Metrics for Hyperbolic tangent

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
100%	100%	0%	0%	0%	0%	0%	2

Compiler

Compiled 15 to 9 computations (40% saved)

sample4.3s (47.4%)

Memory

43.4MiB live, 4 975.5MiB allocated

Samples

1.6s	2 913×	2	valid
1.1s	4 808×	1	valid
774.0ms	7 921×	0	exit
66.0ms	535×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.0s

ival-exp: 1.9s (65.2% of total)

ival-sub: 321.0ms (10.8% of total)

adjust: 238.0ms (8% of total)

ival-div: 194.0ms (6.5% of total)

ival-add: 146.0ms (4.9% of total)

ival-neg: 114.0ms (3.8% of total)

ival-true: 14.0ms (0.5% of total)

ival-assert: 7.0ms (0.2% of total)

Bogosity

explain209.0ms (2.3%)

Memory

-5.4MiB live, 276.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
245	0	-	-	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
4	0	-	-	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
0	0	-	-	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
0	0	-	-	`(exp.f64 x)`
0	1	(247.80601256109438)	-	`(exp.f64 (neg.f64 x))`
0	0	-	-	`(neg.f64 x)`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`	cancellation	245	0
`/.f64`	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`	o/o	4	0
↳	`(exp.f64 x)`	overflow	2
↳	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`	overflow	4
↳	`(exp.f64 (neg.f64 x))`	overflow	2
↳	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`	overflow	4
↳	`(exp.f64 x)`	overflow	2
↳	`(exp.f64 (neg.f64 x))`	overflow	2
`exp.f64`	`(exp.f64 (neg.f64 x))`	sensitivity	1	2

Confusion

	Predicted +	Predicted -
+	249	0
-	1	6

Precision

0.996

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	249	0	0
-	1	2	4

Precision?

0.9880952380952381

Recall?

1.0

Freqs

test

number	freq
0	6
1	250

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

76.0ms	180×	2	valid
57.0ms	304×	1	valid
2.0ms	28×	0	valid

Compiler

Compiled 116 to 32 computations (72.4% saved)

Precisions

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

ival-exp: 77.0ms (69.1% of total)

adjust: 12.0ms (10.8% of total)

ival-div: 7.0ms (6.3% of total)

ival-add: 6.0ms (5.4% of total)

ival-sub: 6.0ms (5.4% of total)

ival-neg: 2.0ms (1.8% of total)

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

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

preprocess88.0ms (1%)

Memory

5.6MiB live, 91.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	27
1	32	27
2	80	26
3	199	26
4	468	26
5	1130	26
6	1547	26
7	1585	26
8	1604	26
9	1623	26
10	1657	26
11	1669	26
0	7	13
0	13	13
1	25	13
2	42	13
3	67	13
4	122	13
5	276	13
6	462	13
7	682	13
8	905	13
9	1058	13
10	1186	13
11	1233	13
0	1233	13

Stop Event

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

Calls

Call 1

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

Outputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))

Symmetry

(negabs x)

Compiler

Compiled 13 to 7 computations (46.2% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	9.6%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Compiler

Compiled 13 to 7 computations (46.2% saved)

simplify34.0ms (0.4%)

Memory

-5.8MiB live, 33.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(exp.f64 (neg.f64 x))
cost-diff	0	(exp.f64 x)
cost-diff	0	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
cost-diff	0	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	33
0	13	33
1	25	33
2	42	33
3	67	33
4	122	33
5	276	33
6	462	33
7	682	33
8	905	33
9	1058	33
10	1186	33
11	1233	33
0	1233	33

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

Outputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
x
(exp.f64 (neg.f64 x))
(neg.f64 x)
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))

localize76.0ms (0.8%)

Memory

19.8MiB live, 97.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 x)
accuracy	0.0078125	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
accuracy	0.9843860042033008	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
accuracy	56.87406214873638	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Samples

37.0ms	90×	2	valid
28.0ms	152×	1	valid
2.0ms	14×	0	valid

Compiler

Compiled 68 to 16 computations (76.5% saved)

Precisions

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

ival-exp: 39.0ms (70.1% of total)

adjust: 6.0ms (10.8% of total)

ival-div: 4.0ms (7.2% of total)

ival-add: 3.0ms (5.4% of total)

ival-sub: 3.0ms (5.4% of total)

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

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

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

series4.0ms (0%)

Memory

6.0MiB live, 6.0MiB allocated

Counts

5 → 60

Calls

Call 1

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

Outputs
#s(alt x (taylor 0 x) (#s(alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (patch (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/3 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (patch (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) (taylor 0 x) (#s(alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (patch (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) (taylor 0 x) (#s(alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (patch (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))) (taylor 0 x) (#s(alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))) (taylor 0 x) (#s(alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1 (* 1/2 x)))) (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (- (* 1/2 x) 1))) (taylor 0 x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) (taylor 0 x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt 2 (taylor 0 x) (#s(alt (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (pow x 2)) (taylor 0 x) (#s(alt (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))) (taylor 0 x) (#s(alt (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))) (taylor 0 x) (#s(alt (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (taylor inf x) (#s(alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (patch (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (taylor inf x) (#s(alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (patch (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (taylor inf x) (#s(alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (patch (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (taylor inf x) (#s(alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (patch (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (- (exp x) (exp (neg x))) (taylor inf x) (#s(alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (exp x) (exp (neg x))) (taylor inf x) (#s(alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (exp x) (exp (neg x))) (taylor inf x) (#s(alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (exp x) (exp (neg x))) (taylor inf x) (#s(alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp (neg x)) (taylor inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (exp (neg x)) (taylor inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (exp (neg x)) (taylor inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (exp (neg x)) (taylor inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ (exp x) (exp (neg x))) (taylor inf x) (#s(alt (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (exp x) (exp (neg x))) (taylor inf x) (#s(alt (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (exp x) (exp (neg x))) (taylor inf x) (#s(alt (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (exp x) (exp (neg x))) (taylor inf x) (#s(alt (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (patch (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (patch (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (patch (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (patch (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (- (exp x) (exp (* -1 x))) (taylor -inf x) (#s(alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (exp x) (exp (* -1 x))) (taylor -inf x) (#s(alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (exp x) (exp (* -1 x))) (taylor -inf x) (#s(alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (exp x) (exp (* -1 x))) (taylor -inf x) (#s(alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 x)) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 x)) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 x)) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 x)) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ (exp x) (exp (* -1 x))) (taylor -inf x) (#s(alt (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (exp x) (exp (* -1 x))) (taylor -inf x) (#s(alt (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (exp x) (exp (* -1 x))) (taylor -inf x) (#s(alt (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (exp x) (exp (* -1 x))) (taylor -inf x) (#s(alt (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

((/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (- (exp x) (exp (neg x))) (exp x) (exp (neg x)) (+ (exp x) (exp (neg x))))

1.0ms

inf

((/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (- (exp x) (exp (neg x))) (exp x) (exp (neg x)) (+ (exp x) (exp (neg x))))

1.0ms

-inf

((/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (- (exp x) (exp (neg x))) (exp x) (exp (neg x)) (+ (exp x) (exp (neg x))))

simplify146.0ms (1.6%)

Memory

-20.2MiB live, 133.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	425
1	259	424
2	604	414
3	1672	414
4	2645	414
5	4176	414
6	4889	414
7	6516	414
0	8145	386

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 59

Calls

Call 1

Inputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(exp x)
(exp x)
(exp x)
(exp x)
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(exp x)
(exp x)
(exp x)
(exp x)
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))

Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 1/3 (pow x 2))))
(.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))
2
#s(literal 2 binary64)
(+ 2 (pow x 2))
(fma.f64 x x #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x) x #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x) x #s(literal 2 binary64)))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(- (exp x) (exp (neg x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (exp (neg x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (exp (neg x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (exp (neg x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp (neg x))
(exp.f64 (neg.f64 x))
(exp (neg x))
(exp.f64 (neg.f64 x))
(exp (neg x))
(exp.f64 (neg.f64 x))
(exp (neg x))
(exp.f64 (neg.f64 x))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))

rewrite160.0ms (1.8%)

Memory

9.1MiB live, 212.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	30
0	13	15
1	55	15
2	424	15
3	7080	15
0	8062	15

Stop Event

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

Counts

5 → 644

Calls

Call 1

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

Outputs
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eval95.0ms (1%)

Memory: 2.0MiB live, 200.3MiB allocated
Compiler: Compiled 17 243 to 1 765 computations (89.8% saved)

prune11.0ms (0.1%)

Memory

6.2MiB live, 45.4MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	744	3	747
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	745	3	748

Accuracy

100.0%

Counts

748 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.1%	(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (cosh.f64 x)))
▶	100.0%	(tanh.f64 x)
▶	96.1%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))

Status

Accuracy

Program

▶

98.1%

(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (cosh.f64 x)))

▶

100.0%

(tanh.f64 x)

▶

96.1%

#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))

Compiler

Compiled 18 to 15 computations (16.7% saved)

simplify93.0ms (1%)

Memory

6.4MiB live, 128.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(sinh.f64 x)
cost-diff	0	(/.f64 #s(literal 1/2 binary64) (sinh.f64 x))
cost-diff	0	(*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (cosh.f64 x))
cost-diff	8128	(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (cosh.f64 x)))
cost-diff	0	(tanh.f64 x)
cost-diff	0	(pow.f64 x #s(literal 3 binary64))
cost-diff	0	(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
cost-diff	0	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	61
0	28	43
1	64	43
2	131	43
3	257	43
4	650	43
5	1781	43
6	6370	43
0	8360	43

Stop Event

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

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(literal -1/3 binary64)
(tanh.f64 x)
x
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (cosh.f64 x)))
#s(literal 1/2 binary64)
(*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (cosh.f64 x))
(/.f64 #s(literal 1/2 binary64) (sinh.f64 x))
(sinh.f64 x)
x
(cosh.f64 x)

Outputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(literal -1/3 binary64)
(tanh.f64 x)
x
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (cosh.f64 x)))
(tanh.f64 x)
#s(literal 1/2 binary64)
(*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (cosh.f64 x))
(*.f64 (/.f64 (cosh.f64 x) (sinh.f64 x)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) (sinh.f64 x))
(sinh.f64 x)
x
(cosh.f64 x)

localize229.0ms (2.5%)

Memory

-17.9MiB live, 219.2MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(sinh.f64 x)
accuracy	0.00390625	(cosh.f64 x)
accuracy	0.1875	(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (cosh.f64 x)))
accuracy	0.9883142465074979	(*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (cosh.f64 x))
accuracy	0.0234375	(tanh.f64 x)
accuracy	0.00390625	(pow.f64 x #s(literal 3 binary64))
accuracy	0.015625	(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
accuracy	2.520800318183198	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))

Samples

145.0ms	90×	2	valid
57.0ms	152×	1	valid
3.0ms	14×	0	valid

Compiler

Compiled 105 to 34 computations (67.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 185.0ms

ival-exp: 141.0ms (76.4% of total)

adjust: 12.0ms (6.5% of total)

ival-div: 7.0ms (3.8% of total)

const: 4.0ms (2.2% of total)

ival-add: 4.0ms (2.2% of total)

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

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

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

ival-cosh: 2.0ms (1.1% of total)

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

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

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

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

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

exact: 0.0ms (0% of total)

series20.0ms (0.2%)

Memory

-8.8MiB live, 34.3MiB allocated

Counts

9 → 108

Calls

Call 1

Inputs
#s(alt #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)) #<representation binary64>) () ())
#s(alt (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) (patch (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) #<representation binary64>) () ())
#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (tanh.f64 x) (patch (tanh.f64 x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (cosh.f64 x))) (patch (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (cosh.f64 x))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (cosh.f64 x)) (patch (.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (cosh.f64 x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (patch (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) #<representation binary64>) () ())
#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())
#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())

Outputs
#s(alt x (taylor 0 x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/3 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) (taylor 0 x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) (taylor 0 x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) (patch (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/3 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) (patch (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/3 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) (patch (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/3 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) (patch (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (tanh.f64 x) (patch (tanh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/3 (pow x 2)))) (taylor 0 x) (#s(alt (tanh.f64 x) (patch (tanh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) (taylor 0 x) (#s(alt (tanh.f64 x) (patch (tanh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) (taylor 0 x) (#s(alt (tanh.f64 x) (patch (tanh.f64 x) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (cosh.f64 x))) (patch (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (cosh.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/3 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (cosh.f64 x))) (patch (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (cosh.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (cosh.f64 x))) (patch (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (cosh.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (cosh.f64 x))) (patch (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (cosh.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 x) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (cosh.f64 x)) (patch (.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (cosh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/2 (* 1/6 (pow x 2))) x) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (cosh.f64 x)) (patch (.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (cosh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/2 (* (pow x 2) (+ 1/6 (* -1/90 (pow x 2))))) x) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (cosh.f64 x)) (patch (.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (cosh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/2 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/945 (pow x 2)) 1/90))))) x) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (cosh.f64 x)) (patch (.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (cosh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (patch (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/2 (* -1/12 (pow x 2))) x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (patch (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/2 (* (pow x 2) (- (* 7/720 (pow x 2)) 1/12))) x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (patch (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 7/720 (* -31/30240 (pow x 2)))) 1/12))) x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (patch (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/6 (pow x 2)))) (taylor 0 x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) (taylor 0 x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) (taylor 0 x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 (pow x 2))) (taylor 0 x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) (taylor 0 x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) (taylor 0 x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (taylor inf x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (taylor inf x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (taylor inf x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (taylor inf x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (pow x 3)) (taylor inf x) (#s(alt (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) (patch (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3)) (taylor inf x) (#s(alt (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) (patch (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3)) (taylor inf x) (#s(alt (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) (patch (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3)) (taylor inf x) (#s(alt (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) (patch (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (tanh.f64 x) (patch (tanh.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (tanh.f64 x) (patch (tanh.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (tanh.f64 x) (patch (tanh.f64 x) #<representation binary64>) () ())) ())
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#s(alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (cosh.f64 x))) (patch (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (cosh.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (cosh.f64 x))) (patch (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (cosh.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (cosh.f64 x)) (patch (.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (cosh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (cosh.f64 x)) (patch (.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (cosh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (cosh.f64 x)) (patch (.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (cosh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (cosh.f64 x)) (patch (.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (cosh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (- (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (patch (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (- (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (patch (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (- (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (patch (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (- (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (patch (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
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#s(alt (/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x)))) (taylor -inf x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)) #<representation binary64>) () ())) ())
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#s(alt (* -1/3 (pow x 3)) (taylor -inf x) (#s(alt (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) (patch (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) (patch (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) (patch (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) (patch (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (tanh.f64 x) (patch (tanh.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (tanh.f64 x) (patch (tanh.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (tanh.f64 x) (patch (tanh.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (tanh.f64 x) (patch (tanh.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (cosh.f64 x))) (patch (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (cosh.f64 x))) #<representation binary64>) () ())) ())
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#s(alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (cosh.f64 x))) (patch (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (cosh.f64 x))) #<representation binary64>) () ())) ())
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#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (cosh.f64 x)) (patch (.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (cosh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (cosh.f64 x)) (patch (.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (cosh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (cosh.f64 x)) (patch (.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (cosh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (cosh.f64 x)) (patch (.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (cosh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (- (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (patch (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (- (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (patch (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (- (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (patch (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (- (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (patch (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())

Calls

3 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	((/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (pow x 3) -1/3) x) (pow x 3) (tanh x) (/ 1/2 (* (/ 1/2 (sinh x)) (cosh x))) (* (/ 1/2 (sinh x)) (cosh x)) (/ 1/2 (sinh x)) (sinh x) (cosh x))
5.0ms	x	@	-inf	((/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (pow x 3) -1/3) x) (pow x 3) (tanh x) (/ 1/2 (* (/ 1/2 (sinh x)) (cosh x))) (* (/ 1/2 (sinh x)) (cosh x)) (/ 1/2 (sinh x)) (sinh x) (cosh x))
2.0ms	x	@	0	((/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (pow x 3) -1/3) x) (pow x 3) (tanh x) (/ 1/2 (* (/ 1/2 (sinh x)) (cosh x))) (* (/ 1/2 (sinh x)) (cosh x)) (/ 1/2 (sinh x)) (sinh x) (cosh x))

Time

Variable

Point

Expression

6.0ms

inf

((/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (pow x 3) -1/3) x) (pow x 3) (tanh x) (/ 1/2 (* (/ 1/2 (sinh x)) (cosh x))) (* (/ 1/2 (sinh x)) (cosh x)) (/ 1/2 (sinh x)) (sinh x) (cosh x))

5.0ms

-inf

((/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (pow x 3) -1/3) x) (pow x 3) (tanh x) (/ 1/2 (* (/ 1/2 (sinh x)) (cosh x))) (* (/ 1/2 (sinh x)) (cosh x)) (/ 1/2 (sinh x)) (sinh x) (cosh x))

2.0ms

((/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (pow x 3) -1/3) x) (pow x 3) (tanh x) (/ 1/2 (* (/ 1/2 (sinh x)) (cosh x))) (* (/ 1/2 (sinh x)) (cosh x)) (/ 1/2 (sinh x)) (sinh x) (cosh x))

simplify162.0ms (1.8%)

Memory

-4.1MiB live, 254.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	123	1072
1	316	1030
2	775	1030
3	2225	1030
4	4060	1030
5	6638	1030
0	8191	979

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 103

Calls

Call 1

Inputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* -1/3 (pow x 2))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(/ 1/2 x)
(/ (+ 1/2 (* 1/6 (pow x 2))) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/6 (* -1/90 (pow x 2))))) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/945 (pow x 2)) 1/90))))) x)
(/ 1/2 x)
(/ (+ 1/2 (* -1/12 (pow x 2))) x)
(/ (+ 1/2 (* (pow x 2) (- (* 7/720 (pow x 2)) 1/12))) x)
(/ (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 7/720 (* -31/30240 (pow x 2)))) 1/12))) x)
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(* -1/3 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(/ 1 (- (exp x) (/ 1 (exp x))))
(/ 1 (- (exp x) (/ 1 (exp x))))
(/ 1 (- (exp x) (/ 1 (exp x))))
(/ 1 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(* -1/3 (pow x 3))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(/ 1 (- (exp x) (/ 1 (exp x))))
(/ 1 (- (exp x) (/ 1 (exp x))))
(/ 1 (- (exp x) (/ 1 (exp x))))
(/ 1 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))

Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) x)
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) x)
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 1/6 (pow x 2))) x)
(/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/6 (* -1/90 (pow x 2))))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal -1/90 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/945 (pow x 2)) 1/90))))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* -1/12 (pow x 2))) x)
(/.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)
(/ (+ 1/2 (* (pow x 2) (- (* 7/720 (pow x 2)) 1/12))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 7/720 binary64) (.f64 x x) #s(literal -1/12 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)
(/ (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 7/720 (* -31/30240 (pow x 2)))) 1/12))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -31/30240 binary64) (.f64 x x) #s(literal 7/720 binary64)) (.f64 x x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* -1/3 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ 1 (- (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 1 (- (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 1 (- (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 1 (- (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* -1/3 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ 1 (- (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 1 (- (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 1 (- (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 1 (- (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))

rewrite198.0ms (2.2%)

Memory

19.2MiB live, 212.8MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	55
0	28	37
1	120	36
2	839	34
0	9033	34

Stop Event

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

Counts

9 → 1 110

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(pow.f64 x #s(literal 3 binary64))
(tanh.f64 x)
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (cosh.f64 x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (cosh.f64 x))
(/.f64 #s(literal 1/2 binary64) (sinh.f64 x))
(sinh.f64 x)
(cosh.f64 x)

Outputs
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eval319.0ms (3.5%)

Memory: -5.2MiB live, 269.8MiB allocated
Compiler: Compiled 26 243 to 2 242 computations (91.5% saved)

prune131.0ms (1.4%)

Memory

-17.7MiB live, 113.1MiB allocated

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	1 207	6	1 213
Fresh	0	0	0
Picked	1	2	3
Done	0	0	0
Total	1 208	8	1 216

Accuracy

100.0%

Counts

1 216 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.1%	(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (cosh.f64 x)))
▶	96.3%	(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)))
	95.9%	(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/90 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)))
▶	96.3%	(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)))
▶	95.9%	(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(literal 1/2 binary64) x)))
✓	100.0%	(tanh.f64 x)
▶	96.1%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
▶	96.1%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 #s(literal -1/3 binary64) x) x) x x))

Compiler

Compiled 155 to 103 computations (33.5% saved)

simplify155.0ms (1.7%)

Memory

-10.2MiB live, 146.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64))
cost-diff	0	(/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)
cost-diff	0	#s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) x)
cost-diff	0	#s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(literal 1/2 binary64) x))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(literal 1/2 binary64) x)))
cost-diff	-5824	(.f64 (.f64 x x) x)
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)
cost-diff	0	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
cost-diff	-5824	(fma.f64 (.f64 (.f64 #s(literal -1/3 binary64) x) x) x x)
cost-diff	0	(*.f64 #s(literal -1/3 binary64) x)
cost-diff	0	(.f64 (.f64 #s(literal -1/3 binary64) x) x)
cost-diff	0	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 #s(literal -1/3 binary64) x) x) x x))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
cost-diff	0	(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
cost-diff	0	#s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)))

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	37	276
0	59	276
1	106	266
2	171	266
3	342	266
4	753	262
5	1442	250
6	3288	250
7	7753	250
0	8348	250

Stop Event

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

Calls

Call 1

Inputs
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)))
#s(literal 1/2 binary64)
#s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64))
(fma.f64 #s(literal 1/945 binary64) (*.f64 x x) #s(literal -1/90 binary64))
#s(literal 1/945 binary64)
(*.f64 x x)
x
#s(literal -1/90 binary64)
#s(literal 1/6 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 #s(literal -1/3 binary64) x) x) x x))
(fma.f64 (.f64 (.f64 #s(literal -1/3 binary64) x) x) x x)
(.f64 (.f64 #s(literal -1/3 binary64) x) x)
(*.f64 #s(literal -1/3 binary64) x)
#s(literal -1/3 binary64)
x
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
(fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)
(.f64 (.f64 x x) x)
(*.f64 x x)
x
#s(literal -1/3 binary64)
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(literal 1/2 binary64) x)))
#s(literal 1/2 binary64)
#s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)
x
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)))
#s(literal 1/2 binary64)
#s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x))
(/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
(*.f64 x x)
x

Outputs
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/945 binary64) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)))
#s(literal 1/2 binary64)
#s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/945 binary64) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/945 binary64) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/945 binary64) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/945 binary64) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64))
(fma.f64 #s(literal 1/945 binary64) (*.f64 x x) #s(literal -1/90 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/945 binary64) #s(literal -1/90 binary64))
#s(literal 1/945 binary64)
(*.f64 x x)
x
#s(literal -1/90 binary64)
#s(literal 1/6 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 #s(literal -1/3 binary64) x) x) x x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
(fma.f64 (.f64 (.f64 #s(literal -1/3 binary64) x) x) x x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(.f64 (.f64 #s(literal -1/3 binary64) x) x)
(*.f64 #s(literal -1/3 binary64) x)
#s(literal -1/3 binary64)
x
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
(fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(.f64 (.f64 x x) x)
(pow.f64 x #s(literal 3 binary64))
(*.f64 x x)
x
#s(literal -1/3 binary64)
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(literal 1/2 binary64) x)))
#s(literal 1/2 binary64)
#s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)
x
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)))
#s(literal 1/2 binary64)
#s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x))
(/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
(*.f64 x x)
x

localize389.0ms (4.3%)

Memory

39.8MiB live, 395.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.015625	(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64))
accuracy	0.015625	(/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)
accuracy	0.1875	(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)))
accuracy	2.2170388840793755	#s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x))
accuracy	0	(/.f64 #s(literal 1/2 binary64) x)
accuracy	0.1875	(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(literal 1/2 binary64) x)))
accuracy	2.459408418024766	#s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(literal 1/2 binary64) x))
accuracy	0	(*.f64 x x)
accuracy	0.015625	(fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)
accuracy	0.0859375	(.f64 (.f64 x x) x)
accuracy	2.520800318183198	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
accuracy	0.015625	(fma.f64 (.f64 (.f64 #s(literal -1/3 binary64) x) x) x x)
accuracy	0.12109375	(.f64 (.f64 #s(literal -1/3 binary64) x) x)
accuracy	0.25390625	(*.f64 #s(literal -1/3 binary64) x)
accuracy	2.520800318183198	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 #s(literal -1/3 binary64) x) x) x x))
accuracy	0.01953125	(fma.f64 #s(literal 1/945 binary64) (*.f64 x x) #s(literal -1/90 binary64))
accuracy	0.0234375	(fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64))
accuracy	0.1875	(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)))
accuracy	2.163033542401305	#s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))

Samples

229.0ms	152×	1	valid
81.0ms	90×	2	valid
4.0ms	14×	0	valid

Compiler

Compiled 417 to 65 computations (84.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 202.0ms

const: 60.0ms (29.7% of total)

ival-mult: 43.0ms (21.3% of total)

ival-exp: 38.0ms (18.8% of total)

adjust: 24.0ms (11.9% of total)

ival-div: 15.0ms (7.4% of total)

ival-add: 14.0ms (6.9% of total)

ival-cosh: 3.0ms (1.5% of total)

ival-sub: 3.0ms (1.5% of total)

ival-sinh: 2.0ms (1% of total)

ival-neg: 1.0ms (0.5% 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

-0.5MiB live, 37.7MiB allocated

Counts

21 → 252

Calls

Call 1

Inputs
#s(alt (/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x))) (patch (/.f64 #s(literal 1/2 binary64) #s(approx ( (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))) #<representation binary64>) () ())
#s(alt #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)) (patch #s(approx ( (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) (patch (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 #s(literal -1/3 binary64) x) x) x x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 #s(literal -1/3 binary64) x) x) x x)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(literal -1/3 binary64) x) x) (patch (.f64 (.f64 #s(literal -1/3 binary64) x) x) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -1/3 binary64) x) (patch (.f64 #s(literal -1/3 binary64) x) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (.f64 #s(literal -1/3 binary64) x) x) x x) (patch (fma.f64 (.f64 (.f64 #s(literal -1/3 binary64) x) x) x x) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x) (patch (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(literal 1/2 binary64) x))) (patch (/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(literal 1/2 binary64) x))) #<representation binary64>) () ())
#s(alt #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(literal 1/2 binary64) x)) (patch #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) x) (patch (/.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) x))) (patch (/.f64 #s(literal 1/2 binary64) #s(approx ( (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x))) #<representation binary64>) () ())
#s(alt #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) x)) (patch #s(approx ( (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) (patch (/.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (patch (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) #<representation binary64>) () ())

Outputs
#s(alt x (taylor 0 x) (#s(alt (/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x))) (patch (/.f64 #s(literal 1/2 binary64) #s(approx ( (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/3 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x))) (patch (/.f64 #s(literal 1/2 binary64) #s(approx ( (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x))) (patch (/.f64 #s(literal 1/2 binary64) #s(approx ( (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x))) (patch (/.f64 #s(literal 1/2 binary64) #s(approx ( (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 x) (taylor 0 x) (#s(alt #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)) (patch #s(approx ( (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/2 (* 1/6 (pow x 2))) x) (taylor 0 x) (#s(alt #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)) (patch #s(approx ( (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/2 (* (pow x 2) (+ 1/6 (* -1/90 (pow x 2))))) x) (taylor 0 x) (#s(alt #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)) (patch #s(approx ( (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/2 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/945 (pow x 2)) 1/90))))) x) (taylor 0 x) (#s(alt #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)) (patch #s(approx ( (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 x) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) (patch (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/2 (* 1/6 (pow x 2))) x) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) (patch (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/2 (* (pow x 2) (+ 1/6 (* -1/90 (pow x 2))))) x) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) (patch (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/2 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/945 (pow x 2)) 1/90))))) x) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) (patch (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor 0 x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* (pow x 2) (+ 1/6 (* -1/90 (pow x 2))))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/945 (pow x 2)) 1/90))))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 #s(literal -1/3 binary64) x) x) x x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 #s(literal -1/3 binary64) x) x) x x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/3 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 #s(literal -1/3 binary64) x) x) x x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 #s(literal -1/3 binary64) x) x) x x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) (taylor 0 x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 #s(literal -1/3 binary64) x) x) x x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 #s(literal -1/3 binary64) x) x) x x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) (taylor 0 x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 #s(literal -1/3 binary64) x) x) x x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 #s(literal -1/3 binary64) x) x) x x)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 #s(literal -1/3 binary64) x) x) (patch (.f64 (.f64 #s(literal -1/3 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 #s(literal -1/3 binary64) x) x) (patch (.f64 (.f64 #s(literal -1/3 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 #s(literal -1/3 binary64) x) x) (patch (.f64 (.f64 #s(literal -1/3 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 #s(literal -1/3 binary64) x) x) (patch (.f64 (.f64 #s(literal -1/3 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (* -1/3 x) (taylor 0 x) (#s(alt (.f64 #s(literal -1/3 binary64) x) (patch (.f64 #s(literal -1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1/3 x) (taylor 0 x) (#s(alt (.f64 #s(literal -1/3 binary64) x) (patch (.f64 #s(literal -1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1/3 x) (taylor 0 x) (#s(alt (.f64 #s(literal -1/3 binary64) x) (patch (.f64 #s(literal -1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1/3 x) (taylor 0 x) (#s(alt (.f64 #s(literal -1/3 binary64) x) (patch (.f64 #s(literal -1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (fma.f64 (.f64 (.f64 #s(literal -1/3 binary64) x) x) x x) (patch (fma.f64 (.f64 (.f64 #s(literal -1/3 binary64) x) x) x x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/3 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 (.f64 (.f64 #s(literal -1/3 binary64) x) x) x x) (patch (fma.f64 (.f64 (.f64 #s(literal -1/3 binary64) x) x) x x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/3 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 (.f64 (.f64 #s(literal -1/3 binary64) x) x) x x) (patch (fma.f64 (.f64 (.f64 #s(literal -1/3 binary64) x) x) x x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/3 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 (.f64 (.f64 #s(literal -1/3 binary64) x) x) x x) (patch (fma.f64 (.f64 (.f64 #s(literal -1/3 binary64) x) x) x x) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/3 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) (taylor 0 x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) (taylor 0 x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x) (patch (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/3 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x) (patch (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/3 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x) (patch (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/3 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x) (patch (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
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#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(literal 1/2 binary64) x))) (patch (/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(literal 1/2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(literal 1/2 binary64) x))) (patch (/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(literal 1/2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(literal 1/2 binary64) x))) (patch (/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(literal 1/2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(literal 1/2 binary64) x))) (patch (/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(literal 1/2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (taylor -inf x) (#s(alt #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(literal 1/2 binary64) x)) (patch #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (taylor -inf x) (#s(alt #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(literal 1/2 binary64) x)) (patch #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (taylor -inf x) (#s(alt #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(literal 1/2 binary64) x)) (patch #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (taylor -inf x) (#s(alt #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(literal 1/2 binary64) x)) (patch #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) x) (patch (/.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) x) (patch (/.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) x) (patch (/.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) x) (patch (/.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) x))) (patch (/.f64 #s(literal 1/2 binary64) #s(approx ( (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) x))) (patch (/.f64 #s(literal 1/2 binary64) #s(approx ( (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) x))) (patch (/.f64 #s(literal 1/2 binary64) #s(approx ( (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) x))) (patch (/.f64 #s(literal 1/2 binary64) #s(approx ( (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (taylor -inf x) (#s(alt #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) x)) (patch #s(approx ( (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (taylor -inf x) (#s(alt #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) x)) (patch #s(approx ( (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (taylor -inf x) (#s(alt #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) x)) (patch #s(approx ( (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (taylor -inf x) (#s(alt #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) x)) (patch #s(approx ( (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor -inf x) (#s(alt (/.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) (patch (/.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) (patch (/.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) (patch (/.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) (patch (/.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/945 (pow x 4)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- 1/945 (* 1/90 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- (+ 1/945 (/ 1/6 (pow x 4))) (* 1/90 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- (+ 1/945 (/ 1/6 (pow x 4))) (* 1/90 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/945 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (patch (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/945 (* 1/90 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (patch (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/945 (* 1/90 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (patch (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/945 (* 1/90 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (patch (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

16.0ms

((/ 1/2 (* (/ 1/2 (sinh x)) (cosh x))) (* (/ 1/2 (sinh x)) (cosh x)) (/ (+ (* (+ (* (+ (* 1/945 (* x x)) -1/90) (* x x)) 1/6) (* x x)) 1/2) x) (+ (* (+ (* (+ (* 1/945 (* x x)) -1/90) (* x x)) 1/6) (* x x)) 1/2) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (* (* -1/3 x) x) (* -1/3 x) (+ (* (* (* -1/3 x) x) x) x) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (* (* x x) x) -1/3) x) (* x x) (* (* x x) x) (/ 1/2 (* (/ 1/2 (sinh x)) (cosh x))) (* (/ 1/2 (sinh x)) (cosh x)) (/ 1/2 x) (/ 1/2 (* (/ 1/2 (sinh x)) (cosh x))) (* (/ 1/2 (sinh x)) (cosh x)) (/ (+ (* 1/6 (* x x)) 1/2) x) (+ (* 1/6 (* x x)) 1/2) (+ (* (+ (* 1/945 (* x x)) -1/90) (* x x)) 1/6) (+ (* 1/945 (* x x)) -1/90))

7.0ms

-inf

((/ 1/2 (* (/ 1/2 (sinh x)) (cosh x))) (* (/ 1/2 (sinh x)) (cosh x)) (/ (+ (* (+ (* (+ (* 1/945 (* x x)) -1/90) (* x x)) 1/6) (* x x)) 1/2) x) (+ (* (+ (* (+ (* 1/945 (* x x)) -1/90) (* x x)) 1/6) (* x x)) 1/2) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (* (* -1/3 x) x) (* -1/3 x) (+ (* (* (* -1/3 x) x) x) x) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (* (* x x) x) -1/3) x) (* x x) (* (* x x) x) (/ 1/2 (* (/ 1/2 (sinh x)) (cosh x))) (* (/ 1/2 (sinh x)) (cosh x)) (/ 1/2 x) (/ 1/2 (* (/ 1/2 (sinh x)) (cosh x))) (* (/ 1/2 (sinh x)) (cosh x)) (/ (+ (* 1/6 (* x x)) 1/2) x) (+ (* 1/6 (* x x)) 1/2) (+ (* (+ (* 1/945 (* x x)) -1/90) (* x x)) 1/6) (+ (* 1/945 (* x x)) -1/90))

4.0ms

inf

((/ 1/2 (* (/ 1/2 (sinh x)) (cosh x))) (* (/ 1/2 (sinh x)) (cosh x)) (/ (+ (* (+ (* (+ (* 1/945 (* x x)) -1/90) (* x x)) 1/6) (* x x)) 1/2) x) (+ (* (+ (* (+ (* 1/945 (* x x)) -1/90) (* x x)) 1/6) (* x x)) 1/2) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (* (* -1/3 x) x) (* -1/3 x) (+ (* (* (* -1/3 x) x) x) x) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (* (* x x) x) -1/3) x) (* x x) (* (* x x) x) (/ 1/2 (* (/ 1/2 (sinh x)) (cosh x))) (* (/ 1/2 (sinh x)) (cosh x)) (/ 1/2 x) (/ 1/2 (* (/ 1/2 (sinh x)) (cosh x))) (* (/ 1/2 (sinh x)) (cosh x)) (/ (+ (* 1/6 (* x x)) 1/2) x) (+ (* 1/6 (* x x)) 1/2) (+ (* (+ (* 1/945 (* x x)) -1/90) (* x x)) 1/6) (+ (* 1/945 (* x x)) -1/90))

simplify157.0ms (1.7%)

Memory

-41.8MiB live, 206.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	117	2328
1	294	2261
2	734	2261
3	2229	2234
4	6652	2234
0	8355	2112

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 245

Calls

Call 1

Inputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(/ 1/2 x)
(/ (+ 1/2 (* 1/6 (pow x 2))) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/6 (* -1/90 (pow x 2))))) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/945 (pow x 2)) 1/90))))) x)
(/ 1/2 x)
(/ (+ 1/2 (* 1/6 (pow x 2))) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/6 (* -1/90 (pow x 2))))) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/945 (pow x 2)) 1/90))))) x)
1/2
(+ 1/2 (* 1/6 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/6 (* -1/90 (pow x 2)))))
(+ 1/2 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/945 (pow x 2)) 1/90)))))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* -1/3 (pow x 2))))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* -1/3 (pow x 2))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(/ 1/2 x)
(/ (+ 1/2 (* 1/6 (pow x 2))) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/6 (* -1/90 (pow x 2))))) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/945 (pow x 2)) 1/90))))) x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(/ 1/2 x)
(/ (+ 1/2 (* 1/6 (pow x 2))) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/6 (* -1/90 (pow x 2))))) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/945 (pow x 2)) 1/90))))) x)
(/ 1/2 x)
(/ (+ 1/2 (* 1/6 (pow x 2))) x)
(/ (+ 1/2 (* 1/6 (pow x 2))) x)
(/ (+ 1/2 (* 1/6 (pow x 2))) x)
1/2
(+ 1/2 (* 1/6 (pow x 2)))
(+ 1/2 (* 1/6 (pow x 2)))
(+ 1/2 (* 1/6 (pow x 2)))
1/6
(+ 1/6 (* -1/90 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* 1/945 (pow x 2)) 1/90)))
(+ 1/6 (* (pow x 2) (- (* 1/945 (pow x 2)) 1/90)))
-1/90
(- (* 1/945 (pow x 2)) 1/90)
(- (* 1/945 (pow x 2)) 1/90)
(- (* 1/945 (pow x 2)) 1/90)
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/945 (pow x 5))
(* (pow x 5) (- 1/945 (* 1/90 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/945 (/ 1/6 (pow x 4))) (* 1/90 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/945 (+ (/ 1/6 (pow x 4)) (* 1/2 (/ 1 (pow x 6))))) (* 1/90 (/ 1 (pow x 2)))))
(* 1/945 (pow x 6))
(* (pow x 6) (- 1/945 (* 1/90 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/945 (/ 1/6 (pow x 4))) (* 1/90 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/945 (+ (/ 1/6 (pow x 4)) (* 1/2 (/ 1 (pow x 6))))) (* 1/90 (/ 1 (pow x 2)))))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(* -1/3 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/6 x)
(* x (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 1/945 (pow x 4))
(* (pow x 4) (- 1/945 (* 1/90 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/945 (/ 1/6 (pow x 4))) (* 1/90 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/945 (/ 1/6 (pow x 4))) (* 1/90 (/ 1 (pow x 2)))))
(* 1/945 (pow x 2))
(* (pow x 2) (- 1/945 (* 1/90 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/945 (* 1/90 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/945 (* 1/90 (/ 1 (pow x 2)))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/945 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/90 (/ 1 (pow x 2))) 1/945)))
(* -1 (* (pow x 5) (- (* 1/90 (/ 1 (pow x 2))) (+ 1/945 (/ 1/6 (pow x 4))))))
(* -1 (* (pow x 5) (- (+ (* -1 (/ (+ 1/6 (* 1/2 (/ 1 (pow x 2)))) (pow x 4))) (* 1/90 (/ 1 (pow x 2)))) 1/945)))
(* 1/945 (pow x 6))
(* (pow x 6) (- 1/945 (* 1/90 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/945 (/ 1/6 (pow x 4))) (* 1/90 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/945 (+ (/ 1/6 (pow x 4)) (* 1/2 (/ 1 (pow x 6))))) (* 1/90 (/ 1 (pow x 2)))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 (pow x 3))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(* -1/3 (pow x 3))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/6 x)
(* x (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 1/945 (pow x 4))
(* (pow x 4) (- 1/945 (* 1/90 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/945 (/ 1/6 (pow x 4))) (* 1/90 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/945 (/ 1/6 (pow x 4))) (* 1/90 (/ 1 (pow x 2)))))
(* 1/945 (pow x 2))
(* (pow x 2) (- 1/945 (* 1/90 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/945 (* 1/90 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/945 (* 1/90 (/ 1 (pow x 2)))))

Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 1/6 (pow x 2))) x)
(fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))
(/ (+ 1/2 (* (pow x 2) (+ 1/6 (* -1/90 (pow x 2))))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal -1/90 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/945 (pow x 2)) 1/90))))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 1/6 (pow x 2))) x)
(fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))
(/ (+ 1/2 (* (pow x 2) (+ 1/6 (* -1/90 (pow x 2))))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal -1/90 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/945 (pow x 2)) 1/90))))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 (pow x 2)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (+ 1/6 (* -1/90 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal -1/90 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/945 (pow x 2)) 1/90)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) x)
(* -1/3 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/3 binary64))
(* -1/3 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/3 binary64))
(* -1/3 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/3 binary64))
(* -1/3 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) x)
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 1/6 (pow x 2))) x)
(fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))
(/ (+ 1/2 (* (pow x 2) (+ 1/6 (* -1/90 (pow x 2))))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal -1/90 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/945 (pow x 2)) 1/90))))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 1/6 (pow x 2))) x)
(fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))
(/ (+ 1/2 (* (pow x 2) (+ 1/6 (* -1/90 (pow x 2))))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal -1/90 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/945 (pow x 2)) 1/90))))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 1/6 (pow x 2))) x)
(fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))
(/ (+ 1/2 (* 1/6 (pow x 2))) x)
(fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))
(/ (+ 1/2 (* 1/6 (pow x 2))) x)
(fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 (pow x 2)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (pow x 2)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (pow x 2)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -1/90 (pow x 2)))
(fma.f64 #s(literal -1/90 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (- (* 1/945 (pow x 2)) 1/90)))
(fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (- (* 1/945 (pow x 2)) 1/90)))
(fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64))
-1/90
#s(literal -1/90 binary64)
(- (* 1/945 (pow x 2)) 1/90)
(fma.f64 #s(literal 1/945 binary64) (*.f64 x x) #s(literal -1/90 binary64))
(- (* 1/945 (pow x 2)) 1/90)
(fma.f64 #s(literal 1/945 binary64) (*.f64 x x) #s(literal -1/90 binary64))
(- (* 1/945 (pow x 2)) 1/90)
(fma.f64 #s(literal 1/945 binary64) (*.f64 x x) #s(literal -1/90 binary64))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
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(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))
(* x (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))
(* x (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(* 1/945 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/945 binary64))
(* (pow x 4) (- 1/945 (* 1/90 (/ 1 (pow x 2)))))
(.f64 (.f64 (fma.f64 #s(literal 1/945 binary64) (*.f64 x x) #s(literal -1/90 binary64)) x) x)
(* (pow x 4) (- (+ 1/945 (/ 1/6 (pow x 4))) (* 1/90 (/ 1 (pow x 2)))))
(fma.f64 (.f64 #s(literal -1/90 binary64) x) x (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/945 binary64)) (pow.f64 x #s(literal 4 binary64))))
(* (pow x 4) (- (+ 1/945 (/ 1/6 (pow x 4))) (* 1/90 (/ 1 (pow x 2)))))
(fma.f64 (.f64 #s(literal -1/90 binary64) x) x (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/945 binary64)) (pow.f64 x #s(literal 4 binary64))))
(* 1/945 (pow x 2))
(.f64 #s(literal 1/945 binary64) (.f64 x x))
(* (pow x 2) (- 1/945 (* 1/90 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/945 binary64) (*.f64 x x) #s(literal -1/90 binary64))
(* (pow x 2) (- 1/945 (* 1/90 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/945 binary64) (*.f64 x x) #s(literal -1/90 binary64))
(* (pow x 2) (- 1/945 (* 1/90 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/945 binary64) (*.f64 x x) #s(literal -1/90 binary64))

rewrite188.0ms (2.1%)

Memory

49.4MiB live, 274.0MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	256
0	59	232
1	248	218
2	1737	206
0	8387	206

Stop Event

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

Counts

21 → 445

Calls

Call 1

Inputs
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)))
#s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 #s(literal -1/3 binary64) x) x) x x))
(.f64 (.f64 #s(literal -1/3 binary64) x) x)
(*.f64 #s(literal -1/3 binary64) x)
(fma.f64 (.f64 (.f64 #s(literal -1/3 binary64) x) x) x x)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
(fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)
(*.f64 x x)
(.f64 (.f64 x x) x)
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(literal 1/2 binary64) x)))
#s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)))
#s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x))
(/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64))
(fma.f64 #s(literal 1/945 binary64) (*.f64 x x) #s(literal -1/90 binary64))

Outputs
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eval157.0ms (1.7%)

Memory: -25.9MiB live, 255.3MiB allocated
Compiler: Compiled 16 294 to 2 057 computations (87.4% saved)

prune29.0ms (0.3%)

Memory

16.4MiB live, 103.9MiB allocated

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	758	4	762
Fresh	1	0	1
Picked	3	2	5
Done	0	2	2
Total	762	8	770

Accuracy

100.0%

Counts

770 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.1%	(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (cosh.f64 x)))
▶	96.3%	(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))))
✓	96.3%	(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)))
▶	95.9%	(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)))
▶	3.8%	(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x))) x)))
▶	4.0%	(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) #s(approx (/ (+ (* 1/6 (* x x)) 1/2) x) (*.f64 #s(literal 1/6 binary64) x))))
✓	100.0%	(tanh.f64 x)
✓	96.1%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))

Compiler

Compiled 85 to 61 computations (28.2% saved)

simplify104.0ms (1.1%)

Memory

7.9MiB live, 163.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(/.f64 #s(literal 1/2 binary64) x)
cost-diff	0	(fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))
cost-diff	0	#s(approx (* (/ 1/2 (sinh x)) (cosh x)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x)))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))))
cost-diff	0	(fma.f64 (fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64))
cost-diff	0	(/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)
cost-diff	0	#s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)))
cost-diff	0	#s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
cost-diff	0	(/.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x))) x)
cost-diff	0	#s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x))) x))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x))) x)))
cost-diff	0	(*.f64 #s(literal 1/6 binary64) x)
cost-diff	0	#s(approx (/ (+ (* 1/6 (* x x)) 1/2) x) (*.f64 #s(literal 1/6 binary64) x))
cost-diff	0	#s(approx (* (/ 1/2 (sinh x)) (cosh x)) #s(approx (/ (+ (* 1/6 (* x x)) 1/2) x) (*.f64 #s(literal 1/6 binary64) x)))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) #s(approx (/ (+ (* 1/6 (* x x)) 1/2) x) (*.f64 #s(literal 1/6 binary64) x))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	322
0	51	322
1	79	322
2	121	322
3	214	322
4	378	322
5	571	322
6	1603	322
7	4955	322
0	8367	309

Stop Event

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

Calls

Call 1

Inputs
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) #s(approx (/ (+ (* 1/6 (* x x)) 1/2) x) (*.f64 #s(literal 1/6 binary64) x))))
#s(literal 1/2 binary64)
#s(approx (* (/ 1/2 (sinh x)) (cosh x)) #s(approx (/ (+ (* 1/6 (* x x)) 1/2) x) (*.f64 #s(literal 1/6 binary64) x)))
#s(approx (/ (+ (* 1/6 (* x x)) 1/2) x) (*.f64 #s(literal 1/6 binary64) x))
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
x
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x))) x)))
#s(literal 1/2 binary64)
#s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x))) x))
(/.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x))) x)
#s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
#s(literal 1/6 binary64)
(*.f64 x x)
x
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)))
#s(literal 1/2 binary64)
#s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x))
(/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)
(fma.f64 (fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64))
(fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
#s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64))
#s(literal -1/90 binary64)
(*.f64 x x)
x
#s(literal 1/6 binary64)
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))))
#s(literal 1/2 binary64)
#s(approx (* (/ 1/2 (sinh x)) (cosh x)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))
#s(literal 1/6 binary64)
x
(/.f64 #s(literal 1/2 binary64) x)

Outputs
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) #s(approx (/ (+ (* 1/6 (* x x)) 1/2) x) (*.f64 #s(literal 1/6 binary64) x))))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) #s(approx (/ (+ (* 1/6 (* x x)) 1/2) x) (*.f64 x #s(literal 1/6 binary64)))))
#s(literal 1/2 binary64)
#s(approx (* (/ 1/2 (sinh x)) (cosh x)) #s(approx (/ (+ (* 1/6 (* x x)) 1/2) x) (*.f64 #s(literal 1/6 binary64) x)))
#s(approx (* (/ 1/2 (sinh x)) (cosh x)) #s(approx (/ (+ (* 1/6 (* x x)) 1/2) x) (*.f64 x #s(literal 1/6 binary64))))
#s(approx (/ (+ (* 1/6 (* x x)) 1/2) x) (*.f64 #s(literal 1/6 binary64) x))
#s(approx (/ (+ (* 1/6 (* x x)) 1/2) x) (*.f64 x #s(literal 1/6 binary64)))
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 x #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
x
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x))) x)))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 (.f64 x x) #s(literal 1/6 binary64))) x)))
#s(literal 1/2 binary64)
#s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x))) x))
#s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 (.f64 x x) #s(literal 1/6 binary64))) x))
(/.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x))) x)
(/.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 (.f64 x x) #s(literal 1/6 binary64))) x)
#s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
#s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(*.f64 x x)
x
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)))
#s(literal 1/2 binary64)
#s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x))
(/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)
(fma.f64 (fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64))
(fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
#s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64))
#s(literal -1/90 binary64)
(*.f64 x x)
x
#s(literal 1/6 binary64)
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (fma.f64 x #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))
#s(literal 1/2 binary64)
#s(approx (* (/ 1/2 (sinh x)) (cosh x)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x)))
#s(approx (* (/ 1/2 (sinh x)) (cosh x)) (fma.f64 x #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))
(fma.f64 x #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))
#s(literal 1/6 binary64)
x
(/.f64 #s(literal 1/2 binary64) x)

localize79.0ms (0.9%)

Memory

0.2MiB live, 198.1MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal 1/2 binary64) x)
accuracy	0.0234375	(fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))
accuracy	0.1875	(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))))
accuracy	2.2170388840793755	#s(approx (* (/ 1/2 (sinh x)) (cosh x)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x)))
accuracy	0.0234375	(fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
accuracy	0.1875	(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)))
accuracy	2.163033542401305	#s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x))
accuracy	2.702383850156677	#s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64))
accuracy	0.1875	(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x))) x)))
accuracy	0.21875	(.f64 #s(literal 1/6 binary64) (.f64 x x))
accuracy	2.2170388840793755	#s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x))) x))
accuracy	60.2201460252038	#s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
accuracy	0.1875	(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) #s(approx (/ (+ (* 1/6 (* x x)) 1/2) x) (*.f64 #s(literal 1/6 binary64) x))))
accuracy	0.25390625	(*.f64 #s(literal 1/6 binary64) x)
accuracy	2.2170388840793755	#s(approx (* (/ 1/2 (sinh x)) (cosh x)) #s(approx (/ (+ (* 1/6 (* x x)) 1/2) x) (*.f64 #s(literal 1/6 binary64) x)))
accuracy	60.502279125884996	#s(approx (/ (+ (* 1/6 (* x x)) 1/2) x) (*.f64 #s(literal 1/6 binary64) x))

Samples

62.0ms

256×

valid

Compiler

Compiled 357 to 50 computations (86% saved)

Precisions

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

ival-div: 12.0ms (25.4% of total)

const: 12.0ms (25.4% of total)

ival-mult: 11.0ms (23.3% of total)

ival-add: 6.0ms (12.7% of total)

ival-cosh: 3.0ms (6.3% of total)

ival-sinh: 3.0ms (6.3% of total)

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

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

exact: 0.0ms (0% of total)

series161.0ms (1.8%)

Memory

-8.5MiB live, 30.5MiB allocated

Counts

19 → 228

Calls

Call 1

Inputs
#s(alt (/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) #s(approx (/ (+ (* 1/6 (* x x)) 1/2) x) (.f64 #s(literal 1/6 binary64) x)))) (patch (/.f64 #s(literal 1/2 binary64) #s(approx ( (/ 1/2 (sinh x)) (cosh x)) #s(approx (/ (+ (* 1/6 (* x x)) 1/2) x) (*.f64 #s(literal 1/6 binary64) x)))) #<representation binary64>) () ())
#s(alt #s(approx (* (/ 1/2 (sinh x)) (cosh x)) #s(approx (/ (+ (* 1/6 (* x x)) 1/2) x) (.f64 #s(literal 1/6 binary64) x))) (patch #s(approx ( (/ 1/2 (sinh x)) (cosh x)) #s(approx (/ (+ (* 1/6 (* x x)) 1/2) x) (*.f64 #s(literal 1/6 binary64) x))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* 1/6 (* x x)) 1/2) x) (.f64 #s(literal 1/6 binary64) x)) (patch #s(approx (/ (+ ( 1/6 (* x x)) 1/2) x) (*.f64 #s(literal 1/6 binary64) x)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/6 binary64) x) (patch (.f64 #s(literal 1/6 binary64) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x))) x))) (patch (/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x))) x))) #<representation binary64>) () ())
#s(alt #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x))) x)) (patch #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x))) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x))) x) (patch (/.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x))) x) #<representation binary64>) () ())
#s(alt #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x))) (patch #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x))) (patch (/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x))) #<representation binary64>) () ())
#s(alt #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)) (patch #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) (patch (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x)))) (patch (/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x)))) #<representation binary64>) () ())
#s(alt #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))) (patch #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x)) (patch (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) x) (patch (/.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/6 binary64) (.f64 x x)) (patch (.f64 #s(literal 1/6 binary64) (.f64 x x)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (patch #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (patch (fma.f64 #s(approx (+ ( 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) #<representation binary64>) () ())

Outputs
#s(alt x (taylor 0 x) (#s(alt (/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) #s(approx (/ (+ (* 1/6 (* x x)) 1/2) x) (.f64 #s(literal 1/6 binary64) x)))) (patch (/.f64 #s(literal 1/2 binary64) #s(approx ( (/ 1/2 (sinh x)) (cosh x)) #s(approx (/ (+ (* 1/6 (* x x)) 1/2) x) (*.f64 #s(literal 1/6 binary64) x)))) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 6) (- (+ 1/945 (+ (/ 1/6 (pow x 4)) (* 1/2 (/ 1 (pow x 6))))) (* 1/90 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x)))) (patch (/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x)))) (patch (/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x)))) (patch (/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x)))) (patch (/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (taylor -inf x) (#s(alt #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))) (patch #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (taylor -inf x) (#s(alt #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))) (patch #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (taylor -inf x) (#s(alt #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))) (patch #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (taylor -inf x) (#s(alt #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))) (patch #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x)) (patch (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x)) (patch (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x)) (patch (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x)) (patch (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) x) (patch (/.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) x) (patch (/.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) x) (patch (/.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) x) (patch (/.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor -inf x) (#s(alt (.f64 #s(literal 1/6 binary64) (.f64 x x)) (patch (.f64 #s(literal 1/6 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor -inf x) (#s(alt (.f64 #s(literal 1/6 binary64) (.f64 x x)) (patch (.f64 #s(literal 1/6 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor -inf x) (#s(alt (.f64 #s(literal 1/6 binary64) (.f64 x x)) (patch (.f64 #s(literal 1/6 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor -inf x) (#s(alt (.f64 #s(literal 1/6 binary64) (.f64 x x)) (patch (.f64 #s(literal 1/6 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 1/945 (pow x 2)) (taylor -inf x) (#s(alt #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (patch #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/945 (* 1/90 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (patch #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/945 (* 1/90 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (patch #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/945 (* 1/90 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (patch #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/945 (pow x 4)) (taylor -inf x) (#s(alt (fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (patch (fma.f64 #s(approx (+ ( 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- 1/945 (* 1/90 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (patch (fma.f64 #s(approx (+ ( 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- (+ 1/945 (/ 1/6 (pow x 4))) (* 1/90 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (patch (fma.f64 #s(approx (+ ( 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- (+ 1/945 (/ 1/6 (pow x 4))) (* 1/90 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (patch (fma.f64 #s(approx (+ ( 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

147.0ms

inf

((/ 1/2 (* (/ 1/2 (sinh x)) (cosh x))) (* (/ 1/2 (sinh x)) (cosh x)) (/ (+ (* 1/6 (* x x)) 1/2) x) (* 1/6 x) (/ 1/2 (* (/ 1/2 (sinh x)) (cosh x))) (* (/ 1/2 (sinh x)) (cosh x)) (/ (+ (* 1/6 (* x x)) 1/2) x) (+ (* 1/6 (* x x)) 1/2) (/ 1/2 (* (/ 1/2 (sinh x)) (cosh x))) (* (/ 1/2 (sinh x)) (cosh x)) (/ (+ (* (+ (* (+ (* 1/945 (* x x)) -1/90) (* x x)) 1/6) (* x x)) 1/2) x) (+ (* (+ (* (+ (* 1/945 (* x x)) -1/90) (* x x)) 1/6) (* x x)) 1/2) (/ 1/2 (* (/ 1/2 (sinh x)) (cosh x))) (* (/ 1/2 (sinh x)) (cosh x)) (+ (* 1/6 x) (/ 1/2 x)) (/ 1/2 x) (* 1/6 (* x x)) (+ (* 1/945 (* x x)) -1/90) (+ (* (+ (* 1/945 (* x x)) -1/90) (* x x)) 1/6))

3.0ms

-inf

((/ 1/2 (* (/ 1/2 (sinh x)) (cosh x))) (* (/ 1/2 (sinh x)) (cosh x)) (/ (+ (* 1/6 (* x x)) 1/2) x) (* 1/6 x) (/ 1/2 (* (/ 1/2 (sinh x)) (cosh x))) (* (/ 1/2 (sinh x)) (cosh x)) (/ (+ (* 1/6 (* x x)) 1/2) x) (+ (* 1/6 (* x x)) 1/2) (/ 1/2 (* (/ 1/2 (sinh x)) (cosh x))) (* (/ 1/2 (sinh x)) (cosh x)) (/ (+ (* (+ (* (+ (* 1/945 (* x x)) -1/90) (* x x)) 1/6) (* x x)) 1/2) x) (+ (* (+ (* (+ (* 1/945 (* x x)) -1/90) (* x x)) 1/6) (* x x)) 1/2) (/ 1/2 (* (/ 1/2 (sinh x)) (cosh x))) (* (/ 1/2 (sinh x)) (cosh x)) (+ (* 1/6 x) (/ 1/2 x)) (/ 1/2 x) (* 1/6 (* x x)) (+ (* 1/945 (* x x)) -1/90) (+ (* (+ (* 1/945 (* x x)) -1/90) (* x x)) 1/6))

1.0ms

((/ 1/2 (* (/ 1/2 (sinh x)) (cosh x))) (* (/ 1/2 (sinh x)) (cosh x)) (/ (+ (* 1/6 (* x x)) 1/2) x) (* 1/6 x) (/ 1/2 (* (/ 1/2 (sinh x)) (cosh x))) (* (/ 1/2 (sinh x)) (cosh x)) (/ (+ (* 1/6 (* x x)) 1/2) x) (+ (* 1/6 (* x x)) 1/2) (/ 1/2 (* (/ 1/2 (sinh x)) (cosh x))) (* (/ 1/2 (sinh x)) (cosh x)) (/ (+ (* (+ (* (+ (* 1/945 (* x x)) -1/90) (* x x)) 1/6) (* x x)) 1/2) x) (+ (* (+ (* (+ (* 1/945 (* x x)) -1/90) (* x x)) 1/6) (* x x)) 1/2) (/ 1/2 (* (/ 1/2 (sinh x)) (cosh x))) (* (/ 1/2 (sinh x)) (cosh x)) (+ (* 1/6 x) (/ 1/2 x)) (/ 1/2 x) (* 1/6 (* x x)) (+ (* 1/945 (* x x)) -1/90) (+ (* (+ (* 1/945 (* x x)) -1/90) (* x x)) 1/6))

simplify204.0ms (2.2%)

Memory

4.0MiB live, 203.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	98	2270
1	246	2269
2	637	2245
3	1936	2180
4	4348	2180
5	7083	2170
0	8214	2054

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 224

Calls

Call 1

Inputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(/ 1/2 x)
(/ (+ 1/2 (* 1/6 (pow x 2))) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/6 (* -1/90 (pow x 2))))) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/945 (pow x 2)) 1/90))))) x)
(/ 1/2 x)
(/ (+ 1/2 (* 1/6 (pow x 2))) x)
(/ (+ 1/2 (* 1/6 (pow x 2))) x)
(/ (+ 1/2 (* 1/6 (pow x 2))) x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(/ 1/2 x)
(/ (+ 1/2 (* 1/6 (pow x 2))) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/6 (* -1/90 (pow x 2))))) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/945 (pow x 2)) 1/90))))) x)
(/ 1/2 x)
(/ (+ 1/2 (* 1/6 (pow x 2))) x)
(/ (+ 1/2 (* 1/6 (pow x 2))) x)
(/ (+ 1/2 (* 1/6 (pow x 2))) x)
1/2
(+ 1/2 (* 1/6 (pow x 2)))
(+ 1/2 (* 1/6 (pow x 2)))
(+ 1/2 (* 1/6 (pow x 2)))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(/ 1/2 x)
(/ (+ 1/2 (* 1/6 (pow x 2))) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/6 (* -1/90 (pow x 2))))) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/945 (pow x 2)) 1/90))))) x)
(/ 1/2 x)
(/ (+ 1/2 (* 1/6 (pow x 2))) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/6 (* -1/90 (pow x 2))))) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/945 (pow x 2)) 1/90))))) x)
1/2
(+ 1/2 (* 1/6 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/6 (* -1/90 (pow x 2)))))
(+ 1/2 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/945 (pow x 2)) 1/90)))))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(/ 1/2 x)
(/ (+ 1/2 (* 1/6 (pow x 2))) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/6 (* -1/90 (pow x 2))))) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/945 (pow x 2)) 1/90))))) x)
(/ 1/2 x)
(/ (+ 1/2 (* 1/6 (pow x 2))) x)
(/ (+ 1/2 (* 1/6 (pow x 2))) x)
(/ (+ 1/2 (* 1/6 (pow x 2))) x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
-1/90
(- (* 1/945 (pow x 2)) 1/90)
(- (* 1/945 (pow x 2)) 1/90)
(- (* 1/945 (pow x 2)) 1/90)
1/6
(+ 1/6 (* -1/90 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* 1/945 (pow x 2)) 1/90)))
(+ 1/6 (* (pow x 2) (- (* 1/945 (pow x 2)) 1/90)))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/6 x)
(* x (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/6 x)
(* x (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/945 (pow x 5))
(* (pow x 5) (- 1/945 (* 1/90 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/945 (/ 1/6 (pow x 4))) (* 1/90 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/945 (+ (/ 1/6 (pow x 4)) (* 1/2 (/ 1 (pow x 6))))) (* 1/90 (/ 1 (pow x 2)))))
(* 1/945 (pow x 6))
(* (pow x 6) (- 1/945 (* 1/90 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/945 (/ 1/6 (pow x 4))) (* 1/90 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/945 (+ (/ 1/6 (pow x 4)) (* 1/2 (/ 1 (pow x 6))))) (* 1/90 (/ 1 (pow x 2)))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/6 x)
(* x (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/945 (pow x 2))
(* (pow x 2) (- 1/945 (* 1/90 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/945 (* 1/90 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/945 (* 1/90 (/ 1 (pow x 2)))))
(* 1/945 (pow x 4))
(* (pow x 4) (- 1/945 (* 1/90 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/945 (/ 1/6 (pow x 4))) (* 1/90 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/945 (/ 1/6 (pow x 4))) (* 1/90 (/ 1 (pow x 2)))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/6 x)
(* x (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/6 x)
(* x (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/945 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/90 (/ 1 (pow x 2))) 1/945)))
(* -1 (* (pow x 5) (- (* 1/90 (/ 1 (pow x 2))) (+ 1/945 (/ 1/6 (pow x 4))))))
(* -1 (* (pow x 5) (- (+ (* -1 (/ (+ 1/6 (* 1/2 (/ 1 (pow x 2)))) (pow x 4))) (* 1/90 (/ 1 (pow x 2)))) 1/945)))
(* 1/945 (pow x 6))
(* (pow x 6) (- 1/945 (* 1/90 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/945 (/ 1/6 (pow x 4))) (* 1/90 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/945 (+ (/ 1/6 (pow x 4)) (* 1/2 (/ 1 (pow x 6))))) (* 1/90 (/ 1 (pow x 2)))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/6 x)
(* x (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/945 (pow x 2))
(* (pow x 2) (- 1/945 (* 1/90 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/945 (* 1/90 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/945 (* 1/90 (/ 1 (pow x 2)))))
(* 1/945 (pow x 4))
(* (pow x 4) (- 1/945 (* 1/90 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/945 (/ 1/6 (pow x 4))) (* 1/90 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/945 (/ 1/6 (pow x 4))) (* 1/90 (/ 1 (pow x 2)))))

Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 1/6 (pow x 2))) x)
(fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))
(/ (+ 1/2 (* (pow x 2) (+ 1/6 (* -1/90 (pow x 2))))) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/90 binary64) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x)))
(/ (+ 1/2 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/945 (pow x 2)) 1/90))))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 1/6 (pow x 2))) x)
(fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))
(/ (+ 1/2 (* 1/6 (pow x 2))) x)
(fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))
(/ (+ 1/2 (* 1/6 (pow x 2))) x)
(fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 1/6 (pow x 2))) x)
(fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))
(/ (+ 1/2 (* (pow x 2) (+ 1/6 (* -1/90 (pow x 2))))) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/90 binary64) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x)))
(/ (+ 1/2 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/945 (pow x 2)) 1/90))))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 1/6 (pow x 2))) x)
(fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))
(/ (+ 1/2 (* 1/6 (pow x 2))) x)
(fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))
(/ (+ 1/2 (* 1/6 (pow x 2))) x)
(fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 (pow x 2)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (pow x 2)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (pow x 2)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 1/6 (pow x 2))) x)
(fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))
(/ (+ 1/2 (* (pow x 2) (+ 1/6 (* -1/90 (pow x 2))))) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/90 binary64) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x)))
(/ (+ 1/2 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/945 (pow x 2)) 1/90))))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 1/6 (pow x 2))) x)
(fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))
(/ (+ 1/2 (* (pow x 2) (+ 1/6 (* -1/90 (pow x 2))))) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/90 binary64) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x)))
(/ (+ 1/2 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/945 (pow x 2)) 1/90))))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 (pow x 2)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (+ 1/6 (* -1/90 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal -1/90 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/945 (pow x 2)) 1/90)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 1/6 (pow x 2))) x)
(fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))
(/ (+ 1/2 (* (pow x 2) (+ 1/6 (* -1/90 (pow x 2))))) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/90 binary64) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x)))
(/ (+ 1/2 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/945 (pow x 2)) 1/90))))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 1/6 (pow x 2))) x)
(fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))
(/ (+ 1/2 (* 1/6 (pow x 2))) x)
(fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))
(/ (+ 1/2 (* 1/6 (pow x 2))) x)
(fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
-1/90
#s(literal -1/90 binary64)
(- (* 1/945 (pow x 2)) 1/90)
(fma.f64 #s(literal 1/945 binary64) (*.f64 x x) #s(literal -1/90 binary64))
(- (* 1/945 (pow x 2)) 1/90)
(fma.f64 #s(literal 1/945 binary64) (*.f64 x x) #s(literal -1/90 binary64))
(- (* 1/945 (pow x 2)) 1/90)
(fma.f64 #s(literal 1/945 binary64) (*.f64 x x) #s(literal -1/90 binary64))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -1/90 (pow x 2)))
(fma.f64 #s(literal -1/90 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (- (* 1/945 (pow x 2)) 1/90)))
(fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (- (* 1/945 (pow x 2)) 1/90)))
(fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))
(* x (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))
(* x (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))
(* x (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))
(* x (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
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(* (pow x 2) (- 1/945 (* 1/90 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/945 binary64) (*.f64 x x) #s(literal -1/90 binary64))
(* (pow x 2) (- 1/945 (* 1/90 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/945 binary64) (*.f64 x x) #s(literal -1/90 binary64))
(* 1/945 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/945 binary64))
(* (pow x 4) (- 1/945 (* 1/90 (/ 1 (pow x 2)))))
(.f64 (.f64 (fma.f64 #s(literal 1/945 binary64) (*.f64 x x) #s(literal -1/90 binary64)) x) x)
(* (pow x 4) (- (+ 1/945 (/ 1/6 (pow x 4))) (* 1/90 (/ 1 (pow x 2)))))
(fma.f64 (.f64 #s(literal -1/90 binary64) x) x (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/945 binary64)) (pow.f64 x #s(literal 4 binary64))))
(* (pow x 4) (- (+ 1/945 (/ 1/6 (pow x 4))) (* 1/90 (/ 1 (pow x 2)))))
(fma.f64 (.f64 #s(literal -1/90 binary64) x) x (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/945 binary64)) (pow.f64 x #s(literal 4 binary64))))

rewrite148.0ms (1.6%)

Memory

-24.4MiB live, 294.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	303
0	51	303
1	198	303
2	1251	303
0	8228	290

Stop Event

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

Counts

19 → 356

Calls

Call 1

Inputs
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) #s(approx (/ (+ (* 1/6 (* x x)) 1/2) x) (*.f64 #s(literal 1/6 binary64) x))))
#s(approx (* (/ 1/2 (sinh x)) (cosh x)) #s(approx (/ (+ (* 1/6 (* x x)) 1/2) x) (*.f64 #s(literal 1/6 binary64) x)))
#s(approx (/ (+ (* 1/6 (* x x)) 1/2) x) (*.f64 #s(literal 1/6 binary64) x))
(*.f64 #s(literal 1/6 binary64) x)
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x))) x)))
#s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x))) x))
(/.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x))) x)
#s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)))
#s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x))
(/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)
(fma.f64 (fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))))
#s(approx (* (/ 1/2 (sinh x)) (cosh x)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)
(.f64 #s(literal 1/6 binary64) (.f64 x x))
#s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64))
(fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (*.f64 x x) #s(literal 1/6 binary64))

Outputs
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eval87.0ms (1%)

Memory: 24.8MiB live, 231.5MiB allocated
Compiler: Compiled 12 549 to 1 668 computations (86.7% saved)

prune42.0ms (0.5%)

Memory

-18.6MiB live, 60.8MiB allocated

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	578	2	580
Fresh	0	0	0
Picked	0	4	4
Done	0	4	4
Total	578	10	588

Accuracy

100.0%

Counts

588 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.1%	(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (cosh.f64 x)))
✓	96.3%	(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))))
✓	96.3%	(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)))
✓	95.9%	(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)))
✓	3.8%	(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x))) x)))
	95.9%	(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (.f64 (neg.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) x))))
	3.8%	(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (.f64 (neg.f64 #s(approx (+ ( 1/6 (* x x)) 1/2) (.f64 (.f64 x x) #s(literal 1/6 binary64)))) (/.f64 #s(literal -1 binary64) x))))
✓	4.0%	(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) #s(approx (/ (+ (* 1/6 (* x x)) 1/2) x) (*.f64 #s(literal 1/6 binary64) x))))
✓	100.0%	(tanh.f64 x)
✓	96.1%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))

Compiler

Compiled 300 to 165 computations (45% saved)

regimes11.0ms (0.1%)

Memory

-5.1MiB live, 34.1MiB allocated

Counts

16 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 #s(literal -1/3 binary64) x) x) x x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) #s(approx (/ (+ (* 1/6 (* x x)) 1/2) x) (*.f64 #s(literal 1/6 binary64) x))))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x))) x)))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (.f64 (neg.f64 #s(approx (+ ( 1/6 (* x x)) 1/2) (.f64 (.f64 x x) #s(literal 1/6 binary64)))) (/.f64 #s(literal -1 binary64) x))))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/90 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (.f64 (neg.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) x))))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)))
(tanh.f64 x)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (cosh.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Outputs
(tanh.f64 x)

Calls

2 calls:

6.0ms	x
4.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`

Compiler

Compiled 14 to 8 computations (42.9% saved)

regimes8.0ms (0.1%)

Memory

25.4MiB live, 25.4MiB allocated

Counts

12 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 #s(literal -1/3 binary64) x) x) x x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) #s(approx (/ (+ (* 1/6 (* x x)) 1/2) x) (*.f64 #s(literal 1/6 binary64) x))))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x))) x)))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (.f64 (neg.f64 #s(approx (+ ( 1/6 (* x x)) 1/2) (.f64 (.f64 x x) #s(literal 1/6 binary64)))) (/.f64 #s(literal -1 binary64) x))))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/90 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (.f64 (neg.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) x))))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)))

Outputs

(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (*.f64 x x) #s(literal -1/90 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
96.3%	1	`x`
96.3%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`

Compiler

Compiled 14 to 8 computations (42.9% saved)

regimes10.0ms (0.1%)

Memory

-16.8MiB live, 25.7MiB allocated

Counts

11 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 #s(literal -1/3 binary64) x) x) x x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) #s(approx (/ (+ (* 1/6 (* x x)) 1/2) x) (*.f64 #s(literal 1/6 binary64) x))))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x))) x)))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (.f64 (neg.f64 #s(approx (+ ( 1/6 (* x x)) 1/2) (.f64 (.f64 x x) #s(literal 1/6 binary64)))) (/.f64 #s(literal -1 binary64) x))))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/90 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (.f64 (neg.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/945 (* x x)) -1/90) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) x))))

Outputs
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))))

Calls

2 calls:

6.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
4.0ms	x

Results

Accuracy	Segments	Branch
96.3%	1	`x`
96.3%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`

Compiler

Compiled 14 to 8 computations (42.9% saved)

regimes4.0ms (0%)

Memory

11.6MiB live, 11.6MiB allocated

Accuracy

Total -59.2b remaining (-2348.9%)

Threshold costs -59.2b (-2348.9%)

Counts

4 → 1

Calls

Call 1

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

Outputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 #s(literal -1/3 binary64) x) x) x x))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
96.1%	1	`x`
96.1%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`

Compiler

Compiled 14 to 8 computations (42.9% saved)

simplify24.0ms (0.3%)

Memory

1.0MiB live, 79.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	68
1	34	68

Stop Event

1×

saturated

Calls

Call 1

Inputs
(tanh.f64 x)
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 #s(literal -1/3 binary64) x) x) x x))

Outputs
(tanh.f64 x)
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/945 binary64) (.f64 x x) #s(literal -1/90 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1/2 (sinh x)) (cosh x)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) x))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 #s(literal -1/3 binary64) x) x) x x))

soundness792.0ms (8.7%)

Memory

5.1MiB live, 723.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	425
1	259	424
2	604	414
3	1672	414
4	2645	414
5	4176	414
6	4889	414
7	6516	414
0	8145	386
0	123	1072
1	316	1030
2	775	1030
3	2225	1030
4	4060	1030
5	6638	1030
0	8191	979
0	19	55
0	28	37
1	120	36
2	839	34
0	9033	34
0	117	2328
1	294	2261
2	734	2261
3	2229	2234
4	6652	2234
0	8355	2112
0	7	30
0	13	15
1	55	15
2	424	15
3	7080	15
0	8062	15

Stop Event

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

Compiler

Compiled 135 to 78 computations (42.2% saved)

preprocess36.0ms (0.4%)

Memory: -14.2MiB live, 144.1MiB allocated
Remove: (negabs x)
Compiler: Compiled 112 to 62 computations (44.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample4.3s (47.4%)

explain209.0ms (2.3%)

preprocess88.0ms (1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify34.0ms (0.4%)

localize76.0ms (0.8%)

series4.0ms (0%)

simplify146.0ms (1.6%)

rewrite160.0ms (1.8%)

eval95.0ms (1%)

prune11.0ms (0.1%)

simplify93.0ms (1%)

localize229.0ms (2.5%)

series20.0ms (0.2%)

simplify162.0ms (1.8%)

rewrite198.0ms (2.2%)

eval319.0ms (3.5%)

prune131.0ms (1.4%)

simplify155.0ms (1.7%)

localize389.0ms (4.3%)

series36.0ms (0.4%)

simplify157.0ms (1.7%)

rewrite188.0ms (2.1%)

eval157.0ms (1.7%)

prune29.0ms (0.3%)

simplify104.0ms (1.1%)

localize79.0ms (0.9%)

series161.0ms (1.8%)

simplify204.0ms (2.2%)

rewrite148.0ms (1.6%)

eval87.0ms (1%)

prune42.0ms (0.5%)

regimes11.0ms (0.1%)

regimes8.0ms (0.1%)

regimes10.0ms (0.1%)

regimes4.0ms (0%)

simplify24.0ms (0.3%)

soundness792.0ms (8.7%)

preprocess36.0ms (0.4%)

end0.0ms (0%)

Profiling