Metrics for Jmat.Real.lambertw, newton loop step

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze78.0ms (0.3%)

Memory

32.4MiB live, 150.0MiB 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)

sample1.9s (7.2%)

Memory

76.0MiB live, 3 471.6MiB allocated

Samples

492.0ms	7 807×	0	exit
421.0ms	6 499×	0	valid
280.0ms	1 757×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 766.0ms

ival-exp: 208.0ms (27.1% of total)

ival-sub: 174.0ms (22.7% of total)

ival-mult: 131.0ms (17.1% of total)

ival-div: 106.0ms (13.8% of total)

ival-add: 86.0ms (11.2% of total)

adjust: 42.0ms (5.5% of total)

ival-true: 13.0ms (1.7% of total)

ival-assert: 7.0ms (0.9% of total)

Bogosity

explain134.0ms (0.5%)

Memory

-25.8MiB live, 257.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
59	-	-	`(-.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	59	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 -
+	61	5
-	0	190

Precision

1.0

Recall

0.9242424242424242

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	61	0	5
-	0	0	190

Precision?

1.0

Recall?

0.9242424242424242

Freqs

test

number	freq
0	195
1	61

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

28.0ms	408×	0	valid
17.0ms	104×	1	valid

Compiler

Compiled 124 to 28 computations (77.4% saved)

Precisions

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

ival-exp: 8.0ms (29% of total)

ival-sub: 6.0ms (21.7% of total)

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

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

ival-add: 3.0ms (10.9% of total)

adjust: 2.0ms (7.2% of total)

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

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

preprocess243.0ms (0.9%)

Memory

46.0MiB live, 319.0MiB 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 wj (*.f64 x (exp.f64 (neg.f64 wj)))) (-.f64 #s(literal -1 binary64) wj)))

Samples

0.0ms	1×	2	valid
0.0ms	1×	0	valid

Compiler

Compiled 62 to 33 computations (46.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0% of total)

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

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

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

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

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

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

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

-37.7MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.8%	(-.f64 wj (/.f64 (-.f64 (.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (.f64 wj (exp.f64 wj)))))

Compiler

Compiled 18 to 8 computations (55.6% saved)

simplify450.0ms (1.7%)

Memory

9.3MiB live, 766.3MiB 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	6400	(+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj)))
cost-diff	6592	(/.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 wj (*.f64 x (exp.f64 (neg.f64 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 wj (*.f64 x (exp.f64 (neg.f64 wj)))) (+.f64 wj #s(literal 1 binary64)))
(-.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)))
(*.f64 (exp.f64 wj) (+.f64 wj #s(literal 1 binary64)))

Samples

92.0ms	2 052×	0	valid
7.0ms	52×	1	valid
2.0ms	8×	2	valid

Compiler

Compiled 18 432 to 15 584 computations (15.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-exp: 17.0ms (30.3% of total)

ival-add: 11.0ms (19.6% of total)

ival-mult: 10.0ms (17.8% of total)

ival-sub: 5.0ms (8.9% of total)

ival-div: 4.0ms (7.1% of total)

ival-neg: 4.0ms (7.1% of total)

adjust: 2.0ms (3.6% of total)

ival-true: 2.0ms (3.6% of total)

ival-assert: 1.0ms (1.8% of total)

exact: 1.0ms (1.8% of total)

localize32.0ms (0.1%)

Memory

22.4MiB live, 61.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.01953125	(*.f64 wj (exp.f64 wj))
accuracy	0.02734375	(+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj)))
accuracy	0.5039117521740242	(/.f64 (-.f64 (.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (.f64 wj (exp.f64 wj))))
accuracy	12.456485682603853	(-.f64 wj (/.f64 (-.f64 (.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (.f64 wj (exp.f64 wj)))))

Samples

15.0ms	204×	0	valid
8.0ms	52×	1	valid

Compiler

Compiled 53 to 10 computations (81.1% saved)

Precisions

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

ival-exp: 4.0ms (27% of total)

ival-mult: 3.0ms (20.2% of total)

ival-sub: 3.0ms (20.2% of total)

ival-div: 2.0ms (13.5% of total)

adjust: 1.0ms (6.7% of total)

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

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

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

series13.0ms (0%)

Memory

-17.8MiB live, 20.9MiB 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 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 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 (/ (+ 1 (/ x (exp wj))) 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 (/ (+ 1 (+ (* -1 (/ (+ 1 (/ x (exp wj))) wj)) (/ x (exp wj)))) 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 (/ (+ 1 (+ (* -1 (/ (- (* -1 (/ (+ 1 (/ x (exp wj))) wj)) (* -1 (+ 1 (/ x (exp wj))))) wj)) (/ x (exp wj)))) 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 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))) (taylor 0 x) (#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 (+ (exp wj) (* wj (exp wj))))) (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) (taylor 0 x) (#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 (+ (exp wj) (* wj (exp wj))))) (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) (taylor 0 x) (#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 (+ (exp wj) (* wj (exp wj))))) (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) (taylor 0 x) (#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 (+ (exp wj) (* wj (exp wj))))) (taylor inf x) (#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 (* x (- (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj))))) (/ 1 (+ (exp wj) (* wj (exp wj)))))) (taylor inf x) (#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 (* x (- (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj))))) (/ 1 (+ (exp wj) (* wj (exp wj)))))) (taylor inf x) (#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 (* x (- (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj))))) (/ 1 (+ (exp wj) (* wj (exp wj)))))) (taylor inf x) (#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>) () ())) ())
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#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>) () ())) ())
#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 (* wj (exp wj)) (taylor inf wj) (#s(alt (.f64 wj (exp.f64 wj)) (patch (.f64 wj (exp.f64 wj)) #<representation binary64>) () ())) ())
#s(alt (* wj (exp wj)) (taylor inf wj) (#s(alt (.f64 wj (exp.f64 wj)) (patch (.f64 wj (exp.f64 wj)) #<representation binary64>) () ())) ())
#s(alt (* wj (exp wj)) (taylor inf wj) (#s(alt (.f64 wj (exp.f64 wj)) (patch (.f64 wj (exp.f64 wj)) #<representation binary64>) () ())) ())
#s(alt (* wj (exp wj)) (taylor inf wj) (#s(alt (.f64 wj (exp.f64 wj)) (patch (.f64 wj (exp.f64 wj)) #<representation binary64>) () ())) ())
#s(alt (* wj (exp wj)) (taylor -inf wj) (#s(alt (.f64 wj (exp.f64 wj)) (patch (.f64 wj (exp.f64 wj)) #<representation binary64>) () ())) ())
#s(alt (* wj (exp wj)) (taylor -inf wj) (#s(alt (.f64 wj (exp.f64 wj)) (patch (.f64 wj (exp.f64 wj)) #<representation binary64>) () ())) ())
#s(alt (* wj (exp wj)) (taylor -inf wj) (#s(alt (.f64 wj (exp.f64 wj)) (patch (.f64 wj (exp.f64 wj)) #<representation binary64>) () ())) ())
#s(alt (* wj (exp wj)) (taylor -inf wj) (#s(alt (.f64 wj (exp.f64 wj)) (patch (.f64 wj (exp.f64 wj)) #<representation binary64>) () ())) ())

Calls

24 calls:

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

simplify4.8s (18%)

Memory

-213.3MiB live, 8 172.0MiB 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	2136	1025
3	7947	962
0	8898	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 (* -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 (/ (+ 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)) (+ (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)))))
(* -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) (* 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
(+ 1 (* 2 wj))
(+ 1 (* wj (+ 2 (* 3/2 wj))))
(+ 1 (* wj (+ 2 (* wj (+ 3/2 (* 2/3 wj))))))
(* wj (exp wj))
(* wj (+ (exp wj) (/ (exp wj) wj)))
(* wj (+ (exp wj) (/ (exp wj) wj)))
(* wj (+ (exp wj) (/ (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)))))
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))))
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
(* -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 (/ (* 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)))))
(/ 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)))))))
(/ 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 x)
(- (* wj (+ 1 wj)) x)
(- (* wj (+ 1 (* wj (+ 1 (* 1/2 wj))))) x)
(* wj (exp wj))
(* wj (+ (exp wj) (* -1 (/ x wj))))
(* wj (+ (exp wj) (* -1 (/ x wj))))
(* wj (+ (exp wj) (* -1 (/ x wj))))
(* 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))
(+ (* -1 x) (* wj (exp wj)))
(+ (* -1 x) (* wj (exp wj)))
(+ (* -1 x) (* 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)
(* -1 (* x (+ 1 (* -1 (/ (* wj (exp wj)) x)))))
(* -1 (* x (+ 1 (* -1 (/ (* wj (exp wj)) x)))))
(* -1 (* x (+ 1 (* -1 (/ (* wj (exp wj)) x)))))
wj
(* wj (+ 1 wj))
(* wj (+ 1 (* wj (+ 1 (* 1/2 wj)))))
(* wj (+ 1 (* wj (+ 1 (* wj (+ 1/2 (* 1/6 wj)))))))
(* wj (exp wj))
(* wj (exp wj))
(* wj (exp wj))
(* wj (exp wj))
(* wj (exp wj))
(* wj (exp wj))
(* wj (exp wj))
(* wj (exp wj))

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

Samples

1.8s	25 326×	0	valid
100.0ms	667×	1	valid
10.0ms	27×	2	valid

Compiler

Compiled 378 812 to 283 328 computations (25.2% saved)

Precisions

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

ival-mult: 340.0ms (27.9% of total)

ival-add: 237.0ms (19.5% of total)

ival-exp: 225.0ms (18.5% of total)

ival-div: 171.0ms (14% of total)

ival-neg: 114.0ms (9.4% of total)

ival-sub: 48.0ms (3.9% of total)

ival-true: 22.0ms (1.8% of total)

const: 18.0ms (1.5% of total)

exact: 16.0ms (1.3% of total)

adjust: 15.0ms (1.2% of total)

ival-assert: 11.0ms (0.9% of total)

rewrite272.0ms (1%)

Memory

0.3MiB live, 433.1MiB 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
(+.f64 (/.f64 wj (+.f64 wj #s(literal 1 binary64))) (/.f64 x (neg.f64 (*.f64 (exp.f64 wj) (+.f64 wj #s(literal 1 binary64))))))
(+.f64 (/.f64 wj (+.f64 wj #s(literal 1 binary64))) (.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (.f64 (exp.f64 wj) (+.f64 wj #s(literal 1 binary64)))))))
(+.f64 (/.f64 wj (+.f64 wj #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (exp.f64 wj) (+.f64 wj #s(literal 1 binary64)))) (neg.f64 x)))
(+.f64 (/.f64 wj (+.f64 wj #s(literal 1 binary64))) (.f64 (/.f64 x (neg.f64 (.f64 (exp.f64 wj) (+.f64 wj #s(literal 1 binary64))))) #s(literal 1 binary64)))
(+.f64 (/.f64 x (neg.f64 (*.f64 (exp.f64 wj) (+.f64 wj #s(literal 1 binary64))))) (/.f64 wj (+.f64 wj #s(literal 1 binary64))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (exp.f64 wj) (+.f64 wj #s(literal 1 binary64)))) (neg.f64 x)) (/.f64 wj (+.f64 wj #s(literal 1 binary64))))
(+.f64 (.f64 (/.f64 (fma.f64 wj (exp.f64 wj) (neg.f64 x)) (.f64 (fma.f64 wj (.f64 wj wj) #s(literal 1 binary64)) (exp.f64 (.f64 wj #s(literal 3 binary64))))) (exp.f64 (+.f64 wj wj))) (.f64 (/.f64 (fma.f64 wj (exp.f64 wj) (neg.f64 x)) (.f64 (fma.f64 wj (.f64 wj wj) #s(literal 1 binary64)) (exp.f64 (.f64 wj #s(literal 3 binary64))))) (.f64 (exp.f64 (+.f64 wj wj)) (-.f64 (.f64 wj wj) wj))))
(+.f64 (.f64 (/.f64 (fma.f64 wj (exp.f64 wj) (neg.f64 x)) (.f64 (fma.f64 wj (.f64 wj wj) #s(literal 1 binary64)) (exp.f64 (.f64 wj #s(literal 3 binary64))))) (.f64 (exp.f64 (+.f64 wj wj)) (-.f64 (.f64 wj wj) wj))) (.f64 (/.f64 (fma.f64 wj (exp.f64 wj) (neg.f64 x)) (.f64 (fma.f64 wj (.f64 wj wj) #s(literal 1 binary64)) (exp.f64 (.f64 wj #s(literal 3 binary64))))) (exp.f64 (+.f64 wj wj))))
(+.f64 (.f64 (/.f64 (-.f64 (/.f64 wj (+.f64 wj #s(literal 1 binary64))) (/.f64 x (.f64 (exp.f64 wj) (+.f64 wj #s(literal 1 binary64))))) (.f64 (+.f64 (neg.f64 wj) #s(literal 1 binary64)) (exp.f64 wj))) (exp.f64 wj)) (.f64 (/.f64 (-.f64 (/.f64 wj (+.f64 wj #s(literal 1 binary64))) (/.f64 x (.f64 (exp.f64 wj) (+.f64 wj #s(literal 1 binary64))))) (.f64 (+.f64 (neg.f64 wj) #s(literal 1 binary64)) (exp.f64 wj))) (neg.f64 (*.f64 wj (exp.f64 wj)))))
(+.f64 (.f64 (exp.f64 (+.f64 wj wj)) (/.f64 (fma.f64 wj (exp.f64 wj) (neg.f64 x)) (.f64 (fma.f64 wj (.f64 wj wj) #s(literal 1 binary64)) (exp.f64 (.f64 wj #s(literal 3 binary64)))))) (.f64 (.f64 (exp.f64 (+.f64 wj wj)) (-.f64 (.f64 wj wj) wj)) (/.f64 (fma.f64 wj (exp.f64 wj) (neg.f64 x)) (.f64 (fma.f64 wj (.f64 wj wj) #s(literal 1 binary64)) (exp.f64 (.f64 wj #s(literal 3 binary64)))))))
(+.f64 (.f64 (.f64 (exp.f64 (+.f64 wj wj)) (-.f64 (.f64 wj wj) wj)) (/.f64 (fma.f64 wj (exp.f64 wj) (neg.f64 x)) (.f64 (fma.f64 wj (.f64 wj wj) #s(literal 1 binary64)) (exp.f64 (.f64 wj #s(literal 3 binary64)))))) (.f64 (exp.f64 (+.f64 wj wj)) (/.f64 (fma.f64 wj (exp.f64 wj) (neg.f64 x)) (.f64 (fma.f64 wj (.f64 wj wj) #s(literal 1 binary64)) (exp.f64 (.f64 wj #s(literal 3 binary64)))))))
(+.f64 (.f64 (exp.f64 wj) (/.f64 (-.f64 (/.f64 wj (+.f64 wj #s(literal 1 binary64))) (/.f64 x (.f64 (exp.f64 wj) (+.f64 wj #s(literal 1 binary64))))) (.f64 (+.f64 (neg.f64 wj) #s(literal 1 binary64)) (exp.f64 wj)))) (.f64 (neg.f64 (.f64 wj (exp.f64 wj))) (/.f64 (-.f64 (/.f64 wj (+.f64 wj #s(literal 1 binary64))) (/.f64 x (.f64 (exp.f64 wj) (+.f64 wj #s(literal 1 binary64))))) (*.f64 (+.f64 (neg.f64 wj) #s(literal 1 binary64)) (exp.f64 wj)))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 wj (+.f64 wj #s(literal 1 binary64))) (/.f64 x (.f64 (exp.f64 wj) (+.f64 wj #s(literal 1 binary64))))))) #s(literal -1 binary64)))
(-.f64 (/.f64 wj (+.f64 wj #s(literal 1 binary64))) (/.f64 x (*.f64 (exp.f64 wj) (+.f64 wj #s(literal 1 binary64)))))
(-.f64 #s(literal 0 binary64) (+.f64 (neg.f64 (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) (/.f64 x (*.f64 (exp.f64 wj) (+.f64 wj #s(literal 1 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (.f64 (exp.f64 wj) (+.f64 wj #s(literal 1 binary64))))) (+.f64 (neg.f64 (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) (/.f64 x (.f64 (exp.f64 wj) (+.f64 wj #s(literal 1 binary64))))))
(-.f64 (/.f64 (/.f64 (.f64 (exp.f64 (.f64 wj #s(literal 3 binary64))) (.f64 wj (.f64 wj wj))) (fma.f64 wj (.f64 wj (exp.f64 (+.f64 wj wj))) (.f64 x (fma.f64 wj (exp.f64 wj) x)))) (.f64 (exp.f64 wj) (+.f64 wj #s(literal 1 binary64)))) (/.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 wj (.f64 wj (exp.f64 (+.f64 wj wj))) (.f64 x (fma.f64 wj (exp.f64 wj) x)))) (.f64 (exp.f64 wj) (+.f64 wj #s(literal 1 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 (exp.f64 (+.f64 wj wj)) (.f64 wj wj)) (fma.f64 wj (exp.f64 wj) x)) (.f64 (exp.f64 wj) (+.f64 wj #s(literal 1 binary64)))) (/.f64 (/.f64 (.f64 x x) (fma.f64 wj (exp.f64 wj) x)) (*.f64 (exp.f64 wj) (+.f64 wj #s(literal 1 binary64)))))
(-.f64 (/.f64 (.f64 (exp.f64 (.f64 wj #s(literal 3 binary64))) (.f64 wj (.f64 wj wj))) (.f64 (.f64 (exp.f64 wj) (+.f64 wj #s(literal 1 binary64))) (fma.f64 wj (.f64 wj (exp.f64 (+.f64 wj wj))) (.f64 x (fma.f64 wj (exp.f64 wj) x))))) (/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (exp.f64 wj) (+.f64 wj #s(literal 1 binary64))) (fma.f64 wj (.f64 wj (exp.f64 (+.f64 wj wj))) (.f64 x (fma.f64 wj (exp.f64 wj) x))))))
(-.f64 (/.f64 (.f64 (exp.f64 (+.f64 wj wj)) (.f64 wj wj)) (.f64 (.f64 (exp.f64 wj) (+.f64 wj #s(literal 1 binary64))) (fma.f64 wj (exp.f64 wj) x))) (/.f64 (.f64 x x) (.f64 (*.f64 (exp.f64 wj) (+.f64 wj #s(literal 1 binary64))) (fma.f64 wj (exp.f64 wj) x))))
(-.f64 (/.f64 (.f64 (exp.f64 (+.f64 wj wj)) (fma.f64 wj wj wj)) (.f64 (exp.f64 (+.f64 wj wj)) (.f64 (+.f64 wj #s(literal 1 binary64)) (+.f64 wj #s(literal 1 binary64))))) (/.f64 (.f64 (exp.f64 wj) (.f64 (+.f64 wj #s(literal 1 binary64)) x)) (.f64 (exp.f64 (+.f64 wj wj)) (*.f64 (+.f64 wj #s(literal 1 binary64)) (+.f64 wj #s(literal 1 binary64))))))
(-.f64 (/.f64 (.f64 (/.f64 wj (+.f64 wj #s(literal 1 binary64))) (.f64 (/.f64 wj (+.f64 wj #s(literal 1 binary64))) (/.f64 wj (+.f64 wj #s(literal 1 binary64))))) (fma.f64 (/.f64 wj (+.f64 wj #s(literal 1 binary64))) (/.f64 wj (+.f64 wj #s(literal 1 binary64))) (.f64 (/.f64 x (.f64 (exp.f64 wj) (+.f64 wj #s(literal 1 binary64)))) (+.f64 (/.f64 x (.f64 (exp.f64 wj) (+.f64 wj #s(literal 1 binary64)))) (/.f64 wj (+.f64 wj #s(literal 1 binary64))))))) (/.f64 (pow.f64 (/.f64 x (.f64 (exp.f64 wj) (+.f64 wj #s(literal 1 binary64)))) #s(literal 3 binary64)) (fma.f64 (/.f64 wj (+.f64 wj #s(literal 1 binary64))) (/.f64 wj (+.f64 wj #s(literal 1 binary64))) (.f64 (/.f64 x (.f64 (exp.f64 wj) (+.f64 wj #s(literal 1 binary64)))) (+.f64 (/.f64 x (*.f64 (exp.f64 wj) (+.f64 wj #s(literal 1 binary64)))) (/.f64 wj (+.f64 wj #s(literal 1 binary64))))))))
(-.f64 (/.f64 (.f64 (/.f64 wj (+.f64 wj #s(literal 1 binary64))) (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) (+.f64 (/.f64 wj (+.f64 wj #s(literal 1 binary64))) (/.f64 x (.f64 (exp.f64 wj) (+.f64 wj #s(literal 1 binary64)))))) (/.f64 (.f64 (.f64 x x) (pow.f64 (.f64 (exp.f64 wj) (+.f64 wj #s(literal 1 binary64))) #s(literal -2 binary64))) (+.f64 (/.f64 wj (+.f64 wj #s(literal 1 binary64))) (/.f64 x (.f64 (exp.f64 wj) (+.f64 wj #s(literal 1 binary64)))))))
(fma.f64 wj (/.f64 #s(literal 1 binary64) (+.f64 wj #s(literal 1 binary64))) (/.f64 x (neg.f64 (*.f64 (exp.f64 wj) (+.f64 wj #s(literal 1 binary64))))))
(fma.f64 wj (/.f64 #s(literal 1 binary64) (+.f64 wj #s(literal 1 binary64))) (.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (.f64 (exp.f64 wj) (+.f64 wj #s(literal 1 binary64)))))))
(fma.f64 wj (/.f64 #s(literal 1 binary64) (+.f64 wj #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (exp.f64 wj) (+.f64 wj #s(literal 1 binary64)))) (neg.f64 x)))
(fma.f64 wj (/.f64 #s(literal 1 binary64) (+.f64 wj #s(literal 1 binary64))) (.f64 (/.f64 x (neg.f64 (.f64 (exp.f64 wj) (+.f64 wj #s(literal 1 binary64))))) #s(literal 1 binary64)))
(fma.f64 (exp.f64 wj) (/.f64 (-.f64 (/.f64 wj (+.f64 wj #s(literal 1 binary64))) (/.f64 x (.f64 (exp.f64 wj) (+.f64 wj #s(literal 1 binary64))))) (.f64 (+.f64 (neg.f64 wj) #s(literal 1 binary64)) (exp.f64 wj))) (.f64 (neg.f64 (.f64 wj (exp.f64 wj))) (/.f64 (-.f64 (/.f64 wj (+.f64 wj #s(literal 1 binary64))) (/.f64 x (.f64 (exp.f64 wj) (+.f64 wj #s(literal 1 binary64))))) (.f64 (+.f64 (neg.f64 wj) #s(literal 1 binary64)) (exp.f64 wj)))))
(fma.f64 (exp.f64 wj) (/.f64 wj (.f64 (exp.f64 wj) (+.f64 wj #s(literal 1 binary64)))) (/.f64 x (neg.f64 (.f64 (exp.f64 wj) (+.f64 wj #s(literal 1 binary64))))))
(fma.f64 (exp.f64 wj) (/.f64 wj (.f64 (exp.f64 wj) (+.f64 wj #s(literal 1 binary64)))) (.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (*.f64 (exp.f64 wj) (+.f64 wj #s(literal 1 binary64)))))))
(fma.f64 (exp.f64 wj) (/.f64 wj (.f64 (exp.f64 wj) (+.f64 wj #s(literal 1 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 wj) (+.f64 wj #s(literal 1 binary64)))) (neg.f64 x)))
(fma.f64 (exp.f64 wj) (/.f64 wj (.f64 (exp.f64 wj) (+.f64 wj #s(literal 1 binary64)))) (.f64 (/.f64 x (neg.f64 (*.f64 (exp.f64 wj) (+.f64 wj #s(literal 1 binary64))))) #s(literal 1 binary64)))
(fma.f64 (.f64 wj (exp.f64 wj)) (/.f64 #s(literal 1 binary64) (.f64 (exp.f64 wj) (+.f64 wj #s(literal 1 binary64)))) (/.f64 x (neg.f64 (*.f64 (exp.f64 wj) (+.f64 wj #s(literal 1 binary64))))))
(fma.f64 (.f64 wj (exp.f64 wj)) (/.f64 #s(literal 1 binary64) (.f64 (exp.f64 wj) (+.f64 wj #s(literal 1 binary64)))) (.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (.f64 (exp.f64 wj) (+.f64 wj #s(literal 1 binary64)))))))
(fma.f64 (.f64 wj (exp.f64 wj)) (/.f64 #s(literal 1 binary64) (.f64 (exp.f64 wj) (+.f64 wj #s(literal 1 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (exp.f64 wj) (+.f64 wj #s(literal 1 binary64)))) (neg.f64 x)))
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(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (exp.f64 (+.f64 wj wj)) (.f64 wj wj)) (fma.f64 wj (exp.f64 wj) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (fma.f64 wj (exp.f64 wj) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (exp.f64 (+.f64 wj wj)) (.f64 wj wj)) (fma.f64 wj (exp.f64 wj) x)) (/.f64 (.f64 (exp.f64 (+.f64 wj wj)) (.f64 wj wj)) (fma.f64 wj (exp.f64 wj) x)) (fma.f64 (/.f64 (.f64 x x) (fma.f64 wj (exp.f64 wj) x)) (/.f64 (.f64 x x) (fma.f64 wj (exp.f64 wj) x)) (.f64 (/.f64 (.f64 (exp.f64 (+.f64 wj wj)) (.f64 wj wj)) (fma.f64 wj (exp.f64 wj) x)) (/.f64 (*.f64 x x) (fma.f64 wj (exp.f64 wj) x))))))
(/.f64 (-.f64 (.f64 x x) (.f64 (exp.f64 (+.f64 wj wj)) (.f64 wj wj))) (-.f64 (neg.f64 x) (.f64 wj (exp.f64 wj))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (exp.f64 (.f64 wj #s(literal 3 binary64))) (.f64 wj (.f64 wj wj))) (fma.f64 wj (.f64 wj (exp.f64 (+.f64 wj wj))) (.f64 x (fma.f64 wj (exp.f64 wj) x)))) (/.f64 (.f64 (exp.f64 (.f64 wj #s(literal 3 binary64))) (.f64 wj (.f64 wj wj))) (fma.f64 wj (.f64 wj (exp.f64 (+.f64 wj wj))) (.f64 x (fma.f64 wj (exp.f64 wj) x))))) (.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 wj (.f64 wj (exp.f64 (+.f64 wj wj))) (.f64 x (fma.f64 wj (exp.f64 wj) x)))) (/.f64 (.f64 x (.f64 x x)) (fma.f64 wj (.f64 wj (exp.f64 (+.f64 wj wj))) (.f64 x (fma.f64 wj (exp.f64 wj) x)))))) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 wj #s(literal 3 binary64))) (.f64 wj (.f64 wj wj))) (fma.f64 wj (.f64 wj (exp.f64 (+.f64 wj wj))) (.f64 x (fma.f64 wj (exp.f64 wj) x)))) (/.f64 (.f64 x (.f64 x x)) (fma.f64 wj (.f64 wj (exp.f64 (+.f64 wj wj))) (.f64 x (fma.f64 wj (exp.f64 wj) x))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (exp.f64 (+.f64 wj wj)) (.f64 wj wj)) (fma.f64 wj (exp.f64 wj) x)) (/.f64 (.f64 (exp.f64 (+.f64 wj wj)) (.f64 wj wj)) (fma.f64 wj (exp.f64 wj) x))) (.f64 (/.f64 (.f64 x x) (fma.f64 wj (exp.f64 wj) x)) (/.f64 (.f64 x x) (fma.f64 wj (exp.f64 wj) x)))) (+.f64 (/.f64 (.f64 (exp.f64 (+.f64 wj wj)) (.f64 wj wj)) (fma.f64 wj (exp.f64 wj) x)) (/.f64 (*.f64 x x) (fma.f64 wj (exp.f64 wj) x))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 (.f64 (exp.f64 (.f64 wj #s(literal 3 binary64))) (.f64 wj (.f64 wj wj))) (.f64 x (.f64 x x)))) (fma.f64 wj (.f64 wj (exp.f64 (+.f64 wj wj))) (*.f64 x (fma.f64 wj (exp.f64 wj) x))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 (.f64 (exp.f64 (.f64 wj #s(literal 3 binary64))) (.f64 wj (.f64 wj wj))) (.f64 x (.f64 x x)))) (fma.f64 wj (.f64 wj (exp.f64 (+.f64 wj wj))) (.f64 (neg.f64 x) (-.f64 (neg.f64 x) (.f64 wj (exp.f64 wj))))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 (.f64 (exp.f64 (+.f64 wj wj)) (.f64 wj wj)) (.f64 x x))) (fma.f64 wj (exp.f64 wj) x))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 (exp.f64 (.f64 wj #s(literal 3 binary64))) (.f64 wj (.f64 wj wj))) (.f64 x (.f64 x x))))) (neg.f64 (fma.f64 wj (.f64 wj (exp.f64 (+.f64 wj wj))) (*.f64 x (fma.f64 wj (exp.f64 wj) x)))))
(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 wj (neg.f64 (.f64 wj (exp.f64 (+.f64 wj wj)))) (*.f64 x x))) (neg.f64 (fma.f64 wj (exp.f64 wj) x)))
(/.f64 (.f64 (-.f64 (.f64 (exp.f64 (.f64 (.f64 wj #s(literal 3 binary64)) #s(literal 3 binary64))) (.f64 (.f64 wj (.f64 wj wj)) (.f64 (.f64 wj (.f64 wj wj)) (.f64 wj (.f64 wj wj))))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 wj (.f64 wj (exp.f64 (+.f64 wj wj))) (.f64 x (fma.f64 wj (exp.f64 wj) x))))) (fma.f64 (.f64 wj (.f64 wj wj)) (.f64 (exp.f64 (.f64 (+.f64 wj wj) #s(literal 3 binary64))) (.f64 wj (.f64 wj wj))) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) (.f64 (exp.f64 (.f64 wj #s(literal 3 binary64))) (.f64 wj (.f64 wj wj)))))))
(/.f64 (.f64 (-.f64 (.f64 (exp.f64 (.f64 (+.f64 wj wj) #s(literal 3 binary64))) (.f64 (.f64 wj (.f64 wj wj)) (.f64 wj (.f64 wj wj)))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 wj (.f64 wj (exp.f64 (+.f64 wj wj))) (.f64 x (fma.f64 wj (exp.f64 wj) x))))) (fma.f64 (exp.f64 (.f64 wj #s(literal 3 binary64))) (.f64 wj (.f64 wj wj)) (.f64 x (.f64 x x))))
(/.f64 (.f64 (-.f64 (.f64 (exp.f64 (.f64 (+.f64 wj wj) #s(literal 3 binary64))) (.f64 (.f64 wj (.f64 wj wj)) (.f64 wj (.f64 wj wj)))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 wj (exp.f64 wj) x))) (fma.f64 (exp.f64 (+.f64 (+.f64 wj wj) (+.f64 wj wj))) (.f64 wj (.f64 wj (.f64 wj wj))) (.f64 (.f64 x x) (fma.f64 x x (.f64 (exp.f64 (+.f64 wj wj)) (.f64 wj wj))))))
(/.f64 (.f64 (fma.f64 (exp.f64 (+.f64 (+.f64 wj wj) (+.f64 wj wj))) (.f64 wj (.f64 wj (.f64 wj wj))) (neg.f64 (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 wj (exp.f64 wj) x))) (fma.f64 wj (.f64 wj (exp.f64 (+.f64 wj wj))) (*.f64 x x)))
(/.f64 (.f64 (neg.f64 (-.f64 (.f64 (exp.f64 (.f64 wj #s(literal 3 binary64))) (.f64 wj (.f64 wj wj))) (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (neg.f64 (fma.f64 wj (.f64 wj (exp.f64 (+.f64 wj wj))) (*.f64 x (fma.f64 wj (exp.f64 wj) x)))))
(/.f64 (.f64 (fma.f64 wj (neg.f64 (.f64 wj (exp.f64 (+.f64 wj wj)))) (*.f64 x x)) #s(literal 1 binary64)) (neg.f64 (fma.f64 wj (exp.f64 wj) x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 wj (exp.f64 wj) (neg.f64 x))) #s(literal -1 binary64))
(*.f64 (fma.f64 wj (exp.f64 wj) (neg.f64 x)) #s(literal 1 binary64))
(.f64 (-.f64 (.f64 (exp.f64 (.f64 wj #s(literal 3 binary64))) (.f64 wj (.f64 wj wj))) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 wj (.f64 wj (exp.f64 (+.f64 wj wj))) (*.f64 x (fma.f64 wj (exp.f64 wj) x)))))
(.f64 (-.f64 (.f64 (exp.f64 (.f64 wj #s(literal 3 binary64))) (.f64 wj (.f64 wj wj))) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 wj (.f64 wj (exp.f64 (+.f64 wj wj))) (.f64 (neg.f64 x) (-.f64 (neg.f64 x) (.f64 wj (exp.f64 wj)))))))
(.f64 (-.f64 (.f64 (exp.f64 (.f64 wj #s(literal 3 binary64))) (.f64 wj (.f64 wj wj))) (.f64 x (.f64 x x))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 wj (.f64 wj (exp.f64 (+.f64 wj wj))) (.f64 x (fma.f64 wj (exp.f64 wj) x)))) #s(literal 1 binary64)))
(.f64 (fma.f64 wj (.f64 wj (exp.f64 (+.f64 wj wj))) (.f64 x (fma.f64 wj (exp.f64 wj) x))) (.f64 (fma.f64 wj (exp.f64 wj) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 wj (.f64 wj (exp.f64 (+.f64 wj wj))) (.f64 x (fma.f64 wj (exp.f64 wj) x))))))
(*.f64 #s(literal 1 binary64) (fma.f64 wj (exp.f64 wj) (neg.f64 x)))
(.f64 (-.f64 (.f64 (exp.f64 (+.f64 wj wj)) (.f64 wj wj)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 wj (exp.f64 wj) x)))
(.f64 (-.f64 (.f64 (exp.f64 (+.f64 wj wj)) (.f64 wj wj)) (.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 wj (exp.f64 wj) x)) #s(literal 1 binary64)))
(.f64 (fma.f64 wj (exp.f64 wj) x) (.f64 (fma.f64 wj (exp.f64 wj) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 wj (exp.f64 wj) x))))
(.f64 #s(literal -1 binary64) (-.f64 x (.f64 wj (exp.f64 wj))))
(.f64 (neg.f64 (-.f64 (.f64 (exp.f64 (.f64 wj #s(literal 3 binary64))) (.f64 wj (.f64 wj wj))) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 wj (.f64 wj (exp.f64 (+.f64 wj wj))) (*.f64 x (fma.f64 wj (exp.f64 wj) x))))))
(.f64 (fma.f64 wj (neg.f64 (.f64 wj (exp.f64 (+.f64 wj wj)))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 wj (exp.f64 wj) x))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 wj (.f64 wj (exp.f64 (+.f64 wj wj))) (.f64 x (fma.f64 wj (exp.f64 wj) x)))) (-.f64 (.f64 (exp.f64 (.f64 wj #s(literal 3 binary64))) (.f64 wj (.f64 wj wj))) (.f64 x (*.f64 x x))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 wj (exp.f64 wj) x)) (-.f64 (.f64 (exp.f64 (+.f64 wj wj)) (.f64 wj wj)) (.f64 x x)))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 (.f64 (exp.f64 (.f64 wj #s(literal 3 binary64))) (.f64 wj (.f64 wj wj))) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 wj (.f64 wj (exp.f64 (+.f64 wj wj))) (.f64 x (fma.f64 wj (exp.f64 wj) x)))))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 (.f64 (exp.f64 (+.f64 wj wj)) (.f64 wj wj)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 wj (exp.f64 wj) x)))
(.f64 (/.f64 (-.f64 (.f64 (exp.f64 (+.f64 wj wj)) (.f64 wj wj)) (.f64 x x)) (-.f64 (.f64 (exp.f64 (+.f64 wj wj)) (.f64 wj wj)) (*.f64 x x))) (fma.f64 wj (exp.f64 wj) (neg.f64 x)))
(.f64 (/.f64 (-.f64 (.f64 (exp.f64 (.f64 wj #s(literal 3 binary64))) (.f64 wj (.f64 wj wj))) (.f64 x (.f64 x x))) (fma.f64 (.f64 wj (.f64 wj wj)) (.f64 (exp.f64 (.f64 (+.f64 wj wj) #s(literal 3 binary64))) (.f64 wj (.f64 wj wj))) (pow.f64 (.f64 x (fma.f64 wj (exp.f64 wj) x)) #s(literal 3 binary64)))) (fma.f64 (.f64 wj wj) (.f64 (exp.f64 (+.f64 (+.f64 wj wj) (+.f64 wj wj))) (.f64 wj wj)) (.f64 (.f64 x (fma.f64 wj (exp.f64 wj) x)) (-.f64 (.f64 x (fma.f64 wj (exp.f64 wj) x)) (.f64 (exp.f64 (+.f64 wj wj)) (.f64 wj wj))))))
(.f64 (/.f64 (-.f64 (.f64 (exp.f64 (.f64 wj #s(literal 3 binary64))) (.f64 wj (.f64 wj wj))) (.f64 x (.f64 x x))) (-.f64 (.f64 (exp.f64 (+.f64 (+.f64 wj wj) (+.f64 wj wj))) (.f64 wj (.f64 wj (.f64 wj wj)))) (pow.f64 (.f64 x (fma.f64 wj (exp.f64 wj) x)) #s(literal 2 binary64)))) (-.f64 (.f64 (exp.f64 (+.f64 wj wj)) (.f64 wj wj)) (*.f64 x (fma.f64 wj (exp.f64 wj) x))))
(.f64 (/.f64 (-.f64 (.f64 (exp.f64 (+.f64 wj wj)) (.f64 wj wj)) (.f64 x x)) (fma.f64 (exp.f64 (.f64 wj #s(literal 3 binary64))) (.f64 wj (.f64 wj wj)) (.f64 x (.f64 x x)))) (fma.f64 wj (.f64 wj (exp.f64 (+.f64 wj wj))) (.f64 x (-.f64 x (.f64 wj (exp.f64 wj))))))
(*.f64 wj (exp.f64 wj))
(*.f64 (exp.f64 wj) wj)

eval91.0ms (0.3%)

Memory: -2.6MiB live, 188.1MiB allocated
Compiler: Compiled 24 347 to 2 027 computations (91.7% saved)

prune116.0ms (0.4%)

Memory

1.7MiB live, 247.0MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	661	11	672
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	662	11	673

Accuracy

99.9%

Counts

673 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	75.8%	(-.f64 wj (/.f64 (-.f64 (.f64 wj (exp.f64 wj)) x) #s(approx (+ (exp wj) ( wj (exp wj))) (fma.f64 wj (fma.f64 wj (fma.f64 wj #s(literal 2/3 binary64) #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)))))
▶	5.7%	(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 wj #s(literal 1 binary64)))))
	74.2%	(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (-.f64 (fma.f64 x (*.f64 wj #s(literal 2 binary64)) wj) x)))
	75.9%	(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 (/.f64 x (*.f64 (exp.f64 wj) (+.f64 wj #s(literal 1 binary64)))))))
	70.8%	(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x)))
▶	3.8%	(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64)))
	91.3%	(+.f64 (-.f64 wj (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) (/.f64 x (*.f64 (exp.f64 wj) (+.f64 wj #s(literal 1 binary64)))))
▶	85.0%	#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 x (*.f64 wj #s(literal -2 binary64)) x))
	94.0%	#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 wj (fma.f64 x #s(literal -2 binary64) (fma.f64 (*.f64 x wj) #s(literal 5/2 binary64) wj)) x))
▶	94.5%	#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 wj (fma.f64 wj (-.f64 (fma.f64 x #s(literal 5/2 binary64) #s(literal 1 binary64)) (fma.f64 wj (fma.f64 x #s(literal 2/3 binary64) (.f64 x #s(literal 2 binary64))) wj)) (.f64 x #s(literal -2 binary64))) x))
▶	89.3%	#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x (*.f64 (exp.f64 wj) (+.f64 wj #s(literal 1 binary64)))))

Compiler

Compiled 300 to 178 computations (40.7% saved)

simplify1.6s (6.1%)

Memory

27.6MiB live, 2 921.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

14 018×	`lower-fma.f32`
14 006×	`lower-fma.f64`
3 218×	`lower-+.f32`
3 216×	`lower-+.f64`
2 940×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	296
0	59	271
1	123	271
2	268	264
3	815	250
4	2851	250
5	7692	250
0	8069	242

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

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

Samples

482.0ms	10 760×	0	valid
34.0ms	242×	1	valid
5.0ms	22×	2	valid

Compiler

Compiled 82 264 to 72 548 computations (11.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 236.0ms

ival-mult: 67.0ms (28.4% of total)

ival-add: 60.0ms (25.4% of total)

const: 30.0ms (12.7% of total)

adjust: 17.0ms (7.2% of total)

ival-exp: 14.0ms (5.9% of total)

ival-div: 13.0ms (5.5% of total)

ival-sub: 10.0ms (4.2% of total)

ival-true: 9.0ms (3.8% of total)

exact: 6.0ms (2.5% of total)

ival-assert: 5.0ms (2.1% of total)

ival-neg: 4.0ms (1.7% of total)

ival-expm1: 0.0ms (0% of total)

localize117.0ms (0.4%)

Memory

15.6MiB live, 254.1MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 wj)
accuracy	0.02734375	(/.f64 x (*.f64 (exp.f64 wj) (+.f64 wj #s(literal 1 binary64))))
accuracy	0.02734375	(*.f64 (exp.f64 wj) (+.f64 wj #s(literal 1 binary64)))
accuracy	6.858703655032782	#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x (*.f64 (exp.f64 wj) (+.f64 wj #s(literal 1 binary64)))))
accuracy	0	(+.f64 wj #s(literal 1 binary64))
accuracy	0.015625	(/.f64 wj (+.f64 wj #s(literal 1 binary64)))
accuracy	12.456485682603853	(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 wj #s(literal 1 binary64)))))
accuracy	47.35295157443916	#s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 wj #s(literal 1 binary64))))
accuracy	0	(fma.f64 x (*.f64 wj #s(literal -2 binary64)) x)
accuracy	0	(*.f64 wj #s(literal -2 binary64))
accuracy	9.603647690919795	#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 x (*.f64 wj #s(literal -2 binary64)) x))
accuracy	12.456485682603853	(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64)))
accuracy	61.505653610175074	#s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64))
accuracy	0.03125	(-.f64 (fma.f64 x #s(literal 5/2 binary64) #s(literal 1 binary64)) (fma.f64 wj (fma.f64 x #s(literal 2/3 binary64) (*.f64 x #s(literal 2 binary64))) wj))
accuracy	0.21689140143722901	(fma.f64 wj (fma.f64 wj (-.f64 (fma.f64 x #s(literal 5/2 binary64) #s(literal 1 binary64)) (fma.f64 wj (fma.f64 x #s(literal 2/3 binary64) (.f64 x #s(literal 2 binary64))) wj)) (.f64 x #s(literal -2 binary64))) x)
accuracy	0.3384769374701778	(fma.f64 wj (fma.f64 x #s(literal 2/3 binary64) (*.f64 x #s(literal 2 binary64))) wj)
accuracy	3.3104197545107663	#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 wj (fma.f64 wj (-.f64 (fma.f64 x #s(literal 5/2 binary64) #s(literal 1 binary64)) (fma.f64 wj (fma.f64 x #s(literal 2/3 binary64) (.f64 x #s(literal 2 binary64))) wj)) (.f64 x #s(literal -2 binary64))) x))

Samples

43.0ms	188×	0	valid
29.0ms	63×	1	valid
4.0ms	1×	3	valid
3.0ms	4×	2	valid

Compiler

Compiled 260 to 35 computations (86.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-mult: 18.0ms (30.9% of total)

ival-add: 10.0ms (17.1% of total)

const: 7.0ms (12% of total)

ival-div: 6.0ms (10.3% of total)

adjust: 6.0ms (10.3% of total)

ival-exp: 6.0ms (10.3% of total)

ival-sub: 4.0ms (6.9% of total)

exact: 1.0ms (1.7% of total)

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

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

series38.0ms (0.1%)

Memory

2.1MiB live, 81.8MiB allocated

Counts

18 → 360

Calls

Call 1

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

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

Calls

90 calls:

Time	Variable		Point	Expression
3.0ms	wj	@	-inf	(+ (* wj (+ (* wj (- (+ (* x 5/2) 1) (+ (* wj (+ (* x 2/3) (* x 2))) wj))) (* x -2))) x)
2.0ms	wj	@	0	(+ wj 1)
2.0ms	x	@	0	(- (+ (* x 5/2) 1) (+ (* wj (+ (* x 2/3) (* x 2))) wj))
1.0ms	x	@	inf	(/ x (* (exp wj) (+ wj 1)))
1.0ms	x	@	0	(/ x (* (exp wj) (+ wj 1)))

simplify16.6s (62.7%)

Memory

-255.1MiB live, 28 815.7MiB allocated

Algorithm

1×	egg-herbie

Rules

10 854×	`lower-fma.f64`
10 854×	`lower-fma.f32`
4 394×	`lower-*.f64`
4 394×	`lower-*.f32`
3 484×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	404	4956
1	1280	4761
2	4052	4179
0	8552	3906

Stop Event

1×	iter limit
1×	node limit

Samples

6.0s	83 523×	0	valid
640.0ms	7 196×	0	exit
522.0ms	2 951×	1	valid
14.0ms	49×	2	valid
3.0ms	11×	1	exit

Compiler

Compiled 1 414 280 to 1 074 710 computations (24% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.6s

ival-mult: 1.4s (30.8% of total)

ival-add: 1.0s (22.5% of total)

ival-div: 822.0ms (18.1% of total)

ival-exp: 416.0ms (9.1% of total)

const: 353.0ms (7.8% of total)

ival-neg: 135.0ms (3% of total)

ival-sub: 126.0ms (2.8% of total)

ival-true: 80.0ms (1.8% of total)

exact: 80.0ms (1.8% of total)

adjust: 73.0ms (1.6% of total)

ival-assert: 42.0ms (0.9% of total)

ival-expm1: 0.0ms (0% of total)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze78.0ms (0.3%)

sample1.9s (7.2%)

explain134.0ms (0.5%)

preprocess243.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify450.0ms (1.7%)

localize32.0ms (0.1%)

series13.0ms (0%)

simplify4.8s (18%)

rewrite272.0ms (1%)

eval91.0ms (0.3%)

prune116.0ms (0.4%)

simplify1.6s (6.1%)

localize117.0ms (0.4%)

series38.0ms (0.1%)

simplify16.6s (62.7%)

end0.0ms (0%)

Profiling