Metrics for Hyperbolic tangent

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

1.4MiB live, 1.4MiB 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)

sample4.7s (39%)

Memory

41.6MiB live, 6 909.1MiB allocated

Samples

1.9s	2 929×	2	valid
1.0s	4 788×	1	valid
839.0ms	7 617×	0	exit
147.0ms	539×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.4s

ival-exp: 2.3s (67.2% of total)

ival-div: 304.0ms (8.9% of total)

adjust: 303.0ms (8.9% of total)

ival-sub: 287.0ms (8.4% of total)

ival-add: 135.0ms (4% of total)

ival-neg: 67.0ms (2% of total)

ival-true: 13.0ms (0.4% of total)

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

Bogosity

explain198.0ms (1.6%)

Memory

16.8MiB live, 414.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
247	0	-	1	(-0.006719155487263837)	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
5	0	-	0	-	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
0	0	-	0	-	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
0	0	-	0	-	`(exp.f64 x)`
0	2	(449.5771310880575)	0	-	`(exp.f64 (neg.f64 x))`
0	0	-	0	-	`(neg.f64 x)`
0	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	246	1
`/.f64`	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`	o/o	5	0
↳	`(exp.f64 x)`	overflow	5
↳	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`	overflow	5
↳	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`	overflow	5
↳	`(exp.f64 x)`	overflow	5
`exp.f64`	`(exp.f64 (neg.f64 x))`	sensitivity	2	0

Confusion

	Predicted +	Predicted -
+	251	1
-	2	2

Precision

0.9920948616600791

Recall

0.996031746031746

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	251	1	0
-	2	0	2

Precision?

0.9921259842519685

Recall?

1.0

Freqs

test

number	freq
0	3
1	253

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

68.0ms	168×	2	valid
53.0ms	300×	1	valid
3.0ms	44×	0	valid

Compiler

Compiled 84 to 25 computations (70.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 102.0ms

ival-exp: 70.0ms (68.9% of total)

adjust: 10.0ms (9.8% of total)

ival-div: 7.0ms (6.9% of total)

ival-add: 6.0ms (5.9% of total)

ival-sub: 5.0ms (4.9% of total)

ival-neg: 3.0ms (3% of total)

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

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

preprocess99.0ms (0.8%)

Memory

-10.5MiB live, 149.8MiB allocated

Algorithm

1×	egg-herbie

Rules

528×	`lower-fma.f64`
528×	`lower-fma.f32`
336×	`lower-*.f64`
336×	`lower-*.f32`
320×	`div-sub`

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

Symmetry

(negabs x)

Compiler

Compiled 14 to 7 computations (50% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	10.4%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Compiler

Compiled 14 to 7 computations (50% saved)

simplify49.0ms (0.4%)

Memory

-6.4MiB live, 73.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
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	11648	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Rules

528×	`lower-fma.f64`
528×	`lower-fma.f32`
336×	`lower-*.f64`
336×	`lower-*.f32`
224×	`lower-/.f32`

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

localize118.0ms (1%)

Memory

-12.8MiB live, 145.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 x)
accuracy	0.01171875	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
accuracy	1.234388755254126	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
accuracy	56.08175882694351	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Samples

63.0ms	84×	2	valid
27.0ms	150×	1	valid
2.0ms	22×	0	valid

Compiler

Compiled 35 to 9 computations (74.3% saved)

Precisions

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

ival-exp: 64.0ms (79.9% of total)

adjust: 5.0ms (6.2% of total)

ival-div: 4.0ms (5% of total)

ival-add: 3.0ms (3.7% of total)

ival-sub: 3.0ms (3.7% of total)

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

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

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

series4.0ms (0%)

Memory

7.3MiB live, 7.3MiB 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 (/ (- (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 (* -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 (* 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 (- (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))) (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 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 (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 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 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 (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 (* -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 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))) (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))) (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

15 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
1.0ms	x	@	inf	(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
1.0ms	x	@	0	(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
0.0ms	x	@	0	(- (exp x) (exp (neg x)))
0.0ms	x	@	0	(exp x)

simplify306.0ms (2.5%)

Memory

7.5MiB live, 584.6MiB allocated

Algorithm

1×	egg-herbie

Rules

12 890×	`lower-fma.f64`
12 890×	`lower-fma.f32`
4 156×	`lower-*.f64`
4 156×	`lower-*.f32`
2 544×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	425
1	259	424
2	604	414
3	1659	414
4	2630	414
5	4160	414
6	4872	414
7	6500	414
0	8123	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))))
(/ (- (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 (* -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))))
(* 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))))))))
(- (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)))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
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 (* -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 x (.f64 #s(literal -1/3 binary64) (.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x)
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.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 x) (exp.f64 (neg.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 x) (exp.f64 (neg.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 x) (exp.f64 (neg.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 x) (exp.f64 (neg.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 x) (exp.f64 (neg.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 x) (exp.f64 (neg.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 x) (exp.f64 (neg.f64 x))))
(* 2 x)
(+.f64 x x)
(* x (+ 2 (* 1/3 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(- (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 (* -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)))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(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 (* -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))
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 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(fma.f64 x (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x) #s(literal 2 binary64))
(+ (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 (* -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)))

rewrite269.0ms (2.2%)

Memory

0.6MiB live, 515.4MiB allocated

Rules

3 904×	`lower-*.f64`
3 904×	`lower-*.f32`
3 826×	`lower-/.f32`
3 824×	`lower-/.f64`
2 870×	`lower-fma.f64`

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
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (neg.f64 (exp.f64 (neg.f64 x)))))
(+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64))) (neg.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) #s(literal 2 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))))
(+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))))
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (neg.f64 (exp.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))))
(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64))) (tanh.f64 x)) (exp.f64 (+.f64 x x))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64))) (tanh.f64 x)) (expm1.f64 (-.f64 (neg.f64 x) x))))
(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64))) (tanh.f64 x)) (expm1.f64 (-.f64 (neg.f64 x) x))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64))) (tanh.f64 x)) (exp.f64 (+.f64 x x))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) #s(literal 1 binary64)))
(+.f64 (.f64 (exp.f64 (+.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64))) (tanh.f64 x))) (.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64))) (tanh.f64 x))))
(+.f64 (.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64))) (tanh.f64 x))) (.f64 (exp.f64 (+.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64))) (tanh.f64 x))))
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 (tanh.f64 x))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))))
(-.f64 #s(literal 0 binary64) (neg.f64 (tanh.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) #s(literal 2 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (cosh.f64 x) #s(literal -2 binary64))) (neg.f64 (tanh.f64 x)))
(-.f64 (/.f64 (/.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal 1 binary64))) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 (/.f64 (exp.f64 (.f64 x #s(literal -3 binary64))) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal 1 binary64))) (.f64 #s(literal 2 binary64) (cosh.f64 x))))
(-.f64 (/.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal 1 binary64)))) (/.f64 (exp.f64 (.f64 x #s(literal -3 binary64))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal 1 binary64)))))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))) (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (/.f64 (tanh.f64 x) (tanh.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64))))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (/.f64 (tanh.f64 x) (tanh.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64))))))
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eval90.0ms (0.7%)

Memory: 8.8MiB live, 206.4MiB allocated
Compiler: Compiled 17 893 to 1 744 computations (90.3% saved)

prune114.0ms (0.9%)

Memory

-29.3MiB live, 248.4MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	742	5	747
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	743	5	748

Accuracy

100.0%

Counts

748 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.0%	(/.f64 (sinh.f64 x) (cosh.f64 x))
▶	100.0%	(tanh.f64 x)
▶	96.9%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x))
▶	97.1%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x))
▶	96.7%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x)) x))

Compiler

Compiled 108 to 60 computations (44.4% saved)

simplify326.0ms (2.7%)

Memory

0.8MiB live, 523.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(cosh.f64 x)
cost-diff	0	(sinh.f64 x)
cost-diff	7104	(/.f64 (sinh.f64 x) (cosh.f64 x))
cost-diff	0	(.f64 x (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)))
cost-diff	0	(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64))
cost-diff	0	(fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x)
cost-diff	0	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x))
cost-diff	0	(*.f64 x #s(literal 2/15 binary64))
cost-diff	0	(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
cost-diff	0	(fma.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x)
cost-diff	0	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 #s(literal -1/3 binary64) (.f64 x x))
cost-diff	0	(fma.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x)) x)
cost-diff	0	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x)) x))
cost-diff	0	(tanh.f64 x)

Rules

7 228×	`lower-fma.f32`
7 216×	`lower-fma.f64`
4 710×	`lower-*.f32`
4 698×	`lower-*.f64`
1 534×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	203
0	51	155
1	112	153
2	224	153
3	435	153
4	900	153
5	1646	153
6	3461	153
7	5691	153
0	8526	151

Stop Event

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

Calls

Call 1

Inputs
(tanh.f64 x)
x
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x)) x))
(fma.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x)) x)
x
(.f64 #s(literal -1/3 binary64) (.f64 x x))
#s(literal -1/3 binary64)
(*.f64 x x)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x))
(fma.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x)
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
x
(*.f64 x #s(literal 2/15 binary64))
#s(literal 2/15 binary64)
#s(literal -1/3 binary64)
(.f64 x (.f64 x x))
(*.f64 x x)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x))
(fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x)
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64))
x
(.f64 x (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)))
(fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))
(*.f64 x #s(literal -17/315 binary64))
#s(literal -17/315 binary64)
#s(literal 2/15 binary64)
#s(literal -1/3 binary64)
(.f64 x (.f64 x x))
(*.f64 x x)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(sinh.f64 x)
x
(cosh.f64 x)

Outputs
(tanh.f64 x)
x
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x)) x))
(fma.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x)) x)
x
(.f64 #s(literal -1/3 binary64) (.f64 x x))
#s(literal -1/3 binary64)
(*.f64 x x)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 x (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x))
(fma.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x)
(fma.f64 x (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x)
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
x
(*.f64 x #s(literal 2/15 binary64))
#s(literal 2/15 binary64)
#s(literal -1/3 binary64)
(.f64 x (.f64 x x))
(*.f64 x x)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) x))
(fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x)
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) x)
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64))
x
(.f64 x (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)))
(fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))
(*.f64 x #s(literal -17/315 binary64))
#s(literal -17/315 binary64)
#s(literal 2/15 binary64)
#s(literal -1/3 binary64)
(.f64 x (.f64 x x))
(*.f64 x x)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(tanh.f64 x)
(sinh.f64 x)
x
(cosh.f64 x)

localize227.0ms (1.9%)

Memory

13.8MiB live, 447.9MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(cosh.f64 x)
accuracy	0.0078125	(sinh.f64 x)
accuracy	1.234388755254126	(/.f64 (sinh.f64 x) (cosh.f64 x))
accuracy	0.1015625	(.f64 x (.f64 x x))
accuracy	0.11328125	(.f64 x (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)))
accuracy	0.3359375	(*.f64 x #s(literal -17/315 binary64))
accuracy	1.9542758082120537	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x))
accuracy	0.01953125	(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
accuracy	0.1015625	(.f64 x (.f64 x x))
accuracy	0.1015625	(*.f64 x #s(literal 2/15 binary64))
accuracy	1.8857671757142962	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x))
accuracy	0	(*.f64 x x)
accuracy	0.015625	(fma.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x)) x)
accuracy	0.1796875	(.f64 #s(literal -1/3 binary64) (.f64 x x))
accuracy	2.1243590055651387	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x)) x))
accuracy	0.015625	(tanh.f64 x)

Samples

103.0ms	150×	1	valid
71.0ms	84×	2	valid
7.0ms	22×	0	valid

Compiler

Compiled 174 to 34 computations (80.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 152.0ms

ival-mult: 51.0ms (33.5% of total)

ival-exp: 35.0ms (23% of total)

adjust: 18.0ms (11.8% of total)

ival-add: 17.0ms (11.2% of total)

const: 16.0ms (10.5% of total)

ival-div: 5.0ms (3.3% of total)

ival-cosh: 3.0ms (2% of total)

ival-sub: 3.0ms (2% of total)

ival-tanh: 2.0ms (1.3% of total)

ival-neg: 1.0ms (0.7% of total)

ival-sinh: 1.0ms (0.7% of total)

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

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

series37.0ms (0.3%)

Memory

7.1MiB live, 47.1MiB allocated

Counts

18 → 216

Calls

Call 1

Inputs
#s(alt (tanh.f64 x) (patch (tanh.f64 x) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x)) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x)) x)) #<representation binary64>) () ())
#s(alt (fma.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x)) x) (patch (fma.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x)) x) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -1/3 binary64) (.f64 x x)) (patch (.f64 #s(literal -1/3 binary64) (.f64 x x)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x) (patch (fma.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x) #<representation binary64>) () ())
#s(alt (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (patch (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 2/15 binary64)) (patch (.f64 x #s(literal 2/15 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x) (patch (fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x) #<representation binary64>) () ())
#s(alt (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (patch (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) (patch (.f64 x (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (sinh.f64 x) (cosh.f64 x)) (patch (/.f64 (sinh.f64 x) (cosh.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>) () ())
#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal -17/315 binary64)) (patch (.f64 x #s(literal -17/315 binary64)) #<representation binary64>) () ())

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

Calls

54 calls:

Time	Variable		Point	Expression
17.0ms	x	@	inf	(/ (sinh x) (cosh x))
2.0ms	x	@	inf	(tanh x)
2.0ms	x	@	-inf	(* x 2/15)
1.0ms	x	@	-inf	(/ (sinh x) (cosh x))
1.0ms	x	@	-inf	(tanh x)

simplify392.0ms (3.2%)

Memory

7.3MiB live, 651.3MiB allocated

Algorithm

1×	egg-herbie

Rules

11 270×	`lower-fma.f64`
11 270×	`lower-fma.f32`
4 282×	`lower-*.f64`
4 282×	`lower-*.f32`
1 964×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	138	1860
1	382	1794
2	1033	1794
3	3170	1794
4	6186	1794
0	8456	1703

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 207

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))))
(/ (- (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))))
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))))
(/ (- (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 (* -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))))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* -1/3 (pow x 2))))
(* -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))
(* -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)))))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(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))))
(/ (- (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 (* -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))))
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) (- (* 2/15 (pow x 2)) 1/3))))
(* 2/15 (pow x 5))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
-1/3
(- (* 2/15 (pow x 2)) 1/3)
(- (* 2/15 (pow x 2)) 1/3)
(- (* 2/15 (pow x 2)) 1/3)
(* 2/15 (pow x 2))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 2))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 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))))
(/ (- (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 (* -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))))
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))))
(* -17/315 (pow x 7))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* -17/315 (pow x 7))
(* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
-1/3
(- (* 2/15 (pow x 2)) 1/3)
(- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)
(- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)
(* -17/315 (pow x 4))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* -17/315 (pow x 4))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* 2/15 x)
(* x (+ 2/15 (* -17/315 (pow x 2))))
(* x (+ 2/15 (* -17/315 (pow x 2))))
(* x (+ 2/15 (* -17/315 (pow x 2))))
(* -17/315 (pow x 3))
(* (pow x 3) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 3) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 3) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* -17/315 (pow x 3))
(* -1 (* (pow x 3) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 17/315 (* 2/15 (/ 1 (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))))
(/ (- (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))))
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))))))))
(* 1/2 (- (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))))
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)))))))
(* 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))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* -17/315 x)
(* -17/315 x)
(* -17/315 x)
(* -17/315 x)
(* -17/315 x)
(* -17/315 x)
(* -17/315 x)
(* -17/315 x)
(* -17/315 x)
(* -17/315 x)
(* -17/315 x)
(* -17/315 x)

Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64))) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x)
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.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 x) (exp.f64 (neg.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 x) (exp.f64 (neg.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 x) (exp.f64 (neg.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 x) (exp.f64 (neg.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 x) (exp.f64 (neg.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 x) (exp.f64 (neg.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 x) (exp.f64 (neg.f64 x))))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64))) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x)
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.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 x) (exp.f64 (neg.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 x) (exp.f64 (neg.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 x) (exp.f64 (neg.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 x) (exp.f64 (neg.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 x) (exp.f64 (neg.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 x) (exp.f64 (neg.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 x) (exp.f64 (neg.f64 x))))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64))) x)
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64))) x)
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64))) x)
(* -1/3 (pow x 3))
(.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64))) x)
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64))) x)
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64))) x)
(* -1/3 (pow x 3))
(.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64))) x)
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64))) x)
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64))) x)
(* -1/3 (pow x 2))
(.f64 x (.f64 x #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(.f64 x (.f64 x #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(.f64 x (.f64 x #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(.f64 x (.f64 x #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(.f64 x (.f64 x #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(.f64 x (.f64 x #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(.f64 x (.f64 x #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(.f64 x (.f64 x #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(.f64 x (.f64 x #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(.f64 x (.f64 x #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(.f64 x (.f64 x #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(.f64 x (.f64 x #s(literal -1/3 binary64)))
(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 2)
(*.f64 x 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 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64))) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x)
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.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 x) (exp.f64 (neg.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 x) (exp.f64 (neg.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 x) (exp.f64 (neg.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 x) (exp.f64 (neg.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 x) (exp.f64 (neg.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 x) (exp.f64 (neg.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 x) (exp.f64 (neg.f64 x))))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64))) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x)
(* 2/15 (pow x 5))
(.f64 #s(literal 2/15 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* 2/15 (pow x 5))
(.f64 #s(literal 2/15 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))))
-1/3
#s(literal -1/3 binary64)
(- (* 2/15 (pow x 2)) 1/3)
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(- (* 2/15 (pow x 2)) 1/3)
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(- (* 2/15 (pow x 2)) 1/3)
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(* 2/15 (pow x 2))
(.f64 (.f64 x x) #s(literal 2/15 binary64))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(* 2/15 (pow x 2))
(.f64 (.f64 x x) #s(literal 2/15 binary64))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64))) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x)
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.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 x) (exp.f64 (neg.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 x) (exp.f64 (neg.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 x) (exp.f64 (neg.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 x) (exp.f64 (neg.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 x) (exp.f64 (neg.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 x) (exp.f64 (neg.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 x) (exp.f64 (neg.f64 x))))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64))) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x)
(* -17/315 (pow x 7))
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (.f64 x x))))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 2/15 binary64) (.f64 x x)) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -17/315 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (/.f64 #s(literal 2/15 binary64) (.f64 x x)) (/.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x (.f64 x x))))))))
(* -17/315 (pow x 7))
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (.f64 x x))))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 2/15 binary64) (.f64 x x)) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -17/315 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (/.f64 #s(literal 2/15 binary64) (.f64 x x)) (/.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x (.f64 x x))))))))
-1/3
#s(literal -1/3 binary64)
(- (* 2/15 (pow x 2)) 1/3)
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64))
(- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64))
(* -17/315 (pow x 4))
(.f64 #s(literal -17/315 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(fma.f64 (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) #s(literal 2/15 binary64)))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(fma.f64 (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) #s(literal 2/15 binary64)))
(* -17/315 (pow x 4))
(.f64 #s(literal -17/315 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(fma.f64 (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) #s(literal 2/15 binary64)))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(fma.f64 (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) #s(literal 2/15 binary64)))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* x (+ 2/15 (* -17/315 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)))
(* x (+ 2/15 (* -17/315 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)))
(* x (+ 2/15 (* -17/315 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)))
(* -17/315 (pow x 3))
(.f64 #s(literal -17/315 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(.f64 x (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)))
(* (pow x 3) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(.f64 x (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)))
(* (pow x 3) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(.f64 x (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)))
(* -17/315 (pow x 3))
(.f64 #s(literal -17/315 binary64) (.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))
(.f64 x (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)))
(* -1 (* (pow x 3) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))
(.f64 x (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)))
(* -1 (* (pow x 3) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))
(.f64 x (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64))) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x)
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.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 x) (exp.f64 (neg.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 x) (exp.f64 (neg.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 x) (exp.f64 (neg.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 x) (exp.f64 (neg.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 x) (exp.f64 (neg.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 x) (exp.f64 (neg.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 x) (exp.f64 (neg.f64 x))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/6 binary64))) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) 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 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
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 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 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 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))

rewrite389.0ms (3.2%)

Memory

-2.2MiB live, 748.3MiB allocated

Rules

4 942×	`lower-fma.f32`
4 930×	`lower-fma.f64`
4 626×	`lower-/.f32`
4 624×	`lower-/.f64`
3 992×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	175
0	51	129
1	213	127
2	1541	127
0	8654	125

Stop Event

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

Counts

18 → 641

Calls

Call 1

Inputs
(tanh.f64 x)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x)) x))
(fma.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x)) x)
(.f64 #s(literal -1/3 binary64) (.f64 x x))
(*.f64 x x)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x))
(fma.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x)
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(*.f64 x #s(literal 2/15 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x))
(fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x)
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64))
(.f64 x (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(sinh.f64 x)
(cosh.f64 x)
(.f64 x (.f64 x x))
(*.f64 x #s(literal -17/315 binary64))

Outputs
(+.f64 (/.f64 (exp.f64 x) (.f64 (cosh.f64 x) #s(literal 2 binary64))) (neg.f64 (/.f64 (exp.f64 (neg.f64 x)) (.f64 (cosh.f64 x) #s(literal 2 binary64)))))
(+.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64))))) (neg.f64 (/.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 x))) #s(literal -1 binary64)))
(-.f64 (/.f64 (exp.f64 x) (.f64 (cosh.f64 x) #s(literal 2 binary64))) (/.f64 (exp.f64 (neg.f64 x)) (.f64 (cosh.f64 x) #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (sinh.f64 x) (neg.f64 (cosh.f64 x))))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1 binary64) (tanh.f64 x)))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64))))) (/.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))
(-.f64 (/.f64 (/.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64)))))) (.f64 (cosh.f64 x) #s(literal 2 binary64))) (/.f64 (/.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64)))))) (.f64 (cosh.f64 x) #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 x x)) (.f64 (cosh.f64 x) #s(literal 2 binary64))) (.f64 (cosh.f64 x) #s(literal 2 binary64))) (/.f64 (/.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) (.f64 (cosh.f64 x) #s(literal 2 binary64))) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
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(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (.f64 x #s(literal -2 binary64)))) (.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (.f64 x #s(literal -2 binary64))))) (neg.f64 (.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))))) (neg.f64 (.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (.f64 x #s(literal -2 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal -1 binary64))
(.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 (cosh.f64 x) #s(literal 1 binary64))
(.f64 (cosh.f64 x) (/.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 (sinh.f64 x) #s(literal 2 binary64))))
(.f64 #s(literal 2 binary64) (.f64 (cosh.f64 x) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (cosh.f64 x))
(.f64 (.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal -1/2 binary64))
(.f64 (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (*.f64 x #s(literal -2 binary64)))))))
(*.f64 #s(literal -1 binary64) (neg.f64 (cosh.f64 x)))
(.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 x) #s(literal 2 binary64)))))
(.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)) (/.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (.f64 x #s(literal -2 binary64))))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(.f64 x (.f64 x x))
(.f64 (.f64 x x) x)
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 x #s(literal -17/315 binary64))
(*.f64 #s(literal -17/315 binary64) x)

eval115.0ms (1%)

Memory: 18.2MiB live, 297.1MiB allocated
Compiler: Compiled 24 100 to 1 505 computations (93.8% saved)

prune173.0ms (1.4%)

Memory

-27.8MiB live, 325.4MiB allocated

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	894	10	904
Fresh	0	0	0
Picked	3	2	5
Done	0	0	0
Total	897	12	909

Accuracy

100.0%

Counts

909 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.1%	(/.f64 #s(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)) (cosh.f64 x))
✓	100.0%	(tanh.f64 x)
▶	97.1%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x))
✓	96.9%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x))
	97.1%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 4/225 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/9 binary64)) (.f64 (.f64 x x) #s(literal -2/45 binary64))))) (.f64 x (*.f64 x x)) x))
	97.1%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x) x x))
▶	96.7%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/3 binary64) x))
▶	96.3%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 #s(approx (+ (* x (* x 2/15)) -1/3) (.f64 (.f64 x x) #s(literal 2/15 binary64))) (.f64 x (.f64 x x)) x))
	96.7%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 x (.f64 (.f64 x #s(literal -1/3 binary64)) x) x))
	2.0%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* (+ (* x (* x 2/15)) -1/3) (* x (* x x))) x) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))))))
	6.0%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* (+ (* x (* x 2/15)) -1/3) (* x (* x x))) x) (.f64 #s(literal 2/15 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))))
▶	4.8%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* x (* -1/3 (* x x))) x) (.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))))

Compiler

Compiled 371 to 179 computations (51.8% saved)

simplify429.0ms (3.6%)

Memory

41.6MiB live, 709.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
cost-diff	0	(fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x)
cost-diff	0	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x))
cost-diff	0	(.f64 (.f64 x x) #s(literal 2/15 binary64))
cost-diff	0	#s(approx (+ (* x (* x 2/15)) -1/3) (.f64 (.f64 x x) #s(literal 2/15 binary64)))
cost-diff	0	(fma.f64 #s(approx (+ (* x (* x 2/15)) -1/3) (.f64 (.f64 x x) #s(literal 2/15 binary64))) (.f64 x (.f64 x x)) x)
cost-diff	0	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 #s(approx (+ (* x (* x 2/15)) -1/3) (.f64 (.f64 x x) #s(literal 2/15 binary64))) (.f64 x (.f64 x x)) x))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 x (.f64 x x))
cost-diff	0	(fma.f64 (.f64 x (.f64 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 x (.f64 x x)) #s(literal -1/3 binary64) x))
cost-diff	0	(.f64 x (.f64 x x))
cost-diff	0	(.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))
cost-diff	0	#s(approx (+ (* x (* -1/3 (* x x))) x) (.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x))))
cost-diff	0	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* x (* -1/3 (* x x))) x) (.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))))
cost-diff	0	(.f64 x (.f64 x x))
cost-diff	0	(fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)
cost-diff	0	#s(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x))
cost-diff	0	(/.f64 #s(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)) (cosh.f64 x))

Rules

13 120×	`lower-fma.f32`
13 106×	`lower-fma.f64`
3 730×	`lower-*.f32`
3 720×	`lower-*.f64`
2 168×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	341
0	61	298
1	127	298
2	288	298
3	621	298
4	1179	298
5	1440	298
6	2236	298
7	3065	298
8	4485	298
9	5785	298
10	6408	298
11	6822	298
12	7553	298
0	8024	298

Stop Event

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

Calls

Call 1

Inputs
(/.f64 #s(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)) (cosh.f64 x))
#s(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x))
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)
(.f64 x (.f64 x x))
x
(*.f64 x x)
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))
(*.f64 x #s(literal 1/5040 binary64))
#s(literal 1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
(cosh.f64 x)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* x (* -1/3 (* x x))) x) (.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))))
#s(approx (+ (* x (* -1/3 (* x x))) x) (.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x))))
(.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))
#s(literal -1/3 binary64)
(.f64 x (.f64 x x))
x
(*.f64 x x)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/3 binary64) x))
(fma.f64 (.f64 x (.f64 x x)) #s(literal -1/3 binary64) x)
(.f64 x (.f64 x x))
x
(*.f64 x x)
#s(literal -1/3 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 #s(approx (+ (* x (* x 2/15)) -1/3) (.f64 (.f64 x x) #s(literal 2/15 binary64))) (.f64 x (.f64 x x)) x))
(fma.f64 #s(approx (+ (* x (* x 2/15)) -1/3) (.f64 (.f64 x x) #s(literal 2/15 binary64))) (.f64 x (.f64 x x)) x)
#s(approx (+ (* x (* x 2/15)) -1/3) (.f64 (.f64 x x) #s(literal 2/15 binary64)))
(.f64 (.f64 x x) #s(literal 2/15 binary64))
(*.f64 x x)
x
#s(literal 2/15 binary64)
(.f64 x (.f64 x x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
(*.f64 x x)
x
#s(literal 2/15 binary64)
#s(literal -1/3 binary64)
(.f64 x (.f64 x x))

Outputs
(/.f64 #s(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)) (cosh.f64 x))
(/.f64 #s(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)) (cosh.f64 x))
#s(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x))
#s(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x))
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)
(.f64 x (.f64 x x))
x
(*.f64 x x)
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(*.f64 x #s(literal 1/5040 binary64))
#s(literal 1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
(cosh.f64 x)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* x (* -1/3 (* x x))) x) (.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* x (* -1/3 (* x x))) x) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/3 binary64))))
#s(approx (+ (* x (* -1/3 (* x x))) x) (.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x))))
#s(approx (+ (* x (* -1/3 (* x x))) x) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/3 binary64)))
(.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))
(.f64 (.f64 x (*.f64 x x)) #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
(.f64 x (.f64 x x))
x
(*.f64 x x)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/3 binary64) x))
(fma.f64 (.f64 x (.f64 x x)) #s(literal -1/3 binary64) x)
(.f64 x (.f64 x x))
x
(*.f64 x x)
#s(literal -1/3 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 #s(approx (+ (* x (* x 2/15)) -1/3) (.f64 (.f64 x x) #s(literal 2/15 binary64))) (.f64 x (.f64 x x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 x (.f64 x x)) #s(approx (+ (* x (* x 2/15)) -1/3) (.f64 x (.f64 x #s(literal 2/15 binary64)))) x))
(fma.f64 #s(approx (+ (* x (* x 2/15)) -1/3) (.f64 (.f64 x x) #s(literal 2/15 binary64))) (.f64 x (.f64 x x)) x)
(fma.f64 (.f64 x (.f64 x x)) #s(approx (+ (* x (* x 2/15)) -1/3) (.f64 x (.f64 x #s(literal 2/15 binary64)))) x)
#s(approx (+ (* x (* x 2/15)) -1/3) (.f64 (.f64 x x) #s(literal 2/15 binary64)))
#s(approx (+ (* x (* x 2/15)) -1/3) (.f64 x (.f64 x #s(literal 2/15 binary64))))
(.f64 (.f64 x x) #s(literal 2/15 binary64))
(.f64 x (.f64 x #s(literal 2/15 binary64)))
(*.f64 x x)
x
#s(literal 2/15 binary64)
(.f64 x (.f64 x x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x)
(fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x)
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(*.f64 x x)
x
#s(literal 2/15 binary64)
#s(literal -1/3 binary64)
(.f64 x (.f64 x x))

localize285.0ms (2.4%)

Memory

-8.6MiB live, 683.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x)
accuracy	0.03125	(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
accuracy	0.1015625	(.f64 x (.f64 x x))
accuracy	1.8857671757142962	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x))
accuracy	0.1015625	(.f64 x (.f64 x x))
accuracy	0.125	(.f64 (.f64 x x) #s(literal 2/15 binary64))
accuracy	1.8857671757142962	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 #s(approx (+ (* x (* x 2/15)) -1/3) (.f64 (.f64 x x) #s(literal 2/15 binary64))) (.f64 x (.f64 x x)) x))
accuracy	61.15335319814079	#s(approx (+ (* x (* x 2/15)) -1/3) (.f64 (.f64 x x) #s(literal 2/15 binary64)))
accuracy	0	(*.f64 x x)
accuracy	0.01171875	(fma.f64 (.f64 x (.f64 x x)) #s(literal -1/3 binary64) x)
accuracy	0.1015625	(.f64 x (.f64 x x))
accuracy	2.1243590055651387	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/3 binary64) x))
accuracy	0.1015625	(.f64 x (.f64 x x))
accuracy	0.15234375	(.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))
accuracy	2.1243590055651387	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* x (* -1/3 (* x x))) x) (.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))))
accuracy	59.77094022664342	#s(approx (+ (* x (* -1/3 (* x x))) x) (.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x))))
accuracy	0.0234375	(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
accuracy	0.1015625	(.f64 x (.f64 x x))
accuracy	1.234388755254126	(/.f64 #s(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)) (cosh.f64 x))
accuracy	1.824175800132469	#s(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x))

Samples

121.0ms	150×	1	valid
89.0ms	84×	2	valid
9.0ms	22×	0	valid

Compiler

Compiled 234 to 41 computations (82.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 179.0ms

ival-mult: 60.0ms (33.6% of total)

ival-exp: 35.0ms (19.6% of total)

adjust: 25.0ms (14% of total)

const: 24.0ms (13.4% of total)

ival-add: 22.0ms (12.3% of total)

ival-div: 5.0ms (2.8% of total)

ival-cosh: 3.0ms (1.7% of total)

ival-sub: 3.0ms (1.7% of total)

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

ival-neg: 1.0ms (0.6% of total)

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

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

series14.0ms (0.1%)

Memory

-10.6MiB live, 27.2MiB allocated

Counts

18 → 216

Calls

Call 1

Inputs
#s(alt (/.f64 #s(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)) (cosh.f64 x)) (patch (/.f64 #s(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)) (cosh.f64 x)) #<representation binary64>) () ())
#s(alt #s(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)) (patch #s(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x) (patch (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x) #<representation binary64>) () ())
#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* x (* -1/3 (* x x))) x) (.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x))))) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ ( x (* -1/3 (* x x))) x) (.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (* -1/3 (* x x))) x) (.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)))) (patch #s(approx (+ ( x (* -1/3 (* x x))) x) (.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x))) (patch (.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/3 binary64) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/3 binary64) x)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/3 binary64) x) (patch (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/3 binary64) x) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 #s(approx (+ (* x (* x 2/15)) -1/3) (.f64 (.f64 x x) #s(literal 2/15 binary64))) (.f64 x (.f64 x x)) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 #s(approx (+ (* x (* x 2/15)) -1/3) (.f64 (.f64 x x) #s(literal 2/15 binary64))) (.f64 x (.f64 x x)) x)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (+ (* x (* x 2/15)) -1/3) (.f64 (.f64 x x) #s(literal 2/15 binary64))) (.f64 x (.f64 x x)) x) (patch (fma.f64 #s(approx (+ (* x (* x 2/15)) -1/3) (.f64 (.f64 x x) #s(literal 2/15 binary64))) (.f64 x (.f64 x x)) x) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (* x 2/15)) -1/3) (.f64 (.f64 x x) #s(literal 2/15 binary64))) (patch #s(approx (+ (* x (* x 2/15)) -1/3) (.f64 (.f64 x x) #s(literal 2/15 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x x) #s(literal 2/15 binary64)) (patch (.f64 (.f64 x x) #s(literal 2/15 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x) (patch (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #<representation binary64>) () ())

Outputs
#s(alt x (taylor 0 x) (#s(alt (/.f64 #s(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)) (cosh.f64 x)) (patch (/.f64 #s(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)) (cosh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/3 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 #s(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)) (cosh.f64 x)) (patch (/.f64 #s(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) 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(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)) (cosh.f64 x)) (patch (/.f64 #s(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) 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(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)) (cosh.f64 x)) (patch (/.f64 #s(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) 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(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)) (cosh.f64 x)) (patch (/.f64 #s(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) 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(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)) (cosh.f64 x)) (patch (/.f64 #s(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) 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(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)) (cosh.f64 x)) (patch (/.f64 #s(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) 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(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)) (cosh.f64 x)) (patch (/.f64 #s(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) 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(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)) (cosh.f64 x)) (patch (/.f64 #s(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) 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(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)) (cosh.f64 x)) (patch (/.f64 #s(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) 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(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)) (cosh.f64 x)) (patch (/.f64 #s(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) 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(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)) (cosh.f64 x)) (patch (/.f64 #s(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)) (cosh.f64 x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt #s(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)) (patch #s(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/6 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)) (patch #s(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) (taylor 0 x) (#s(alt #s(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)) (patch #s(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) 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 #s(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)) (patch #s(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt #s(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)) (patch #s(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt #s(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)) (patch #s(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt #s(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)) (patch #s(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt #s(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)) (patch #s(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt #s(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)) (patch #s(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt #s(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)) (patch #s(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt #s(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)) (patch #s(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt #s(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)) (patch #s(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x) (patch (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2/15 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt 1/6 (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/6 (* 1/120 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/5040 (pow x 4)) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/5040 (pow x 4)) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())

Calls

54 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(+ (* (* x (* x x)) (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6)) x)
0.0ms	x	@	inf	(+ (* (* x (* x x)) (+ (* (* x x) (+ (* x (* x 1/5040)) 1/120)) 1/6)) x)
0.0ms	x	@	-inf	(* -1/3 (* x (* x x)))
0.0ms	x	@	inf	(* -1/3 (* x (* x x)))
0.0ms	x	@	inf	(* (* x x) 2/15)

simplify526.0ms (4.4%)

Memory

-8.5MiB live, 595.4MiB allocated

Algorithm

1×	egg-herbie

Rules

11 142×	`lower-fma.f64`
11 142×	`lower-fma.f32`
4 038×	`lower-*.f64`
4 038×	`lower-*.f32`
1 864×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	1944
1	342	1853
2	904	1851
3	2634	1850
4	6027	1850
0	8332	1747

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 205

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))))
(/ (- (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))))
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))))))))
(* 1/2 (- (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))))
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))))))))
(* 1/5040 (pow x 7))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/5040 (pow x 7))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(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))))
(/ (- (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 (* -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))))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* -1/3 (pow x 2))))
(* -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))
(* -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)))))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (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))))
(/ (- (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 (* -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))))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* -1/3 (pow x 2))))
(* -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))
(* -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 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(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))))
(/ (- (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 (* -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))))
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) (- (* 2/15 (pow x 2)) 1/3))))
(* 2/15 (pow x 5))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
-1/3
(- (* 2/15 (pow x 2)) 1/3)
(- (* 2/15 (pow x 2)) 1/3)
(- (* 2/15 (pow x 2)) 1/3)
(* 2/15 (pow x 2))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 2))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (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))))
(/ (- (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 (* -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))))
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) (- (* 2/15 (pow x 2)) 1/3))))
(* 2/15 (pow x 5))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
-1/3
(- (* 2/15 (pow x 2)) 1/3)
(- (* 2/15 (pow x 2)) 1/3)
(- (* 2/15 (pow x 2)) 1/3)
(* 2/15 (pow x 2))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 2))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
1/6
(+ 1/6 (* 1/120 (pow x 2)))
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))
(* 1/5040 (pow x 4))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* 1/5040 (pow x 4))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))

Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64))) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 x (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #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 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x)
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.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 x) (exp.f64 (neg.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 x) (exp.f64 (neg.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 x) (exp.f64 (neg.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 x) (exp.f64 (neg.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 x) (exp.f64 (neg.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 x) (exp.f64 (neg.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 x) (exp.f64 (neg.f64 x))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)) x)
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
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(fma.f64 x (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #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 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x)
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.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 x) (exp.f64 (neg.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 x) (exp.f64 (neg.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 x) (exp.f64 (neg.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 x) (exp.f64 (neg.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 x) (exp.f64 (neg.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 x) (exp.f64 (neg.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 x) (exp.f64 (neg.f64 x))))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64))) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 x (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 x (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) x)
(* 2/15 (pow x 5))
(.f64 #s(literal 2/15 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* 2/15 (pow x 5))
(.f64 #s(literal 2/15 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))))
-1/3
#s(literal -1/3 binary64)
(- (* 2/15 (pow x 2)) 1/3)
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
(- (* 2/15 (pow x 2)) 1/3)
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
(- (* 2/15 (pow x 2)) 1/3)
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
(* 2/15 (pow x 2))
(.f64 (.f64 x x) #s(literal 2/15 binary64))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
(* 2/15 (pow x 2))
(.f64 (.f64 x x) #s(literal 2/15 binary64))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/120 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))
(* 1/5040 (pow x 4))
(.f64 x (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))
(* 1/5040 (pow x 4))
(.f64 x (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))

rewrite332.0ms (2.7%)

Memory

15.3MiB live, 721.0MiB allocated

Rules

5 304×	`lower-fma.f32`
5 290×	`lower-fma.f64`
4 650×	`lower-/.f32`
4 648×	`lower-/.f64`
4 628×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	285
0	61	206
1	269	206
2	1852	206
0	8558	206

Stop Event

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

Counts

18 → 310

Calls

Call 1

Inputs
(/.f64 #s(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)) (cosh.f64 x))
#s(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x))
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)
(.f64 x (.f64 x x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* x (* -1/3 (* x x))) x) (.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))))
#s(approx (+ (* x (* -1/3 (* x x))) x) (.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x))))
(.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/3 binary64) x))
(fma.f64 (.f64 x (.f64 x x)) #s(literal -1/3 binary64) x)
(*.f64 x x)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 #s(approx (+ (* x (* x 2/15)) -1/3) (.f64 (.f64 x x) #s(literal 2/15 binary64))) (.f64 x (.f64 x x)) x))
(fma.f64 #s(approx (+ (* x (* x 2/15)) -1/3) (.f64 (.f64 x x) #s(literal 2/15 binary64))) (.f64 x (.f64 x x)) x)
#s(approx (+ (* x (* x 2/15)) -1/3) (.f64 (.f64 x x) #s(literal 2/15 binary64)))
(.f64 (.f64 x x) #s(literal 2/15 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 (cosh.f64 x) #s(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cosh.f64 x))) (/.f64 #s(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)) (neg.f64 (cosh.f64 x))))
(neg.f64 (/.f64 #s(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)) (neg.f64 (cosh.f64 x))))
(neg.f64 (/.f64 (neg.f64 #s(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x))) (cosh.f64 x)))
(/.f64 #s(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)) (cosh.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 x) #s(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (cosh.f64 x) #s(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 x) (.f64 #s(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)) #s(literal 1 binary64))))
(/.f64 (neg.f64 #s(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x))) (neg.f64 (cosh.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cosh.f64 x) #s(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)))))
(/.f64 (neg.f64 (neg.f64 #s(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)))) (neg.f64 (neg.f64 (cosh.f64 x))))
(/.f64 (.f64 #s(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)) #s(literal 1 binary64)) (cosh.f64 x))
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x))))) (neg.f64 (neg.f64 (neg.f64 (cosh.f64 x)))))
(/.f64 (neg.f64 (.f64 #s(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)) #s(literal 1 binary64))) (neg.f64 (cosh.f64 x)))
(pow.f64 (/.f64 (cosh.f64 x) #s(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x))) #s(literal -1 binary64))
(.f64 #s(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
(.f64 #s(literal 1 binary64) (/.f64 #s(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)) (cosh.f64 x)))
(.f64 (neg.f64 #s(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (cosh.f64 x))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (cosh.f64 x) #s(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x))))))
(.f64 (neg.f64 (neg.f64 #s(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)))) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
(.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)))
(.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x))) #s(literal -1 binary64)))
(.f64 (.f64 #s(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
(.f64 (/.f64 #s(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)) (.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))
(.f64 (/.f64 #s(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (cosh.f64 x) #s(literal 1/2 binary64))))
#s(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x))
(+.f64 x (.f64 x (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))
(+.f64 (.f64 x (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x)
(+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/6 binary64)) x))
(+.f64 (+.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) (.f64 x (.f64 (*.f64 x x) #s(literal 1/6 binary64))))
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(.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))))

eval124.0ms (1%)

Memory: 10.8MiB live, 256.9MiB allocated
Compiler: Compiled 19 778 to 1 141 computations (94.2% saved)

prune120.0ms (1%)

Memory

4.6MiB live, 285.7MiB allocated

Pruning

15 alts after pruning (8 fresh and 7 done)

	Pruned	Kept	Total
New	714	7	721
Fresh	4	1	5
Picked	0	5	5
Done	0	2	2
Total	718	15	733

Accuracy

100.0%

Counts

733 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	97.1%	(/.f64 #s(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)) (cosh.f64 x))
✓	100.0%	(tanh.f64 x)
✓	97.1%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x))
✓	96.9%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x))
▶	97.1%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 8/3375 binary64) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4/225 binary64) #s(literal 1/9 binary64)) (.f64 (.f64 x x) #s(literal -2/45 binary64))))) (.f64 x (*.f64 x x)) x))
▶	97.1%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x) x x))
▶	96.3%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x #s(approx (+ (* x (* x 2/15)) -1/3) (.f64 x (.f64 x #s(literal 2/15 binary64))))) x) x x))
✓	96.7%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/3 binary64) x))
▶	96.7%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 x (.f64 x #s(literal -1/3 binary64))) x x))
✓	96.3%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 #s(approx (+ (* x (* x 2/15)) -1/3) (.f64 (.f64 x x) #s(literal 2/15 binary64))) (.f64 x (.f64 x x)) x))
	2.0%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* (+ (* (* x x) 2/15) -1/3) (* x (* x x))) x) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))))))
	6.0%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* (+ (* (* x x) 2/15) -1/3) (* x (* x x))) x) (.f64 #s(literal 2/15 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))))
	4.8%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* x (* -1/3 (* x x))) x) (.f64 (.f64 x (*.f64 x #s(literal -1/3 binary64))) x)))
▶	4.8%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* x (* -1/3 (* x x))) x) (.f64 (.f64 x x) (*.f64 x #s(literal -1/3 binary64)))))
✓	4.8%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* x (* -1/3 (* x x))) x) (.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))))

Compiler

Compiled 368 to 178 computations (51.6% saved)

simplify306.0ms (2.5%)

Memory

-11.8MiB live, 518.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 8/3375 binary64) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4/225 binary64) #s(literal 1/9 binary64)) (.f64 (.f64 x x) #s(literal -2/45 binary64))))) (.f64 x (*.f64 x x)) x)
cost-diff	0	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 8/3375 binary64) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4/225 binary64) #s(literal 1/9 binary64)) (.f64 (.f64 x x) #s(literal -2/45 binary64))))) (.f64 x (*.f64 x x)) x))
cost-diff	320	(.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 8/3375 binary64) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4/225 binary64) #s(literal 1/9 binary64)) (.f64 (*.f64 x x) #s(literal -2/45 binary64)))))
cost-diff	768	(-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4/225 binary64) #s(literal 1/9 binary64)) (.f64 (*.f64 x x) #s(literal -2/45 binary64)))
cost-diff	0	(.f64 x #s(approx (+ ( x (* x 2/15)) -1/3) (.f64 x (.f64 x #s(literal 2/15 binary64)))))
cost-diff	0	(.f64 (.f64 x #s(approx (+ (* x (* x 2/15)) -1/3) (.f64 x (.f64 x #s(literal 2/15 binary64))))) x)
cost-diff	0	(fma.f64 (.f64 (.f64 x #s(approx (+ (* x (* x 2/15)) -1/3) (.f64 x (.f64 x #s(literal 2/15 binary64))))) x) x x)
cost-diff	0	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x #s(approx (+ (* x (* x 2/15)) -1/3) (.f64 x (.f64 x #s(literal 2/15 binary64))))) x) x x))
cost-diff	0	(*.f64 x #s(literal -1/3 binary64))
cost-diff	0	(.f64 x (.f64 x #s(literal -1/3 binary64)))
cost-diff	0	(fma.f64 (.f64 x (.f64 x #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 x (.f64 x #s(literal -1/3 binary64))) x x))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) (*.f64 x #s(literal -1/3 binary64)))
cost-diff	0	#s(approx (+ (* x (* -1/3 (* x x))) x) (.f64 (.f64 x x) (*.f64 x #s(literal -1/3 binary64))))
cost-diff	0	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* x (* -1/3 (* x x))) x) (.f64 (.f64 x x) (*.f64 x #s(literal -1/3 binary64)))))
cost-diff	0	(.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))
cost-diff	0	(.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x)
cost-diff	0	(fma.f64 (.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x) x x)
cost-diff	0	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x) x x))

Rules

8 888×	`lower-fma.f32`
8 874×	`lower-fma.f64`
6 370×	`lower-*.f32`
6 340×	`lower-*.f64`
1 564×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	500
0	83	448
1	172	404
2	339	404
3	730	404
4	1742	404
5	2463	404
6	4858	404
0	8091	391

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 (.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x) x x))
(fma.f64 (.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x) x x)
(.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x)
(.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))
x
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(*.f64 x #s(literal 2/15 binary64))
#s(literal 2/15 binary64)
#s(literal -1/3 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* x (* -1/3 (* x x))) x) (.f64 (.f64 x x) (*.f64 x #s(literal -1/3 binary64)))))
#s(approx (+ (* x (* -1/3 (* x x))) x) (.f64 (.f64 x x) (*.f64 x #s(literal -1/3 binary64))))
(.f64 (.f64 x x) (*.f64 x #s(literal -1/3 binary64)))
(*.f64 x x)
x
(*.f64 x #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 x (.f64 x #s(literal -1/3 binary64))) x x))
(fma.f64 (.f64 x (.f64 x #s(literal -1/3 binary64))) x x)
(.f64 x (.f64 x #s(literal -1/3 binary64)))
x
(*.f64 x #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x #s(approx (+ (* x (* x 2/15)) -1/3) (.f64 x (.f64 x #s(literal 2/15 binary64))))) x) x x))
(fma.f64 (.f64 (.f64 x #s(approx (+ (* x (* x 2/15)) -1/3) (.f64 x (.f64 x #s(literal 2/15 binary64))))) x) x x)
(.f64 (.f64 x #s(approx (+ (* x (* x 2/15)) -1/3) (.f64 x (.f64 x #s(literal 2/15 binary64))))) x)
(.f64 x #s(approx (+ ( x (* x 2/15)) -1/3) (.f64 x (.f64 x #s(literal 2/15 binary64)))))
x
#s(approx (+ (* x (* x 2/15)) -1/3) (.f64 x (.f64 x #s(literal 2/15 binary64))))
(.f64 x (.f64 x #s(literal 2/15 binary64)))
(*.f64 x #s(literal 2/15 binary64))
#s(literal 2/15 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 8/3375 binary64) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4/225 binary64) #s(literal 1/9 binary64)) (.f64 (.f64 x x) #s(literal -2/45 binary64))))) (.f64 x (*.f64 x x)) x))
(fma.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 8/3375 binary64) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4/225 binary64) #s(literal 1/9 binary64)) (.f64 (.f64 x x) #s(literal -2/45 binary64))))) (.f64 x (*.f64 x x)) x)
(.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 8/3375 binary64) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4/225 binary64) #s(literal 1/9 binary64)) (.f64 (*.f64 x x) #s(literal -2/45 binary64)))))
(fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))) #s(literal 8/3375 binary64) #s(literal -1/27 binary64))
(.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))
(.f64 x (.f64 x x))
x
(*.f64 x x)
#s(literal 8/3375 binary64)
#s(literal -1/27 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4/225 binary64) #s(literal 1/9 binary64)) (.f64 (*.f64 x x) #s(literal -2/45 binary64))))
#s(literal 1 binary64)
(-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4/225 binary64) #s(literal 1/9 binary64)) (.f64 (*.f64 x x) #s(literal -2/45 binary64)))
(fma.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 4/225 binary64) #s(literal 1/9 binary64))
(.f64 (.f64 x x) (*.f64 x x))
#s(literal 4/225 binary64)
#s(literal 1/9 binary64)
(.f64 (.f64 x x) #s(literal -2/45 binary64))
#s(literal -2/45 binary64)

Outputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x) x x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x x)) x))
(fma.f64 (.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x) x x)
(fma.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x x)) x)
(.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x)
(.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x x))
(.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))
x
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(*.f64 x #s(literal 2/15 binary64))
#s(literal 2/15 binary64)
#s(literal -1/3 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* x (* -1/3 (* x x))) x) (.f64 (.f64 x x) (*.f64 x #s(literal -1/3 binary64)))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* x (* -1/3 (* x x))) x) (.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))))
#s(approx (+ (* x (* -1/3 (* x x))) x) (.f64 (.f64 x x) (*.f64 x #s(literal -1/3 binary64))))
#s(approx (+ (* x (* -1/3 (* x x))) x) (.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x))))
(.f64 (.f64 x x) (*.f64 x #s(literal -1/3 binary64)))
(.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))
(*.f64 x x)
x
(*.f64 x #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 x (.f64 x #s(literal -1/3 binary64))) x x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x))
(fma.f64 (.f64 x (.f64 x #s(literal -1/3 binary64))) x x)
(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
(.f64 x (.f64 x #s(literal -1/3 binary64)))
(.f64 #s(literal -1/3 binary64) (.f64 x x))
x
(*.f64 x #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x #s(approx (+ (* x (* x 2/15)) -1/3) (.f64 x (.f64 x #s(literal 2/15 binary64))))) x) x x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 #s(approx (+ (* x (* x 2/15)) -1/3) (.f64 x (.f64 x #s(literal 2/15 binary64)))) (.f64 x (.f64 x x)) x))
(fma.f64 (.f64 (.f64 x #s(approx (+ (* x (* x 2/15)) -1/3) (.f64 x (.f64 x #s(literal 2/15 binary64))))) x) x x)
(fma.f64 #s(approx (+ (* x (* x 2/15)) -1/3) (.f64 x (.f64 x #s(literal 2/15 binary64)))) (.f64 x (.f64 x x)) x)
(.f64 (.f64 x #s(approx (+ (* x (* x 2/15)) -1/3) (.f64 x (.f64 x #s(literal 2/15 binary64))))) x)
(.f64 (.f64 x x) #s(approx (+ (* x (* x 2/15)) -1/3) (.f64 x (.f64 x #s(literal 2/15 binary64)))))
(.f64 x #s(approx (+ ( x (* x 2/15)) -1/3) (.f64 x (.f64 x #s(literal 2/15 binary64)))))
x
#s(approx (+ (* x (* x 2/15)) -1/3) (.f64 x (.f64 x #s(literal 2/15 binary64))))
(.f64 x (.f64 x #s(literal 2/15 binary64)))
(*.f64 x #s(literal 2/15 binary64))
#s(literal 2/15 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 8/3375 binary64) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4/225 binary64) #s(literal 1/9 binary64)) (.f64 (.f64 x x) #s(literal -2/45 binary64))))) (.f64 x (*.f64 x x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 x x) (/.f64 (.f64 x (fma.f64 x (.f64 x (.f64 #s(literal 8/3375 binary64) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1/27 binary64))) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 4/225 binary64)) #s(literal 2/45 binary64)) #s(literal 1/9 binary64))) x))
(fma.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 8/3375 binary64) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4/225 binary64) #s(literal 1/9 binary64)) (.f64 (.f64 x x) #s(literal -2/45 binary64))))) (.f64 x (*.f64 x x)) x)
(fma.f64 (.f64 x x) (/.f64 (.f64 x (fma.f64 x (.f64 x (.f64 #s(literal 8/3375 binary64) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1/27 binary64))) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 4/225 binary64)) #s(literal 2/45 binary64)) #s(literal 1/9 binary64))) x)
(.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 8/3375 binary64) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4/225 binary64) #s(literal 1/9 binary64)) (.f64 (*.f64 x x) #s(literal -2/45 binary64)))))
(/.f64 (fma.f64 x (.f64 x (.f64 #s(literal 8/3375 binary64) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1/27 binary64)) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 4/225 binary64)) #s(literal 2/45 binary64)) #s(literal 1/9 binary64)))
(fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))) #s(literal 8/3375 binary64) #s(literal -1/27 binary64))
(fma.f64 x (.f64 x (.f64 #s(literal 8/3375 binary64) (.f64 x (.f64 x (*.f64 x x))))) #s(literal -1/27 binary64))
(.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))
(.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(.f64 x (.f64 x x))
x
(*.f64 x x)
#s(literal 8/3375 binary64)
#s(literal -1/27 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4/225 binary64) #s(literal 1/9 binary64)) (.f64 (*.f64 x x) #s(literal -2/45 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 4/225 binary64)) #s(literal 2/45 binary64)) #s(literal 1/9 binary64)))
#s(literal 1 binary64)
(-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4/225 binary64) #s(literal 1/9 binary64)) (.f64 (*.f64 x x) #s(literal -2/45 binary64)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 4/225 binary64)) #s(literal 2/45 binary64)) #s(literal 1/9 binary64))
(fma.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 4/225 binary64) #s(literal 1/9 binary64))
(fma.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 4/225 binary64)) #s(literal 1/9 binary64))
(.f64 (.f64 x x) (*.f64 x x))
(.f64 x (.f64 x (*.f64 x x)))
#s(literal 4/225 binary64)
#s(literal 1/9 binary64)
(.f64 (.f64 x x) #s(literal -2/45 binary64))
#s(literal -2/45 binary64)

localize335.0ms (2.8%)

Memory

-22.0MiB live, 651.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.1015625	(.f64 x (.f64 x x))
accuracy	0.1328125	(.f64 (.f64 x x) (*.f64 x x))
accuracy	0.171875	(.f64 (.f64 x x) #s(literal -2/45 binary64))
accuracy	1.8857671757142962	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 8/3375 binary64) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4/225 binary64) #s(literal 1/9 binary64)) (.f64 (.f64 x x) #s(literal -2/45 binary64))))) (.f64 x (*.f64 x x)) x))
accuracy	0.16015625	(.f64 (.f64 x #s(approx (+ (* x (* x 2/15)) -1/3) (.f64 x (.f64 x #s(literal 2/15 binary64))))) x)
accuracy	0.33984375	(.f64 x #s(approx (+ ( x (* x 2/15)) -1/3) (.f64 x (.f64 x #s(literal 2/15 binary64)))))
accuracy	1.8857671757142962	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x #s(approx (+ (* x (* x 2/15)) -1/3) (.f64 x (.f64 x #s(literal 2/15 binary64))))) x) x x))
accuracy	61.15335319814079	#s(approx (+ (* x (* x 2/15)) -1/3) (.f64 x (.f64 x #s(literal 2/15 binary64))))
accuracy	0.015625	(fma.f64 (.f64 x (.f64 x #s(literal -1/3 binary64))) x x)
accuracy	0.14453125	(.f64 x (.f64 x #s(literal -1/3 binary64)))
accuracy	0.3203125	(*.f64 x #s(literal -1/3 binary64))
accuracy	2.1243590055651387	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 x (.f64 x #s(literal -1/3 binary64))) x x))
accuracy	0.13671875	(.f64 (.f64 x x) (*.f64 x #s(literal -1/3 binary64)))
accuracy	0.3203125	(*.f64 x #s(literal -1/3 binary64))
accuracy	2.1243590055651387	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* x (* -1/3 (* x x))) x) (.f64 (.f64 x x) (*.f64 x #s(literal -1/3 binary64)))))
accuracy	59.77094022664342	#s(approx (+ (* x (* -1/3 (* x x))) x) (.f64 (.f64 x x) (*.f64 x #s(literal -1/3 binary64))))
accuracy	0.1015625	(*.f64 x #s(literal 2/15 binary64))
accuracy	0.16015625	(.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x)
accuracy	0.33984375	(.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))
accuracy	1.8857671757142962	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x) x x))

Samples

147.0ms	150×	1	valid
113.0ms	84×	2	valid
10.0ms	22×	0	valid

Compiler

Compiled 388 to 46 computations (88.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 195.0ms

ival-mult: 70.0ms (35.9% of total)

ival-exp: 39.0ms (20% of total)

const: 30.0ms (15.4% of total)

adjust: 22.0ms (11.3% of total)

ival-add: 19.0ms (9.8% of total)

ival-div: 8.0ms (4.1% of total)

ival-sub: 5.0ms (2.6% 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)

series23.0ms (0.2%)

Memory

18.9MiB live, 55.8MiB allocated

Counts

25 → 300

Calls

Call 1

Inputs
#s(alt #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x) x x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x) x x)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x) x x) (patch (fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x) x x) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x) (patch (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x) #<representation binary64>) () ())
#s(alt (.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (patch (.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* x (* -1/3 (* x x))) x) (.f64 (.f64 x x) (.f64 x #s(literal -1/3 binary64))))) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ ( x (* -1/3 (* x x))) x) (.f64 (.f64 x x) (*.f64 x #s(literal -1/3 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (* -1/3 (* x x))) x) (.f64 (.f64 x x) (.f64 x #s(literal -1/3 binary64)))) (patch #s(approx (+ ( x (* -1/3 (* x x))) x) (.f64 (.f64 x x) (*.f64 x #s(literal -1/3 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x x) (.f64 x #s(literal -1/3 binary64))) (patch (.f64 (.f64 x x) (.f64 x #s(literal -1/3 binary64))) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 x (.f64 x #s(literal -1/3 binary64))) x x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 x (.f64 x #s(literal -1/3 binary64))) x x)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x (.f64 x #s(literal -1/3 binary64))) x x) (patch (fma.f64 (.f64 x (.f64 x #s(literal -1/3 binary64))) x x) #<representation binary64>) () ())
#s(alt (.f64 x (.f64 x #s(literal -1/3 binary64))) (patch (.f64 x (.f64 x #s(literal -1/3 binary64))) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal -1/3 binary64)) (patch (.f64 x #s(literal -1/3 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x #s(approx (+ (* x (* x 2/15)) -1/3) (.f64 x (.f64 x #s(literal 2/15 binary64))))) x) x x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x #s(approx (+ (* x (* x 2/15)) -1/3) (.f64 x (.f64 x #s(literal 2/15 binary64))))) x) x x)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (.f64 x #s(approx (+ (* x (* x 2/15)) -1/3) (.f64 x (.f64 x #s(literal 2/15 binary64))))) x) x x) (patch (fma.f64 (.f64 (.f64 x #s(approx (+ (* x (* x 2/15)) -1/3) (.f64 x (.f64 x #s(literal 2/15 binary64))))) x) x x) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x #s(approx (+ (* x (* x 2/15)) -1/3) (.f64 x (.f64 x #s(literal 2/15 binary64))))) x) (patch (.f64 (.f64 x #s(approx (+ (* x (* x 2/15)) -1/3) (.f64 x (.f64 x #s(literal 2/15 binary64))))) x) #<representation binary64>) () ())
#s(alt (.f64 x #s(approx (+ ( x (* x 2/15)) -1/3) (.f64 x (.f64 x #s(literal 2/15 binary64))))) (patch (.f64 x #s(approx (+ ( x (* x 2/15)) -1/3) (.f64 x (.f64 x #s(literal 2/15 binary64))))) #<representation binary64>) () ())
#s(alt (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4/225 binary64) #s(literal 1/9 binary64)) (.f64 (.f64 x x) #s(literal -2/45 binary64))) (patch (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4/225 binary64) #s(literal 1/9 binary64)) (.f64 (.f64 x x) #s(literal -2/45 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 8/3375 binary64) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4/225 binary64) #s(literal 1/9 binary64)) (.f64 (.f64 x x) #s(literal -2/45 binary64))))) (patch (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 8/3375 binary64) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4/225 binary64) #s(literal 1/9 binary64)) (.f64 (.f64 x x) #s(literal -2/45 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 8/3375 binary64) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4/225 binary64) #s(literal 1/9 binary64)) (.f64 (.f64 x x) #s(literal -2/45 binary64))))) (.f64 x (.f64 x x)) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 8/3375 binary64) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4/225 binary64) #s(literal 1/9 binary64)) (.f64 (.f64 x x) #s(literal -2/45 binary64))))) (.f64 x (.f64 x x)) x)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 8/3375 binary64) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4/225 binary64) #s(literal 1/9 binary64)) (.f64 (.f64 x x) #s(literal -2/45 binary64))))) (.f64 x (.f64 x x)) x) (patch (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 8/3375 binary64) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4/225 binary64) #s(literal 1/9 binary64)) (.f64 (.f64 x x) #s(literal -2/45 binary64))))) (.f64 x (.f64 x x)) x) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 2/15 binary64)) (patch (.f64 x #s(literal 2/15 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (* x 2/15)) -1/3) (.f64 x (.f64 x #s(literal 2/15 binary64)))) (patch #s(approx (+ (* x (* x 2/15)) -1/3) (.f64 x (.f64 x #s(literal 2/15 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x x) #s(literal -2/45 binary64)) (patch (.f64 (.f64 x x) #s(literal -2/45 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x x) (.f64 x x)) (patch (.f64 (.f64 x x) (.f64 x x)) #<representation binary64>) () ())
#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x 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 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x) x x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) 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 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x) x x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) 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 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x) x x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) 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 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x) x x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x) x 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 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x) x x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x) x 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 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x) x x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x) x 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 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x) x x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x) x 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 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x) x x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x) x x)) #<representation binary64>) () ())) ())
#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 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x) x x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x) x x)) #<representation binary64>) () ())) ())
#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 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x) x x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x) x x)) #<representation binary64>) () ())) ())
#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 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x) x x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x) x x)) #<representation binary64>) () ())) ())
#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 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x) x x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x) x x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x) x x) (patch (fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x) x x) #<representation binary64>) () ())) ())
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#s(alt (* 2/15 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 2/15 binary64)) (patch (.f64 x #s(literal 2/15 binary64)) #<representation binary64>) () ())) ())
#s(alt -1/3 (taylor 0 x) (#s(alt #s(approx (+ (* x (* x 2/15)) -1/3) (.f64 x (.f64 x #s(literal 2/15 binary64)))) (patch #s(approx (+ (* x (* x 2/15)) -1/3) (.f64 x (.f64 x #s(literal 2/15 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* 2/15 (pow x 2)) 1/3) (taylor 0 x) (#s(alt #s(approx (+ (* x (* x 2/15)) -1/3) (.f64 x (.f64 x #s(literal 2/15 binary64)))) (patch #s(approx (+ (* x (* x 2/15)) -1/3) (.f64 x (.f64 x #s(literal 2/15 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* 2/15 (pow x 2)) 1/3) (taylor 0 x) (#s(alt #s(approx (+ (* x (* x 2/15)) -1/3) (.f64 x (.f64 x #s(literal 2/15 binary64)))) (patch #s(approx (+ (* x (* x 2/15)) -1/3) (.f64 x (.f64 x #s(literal 2/15 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* 2/15 (pow x 2)) 1/3) (taylor 0 x) (#s(alt #s(approx (+ (* x (* x 2/15)) -1/3) (.f64 x (.f64 x #s(literal 2/15 binary64)))) (patch #s(approx (+ (* x (* x 2/15)) -1/3) (.f64 x (.f64 x #s(literal 2/15 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 2/15 (pow x 2)) (taylor inf x) (#s(alt #s(approx (+ (* x (* x 2/15)) -1/3) (.f64 x (.f64 x #s(literal 2/15 binary64)))) (patch #s(approx (+ (* x (* x 2/15)) -1/3) (.f64 x (.f64 x #s(literal 2/15 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt #s(approx (+ (* x (* x 2/15)) -1/3) (.f64 x (.f64 x #s(literal 2/15 binary64)))) (patch #s(approx (+ (* x (* x 2/15)) -1/3) (.f64 x (.f64 x #s(literal 2/15 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt #s(approx (+ (* x (* x 2/15)) -1/3) (.f64 x (.f64 x #s(literal 2/15 binary64)))) (patch #s(approx (+ (* x (* x 2/15)) -1/3) (.f64 x (.f64 x #s(literal 2/15 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt #s(approx (+ (* x (* x 2/15)) -1/3) (.f64 x (.f64 x #s(literal 2/15 binary64)))) (patch #s(approx (+ (* x (* x 2/15)) -1/3) (.f64 x (.f64 x #s(literal 2/15 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 2/15 (pow x 2)) (taylor -inf x) (#s(alt #s(approx (+ (* x (* x 2/15)) -1/3) (.f64 x (.f64 x #s(literal 2/15 binary64)))) (patch #s(approx (+ (* x (* x 2/15)) -1/3) (.f64 x (.f64 x #s(literal 2/15 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (* x (* x 2/15)) -1/3) (.f64 x (.f64 x #s(literal 2/15 binary64)))) (patch #s(approx (+ (* x (* x 2/15)) -1/3) (.f64 x (.f64 x #s(literal 2/15 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (* x (* x 2/15)) -1/3) (.f64 x (.f64 x #s(literal 2/15 binary64)))) (patch #s(approx (+ (* x (* x 2/15)) -1/3) (.f64 x (.f64 x #s(literal 2/15 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (* x (* x 2/15)) -1/3) (.f64 x (.f64 x #s(literal 2/15 binary64)))) (patch #s(approx (+ (* x (* x 2/15)) -1/3) (.f64 x (.f64 x #s(literal 2/15 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -2/45 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x x) #s(literal -2/45 binary64)) (patch (.f64 (.f64 x x) #s(literal -2/45 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2/45 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x x) #s(literal -2/45 binary64)) (patch (.f64 (.f64 x x) #s(literal -2/45 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2/45 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x x) #s(literal -2/45 binary64)) (patch (.f64 (.f64 x x) #s(literal -2/45 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2/45 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x x) #s(literal -2/45 binary64)) (patch (.f64 (.f64 x x) #s(literal -2/45 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2/45 (pow x 2)) (taylor inf x) (#s(alt (.f64 (.f64 x x) #s(literal -2/45 binary64)) (patch (.f64 (.f64 x x) #s(literal -2/45 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2/45 (pow x 2)) (taylor inf x) (#s(alt (.f64 (.f64 x x) #s(literal -2/45 binary64)) (patch (.f64 (.f64 x x) #s(literal -2/45 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2/45 (pow x 2)) (taylor inf x) (#s(alt (.f64 (.f64 x x) #s(literal -2/45 binary64)) (patch (.f64 (.f64 x x) #s(literal -2/45 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2/45 (pow x 2)) (taylor inf x) (#s(alt (.f64 (.f64 x x) #s(literal -2/45 binary64)) (patch (.f64 (.f64 x x) #s(literal -2/45 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2/45 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x x) #s(literal -2/45 binary64)) (patch (.f64 (.f64 x x) #s(literal -2/45 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2/45 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x x) #s(literal -2/45 binary64)) (patch (.f64 (.f64 x x) #s(literal -2/45 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2/45 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x x) #s(literal -2/45 binary64)) (patch (.f64 (.f64 x x) #s(literal -2/45 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2/45 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x x) #s(literal -2/45 binary64)) (patch (.f64 (.f64 x x) #s(literal -2/45 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor 0 x) (#s(alt (.f64 (.f64 x x) (.f64 x x)) (patch (.f64 (.f64 x x) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor 0 x) (#s(alt (.f64 (.f64 x x) (.f64 x x)) (patch (.f64 (.f64 x x) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor 0 x) (#s(alt (.f64 (.f64 x x) (.f64 x x)) (patch (.f64 (.f64 x x) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor 0 x) (#s(alt (.f64 (.f64 x x) (.f64 x x)) (patch (.f64 (.f64 x x) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor inf x) (#s(alt (.f64 (.f64 x x) (.f64 x x)) (patch (.f64 (.f64 x x) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor inf x) (#s(alt (.f64 (.f64 x x) (.f64 x x)) (patch (.f64 (.f64 x x) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor inf x) (#s(alt (.f64 (.f64 x x) (.f64 x x)) (patch (.f64 (.f64 x x) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor inf x) (#s(alt (.f64 (.f64 x x) (.f64 x x)) (patch (.f64 (.f64 x x) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor -inf x) (#s(alt (.f64 (.f64 x x) (.f64 x x)) (patch (.f64 (.f64 x x) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor -inf x) (#s(alt (.f64 (.f64 x x) (.f64 x x)) (patch (.f64 (.f64 x x) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor -inf x) (#s(alt (.f64 (.f64 x x) (.f64 x x)) (patch (.f64 (.f64 x x) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor -inf x) (#s(alt (.f64 (.f64 x x) (.f64 x x)) (patch (.f64 (.f64 x x) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())

Calls

75 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(* x -1/3)
1.0ms	x	@	inf	(* (+ (* (* (* x (* x x)) (* x (* x x))) 8/3375) -1/27) (/ 1 (- (+ (* (* (* x x) (* x x)) 4/225) 1/9) (* (* x x) -2/45))))
1.0ms	x	@	inf	(+ (* (* (+ (* (* (* x (* x x)) (* x (* x x))) 8/3375) -1/27) (/ 1 (- (+ (* (* (* x x) (* x x)) 4/225) 1/9) (* (* x x) -2/45)))) (* x (* x x))) x)
0.0ms	x	@	0	(* (+ (* (* (* x (* x x)) (* x (* x x))) 8/3375) -1/27) (/ 1 (- (+ (* (* (* x x) (* x x)) 4/225) 1/9) (* (* x x) -2/45))))
0.0ms	x	@	inf	(* (* x x) -2/45)

simplify234.0ms (1.9%)

Memory

-2.6MiB live, 479.7MiB allocated

Algorithm

1×	egg-herbie

Rules

9 254×	`lower-fma.f64`
9 254×	`lower-fma.f32`
2 640×	`lower-*.f64`
2 640×	`lower-*.f32`
1 884×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	91	2396
1	235	2312
2	579	2312
3	1690	2312
4	4286	2312
5	7323	2312
0	8201	2180

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 290

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))))
(/ (- (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 (* -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))))
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) (- (* 2/15 (pow x 2)) 1/3))))
(* 2/15 (pow x 5))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(* -1/3 (pow x 2))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(* 2/15 (pow x 4))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 4))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* -1/3 x)
(* x (- (* 2/15 (pow x 2)) 1/3))
(* x (- (* 2/15 (pow x 2)) 1/3))
(* x (- (* 2/15 (pow x 2)) 1/3))
(* 2/15 (pow x 3))
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
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))))
(/ (- (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 (* -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))))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* -1/3 (pow x 2))))
(* -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))
(* -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)))))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(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))))
(/ (- (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 (* -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))))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* -1/3 (pow x 2))))
(* -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))
(* -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)))))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -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 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 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))))
(/ (- (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 (* -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))))
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) (- (* 2/15 (pow x 2)) 1/3))))
(* 2/15 (pow x 5))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(* -1/3 (pow x 2))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(* 2/15 (pow x 4))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 4))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* -1/3 x)
(* x (- (* 2/15 (pow x 2)) 1/3))
(* x (- (* 2/15 (pow x 2)) 1/3))
(* x (- (* 2/15 (pow x 2)) 1/3))
(* 2/15 (pow x 3))
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
1/9
(+ 1/9 (* 2/45 (pow x 2)))
(+ 1/9 (* (pow x 2) (+ 2/45 (* 4/225 (pow x 2)))))
(+ 1/9 (* (pow x 2) (+ 2/45 (* 4/225 (pow x 2)))))
(* 4/225 (pow x 4))
(* (pow x 4) (+ 4/225 (* 2/45 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 4/225 (+ (/ 1/9 (pow x 4)) (* 2/45 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 4/225 (+ (/ 1/9 (pow x 4)) (* 2/45 (/ 1 (pow x 2))))))
(* 4/225 (pow x 4))
(* (pow x 4) (+ 4/225 (* 2/45 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 4/225 (+ (/ 1/9 (pow x 4)) (* 2/45 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 4/225 (+ (/ 1/9 (pow x 4)) (* 2/45 (/ 1 (pow x 2))))))
-1/3
(- (* 2/15 (pow x 2)) 1/3)
(- (* 2/15 (pow x 2)) 1/3)
(- (* 2/15 (pow x 2)) 1/3)
(* 2/15 (pow x 2))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 2))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (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))))
(/ (- (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 (* -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))))
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) (- (* 2/15 (pow x 2)) 1/3))))
(* 2/15 (pow x 5))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
-1/3
(- (* 2/15 (pow x 2)) 1/3)
(- (* 2/15 (pow x 2)) 1/3)
(- (* 2/15 (pow x 2)) 1/3)
(* 2/15 (pow x 2))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 2))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* -2/45 (pow x 2))
(* -2/45 (pow x 2))
(* -2/45 (pow x 2))
(* -2/45 (pow x 2))
(* -2/45 (pow x 2))
(* -2/45 (pow x 2))
(* -2/45 (pow x 2))
(* -2/45 (pow x 2))
(* -2/45 (pow x 2))
(* -2/45 (pow x 2))
(* -2/45 (pow x 2))
(* -2/45 (pow x 2))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)

Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64))) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #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 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x)
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.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 x) (exp.f64 (neg.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 x) (exp.f64 (neg.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 x) (exp.f64 (neg.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 x) (exp.f64 (neg.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 x) (exp.f64 (neg.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 x) (exp.f64 (neg.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 x) (exp.f64 (neg.f64 x))))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64))) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) x)
(* 2/15 (pow x 5))
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* 2/15 (pow x 5))
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* -1/3 (pow x 2))
(.f64 x (.f64 x #s(literal -1/3 binary64)))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))))
(* 2/15 (pow x 4))
(.f64 x (.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))))
(* 2/15 (pow x 4))
(.f64 x (.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* x (- (* 2/15 (pow x 2)) 1/3))
(.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))
(* x (- (* 2/15 (pow x 2)) 1/3))
(.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))
(* x (- (* 2/15 (pow x 2)) 1/3))
(.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))
(* 2/15 (pow x 3))
(.f64 #s(literal 2/15 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))
(* 2/15 (pow x 3))
(.f64 #s(literal 2/15 binary64) (.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64))) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #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 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x)
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.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 x) (exp.f64 (neg.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 x) (exp.f64 (neg.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 x) (exp.f64 (neg.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 x) (exp.f64 (neg.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 x) (exp.f64 (neg.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 x) (exp.f64 (neg.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 x) (exp.f64 (neg.f64 x))))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64))) x)
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64))) x)
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64))) x)
(* -1/3 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64))))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64))) x)
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64))) x)
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64))) x)
(* -1/3 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64))) x)
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64))) x)
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64))) x)
(* -1/3 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64))))
(* -1/3 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64))))
(* -1/3 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64))))
(* -1/3 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64))))
(* -1/3 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64))))
(* -1/3 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64))))
(* -1/3 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64))))
(* -1/3 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64))))
(* -1/3 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64))))
(* -1/3 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64))))
(* -1/3 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64))))
(* -1/3 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64))))
(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 2)
(*.f64 x 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 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64))) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #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 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x)
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.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 x) (exp.f64 (neg.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 x) (exp.f64 (neg.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 x) (exp.f64 (neg.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 x) (exp.f64 (neg.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 x) (exp.f64 (neg.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 x) (exp.f64 (neg.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 x) (exp.f64 (neg.f64 x))))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64))) x)
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64))) x)
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64))) x)
(* -1/3 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64))))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64))) x)
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64))) x)
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64))) x)
(* -1/3 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64))) x)
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
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(* -2/45 (pow x 2))
(.f64 x (.f64 x #s(literal -2/45 binary64)))
(* -2/45 (pow x 2))
(.f64 x (.f64 x #s(literal -2/45 binary64)))
(* -2/45 (pow x 2))
(.f64 x (.f64 x #s(literal -2/45 binary64)))
(* -2/45 (pow x 2))
(.f64 x (.f64 x #s(literal -2/45 binary64)))
(* -2/45 (pow x 2))
(.f64 x (.f64 x #s(literal -2/45 binary64)))
(* -2/45 (pow x 2))
(.f64 x (.f64 x #s(literal -2/45 binary64)))
(* -2/45 (pow x 2))
(.f64 x (.f64 x #s(literal -2/45 binary64)))
(* -2/45 (pow x 2))
(.f64 x (.f64 x #s(literal -2/45 binary64)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))

rewrite358.0ms (3%)

Memory

-2.3MiB live, 787.9MiB allocated

Rules

6 248×	`lower-fma.f32`
6 234×	`lower-fma.f64`
4 360×	`lower-*.f32`
4 330×	`lower-*.f64`
3 646×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	411
0	83	257
1	315	243
2	2190	243
0	8357	236

Stop Event

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

Counts

25 → 433

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x) x x))
(fma.f64 (.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x) x x)
(.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x)
(.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* x (* -1/3 (* x x))) x) (.f64 (.f64 x x) (*.f64 x #s(literal -1/3 binary64)))))
#s(approx (+ (* x (* -1/3 (* x x))) x) (.f64 (.f64 x x) (*.f64 x #s(literal -1/3 binary64))))
(.f64 (.f64 x x) (*.f64 x #s(literal -1/3 binary64)))
(*.f64 x x)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 x (.f64 x #s(literal -1/3 binary64))) x x))
(fma.f64 (.f64 x (.f64 x #s(literal -1/3 binary64))) x x)
(.f64 x (.f64 x #s(literal -1/3 binary64)))
(*.f64 x #s(literal -1/3 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x #s(approx (+ (* x (* x 2/15)) -1/3) (.f64 x (.f64 x #s(literal 2/15 binary64))))) x) x x))
(fma.f64 (.f64 (.f64 x #s(approx (+ (* x (* x 2/15)) -1/3) (.f64 x (.f64 x #s(literal 2/15 binary64))))) x) x x)
(.f64 (.f64 x #s(approx (+ (* x (* x 2/15)) -1/3) (.f64 x (.f64 x #s(literal 2/15 binary64))))) x)
(.f64 x #s(approx (+ ( x (* x 2/15)) -1/3) (.f64 x (.f64 x #s(literal 2/15 binary64)))))
(-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4/225 binary64) #s(literal 1/9 binary64)) (.f64 (*.f64 x x) #s(literal -2/45 binary64)))
(.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 8/3375 binary64) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4/225 binary64) #s(literal 1/9 binary64)) (.f64 (*.f64 x x) #s(literal -2/45 binary64)))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 8/3375 binary64) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4/225 binary64) #s(literal 1/9 binary64)) (.f64 (.f64 x x) #s(literal -2/45 binary64))))) (.f64 x (*.f64 x x)) x))
(fma.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 8/3375 binary64) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4/225 binary64) #s(literal 1/9 binary64)) (.f64 (.f64 x x) #s(literal -2/45 binary64))))) (.f64 x (*.f64 x x)) x)
(*.f64 x #s(literal 2/15 binary64))
#s(approx (+ (* x (* x 2/15)) -1/3) (.f64 x (.f64 x #s(literal 2/15 binary64))))
(.f64 (.f64 x x) #s(literal -2/45 binary64))
(.f64 (.f64 x x) (*.f64 x x))
(.f64 x (.f64 x x))

Outputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) x))
(+.f64 x (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))))
(+.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x)
(-.f64 (/.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))))) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (neg.f64 x))))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))))) (/.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))))) (-.f64 x (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))))))
(fma.f64 x (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))) x)
(fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (*.f64 x x) x)
(fma.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))) x x)
(fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x)
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) x)
(fma.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) (/.f64 (.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) #s(literal 2/45 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64)))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 2/45 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64)))) (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) (.f64 x (.f64 x x))) x)
(fma.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x)
(fma.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (/.f64 (.f64 x (*.f64 x x)) #s(literal 1 binary64)) x)
(fma.f64 (/.f64 (.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) #s(literal 2/45 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64)))) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) x)
(fma.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 2/45 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64)))) x)
(fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64)) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64)) (.f64 (.f64 (.f64 x x) #s(literal -2/45 binary64)) (fma.f64 x (.f64 x #s(literal -2/45 binary64)) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64)))))) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (/.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64)) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64)) (.f64 (.f64 (.f64 x x) #s(literal -2/45 binary64)) (fma.f64 x (.f64 x #s(literal -2/45 binary64)) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64))))))) x)
(fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -2/45 binary64)) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64)))) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (/.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -2/45 binary64)) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64))))) x)
(fma.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 2/45 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64)))) (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (*.f64 x x) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) #s(literal 1 binary64)) x)
(fma.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64)) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64)) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 8/91125 binary64)))) (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64)) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64)) (.f64 (.f64 (.f64 x x) #s(literal -2/45 binary64)) (fma.f64 x (.f64 x #s(literal -2/45 binary64)) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64))))))) x)
(fma.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x (.f64 x #s(literal -2/45 binary64)) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64))) (fma.f64 (.f64 x x) #s(literal 2/45 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64))))) (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -2/45 binary64)) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64))))) x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))))) (.f64 x (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (neg.f64 x)) (.f64 (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (neg.f64 x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 x (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))))) (.f64 x (.f64 x x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (neg.f64 x)) (.f64 (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (neg.f64 x))))))
(/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))))) (.f64 x (.f64 x x))) (fma.f64 x (-.f64 x (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))))))
(/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))))) (.f64 x (.f64 x x))) (fma.f64 x x (-.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))))) (.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 (.f64 x x) (*.f64 x x))))))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (neg.f64 x))) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (neg.f64 x)))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))))) (.f64 x (.f64 x x)))) (neg.f64 (fma.f64 x (-.f64 x (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))))))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 x (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))))) (.f64 x (.f64 x x))))))
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(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (neg.f64 x))) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (neg.f64 x)))
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(/.f64 (-.f64 (.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))))) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (neg.f64 x))) (.f64 (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (neg.f64 x)) (.f64 x x))) (.f64 (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (neg.f64 x)) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (neg.f64 x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))))) (.f64 x (.f64 x x))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))))))))
(/.f64 (neg.f64 (neg.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (neg.f64 x))))) (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (neg.f64 x)))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))))))) (neg.f64 (-.f64 x (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))))) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))))) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (neg.f64 x))) (/.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))))) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (neg.f64 x))) (fma.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (neg.f64 x))) (.f64 (/.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))))) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (neg.f64 x)))))))
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))))) (.f64 x (.f64 x x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (neg.f64 x)) (.f64 (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (neg.f64 x)))) #s(literal -1 binary64))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))))) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))))))))
(.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (neg.f64 x))))
(.f64 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)
(*.f64 x #s(literal 2/15 binary64))
(*.f64 #s(literal 2/15 binary64) x)
#s(approx (+ (* x (* x 2/15)) -1/3) (.f64 x (.f64 x #s(literal 2/15 binary64))))
(.f64 x (.f64 x #s(literal -2/45 binary64)))
(.f64 x (.f64 (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))
(.f64 (.f64 x #s(literal 2/15 binary64)) (*.f64 x #s(literal -1/3 binary64)))
(.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x #s(literal 2/15 binary64))))
(.f64 (.f64 x x) #s(literal -2/45 binary64))
(.f64 (.f64 x (*.f64 x #s(literal 2/15 binary64))) #s(literal -1/3 binary64))
(.f64 #s(literal -2/45 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal -2/45 binary64)) x)
(exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 (*.f64 x x))))
(pow.f64 x #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 1 binary64))
(.f64 x (.f64 x (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 x x))
(.f64 (.f64 x (*.f64 x x)) x)
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 1 binary64)))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (.f64 x (.f64 x x)) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(.f64 x (.f64 x x))
(.f64 (.f64 x x) x)
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)))

eval162.0ms (1.3%)

Memory: 6.7MiB live, 296.2MiB allocated
Compiler: Compiled 36 734 to 1 757 computations (95.2% saved)

prune123.0ms (1%)

Memory

14.7MiB live, 333.4MiB allocated

Pruning

19 alts after pruning (8 fresh and 11 done)

	Pruned	Kept	Total
New	905	6	911
Fresh	1	2	3
Picked	1	4	5
Done	0	7	7
Total	907	19	926

Accuracy

100.0%

Counts

926 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	97.1%	(/.f64 #s(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)) (cosh.f64 x))
✓	100.0%	(tanh.f64 x)
	97.1%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (.f64 x (.f64 x (.f64 x #s(literal 2/15 binary64)))) x (.f64 x (*.f64 x #s(literal -1/3 binary64)))) x x))
✓	97.1%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x))
✓	96.9%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x))
	97.1%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 8/3375 binary64) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (- (+ (* (* (* x x) (* x x)) 4/225) 1/9) (* (* x x) -2/45)) (fma.f64 (.f64 x x) #s(literal 2/45 binary64) #s(literal 1/9 binary64))))) (.f64 x (*.f64 x x)) x))
	23.0%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 8/3375 binary64) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (- (+ (* (* (* x x) (* x x)) 4/225) 1/9) (* (* x x) -2/45)) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 4/225 binary64) #s(literal 2/45 binary64))))))) (.f64 x (*.f64 x x)) x))
	97.1%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (fma.f64 x #s(literal -1/3 binary64) (.f64 x (.f64 x (.f64 x #s(literal 2/15 binary64))))) x) x x))
	97.1%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (/.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/225 binary64)) #s(literal -1/9 binary64)) x) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64))) x) x x))
✓	97.1%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x) x x))
✓	96.3%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x #s(approx (+ (* x (* x 2/15)) -1/3) (.f64 x (.f64 x #s(literal 2/15 binary64))))) x) x x))
✓	96.7%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/3 binary64) x))
✓	96.7%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 x (.f64 x #s(literal -1/3 binary64))) x x))
✓	96.3%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 #s(approx (+ (* x (* x 2/15)) -1/3) (.f64 (.f64 x x) #s(literal 2/15 binary64))) (.f64 x (.f64 x x)) x))
	2.0%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* (+ (* (* x x) 2/15) -1/3) (* x (* x x))) x) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))))))
	6.0%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* (+ (* (* x x) 2/15) -1/3) (* x (* x x))) x) (.f64 #s(literal 2/15 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))))
	4.8%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* (* x (* x -1/3)) x) x) (.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64))))))
✓	4.8%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* x (* -1/3 (* x x))) x) (.f64 (.f64 x x) (*.f64 x #s(literal -1/3 binary64)))))
✓	4.8%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* x (* -1/3 (* x x))) x) (.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))))

Compiler

Compiled 799 to 266 computations (66.7% saved)

regimes17.0ms (0.1%)

Memory

-37.1MiB live, 43.6MiB allocated

Counts

29 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* x (* -1/3 (* x x))) x) (.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* x (* -1/3 (* x x))) x) (.f64 (.f64 x x) (*.f64 x #s(literal -1/3 binary64)))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* x (* -1/3 (* x x))) x) (.f64 (.f64 x (*.f64 x #s(literal -1/3 binary64))) x)))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* (* x (* x -1/3)) x) x) (.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 x (.f64 (.f64 x #s(literal -1/3 binary64)) x) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 x (.f64 x #s(literal -1/3 binary64))) x x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/3 binary64) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* (+ (* x (* x 2/15)) -1/3) (* x (* x x))) x) (.f64 #s(literal 2/15 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* (+ (* (* x x) 2/15) -1/3) (* x (* x x))) x) (.f64 #s(literal 2/15 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 #s(approx (+ (* x (* x 2/15)) -1/3) (.f64 (.f64 x x) #s(literal 2/15 binary64))) (.f64 x (.f64 x x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x #s(approx (+ (* x (* x 2/15)) -1/3) (.f64 x (.f64 x #s(literal 2/15 binary64))))) x) x x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x) x x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (fma.f64 x #s(literal -1/3 binary64) (.f64 x (.f64 x (.f64 x #s(literal 2/15 binary64))))) x) x x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (.f64 x (.f64 x (.f64 x #s(literal 2/15 binary64)))) x (.f64 x (*.f64 x #s(literal -1/3 binary64)))) x x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* (+ (* x (* x 2/15)) -1/3) (* x (* x x))) x) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* (+ (* (* x x) 2/15) -1/3) (* x (* x x))) x) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (/.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/225 binary64)) #s(literal -1/9 binary64)) x) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64))) x) x x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 8/3375 binary64) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (- (+ (* (* (* x x) (* x x)) 4/225) 1/9) (* (* x x) -2/45)) (fma.f64 (.f64 x x) #s(literal 2/45 binary64) #s(literal 1/9 binary64))))) (.f64 x (*.f64 x x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 8/3375 binary64) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (- (+ (* (* (* x x) (* x x)) 4/225) 1/9) (* (* x x) -2/45)) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 4/225 binary64) #s(literal 2/45 binary64))))))) (.f64 x (*.f64 x x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 4/225 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/9 binary64)) (.f64 (.f64 x x) #s(literal -2/45 binary64))))) (.f64 x (*.f64 x x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 8/3375 binary64) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4/225 binary64) #s(literal 1/9 binary64)) (.f64 (.f64 x x) #s(literal -2/45 binary64))))) (.f64 x (*.f64 x x)) x))
(tanh.f64 x)
(/.f64 #s(approx (sinh x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)) (cosh.f64 x))
(/.f64 (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:

8.0ms	x
7.0ms	(/.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 16 to 8 computations (50% saved)

regimes14.0ms (0.1%)

Memory

38.5MiB live, 38.5MiB allocated

Counts

25 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* x (* -1/3 (* x x))) x) (.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* x (* -1/3 (* x x))) x) (.f64 (.f64 x x) (*.f64 x #s(literal -1/3 binary64)))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* x (* -1/3 (* x x))) x) (.f64 (.f64 x (*.f64 x #s(literal -1/3 binary64))) x)))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* (* x (* x -1/3)) x) x) (.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 x (.f64 (.f64 x #s(literal -1/3 binary64)) x) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 x (.f64 x #s(literal -1/3 binary64))) x x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/3 binary64) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* (+ (* x (* x 2/15)) -1/3) (* x (* x x))) x) (.f64 #s(literal 2/15 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* (+ (* (* x x) 2/15) -1/3) (* x (* x x))) x) (.f64 #s(literal 2/15 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 #s(approx (+ (* x (* x 2/15)) -1/3) (.f64 (.f64 x x) #s(literal 2/15 binary64))) (.f64 x (.f64 x x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x #s(approx (+ (* x (* x 2/15)) -1/3) (.f64 x (.f64 x #s(literal 2/15 binary64))))) x) x x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x) x x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (fma.f64 x #s(literal -1/3 binary64) (.f64 x (.f64 x (.f64 x #s(literal 2/15 binary64))))) x) x x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (.f64 x (.f64 x (.f64 x #s(literal 2/15 binary64)))) x (.f64 x (*.f64 x #s(literal -1/3 binary64)))) x x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* (+ (* x (* x 2/15)) -1/3) (* x (* x x))) x) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* (+ (* (* x x) 2/15) -1/3) (* x (* x x))) x) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (/.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/225 binary64)) #s(literal -1/9 binary64)) x) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64))) x) x x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 8/3375 binary64) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (- (+ (* (* (* x x) (* x x)) 4/225) 1/9) (* (* x x) -2/45)) (fma.f64 (.f64 x x) #s(literal 2/45 binary64) #s(literal 1/9 binary64))))) (.f64 x (*.f64 x x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 8/3375 binary64) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (- (+ (* (* (* x x) (* x x)) 4/225) 1/9) (* (* x x) -2/45)) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 4/225 binary64) #s(literal 2/45 binary64))))))) (.f64 x (*.f64 x x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 4/225 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/9 binary64)) (.f64 (.f64 x x) #s(literal -2/45 binary64))))) (.f64 x (*.f64 x x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 8/3375 binary64) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4/225 binary64) #s(literal 1/9 binary64)) (.f64 (.f64 x x) #s(literal -2/45 binary64))))) (.f64 x (*.f64 x x)) x))

Outputs

#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 8/3375 binary64) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (- (+ (* (* (* x x) (* x x)) 4/225) 1/9) (* (* x x) -2/45)) (fma.f64 (*.f64 x x) #s(literal 2/45 binary64) #s(literal 1/9 binary64))))) (*.f64 x (*.f64 x x)) x))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
97.1%	1	`x`
97.1%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`

Compiler

Compiled 16 to 8 computations (50% saved)

regimes12.0ms (0.1%)

Memory

-10.6MiB live, 28.7MiB allocated

Counts

21 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* x (* -1/3 (* x x))) x) (.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* x (* -1/3 (* x x))) x) (.f64 (.f64 x x) (*.f64 x #s(literal -1/3 binary64)))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* x (* -1/3 (* x x))) x) (.f64 (.f64 x (*.f64 x #s(literal -1/3 binary64))) x)))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* (* x (* x -1/3)) x) x) (.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 x (.f64 (.f64 x #s(literal -1/3 binary64)) x) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 x (.f64 x #s(literal -1/3 binary64))) x x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/3 binary64) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* (+ (* x (* x 2/15)) -1/3) (* x (* x x))) x) (.f64 #s(literal 2/15 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* (+ (* (* x x) 2/15) -1/3) (* x (* x x))) x) (.f64 #s(literal 2/15 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 #s(approx (+ (* x (* x 2/15)) -1/3) (.f64 (.f64 x x) #s(literal 2/15 binary64))) (.f64 x (.f64 x x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x #s(approx (+ (* x (* x 2/15)) -1/3) (.f64 x (.f64 x #s(literal 2/15 binary64))))) x) x x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x) x x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (fma.f64 x #s(literal -1/3 binary64) (.f64 x (.f64 x (.f64 x #s(literal 2/15 binary64))))) x) x x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (.f64 x (.f64 x (.f64 x #s(literal 2/15 binary64)))) x (.f64 x (*.f64 x #s(literal -1/3 binary64)))) x x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* (+ (* x (* x 2/15)) -1/3) (* x (* x x))) x) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* (+ (* (* x x) 2/15) -1/3) (* x (* x x))) x) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (/.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/225 binary64)) #s(literal -1/9 binary64)) x) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64))) x) x x))

Outputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x) x x))

Calls

2 calls:

6.0ms	x
5.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Results

Accuracy	Segments	Branch
97.1%	1	`x`
97.1%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`

Compiler

Compiled 16 to 8 computations (50% saved)

regimes9.0ms (0.1%)

Memory

-15.7MiB live, 23.0MiB allocated

Counts

12 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* x (* -1/3 (* x x))) x) (.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* x (* -1/3 (* x x))) x) (.f64 (.f64 x x) (*.f64 x #s(literal -1/3 binary64)))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* x (* -1/3 (* x x))) x) (.f64 (.f64 x (*.f64 x #s(literal -1/3 binary64))) x)))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* (* x (* x -1/3)) x) x) (.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 x (.f64 (.f64 x #s(literal -1/3 binary64)) x) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 x (.f64 x #s(literal -1/3 binary64))) x x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/3 binary64) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* (+ (* x (* x 2/15)) -1/3) (* x (* x x))) x) (.f64 #s(literal 2/15 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* (+ (* (* x x) 2/15) -1/3) (* x (* x x))) x) (.f64 #s(literal 2/15 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 #s(approx (+ (* x (* x 2/15)) -1/3) (.f64 (.f64 x x) #s(literal 2/15 binary64))) (.f64 x (.f64 x x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x #s(approx (+ (* x (* x 2/15)) -1/3) (.f64 x (.f64 x #s(literal 2/15 binary64))))) x) x x))

Outputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x)) 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
96.7%	1	`x`
96.7%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`

Compiler

Compiled 16 to 8 computations (50% saved)

regimes4.0ms (0%)

Memory

9.9MiB live, 9.9MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

4 → 1

Calls

Call 1

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

Outputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* x (* -1/3 (* x x))) x) (.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 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
4.8%	1	`x`
4.8%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`

Compiler

Compiled 16 to 8 computations (50% saved)

simplify7.0ms (0.1%)

Memory

-19.6MiB live, 19.6MiB allocated

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	144
1	58	144

Stop Event

1×

saturated

Calls

Call 1

Inputs
(tanh.f64 x)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 8/3375 binary64) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (- (+ (* (* (* x x) (* x x)) 4/225) 1/9) (* (* x x) -2/45)) (fma.f64 (.f64 x x) #s(literal 2/45 binary64) #s(literal 1/9 binary64))))) (.f64 x (*.f64 x x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x) x x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* x (* -1/3 (* x x))) x) (.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))))

Outputs
(tanh.f64 x)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 8/3375 binary64) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (- (+ (* (* (* x x) (* x x)) 4/225) 1/9) (* (* x x) -2/45)) (fma.f64 (.f64 x x) #s(literal 2/45 binary64) #s(literal 1/9 binary64))))) (.f64 x (*.f64 x x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x) x x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))) x x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* x (* -1/3 (* x x))) x) (.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(approx (+ (* x (* -1/3 (* x x))) x) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/3 binary64))))

soundness930.0ms (7.7%)

Memory

9.4MiB live, 859.3MiB allocated

Rules

12 890×	`lower-fma.f64`
12 890×	`lower-fma.f32`
11 270×	`lower-fma.f64`
11 270×	`lower-fma.f32`
9 254×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	285
0	61	206
1	269	206
2	1852	206
0	8558	206
0	90	425
1	259	424
2	604	414
3	1659	414
4	2630	414
5	4160	414
6	4872	414
7	6500	414
0	8123	386
0	91	2396
1	235	2312
2	579	2312
3	1690	2312
4	4286	2312
5	7323	2312
0	8201	2180
0	7	30
0	13	15
1	55	15
2	424	15
3	7080	15
0	8062	15
0	138	1860
1	382	1794
2	1033	1794
3	3170	1794
4	6186	1794
0	8456	1703
0	29	175
0	51	129
1	213	127
2	1541	127
0	8654	125

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

Compiler

Compiled 176 to 84 computations (52.3% saved)

preprocess96.0ms (0.8%)

Memory: 2.0MiB live, 119.3MiB allocated
Remove: (negabs x)
Compiler: Compiled 186 to 80 computations (57% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample4.7s (39%)

explain198.0ms (1.6%)

preprocess99.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify49.0ms (0.4%)

localize118.0ms (1%)

series4.0ms (0%)

simplify306.0ms (2.5%)

rewrite269.0ms (2.2%)

eval90.0ms (0.7%)

prune114.0ms (0.9%)

simplify326.0ms (2.7%)

localize227.0ms (1.9%)

series37.0ms (0.3%)

simplify392.0ms (3.2%)

rewrite389.0ms (3.2%)

eval115.0ms (1%)

prune173.0ms (1.4%)

simplify429.0ms (3.6%)

localize285.0ms (2.4%)

series14.0ms (0.1%)

simplify526.0ms (4.4%)

rewrite332.0ms (2.7%)

eval124.0ms (1%)

prune120.0ms (1%)

simplify306.0ms (2.5%)

localize335.0ms (2.8%)

series23.0ms (0.2%)

simplify234.0ms (1.9%)

rewrite358.0ms (3%)

eval162.0ms (1.3%)

prune123.0ms (1%)

regimes17.0ms (0.1%)

regimes14.0ms (0.1%)

regimes12.0ms (0.1%)

regimes9.0ms (0.1%)

regimes4.0ms (0%)

simplify7.0ms (0.1%)

soundness930.0ms (7.7%)

preprocess96.0ms (0.8%)

end0.0ms (0%)

Profiling