	2.959600051919722	#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) 1) #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x)) wj x))
accuracy	28.82308639708738	#s(approx (+ (* 5/2 x) 1) #s(literal 1 binary64))

Samples

38.0ms	176×	0	valid
34.0ms	74×	1	valid
15.0ms	6×	2	valid

Compiler

Compiled 241 to 33 computations (86.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-mult: 25.0ms (37.6% of total)

ival-add: 23.0ms (34.6% of total)

adjust: 5.0ms (7.5% of total)

ival-exp: 5.0ms (7.5% of total)

ival-div: 4.0ms (6% of total)

ival-sub: 3.0ms (4.5% of total)

ival-neg: 1.0ms (1.5% of total)

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

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

exact: 0.0ms (0% of total)

series36.0ms (0.4%)

Memory

20.8MiB live, 57.1MiB allocated

Counts

20 → 420

Calls

Call 1

Inputs
#s(alt #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) 1) #s(literal 1 binary64)) wj (.f64 #s(literal -2 binary64) x)) wj x)) (patch #s(approx (- wj (/ (- ( wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) 1) #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x)) wj x)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) 1) #s(literal 1 binary64)) wj (.f64 #s(literal -2 binary64) x)) wj x) (patch (fma.f64 (fma.f64 #s(approx (+ ( 5/2 x) 1) #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x)) wj x) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (+ (* 5/2 x) 1) #s(literal 1 binary64)) wj (.f64 #s(literal -2 binary64) x)) (patch (fma.f64 #s(approx (+ ( 5/2 x) 1) #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* 5/2 x) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* 5/2 x) 1) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) wj) x) (.f64 wj wj))) (patch #s(approx (- wj (/ (- ( wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) wj) x) (*.f64 wj wj))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) wj) x) (.f64 wj wj)) (patch #s(approx (+ ( (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) wj) x) (*.f64 wj wj)) #<representation binary64>) () ())
#s(alt (.f64 wj wj) (patch (.f64 wj wj) #<representation binary64>) () ())
#s(alt #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (* wj x) -2) x) (.f64 (.f64 wj #s(literal -2 binary64)) x))) (patch #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (* wj x) -2) x) (.f64 (.f64 wj #s(literal -2 binary64)) x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* wj x) -2) x) (.f64 (.f64 wj #s(literal -2 binary64)) x)) (patch #s(approx (+ (* (* wj x) -2) x) (.f64 (.f64 wj #s(literal -2 binary64)) x)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 wj #s(literal -2 binary64)) x) (patch (.f64 (.f64 wj #s(literal -2 binary64)) x) #<representation binary64>) () ())
#s(alt (.f64 wj #s(literal -2 binary64)) (patch (.f64 wj #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 #s(approx (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) (.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x)) wj x)) (patch #s(approx (- wj (/ (- ( wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 #s(approx (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) (*.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x)) wj x)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) (.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x)) wj x) (patch (fma.f64 #s(approx (+ ( (+ (* 5/2 x) 1) wj) (* -2 x)) (*.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x)) wj x) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) (.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x)) (patch #s(approx (+ ( (+ (* 5/2 x) 1) wj) (* -2 x)) (*.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x) (patch (.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x) #<representation binary64>) () ())
#s(alt (neg.f64 (+.f64 wj #s(literal 1 binary64))) (patch (neg.f64 (+.f64 wj #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (.f64 (neg.f64 (+.f64 wj #s(literal 1 binary64))) (exp.f64 wj))))) (patch (-.f64 wj #s(approx (/ (- ( wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (*.f64 (neg.f64 (+.f64 wj #s(literal 1 binary64))) (exp.f64 wj))))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (.f64 (neg.f64 (+.f64 wj #s(literal 1 binary64))) (exp.f64 wj)))) (patch #s(approx (/ (- ( wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (*.f64 (neg.f64 (+.f64 wj #s(literal 1 binary64))) (exp.f64 wj)))) #<representation binary64>) () ())
#s(alt (.f64 (neg.f64 (+.f64 wj #s(literal 1 binary64))) (exp.f64 wj)) (patch (.f64 (neg.f64 (+.f64 wj #s(literal 1 binary64))) (exp.f64 wj)) #<representation binary64>) () ())
#s(alt (/.f64 x (.f64 (neg.f64 (+.f64 wj #s(literal 1 binary64))) (exp.f64 wj))) (patch (/.f64 x (.f64 (neg.f64 (+.f64 wj #s(literal 1 binary64))) (exp.f64 wj))) #<representation binary64>) () ())

Outputs
#s(alt x (taylor 0 wj) (#s(alt #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) 1) #s(literal 1 binary64)) wj (.f64 #s(literal -2 binary64) x)) wj x)) (patch #s(approx (- wj (/ (- ( wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) 1) #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x)) wj x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -2 (* wj x))) (taylor 0 wj) (#s(alt #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) 1) #s(literal 1 binary64)) wj (.f64 #s(literal -2 binary64) x)) wj x)) (patch #s(approx (- wj (/ (- ( wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) 1) #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x)) wj x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* wj (- (* wj (- 1 (+ (* -4 x) (* 3/2 x)))) (* 2 x)))) (taylor 0 wj) (#s(alt #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) 1) #s(literal 1 binary64)) wj (.f64 #s(literal -2 binary64) x)) wj x)) (patch #s(approx (- wj (/ (- ( wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) 1) #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x)) wj x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* wj (- (* wj (- (+ 1 (* -1 (* wj (+ 1 (+ (* -3 x) (+ (* -2 (+ (* -4 x) (* 3/2 x))) (* 2/3 x))))))) (+ (* -4 x) (* 3/2 x)))) (* 2 x)))) (taylor 0 wj) (#s(alt #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) 1) #s(literal 1 binary64)) wj (.f64 #s(literal -2 binary64) x)) wj x)) (patch #s(approx (- wj (/ (- ( wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) 1) #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x)) wj x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 wj) (#s(alt (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) 1) #s(literal 1 binary64)) wj (.f64 #s(literal -2 binary64) x)) wj x) (patch (fma.f64 (fma.f64 #s(approx (+ ( 5/2 x) 1) #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x)) wj x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -2 (* wj x))) (taylor 0 wj) (#s(alt (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) 1) #s(literal 1 binary64)) wj (.f64 #s(literal -2 binary64) x)) wj x) (patch (fma.f64 (fma.f64 #s(approx (+ ( 5/2 x) 1) #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x)) wj x) #<representation binary64>) () ())) ())
#s(alt (+ x (* wj (+ (* -2 x) (* wj (+ 1 (* 5/2 x)))))) (taylor 0 wj) (#s(alt (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) 1) #s(literal 1 binary64)) wj (.f64 #s(literal -2 binary64) x)) wj x) (patch (fma.f64 (fma.f64 #s(approx (+ ( 5/2 x) 1) #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x)) wj x) #<representation binary64>) () ())) ())
#s(alt (+ x (* wj (+ (* -2 x) (* wj (+ 1 (* 5/2 x)))))) (taylor 0 wj) (#s(alt (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) 1) #s(literal 1 binary64)) wj (.f64 #s(literal -2 binary64) x)) wj x) (patch (fma.f64 (fma.f64 #s(approx (+ ( 5/2 x) 1) #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x)) wj x) #<representation binary64>) () ())) ())
#s(alt (* -2 x) (taylor 0 wj) (#s(alt (fma.f64 #s(approx (+ (* 5/2 x) 1) #s(literal 1 binary64)) wj (.f64 #s(literal -2 binary64) x)) (patch (fma.f64 #s(approx (+ ( 5/2 x) 1) #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 x) (* wj (+ 1 (* 5/2 x)))) (taylor 0 wj) (#s(alt (fma.f64 #s(approx (+ (* 5/2 x) 1) #s(literal 1 binary64)) wj (.f64 #s(literal -2 binary64) x)) (patch (fma.f64 #s(approx (+ ( 5/2 x) 1) #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 x) (* wj (+ 1 (* 5/2 x)))) (taylor 0 wj) (#s(alt (fma.f64 #s(approx (+ (* 5/2 x) 1) #s(literal 1 binary64)) wj (.f64 #s(literal -2 binary64) x)) (patch (fma.f64 #s(approx (+ ( 5/2 x) 1) #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 x) (* wj (+ 1 (* 5/2 x)))) (taylor 0 wj) (#s(alt (fma.f64 #s(approx (+ (* 5/2 x) 1) #s(literal 1 binary64)) wj (.f64 #s(literal -2 binary64) x)) (patch (fma.f64 #s(approx (+ ( 5/2 x) 1) #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 wj) (#s(alt #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) wj) x) (.f64 wj wj))) (patch #s(approx (- wj (/ (- ( wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) wj) x) (*.f64 wj wj))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -2 (* wj x))) (taylor 0 wj) (#s(alt #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) wj) x) (.f64 wj wj))) (patch #s(approx (- wj (/ (- ( wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) wj) x) (*.f64 wj wj))) #<representation binary64>) () ())) ())
#s(alt (+ x (* wj (- (* wj (- 1 (+ (* -4 x) (* 3/2 x)))) (* 2 x)))) (taylor 0 wj) (#s(alt #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) wj) x) (.f64 wj wj))) (patch #s(approx (- wj (/ (- ( wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) wj) x) (*.f64 wj wj))) #<representation binary64>) () ())) ())
#s(alt (+ x (* wj (- (* wj (- (+ 1 (* -1 (* wj (+ 1 (+ (* -3 x) (+ (* -2 (+ (* -4 x) (* 3/2 x))) (* 2/3 x))))))) (+ (* -4 x) (* 3/2 x)))) (* 2 x)))) (taylor 0 wj) (#s(alt #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) wj) x) (.f64 wj wj))) (patch #s(approx (- wj (/ (- ( wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) wj) x) (*.f64 wj wj))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 wj) (#s(alt #s(approx (+ (* (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) wj) x) (.f64 wj wj)) (patch #s(approx (+ ( (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) wj) x) (*.f64 wj wj)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -2 (* wj x))) (taylor 0 wj) (#s(alt #s(approx (+ (* (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) wj) x) (.f64 wj wj)) (patch #s(approx (+ ( (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) wj) x) (*.f64 wj wj)) #<representation binary64>) () ())) ())
#s(alt (+ x (* wj (+ (* -2 x) (* wj (+ 1 (* 5/2 x)))))) (taylor 0 wj) (#s(alt #s(approx (+ (* (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) wj) x) (.f64 wj wj)) (patch #s(approx (+ ( (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) wj) x) (*.f64 wj wj)) #<representation binary64>) () ())) ())
#s(alt (+ x (* wj (+ (* -2 x) (* wj (+ 1 (* 5/2 x)))))) (taylor 0 wj) (#s(alt #s(approx (+ (* (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) wj) x) (.f64 wj wj)) (patch #s(approx (+ ( (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) wj) x) (*.f64 wj wj)) #<representation binary64>) () ())) ())
#s(alt (pow wj 2) (taylor 0 wj) (#s(alt (.f64 wj wj) (patch (.f64 wj wj) #<representation binary64>) () ())) ())
#s(alt (pow wj 2) (taylor 0 wj) (#s(alt (.f64 wj wj) (patch (.f64 wj wj) #<representation binary64>) () ())) ())
#s(alt (pow wj 2) (taylor 0 wj) (#s(alt (.f64 wj wj) (patch (.f64 wj wj) #<representation binary64>) () ())) ())
#s(alt (pow wj 2) (taylor 0 wj) (#s(alt (.f64 wj wj) (patch (.f64 wj wj) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 wj) (#s(alt #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (* wj x) -2) x) (.f64 (.f64 wj #s(literal -2 binary64)) x))) (patch #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (* wj x) -2) x) (.f64 (.f64 wj #s(literal -2 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -2 (* wj x))) (taylor 0 wj) (#s(alt #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (* wj x) -2) x) (.f64 (.f64 wj #s(literal -2 binary64)) x))) (patch #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (* wj x) -2) x) (.f64 (.f64 wj #s(literal -2 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* wj (- (* wj (- 1 (+ (* -4 x) (* 3/2 x)))) (* 2 x)))) (taylor 0 wj) (#s(alt #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (* wj x) -2) x) (.f64 (.f64 wj #s(literal -2 binary64)) x))) (patch #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (* wj x) -2) x) (.f64 (.f64 wj #s(literal -2 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* wj (- (* wj (- (+ 1 (* -1 (* wj (+ 1 (+ (* -3 x) (+ (* -2 (+ (* -4 x) (* 3/2 x))) (* 2/3 x))))))) (+ (* -4 x) (* 3/2 x)))) (* 2 x)))) (taylor 0 wj) (#s(alt #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (* wj x) -2) x) (.f64 (.f64 wj #s(literal -2 binary64)) x))) (patch #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (* wj x) -2) x) (.f64 (.f64 wj #s(literal -2 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 wj) (#s(alt #s(approx (+ (* (* wj x) -2) x) (.f64 (.f64 wj #s(literal -2 binary64)) x)) (patch #s(approx (+ (* (* wj x) -2) x) (.f64 (.f64 wj #s(literal -2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -2 (* wj x))) (taylor 0 wj) (#s(alt #s(approx (+ (* (* wj x) -2) x) (.f64 (.f64 wj #s(literal -2 binary64)) x)) (patch #s(approx (+ (* (* wj x) -2) x) (.f64 (.f64 wj #s(literal -2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -2 (* wj x))) (taylor 0 wj) (#s(alt #s(approx (+ (* (* wj x) -2) x) (.f64 (.f64 wj #s(literal -2 binary64)) x)) (patch #s(approx (+ (* (* wj x) -2) x) (.f64 (.f64 wj #s(literal -2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -2 (* wj x))) (taylor 0 wj) (#s(alt #s(approx (+ (* (* wj x) -2) x) (.f64 (.f64 wj #s(literal -2 binary64)) x)) (patch #s(approx (+ (* (* wj x) -2) x) (.f64 (.f64 wj #s(literal -2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -2 (* wj x)) (taylor 0 wj) (#s(alt (.f64 (.f64 wj #s(literal -2 binary64)) x) (patch (.f64 (.f64 wj #s(literal -2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -2 (* wj x)) (taylor 0 wj) (#s(alt (.f64 (.f64 wj #s(literal -2 binary64)) x) (patch (.f64 (.f64 wj #s(literal -2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -2 (* wj x)) (taylor 0 wj) (#s(alt (.f64 (.f64 wj #s(literal -2 binary64)) x) (patch (.f64 (.f64 wj #s(literal -2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -2 (* wj x)) (taylor 0 wj) (#s(alt (.f64 (.f64 wj #s(literal -2 binary64)) x) (patch (.f64 (.f64 wj #s(literal -2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -2 wj) (taylor 0 wj) (#s(alt (.f64 wj #s(literal -2 binary64)) (patch (.f64 wj #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2 wj) (taylor 0 wj) (#s(alt (.f64 wj #s(literal -2 binary64)) (patch (.f64 wj #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2 wj) (taylor 0 wj) (#s(alt (.f64 wj #s(literal -2 binary64)) (patch (.f64 wj #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2 wj) (taylor 0 wj) (#s(alt (.f64 wj #s(literal -2 binary64)) (patch (.f64 wj #s(literal -2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* -2 (* wj x)) (taylor -inf x) (#s(alt (.f64 (.f64 wj #s(literal -2 binary64)) x) (patch (.f64 (.f64 wj #s(literal -2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ x (+ (exp wj) (* wj (exp wj)))) (taylor -inf x) (#s(alt #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 #s(approx (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) (.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x)) wj x)) (patch #s(approx (- wj (/ (- ( wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 #s(approx (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) (*.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x)) wj x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj))))))) (taylor -inf x) (#s(alt #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 #s(approx (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) (.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x)) wj x)) (patch #s(approx (- wj (/ (- ( wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 #s(approx (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) (*.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x)) wj x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj))))))) (taylor -inf x) (#s(alt #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 #s(approx (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) (.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x)) wj x)) (patch #s(approx (- wj (/ (- ( wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 #s(approx (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) (*.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x)) wj x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj))))))) (taylor -inf x) (#s(alt #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 #s(approx (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) (.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x)) wj x)) (patch #s(approx (- wj (/ (- ( wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 #s(approx (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) (*.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x)) wj x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* wj (+ 2 (* -5/2 wj))) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) (.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x)) wj x) (patch (fma.f64 #s(approx (+ ( (+ (* 5/2 x) 1) wj) (* -2 x)) (*.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x)) wj x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ (pow wj 2) x)) (* wj (+ 2 (* -5/2 wj)))) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) (.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x)) wj x) (patch (fma.f64 #s(approx (+ ( (+ (* 5/2 x) 1) wj) (* -2 x)) (*.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x)) wj x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ (pow wj 2) x)) (* wj (+ 2 (* -5/2 wj)))) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) (.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x)) wj x) (patch (fma.f64 #s(approx (+ ( (+ (* 5/2 x) 1) wj) (* -2 x)) (*.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x)) wj x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ (pow wj 2) x)) (* wj (+ 2 (* -5/2 wj)))) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) (.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x)) wj x) (patch (fma.f64 #s(approx (+ ( (+ (* 5/2 x) 1) wj) (* -2 x)) (*.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x)) wj x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 2 (* -5/2 wj)))) (taylor -inf x) (#s(alt #s(approx (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) (.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x)) (patch #s(approx (+ ( (+ (* 5/2 x) 1) wj) (* -2 x)) (*.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 2 (+ (* -5/2 wj) (* -1 (/ wj x)))))) (taylor -inf x) (#s(alt #s(approx (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) (.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x)) (patch #s(approx (+ ( (+ (* 5/2 x) 1) wj) (* -2 x)) (*.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 2 (+ (* -5/2 wj) (* -1 (/ wj x)))))) (taylor -inf x) (#s(alt #s(approx (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) (.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x)) (patch #s(approx (+ ( (+ (* 5/2 x) 1) wj) (* -2 x)) (*.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 2 (+ (* -5/2 wj) (* -1 (/ wj x)))))) (taylor -inf x) (#s(alt #s(approx (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) (.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x)) (patch #s(approx (+ ( (+ (* 5/2 x) 1) wj) (* -2 x)) (*.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 5/2 wj) 2)) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x) (patch (.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 5/2 wj) 2)) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x) (patch (.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 5/2 wj) 2)) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x) (patch (.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 5/2 wj) 2)) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x) (patch (.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ x (+ (exp wj) (* wj (exp wj)))) (taylor -inf x) (#s(alt (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (.f64 (neg.f64 (+.f64 wj #s(literal 1 binary64))) (exp.f64 wj))))) (patch (-.f64 wj #s(approx (/ (- ( wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (*.f64 (neg.f64 (+.f64 wj #s(literal 1 binary64))) (exp.f64 wj))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj))))))) (taylor -inf x) (#s(alt (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (.f64 (neg.f64 (+.f64 wj #s(literal 1 binary64))) (exp.f64 wj))))) (patch (-.f64 wj #s(approx (/ (- ( wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (*.f64 (neg.f64 (+.f64 wj #s(literal 1 binary64))) (exp.f64 wj))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj))))))) (taylor -inf x) (#s(alt (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (.f64 (neg.f64 (+.f64 wj #s(literal 1 binary64))) (exp.f64 wj))))) (patch (-.f64 wj #s(approx (/ (- ( wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (*.f64 (neg.f64 (+.f64 wj #s(literal 1 binary64))) (exp.f64 wj))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj))))))) (taylor -inf x) (#s(alt (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (.f64 (neg.f64 (+.f64 wj #s(literal 1 binary64))) (exp.f64 wj))))) (patch (-.f64 wj #s(approx (/ (- ( wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (*.f64 (neg.f64 (+.f64 wj #s(literal 1 binary64))) (exp.f64 wj))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x (+ (exp wj) (* wj (exp wj))))) (taylor -inf x) (#s(alt #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (.f64 (neg.f64 (+.f64 wj #s(literal 1 binary64))) (exp.f64 wj)))) (patch #s(approx (/ (- ( wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (*.f64 (neg.f64 (+.f64 wj #s(literal 1 binary64))) (exp.f64 wj)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))) (/ 1 (+ (exp wj) (* wj (exp wj))))))) (taylor -inf x) (#s(alt #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (.f64 (neg.f64 (+.f64 wj #s(literal 1 binary64))) (exp.f64 wj)))) (patch #s(approx (/ (- ( wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (*.f64 (neg.f64 (+.f64 wj #s(literal 1 binary64))) (exp.f64 wj)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))) (/ 1 (+ (exp wj) (* wj (exp wj))))))) (taylor -inf x) (#s(alt #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (.f64 (neg.f64 (+.f64 wj #s(literal 1 binary64))) (exp.f64 wj)))) (patch #s(approx (/ (- ( wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (*.f64 (neg.f64 (+.f64 wj #s(literal 1 binary64))) (exp.f64 wj)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))) (/ 1 (+ (exp wj) (* wj (exp wj))))))) (taylor -inf x) (#s(alt #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (.f64 (neg.f64 (+.f64 wj #s(literal 1 binary64))) (exp.f64 wj)))) (patch #s(approx (/ (- ( wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (*.f64 (neg.f64 (+.f64 wj #s(literal 1 binary64))) (exp.f64 wj)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x (* (exp wj) (+ 1 wj)))) (taylor -inf x) (#s(alt (/.f64 x (.f64 (neg.f64 (+.f64 wj #s(literal 1 binary64))) (exp.f64 wj))) (patch (/.f64 x (.f64 (neg.f64 (+.f64 wj #s(literal 1 binary64))) (exp.f64 wj))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x (* (exp wj) (+ 1 wj)))) (taylor -inf x) (#s(alt (/.f64 x (.f64 (neg.f64 (+.f64 wj #s(literal 1 binary64))) (exp.f64 wj))) (patch (/.f64 x (.f64 (neg.f64 (+.f64 wj #s(literal 1 binary64))) (exp.f64 wj))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x (* (exp wj) (+ 1 wj)))) (taylor -inf x) (#s(alt (/.f64 x (.f64 (neg.f64 (+.f64 wj #s(literal 1 binary64))) (exp.f64 wj))) (patch (/.f64 x (.f64 (neg.f64 (+.f64 wj #s(literal 1 binary64))) (exp.f64 wj))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x (* (exp wj) (+ 1 wj)))) (taylor -inf x) (#s(alt (/.f64 x (.f64 (neg.f64 (+.f64 wj #s(literal 1 binary64))) (exp.f64 wj))) (patch (/.f64 x (.f64 (neg.f64 (+.f64 wj #s(literal 1 binary64))) (exp.f64 wj))) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	x	@	0	((- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (+ (* (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) wj) x) (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) (+ (* 5/2 x) 1) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (+ (* (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) wj) x) (* wj wj) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (+ (* (* wj x) -2) x) (* (* wj -2) x) (* wj -2) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (+ (* (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) wj) x) (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) (* (+ (* 5/2 wj) -2) x) (neg (+ wj 1)) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (* (neg (+ wj 1)) (exp wj)) (/ x (* (neg (+ wj 1)) (exp wj))))
3.0ms	wj	@	-inf	((- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (+ (* (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) wj) x) (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) (+ (* 5/2 x) 1) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (+ (* (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) wj) x) (* wj wj) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (+ (* (* wj x) -2) x) (* (* wj -2) x) (* wj -2) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (+ (* (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) wj) x) (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) (* (+ (* 5/2 wj) -2) x) (neg (+ wj 1)) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (* (neg (+ wj 1)) (exp wj)) (/ x (* (neg (+ wj 1)) (exp wj))))
2.0ms	x	@	inf	((- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (+ (* (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) wj) x) (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) (+ (* 5/2 x) 1) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (+ (* (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) wj) x) (* wj wj) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (+ (* (* wj x) -2) x) (* (* wj -2) x) (* wj -2) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (+ (* (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) wj) x) (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) (* (+ (* 5/2 wj) -2) x) (neg (+ wj 1)) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (* (neg (+ wj 1)) (exp wj)) (/ x (* (neg (+ wj 1)) (exp wj))))
2.0ms	x	@	-inf	((- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (+ (* (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) wj) x) (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) (+ (* 5/2 x) 1) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (+ (* (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) wj) x) (* wj wj) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (+ (* (* wj x) -2) x) (* (* wj -2) x) (* wj -2) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (+ (* (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) wj) x) (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) (* (+ (* 5/2 wj) -2) x) (neg (+ wj 1)) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (* (neg (+ wj 1)) (exp wj)) (/ x (* (neg (+ wj 1)) (exp wj))))
2.0ms	wj	@	inf	((- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (+ (* (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) wj) x) (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) (+ (* 5/2 x) 1) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (+ (* (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) wj) x) (* wj wj) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (+ (* (* wj x) -2) x) (* (* wj -2) x) (* wj -2) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (+ (* (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) wj) x) (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) (* (+ (* 5/2 wj) -2) x) (neg (+ wj 1)) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (* (neg (+ wj 1)) (exp wj)) (/ x (* (neg (+ wj 1)) (exp wj))))

simplify216.0ms (2.3%)

Memory

-16.2MiB live, 249.4MiB allocated

Algorithm

1×	egg-herbie

Rules

22 752×	`lower-fma.f64`
22 752×	`lower-fma.f32`
6 198×	`lower-+.f64`
6 198×	`lower-+.f32`
4 496×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	328	5344
1	1028	5066
2	3055	4528
0	8300	4145

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 399

Calls

Call 1

Inputs
x
(+ x (* -2 (* wj x)))
(+ x (* wj (- (* wj (- 1 (+ (* -4 x) (* 3/2 x)))) (* 2 x))))
(+ x (* wj (- (* wj (- (+ 1 (* -1 (* wj (+ 1 (+ (* -3 x) (+ (* -2 (+ (* -4 x) (* 3/2 x))) (* 2/3 x))))))) (+ (* -4 x) (* 3/2 x)))) (* 2 x))))
x
(+ x (* -2 (* wj x)))
(+ x (* wj (+ (* -2 x) (* wj (+ 1 (* 5/2 x))))))
(+ x (* wj (+ (* -2 x) (* wj (+ 1 (* 5/2 x))))))
(* -2 x)
(+ (* -2 x) (* wj (+ 1 (* 5/2 x))))
(+ (* -2 x) (* wj (+ 1 (* 5/2 x))))
(+ (* -2 x) (* wj (+ 1 (* 5/2 x))))
x
(+ x (* -2 (* wj x)))
(+ x (* wj (- (* wj (- 1 (+ (* -4 x) (* 3/2 x)))) (* 2 x))))
(+ x (* wj (- (* wj (- (+ 1 (* -1 (* wj (+ 1 (+ (* -3 x) (+ (* -2 (+ (* -4 x) (* 3/2 x))) (* 2/3 x))))))) (+ (* -4 x) (* 3/2 x)))) (* 2 x))))
x
(+ x (* -2 (* wj x)))
(+ x (* wj (+ (* -2 x) (* wj (+ 1 (* 5/2 x))))))
(+ x (* wj (+ (* -2 x) (* wj (+ 1 (* 5/2 x))))))
(pow wj 2)
(pow wj 2)
(pow wj 2)
(pow wj 2)
x
(+ x (* -2 (* wj x)))
(+ x (* wj (- (* wj (- 1 (+ (* -4 x) (* 3/2 x)))) (* 2 x))))
(+ x (* wj (- (* wj (- (+ 1 (* -1 (* wj (+ 1 (+ (* -3 x) (+ (* -2 (+ (* -4 x) (* 3/2 x))) (* 2/3 x))))))) (+ (* -4 x) (* 3/2 x)))) (* 2 x))))
x
(+ x (* -2 (* wj x)))
(+ x (* -2 (* wj x)))
(+ x (* -2 (* wj x)))
(* -2 (* wj x))
(* -2 (* wj x))
(* -2 (* wj x))
(* -2 (* wj x))
(* -2 wj)
(* -2 wj)
(* -2 wj)
(* -2 wj)
x
(+ x (* -2 (* wj x)))
(+ x (* wj (- (* wj (- 1 (+ (* -4 x) (* 3/2 x)))) (* 2 x))))
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(* 5/2 x)
(* x (+ 5/2 (/ 1 x)))
(* x (+ 5/2 (/ 1 x)))
(* x (+ 5/2 (/ 1 x)))
(/ x (+ (exp wj) (* wj (exp wj))))
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(* -1 (* x (- (* wj (+ 2 (* -5/2 wj))) 1)))
(* -1 (* x (- (+ (* -1 (/ (pow wj 2) x)) (* wj (+ 2 (* -5/2 wj)))) 1)))
(* -1 (* x (- (+ (* -1 (/ (pow wj 2) x)) (* wj (+ 2 (* -5/2 wj)))) 1)))
(* -1 (* x (- (+ (* -1 (/ (pow wj 2) x)) (* wj (+ 2 (* -5/2 wj)))) 1)))
(/ x (+ (exp wj) (* wj (exp wj))))
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(* -1 (* x (- (* 2 wj) 1)))
(* -1 (* x (- (* 2 wj) 1)))
(* -1 (* x (- (* 2 wj) 1)))
(* -1 (* x (- (* 2 wj) 1)))
(* -2 (* wj x))
(* -2 (* wj x))
(* -2 (* wj x))
(* -2 (* wj x))
(/ x (+ (exp wj) (* wj (exp wj))))
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(* -1 (* x (- (* wj (+ 2 (* -5/2 wj))) 1)))
(* -1 (* x (- (+ (* -1 (/ (pow wj 2) x)) (* wj (+ 2 (* -5/2 wj)))) 1)))
(* -1 (* x (- (+ (* -1 (/ (pow wj 2) x)) (* wj (+ 2 (* -5/2 wj)))) 1)))
(* -1 (* x (- (+ (* -1 (/ (pow wj 2) x)) (* wj (+ 2 (* -5/2 wj)))) 1)))
(* -1 (* x (+ 2 (* -5/2 wj))))
(* -1 (* x (+ 2 (+ (* -5/2 wj) (* -1 (/ wj x))))))
(* -1 (* x (+ 2 (+ (* -5/2 wj) (* -1 (/ wj x))))))
(* -1 (* x (+ 2 (+ (* -5/2 wj) (* -1 (/ wj x))))))
(* x (- (* 5/2 wj) 2))
(* x (- (* 5/2 wj) 2))
(* x (- (* 5/2 wj) 2))
(* x (- (* 5/2 wj) 2))
(/ x (+ (exp wj) (* wj (exp wj))))
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(* -1 (/ x (+ (exp wj) (* wj (exp wj)))))
(* -1 (* x (+ (* -1 (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(* -1 (* x (+ (* -1 (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(* -1 (* x (+ (* -1 (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(* -1 (/ x (* (exp wj) (+ 1 wj))))
(* -1 (/ x (* (exp wj) (+ 1 wj))))
(* -1 (/ x (* (exp wj) (+ 1 wj))))
(* -1 (/ x (* (exp wj) (+ 1 wj))))

Outputs
x
(+ x (* -2 (* wj x)))
(*.f64 (fma.f64 wj #s(literal -2 binary64) #s(literal 1 binary64)) x)
(+ x (* wj (- (* wj (- 1 (+ (* -4 x) (* 3/2 x)))) (* 2 x))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x wj) wj x)
(+ x (* wj (- (* wj (- (+ 1 (* -1 (* wj (+ 1 (+ (* -3 x) (+ (* -2 (+ (* -4 x) (* 3/2 x))) (* 2/3 x))))))) (+ (* -4 x) (* 3/2 x)))) (* 2 x))))
(fma.f64 (fma.f64 #s(literal -2 binary64) x (.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 2/3 binary64) x (.f64 #s(literal 2 binary64) x)) wj wj))) wj)) wj x)
x
(+ x (* -2 (* wj x)))
(*.f64 (fma.f64 wj #s(literal -2 binary64) #s(literal 1 binary64)) x)
(+ x (* wj (+ (* -2 x) (* wj (+ 1 (* 5/2 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x wj) wj x)
(+ x (* wj (+ (* -2 x) (* wj (+ 1 (* 5/2 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x wj) wj x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(+ (* -2 x) (* wj (+ 1 (* 5/2 x))))
(fma.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x wj)
(+ (* -2 x) (* wj (+ 1 (* 5/2 x))))
(fma.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x wj)
(+ (* -2 x) (* wj (+ 1 (* 5/2 x))))
(fma.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x wj)
x
(+ x (* -2 (* wj x)))
(*.f64 (fma.f64 wj #s(literal -2 binary64) #s(literal 1 binary64)) x)
(+ x (* wj (- (* wj (- 1 (+ (* -4 x) (* 3/2 x)))) (* 2 x))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x wj) wj x)
(+ x (* wj (- (* wj (- (+ 1 (* -1 (* wj (+ 1 (+ (* -3 x) (+ (* -2 (+ (* -4 x) (* 3/2 x))) (* 2/3 x))))))) (+ (* -4 x) (* 3/2 x)))) (* 2 x))))
(fma.f64 (fma.f64 #s(literal -2 binary64) x (.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 2/3 binary64) x (.f64 #s(literal 2 binary64) x)) wj wj))) wj)) wj x)
x
(+ x (* -2 (* wj x)))
(*.f64 (fma.f64 wj #s(literal -2 binary64) #s(literal 1 binary64)) x)
(+ x (* wj (+ (* -2 x) (* wj (+ 1 (* 5/2 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x wj) wj x)
(+ x (* wj (+ (* -2 x) (* wj (+ 1 (* 5/2 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x wj) wj x)
(pow wj 2)
(*.f64 wj wj)
(pow wj 2)
(*.f64 wj wj)
(pow wj 2)
(*.f64 wj wj)
(pow wj 2)
(*.f64 wj wj)
x
(+ x (* -2 (* wj x)))
(*.f64 (fma.f64 wj #s(literal -2 binary64) #s(literal 1 binary64)) x)
(+ x (* wj (- (* wj (- 1 (+ (* -4 x) (* 3/2 x)))) (* 2 x))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x wj) wj x)
(+ x (* wj (- (* wj (- (+ 1 (* -1 (* wj (+ 1 (+ (* -3 x) (+ (* -2 (+ (* -4 x) (* 3/2 x))) (* 2/3 x))))))) (+ (* -4 x) (* 3/2 x)))) (* 2 x))))
(fma.f64 (fma.f64 #s(literal -2 binary64) x (.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 2/3 binary64) x (.f64 #s(literal 2 binary64) x)) wj wj))) wj)) wj x)
x
(+ x (* -2 (* wj x)))
(*.f64 (fma.f64 wj #s(literal -2 binary64) #s(literal 1 binary64)) x)
(+ x (* -2 (* wj x)))
(*.f64 (fma.f64 wj #s(literal -2 binary64) #s(literal 1 binary64)) x)
(+ x (* -2 (* wj x)))
(*.f64 (fma.f64 wj #s(literal -2 binary64) #s(literal 1 binary64)) x)
(* -2 (* wj x))
(.f64 (.f64 wj #s(literal -2 binary64)) x)
(* -2 (* wj x))
(.f64 (.f64 wj #s(literal -2 binary64)) x)
(* -2 (* wj x))
(.f64 (.f64 wj #s(literal -2 binary64)) x)
(* -2 (* wj x))
(.f64 (.f64 wj #s(literal -2 binary64)) x)
(* -2 wj)
(*.f64 wj #s(literal -2 binary64))
(* -2 wj)
(*.f64 wj #s(literal -2 binary64))
(* -2 wj)
(*.f64 wj #s(literal -2 binary64))
(* -2 wj)
(*.f64 wj #s(literal -2 binary64))
x
(+ x (* -2 (* wj x)))
(*.f64 (fma.f64 wj #s(literal -2 binary64) #s(literal 1 binary64)) x)
(+ x (* wj (- (* wj (- 1 (+ (* -4 x) (* 3/2 x)))) (* 2 x))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x wj) wj x)
(+ x (* wj (- (* wj (- (+ 1 (* -1 (* wj (+ 1 (+ (* -3 x) (+ (* -2 (+ (* -4 x) (* 3/2 x))) (* 2/3 x))))))) (+ (* -4 x) (* 3/2 x)))) (* 2 x))))
(fma.f64 (fma.f64 #s(literal -2 binary64) x (.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 2/3 binary64) x (.f64 #s(literal 2 binary64) x)) wj wj))) wj)) wj x)
x
(+ x (* -2 (* wj x)))
(*.f64 (fma.f64 wj #s(literal -2 binary64) #s(literal 1 binary64)) x)
(+ x (* wj (+ (* -2 x) (* wj (+ 1 (* 5/2 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x wj) wj x)
(+ x (* wj (+ (* -2 x) (* wj (+ 1 (* 5/2 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x wj) wj x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(+ (* -2 x) (* wj (+ 1 (* 5/2 x))))
(fma.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x wj)
(+ (* -2 x) (* wj (+ 1 (* 5/2 x))))
(fma.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x wj)
(+ (* -2 x) (* wj (+ 1 (* 5/2 x))))
(fma.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x wj)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(+ (* -2 x) (* 5/2 (* wj x)))
(*.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x)
(+ (* -2 x) (* 5/2 (* wj x)))
(*.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x)
(+ (* -2 x) (* 5/2 (* wj x)))
(*.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x)
-1
#s(literal -1 binary64)
(- (* -1 wj) 1)
(-.f64 #s(literal -1 binary64) wj)
(- (* -1 wj) 1)
(-.f64 #s(literal -1 binary64) wj)
(- (* -1 wj) 1)
(-.f64 #s(literal -1 binary64) wj)
x
(+ x (* -2 (* wj x)))
(*.f64 (fma.f64 wj #s(literal -2 binary64) #s(literal 1 binary64)) x)
(+ x (* wj (- (* wj (- 1 (+ (* -4 x) (* 3/2 x)))) (* 2 x))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x wj) wj x)
(+ x (* wj (- (* wj (- (+ 1 (* -1 (* wj (+ 1 (+ (* -3 x) (+ (* -2 (+ (* -4 x) (* 3/2 x))) (* 2/3 x))))))) (+ (* -4 x) (* 3/2 x)))) (* 2 x))))
(fma.f64 (fma.f64 #s(literal -2 binary64) x (.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 2/3 binary64) x (.f64 #s(literal 2 binary64) x)) wj wj))) wj)) wj x)
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (* wj (- 1 (* -2 x))))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) wj (neg.f64 x))
(+ (* -1 x) (* wj (- (+ 1 (* wj (- 1 (+ (* -3/2 x) (* 2 (- 1 (* -2 x))))))) (* -2 x))))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -1 binary64)) #s(literal 2 binary64) (fma.f64 #s(literal 3/2 binary64) x #s(literal 1 binary64))) wj (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj (neg.f64 x))
(+ (* -1 x) (* wj (- (+ 1 (* wj (- (+ 1 (* wj (- 1/2 (+ (* -2/3 x) (+ (* 3/2 (- 1 (* -2 x))) (* 2 (- 1 (+ (* -3/2 x) (* 2 (- 1 (* -2 x))))))))))) (+ (* -3/2 x) (* 2 (- 1 (* -2 x))))))) (* -2 x))))
(fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2/3 binary64) x (fma.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -1 binary64)) #s(literal 2 binary64) (fma.f64 #s(literal 3/2 binary64) x #s(literal 1 binary64))) #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 3/2 binary64))))) wj (fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -1 binary64)) #s(literal 2 binary64) (fma.f64 #s(literal 3/2 binary64) x #s(literal 1 binary64)))) wj (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj (neg.f64 x))
-1
#s(literal -1 binary64)
(- (* -2 wj) 1)
(fma.f64 wj #s(literal -2 binary64) #s(literal -1 binary64))
(- (* wj (- (* -3/2 wj) 2)) 1)
(fma.f64 (fma.f64 #s(literal -3/2 binary64) wj #s(literal -2 binary64)) wj #s(literal -1 binary64))
(- (* wj (- (* wj (- (* -2/3 wj) 3/2)) 2)) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) wj #s(literal -3/2 binary64)) wj #s(literal -2 binary64)) wj #s(literal -1 binary64))
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (* 2 (* wj x)))
(*.f64 (fma.f64 #s(literal 2 binary64) wj #s(literal -1 binary64)) x)
(+ (* -1 x) (* wj (+ (* 2 x) (* wj (+ (* -4 x) (* 3/2 x))))))
(fma.f64 (*.f64 (fma.f64 #s(literal -5/2 binary64) wj #s(literal 2 binary64)) x) wj (neg.f64 x))
(+ (* -1 x) (* wj (+ (* 2 x) (* wj (+ (* -4 x) (+ (* 3/2 x) (* wj (+ (* -3 x) (+ (* -2 (+ (* -4 x) (* 3/2 x))) (* 2/3 x))))))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -5/2 binary64) x (.f64 (fma.f64 #s(literal 2/3 binary64) x (.f64 #s(literal 2 binary64) x)) wj)) wj (*.f64 #s(literal 2 binary64) x)) wj (neg.f64 x))
wj
(* wj (- 1 (/ 1 wj)))
(+.f64 #s(literal -1 binary64) wj)
(* wj (- (+ 1 (+ (/ 1 (pow wj 2)) (/ x (* (pow wj 2) (exp wj))))) (/ 1 wj)))
(fma.f64 (+.f64 (/.f64 (/.f64 (/.f64 x (exp.f64 wj)) wj) wj) (/.f64 (/.f64 #s(literal 1 binary64) wj) wj)) wj (+.f64 #s(literal -1 binary64) wj))
(* wj (- (+ 1 (+ (* -1 (/ (+ 1 (/ x (exp wj))) (pow wj 3))) (+ (/ 1 (pow wj 2)) (/ x (* (pow wj 2) (exp wj)))))) (/ 1 wj)))
(fma.f64 (fma.f64 (exp.f64 (neg.f64 wj)) (/.f64 (/.f64 x wj) wj) (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) wj) wj) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x (exp.f64 wj))) (pow.f64 wj #s(literal 3 binary64))))) wj #s(literal -1 binary64))
(* (pow wj 2) (+ 1 (* 5/2 x)))
(.f64 (.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) wj) wj)
(* (pow wj 2) (+ 1 (+ (* -2 (/ x wj)) (* 5/2 x))))
(.f64 (fma.f64 x (+.f64 (/.f64 #s(literal -2 binary64) wj) #s(literal 5/2 binary64)) #s(literal 1 binary64)) (.f64 wj wj))
(* (pow wj 2) (+ 1 (+ (* -2 (/ x wj)) (+ (* 5/2 x) (/ x (pow wj 2))))))
(*.f64 wj (fma.f64 (fma.f64 x (+.f64 (/.f64 #s(literal -2 binary64) wj) #s(literal 5/2 binary64)) (/.f64 (/.f64 x wj) wj)) wj wj))
(* (pow wj 2) (+ 1 (+ (* -2 (/ x wj)) (+ (* 5/2 x) (/ x (pow wj 2))))))
(*.f64 wj (fma.f64 (fma.f64 x (+.f64 (/.f64 #s(literal -2 binary64) wj) #s(literal 5/2 binary64)) (/.f64 (/.f64 x wj) wj)) wj wj))
(* wj (+ 1 (* 5/2 x)))
(*.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) wj)
(* wj (+ 1 (+ (* -2 (/ x wj)) (* 5/2 x))))
(*.f64 (fma.f64 x (+.f64 (/.f64 #s(literal -2 binary64) wj) #s(literal 5/2 binary64)) #s(literal 1 binary64)) wj)
(* wj (+ 1 (+ (* -2 (/ x wj)) (* 5/2 x))))
(*.f64 (fma.f64 x (+.f64 (/.f64 #s(literal -2 binary64) wj) #s(literal 5/2 binary64)) #s(literal 1 binary64)) wj)
(* wj (+ 1 (+ (* -2 (/ x wj)) (* 5/2 x))))
(*.f64 (fma.f64 x (+.f64 (/.f64 #s(literal -2 binary64) wj) #s(literal 5/2 binary64)) #s(literal 1 binary64)) wj)
wj
(* wj (- 1 (/ 1 wj)))
(+.f64 #s(literal -1 binary64) wj)
(* wj (- (+ 1 (+ (/ 1 (pow wj 2)) (/ x (* (pow wj 2) (exp wj))))) (/ 1 wj)))
(fma.f64 (+.f64 (/.f64 (/.f64 (/.f64 x (exp.f64 wj)) wj) wj) (/.f64 (/.f64 #s(literal 1 binary64) wj) wj)) wj (+.f64 #s(literal -1 binary64) wj))
(* wj (- (+ 1 (+ (* -1 (/ (+ 1 (/ x (exp wj))) (pow wj 3))) (+ (/ 1 (pow wj 2)) (/ x (* (pow wj 2) (exp wj)))))) (/ 1 wj)))
(fma.f64 (fma.f64 (exp.f64 (neg.f64 wj)) (/.f64 (/.f64 x wj) wj) (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) wj) wj) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x (exp.f64 wj))) (pow.f64 wj #s(literal 3 binary64))))) wj #s(literal -1 binary64))
(* (pow wj 2) (+ 1 (* 5/2 x)))
(.f64 (.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) wj) wj)
(* (pow wj 2) (+ 1 (+ (* -2 (/ x wj)) (* 5/2 x))))
(.f64 (fma.f64 x (+.f64 (/.f64 #s(literal -2 binary64) wj) #s(literal 5/2 binary64)) #s(literal 1 binary64)) (.f64 wj wj))
(* (pow wj 2) (+ 1 (+ (* -2 (/ x wj)) (+ (* 5/2 x) (/ x (pow wj 2))))))
(*.f64 wj (fma.f64 (fma.f64 x (+.f64 (/.f64 #s(literal -2 binary64) wj) #s(literal 5/2 binary64)) (/.f64 (/.f64 x wj) wj)) wj wj))
(* (pow wj 2) (+ 1 (+ (* -2 (/ x wj)) (+ (* 5/2 x) (/ x (pow wj 2))))))
(*.f64 wj (fma.f64 (fma.f64 x (+.f64 (/.f64 #s(literal -2 binary64) wj) #s(literal 5/2 binary64)) (/.f64 (/.f64 x wj) wj)) wj wj))
(pow wj 2)
(*.f64 wj wj)
(pow wj 2)
(*.f64 wj wj)
(pow wj 2)
(*.f64 wj wj)
(pow wj 2)
(*.f64 wj wj)
wj
(* wj (- 1 (/ 1 wj)))
(+.f64 #s(literal -1 binary64) wj)
(* wj (- (+ 1 (+ (/ 1 (pow wj 2)) (/ x (* (pow wj 2) (exp wj))))) (/ 1 wj)))
(fma.f64 (+.f64 (/.f64 (/.f64 (/.f64 x (exp.f64 wj)) wj) wj) (/.f64 (/.f64 #s(literal 1 binary64) wj) wj)) wj (+.f64 #s(literal -1 binary64) wj))
(* wj (- (+ 1 (+ (* -1 (/ (+ 1 (/ x (exp wj))) (pow wj 3))) (+ (/ 1 (pow wj 2)) (/ x (* (pow wj 2) (exp wj)))))) (/ 1 wj)))
(fma.f64 (fma.f64 (exp.f64 (neg.f64 wj)) (/.f64 (/.f64 x wj) wj) (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) wj) wj) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x (exp.f64 wj))) (pow.f64 wj #s(literal 3 binary64))))) wj #s(literal -1 binary64))
(* -2 (* wj x))
(.f64 (.f64 wj #s(literal -2 binary64)) x)
(* wj (+ (* -2 x) (/ x wj)))
(*.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 x wj)) wj)
(* wj (+ (* -2 x) (/ x wj)))
(*.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 x wj)) wj)
(* wj (+ (* -2 x) (/ x wj)))
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(* x (+ 1 (+ (* wj (- (* 5/2 wj) 2)) (/ (pow wj 2) x))))
(*.f64 (fma.f64 wj (-.f64 (fma.f64 #s(literal 5/2 binary64) wj (/.f64 wj x)) #s(literal 2 binary64)) #s(literal 1 binary64)) x)
(* x (+ 1 (+ (* wj (- (* 5/2 wj) 2)) (/ (pow wj 2) x))))
(*.f64 (fma.f64 wj (-.f64 (fma.f64 #s(literal 5/2 binary64) wj (/.f64 wj x)) #s(literal 2 binary64)) #s(literal 1 binary64)) x)
(* x (- (* 5/2 wj) 2))
(*.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x)
(* x (- (+ (* 5/2 wj) (/ wj x)) 2))
(*.f64 (-.f64 (fma.f64 #s(literal 5/2 binary64) wj (/.f64 wj x)) #s(literal 2 binary64)) x)
(* x (- (+ (* 5/2 wj) (/ wj x)) 2))
(*.f64 (-.f64 (fma.f64 #s(literal 5/2 binary64) wj (/.f64 wj x)) #s(literal 2 binary64)) x)
(* x (- (+ (* 5/2 wj) (/ wj x)) 2))
(*.f64 (-.f64 (fma.f64 #s(literal 5/2 binary64) wj (/.f64 wj x)) #s(literal 2 binary64)) x)
(* x (- (* 5/2 wj) 2))
(*.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x)
(* x (- (* 5/2 wj) 2))
(*.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x)
(* x (- (* 5/2 wj) 2))
(*.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x)
(* x (- (* 5/2 wj) 2))
(*.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x)
(/ x (+ (exp wj) (* wj (exp wj))))
(/.f64 x (fma.f64 (exp.f64 wj) wj (exp.f64 wj)))
(* x (- (+ (/ 1 (+ (exp wj) (* wj (exp wj)))) (/ wj x)) (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))))
(*.f64 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) wj)) wj wj) x) (/.f64 (exp.f64 (neg.f64 wj)) (+.f64 #s(literal 1 binary64) wj))) x)
(* x (- (+ (/ 1 (+ (exp wj) (* wj (exp wj)))) (/ wj x)) (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))))
(*.f64 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) wj)) wj wj) x) (/.f64 (exp.f64 (neg.f64 wj)) (+.f64 #s(literal 1 binary64) wj))) x)
(* x (- (+ (/ 1 (+ (exp wj) (* wj (exp wj)))) (/ wj x)) (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))))
(*.f64 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) wj)) wj wj) x) (/.f64 (exp.f64 (neg.f64 wj)) (+.f64 #s(literal 1 binary64) wj))) x)
(* -1 (/ x (+ (exp wj) (* wj (exp wj)))))
(/.f64 (/.f64 x (exp.f64 wj)) (-.f64 #s(literal -1 binary64) wj))
(* x (- (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj))))) (/ 1 (+ (exp wj) (* wj (exp wj))))))
(*.f64 (fma.f64 (/.f64 wj (fma.f64 wj x x)) #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 wj)) (-.f64 #s(literal -1 binary64) wj))) x)
(* x (- (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj))))) (/ 1 (+ (exp wj) (* wj (exp wj))))))
(*.f64 (fma.f64 (/.f64 wj (fma.f64 wj x x)) #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 wj)) (-.f64 #s(literal -1 binary64) wj))) x)
(* x (- (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj))))) (/ 1 (+ (exp wj) (* wj (exp wj))))))
(*.f64 (fma.f64 (/.f64 wj (fma.f64 wj x x)) #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 wj)) (-.f64 #s(literal -1 binary64) wj))) x)
(* -1 (/ x (* (exp wj) (+ 1 wj))))
(/.f64 (/.f64 x (exp.f64 wj)) (-.f64 #s(literal -1 binary64) wj))
(* -1 (/ x (* (exp wj) (+ 1 wj))))
(/.f64 (/.f64 x (exp.f64 wj)) (-.f64 #s(literal -1 binary64) wj))
(* -1 (/ x (* (exp wj) (+ 1 wj))))
(/.f64 (/.f64 x (exp.f64 wj)) (-.f64 #s(literal -1 binary64) wj))
(* -1 (/ x (* (exp wj) (+ 1 wj))))
(/.f64 (/.f64 x (exp.f64 wj)) (-.f64 #s(literal -1 binary64) wj))
(/ x (+ (exp wj) (* wj (exp wj))))
(/.f64 x (fma.f64 (exp.f64 wj) wj (exp.f64 wj)))
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(*.f64 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) wj)) wj wj) x) (/.f64 (exp.f64 (neg.f64 wj)) (+.f64 #s(literal 1 binary64) wj))) x)
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(*.f64 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) wj)) wj wj) x) (/.f64 (exp.f64 (neg.f64 wj)) (+.f64 #s(literal 1 binary64) wj))) x)
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(*.f64 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) wj)) wj wj) x) (/.f64 (exp.f64 (neg.f64 wj)) (+.f64 #s(literal 1 binary64) wj))) x)
(* -1 (* x (- (* wj (+ 2 (* -5/2 wj))) 1)))
(fma.f64 (*.f64 (fma.f64 #s(literal -5/2 binary64) wj #s(literal 2 binary64)) wj) (neg.f64 x) x)
(* -1 (* x (- (+ (* -1 (/ (pow wj 2) x)) (* wj (+ 2 (* -5/2 wj)))) 1)))
(*.f64 (fma.f64 wj (fma.f64 #s(literal -5/2 binary64) wj (-.f64 #s(literal 2 binary64) (/.f64 wj x))) #s(literal -1 binary64)) (neg.f64 x))
(* -1 (* x (- (+ (* -1 (/ (pow wj 2) x)) (* wj (+ 2 (* -5/2 wj)))) 1)))
(*.f64 (fma.f64 wj (fma.f64 #s(literal -5/2 binary64) wj (-.f64 #s(literal 2 binary64) (/.f64 wj x))) #s(literal -1 binary64)) (neg.f64 x))
(* -1 (* x (- (+ (* -1 (/ (pow wj 2) x)) (* wj (+ 2 (* -5/2 wj)))) 1)))
(*.f64 (fma.f64 wj (fma.f64 #s(literal -5/2 binary64) wj (-.f64 #s(literal 2 binary64) (/.f64 wj x))) #s(literal -1 binary64)) (neg.f64 x))
(* -1 (* x (+ 2 (* -5/2 wj))))
(*.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x)
(* -1 (* x (+ 2 (+ (* -5/2 wj) (* -1 (/ wj x))))))
(*.f64 (fma.f64 #s(literal -5/2 binary64) wj (-.f64 #s(literal 2 binary64) (/.f64 wj x))) (neg.f64 x))
(* -1 (* x (+ 2 (+ (* -5/2 wj) (* -1 (/ wj x))))))
(*.f64 (fma.f64 #s(literal -5/2 binary64) wj (-.f64 #s(literal 2 binary64) (/.f64 wj x))) (neg.f64 x))
(* -1 (* x (+ 2 (+ (* -5/2 wj) (* -1 (/ wj x))))))
(*.f64 (fma.f64 #s(literal -5/2 binary64) wj (-.f64 #s(literal 2 binary64) (/.f64 wj x))) (neg.f64 x))
(* 5/2 x)
(*.f64 #s(literal 5/2 binary64) x)
(* x (+ 5/2 (/ 1 x)))
(fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64))
(* x (+ 5/2 (/ 1 x)))
(fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64))
(* x (+ 5/2 (/ 1 x)))
(fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64))
(/ x (+ (exp wj) (* wj (exp wj))))
(/.f64 x (fma.f64 (exp.f64 wj) wj (exp.f64 wj)))
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(*.f64 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) wj)) wj wj) x) (/.f64 (exp.f64 (neg.f64 wj)) (+.f64 #s(literal 1 binary64) wj))) x)
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(*.f64 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) wj)) wj wj) x) (/.f64 (exp.f64 (neg.f64 wj)) (+.f64 #s(literal 1 binary64) wj))) x)
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(*.f64 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) wj)) wj wj) x) (/.f64 (exp.f64 (neg.f64 wj)) (+.f64 #s(literal 1 binary64) wj))) x)
(* -1 (* x (- (* wj (+ 2 (* -5/2 wj))) 1)))
(fma.f64 (*.f64 (fma.f64 #s(literal -5/2 binary64) wj #s(literal 2 binary64)) wj) (neg.f64 x) x)
(* -1 (* x (- (+ (* -1 (/ (pow wj 2) x)) (* wj (+ 2 (* -5/2 wj)))) 1)))
(*.f64 (fma.f64 wj (fma.f64 #s(literal -5/2 binary64) wj (-.f64 #s(literal 2 binary64) (/.f64 wj x))) #s(literal -1 binary64)) (neg.f64 x))
(* -1 (* x (- (+ (* -1 (/ (pow wj 2) x)) (* wj (+ 2 (* -5/2 wj)))) 1)))
(*.f64 (fma.f64 wj (fma.f64 #s(literal -5/2 binary64) wj (-.f64 #s(literal 2 binary64) (/.f64 wj x))) #s(literal -1 binary64)) (neg.f64 x))
(* -1 (* x (- (+ (* -1 (/ (pow wj 2) x)) (* wj (+ 2 (* -5/2 wj)))) 1)))
(*.f64 (fma.f64 wj (fma.f64 #s(literal -5/2 binary64) wj (-.f64 #s(literal 2 binary64) (/.f64 wj x))) #s(literal -1 binary64)) (neg.f64 x))
(/ x (+ (exp wj) (* wj (exp wj))))
(/.f64 x (fma.f64 (exp.f64 wj) wj (exp.f64 wj)))
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(*.f64 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) wj)) wj wj) x) (/.f64 (exp.f64 (neg.f64 wj)) (+.f64 #s(literal 1 binary64) wj))) x)
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(*.f64 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) wj)) wj wj) x) (/.f64 (exp.f64 (neg.f64 wj)) (+.f64 #s(literal 1 binary64) wj))) x)
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(*.f64 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) wj)) wj wj) x) (/.f64 (exp.f64 (neg.f64 wj)) (+.f64 #s(literal 1 binary64) wj))) x)
(* -1 (* x (- (* 2 wj) 1)))
(*.f64 (fma.f64 wj #s(literal -2 binary64) #s(literal 1 binary64)) x)
(* -1 (* x (- (* 2 wj) 1)))
(*.f64 (fma.f64 wj #s(literal -2 binary64) #s(literal 1 binary64)) x)
(* -1 (* x (- (* 2 wj) 1)))
(*.f64 (fma.f64 wj #s(literal -2 binary64) #s(literal 1 binary64)) x)
(* -1 (* x (- (* 2 wj) 1)))
(*.f64 (fma.f64 wj #s(literal -2 binary64) #s(literal 1 binary64)) x)
(* -2 (* wj x))
(.f64 (.f64 wj #s(literal -2 binary64)) x)
(* -2 (* wj x))
(.f64 (.f64 wj #s(literal -2 binary64)) x)
(* -2 (* wj x))
(.f64 (.f64 wj #s(literal -2 binary64)) x)
(* -2 (* wj x))
(.f64 (.f64 wj #s(literal -2 binary64)) x)
(/ x (+ (exp wj) (* wj (exp wj))))
(/.f64 x (fma.f64 (exp.f64 wj) wj (exp.f64 wj)))
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(*.f64 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) wj)) wj wj) x) (/.f64 (exp.f64 (neg.f64 wj)) (+.f64 #s(literal 1 binary64) wj))) x)
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(*.f64 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) wj)) wj wj) x) (/.f64 (exp.f64 (neg.f64 wj)) (+.f64 #s(literal 1 binary64) wj))) x)
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(*.f64 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) wj)) wj wj) x) (/.f64 (exp.f64 (neg.f64 wj)) (+.f64 #s(literal 1 binary64) wj))) x)
(* -1 (* x (- (* wj (+ 2 (* -5/2 wj))) 1)))
(fma.f64 (*.f64 (fma.f64 #s(literal -5/2 binary64) wj #s(literal 2 binary64)) wj) (neg.f64 x) x)
(* -1 (* x (- (+ (* -1 (/ (pow wj 2) x)) (* wj (+ 2 (* -5/2 wj)))) 1)))
(*.f64 (fma.f64 wj (fma.f64 #s(literal -5/2 binary64) wj (-.f64 #s(literal 2 binary64) (/.f64 wj x))) #s(literal -1 binary64)) (neg.f64 x))
(* -1 (* x (- (+ (* -1 (/ (pow wj 2) x)) (* wj (+ 2 (* -5/2 wj)))) 1)))
(*.f64 (fma.f64 wj (fma.f64 #s(literal -5/2 binary64) wj (-.f64 #s(literal 2 binary64) (/.f64 wj x))) #s(literal -1 binary64)) (neg.f64 x))
(* -1 (* x (- (+ (* -1 (/ (pow wj 2) x)) (* wj (+ 2 (* -5/2 wj)))) 1)))
(*.f64 (fma.f64 wj (fma.f64 #s(literal -5/2 binary64) wj (-.f64 #s(literal 2 binary64) (/.f64 wj x))) #s(literal -1 binary64)) (neg.f64 x))
(* -1 (* x (+ 2 (* -5/2 wj))))
(*.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x)
(* -1 (* x (+ 2 (+ (* -5/2 wj) (* -1 (/ wj x))))))
(*.f64 (fma.f64 #s(literal -5/2 binary64) wj (-.f64 #s(literal 2 binary64) (/.f64 wj x))) (neg.f64 x))
(* -1 (* x (+ 2 (+ (* -5/2 wj) (* -1 (/ wj x))))))
(*.f64 (fma.f64 #s(literal -5/2 binary64) wj (-.f64 #s(literal 2 binary64) (/.f64 wj x))) (neg.f64 x))
(* -1 (* x (+ 2 (+ (* -5/2 wj) (* -1 (/ wj x))))))
(*.f64 (fma.f64 #s(literal -5/2 binary64) wj (-.f64 #s(literal 2 binary64) (/.f64 wj x))) (neg.f64 x))
(* x (- (* 5/2 wj) 2))
(*.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x)
(* x (- (* 5/2 wj) 2))
(*.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x)
(* x (- (* 5/2 wj) 2))
(*.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x)
(* x (- (* 5/2 wj) 2))
(*.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x)
(/ x (+ (exp wj) (* wj (exp wj))))
(/.f64 x (fma.f64 (exp.f64 wj) wj (exp.f64 wj)))
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(*.f64 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) wj)) wj wj) x) (/.f64 (exp.f64 (neg.f64 wj)) (+.f64 #s(literal 1 binary64) wj))) x)
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(*.f64 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) wj)) wj wj) x) (/.f64 (exp.f64 (neg.f64 wj)) (+.f64 #s(literal 1 binary64) wj))) x)
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(*.f64 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) wj)) wj wj) x) (/.f64 (exp.f64 (neg.f64 wj)) (+.f64 #s(literal 1 binary64) wj))) x)
(* -1 (/ x (+ (exp wj) (* wj (exp wj)))))
(/.f64 (/.f64 x (exp.f64 wj)) (-.f64 #s(literal -1 binary64) wj))
(* -1 (* x (+ (* -1 (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(*.f64 (fma.f64 (/.f64 wj (fma.f64 wj x x)) #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 wj)) (-.f64 #s(literal -1 binary64) wj))) x)
(* -1 (* x (+ (* -1 (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(*.f64 (fma.f64 (/.f64 wj (fma.f64 wj x x)) #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 wj)) (-.f64 #s(literal -1 binary64) wj))) x)
(* -1 (* x (+ (* -1 (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(*.f64 (fma.f64 (/.f64 wj (fma.f64 wj x x)) #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 wj)) (-.f64 #s(literal -1 binary64) wj))) x)
(* -1 (/ x (* (exp wj) (+ 1 wj))))
(/.f64 (/.f64 x (exp.f64 wj)) (-.f64 #s(literal -1 binary64) wj))
(* -1 (/ x (* (exp wj) (+ 1 wj))))
(/.f64 (/.f64 x (exp.f64 wj)) (-.f64 #s(literal -1 binary64) wj))
(* -1 (/ x (* (exp wj) (+ 1 wj))))
(/.f64 (/.f64 x (exp.f64 wj)) (-.f64 #s(literal -1 binary64) wj))
(* -1 (/ x (* (exp wj) (+ 1 wj))))
(/.f64 (/.f64 x (exp.f64 wj)) (-.f64 #s(literal -1 binary64) wj))

rewrite193.0ms (2.1%)

Memory

7.2MiB live, 206.0MiB allocated

Rules

6 198×	`lower-fma.f32`
6 190×	`lower-fma.f64`
4 706×	`lower-*.f32`
4 694×	`lower-*.f64`
4 458×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	328
0	65	322
1	270	317
2	2103	317
0	8785	299

Stop Event

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

Counts

20 → 268

Calls

Call 1

Inputs
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) 1) #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x)) wj x))
(fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) 1) #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x)) wj x)
(fma.f64 #s(approx (+ (* 5/2 x) 1) #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x))
#s(approx (+ (* 5/2 x) 1) #s(literal 1 binary64))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) wj) x) (*.f64 wj wj)))
#s(approx (+ (* (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) wj) x) (*.f64 wj wj))
(*.f64 wj wj)
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (* wj x) -2) x) (.f64 (.f64 wj #s(literal -2 binary64)) x)))
#s(approx (+ (* (* wj x) -2) x) (.f64 (.f64 wj #s(literal -2 binary64)) x))
(.f64 (.f64 wj #s(literal -2 binary64)) x)
(*.f64 wj #s(literal -2 binary64))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 #s(approx (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) (*.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x)) wj x))
(fma.f64 #s(approx (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) (*.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x)) wj x)
#s(approx (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) (*.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x))
(*.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x)
(neg.f64 (+.f64 wj #s(literal 1 binary64)))
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (*.f64 (neg.f64 (+.f64 wj #s(literal 1 binary64))) (exp.f64 wj)))))
#s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (*.f64 (neg.f64 (+.f64 wj #s(literal 1 binary64))) (exp.f64 wj))))
(*.f64 (neg.f64 (+.f64 wj #s(literal 1 binary64))) (exp.f64 wj))
(/.f64 x (*.f64 (neg.f64 (+.f64 wj #s(literal 1 binary64))) (exp.f64 wj)))

Outputs
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eval80.0ms (0.9%)

Memory: 20.3MiB live, 139.0MiB allocated
Compiler: Compiled 11 759 to 1 523 computations (87% saved)

prune27.0ms (0.3%)

Memory

-22.2MiB live, 59.7MiB allocated

Pruning

16 alts after pruning (10 fresh and 6 done)

	Pruned	Kept	Total
New	661	6	667
Fresh	0	4	4
Picked	1	4	5
Done	0	2	2
Total	662	16	678

Accuracy

99.9%

Counts

678 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	71.5%	(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (*.f64 (-.f64 #s(literal -1 binary64) wj) (exp.f64 wj)))))
	6.1%	(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (*.f64 #s(approx (neg (+ wj 1)) (neg.f64 wj)) (exp.f64 wj)))))
▶	68.7%	(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (*.f64 #s(approx (neg (+ wj 1)) #s(literal -1 binary64)) (exp.f64 wj)))))
	69.3%	(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x #s(approx (* (neg (+ wj 1)) (exp wj)) (fma.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) wj #s(literal -3/2 binary64)) wj #s(literal -2 binary64)) wj #s(literal -1 binary64))))))
▶	69.2%	(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x #s(approx (* (neg (+ wj 1)) (exp wj)) (fma.f64 (fma.f64 #s(literal -3/2 binary64) wj #s(literal -2 binary64)) wj #s(literal -1 binary64))))))
	69.2%	(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x #s(approx (* (neg (+ wj 1)) (exp wj)) (fma.f64 wj #s(literal -2 binary64) #s(literal -1 binary64))))))
▶	6.4%	(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))))
▶	68.6%	(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x)))
✓	4.0%	(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64)))
▶	89.2%	#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj) #s(literal 2 binary64))) (fma.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj #s(literal 1 binary64)))) wj (.f64 #s(literal -2 binary64) x)) wj x))
✓	95.3%	#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) 1) #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x)) wj x))
✓	81.8%	#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (*.f64 wj x) #s(literal -2 binary64) x))
✓	81.8%	#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 #s(approx (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) (*.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x)) wj x))
	15.9%	#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (.f64 (.f64 (-.f64 #s(literal 1 binary64) wj) wj) wj)))
✓	16.0%	#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) wj) x) (*.f64 wj wj)))
✓	4.2%	#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (* wj x) -2) x) (.f64 (.f64 wj #s(literal -2 binary64)) x)))

Compiler

Compiled 291 to 237 computations (18.6% saved)

simplify157.0ms (1.7%)

Memory

29.8MiB live, 180.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
cost-diff	0	#s(approx (neg (+ wj 1)) #s(literal -1 binary64))
cost-diff	0	(*.f64 #s(approx (neg (+ wj 1)) #s(literal -1 binary64)) (exp.f64 wj))
cost-diff	0	#s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (*.f64 #s(approx (neg (+ wj 1)) #s(literal -1 binary64)) (exp.f64 wj))))
cost-diff	0	(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (*.f64 #s(approx (neg (+ wj 1)) #s(literal -1 binary64)) (exp.f64 wj)))))
cost-diff	0	#s(approx (* (neg (+ wj 1)) (exp wj)) (fma.f64 (fma.f64 #s(literal -3/2 binary64) wj #s(literal -2 binary64)) wj #s(literal -1 binary64)))
cost-diff	0	(/.f64 x #s(approx (* (neg (+ wj 1)) (exp wj)) (fma.f64 (fma.f64 #s(literal -3/2 binary64) wj #s(literal -2 binary64)) wj #s(literal -1 binary64))))
cost-diff	0	#s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x #s(approx (* (neg (+ wj 1)) (exp wj)) (fma.f64 (fma.f64 #s(literal -3/2 binary64) wj #s(literal -2 binary64)) wj #s(literal -1 binary64)))))
cost-diff	0	(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x #s(approx (* (neg (+ wj 1)) (exp wj)) (fma.f64 (fma.f64 #s(literal -3/2 binary64) wj #s(literal -2 binary64)) wj #s(literal -1 binary64))))))
cost-diff	0	(+.f64 #s(literal 1 binary64) wj)
cost-diff	0	(/.f64 wj (+.f64 #s(literal 1 binary64) wj))
cost-diff	0	#s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj)))
cost-diff	0	(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))))
cost-diff	0	(neg.f64 x)
cost-diff	0	#s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x))
cost-diff	0	(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x)))
cost-diff	0	(fma.f64 #s(literal 5/2 binary64) x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj) #s(literal 2 binary64))) (fma.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj #s(literal 1 binary64))))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 5/2 binary64) x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj) #s(literal 2 binary64))) (fma.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj #s(literal 1 binary64)))) wj (.f64 #s(literal -2 binary64) x))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj) #s(literal 2 binary64))) (fma.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj #s(literal 1 binary64)))) wj (.f64 #s(literal -2 binary64) x)) wj x)
cost-diff	0	#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj) #s(literal 2 binary64))) (fma.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj #s(literal 1 binary64)))) wj (.f64 #s(literal -2 binary64) x)) wj x))

Rules

17 976×	`lower-fma.f32`
17 962×	`lower-fma.f64`
3 768×	`lower-*.f32`
3 762×	`lower-*.f64`
3 172×	`lower-+.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	48	476
0	78	467
1	133	458
2	265	458
3	817	431
4	2517	431
5	7516	431
0	8155	431

Stop Event

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

Calls

Call 1

Inputs
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj) #s(literal 2 binary64))) (fma.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj #s(literal 1 binary64)))) wj (.f64 #s(literal -2 binary64) x)) wj x))
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj) #s(literal 2 binary64))) (fma.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj #s(literal 1 binary64)))) wj (.f64 #s(literal -2 binary64) x)) wj x)
(fma.f64 (fma.f64 #s(literal 5/2 binary64) x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj) #s(literal 2 binary64))) (fma.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj #s(literal 1 binary64)))) wj (.f64 #s(literal -2 binary64) x))
(fma.f64 #s(literal 5/2 binary64) x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj) #s(literal 2 binary64))) (fma.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj #s(literal 1 binary64))))
#s(literal 5/2 binary64)
x
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj) #s(literal 2 binary64))) (fma.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (*.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj) #s(literal 2 binary64))
(*.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj)
(fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))
#s(literal 8/3 binary64)
wj
#s(literal 2 binary64)
(fma.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj #s(literal 1 binary64))
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x)))
wj
#s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x))
(neg.f64 x)
x
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))))
wj
#s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj)))
(/.f64 wj (+.f64 #s(literal 1 binary64) wj))
(+.f64 #s(literal 1 binary64) wj)
#s(literal 1 binary64)
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x #s(approx (* (neg (+ wj 1)) (exp wj)) (fma.f64 (fma.f64 #s(literal -3/2 binary64) wj #s(literal -2 binary64)) wj #s(literal -1 binary64))))))
wj
#s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x #s(approx (* (neg (+ wj 1)) (exp wj)) (fma.f64 (fma.f64 #s(literal -3/2 binary64) wj #s(literal -2 binary64)) wj #s(literal -1 binary64)))))
(/.f64 x #s(approx (* (neg (+ wj 1)) (exp wj)) (fma.f64 (fma.f64 #s(literal -3/2 binary64) wj #s(literal -2 binary64)) wj #s(literal -1 binary64))))
x
#s(approx (* (neg (+ wj 1)) (exp wj)) (fma.f64 (fma.f64 #s(literal -3/2 binary64) wj #s(literal -2 binary64)) wj #s(literal -1 binary64)))
(fma.f64 (fma.f64 #s(literal -3/2 binary64) wj #s(literal -2 binary64)) wj #s(literal -1 binary64))
(fma.f64 #s(literal -3/2 binary64) wj #s(literal -2 binary64))
#s(literal -3/2 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (*.f64 #s(approx (neg (+ wj 1)) #s(literal -1 binary64)) (exp.f64 wj)))))
wj
#s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (*.f64 #s(approx (neg (+ wj 1)) #s(literal -1 binary64)) (exp.f64 wj))))
(/.f64 x (*.f64 #s(approx (neg (+ wj 1)) #s(literal -1 binary64)) (exp.f64 wj)))
x
(*.f64 #s(approx (neg (+ wj 1)) #s(literal -1 binary64)) (exp.f64 wj))
#s(approx (neg (+ wj 1)) #s(literal -1 binary64))
#s(literal -1 binary64)
(exp.f64 wj)

Outputs
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj) #s(literal 2 binary64))) (fma.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj #s(literal 1 binary64)))) wj (.f64 #s(literal -2 binary64) x)) wj x))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x (.f64 (/.f64 wj (fma.f64 (fma.f64 #s(literal 8/3 binary64) x #s(literal 1 binary64)) wj #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 #s(literal 8/3 binary64) x #s(literal 1 binary64)) wj) #s(literal 2 binary64))))) wj x))
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj) #s(literal 2 binary64))) (fma.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj #s(literal 1 binary64)))) wj (.f64 #s(literal -2 binary64) x)) wj x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x (.f64 (/.f64 wj (fma.f64 (fma.f64 #s(literal 8/3 binary64) x #s(literal 1 binary64)) wj #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 #s(literal 8/3 binary64) x #s(literal 1 binary64)) wj) #s(literal 2 binary64))))) wj x)
(fma.f64 (fma.f64 #s(literal 5/2 binary64) x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj) #s(literal 2 binary64))) (fma.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj #s(literal 1 binary64)))) wj (.f64 #s(literal -2 binary64) x))
(fma.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x (.f64 (/.f64 wj (fma.f64 (fma.f64 #s(literal 8/3 binary64) x #s(literal 1 binary64)) wj #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 #s(literal 8/3 binary64) x #s(literal 1 binary64)) wj) #s(literal 2 binary64)))))
(fma.f64 #s(literal 5/2 binary64) x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj) #s(literal 2 binary64))) (fma.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj #s(literal 1 binary64))))
(fma.f64 #s(literal 5/2 binary64) x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 8/3 binary64) x #s(literal 1 binary64)) wj) #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal 8/3 binary64) x #s(literal 1 binary64)) wj #s(literal 1 binary64))))
#s(literal 5/2 binary64)
x
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj) #s(literal 2 binary64))) (fma.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 8/3 binary64) x #s(literal 1 binary64)) wj) #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal 8/3 binary64) x #s(literal 1 binary64)) wj #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj) #s(literal 2 binary64)))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 8/3 binary64) x #s(literal 1 binary64)) wj) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (*.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj) #s(literal 2 binary64))
(pow.f64 (*.f64 (fma.f64 #s(literal 8/3 binary64) x #s(literal 1 binary64)) wj) #s(literal 2 binary64))
(*.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj)
(*.f64 (fma.f64 #s(literal 8/3 binary64) x #s(literal 1 binary64)) wj)
(fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 8/3 binary64) x #s(literal 1 binary64))
#s(literal 8/3 binary64)
wj
#s(literal 2 binary64)
(fma.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 8/3 binary64) x #s(literal 1 binary64)) wj #s(literal 1 binary64))
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x)))
wj
#s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x))
(neg.f64 x)
x
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))))
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (-.f64 wj #s(literal -1 binary64)))))
wj
#s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj)))
#s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (-.f64 wj #s(literal -1 binary64))))
(/.f64 wj (+.f64 #s(literal 1 binary64) wj))
(/.f64 wj (-.f64 wj #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) wj)
(-.f64 wj #s(literal -1 binary64))
#s(literal 1 binary64)
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x #s(approx (* (neg (+ wj 1)) (exp wj)) (fma.f64 (fma.f64 #s(literal -3/2 binary64) wj #s(literal -2 binary64)) wj #s(literal -1 binary64))))))
wj
#s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x #s(approx (* (neg (+ wj 1)) (exp wj)) (fma.f64 (fma.f64 #s(literal -3/2 binary64) wj #s(literal -2 binary64)) wj #s(literal -1 binary64)))))
(/.f64 x #s(approx (* (neg (+ wj 1)) (exp wj)) (fma.f64 (fma.f64 #s(literal -3/2 binary64) wj #s(literal -2 binary64)) wj #s(literal -1 binary64))))
x
#s(approx (* (neg (+ wj 1)) (exp wj)) (fma.f64 (fma.f64 #s(literal -3/2 binary64) wj #s(literal -2 binary64)) wj #s(literal -1 binary64)))
(fma.f64 (fma.f64 #s(literal -3/2 binary64) wj #s(literal -2 binary64)) wj #s(literal -1 binary64))
(fma.f64 #s(literal -3/2 binary64) wj #s(literal -2 binary64))
#s(literal -3/2 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (*.f64 #s(approx (neg (+ wj 1)) #s(literal -1 binary64)) (exp.f64 wj)))))
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 (/.f64 x (exp.f64 wj)) #s(approx (neg (+ wj 1)) #s(literal -1 binary64)))))
wj
#s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (*.f64 #s(approx (neg (+ wj 1)) #s(literal -1 binary64)) (exp.f64 wj))))
#s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 (/.f64 x (exp.f64 wj)) #s(approx (neg (+ wj 1)) #s(literal -1 binary64))))
(/.f64 x (*.f64 #s(approx (neg (+ wj 1)) #s(literal -1 binary64)) (exp.f64 wj)))
(/.f64 (/.f64 x (exp.f64 wj)) #s(approx (neg (+ wj 1)) #s(literal -1 binary64)))
x
(*.f64 #s(approx (neg (+ wj 1)) #s(literal -1 binary64)) (exp.f64 wj))
#s(approx (neg (+ wj 1)) #s(literal -1 binary64))
#s(literal -1 binary64)
(exp.f64 wj)

localize161.0ms (1.7%)

Memory

16.1MiB live, 206.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0234375	(*.f64 #s(approx (neg (+ wj 1)) #s(literal -1 binary64)) (exp.f64 wj))
accuracy	3.2838984681231786	#s(approx (neg (+ wj 1)) #s(literal -1 binary64))
accuracy	15.791486549021545	(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (*.f64 #s(approx (neg (+ wj 1)) #s(literal -1 binary64)) (exp.f64 wj)))))
accuracy	18.715184090876534	#s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (*.f64 #s(approx (neg (+ wj 1)) #s(literal -1 binary64)) (exp.f64 wj))))
accuracy	0.01953125	(fma.f64 (fma.f64 #s(literal -3/2 binary64) wj #s(literal -2 binary64)) wj #s(literal -1 binary64))
accuracy	2.8423222044098932	#s(approx (* (neg (+ wj 1)) (exp wj)) (fma.f64 (fma.f64 #s(literal -3/2 binary64) wj #s(literal -2 binary64)) wj #s(literal -1 binary64)))
accuracy	15.791486549021545	(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x #s(approx (* (neg (+ wj 1)) (exp wj)) (fma.f64 (fma.f64 #s(literal -3/2 binary64) wj #s(literal -2 binary64)) wj #s(literal -1 binary64))))))
accuracy	18.715184090876534	#s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x #s(approx (* (neg (+ wj 1)) (exp wj)) (fma.f64 (fma.f64 #s(literal -3/2 binary64) wj #s(literal -2 binary64)) wj #s(literal -1 binary64)))))
accuracy	0	(+.f64 #s(literal 1 binary64) wj)
accuracy	0.0078125	(/.f64 wj (+.f64 #s(literal 1 binary64) wj))
accuracy	15.791486549021545	(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))))
accuracy	43.83523146183989	#s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj)))
accuracy	0	(neg.f64 x)
accuracy	15.791486549021545	(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x)))
accuracy	20.54385729173733	#s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x))
accuracy	0.17416000976844204	(pow.f64 (*.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj) #s(literal 2 binary64))
accuracy	0.17578125	(fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))
accuracy	3.017313738746143	#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj) #s(literal 2 binary64))) (fma.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj #s(literal 1 binary64)))) wj (.f64 #s(literal -2 binary64) x)) wj x))
accuracy	4.5472851303286	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj) #s(literal 2 binary64))) (fma.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj #s(literal 1 binary64)))

Samples

81.0ms	75×	1	valid
49.0ms	177×	0	valid
3.0ms	4×	2	valid

Compiler

Compiled 375 to 42 computations (88.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 108.0ms

ival-add: 46.0ms (42.8% of total)

ival-mult: 18.0ms (16.7% of total)

adjust: 15.0ms (13.9% of total)

ival-div: 8.0ms (7.4% of total)

ival-sub: 6.0ms (5.6% of total)

ival-exp: 5.0ms (4.6% of total)

const: 4.0ms (3.7% of total)

ival-pow2: 3.0ms (2.8% of total)

ival-neg: 2.0ms (1.9% of total)

exact: 1.0ms (0.9% of total)

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

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

series63.0ms (0.7%)

Memory

-31.3MiB live, 82.7MiB allocated

Counts

23 → 456

Calls

Call 1

Inputs
#s(alt #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj) #s(literal 2 binary64))) (fma.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj #s(literal 1 binary64)))) wj (.f64 #s(literal -2 binary64) x)) wj x)) (patch #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj) #s(literal 2 binary64))) (fma.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj #s(literal 1 binary64)))) wj (.f64 #s(literal -2 binary64) x)) wj x)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj) #s(literal 2 binary64))) (fma.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj #s(literal 1 binary64)))) wj (.f64 #s(literal -2 binary64) x)) wj x) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj) #s(literal 2 binary64))) (fma.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj #s(literal 1 binary64)))) wj (.f64 #s(literal -2 binary64) x)) wj x) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj) #s(literal 2 binary64))) (fma.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj #s(literal 1 binary64)))) wj (.f64 #s(literal -2 binary64) x)) (patch (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj) #s(literal 2 binary64))) (fma.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj #s(literal 1 binary64)))) wj (.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 5/2 binary64) x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj) #s(literal 2 binary64))) (fma.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj #s(literal 1 binary64)))) (patch (fma.f64 #s(literal 5/2 binary64) x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj) #s(literal 2 binary64))) (fma.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x))) (patch (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x)) (patch #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x)) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj)))) (patch (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) (patch #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) #<representation binary64>) () ())
#s(alt (/.f64 wj (+.f64 #s(literal 1 binary64) wj)) (patch (/.f64 wj (+.f64 #s(literal 1 binary64) wj)) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) wj) (patch (+.f64 #s(literal 1 binary64) wj) #<representation binary64>) () ())
#s(alt (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x #s(approx (* (neg (+ wj 1)) (exp wj)) (fma.f64 (fma.f64 #s(literal -3/2 binary64) wj #s(literal -2 binary64)) wj #s(literal -1 binary64)))))) (patch (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x #s(approx (* (neg (+ wj 1)) (exp wj)) (fma.f64 (fma.f64 #s(literal -3/2 binary64) wj #s(literal -2 binary64)) wj #s(literal -1 binary64)))))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x #s(approx (* (neg (+ wj 1)) (exp wj)) (fma.f64 (fma.f64 #s(literal -3/2 binary64) wj #s(literal -2 binary64)) wj #s(literal -1 binary64))))) (patch #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x #s(approx (* (neg (+ wj 1)) (exp wj)) (fma.f64 (fma.f64 #s(literal -3/2 binary64) wj #s(literal -2 binary64)) wj #s(literal -1 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 x #s(approx (* (neg (+ wj 1)) (exp wj)) (fma.f64 (fma.f64 #s(literal -3/2 binary64) wj #s(literal -2 binary64)) wj #s(literal -1 binary64)))) (patch (/.f64 x #s(approx (* (neg (+ wj 1)) (exp wj)) (fma.f64 (fma.f64 #s(literal -3/2 binary64) wj #s(literal -2 binary64)) wj #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (* (neg (+ wj 1)) (exp wj)) (fma.f64 (fma.f64 #s(literal -3/2 binary64) wj #s(literal -2 binary64)) wj #s(literal -1 binary64))) (patch #s(approx (* (neg (+ wj 1)) (exp wj)) (fma.f64 (fma.f64 #s(literal -3/2 binary64) wj #s(literal -2 binary64)) wj #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (.f64 #s(approx (neg (+ wj 1)) #s(literal -1 binary64)) (exp.f64 wj))))) (patch (-.f64 wj #s(approx (/ (- ( wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (*.f64 #s(approx (neg (+ wj 1)) #s(literal -1 binary64)) (exp.f64 wj))))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (.f64 #s(approx (neg (+ wj 1)) #s(literal -1 binary64)) (exp.f64 wj)))) (patch #s(approx (/ (- ( wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (*.f64 #s(approx (neg (+ wj 1)) #s(literal -1 binary64)) (exp.f64 wj)))) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (neg (+ wj 1)) #s(literal -1 binary64)) (exp.f64 wj)) (patch (.f64 #s(approx (neg (+ wj 1)) #s(literal -1 binary64)) (exp.f64 wj)) #<representation binary64>) () ())
#s(alt #s(approx (neg (+ wj 1)) #s(literal -1 binary64)) (patch #s(approx (neg (+ wj 1)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj) #s(literal 2 binary64))) (fma.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj #s(literal 1 binary64))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj) #s(literal 2 binary64))) (fma.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) (patch (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj) #s(literal 2 binary64)) (patch (pow.f64 (.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal -3/2 binary64) wj #s(literal -2 binary64)) wj #s(literal -1 binary64)) (patch (fma.f64 (fma.f64 #s(literal -3/2 binary64) wj #s(literal -2 binary64)) wj #s(literal -1 binary64)) #<representation binary64>) () ())

Outputs
#s(alt x (taylor 0 wj) (#s(alt #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj) #s(literal 2 binary64))) (fma.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj #s(literal 1 binary64)))) wj (.f64 #s(literal -2 binary64) x)) wj x)) (patch #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj) #s(literal 2 binary64))) (fma.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj #s(literal 1 binary64)))) wj (.f64 #s(literal -2 binary64) x)) wj x)) #<representation binary64>) () ())) ())
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#s(alt x (taylor 0 wj) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj) #s(literal 2 binary64))) (fma.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj #s(literal 1 binary64)))) wj (.f64 #s(literal -2 binary64) x)) wj x) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj) #s(literal 2 binary64))) (fma.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj #s(literal 1 binary64)))) wj (.f64 #s(literal -2 binary64) x)) wj x) #<representation binary64>) () ())) ())
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#s(alt (+ x (* wj (+ (* -2 x) (* wj (+ 1 (* 5/2 x)))))) (taylor 0 wj) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj) #s(literal 2 binary64))) (fma.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj #s(literal 1 binary64)))) wj (.f64 #s(literal -2 binary64) x)) wj x) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj) #s(literal 2 binary64))) (fma.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj #s(literal 1 binary64)))) wj (.f64 #s(literal -2 binary64) x)) wj x) #<representation binary64>) () ())) ())
#s(alt (+ x (* wj (+ (* -2 x) (* wj (+ 1 (+ (* -1 (* wj (+ 1 (* 8/3 x)))) (* 5/2 x))))))) (taylor 0 wj) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj) #s(literal 2 binary64))) (fma.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj #s(literal 1 binary64)))) wj (.f64 #s(literal -2 binary64) x)) wj x) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj) #s(literal 2 binary64))) (fma.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj #s(literal 1 binary64)))) wj (.f64 #s(literal -2 binary64) x)) wj x) #<representation binary64>) () ())) ())
#s(alt (* -2 x) (taylor 0 wj) (#s(alt (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj) #s(literal 2 binary64))) (fma.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj #s(literal 1 binary64)))) wj (.f64 #s(literal -2 binary64) x)) (patch (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj) #s(literal 2 binary64))) (fma.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj #s(literal 1 binary64)))) wj (.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ())
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#s(alt (+ (* -2 x) (* wj (+ 1 (+ (* -1 (* wj (+ 1 (* 8/3 x)))) (* 5/2 x))))) (taylor 0 wj) (#s(alt (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj) #s(literal 2 binary64))) (fma.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj #s(literal 1 binary64)))) wj (.f64 #s(literal -2 binary64) x)) (patch (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj) #s(literal 2 binary64))) (fma.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj #s(literal 1 binary64)))) wj (.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 x) (* wj (+ 1 (+ (* 5/2 x) (* wj (+ (* -1 (* wj (+ (* -1 (pow (+ 1 (* 8/3 x)) 2)) (pow (+ 1 (* 8/3 x)) 2)))) (* -1 (+ 1 (* 8/3 x))))))))) (taylor 0 wj) (#s(alt (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj) #s(literal 2 binary64))) (fma.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj #s(literal 1 binary64)))) wj (.f64 #s(literal -2 binary64) x)) (patch (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj) #s(literal 2 binary64))) (fma.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj #s(literal 1 binary64)))) wj (.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 5/2 x)) (taylor 0 wj) (#s(alt (fma.f64 #s(literal 5/2 binary64) x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj) #s(literal 2 binary64))) (fma.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj #s(literal 1 binary64)))) (patch (fma.f64 #s(literal 5/2 binary64) x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj) #s(literal 2 binary64))) (fma.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 (* wj (+ 1 (* 8/3 x)))) (* 5/2 x))) (taylor 0 wj) (#s(alt (fma.f64 #s(literal 5/2 binary64) x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj) #s(literal 2 binary64))) (fma.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj #s(literal 1 binary64)))) (patch (fma.f64 #s(literal 5/2 binary64) x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj) #s(literal 2 binary64))) (fma.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* 5/2 x) (* wj (- (* -1 (* wj (+ (* -1 (pow (+ 1 (* 8/3 x)) 2)) (pow (+ 1 (* 8/3 x)) 2)))) (+ 1 (* 8/3 x)))))) (taylor 0 wj) (#s(alt (fma.f64 #s(literal 5/2 binary64) x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj) #s(literal 2 binary64))) (fma.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj #s(literal 1 binary64)))) (patch (fma.f64 #s(literal 5/2 binary64) x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj) #s(literal 2 binary64))) (fma.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* 5/2 x) (* wj (- (* -1 (* wj (+ (* -1 (pow (+ 1 (* 8/3 x)) 2)) (pow (+ 1 (* 8/3 x)) 2)))) (+ 1 (* 8/3 x)))))) (taylor 0 wj) (#s(alt (fma.f64 #s(literal 5/2 binary64) x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj) #s(literal 2 binary64))) (fma.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj #s(literal 1 binary64)))) (patch (fma.f64 #s(literal 5/2 binary64) x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj) #s(literal 2 binary64))) (fma.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 wj) (#s(alt (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x))) (patch (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -2 (* wj x))) (taylor 0 wj) (#s(alt (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x))) (patch (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x))) #<representation binary64>) () ())) ())
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#s(alt (+ x (* wj (- (* wj (- (+ 1 (* -1 (* wj (+ 1 (+ (* -3 x) (+ (* -2 (+ (* -4 x) (* 3/2 x))) (* 2/3 x))))))) (+ (* -4 x) (* 3/2 x)))) (* 2 x)))) (taylor 0 wj) (#s(alt (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x))) (patch (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 wj) (#s(alt #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x)) (patch #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 x) (* wj (- 1 (* -2 x)))) (taylor 0 wj) (#s(alt #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x)) (patch #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 x) (* wj (- (+ 1 (* wj (- 1 (+ (* -3/2 x) (* 2 (- 1 (* -2 x))))))) (* -2 x)))) (taylor 0 wj) (#s(alt #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x)) (patch #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x)) #<representation binary64>) () ())) ())
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#s(alt (* x (+ 8/3 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) (patch (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 64/9 (* (pow wj 2) (pow x 2))) (taylor -inf x) (#s(alt (pow.f64 (.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj) #s(literal 2 binary64)) (patch (pow.f64 (.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* 16/3 (/ (pow wj 2) x)) (* 64/9 (pow wj 2)))) (taylor -inf x) (#s(alt (pow.f64 (.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj) #s(literal 2 binary64)) (patch (pow.f64 (.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 (/ (+ (* -16/3 (pow wj 2)) (* -1 (/ (pow wj 2) x))) x)) (* 64/9 (pow wj 2)))) (taylor -inf x) (#s(alt (pow.f64 (.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj) #s(literal 2 binary64)) (patch (pow.f64 (.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 (/ (+ (* -16/3 (pow wj 2)) (* -1 (/ (pow wj 2) x))) x)) (* 64/9 (pow wj 2)))) (taylor -inf x) (#s(alt (pow.f64 (.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj) #s(literal 2 binary64)) (patch (pow.f64 (.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj) #s(literal 2 binary64)) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
9.0ms	wj	@	inf	((- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (+ (* (+ (* (+ (* 5/2 x) (/ (- 1 (pow (* (+ (* x 8/3) 1) wj) 2)) (+ (* (+ (* x 8/3) 1) wj) 1))) wj) (* -2 x)) wj) x) (+ (* (+ (* 5/2 x) (/ (- 1 (pow (* (+ (* x 8/3) 1) wj) 2)) (+ (* (+ (* x 8/3) 1) wj) 1))) wj) (* -2 x)) (+ (* 5/2 x) (/ (- 1 (pow (* (+ (* x 8/3) 1) wj) 2)) (+ (* (+ (* x 8/3) 1) wj) 1))) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg x) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/ wj (+ 1 wj)) (+ 1 wj) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/ x (* (neg (+ wj 1)) (exp wj))) (* (neg (+ wj 1)) (exp wj)) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (* (neg (+ wj 1)) (exp wj)) (neg (+ wj 1)) (/ (- 1 (pow (* (+ (* x 8/3) 1) wj) 2)) (+ (* (+ (* x 8/3) 1) wj) 1)) (+ (* x 8/3) 1) (pow (* (+ (* x 8/3) 1) wj) 2) (+ (* (+ (* -3/2 wj) -2) wj) -1))
7.0ms	x	@	-inf	((- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (+ (* (+ (* (+ (* 5/2 x) (/ (- 1 (pow (* (+ (* x 8/3) 1) wj) 2)) (+ (* (+ (* x 8/3) 1) wj) 1))) wj) (* -2 x)) wj) x) (+ (* (+ (* 5/2 x) (/ (- 1 (pow (* (+ (* x 8/3) 1) wj) 2)) (+ (* (+ (* x 8/3) 1) wj) 1))) wj) (* -2 x)) (+ (* 5/2 x) (/ (- 1 (pow (* (+ (* x 8/3) 1) wj) 2)) (+ (* (+ (* x 8/3) 1) wj) 1))) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg x) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/ wj (+ 1 wj)) (+ 1 wj) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/ x (* (neg (+ wj 1)) (exp wj))) (* (neg (+ wj 1)) (exp wj)) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (* (neg (+ wj 1)) (exp wj)) (neg (+ wj 1)) (/ (- 1 (pow (* (+ (* x 8/3) 1) wj) 2)) (+ (* (+ (* x 8/3) 1) wj) 1)) (+ (* x 8/3) 1) (pow (* (+ (* x 8/3) 1) wj) 2) (+ (* (+ (* -3/2 wj) -2) wj) -1))
5.0ms	x	@	0	((- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (+ (* (+ (* (+ (* 5/2 x) (/ (- 1 (pow (* (+ (* x 8/3) 1) wj) 2)) (+ (* (+ (* x 8/3) 1) wj) 1))) wj) (* -2 x)) wj) x) (+ (* (+ (* 5/2 x) (/ (- 1 (pow (* (+ (* x 8/3) 1) wj) 2)) (+ (* (+ (* x 8/3) 1) wj) 1))) wj) (* -2 x)) (+ (* 5/2 x) (/ (- 1 (pow (* (+ (* x 8/3) 1) wj) 2)) (+ (* (+ (* x 8/3) 1) wj) 1))) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg x) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/ wj (+ 1 wj)) (+ 1 wj) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/ x (* (neg (+ wj 1)) (exp wj))) (* (neg (+ wj 1)) (exp wj)) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (* (neg (+ wj 1)) (exp wj)) (neg (+ wj 1)) (/ (- 1 (pow (* (+ (* x 8/3) 1) wj) 2)) (+ (* (+ (* x 8/3) 1) wj) 1)) (+ (* x 8/3) 1) (pow (* (+ (* x 8/3) 1) wj) 2) (+ (* (+ (* -3/2 wj) -2) wj) -1))
5.0ms	x	@	inf	((- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (+ (* (+ (* (+ (* 5/2 x) (/ (- 1 (pow (* (+ (* x 8/3) 1) wj) 2)) (+ (* (+ (* x 8/3) 1) wj) 1))) wj) (* -2 x)) wj) x) (+ (* (+ (* 5/2 x) (/ (- 1 (pow (* (+ (* x 8/3) 1) wj) 2)) (+ (* (+ (* x 8/3) 1) wj) 1))) wj) (* -2 x)) (+ (* 5/2 x) (/ (- 1 (pow (* (+ (* x 8/3) 1) wj) 2)) (+ (* (+ (* x 8/3) 1) wj) 1))) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg x) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/ wj (+ 1 wj)) (+ 1 wj) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/ x (* (neg (+ wj 1)) (exp wj))) (* (neg (+ wj 1)) (exp wj)) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (* (neg (+ wj 1)) (exp wj)) (neg (+ wj 1)) (/ (- 1 (pow (* (+ (* x 8/3) 1) wj) 2)) (+ (* (+ (* x 8/3) 1) wj) 1)) (+ (* x 8/3) 1) (pow (* (+ (* x 8/3) 1) wj) 2) (+ (* (+ (* -3/2 wj) -2) wj) -1))
4.0ms	wj	@	-inf	((- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (+ (* (+ (* (+ (* 5/2 x) (/ (- 1 (pow (* (+ (* x 8/3) 1) wj) 2)) (+ (* (+ (* x 8/3) 1) wj) 1))) wj) (* -2 x)) wj) x) (+ (* (+ (* 5/2 x) (/ (- 1 (pow (* (+ (* x 8/3) 1) wj) 2)) (+ (* (+ (* x 8/3) 1) wj) 1))) wj) (* -2 x)) (+ (* 5/2 x) (/ (- 1 (pow (* (+ (* x 8/3) 1) wj) 2)) (+ (* (+ (* x 8/3) 1) wj) 1))) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg x) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/ wj (+ 1 wj)) (+ 1 wj) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/ x (* (neg (+ wj 1)) (exp wj))) (* (neg (+ wj 1)) (exp wj)) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (* (neg (+ wj 1)) (exp wj)) (neg (+ wj 1)) (/ (- 1 (pow (* (+ (* x 8/3) 1) wj) 2)) (+ (* (+ (* x 8/3) 1) wj) 1)) (+ (* x 8/3) 1) (pow (* (+ (* x 8/3) 1) wj) 2) (+ (* (+ (* -3/2 wj) -2) wj) -1))

simplify190.0ms (2.1%)

Memory

21.2MiB live, 209.2MiB allocated

Algorithm

1×	egg-herbie

Rules

9 612×	`lower-fma.f64`
9 612×	`lower-fma.f32`
5 866×	`lower-*.f64`
5 866×	`lower-*.f32`
5 556×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	794	8898
1	2564	8466
0	8323	8040

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 437

Calls

Call 1

Inputs
x
(+ x (* -2 (* wj x)))
(+ x (* wj (- (* wj (- 1 (+ (* -4 x) (* 3/2 x)))) (* 2 x))))
(+ x (* wj (- (* wj (- (+ 1 (* -1 (* wj (+ 1 (+ (* -3 x) (+ (* -2 (+ (* -4 x) (* 3/2 x))) (* 2/3 x))))))) (+ (* -4 x) (* 3/2 x)))) (* 2 x))))
x
(+ x (* -2 (* wj x)))
(+ x (* wj (+ (* -2 x) (* wj (+ 1 (* 5/2 x))))))
(+ x (* wj (+ (* -2 x) (* wj (+ 1 (+ (* -1 (* wj (+ 1 (* 8/3 x)))) (* 5/2 x)))))))
(* -2 x)
(+ (* -2 x) (* wj (+ 1 (* 5/2 x))))
(+ (* -2 x) (* wj (+ 1 (+ (* -1 (* wj (+ 1 (* 8/3 x)))) (* 5/2 x)))))
(+ (* -2 x) (* wj (+ 1 (+ (* 5/2 x) (* wj (+ (* -1 (* wj (+ (* -1 (pow (+ 1 (* 8/3 x)) 2)) (pow (+ 1 (* 8/3 x)) 2)))) (* -1 (+ 1 (* 8/3 x)))))))))
(+ 1 (* 5/2 x))
(+ 1 (+ (* -1 (* wj (+ 1 (* 8/3 x)))) (* 5/2 x)))
(+ 1 (+ (* 5/2 x) (* wj (- (* -1 (* wj (+ (* -1 (pow (+ 1 (* 8/3 x)) 2)) (pow (+ 1 (* 8/3 x)) 2)))) (+ 1 (* 8/3 x))))))
(+ 1 (+ (* 5/2 x) (* wj (- (* -1 (* wj (+ (* -1 (pow (+ 1 (* 8/3 x)) 2)) (pow (+ 1 (* 8/3 x)) 2)))) (+ 1 (* 8/3 x))))))
x
(+ x (* -2 (* wj x)))
(+ x (* wj (- (* wj (- 1 (+ (* -4 x) (* 3/2 x)))) (* 2 x))))
(+ x (* wj (- (* wj (- (+ 1 (* -1 (* wj (+ 1 (+ (* -3 x) (+ (* -2 (+ (* -4 x) (* 3/2 x))) (* 2/3 x))))))) (+ (* -4 x) (* 3/2 x)))) (* 2 x))))
(* -1 x)
(+ (* -1 x) (* wj (- 1 (* -2 x))))
(+ (* -1 x) (* wj (- (+ 1 (* wj (- 1 (+ (* -3/2 x) (* 2 (- 1 (* -2 x))))))) (* -2 x))))
(+ (* -1 x) (* wj (- (+ 1 (* wj (- (+ 1 (* wj (- 1/2 (+ (* -2/3 x) (+ (* 3/2 (- 1 (* -2 x))) (* 2 (- 1 (+ (* -3/2 x) (* 2 (- 1 (* -2 x))))))))))) (+ (* -3/2 x) (* 2 (- 1 (* -2 x))))))) (* -2 x))))
x
(+ x (* -2 (* wj x)))
(+ x (* wj (- (* wj (- 1 (+ (* -4 x) (* 3/2 x)))) (* 2 x))))
(+ x (* wj (- (* wj (- (+ 1 (* -1 (* wj (+ 1 (+ (* -3 x) (+ (* -2 (+ (* -4 x) (* 3/2 x))) (* 2/3 x))))))) (+ (* -4 x) (* 3/2 x)))) (* 2 x))))
(* -1 x)
(+ (* -1 x) (* wj (- 1 (* -2 x))))
(+ (* -1 x) (* wj (- (+ 1 (* wj (- 1 (+ (* -3/2 x) (* 2 (- 1 (* -2 x))))))) (* -2 x))))
(+ (* -1 x) (* wj (- (+ 1 (* wj (- (+ 1 (* wj (- 1/2 (+ (* -2/3 x) (+ (* 3/2 (- 1 (* -2 x))) (* 2 (- 1 (+ (* -3/2 x) (* 2 (- 1 (* -2 x))))))))))) (+ (* -3/2 x) (* 2 (- 1 (* -2 x))))))) (* -2 x))))
wj
(* wj (+ 1 (* -1 wj)))
(* wj (+ 1 (* wj (- wj 1))))
(* wj (+ 1 (* wj (- (* wj (+ 1 (* -1 wj))) 1))))
1
(+ 1 wj)
(+ 1 wj)
(+ 1 wj)
x
(+ x (* -2 (* wj x)))
(+ x (* wj (- (* wj (- 1 (+ (* -4 x) (* 3/2 x)))) (* 2 x))))
(+ x (* wj (- (* wj (- (+ 1 (* -1 (* wj (+ 1 (+ (* -3 x) (+ (* -2 (+ (* -4 x) (* 3/2 x))) (* 2/3 x))))))) (+ (* -4 x) (* 3/2 x)))) (* 2 x))))
(* -1 x)
(+ (* -1 x) (* wj (- 1 (* -2 x))))
(+ (* -1 x) (* wj (- (+ 1 (* wj (- 1 (+ (* -3/2 x) (* 2 (- 1 (* -2 x))))))) (* -2 x))))
(+ (* -1 x) (* wj (- (+ 1 (* wj (- (+ 1 (* wj (- 1/2 (+ (* -2/3 x) (+ (* 3/2 (- 1 (* -2 x))) (* 2 (- 1 (+ (* -3/2 x) (* 2 (- 1 (* -2 x))))))))))) (+ (* -3/2 x) (* 2 (- 1 (* -2 x))))))) (* -2 x))))
(* -1 x)
(+ (* -1 x) (* 2 (* wj x)))
(+ (* -1 x) (* wj (+ (* 2 x) (* wj (+ (* -4 x) (* 3/2 x))))))
(+ (* -1 x) (* wj (+ (* 2 x) (* wj (+ (* -4 x) (+ (* 3/2 x) (* wj (+ (* -3 x) (+ (* -2 (+ (* -4 x) (* 3/2 x))) (* 2/3 x))))))))))
-1
(- (* -2 wj) 1)
(- (* wj (- (* -3/2 wj) 2)) 1)
(- (* wj (- (* wj (- (* -2/3 wj) 3/2)) 2)) 1)
x
(+ x (* -2 (* wj x)))
(+ x (* wj (- (* wj (- 1 (+ (* -4 x) (* 3/2 x)))) (* 2 x))))
(+ x (* wj (- (* wj (- (+ 1 (* -1 (* wj (+ 1 (+ (* -3 x) (+ (* -2 (+ (* -4 x) (* 3/2 x))) (* 2/3 x))))))) (+ (* -4 x) (* 3/2 x)))) (* 2 x))))
(* -1 x)
(+ (* -1 x) (* wj (- 1 (* -2 x))))
(+ (* -1 x) (* wj (- (+ 1 (* wj (- 1 (+ (* -3/2 x) (* 2 (- 1 (* -2 x))))))) (* -2 x))))
(+ (* -1 x) (* wj (- (+ 1 (* wj (- (+ 1 (* wj (- 1/2 (+ (* -2/3 x) (+ (* 3/2 (- 1 (* -2 x))) (* 2 (- 1 (+ (* -3/2 x) (* 2 (- 1 (* -2 x))))))))))) (+ (* -3/2 x) (* 2 (- 1 (* -2 x))))))) (* -2 x))))
-1
(- (* -2 wj) 1)
(- (* wj (- (* -3/2 wj) 2)) 1)
(- (* wj (- (* wj (- (* -2/3 wj) 3/2)) 2)) 1)
-1
(- (* -1 wj) 1)
(- (* -1 wj) 1)
(- (* -1 wj) 1)
1
(+ 1 (* -1 (* wj (+ 1 (* 8/3 x)))))
(+ 1 (* -1 (* wj (+ 1 (* 8/3 x)))))
(+ 1 (* -1 (* wj (+ 1 (* 8/3 x)))))
(* (pow wj 2) (pow (+ 1 (* 8/3 x)) 2))
(* (pow wj 2) (pow (+ 1 (* 8/3 x)) 2))
(* (pow wj 2) (pow (+ 1 (* 8/3 x)) 2))
(* (pow wj 2) (pow (+ 1 (* 8/3 x)) 2))
-1
(- (* -2 wj) 1)
(- (* wj (- (* -3/2 wj) 2)) 1)
(- (* wj (- (* -3/2 wj) 2)) 1)
wj
(* wj (- 1 (/ 1 wj)))
(* wj (- (+ 1 (+ (/ 1 (pow wj 2)) (/ x (* (pow wj 2) (exp wj))))) (/ 1 wj)))
(* wj (- (+ 1 (+ (* -1 (/ (+ 1 (/ x (exp wj))) (pow wj 3))) (+ (/ 1 (pow wj 2)) (/ x (* (pow wj 2) (exp wj)))))) (/ 1 wj)))
(* -1 (* (pow wj 3) (+ 1 (* 8/3 x))))
(* (pow wj 3) (- (+ (* 5/2 (/ x wj)) (/ 1 wj)) (+ 1 (* 8/3 x))))
(* (pow wj 3) (- (+ (* -2 (/ x (pow wj 2))) (+ (* 5/2 (/ x wj)) (/ 1 wj))) (+ 1 (* 8/3 x))))
(* (pow wj 3) (- (+ (* -2 (/ x (pow wj 2))) (+ (* 5/2 (/ x wj)) (+ (/ 1 wj) (/ x (pow wj 3))))) (+ 1 (* 8/3 x))))
(* -1 (* (pow wj 2) (+ 1 (* 8/3 x))))
(* (pow wj 2) (- (+ (* 5/2 (/ x wj)) (/ 1 wj)) (+ 1 (* 8/3 x))))
(* (pow wj 2) (- (+ (* -2 (/ x (pow wj 2))) (+ (* 5/2 (/ x wj)) (/ 1 wj))) (+ 1 (* 8/3 x))))
(* (pow wj 2) (- (+ (* -2 (/ x (pow wj 2))) (+ (* 5/2 (/ x wj)) (/ 1 wj))) (+ 1 (* 8/3 x))))
(* -1 (* wj (+ 1 (* 8/3 x))))
(* wj (- (+ (* 5/2 (/ x wj)) (/ 1 wj)) (+ 1 (* 8/3 x))))
(* wj (- (+ (* 5/2 (/ x wj)) (/ 1 wj)) (+ 1 (* 8/3 x))))
(* wj (- (+ (* 5/2 (/ x wj)) (/ 1 wj)) (+ 1 (* 8/3 x))))
wj
(* wj (- 1 (/ 1 wj)))
(* wj (- (+ 1 (+ (/ 1 (pow wj 2)) (/ x (* (pow wj 2) (exp wj))))) (/ 1 wj)))
(* wj (- (+ 1 (+ (* -1 (/ (+ 1 (/ x (exp wj))) (pow wj 3))) (+ (/ 1 (pow wj 2)) (/ x (* (pow wj 2) (exp wj)))))) (/ 1 wj)))
1
(- (+ 1 (* -1 (/ x (* wj (exp wj))))) (/ 1 wj))
(- (+ 1 (+ (* -1 (/ x (* wj (exp wj)))) (/ 1 (pow wj 2)))) (+ (* -1 (/ x (* (pow wj 2) (exp wj)))) (/ 1 wj)))
(- (+ 1 (+ (* -1 (/ x (* wj (exp wj)))) (+ (* -1 (/ x (* (pow wj 3) (exp wj)))) (/ 1 (pow wj 2))))) (+ (* -1 (/ x (* (pow wj 2) (exp wj)))) (+ (/ 1 wj) (/ 1 (pow wj 3)))))
wj
(* wj (- 1 (/ 1 wj)))
(* wj (- (+ 1 (+ (/ 1 (pow wj 2)) (/ x (* (pow wj 2) (exp wj))))) (/ 1 wj)))
(* wj (- (+ 1 (+ (* -1 (/ (+ 1 (/ x (exp wj))) (pow wj 3))) (+ (/ 1 (pow wj 2)) (/ x (* (pow wj 2) (exp wj)))))) (/ 1 wj)))
1
(- (+ 1 (* -1 (/ x (* wj (exp wj))))) (/ 1 wj))
(- (+ 1 (+ (* -1 (/ x (* wj (exp wj)))) (/ 1 (pow wj 2)))) (+ (* -1 (/ x (* (pow wj 2) (exp wj)))) (/ 1 wj)))
(- (+ 1 (+ (* -1 (/ x (* wj (exp wj)))) (+ (* -1 (/ x (* (pow wj 3) (exp wj)))) (/ 1 (pow wj 2))))) (+ (* -1 (/ x (* (pow wj 2) (exp wj)))) (+ (/ 1 wj) (/ 1 (pow wj 3)))))
1
(- 1 (/ 1 wj))
(- (+ 1 (/ 1 (pow wj 2))) (/ 1 wj))
(- (+ 1 (/ 1 (pow wj 2))) (+ (/ 1 wj) (/ 1 (pow wj 3))))
wj
(* wj (+ 1 (/ 1 wj)))
(* wj (+ 1 (/ 1 wj)))
(* wj (+ 1 (/ 1 wj)))
wj
(* wj (- 1 (/ 1 wj)))
(* wj (- (+ 1 (+ (/ 1 (pow wj 2)) (/ x (* (pow wj 2) (exp wj))))) (/ 1 wj)))
(* wj (- (+ 1 (+ (* -1 (/ (+ 1 (/ x (exp wj))) (pow wj 3))) (+ (/ 1 (pow wj 2)) (/ x (* (pow wj 2) (exp wj)))))) (/ 1 wj)))
1
(- (+ 1 (* -1 (/ x (* wj (exp wj))))) (/ 1 wj))
(- (+ 1 (+ (* -1 (/ x (* wj (exp wj)))) (/ 1 (pow wj 2)))) (+ (* -1 (/ x (* (pow wj 2) (exp wj)))) (/ 1 wj)))
(- (+ 1 (+ (* -1 (/ x (* wj (exp wj)))) (+ (* -1 (/ x (* (pow wj 3) (exp wj)))) (/ 1 (pow wj 2))))) (+ (* -1 (/ x (* (pow wj 2) (exp wj)))) (+ (/ 1 wj) (/ 1 (pow wj 3)))))
(* -1 (/ x (* wj (exp wj))))
(/ (+ (* -1 (/ x (exp wj))) (/ x (* wj (exp wj)))) wj)
(/ (+ (* -1 (/ x (exp wj))) (+ (* -1 (/ x (* (pow wj 2) (exp wj)))) (/ x (* wj (exp wj))))) wj)
(/ (+ (* -1 (/ x (exp wj))) (+ (* -1 (/ x (* (pow wj 2) (exp wj)))) (+ (/ x (* wj (exp wj))) (/ x (* (pow wj 3) (exp wj)))))) wj)
(* -1 (* wj (exp wj)))
(* wj (+ (* -1 (exp wj)) (* -1 (/ (exp wj) wj))))
(* wj (+ (* -1 (exp wj)) (* -1 (/ (exp wj) wj))))
(* wj (+ (* -1 (exp wj)) (* -1 (/ (exp wj) wj))))
wj
(* wj (- 1 (/ 1 wj)))
(* wj (- (+ 1 (+ (/ 1 (pow wj 2)) (/ x (* (pow wj 2) (exp wj))))) (/ 1 wj)))
(* wj (- (+ 1 (+ (* -1 (/ (+ 1 (/ x (exp wj))) (pow wj 3))) (+ (/ 1 (pow wj 2)) (/ x (* (pow wj 2) (exp wj)))))) (/ 1 wj)))
1
(- (+ 1 (* -1 (/ x (* wj (exp wj))))) (/ 1 wj))
(- (+ 1 (+ (* -1 (/ x (* wj (exp wj)))) (/ 1 (pow wj 2)))) (+ (* -1 (/ x (* (pow wj 2) (exp wj)))) (/ 1 wj)))
(- (+ 1 (+ (* -1 (/ x (* wj (exp wj)))) (+ (* -1 (/ x (* (pow wj 3) (exp wj)))) (/ 1 (pow wj 2))))) (+ (* -1 (/ x (* (pow wj 2) (exp wj)))) (+ (/ 1 wj) (/ 1 (pow wj 3)))))
(* -1 (* wj (exp wj)))
(* wj (+ (* -1 (exp wj)) (* -1 (/ (exp wj) wj))))
(* wj (+ (* -1 (exp wj)) (* -1 (/ (exp wj) wj))))
(* wj (+ (* -1 (exp wj)) (* -1 (/ (exp wj) wj))))
(* -1 wj)
(* -1 (* wj (+ 1 (/ 1 wj))))
(* -1 (* wj (+ 1 (/ 1 wj))))
(* -1 (* wj (+ 1 (/ 1 wj))))
(* -1 (* wj (+ 1 (* 8/3 x))))
(* wj (+ (* -1 (+ 1 (* 8/3 x))) (/ 1 wj)))
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(* x (- (+ (/ 1 (+ (exp wj) (* wj (exp wj)))) (/ wj x)) (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))))
(* x (- (+ (/ 1 (+ (exp wj) (* wj (exp wj)))) (/ wj x)) (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))))
(* -1 (/ x (+ (exp wj) (* wj (exp wj)))))
(* x (- (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj))))) (/ 1 (+ (exp wj) (* wj (exp wj))))))
(* x (- (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj))))) (/ 1 (+ (exp wj) (* wj (exp wj))))))
(* x (- (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj))))) (/ 1 (+ (exp wj) (* wj (exp wj))))))
(/ x (+ (exp wj) (* wj (exp wj))))
(* x (- (+ (/ 1 (+ (exp wj) (* wj (exp wj)))) (/ wj x)) (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))))
(* x (- (+ (/ 1 (+ (exp wj) (* wj (exp wj)))) (/ wj x)) (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))))
(* x (- (+ (/ 1 (+ (exp wj) (* wj (exp wj)))) (/ wj x)) (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))))
(* -1 (/ x (+ (exp wj) (* wj (exp wj)))))
(* x (- (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj))))) (/ 1 (+ (exp wj) (* wj (exp wj))))))
(* x (- (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj))))) (/ 1 (+ (exp wj) (* wj (exp wj))))))
(* x (- (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj))))) (/ 1 (+ (exp wj) (* wj (exp wj))))))
(* -1 (/ x (* (exp wj) (+ 1 wj))))
(* -1 (/ x (* (exp wj) (+ 1 wj))))
(* -1 (/ x (* (exp wj) (+ 1 wj))))
(* -1 (/ x (* (exp wj) (+ 1 wj))))
(/ x (+ (exp wj) (* wj (exp wj))))
(* x (- (+ (/ 1 (+ (exp wj) (* wj (exp wj)))) (/ wj x)) (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))))
(* x (- (+ (/ 1 (+ (exp wj) (* wj (exp wj)))) (/ wj x)) (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))))
(* x (- (+ (/ 1 (+ (exp wj) (* wj (exp wj)))) (/ wj x)) (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))))
(* -1 (/ x (+ (exp wj) (* wj (exp wj)))))
(* x (- (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj))))) (/ 1 (+ (exp wj) (* wj (exp wj))))))
(* x (- (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj))))) (/ 1 (+ (exp wj) (* wj (exp wj))))))
(* x (- (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj))))) (/ 1 (+ (exp wj) (* wj (exp wj))))))
(* -8/3 (* wj x))
(* x (- (+ (* -8/3 wj) (* -2 (/ wj x))) (* -1 (/ (+ 1 wj) x))))
(* x (- (+ (* -8/3 wj) (+ (* -2 (/ wj x)) (* 3/8 (/ (- 1 (pow wj 2)) (* wj (pow x 2)))))) (+ (* -1 (/ (+ 1 wj) x)) (* 3/8 (/ (* (+ 1 wj) (- (* -2 wj) (* -1 (+ 1 wj)))) (* wj (pow x 2)))))))
(* x (- (+ (* -8/3 wj) (+ (* -2 (/ wj x)) (+ (* -3/8 (/ (* (+ 1 wj) (- (* 3/8 (/ (- 1 (pow wj 2)) wj)) (* 3/8 (/ (* (+ 1 wj) (- (* -2 wj) (* -1 (+ 1 wj)))) wj)))) (* wj (pow x 3)))) (* 3/8 (/ (- 1 (pow wj 2)) (* wj (pow x 2))))))) (+ (* -1 (/ (+ 1 wj) x)) (* 3/8 (/ (* (+ 1 wj) (- (* -2 wj) (* -1 (+ 1 wj)))) (* wj (pow x 2)))))))
(* 8/3 x)
(* x (+ 8/3 (/ 1 x)))
(* x (+ 8/3 (/ 1 x)))
(* x (+ 8/3 (/ 1 x)))
(* 64/9 (* (pow wj 2) (pow x 2)))
(* (pow x 2) (+ (* 16/3 (/ (pow wj 2) x)) (* 64/9 (pow wj 2))))
(* (pow x 2) (+ (* 16/3 (/ (pow wj 2) x)) (+ (* 64/9 (pow wj 2)) (/ (pow wj 2) (pow x 2)))))
(* (pow x 2) (+ (* 16/3 (/ (pow wj 2) x)) (+ (* 64/9 (pow wj 2)) (/ (pow wj 2) (pow x 2)))))
(/ x (+ (exp wj) (* wj (exp wj))))
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(* -1 (* x (- (* wj (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj)))))) 1)))
(* -1 (* x (- (+ (* -1 (/ (* (pow wj 2) (- (+ 1 wj) (* 2 wj))) x)) (* wj (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))))) 1)))
(* -1 (* x (- (+ (* -1 (/ (+ (* -1 (/ (* (pow wj 2) (- (* -3/8 (/ (* (+ 1 wj) (- (* 2 wj) (+ 1 wj))) wj)) (+ (* -3/8 wj) (* 3/8 (/ 1 wj))))) x)) (* (pow wj 2) (- (+ 1 wj) (* 2 wj)))) x)) (* wj (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))))) 1)))
(* -1 (* x (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow wj 2) (- (* -3/8 (/ (* (+ 1 wj) (- (* -3/8 wj) (* -3/8 (/ (* (+ 1 wj) (- (* 2 wj) (+ 1 wj))) wj)))) wj)) (* 9/64 (/ (+ 1 wj) (pow wj 2))))) x)) (* (pow wj 2) (- (* -3/8 (/ (* (+ 1 wj) (- (* 2 wj) (+ 1 wj))) wj)) (+ (* -3/8 wj) (* 3/8 (/ 1 wj)))))) x)) (* (pow wj 2) (- (+ 1 wj) (* 2 wj)))) x)) (* wj (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))))) 1)))
(* -1 (* x (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj)))))))
(* -1 (* x (+ 2 (+ (* -1 (* wj (+ 5/2 (* -8/3 wj)))) (* -1 (/ (* wj (- (+ 1 wj) (* 2 wj))) x))))))
(* -1 (* x (+ 2 (+ (* -1 (* wj (+ 5/2 (* -8/3 wj)))) (* -1 (/ (+ (* -1 (/ (* wj (- (* -3/8 (/ (* (+ 1 wj) (- (* 2 wj) (+ 1 wj))) wj)) (+ (* -3/8 wj) (* 3/8 (/ 1 wj))))) x)) (* wj (- (+ 1 wj) (* 2 wj)))) x))))))
(* -1 (* x (+ 2 (+ (* -1 (* wj (+ 5/2 (* -8/3 wj)))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* wj (- (* -3/8 (/ (* (+ 1 wj) (- (* -3/8 wj) (* -3/8 (/ (* (+ 1 wj) (- (* 2 wj) (+ 1 wj))) wj)))) wj)) (* 9/64 (/ (+ 1 wj) (pow wj 2))))) x)) (* wj (- (* -3/8 (/ (* (+ 1 wj) (- (* 2 wj) (+ 1 wj))) wj)) (+ (* -3/8 wj) (* 3/8 (/ 1 wj)))))) x)) (* wj (- (+ 1 wj) (* 2 wj)))) x))))))
(* x (+ 5/2 (* -8/3 wj)))
(* -1 (* x (- (* -1 (/ (- (+ 1 wj) (* 2 wj)) x)) (+ 5/2 (* -8/3 wj)))))
(* -1 (* x (- (* -1 (/ (- (+ 1 (+ wj (* -1 (/ (- (* -3/8 (/ (* (+ 1 wj) (- (* 2 wj) (+ 1 wj))) wj)) (+ (* -3/8 wj) (* 3/8 (/ 1 wj)))) x)))) (* 2 wj)) x)) (+ 5/2 (* -8/3 wj)))))
(* -1 (* x (- (* -1 (/ (- (+ 1 (+ wj (* -1 (/ (- (+ (* -1 (/ (- (* -3/8 (/ (* (+ 1 wj) (- (* -3/8 wj) (* -3/8 (/ (* (+ 1 wj) (- (* 2 wj) (+ 1 wj))) wj)))) wj)) (* 9/64 (/ (+ 1 wj) (pow wj 2)))) x)) (* -3/8 (/ (* (+ 1 wj) (- (* 2 wj) (+ 1 wj))) wj))) (+ (* -3/8 wj) (* 3/8 (/ 1 wj)))) x)))) (* 2 wj)) x)) (+ 5/2 (* -8/3 wj)))))
(/ x (+ (exp wj) (* wj (exp wj))))
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
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(* -1 (/ x (+ (exp wj) (* wj (exp wj)))))
(* -1 (* x (+ (* -1 (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
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(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ x (+ (exp wj) (* wj (exp wj))))
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
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(* -1 (/ x (+ (exp wj) (* wj (exp wj)))))
(* -1 (* x (+ (* -1 (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(* -1 (* x (+ (* -1 (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(* -1 (* x (+ (* -1 (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(/ x (+ (exp wj) (* wj (exp wj))))
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
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(* -1 (/ x (* (exp wj) (+ 1 wj))))
(* -1 (/ x (* (exp wj) (+ 1 wj))))
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(* -1 (/ x (* (exp wj) (+ 1 wj))))
(/ x (+ (exp wj) (* wj (exp wj))))
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(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(* -1 (/ x (+ (exp wj) (* wj (exp wj)))))
(* -1 (* x (+ (* -1 (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(* -1 (* x (+ (* -1 (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(* -1 (* x (+ (* -1 (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
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(* -1 (* x (+ (* -1 (/ (- (+ (* -2 wj) (* -1 (/ (- (* -3/8 (/ (- 1 (pow wj 2)) wj)) (* -3/8 (/ (* (+ 1 wj) (- (* -2 wj) (* -1 (+ 1 wj)))) wj))) x))) (* -1 (+ 1 wj))) x)) (* 8/3 wj))))
(* -1 (* x (+ (* -1 (/ (- (+ (* -2 wj) (* -1 (/ (- (+ (* -3/8 (/ (* (+ 1 wj) (- (* -3/8 (/ (- 1 (pow wj 2)) wj)) (* -3/8 (/ (* (+ 1 wj) (- (* -2 wj) (* -1 (+ 1 wj)))) wj)))) (* wj x))) (* -3/8 (/ (- 1 (pow wj 2)) wj))) (* -3/8 (/ (* (+ 1 wj) (- (* -2 wj) (* -1 (+ 1 wj)))) wj))) x))) (* -1 (+ 1 wj))) x)) (* 8/3 wj))))
(* 8/3 x)
(* x (+ 8/3 (/ 1 x)))
(* x (+ 8/3 (/ 1 x)))
(* x (+ 8/3 (/ 1 x)))
(* 64/9 (* (pow wj 2) (pow x 2)))
(* (pow x 2) (+ (* 16/3 (/ (pow wj 2) x)) (* 64/9 (pow wj 2))))
(* (pow x 2) (+ (* -1 (/ (+ (* -16/3 (pow wj 2)) (* -1 (/ (pow wj 2) x))) x)) (* 64/9 (pow wj 2))))
(* (pow x 2) (+ (* -1 (/ (+ (* -16/3 (pow wj 2)) (* -1 (/ (pow wj 2) x))) x)) (* 64/9 (pow wj 2))))

Outputs
x
(+ x (* -2 (* wj x)))
(*.f64 (fma.f64 wj #s(literal -2 binary64) #s(literal 1 binary64)) x)
(+ x (* wj (- (* wj (- 1 (+ (* -4 x) (* 3/2 x)))) (* 2 x))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x)) wj x)
(+ x (* wj (- (* wj (- (+ 1 (* -1 (* wj (+ 1 (+ (* -3 x) (+ (* -2 (+ (* -4 x) (* 3/2 x))) (* 2/3 x))))))) (+ (* -4 x) (* 3/2 x)))) (* 2 x))))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 wj) (+.f64 (fma.f64 #s(literal -3 binary64) x (fma.f64 #s(literal 2/3 binary64) x (.f64 x #s(literal 5 binary64)))) #s(literal 1 binary64)) (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64))) wj (.f64 #s(literal -2 binary64) x)) wj x)
x
(+ x (* -2 (* wj x)))
(*.f64 (fma.f64 wj #s(literal -2 binary64) #s(literal 1 binary64)) x)
(+ x (* wj (+ (* -2 x) (* wj (+ 1 (* 5/2 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x)) wj x)
(+ x (* wj (+ (* -2 x) (* wj (+ 1 (+ (* -1 (* wj (+ 1 (* 8/3 x)))) (* 5/2 x)))))))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8/3 binary64) x #s(literal -1 binary64)) wj (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64))) wj (*.f64 #s(literal -2 binary64) x)) wj x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(+ (* -2 x) (* wj (+ 1 (* 5/2 x))))
(fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x))
(+ (* -2 x) (* wj (+ 1 (+ (* -1 (* wj (+ 1 (* 8/3 x)))) (* 5/2 x)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -8/3 binary64) x #s(literal -1 binary64)) wj (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64))) wj (*.f64 #s(literal -2 binary64) x))
(+ (* -2 x) (* wj (+ 1 (+ (* 5/2 x) (* wj (+ (* -1 (* wj (+ (* -1 (pow (+ 1 (* 8/3 x)) 2)) (pow (+ 1 (* 8/3 x)) 2)))) (* -1 (+ 1 (* 8/3 x)))))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 0 binary64) wj (fma.f64 #s(literal -8/3 binary64) x #s(literal -1 binary64))) wj (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64))) wj (*.f64 #s(literal -2 binary64) x))
(+ 1 (* 5/2 x))
(fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64))
(+ 1 (+ (* -1 (* wj (+ 1 (* 8/3 x)))) (* 5/2 x)))
(fma.f64 (fma.f64 #s(literal -8/3 binary64) x #s(literal -1 binary64)) wj (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)))
(+ 1 (+ (* 5/2 x) (* wj (- (* -1 (* wj (+ (* -1 (pow (+ 1 (* 8/3 x)) 2)) (pow (+ 1 (* 8/3 x)) 2)))) (+ 1 (* 8/3 x))))))
(fma.f64 (fma.f64 #s(literal 0 binary64) wj (fma.f64 #s(literal -8/3 binary64) x #s(literal -1 binary64))) wj (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)))
(+ 1 (+ (* 5/2 x) (* wj (- (* -1 (* wj (+ (* -1 (pow (+ 1 (* 8/3 x)) 2)) (pow (+ 1 (* 8/3 x)) 2)))) (+ 1 (* 8/3 x))))))
(fma.f64 (fma.f64 #s(literal 0 binary64) wj (fma.f64 #s(literal -8/3 binary64) x #s(literal -1 binary64))) wj (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)))
x
(+ x (* -2 (* wj x)))
(*.f64 (fma.f64 wj #s(literal -2 binary64) #s(literal 1 binary64)) x)
(+ x (* wj (- (* wj (- 1 (+ (* -4 x) (* 3/2 x)))) (* 2 x))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x)) wj x)
(+ x (* wj (- (* wj (- (+ 1 (* -1 (* wj (+ 1 (+ (* -3 x) (+ (* -2 (+ (* -4 x) (* 3/2 x))) (* 2/3 x))))))) (+ (* -4 x) (* 3/2 x)))) (* 2 x))))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 wj) (+.f64 (fma.f64 #s(literal -3 binary64) x (fma.f64 #s(literal 2/3 binary64) x (.f64 x #s(literal 5 binary64)))) #s(literal 1 binary64)) (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64))) wj (.f64 #s(literal -2 binary64) x)) wj x)
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (* wj (- 1 (* -2 x))))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) x)) wj (neg.f64 x))
(+ (* -1 x) (* wj (- (+ 1 (* wj (- 1 (+ (* -3/2 x) (* 2 (- 1 (* -2 x))))))) (* -2 x))))
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3/2 binary64) x (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64)))) wj (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) x))) wj (neg.f64 x))
(+ (* -1 x) (* wj (- (+ 1 (* wj (- (+ 1 (* wj (- 1/2 (+ (* -2/3 x) (+ (* 3/2 (- 1 (* -2 x))) (* 2 (- 1 (+ (* -3/2 x) (* 2 (- 1 (* -2 x))))))))))) (+ (* -3/2 x) (* 2 (- 1 (* -2 x))))))) (* -2 x))))
(fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2/3 binary64) x (fma.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3/2 binary64) x (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64)))) #s(literal 2 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) x)) #s(literal 3/2 binary64))))) wj (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3/2 binary64) x (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64))))) wj (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) x))) wj (neg.f64 x))
x
(+ x (* -2 (* wj x)))
(*.f64 (fma.f64 wj #s(literal -2 binary64) #s(literal 1 binary64)) x)
(+ x (* wj (- (* wj (- 1 (+ (* -4 x) (* 3/2 x)))) (* 2 x))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x)) wj x)
(+ x (* wj (- (* wj (- (+ 1 (* -1 (* wj (+ 1 (+ (* -3 x) (+ (* -2 (+ (* -4 x) (* 3/2 x))) (* 2/3 x))))))) (+ (* -4 x) (* 3/2 x)))) (* 2 x))))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 wj) (+.f64 (fma.f64 #s(literal -3 binary64) x (fma.f64 #s(literal 2/3 binary64) x (.f64 x #s(literal 5 binary64)))) #s(literal 1 binary64)) (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64))) wj (.f64 #s(literal -2 binary64) x)) wj x)
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (* wj (- 1 (* -2 x))))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) x)) wj (neg.f64 x))
(+ (* -1 x) (* wj (- (+ 1 (* wj (- 1 (+ (* -3/2 x) (* 2 (- 1 (* -2 x))))))) (* -2 x))))
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(/.f64 x (fma.f64 (exp.f64 wj) wj (exp.f64 wj)))
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(.f64 (-.f64 (/.f64 (-.f64 wj (/.f64 (.f64 (exp.f64 wj) wj) (fma.f64 (exp.f64 wj) wj (exp.f64 wj)))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 wj) wj (exp.f64 wj)))) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(.f64 (-.f64 (/.f64 (-.f64 wj (/.f64 (.f64 (exp.f64 wj) wj) (fma.f64 (exp.f64 wj) wj (exp.f64 wj)))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 wj) wj (exp.f64 wj)))) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(.f64 (-.f64 (/.f64 (-.f64 wj (/.f64 (.f64 (exp.f64 wj) wj) (fma.f64 (exp.f64 wj) wj (exp.f64 wj)))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 wj) wj (exp.f64 wj)))) (neg.f64 x))
(* -1 (/ x (+ (exp wj) (* wj (exp wj)))))
(/.f64 (/.f64 x (exp.f64 wj)) (-.f64 #s(literal -1 binary64) wj))
(* -1 (* x (+ (* -1 (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) (.f64 (/.f64 (exp.f64 wj) x) (/.f64 wj (fma.f64 (exp.f64 wj) wj (exp.f64 wj))))) (neg.f64 x))
(* -1 (* x (+ (* -1 (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) (.f64 (/.f64 (exp.f64 wj) x) (/.f64 wj (fma.f64 (exp.f64 wj) wj (exp.f64 wj))))) (neg.f64 x))
(* -1 (* x (+ (* -1 (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) (.f64 (/.f64 (exp.f64 wj) x) (/.f64 wj (fma.f64 (exp.f64 wj) wj (exp.f64 wj))))) (neg.f64 x))
(* -1 (/ x (* (exp wj) (+ 1 wj))))
(/.f64 (/.f64 x (exp.f64 wj)) (-.f64 #s(literal -1 binary64) wj))
(* -1 (/ x (* (exp wj) (+ 1 wj))))
(/.f64 (/.f64 x (exp.f64 wj)) (-.f64 #s(literal -1 binary64) wj))
(* -1 (/ x (* (exp wj) (+ 1 wj))))
(/.f64 (/.f64 x (exp.f64 wj)) (-.f64 #s(literal -1 binary64) wj))
(* -1 (/ x (* (exp wj) (+ 1 wj))))
(/.f64 (/.f64 x (exp.f64 wj)) (-.f64 #s(literal -1 binary64) wj))
(/ x (+ (exp wj) (* wj (exp wj))))
(/.f64 x (fma.f64 (exp.f64 wj) wj (exp.f64 wj)))
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(.f64 (-.f64 (/.f64 (-.f64 wj (/.f64 (.f64 (exp.f64 wj) wj) (fma.f64 (exp.f64 wj) wj (exp.f64 wj)))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 wj) wj (exp.f64 wj)))) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(.f64 (-.f64 (/.f64 (-.f64 wj (/.f64 (.f64 (exp.f64 wj) wj) (fma.f64 (exp.f64 wj) wj (exp.f64 wj)))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 wj) wj (exp.f64 wj)))) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(.f64 (-.f64 (/.f64 (-.f64 wj (/.f64 (.f64 (exp.f64 wj) wj) (fma.f64 (exp.f64 wj) wj (exp.f64 wj)))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 wj) wj (exp.f64 wj)))) (neg.f64 x))
(* -1 (/ x (+ (exp wj) (* wj (exp wj)))))
(/.f64 (/.f64 x (exp.f64 wj)) (-.f64 #s(literal -1 binary64) wj))
(* -1 (* x (+ (* -1 (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) (.f64 (/.f64 (exp.f64 wj) x) (/.f64 wj (fma.f64 (exp.f64 wj) wj (exp.f64 wj))))) (neg.f64 x))
(* -1 (* x (+ (* -1 (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) (.f64 (/.f64 (exp.f64 wj) x) (/.f64 wj (fma.f64 (exp.f64 wj) wj (exp.f64 wj))))) (neg.f64 x))
(* -1 (* x (+ (* -1 (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))) (/ 1 (+ (exp wj) (* wj (exp wj)))))))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) (.f64 (/.f64 (exp.f64 wj) x) (/.f64 wj (fma.f64 (exp.f64 wj) wj (exp.f64 wj))))) (neg.f64 x))
(* -8/3 (* wj x))
(.f64 (.f64 #s(literal -8/3 binary64) wj) x)
(* -1 (* x (+ (* -1 (/ (- (* -2 wj) (* -1 (+ 1 wj))) x)) (* 8/3 wj))))
(*.f64 (fma.f64 #s(literal 8/3 binary64) wj (/.f64 (fma.f64 wj #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) wj)) (neg.f64 x))) (neg.f64 x))
(* -1 (* x (+ (* -1 (/ (- (+ (* -2 wj) (* -1 (/ (- (* -3/8 (/ (- 1 (pow wj 2)) wj)) (* -3/8 (/ (* (+ 1 wj) (- (* -2 wj) (* -1 (+ 1 wj)))) wj))) x))) (* -1 (+ 1 wj))) x)) (* 8/3 wj))))
(.f64 (fma.f64 #s(literal 8/3 binary64) wj (/.f64 (-.f64 (fma.f64 wj #s(literal -2 binary64) (/.f64 (.f64 #s(literal 3/8 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 wj wj)) wj) (.f64 (+.f64 #s(literal 1 binary64) wj) (/.f64 (fma.f64 wj #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) wj)) wj)))) x)) (-.f64 #s(literal -1 binary64) wj)) (neg.f64 x))) (neg.f64 x))
(* -1 (* x (+ (* -1 (/ (- (+ (* -2 wj) (* -1 (/ (- (+ (* -3/8 (/ (* (+ 1 wj) (- (* -3/8 (/ (- 1 (pow wj 2)) wj)) (* -3/8 (/ (* (+ 1 wj) (- (* -2 wj) (* -1 (+ 1 wj)))) wj)))) (* wj x))) (* -3/8 (/ (- 1 (pow wj 2)) wj))) (* -3/8 (/ (* (+ 1 wj) (- (* -2 wj) (* -1 (+ 1 wj)))) wj))) x))) (* -1 (+ 1 wj))) x)) (* 8/3 wj))))
(.f64 (fma.f64 #s(literal 8/3 binary64) wj (/.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 wj wj)) wj) (.f64 (+.f64 #s(literal 1 binary64) wj) (/.f64 (fma.f64 wj #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) wj)) wj)))) wj) (/.f64 (+.f64 #s(literal 1 binary64) wj) x) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 wj wj)) wj) (*.f64 (+.f64 #s(literal 1 binary64) wj) (/.f64 (fma.f64 wj #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) wj)) wj))))) x) #s(literal -1 binary64) (fma.f64 wj #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) wj))) (neg.f64 x))) (neg.f64 x))
(* 8/3 x)
(*.f64 #s(literal 8/3 binary64) x)
(* x (+ 8/3 (/ 1 x)))
(fma.f64 #s(literal 8/3 binary64) x #s(literal 1 binary64))
(* x (+ 8/3 (/ 1 x)))
(fma.f64 #s(literal 8/3 binary64) x #s(literal 1 binary64))
(* x (+ 8/3 (/ 1 x)))
(fma.f64 #s(literal 8/3 binary64) x #s(literal 1 binary64))
(* 64/9 (* (pow wj 2) (pow x 2)))
(.f64 (.f64 (.f64 (.f64 x x) wj) wj) #s(literal 64/9 binary64))
(* (pow x 2) (+ (* 16/3 (/ (pow wj 2) x)) (* 64/9 (pow wj 2))))
(.f64 (.f64 (fma.f64 (/.f64 (.f64 wj wj) x) #s(literal 16/3 binary64) (.f64 #s(literal 64/9 binary64) (*.f64 wj wj))) x) x)
(* (pow x 2) (+ (* -1 (/ (+ (* -16/3 (pow wj 2)) (* -1 (/ (pow wj 2) x))) x)) (* 64/9 (pow wj 2))))
(.f64 (fma.f64 (.f64 #s(literal 64/9 binary64) wj) wj (/.f64 (fma.f64 (.f64 #s(literal -16/3 binary64) wj) wj (/.f64 (.f64 (neg.f64 wj) wj) x)) (neg.f64 x))) (*.f64 x x))
(* (pow x 2) (+ (* -1 (/ (+ (* -16/3 (pow wj 2)) (* -1 (/ (pow wj 2) x))) x)) (* 64/9 (pow wj 2))))
(.f64 (fma.f64 (.f64 #s(literal 64/9 binary64) wj) wj (/.f64 (fma.f64 (.f64 #s(literal -16/3 binary64) wj) wj (/.f64 (.f64 (neg.f64 wj) wj) x)) (neg.f64 x))) (*.f64 x x))

rewrite165.0ms (1.8%)

Memory

26.1MiB live, 212.8MiB allocated

Rules

4 784×	`lower-/.f32`
4 776×	`lower-/.f64`
3 898×	`lower-*.f32`
3 892×	`lower-*.f64`
3 312×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	48	414
0	78	405
1	357	347
2	2868	347
0	8847	347

Stop Event

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

Counts

23 → 463

Calls

Call 1

Inputs
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj) #s(literal 2 binary64))) (fma.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj #s(literal 1 binary64)))) wj (.f64 #s(literal -2 binary64) x)) wj x))
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj) #s(literal 2 binary64))) (fma.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj #s(literal 1 binary64)))) wj (.f64 #s(literal -2 binary64) x)) wj x)
(fma.f64 (fma.f64 #s(literal 5/2 binary64) x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj) #s(literal 2 binary64))) (fma.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj #s(literal 1 binary64)))) wj (.f64 #s(literal -2 binary64) x))
(fma.f64 #s(literal 5/2 binary64) x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj) #s(literal 2 binary64))) (fma.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj #s(literal 1 binary64))))
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x)))
#s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x))
(neg.f64 x)
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))))
#s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj)))
(/.f64 wj (+.f64 #s(literal 1 binary64) wj))
(+.f64 #s(literal 1 binary64) wj)
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x #s(approx (* (neg (+ wj 1)) (exp wj)) (fma.f64 (fma.f64 #s(literal -3/2 binary64) wj #s(literal -2 binary64)) wj #s(literal -1 binary64))))))
#s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x #s(approx (* (neg (+ wj 1)) (exp wj)) (fma.f64 (fma.f64 #s(literal -3/2 binary64) wj #s(literal -2 binary64)) wj #s(literal -1 binary64)))))
(/.f64 x #s(approx (* (neg (+ wj 1)) (exp wj)) (fma.f64 (fma.f64 #s(literal -3/2 binary64) wj #s(literal -2 binary64)) wj #s(literal -1 binary64))))
#s(approx (* (neg (+ wj 1)) (exp wj)) (fma.f64 (fma.f64 #s(literal -3/2 binary64) wj #s(literal -2 binary64)) wj #s(literal -1 binary64)))
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (*.f64 #s(approx (neg (+ wj 1)) #s(literal -1 binary64)) (exp.f64 wj)))))
#s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (*.f64 #s(approx (neg (+ wj 1)) #s(literal -1 binary64)) (exp.f64 wj))))
(*.f64 #s(approx (neg (+ wj 1)) #s(literal -1 binary64)) (exp.f64 wj))
#s(approx (neg (+ wj 1)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj) #s(literal 2 binary64))) (fma.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj #s(literal 1 binary64)))
(fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))
(pow.f64 (*.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj) #s(literal 2 binary64))
(fma.f64 (fma.f64 #s(literal -3/2 binary64) wj #s(literal -2 binary64)) wj #s(literal -1 binary64))

Outputs
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eval174.0ms (1.9%)

Memory: 9.5MiB live, 248.1MiB allocated
Compiler: Compiled 27 877 to 3 520 computations (87.4% saved)

prune34.0ms (0.4%)

Memory

5.5MiB live, 81.2MiB allocated

Pruning

21 alts after pruning (11 fresh and 10 done)

	Pruned	Kept	Total
New	938	6	944
Fresh	0	5	5
Picked	1	4	5
Done	0	6	6
Total	939	21	960

Accuracy

100.0%

Counts

960 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	71.5%	(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (*.f64 (-.f64 #s(literal -1 binary64) wj) (exp.f64 wj)))))
	6.1%	(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (*.f64 #s(approx (neg (+ wj 1)) (neg.f64 wj)) (exp.f64 wj)))))
✓	68.7%	(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (*.f64 #s(approx (neg (+ wj 1)) #s(literal -1 binary64)) (exp.f64 wj)))))
	69.3%	(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x #s(approx (* (neg (+ wj 1)) (exp wj)) (fma.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) wj #s(literal -3/2 binary64)) wj #s(literal -2 binary64)) wj #s(literal -1 binary64))))))
✓	69.2%	(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x #s(approx (* (neg (+ wj 1)) (exp wj)) (fma.f64 (fma.f64 #s(literal -3/2 binary64) wj #s(literal -2 binary64)) wj #s(literal -1 binary64))))))
	69.2%	(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x #s(approx (* (neg (+ wj 1)) (exp wj)) (fma.f64 wj #s(literal -2 binary64) #s(literal -1 binary64))))))
	4.8%	(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x #s(approx (* (neg (+ wj 1)) (exp wj)) #s(approx (+ (* (+ (* -3/2 wj) -2) wj) -1) (.f64 (.f64 wj wj) #s(literal -3/2 binary64)))))))
✓	6.4%	(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))))
✓	68.6%	(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x)))
	4.3%	(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(approx (/ wj (+ 1 wj)) (fma.f64 (neg.f64 wj) wj wj))))
	4.3%	(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(approx (/ wj (+ 1 wj)) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) wj) wj #s(literal -1 binary64)) wj #s(literal 1 binary64)) wj))))
✓	4.0%	(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64)))
	76.0%	#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (pow (* (+ (* x 8/3) 1) wj) 2) (.f64 (.f64 (.f64 (.f64 x x) wj) wj) #s(literal 64/9 binary64)))) (fma.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj #s(literal 1 binary64)))) wj (*.f64 #s(literal -2 binary64) x)) wj x))
	95.3%	#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) (/ (- 1 (pow (* (+ (* x 8/3) 1) wj) 2)) (+ (* (+ (* x 8/3) 1) wj) 1))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 wj wj)) (+.f64 #s(literal 1 binary64) wj))) wj (.f64 #s(literal -2 binary64) x)) wj x))
	95.3%	#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) (/ (- 1 (pow (* (+ (* x 8/3) 1) wj) 2)) (+ (* (+ (* x 8/3) 1) wj) 1))) (.f64 (-.f64 (+.f64 (+.f64 #s(literal 5/2 binary64) (/.f64 wj x)) (/.f64 #s(literal 1 binary64) x)) (fma.f64 (/.f64 wj x) #s(literal 2 binary64) (.f64 #s(literal 8/3 binary64) wj))) x)) wj (*.f64 #s(literal -2 binary64) x)) wj x))
✓	95.3%	#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) 1) #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x)) wj x))
✓	81.8%	#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (*.f64 wj x) #s(literal -2 binary64) x))
✓	81.8%	#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 #s(approx (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) (*.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x)) wj x))
	15.9%	#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (.f64 (.f64 (-.f64 #s(literal 1 binary64) wj) wj) wj)))
✓	16.0%	#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) wj) x) (*.f64 wj wj)))
✓	4.2%	#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (* wj x) -2) x) (.f64 (.f64 wj #s(literal -2 binary64)) x)))

Compiler

Compiled 630 to 371 computations (41.1% saved)

regimes27.0ms (0.3%)

Memory

2.2MiB live, 40.0MiB allocated

Counts

28 → 3

Calls

Call 1

Inputs
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64)))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) wj) x) (*.f64 wj wj)))
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x)))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (* wj x) -2) x) (.f64 (.f64 wj #s(literal -2 binary64)) x)))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (*.f64 wj x) #s(literal -2 binary64) x))
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(approx (/ wj (+ 1 wj)) (fma.f64 (neg.f64 wj) wj wj))))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (.f64 (.f64 (-.f64 #s(literal 1 binary64) wj) wj) wj)))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 #s(approx (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) (*.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x)) wj x))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) 1) #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x)) wj x))
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))))
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x #s(approx (* (neg (+ wj 1)) (exp wj)) (fma.f64 wj #s(literal -2 binary64) #s(literal -1 binary64))))))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x)) wj x))
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(approx (/ wj (+ 1 wj)) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) wj) wj #s(literal -1 binary64)) wj #s(literal 1 binary64)) wj))))
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x #s(approx (* (neg (+ wj 1)) (exp wj)) #s(approx (+ (* (+ (* -3/2 wj) -2) wj) -1) (.f64 (.f64 wj wj) #s(literal -3/2 binary64)))))))
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x #s(approx (* (neg (+ wj 1)) (exp wj)) (fma.f64 (fma.f64 #s(literal -3/2 binary64) wj #s(literal -2 binary64)) wj #s(literal -1 binary64))))))
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x #s(approx (* (neg (+ wj 1)) (exp wj)) (fma.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) wj #s(literal -3/2 binary64)) wj #s(literal -2 binary64)) wj #s(literal -1 binary64))))))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) (/ (- 1 (pow (* (+ (* x 8/3) 1) wj) 2)) (+ (* (+ (* x 8/3) 1) wj) 1))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 wj wj)) (+.f64 #s(literal 1 binary64) wj))) wj (.f64 #s(literal -2 binary64) x)) wj x))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (.f64 #s(literal -2 binary64) x)) wj x))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (pow (* (+ (* x 8/3) 1) wj) 2) (.f64 (.f64 (.f64 (.f64 x x) wj) wj) #s(literal 64/9 binary64)))) (fma.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj #s(literal 1 binary64)))) wj (*.f64 #s(literal -2 binary64) x)) wj x))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) (/ (- 1 (pow (* (+ (* x 8/3) 1) wj) 2)) (+ (* (+ (* x 8/3) 1) wj) 1))) (.f64 (-.f64 (+.f64 (+.f64 #s(literal 5/2 binary64) (/.f64 wj x)) (/.f64 #s(literal 1 binary64) x)) (fma.f64 (/.f64 wj x) #s(literal 2 binary64) (.f64 #s(literal 8/3 binary64) wj))) x)) wj (*.f64 #s(literal -2 binary64) x)) wj x))
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (*.f64 #s(approx (neg (+ wj 1)) #s(literal -1 binary64)) (exp.f64 wj)))))
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (*.f64 #s(approx (neg (+ wj 1)) (neg.f64 wj)) (exp.f64 wj)))))
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (*.f64 (-.f64 #s(literal -1 binary64) wj) (exp.f64 wj)))))
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (*.f64 (neg.f64 (+.f64 wj #s(literal 1 binary64))) (exp.f64 wj)))))
(-.f64 wj (/.f64 (-.f64 (.f64 wj (exp.f64 wj)) x) #s(approx (+ (exp wj) ( wj (exp wj))) (fma.f64 #s(literal 2 binary64) wj #s(literal 1 binary64)))))
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) wj)) (neg.f64 (exp.f64 wj)))))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj) #s(literal 2 binary64))) (fma.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj #s(literal 1 binary64)))) wj (.f64 #s(literal -2 binary64) x)) wj x))
(-.f64 wj (/.f64 (-.f64 (.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (.f64 wj (exp.f64 wj)))))

Outputs

(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) wj)) (neg.f64 (exp.f64 wj)))))

#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (pow (* (+ (* x 8/3) 1) wj) 2) (*.f64 (*.f64 (*.f64 (*.f64 x x) wj) wj) #s(literal 64/9 binary64)))) (fma.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj #s(literal 1 binary64)))) wj (*.f64 #s(literal -2 binary64) x)) wj x))

(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (*.f64 (-.f64 #s(literal -1 binary64) wj) (exp.f64 wj)))))

Calls

3 calls:

9.0ms	(-.f64 wj (/.f64 (-.f64 (.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (.f64 wj (exp.f64 wj)))))
8.0ms	x
8.0ms	wj

Results

Accuracy	Segments	Branch
99.3%	3	`wj`
99.9%	3	`x`
99.5%	3	`(-.f64 wj (/.f64 (-.f64 (.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (.f64 wj (exp.f64 wj)))))`

Compiler

Compiled 18 to 12 computations (33.3% saved)

regimes11.0ms (0.1%)

Memory

-29.0MiB live, 14.3MiB allocated

Counts

25 → 3

Calls

Call 1

Inputs
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64)))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) wj) x) (*.f64 wj wj)))
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x)))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (* wj x) -2) x) (.f64 (.f64 wj #s(literal -2 binary64)) x)))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (*.f64 wj x) #s(literal -2 binary64) x))
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(approx (/ wj (+ 1 wj)) (fma.f64 (neg.f64 wj) wj wj))))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (.f64 (.f64 (-.f64 #s(literal 1 binary64) wj) wj) wj)))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 #s(approx (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) (*.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x)) wj x))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) 1) #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x)) wj x))
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))))
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x #s(approx (* (neg (+ wj 1)) (exp wj)) (fma.f64 wj #s(literal -2 binary64) #s(literal -1 binary64))))))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x)) wj x))
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(approx (/ wj (+ 1 wj)) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) wj) wj #s(literal -1 binary64)) wj #s(literal 1 binary64)) wj))))
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x #s(approx (* (neg (+ wj 1)) (exp wj)) #s(approx (+ (* (+ (* -3/2 wj) -2) wj) -1) (.f64 (.f64 wj wj) #s(literal -3/2 binary64)))))))
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x #s(approx (* (neg (+ wj 1)) (exp wj)) (fma.f64 (fma.f64 #s(literal -3/2 binary64) wj #s(literal -2 binary64)) wj #s(literal -1 binary64))))))
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x #s(approx (* (neg (+ wj 1)) (exp wj)) (fma.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) wj #s(literal -3/2 binary64)) wj #s(literal -2 binary64)) wj #s(literal -1 binary64))))))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) (/ (- 1 (pow (* (+ (* x 8/3) 1) wj) 2)) (+ (* (+ (* x 8/3) 1) wj) 1))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 wj wj)) (+.f64 #s(literal 1 binary64) wj))) wj (.f64 #s(literal -2 binary64) x)) wj x))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (.f64 #s(literal -2 binary64) x)) wj x))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (pow (* (+ (* x 8/3) 1) wj) 2) (.f64 (.f64 (.f64 (.f64 x x) wj) wj) #s(literal 64/9 binary64)))) (fma.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj #s(literal 1 binary64)))) wj (*.f64 #s(literal -2 binary64) x)) wj x))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) (/ (- 1 (pow (* (+ (* x 8/3) 1) wj) 2)) (+ (* (+ (* x 8/3) 1) wj) 1))) (.f64 (-.f64 (+.f64 (+.f64 #s(literal 5/2 binary64) (/.f64 wj x)) (/.f64 #s(literal 1 binary64) x)) (fma.f64 (/.f64 wj x) #s(literal 2 binary64) (.f64 #s(literal 8/3 binary64) wj))) x)) wj (*.f64 #s(literal -2 binary64) x)) wj x))
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (*.f64 #s(approx (neg (+ wj 1)) #s(literal -1 binary64)) (exp.f64 wj)))))
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (*.f64 #s(approx (neg (+ wj 1)) (neg.f64 wj)) (exp.f64 wj)))))
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (*.f64 (-.f64 #s(literal -1 binary64) wj) (exp.f64 wj)))))
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (*.f64 (neg.f64 (+.f64 wj #s(literal 1 binary64))) (exp.f64 wj)))))
(-.f64 wj (/.f64 (-.f64 (.f64 wj (exp.f64 wj)) x) #s(approx (+ (exp wj) ( wj (exp wj))) (fma.f64 #s(literal 2 binary64) wj #s(literal 1 binary64)))))

Outputs

(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (*.f64 (-.f64 #s(literal -1 binary64) wj) (exp.f64 wj)))))

#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (pow (* (+ (* x 8/3) 1) wj) 2) (*.f64 (*.f64 (*.f64 (*.f64 x x) wj) wj) #s(literal 64/9 binary64)))) (fma.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj #s(literal 1 binary64)))) wj (*.f64 #s(literal -2 binary64) x)) wj x))

(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (*.f64 (-.f64 #s(literal -1 binary64) wj) (exp.f64 wj)))))

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
99.9%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes21.0ms (0.2%)

Memory

33.3MiB live, 33.3MiB allocated

Counts

22 → 3

Calls

Call 1

Inputs
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64)))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) wj) x) (*.f64 wj wj)))
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x)))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (* wj x) -2) x) (.f64 (.f64 wj #s(literal -2 binary64)) x)))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (*.f64 wj x) #s(literal -2 binary64) x))
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(approx (/ wj (+ 1 wj)) (fma.f64 (neg.f64 wj) wj wj))))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (.f64 (.f64 (-.f64 #s(literal 1 binary64) wj) wj) wj)))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 #s(approx (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) (*.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x)) wj x))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) 1) #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x)) wj x))
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))))
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x #s(approx (* (neg (+ wj 1)) (exp wj)) (fma.f64 wj #s(literal -2 binary64) #s(literal -1 binary64))))))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x)) wj x))
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(approx (/ wj (+ 1 wj)) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) wj) wj #s(literal -1 binary64)) wj #s(literal 1 binary64)) wj))))
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x #s(approx (* (neg (+ wj 1)) (exp wj)) #s(approx (+ (* (+ (* -3/2 wj) -2) wj) -1) (.f64 (.f64 wj wj) #s(literal -3/2 binary64)))))))
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x #s(approx (* (neg (+ wj 1)) (exp wj)) (fma.f64 (fma.f64 #s(literal -3/2 binary64) wj #s(literal -2 binary64)) wj #s(literal -1 binary64))))))
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x #s(approx (* (neg (+ wj 1)) (exp wj)) (fma.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) wj #s(literal -3/2 binary64)) wj #s(literal -2 binary64)) wj #s(literal -1 binary64))))))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) (/ (- 1 (pow (* (+ (* x 8/3) 1) wj) 2)) (+ (* (+ (* x 8/3) 1) wj) 1))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 wj wj)) (+.f64 #s(literal 1 binary64) wj))) wj (.f64 #s(literal -2 binary64) x)) wj x))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (.f64 #s(literal -2 binary64) x)) wj x))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (pow (* (+ (* x 8/3) 1) wj) 2) (.f64 (.f64 (.f64 (.f64 x x) wj) wj) #s(literal 64/9 binary64)))) (fma.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj #s(literal 1 binary64)))) wj (*.f64 #s(literal -2 binary64) x)) wj x))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) (/ (- 1 (pow (* (+ (* x 8/3) 1) wj) 2)) (+ (* (+ (* x 8/3) 1) wj) 1))) (.f64 (-.f64 (+.f64 (+.f64 #s(literal 5/2 binary64) (/.f64 wj x)) (/.f64 #s(literal 1 binary64) x)) (fma.f64 (/.f64 wj x) #s(literal 2 binary64) (.f64 #s(literal 8/3 binary64) wj))) x)) wj (*.f64 #s(literal -2 binary64) x)) wj x))
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (*.f64 #s(approx (neg (+ wj 1)) #s(literal -1 binary64)) (exp.f64 wj)))))
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (*.f64 #s(approx (neg (+ wj 1)) (neg.f64 wj)) (exp.f64 wj)))))

Outputs

(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (*.f64 #s(approx (neg (+ wj 1)) (neg.f64 wj)) (exp.f64 wj)))))

#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj x))

#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (pow (* (+ (* x 8/3) 1) wj) 2) (*.f64 (*.f64 (*.f64 (*.f64 x x) wj) wj) #s(literal 64/9 binary64)))) (fma.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj #s(literal 1 binary64)))) wj (*.f64 #s(literal -2 binary64) x)) wj x))

Calls

3 calls:

7.0ms	x
6.0ms	wj
6.0ms	(-.f64 wj (/.f64 (-.f64 (.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (.f64 wj (exp.f64 wj)))))

Results

Accuracy	Segments	Branch
99.3%	3	`wj`
95.4%	1	`(-.f64 wj (/.f64 (-.f64 (.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (.f64 wj (exp.f64 wj)))))`
95.4%	1	`x`

Compiler

Compiled 18 to 12 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory

-25.4MiB live, 12.5MiB allocated

Counts

21 → 2

Calls

Call 1

Inputs
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64)))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) wj) x) (*.f64 wj wj)))
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x)))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (* wj x) -2) x) (.f64 (.f64 wj #s(literal -2 binary64)) x)))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (*.f64 wj x) #s(literal -2 binary64) x))
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(approx (/ wj (+ 1 wj)) (fma.f64 (neg.f64 wj) wj wj))))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (.f64 (.f64 (-.f64 #s(literal 1 binary64) wj) wj) wj)))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 #s(approx (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) (*.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x)) wj x))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) 1) #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x)) wj x))
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))))
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x #s(approx (* (neg (+ wj 1)) (exp wj)) (fma.f64 wj #s(literal -2 binary64) #s(literal -1 binary64))))))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x)) wj x))
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(approx (/ wj (+ 1 wj)) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) wj) wj #s(literal -1 binary64)) wj #s(literal 1 binary64)) wj))))
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x #s(approx (* (neg (+ wj 1)) (exp wj)) #s(approx (+ (* (+ (* -3/2 wj) -2) wj) -1) (.f64 (.f64 wj wj) #s(literal -3/2 binary64)))))))
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x #s(approx (* (neg (+ wj 1)) (exp wj)) (fma.f64 (fma.f64 #s(literal -3/2 binary64) wj #s(literal -2 binary64)) wj #s(literal -1 binary64))))))
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x #s(approx (* (neg (+ wj 1)) (exp wj)) (fma.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) wj #s(literal -3/2 binary64)) wj #s(literal -2 binary64)) wj #s(literal -1 binary64))))))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) (/ (- 1 (pow (* (+ (* x 8/3) 1) wj) 2)) (+ (* (+ (* x 8/3) 1) wj) 1))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 wj wj)) (+.f64 #s(literal 1 binary64) wj))) wj (.f64 #s(literal -2 binary64) x)) wj x))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (.f64 #s(literal -2 binary64) x)) wj x))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (pow (* (+ (* x 8/3) 1) wj) 2) (.f64 (.f64 (.f64 (.f64 x x) wj) wj) #s(literal 64/9 binary64)))) (fma.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj #s(literal 1 binary64)))) wj (*.f64 #s(literal -2 binary64) x)) wj x))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) (/ (- 1 (pow (* (+ (* x 8/3) 1) wj) 2)) (+ (* (+ (* x 8/3) 1) wj) 1))) (.f64 (-.f64 (+.f64 (+.f64 #s(literal 5/2 binary64) (/.f64 wj x)) (/.f64 #s(literal 1 binary64) x)) (fma.f64 (/.f64 wj x) #s(literal 2 binary64) (.f64 #s(literal 8/3 binary64) wj))) x)) wj (*.f64 #s(literal -2 binary64) x)) wj x))
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (*.f64 #s(approx (neg (+ wj 1)) #s(literal -1 binary64)) (exp.f64 wj)))))

Outputs

#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj x))

#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (pow (* (+ (* x 8/3) 1) wj) 2) (*.f64 (*.f64 (*.f64 (*.f64 x x) wj) wj) #s(literal 64/9 binary64)))) (fma.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj #s(literal 1 binary64)))) wj (*.f64 #s(literal -2 binary64) x)) wj x))

Calls

1 calls:

6.0ms

wj

Results

Accuracy	Segments	Branch
97.2%	2	`wj`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes7.0ms (0.1%)

Memory

11.1MiB live, 11.1MiB allocated

Counts

18 → 2

Calls

Call 1

Inputs
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64)))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) wj) x) (*.f64 wj wj)))
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x)))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (* wj x) -2) x) (.f64 (.f64 wj #s(literal -2 binary64)) x)))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (*.f64 wj x) #s(literal -2 binary64) x))
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(approx (/ wj (+ 1 wj)) (fma.f64 (neg.f64 wj) wj wj))))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (.f64 (.f64 (-.f64 #s(literal 1 binary64) wj) wj) wj)))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 #s(approx (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) (*.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x)) wj x))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) 1) #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x)) wj x))
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))))
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x #s(approx (* (neg (+ wj 1)) (exp wj)) (fma.f64 wj #s(literal -2 binary64) #s(literal -1 binary64))))))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x)) wj x))
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(approx (/ wj (+ 1 wj)) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) wj) wj #s(literal -1 binary64)) wj #s(literal 1 binary64)) wj))))
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x #s(approx (* (neg (+ wj 1)) (exp wj)) #s(approx (+ (* (+ (* -3/2 wj) -2) wj) -1) (.f64 (.f64 wj wj) #s(literal -3/2 binary64)))))))
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x #s(approx (* (neg (+ wj 1)) (exp wj)) (fma.f64 (fma.f64 #s(literal -3/2 binary64) wj #s(literal -2 binary64)) wj #s(literal -1 binary64))))))
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x #s(approx (* (neg (+ wj 1)) (exp wj)) (fma.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) wj #s(literal -3/2 binary64)) wj #s(literal -2 binary64)) wj #s(literal -1 binary64))))))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) (/ (- 1 (pow (* (+ (* x 8/3) 1) wj) 2)) (+ (* (+ (* x 8/3) 1) wj) 1))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 wj wj)) (+.f64 #s(literal 1 binary64) wj))) wj (.f64 #s(literal -2 binary64) x)) wj x))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (.f64 #s(literal -2 binary64) x)) wj x))

Outputs

#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj x))

(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))))

Calls

1 calls:

6.0ms

wj

Results

Accuracy	Segments	Branch
97.2%	2	`wj`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes7.0ms (0.1%)

Memory

10.9MiB live, 10.9MiB allocated

Counts

17 → 2

Calls

Call 1

Inputs
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64)))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) wj) x) (*.f64 wj wj)))
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x)))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (* wj x) -2) x) (.f64 (.f64 wj #s(literal -2 binary64)) x)))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (*.f64 wj x) #s(literal -2 binary64) x))
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(approx (/ wj (+ 1 wj)) (fma.f64 (neg.f64 wj) wj wj))))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (.f64 (.f64 (-.f64 #s(literal 1 binary64) wj) wj) wj)))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 #s(approx (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) (*.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x)) wj x))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) 1) #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x)) wj x))
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))))
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x #s(approx (* (neg (+ wj 1)) (exp wj)) (fma.f64 wj #s(literal -2 binary64) #s(literal -1 binary64))))))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x)) wj x))
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(approx (/ wj (+ 1 wj)) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) wj) wj #s(literal -1 binary64)) wj #s(literal 1 binary64)) wj))))
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x #s(approx (* (neg (+ wj 1)) (exp wj)) #s(approx (+ (* (+ (* -3/2 wj) -2) wj) -1) (.f64 (.f64 wj wj) #s(literal -3/2 binary64)))))))
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x #s(approx (* (neg (+ wj 1)) (exp wj)) (fma.f64 (fma.f64 #s(literal -3/2 binary64) wj #s(literal -2 binary64)) wj #s(literal -1 binary64))))))
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x #s(approx (* (neg (+ wj 1)) (exp wj)) (fma.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) wj #s(literal -3/2 binary64)) wj #s(literal -2 binary64)) wj #s(literal -1 binary64))))))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) (/ (- 1 (pow (* (+ (* x 8/3) 1) wj) 2)) (+ (* (+ (* x 8/3) 1) wj) 1))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 wj wj)) (+.f64 #s(literal 1 binary64) wj))) wj (.f64 #s(literal -2 binary64) x)) wj x))

Outputs

#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) (/ (- 1 (pow (* (+ (* x 8/3) 1) wj) 2)) (+ (* (+ (* x 8/3) 1) wj) 1))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 wj wj)) (+.f64 #s(literal 1 binary64) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj x))

(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))))

Calls

1 calls:

5.0ms

wj

Results

Accuracy	Segments	Branch
97.2%	2	`wj`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes7.0ms (0.1%)

Memory

-27.0MiB live, 10.9MiB allocated

Counts

16 → 2

Calls

Call 1

Inputs
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64)))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) wj) x) (*.f64 wj wj)))
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x)))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (* wj x) -2) x) (.f64 (.f64 wj #s(literal -2 binary64)) x)))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (*.f64 wj x) #s(literal -2 binary64) x))
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(approx (/ wj (+ 1 wj)) (fma.f64 (neg.f64 wj) wj wj))))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (.f64 (.f64 (-.f64 #s(literal 1 binary64) wj) wj) wj)))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 #s(approx (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) (*.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x)) wj x))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) 1) #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x)) wj x))
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))))
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x #s(approx (* (neg (+ wj 1)) (exp wj)) (fma.f64 wj #s(literal -2 binary64) #s(literal -1 binary64))))))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x)) wj x))
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(approx (/ wj (+ 1 wj)) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) wj) wj #s(literal -1 binary64)) wj #s(literal 1 binary64)) wj))))
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x #s(approx (* (neg (+ wj 1)) (exp wj)) #s(approx (+ (* (+ (* -3/2 wj) -2) wj) -1) (.f64 (.f64 wj wj) #s(literal -3/2 binary64)))))))
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x #s(approx (* (neg (+ wj 1)) (exp wj)) (fma.f64 (fma.f64 #s(literal -3/2 binary64) wj #s(literal -2 binary64)) wj #s(literal -1 binary64))))))
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x #s(approx (* (neg (+ wj 1)) (exp wj)) (fma.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) wj #s(literal -3/2 binary64)) wj #s(literal -2 binary64)) wj #s(literal -1 binary64))))))

Outputs

#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x)) wj x))

(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))))

Calls

1 calls:

6.0ms

wj

Results

Accuracy	Segments	Branch
97.1%	2	`wj`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes5.0ms (0.1%)

Memory

13.5MiB live, 13.5MiB allocated

Counts

11 → 2

Calls

Call 1

Inputs
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64)))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) wj) x) (*.f64 wj wj)))
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x)))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (* wj x) -2) x) (.f64 (.f64 wj #s(literal -2 binary64)) x)))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (*.f64 wj x) #s(literal -2 binary64) x))
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(approx (/ wj (+ 1 wj)) (fma.f64 (neg.f64 wj) wj wj))))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (.f64 (.f64 (-.f64 #s(literal 1 binary64) wj) wj) wj)))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 #s(approx (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) (*.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x)) wj x))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) 1) #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x)) wj x))
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))))
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x #s(approx (* (neg (+ wj 1)) (exp wj)) (fma.f64 wj #s(literal -2 binary64) #s(literal -1 binary64))))))

Outputs

#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) 1) #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x)) wj x))

(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))))

Calls

1 calls:

4.0ms

wj

Results

Accuracy	Segments	Branch
97.1%	2	`wj`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes15.0ms (0.2%)

Memory

-7.9MiB live, 26.8MiB allocated

Counts

9 → 1

Calls

Call 1

Inputs
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64)))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) wj) x) (*.f64 wj wj)))
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x)))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (* wj x) -2) x) (.f64 (.f64 wj #s(literal -2 binary64)) x)))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (*.f64 wj x) #s(literal -2 binary64) x))
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(approx (/ wj (+ 1 wj)) (fma.f64 (neg.f64 wj) wj wj))))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (.f64 (.f64 (-.f64 #s(literal 1 binary64) wj) wj) wj)))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 #s(approx (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) (*.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x)) wj x))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) 1) #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x)) wj x))

Outputs
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) 1) #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x)) wj x))

Calls

3 calls:

8.0ms	x
4.0ms	wj
3.0ms	(-.f64 wj (/.f64 (-.f64 (.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (.f64 wj (exp.f64 wj)))))

Results

Accuracy	Segments	Branch
95.3%	1	`x`
95.3%	1	`(-.f64 wj (/.f64 (-.f64 (.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (.f64 wj (exp.f64 wj)))))`
95.3%	1	`wj`

Compiler

Compiled 18 to 12 computations (33.3% saved)

regimes10.0ms (0.1%)

Memory

19.2MiB live, 19.2MiB allocated

Counts

8 → 1

Calls

Call 1

Inputs
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64)))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) wj) x) (*.f64 wj wj)))
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x)))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (* wj x) -2) x) (.f64 (.f64 wj #s(literal -2 binary64)) x)))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (*.f64 wj x) #s(literal -2 binary64) x))
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(approx (/ wj (+ 1 wj)) (fma.f64 (neg.f64 wj) wj wj))))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (.f64 (.f64 (-.f64 #s(literal 1 binary64) wj) wj) wj)))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 #s(approx (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) (*.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x)) wj x))

Outputs

#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 #s(approx (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) (*.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x)) wj x))

Calls

3 calls:

3.0ms	x
3.0ms	wj
3.0ms	(-.f64 wj (/.f64 (-.f64 (.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (.f64 wj (exp.f64 wj)))))

Results

Accuracy	Segments	Branch
81.8%	1	`wj`
81.8%	1	`x`
81.8%	1	`(-.f64 wj (/.f64 (-.f64 (.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (.f64 wj (exp.f64 wj)))))`

Compiler

Compiled 18 to 12 computations (33.3% saved)

regimes17.0ms (0.2%)

Memory

-21.7MiB live, 18.2MiB allocated

Counts

7 → 1

Calls

Call 1

Inputs
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64)))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) wj) x) (*.f64 wj wj)))
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x)))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (* wj x) -2) x) (.f64 (.f64 wj #s(literal -2 binary64)) x)))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (*.f64 wj x) #s(literal -2 binary64) x))
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(approx (/ wj (+ 1 wj)) (fma.f64 (neg.f64 wj) wj wj))))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (.f64 (.f64 (-.f64 #s(literal 1 binary64) wj) wj) wj)))

Outputs
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (*.f64 wj x) #s(literal -2 binary64) x))

Calls

3 calls:

10.0ms	wj
3.0ms	x
3.0ms	(-.f64 wj (/.f64 (-.f64 (.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (.f64 wj (exp.f64 wj)))))

Results

Accuracy	Segments	Branch
81.8%	1	`wj`
81.8%	1	`(-.f64 wj (/.f64 (-.f64 (.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (.f64 wj (exp.f64 wj)))))`
81.8%	1	`x`

Compiler

Compiled 18 to 12 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory

14.3MiB live, 14.3MiB allocated

Counts

4 → 3

Calls

Call 1

Inputs
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64)))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) wj) x) (*.f64 wj wj)))
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x)))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (* wj x) -2) x) (.f64 (.f64 wj #s(literal -2 binary64)) x)))

Outputs

(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x)))

#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) wj) x) (*.f64 wj wj)))

(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x)))

Calls

3 calls:

2.0ms	wj
2.0ms	x
2.0ms	(-.f64 wj (/.f64 (-.f64 (.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (.f64 wj (exp.f64 wj)))))

Results

Accuracy	Segments	Branch
70.3%	2	`wj`
75.0%	3	`x`
80.2%	3	`(-.f64 wj (/.f64 (-.f64 (.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (.f64 wj (exp.f64 wj)))))`

Compiler

Compiled 18 to 12 computations (33.3% saved)

regimes5.0ms (0.1%)

Memory

11.2MiB live, 11.2MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64)))

#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) wj) x) (*.f64 wj wj)))

Outputs
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) wj) x) (*.f64 wj wj)))

Calls

3 calls:

2.0ms	x
2.0ms	wj
1.0ms	(-.f64 wj (/.f64 (-.f64 (.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (.f64 wj (exp.f64 wj)))))

Results

Accuracy	Segments	Branch
16.0%	1	`wj`
16.0%	1	`x`
16.0%	1	`(-.f64 wj (/.f64 (-.f64 (.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (.f64 wj (exp.f64 wj)))))`

Compiler

Compiled 18 to 12 computations (33.3% saved)

regimes4.0ms (0%)

Memory

9.7MiB live, 9.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64)))

Outputs
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64)))

Calls

3 calls:

1.0ms	wj
1.0ms	x
1.0ms	(-.f64 wj (/.f64 (-.f64 (.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (.f64 wj (exp.f64 wj)))))

Results

Accuracy	Segments	Branch
4.0%	1	`x`
4.0%	1	`(-.f64 wj (/.f64 (-.f64 (.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (.f64 wj (exp.f64 wj)))))`
4.0%	1	`wj`

Compiler

Compiled 18 to 12 computations (33.3% saved)

bsearch17.0ms (0.2%)

Memory

-16.8MiB live, 21.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	predicate-same

Steps

Time	Left	Right
10.0ms	5.227439315959748e-15	4.941158666293095e-7
5.0ms	-3550064.784240171	-5380.4143449427365

Samples

10.0ms

112×

valid

Compiler

Compiled 321 to 238 computations (25.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-div: 1.0ms (23.7% of total)

ival-sub: 1.0ms (23.7% of total)

ival-exp: 1.0ms (23.7% of total)

ival-mult: 1.0ms (23.7% of total)

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

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

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

bsearch2.0ms (0%)

Memory

3.1MiB live, 3.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	predicate-same

Steps

Time	Left	Right
1.0ms	5.227439315959748e-15	4.941158666293095e-7
0.0ms	-3550064.784240171	-5380.4143449427365

Compiler

Compiled 320 to 237 computations (25.9% saved)

bsearch36.0ms (0.4%)

Memory

12.2MiB live, 49.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	3.180327174674966e-8	7.695259164120646e-7
21.0ms	-166.6590176879694	-1.0481093864239128e-10

Samples

21.0ms

272×

valid

Compiler

Compiled 744 to 556 computations (25.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-exp: 8.0ms (53.5% of total)

ival-sub: 3.0ms (20.1% of total)

ival-div: 2.0ms (13.4% of total)

ival-mult: 2.0ms (13.4% of total)

ival-add: 1.0ms (6.7% of total)

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

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

bsearch2.0ms (0%)

Memory

3.1MiB live, 3.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.180327174674966e-8	7.695259164120646e-7

Compiler

Compiled 404 to 286 computations (29.2% saved)

bsearch21.0ms (0.2%)

Memory

-11.3MiB live, 25.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	7.695259164120646e-7	6.309513197985153

Samples

9.0ms

144×

valid

Compiler

Compiled 298 to 238 computations (20.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-div: 1.0ms (18.1% of total)

ival-sub: 1.0ms (18.1% of total)

ival-exp: 1.0ms (18.1% of total)

ival-add: 1.0ms (18.1% of total)

ival-mult: 1.0ms (18.1% of total)

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

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

bsearch1.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	7.695259164120646e-7	6.309513197985153

Compiler

Compiled 262 to 211 computations (19.5% saved)

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.180327174674966e-8	7.695259164120646e-7

Compiler

Compiled 166 to 146 computations (12% saved)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.180327174674966e-8	7.695259164120646e-7

Compiler

Compiled 152 to 139 computations (8.6% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	2.2798640136198013e-299
0.0ms	-3.4039678639757215e-277	0.0

Compiler

Compiled 19 to 13 computations (31.6% saved)

simplify73.0ms (0.8%)

Memory

-25.0MiB live, 61.2MiB allocated

Algorithm

1×	egg-herbie

Rules

328×	`distribute-lft-neg-in-binary64-*.f64-neg.f64`
210×	`neg-mul-1-binary64-*.f64-neg.f64`
194×	`neg-sub0-binary64--.f64-neg.f64`
154×	`sub-neg-binary64-neg.f64-+.f64--.f64`
136×	`+-commutative-binary64-+.f64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	135	987
1	184	987
2	237	987
3	279	987
4	324	987
5	379	986
6	460	986
7	570	986
8	696	986
9	837	986
10	977	986
11	1075	986
12	1125	986
13	1141	986
14	1145	986

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal -2000000 binary64)) (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) wj)) (neg.f64 (exp.f64 wj))))) (if (<=.f64 x #s(literal 6189700196426901/1237940039285380274899124224 binary64)) #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (pow (* (+ (* x 8/3) 1) wj) 2) (.f64 (.f64 (.f64 (.f64 x x) wj) wj) #s(literal 64/9 binary64)))) (fma.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj #s(literal 1 binary64)))) wj (.f64 #s(literal -2 binary64) x)) wj x)) (-.f64 wj #s(approx (/ (- ( wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (*.f64 (-.f64 #s(literal -1 binary64) wj) (exp.f64 wj)))))))
(if (<=.f64 x #s(literal -2000000 binary64)) (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (.f64 (-.f64 #s(literal -1 binary64) wj) (exp.f64 wj))))) (if (<=.f64 x #s(literal 6189700196426901/1237940039285380274899124224 binary64)) #s(approx (- wj (/ (- ( wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (pow (* (+ (* x 8/3) 1) wj) 2) (.f64 (.f64 (.f64 (.f64 x x) wj) wj) #s(literal 64/9 binary64)))) (fma.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj #s(literal 1 binary64)))) wj (.f64 #s(literal -2 binary64) x)) wj x)) (-.f64 wj #s(approx (/ (- ( wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (*.f64 (-.f64 #s(literal -1 binary64) wj) (exp.f64 wj)))))))
(if (<=.f64 wj #s(literal -1 binary64)) (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (.f64 #s(approx (neg (+ wj 1)) (neg.f64 wj)) (exp.f64 wj))))) (if (<=.f64 wj #s(literal 7177997053961861/9444732965739290427392 binary64)) #s(approx (- wj (/ (- ( wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (.f64 #s(literal -2 binary64) x)) wj x)) #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (pow (* (+ (* x 8/3) 1) wj) 2) (.f64 (.f64 (.f64 (.f64 x x) wj) wj) #s(literal 64/9 binary64)))) (fma.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj #s(literal 1 binary64)))) wj (*.f64 #s(literal -2 binary64) x)) wj x))))
(if (<=.f64 wj #s(literal 7177997053961861/9444732965739290427392 binary64)) #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (.f64 #s(literal -2 binary64) x)) wj x)) #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (pow (* (+ (* x 8/3) 1) wj) 2) (.f64 (.f64 (.f64 (.f64 x x) wj) wj) #s(literal 64/9 binary64)))) (fma.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj #s(literal 1 binary64)))) wj (*.f64 #s(literal -2 binary64) x)) wj x)))
(if (<=.f64 wj #s(literal 5072854620270127/2305843009213693952 binary64)) #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (.f64 #s(literal -2 binary64) x)) wj x)) (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj)))))
(if (<=.f64 wj #s(literal 5072854620270127/2305843009213693952 binary64)) #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) (/ (- 1 (pow (* (+ (* x 8/3) 1) wj) 2)) (+ (* (+ (* x 8/3) 1) wj) 1))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 wj wj)) (+.f64 #s(literal 1 binary64) wj))) wj (.f64 #s(literal -2 binary64) x)) wj x)) (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj)))))
(if (<=.f64 wj #s(literal 7177997053961861/9444732965739290427392 binary64)) #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) wj (.f64 #s(literal -2 binary64) x)) wj x)) (-.f64 wj #s(approx (/ (- ( wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj)))))
(if (<=.f64 wj #s(literal 7177997053961861/9444732965739290427392 binary64)) #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) 1) #s(literal 1 binary64)) wj (.f64 #s(literal -2 binary64) x)) wj x)) (-.f64 wj #s(approx (/ (- ( wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj)))))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) 1) #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x)) wj x))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 #s(approx (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) (*.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x)) wj x))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (*.f64 wj x) #s(literal -2 binary64) x))
(if (<=.f64 (-.f64 wj (/.f64 (-.f64 (.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (.f64 wj (exp.f64 wj))))) #s(literal -7983361238138879/39916806190694396233127454260736771321349025208709150830050944848744237837379281315699159309852714021786848936883849904879448759767871873214783435965696628406400113459021713530350754428887259743653067134890878479866616209102417407777777105368960883150142418137515120832847169904606880198557696 binary64)) (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x))) (if (<=.f64 (-.f64 wj (/.f64 (-.f64 (.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (.f64 wj (exp.f64 wj))))) #s(literal 0 binary64)) #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) wj) x) (.f64 wj wj))) (-.f64 wj #s(approx (/ (- ( wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x)))))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) wj) x) (*.f64 wj wj)))
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64)))

Outputs
(if (<=.f64 x #s(literal -2000000 binary64)) (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) wj)) (neg.f64 (exp.f64 wj))))) (if (<=.f64 x #s(literal 6189700196426901/1237940039285380274899124224 binary64)) #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (pow (* (+ (* x 8/3) 1) wj) 2) (.f64 (.f64 (.f64 (.f64 x x) wj) wj) #s(literal 64/9 binary64)))) (fma.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj #s(literal 1 binary64)))) wj (.f64 #s(literal -2 binary64) x)) wj x)) (-.f64 wj #s(approx (/ (- ( wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (*.f64 (-.f64 #s(literal -1 binary64) wj) (exp.f64 wj)))))))
(if (<=.f64 x #s(literal -2000000 binary64)) (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 (/.f64 x (-.f64 #s(literal -1 binary64) wj)) (exp.f64 wj)))) (if (<=.f64 x #s(literal 6189700196426901/1237940039285380274899124224 binary64)) #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (pow (* (+ (* x 8/3) 1) wj) 2) (.f64 #s(literal 64/9 binary64) (.f64 (.f64 (.f64 x x) wj) wj)))) (fma.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj #s(literal 1 binary64)))) wj (.f64 #s(literal -2 binary64) x)) wj x)) (-.f64 wj #s(approx (/ (- ( wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (*.f64 (-.f64 #s(literal -1 binary64) wj) (exp.f64 wj)))))))
(if (<=.f64 x #s(literal -2000000 binary64)) (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (.f64 (-.f64 #s(literal -1 binary64) wj) (exp.f64 wj))))) (if (<=.f64 x #s(literal 6189700196426901/1237940039285380274899124224 binary64)) #s(approx (- wj (/ (- ( wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (pow (* (+ (* x 8/3) 1) wj) 2) (.f64 (.f64 (.f64 (.f64 x x) wj) wj) #s(literal 64/9 binary64)))) (fma.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj #s(literal 1 binary64)))) wj (.f64 #s(literal -2 binary64) x)) wj x)) (-.f64 wj #s(approx (/ (- ( wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (*.f64 (-.f64 #s(literal -1 binary64) wj) (exp.f64 wj)))))))
(if (<=.f64 x #s(literal -2000000 binary64)) (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (.f64 (-.f64 #s(literal -1 binary64) wj) (exp.f64 wj))))) (if (<=.f64 x #s(literal 6189700196426901/1237940039285380274899124224 binary64)) #s(approx (- wj (/ (- ( wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (pow (* (+ (* x 8/3) 1) wj) 2) (.f64 #s(literal 64/9 binary64) (.f64 (.f64 (.f64 x x) wj) wj)))) (fma.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj #s(literal 1 binary64)))) wj (.f64 #s(literal -2 binary64) x)) wj x)) (-.f64 wj #s(approx (/ (- ( wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (*.f64 (-.f64 #s(literal -1 binary64) wj) (exp.f64 wj)))))))
(if (<=.f64 wj #s(literal -1 binary64)) (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (.f64 #s(approx (neg (+ wj 1)) (neg.f64 wj)) (exp.f64 wj))))) (if (<=.f64 wj #s(literal 7177997053961861/9444732965739290427392 binary64)) #s(approx (- wj (/ (- ( wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (.f64 #s(literal -2 binary64) x)) wj x)) #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (pow (* (+ (* x 8/3) 1) wj) 2) (.f64 (.f64 (.f64 (.f64 x x) wj) wj) #s(literal 64/9 binary64)))) (fma.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj #s(literal 1 binary64)))) wj (*.f64 #s(literal -2 binary64) x)) wj x))))
(if (<=.f64 wj #s(literal -1 binary64)) (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (.f64 #s(approx (neg (+ wj 1)) (neg.f64 wj)) (exp.f64 wj))))) (if (<=.f64 wj #s(literal 7177997053961861/9444732965739290427392 binary64)) #s(approx (- wj (/ (- ( wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (.f64 #s(literal -2 binary64) x)) wj x)) #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (pow (* (+ (* x 8/3) 1) wj) 2) (.f64 #s(literal 64/9 binary64) (.f64 (.f64 (.f64 x x) wj) wj)))) (fma.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj #s(literal 1 binary64)))) wj (*.f64 #s(literal -2 binary64) x)) wj x))))
(if (<=.f64 wj #s(literal 7177997053961861/9444732965739290427392 binary64)) #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (.f64 #s(literal -2 binary64) x)) wj x)) #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (pow (* (+ (* x 8/3) 1) wj) 2) (.f64 (.f64 (.f64 (.f64 x x) wj) wj) #s(literal 64/9 binary64)))) (fma.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj #s(literal 1 binary64)))) wj (*.f64 #s(literal -2 binary64) x)) wj x)))
(if (<=.f64 wj #s(literal 7177997053961861/9444732965739290427392 binary64)) #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (.f64 #s(literal -2 binary64) x)) wj x)) #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (pow (* (+ (* x 8/3) 1) wj) 2) (.f64 #s(literal 64/9 binary64) (.f64 (.f64 (.f64 x x) wj) wj)))) (fma.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) wj #s(literal 1 binary64)))) wj (*.f64 #s(literal -2 binary64) x)) wj x)))
(if (<=.f64 wj #s(literal 5072854620270127/2305843009213693952 binary64)) #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (.f64 #s(literal -2 binary64) x)) wj x)) (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj)))))
(if (<=.f64 wj #s(literal 5072854620270127/2305843009213693952 binary64)) #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (.f64 #s(literal -2 binary64) x)) wj x)) (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (-.f64 wj #s(literal -1 binary64))))))
(if (<=.f64 wj #s(literal 5072854620270127/2305843009213693952 binary64)) #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) (/ (- 1 (pow (* (+ (* x 8/3) 1) wj) 2)) (+ (* (+ (* x 8/3) 1) wj) 1))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 wj wj)) (+.f64 #s(literal 1 binary64) wj))) wj (.f64 #s(literal -2 binary64) x)) wj x)) (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj)))))
(if (<=.f64 wj #s(literal 5072854620270127/2305843009213693952 binary64)) #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) (/ (- 1 (pow (* (+ (* x 8/3) 1) wj) 2)) (+ (* (+ (* x 8/3) 1) wj) 1))) (/.f64 (+.f64 (.f64 wj wj) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) wj))) wj (.f64 #s(literal -2 binary64) x)) wj x)) (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (-.f64 wj #s(literal -1 binary64))))))
(if (<=.f64 wj #s(literal 7177997053961861/9444732965739290427392 binary64)) #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) wj (.f64 #s(literal -2 binary64) x)) wj x)) (-.f64 wj #s(approx (/ (- ( wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj)))))
(if (<=.f64 wj #s(literal 7177997053961861/9444732965739290427392 binary64)) #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) wj (.f64 #s(literal -2 binary64) x)) wj x)) (-.f64 wj #s(approx (/ (- ( wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (-.f64 wj #s(literal -1 binary64))))))
(if (<=.f64 wj #s(literal 7177997053961861/9444732965739290427392 binary64)) #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) 1) #s(literal 1 binary64)) wj (.f64 #s(literal -2 binary64) x)) wj x)) (-.f64 wj #s(approx (/ (- ( wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj)))))
(if (<=.f64 wj #s(literal 7177997053961861/9444732965739290427392 binary64)) #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) 1) #s(literal 1 binary64)) wj (.f64 #s(literal -2 binary64) x)) wj x)) (-.f64 wj #s(approx (/ (- ( wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (-.f64 wj #s(literal -1 binary64))))))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) 1) #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x)) wj x))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 #s(approx (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) (*.f64 (fma.f64 #s(literal 5/2 binary64) wj #s(literal -2 binary64)) x)) wj x))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (*.f64 wj x) #s(literal -2 binary64) x))
(if (<=.f64 (-.f64 wj (/.f64 (-.f64 (.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (.f64 wj (exp.f64 wj))))) #s(literal -7983361238138879/39916806190694396233127454260736771321349025208709150830050944848744237837379281315699159309852714021786848936883849904879448759767871873214783435965696628406400113459021713530350754428887259743653067134890878479866616209102417407777777105368960883150142418137515120832847169904606880198557696 binary64)) (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x))) (if (<=.f64 (-.f64 wj (/.f64 (-.f64 (.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (.f64 wj (exp.f64 wj))))) #s(literal 0 binary64)) #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) wj) x) (.f64 wj wj))) (-.f64 wj #s(approx (/ (- ( wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x)))))
(if (<=.f64 (-.f64 wj (/.f64 (-.f64 (.f64 (exp.f64 wj) wj) x) (+.f64 (.f64 (exp.f64 wj) wj) (exp.f64 wj)))) #s(literal -7983361238138879/39916806190694396233127454260736771321349025208709150830050944848744237837379281315699159309852714021786848936883849904879448759767871873214783435965696628406400113459021713530350754428887259743653067134890878479866616209102417407777777105368960883150142418137515120832847169904606880198557696 binary64)) (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x))) (if (<=.f64 (-.f64 wj (/.f64 (-.f64 (.f64 (exp.f64 wj) wj) x) (+.f64 (.f64 (exp.f64 wj) wj) (exp.f64 wj)))) #s(literal 0 binary64)) #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) wj) x) (.f64 wj wj))) (-.f64 wj #s(approx (/ (- ( wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x)))))
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) 1) wj) (* -2 x)) wj) x) (*.f64 wj wj)))
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64)))

soundness2.0s (21.3%)

Memory

-22.0MiB live, 1 066.7MiB allocated

Rules

22 752×	`lower-fma.f64`
22 752×	`lower-fma.f32`
16 880×	`lower-fma.f64`
16 880×	`lower-fma.f32`
13 414×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	229	1279
1	703	1230
2	2140	1025
3	7956	962
0	8911	916
0	45	328
0	65	322
1	270	317
2	2103	317
0	8785	299
0	328	5344
1	1028	5066
2	3055	4528
0	8300	4145
0	441	5872
1	1414	5593
2	4622	5161
0	8144	4731
0	38	289
0	67	282
1	311	270
2	2735	270
0	8533	264
0	794	8898
1	2564	8466
0	8323	8040

Stop Event

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

Compiler

Compiled 814 to 402 computations (50.6% saved)

preprocess334.0ms (3.6%)

Memory: -20.8MiB live, 215.8MiB allocated
Compiler: Compiled 990 to 260 computations (73.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze97.0ms (1.1%)

sample2.4s (25.4%)

explain142.0ms (1.5%)

preprocess244.0ms (2.6%)

eval35.0ms (0.4%)

prune0.0ms (0%)

simplify143.0ms (1.5%)

localize32.0ms (0.3%)

series280.0ms (3%)

simplify186.0ms (2%)

rewrite197.0ms (2.1%)

eval126.0ms (1.4%)

prune17.0ms (0.2%)

simplify188.0ms (2%)

localize144.0ms (1.6%)

series50.0ms (0.5%)

simplify199.0ms (2.1%)

rewrite281.0ms (3%)

eval168.0ms (1.8%)

prune28.0ms (0.3%)

simplify122.0ms (1.3%)

localize114.0ms (1.2%)

series36.0ms (0.4%)

simplify216.0ms (2.3%)

rewrite193.0ms (2.1%)

eval80.0ms (0.9%)

prune27.0ms (0.3%)

simplify157.0ms (1.7%)

localize161.0ms (1.7%)

series63.0ms (0.7%)

simplify190.0ms (2.1%)

rewrite165.0ms (1.8%)

eval174.0ms (1.9%)

prune34.0ms (0.4%)

regimes27.0ms (0.3%)

regimes11.0ms (0.1%)

regimes21.0ms (0.2%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

regimes7.0ms (0.1%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

regimes15.0ms (0.2%)

regimes10.0ms (0.1%)

regimes17.0ms (0.2%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0%)

bsearch17.0ms (0.2%)

bsearch2.0ms (0%)

bsearch36.0ms (0.4%)

bsearch2.0ms (0%)

bsearch21.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify73.0ms (0.8%)

soundness2.0s (21.3%)

preprocess334.0ms (3.6%)

end0.0ms (0%)

Profiling