Metrics for Hyperbolic sine

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 10 to 9 computations (10% saved)

sample1.8s (19.1%)

Memory

14.3MiB live, 2 879.9MiB allocated

Samples

686.0ms	1 521×	2	valid
519.0ms	2 389×	1	valid
261.0ms	4 346×	0	valid

Precisions

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

ival-exp: 786.0ms (64.2% of total)

ival-div: 184.0ms (15% of total)

ival-sub: 106.0ms (8.7% of total)

adjust: 98.0ms (8% of total)

ival-neg: 34.0ms (2.8% of total)

ival-true: 7.0ms (0.6% of total)

exact: 5.0ms (0.4% of total)

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

Bogosity

explain137.0ms (1.5%)

Memory

13.9MiB live, 292.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
126	-	-	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
0	-	-	`(exp.f64 x)`
0	-	-	`(exp.f64 (neg.f64 x))`
0	-	-	`(neg.f64 x)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`	cancellation	126	0

Confusion

	Predicted +	Predicted -
+	126	0
-	0	130

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	126	0	0
-	0	0	130

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	130
1	126

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

39.0ms	96×	2	valid
24.0ms	146×	1	valid
18.0ms	270×	0	valid

Compiler

Compiled 59 to 25 computations (57.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-exp: 43.0ms (69.3% of total)

ival-div: 7.0ms (11.3% of total)

adjust: 4.0ms (6.4% of total)

ival-sub: 4.0ms (6.4% of total)

ival-neg: 2.0ms (3.2% of total)

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

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

exact: 0.0ms (0% of total)

preprocess36.0ms (0.4%)

Memory

-15.9MiB live, 61.2MiB allocated

Algorithm

1×	egg-herbie

Rules

276×	`lower-fma.f64`
276×	`lower-fma.f32`
180×	`lower-*.f64`
180×	`lower-*.f32`
88×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	32	16
2	76	16
3	173	16
4	346	16
5	508	16
6	531	16
0	7	8
0	12	8
1	23	8
2	40	8
3	67	8
4	109	8
5	168	8
6	227	8
7	349	8
8	410	8
9	419	8
0	419	8

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))) #s(literal 2 binary64))

Outputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))

Symmetry

(negabs x)

Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.7%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify16.0ms (0.2%)

Memory

-10.9MiB live, 28.0MiB 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	384	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))

Rules

276×	`lower-fma.f64`
276×	`lower-fma.f32`
180×	`lower-*.f64`
180×	`lower-*.f32`
88×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	23
0	12	23
1	23	23
2	40	23
3	67	23
4	109	23
5	168	23
6	227	23
7	349	23
8	410	23
9	419	23
0	419	23

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
x
(exp.f64 (neg.f64 x))
(neg.f64 x)
#s(literal 2 binary64)

Outputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
x
(exp.f64 (neg.f64 x))
(neg.f64 x)
#s(literal 2 binary64)

localize57.0ms (0.6%)

Memory

-4.2MiB live, 113.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 x)
accuracy	0	(exp.f64 (neg.f64 x))
accuracy	0	(exp.f64 x)
accuracy	28.978340289163764	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Samples

20.0ms	48×	2	valid
15.0ms	73×	1	valid
8.0ms	135×	0	valid

Compiler

Compiled 25 to 9 computations (64% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-exp: 21.0ms (61.9% of total)

ival-div: 5.0ms (14.7% of total)

ival-sub: 5.0ms (14.7% of total)

adjust: 2.0ms (5.9% of total)

ival-neg: 1.0ms (2.9% of total)

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

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

exact: 0.0ms (0% of total)

series3.0ms (0%)

Memory

10.5MiB live, 10.5MiB allocated

Counts

5 → 60

Calls

Call 1

Inputs
#s(alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (patch (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) #<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 (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())

Outputs
#s(alt x (taylor 0 x) (#s(alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (patch (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/6 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (patch (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) (taylor 0 x) (#s(alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (patch (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) #<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 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (patch (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (exp (neg x)))) (taylor inf x) (#s(alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (patch (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (exp (neg x)))) (taylor inf x) (#s(alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (patch (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (exp (neg x)))) (taylor inf x) (#s(alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (patch (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (exp (neg x)))) (taylor inf x) (#s(alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (patch (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (exp (* -1 x)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (patch (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (exp (* -1 x)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (patch (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (exp (* -1 x)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (patch (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (exp (* -1 x)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (patch (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) #<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 (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())

Calls

15 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/ (- (exp x) (exp (neg x))) 2)
0.0ms	x	@	-inf	(/ (- (exp x) (exp (neg x))) 2)
0.0ms	x	@	inf	(/ (- (exp x) (exp (neg x))) 2)
0.0ms	x	@	inf	(neg x)
0.0ms	x	@	0	(- (exp x) (exp (neg x)))

simplify213.0ms (2.3%)

Memory

-18.3MiB live, 286.3MiB allocated

Algorithm

1×	egg-herbie

Rules

18 510×	`lower-fma.f64`
18 510×	`lower-fma.f32`
4 440×	`lower-*.f64`
4 440×	`lower-*.f32`
2 418×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	323
1	218	322
2	536	316
3	1389	316
4	2118	316
5	3210	316
6	3762	316
7	5168	316
8	6336	316
9	7581	316
0	8147	294

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 59

Calls

Call 1

Inputs
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) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (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))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)

Outputs
x
(* x (+ 1 (* 1/6 (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)
(* 1/2 (- (exp x) (exp (neg x))))
(*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (- (exp x) (exp (neg x))))
(*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (- (exp x) (exp (neg x))))
(*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (- (exp x) (exp (neg x))))
(*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (- (exp x) (exp (* -1 x))))
(*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (- (exp x) (exp (* -1 x))))
(*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (- (exp x) (exp (* -1 x))))
(*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (- (exp x) (exp (* -1 x))))
(*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 1/3 (pow x 2))))
(.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)
(- (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 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(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 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))
(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))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)

rewrite101.0ms (1.1%)

Memory

14.6MiB live, 135.2MiB allocated

Rules

1 606×	`lower-/.f32`
1 604×	`lower-/.f64`
1 600×	`lower-*.f64`
1 600×	`lower-*.f32`
1 038×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	21
0	12	17
1	47	13
2	294	13
0	3072	13

Stop Event

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

Counts

5 → 297

Calls

Call 1

Inputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
(exp.f64 (neg.f64 x))
(neg.f64 x)

Outputs
(.f64 (/.f64 (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (sinh.f64 x)) (+.f64 (exp.f64 (.f64 x #s(literal -3 binary64))) (exp.f64 (.f64 #s(literal 3 binary64) x)))) (+.f64 (expm1.f64 (.f64 x #s(literal -2 binary64))) (exp.f64 (+.f64 x x))))
(.f64 (/.f64 (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (sinh.f64 x)) (.f64 (.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x))) (.f64 (sinh.f64 x) #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (.f64 #s(literal 3 binary64) x)) (exp.f64 (.f64 x #s(literal -3 binary64))))) (-.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x (+.f64 x x))) (pow.f64 (-.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64)))) (-.f64 (expm1.f64 (+.f64 x x)) (exp.f64 (.f64 x #s(literal -2 binary64)))))
(.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (.f64 #s(literal 3 binary64) x)) (exp.f64 (.f64 x #s(literal -3 binary64))))) (+.f64 (pow.f64 (-.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64)) (exp.f64 (.f64 (+.f64 x x) #s(literal 3 binary64))))) (+.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64)) (fma.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64) #s(literal 1 binary64))) (exp.f64 (fma.f64 #s(literal 2 binary64) x (+.f64 x x)))))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 x))) #s(literal -1/2 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal -1/2 binary64)))
(.f64 (/.f64 (.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))
(.f64 (/.f64 (+.f64 (-.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))) #s(literal 2 binary64)) (/.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) (+.f64 (-.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 x x)))))
(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x))) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))
(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (.f64 #s(literal 3 binary64) x)) (exp.f64 (.f64 x #s(literal -3 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 x x)))))
(.f64 (.f64 #s(literal 1/2 binary64) (sinh.f64 x)) #s(literal 2 binary64))
(.f64 (.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (sinh.f64 x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))
(.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (.f64 #s(literal 3 binary64) x)) (exp.f64 (.f64 x #s(literal -3 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 x x)))))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cosh.f64 x) #s(literal 2 binary64))) (sinh.f64 x)) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 (cosh.f64 x) #s(literal 2 binary64)))))
(.f64 #s(literal -1/2 binary64) (.f64 #s(literal -2 binary64) (sinh.f64 x)))
(.f64 (-.f64 (.f64 (exp.f64 (.f64 #s(literal 3 binary64) x)) #s(literal 1/8 binary64)) (.f64 (exp.f64 (.f64 x #s(literal -3 binary64))) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (+.f64 x x)) #s(literal 1/4 binary64) (fma.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1/4 binary64) #s(literal 1/4 binary64)))))
(.f64 (fma.f64 #s(literal 2 binary64) (exp.f64 x) (.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 x)))) #s(literal 1/4 binary64))
(.f64 (cosh.f64 x) (/.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (cosh.f64 x))))
(.f64 (.f64 (.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)) (/.f64 #s(literal 1/2 binary64) (.f64 (cosh.f64 x) #s(literal 2 binary64))))
(.f64 (.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)) (/.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))
(.f64 (.f64 (.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)) (.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64)))
(.f64 (.f64 (.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (cosh.f64 x))))
(*.f64 #s(literal -1 binary64) (neg.f64 (sinh.f64 x)))
(.f64 #s(literal 1/2 binary64) (.f64 (sinh.f64 x) #s(literal 2 binary64)))
(.f64 (+.f64 (-.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))) (/.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) (fma.f64 (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) (exp.f64 (+.f64 x x))) #s(literal 2 binary64) #s(literal 2 binary64))))
(.f64 (-.f64 (exp.f64 (.f64 #s(literal 3 binary64) x)) (exp.f64 (.f64 x #s(literal -3 binary64)))) (/.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 x x)))))
(.f64 (-.f64 (exp.f64 (.f64 #s(literal 3 binary64) x)) (exp.f64 (.f64 x #s(literal -3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 x x)))) #s(literal 2 binary64)))
(.f64 (-.f64 (exp.f64 (.f64 #s(literal 3 binary64) x)) (exp.f64 (.f64 x #s(literal -3 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 x x)))) #s(literal 1/2 binary64)))
(.f64 (-.f64 (exp.f64 (.f64 #s(literal 3 binary64) x)) (exp.f64 (.f64 x #s(literal -3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) (exp.f64 (+.f64 x x))) #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) (/.f64 (sinh.f64 x) #s(literal -2 binary64)))
(.f64 #s(literal -2 binary64) (.f64 (sinh.f64 x) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal -2 binary64) (sinh.f64 x)) #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (sinh.f64 x))
(*.f64 (sinh.f64 x) #s(literal 1 binary64))
(.f64 #s(literal 2 binary64) (.f64 (neg.f64 (sinh.f64 x)) #s(literal -1/2 binary64)))
(.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (sinh.f64 x)))
(.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal -1 binary64))
(/.f64 (/.f64 (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (sinh.f64 x)) #s(literal 2 binary64)) (cosh.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (.f64 #s(literal 3 binary64) x)) (exp.f64 (.f64 x #s(literal -3 binary64)))))) (+.f64 (-.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))))
(/.f64 (.f64 (neg.f64 (.f64 (.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x))) #s(literal -1/2 binary64)) (.f64 (cosh.f64 x) #s(literal 2 binary64)))
(/.f64 (.f64 (neg.f64 (-.f64 (exp.f64 (.f64 #s(literal 3 binary64) x)) (exp.f64 (.f64 x #s(literal -3 binary64))))) #s(literal -1/2 binary64)) (+.f64 (-.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))))
(/.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)) #s(literal -1/2 binary64)) (.f64 #s(literal -2 binary64) (cosh.f64 x)))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 #s(literal 3 binary64) x)) (exp.f64 (.f64 x #s(literal -3 binary64)))) #s(literal -1/2 binary64)) (neg.f64 (+.f64 (-.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 x x)))))
(/.f64 (.f64 (neg.f64 (.f64 (.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x))) #s(literal 1/2 binary64)) (.f64 #s(literal -2 binary64) (cosh.f64 x)))
(/.f64 (.f64 (neg.f64 (-.f64 (exp.f64 (.f64 #s(literal 3 binary64) x)) (exp.f64 (.f64 x #s(literal -3 binary64))))) #s(literal 1/2 binary64)) (neg.f64 (+.f64 (-.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 x x)))))
(/.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 (.f64 (.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)))) (.f64 #s(literal -2 binary64) (cosh.f64 x)))
(/.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 (-.f64 (exp.f64 (.f64 #s(literal 3 binary64) x)) (exp.f64 (.f64 x #s(literal -3 binary64)))))) (neg.f64 (+.f64 (-.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 x x)))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (sinh.f64 x))) (.f64 (cosh.f64 x) #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (.f64 #s(literal 3 binary64) x)) (exp.f64 (.f64 x #s(literal -3 binary64)))))) (+.f64 (-.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cosh.f64 x) #s(literal 2 binary64))) (sinh.f64 x))) (.f64 #s(literal 1/2 binary64) (.f64 (cosh.f64 x) #s(literal 2 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 (.f64 (exp.f64 (.f64 #s(literal 3 binary64) x)) #s(literal 1/8 binary64)) (.f64 (exp.f64 (.f64 x #s(literal -3 binary64))) #s(literal 1/8 binary64)))) (fma.f64 (exp.f64 (+.f64 x x)) #s(literal 1/4 binary64) (fma.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1/4 binary64) #s(literal 1/4 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (exp.f64 x) (.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 x))))) #s(literal 4 binary64))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 #s(literal 3 binary64) x)) (exp.f64 (.f64 x #s(literal -3 binary64))))) (fma.f64 (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) (exp.f64 (+.f64 x x))) #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (sinh.f64 x))) #s(literal -2 binary64))
(/.f64 (-.f64 (.f64 (exp.f64 (+.f64 x x)) #s(literal 1/4 binary64)) (.f64 (.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)) (.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)))) (-.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 x)) (.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64))))
(/.f64 (/.f64 (-.f64 (exp.f64 (.f64 #s(literal 3 binary64) x)) (exp.f64 (.f64 x #s(literal -3 binary64)))) #s(literal 2 binary64)) (+.f64 (-.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))))
(/.f64 (fma.f64 (exp.f64 (.f64 #s(literal 3 binary64) x)) #s(literal 1/8 binary64) (pow.f64 (.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (exp.f64 (+.f64 x x)) #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)) (.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 x)) (.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64))))))
(/.f64 (/.f64 (.f64 (.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
(/.f64 (neg.f64 (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (sinh.f64 x))) (*.f64 #s(literal -2 binary64) (cosh.f64 x)))
(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (.f64 #s(literal 3 binary64) x)) (exp.f64 (.f64 x #s(literal -3 binary64)))))) (neg.f64 (+.f64 (-.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 x x)))))
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(fma.f64 (exp.f64 (+.f64 x x)) (/.f64 (exp.f64 x) (+.f64 (-.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 x x)))) (neg.f64 (/.f64 (exp.f64 (.f64 x #s(literal -3 binary64))) (+.f64 (-.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))))))
(fma.f64 (exp.f64 (+.f64 x x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (neg.f64 (.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))))
(fma.f64 (exp.f64 (.f64 #s(literal 3 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 x x)))) (neg.f64 (/.f64 (exp.f64 (.f64 x #s(literal -3 binary64))) (+.f64 (-.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 (exp.f64 x) (cosh.f64 x)) (neg.f64 (.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 x)) #s(literal 2 binary64) (.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (neg.f64 x))) (exp.f64 x))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) (neg.f64 (exp.f64 (neg.f64 x))))
(fma.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 x)) (.f64 #s(literal 2 binary64) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64))))
(fma.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64) (exp.f64 x))
(fma.f64 (exp.f64 x) (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (-.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 x x)))) (neg.f64 (/.f64 (exp.f64 (.f64 x #s(literal -3 binary64))) (+.f64 (-.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))))))
(fma.f64 (exp.f64 x) (/.f64 (exp.f64 x) (.f64 (cosh.f64 x) #s(literal 2 binary64))) (neg.f64 (.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) (neg.f64 (exp.f64 (neg.f64 x))))
(-.f64 (+.f64 (exp.f64 x) #s(literal 0 binary64)) (exp.f64 (neg.f64 x)))
(-.f64 (.f64 (exp.f64 (+.f64 x x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) (.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))))
(-.f64 (/.f64 (exp.f64 (.f64 #s(literal 3 binary64) x)) (+.f64 (-.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 x x)))) (/.f64 (exp.f64 (.f64 x #s(literal -3 binary64))) (+.f64 (-.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 x x)))))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 x))) (.f64 #s(literal 2 binary64) (.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64))))
(+.f64 (neg.f64 (neg.f64 (exp.f64 x))) (neg.f64 (exp.f64 (neg.f64 x))))
(+.f64 (.f64 (exp.f64 (+.f64 x x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) (neg.f64 (.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))))
(+.f64 (/.f64 (exp.f64 (.f64 #s(literal 3 binary64) x)) (+.f64 (-.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 x x)))) (neg.f64 (/.f64 (exp.f64 (.f64 x #s(literal -3 binary64))) (+.f64 (-.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))))))
(+.f64 (neg.f64 (exp.f64 (neg.f64 x))) (exp.f64 x))
(+.f64 (exp.f64 x) (neg.f64 (exp.f64 (neg.f64 x))))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(/.f64 (exp.f64 x) #s(literal 1 binary64))
(exp.f64 x)
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 x))))
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) x)
(pow.f64 (exp.f64 x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 x))))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(neg.f64 (neg.f64 (exp.f64 (neg.f64 x))))
(-.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 (neg.f64 x))))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) x))
(exp.f64 (neg.f64 x))
(.f64 (neg.f64 (.f64 x x)) (/.f64 #s(literal 1 binary64) x))
(.f64 (neg.f64 (.f64 (.f64 x x) x)) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x (log.f64 (exp.f64 #s(literal -1 binary64))))
(*.f64 x #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 #s(literal 0 binary64) (neg.f64 x)))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 (neg.f64 x) (neg.f64 x)) (.f64 #s(literal 0 binary64) (neg.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 x x))) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 x x) x))) (neg.f64 (*.f64 x x)))
(/.f64 (neg.f64 (*.f64 x x)) x)
(/.f64 (neg.f64 (.f64 (.f64 x x) x)) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (neg.f64 (.f64 (*.f64 x x) x))))
(neg.f64 x)
(fma.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (neg.f64 (.f64 (.f64 x x) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64))
(fma.f64 x (log.f64 (exp.f64 #s(literal -1 binary64))) #s(literal 0 binary64))
(fma.f64 x #s(literal -1 binary64) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 x x) x))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 x x)) (/.f64 (.f64 (.f64 x x) x) (.f64 x x)))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (exp.f64 x))))
(-.f64 #s(literal 0 binary64) x)
(+.f64 #s(literal 0 binary64) (neg.f64 x))
(+.f64 (neg.f64 x) #s(literal 0 binary64))
(log.f64 (exp.f64 (neg.f64 x)))

eval109.0ms (1.2%)

Memory: -19.7MiB live, 94.1MiB allocated
Compiler: Compiled 6 228 to 931 computations (85.1% saved)

prune49.0ms (0.5%)

Memory

14.2MiB live, 133.7MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	352	4	356
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	353	4	357

Accuracy

100.0%

Counts

357 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(sinh.f64 x)
▶	94.4%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
▶	90.5%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
▶	82.7%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))

Compiler

Compiled 48 to 26 computations (45.8% saved)

simplify372.0ms (4%)

Memory

14.1MiB live, 327.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

Rules

34 864×	`lower-fma.f32`
34 852×	`lower-fma.f64`
3 704×	`lower-+.f64`
3 704×	`lower-+.f32`
2 836×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	185
0	42	167
1	80	167
2	151	167
3	337	161
4	840	161
5	1365	161
6	1693	161
7	2402	161
8	3137	161
9	3772	161
10	5046	161
11	5719	161
12	6730	161
13	6804	161
14	6831	161
15	6892	161
16	6904	161
17	6908	161
18	6908	161
19	6908	161
0	8340	155

Stop Event

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

Calls

Call 1

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

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

localize143.0ms (1.5%)

Memory

10.7MiB live, 332.2MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0	(sinh.f64 x)
accuracy	0.03125	(fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
accuracy	0.049160009768442016	(fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64))
accuracy	0.2766009970417679	(fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
accuracy	3.567788537199307	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
accuracy	0.03515625	(.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
accuracy	0.046875	(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64))
accuracy	0.2725065773389289	(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
accuracy	6.103213463989869	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
accuracy	0	(*.f64 x x)
accuracy	0.06640625	(.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)
accuracy	0.09375	(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))
accuracy	11.085335100631367	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))

Samples

43.0ms	48×	2	valid
34.0ms	73×	1	valid
30.0ms	135×	0	valid

Compiler

Compiled 161 to 30 computations (81.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 87.0ms

ival-exp: 23.0ms (26.6% of total)

ival-mult: 20.0ms (23.1% of total)

const: 16.0ms (18.5% of total)

ival-add: 9.0ms (10.4% of total)

adjust: 8.0ms (9.2% of total)

ival-div: 5.0ms (5.8% of total)

ival-sub: 2.0ms (2.3% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series134.0ms (1.4%)

Memory

-14.6MiB live, 24.4MiB allocated

Counts

14 → 168

Calls

Call 1

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

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

Calls

42 calls:

Time	Variable		Point	Expression
121.0ms	x	@	0	(* (+ (* (* x x) 1/6) 1) x)
2.0ms	x	@	-inf	(sinh x)
1.0ms	x	@	inf	(sinh x)
1.0ms	x	@	-inf	(* (+ (* (* x x) 1/6) 1) x)
1.0ms	x	@	inf	(* (+ (* (* x x) 1/6) 1) x)

simplify279.0ms (3%)

Memory

8.5MiB live, 254.2MiB allocated

Algorithm

1×	egg-herbie

Rules

16 208×	`lower-fma.f64`
16 208×	`lower-fma.f32`
4 624×	`lower-*.f64`
4 624×	`lower-*.f32`
2 360×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	99	1484
1	317	1430
2	823	1417
3	3268	1414
4	6875	1414
0	8187	1303

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 161

Calls

Call 1

Inputs
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) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* 1/6 (pow x 2))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* 1/6 (pow x 2)))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/6 (/ 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 (* 1/6 (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) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 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 (* 1/120 (pow x 2))))))
(* 1/120 (pow x 5))
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/120 (pow x 5))
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(* 1/120 (pow x 4))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/120 (pow x 4))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
1/6
(+ 1/6 (* 1/120 (pow x 2)))
(+ 1/6 (* 1/120 (pow x 2)))
(+ 1/6 (* 1/120 (pow x 2)))
(* 1/120 (pow x 2))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 2))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
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) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 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)))))))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
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))))))
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))))
1/120
(+ 1/120 (* 1/5040 (pow x 2)))
(+ 1/120 (* 1/5040 (pow x 2)))
(+ 1/120 (* 1/5040 (pow x 2)))
(* 1/5040 (pow x 2))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* 1/5040 (pow x 2))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))

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

rewrite380.0ms (4.1%)

Memory

-23.5MiB live, 296.5MiB allocated

Rules

4 558×	`lower-/.f64`
4 558×	`lower-/.f32`
4 340×	`lower-*.f32`
4 332×	`lower-*.f64`
4 308×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	166
0	42	148
1	175	148
2	1258	148
0	8258	148

Stop Event

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

Counts

14 → 461

Calls

Call 1

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

Outputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))
(.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal -1 binary64))))
(.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/216 binary64)) (.f64 (.f64 x x) x) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x))))))
(.f64 (.f64 x (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal -1 binary64))))
(.f64 (.f64 x (fma.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/216 binary64)) (.f64 (.f64 x x) x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x))))))
(.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x)
(.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x)) (.f64 x x)) (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x)) x) x))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x))) (-.f64 x (.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (.f64 x x)) (-.f64 (.f64 x (.f64 #s(literal 1/6 binary64) (*.f64 x x))) x))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x x))))) (-.f64 x (.f64 x (.f64 #s(literal 1/6 binary64) (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x) #s(literal 3 binary64)) (.f64 (.f64 x x) x)) (fma.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x) (-.f64 (.f64 x x) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x) x))))
(/.f64 (fma.f64 (.f64 x x) x (pow.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x)) (.f64 x (.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x x))) #s(literal 3 binary64)) (.f64 (.f64 x x) x)) (fma.f64 (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x x))) (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x x))) x))))
(/.f64 (fma.f64 (.f64 x x) x (pow.f64 (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x x))) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (.f64 x (.f64 x (.f64 #s(literal 1/6 binary64) (*.f64 x x)))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64) #s(literal -1 binary64)) x)) (neg.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/216 binary64)) (.f64 (.f64 x x) x) #s(literal 1 binary64)) x)) (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x x))))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64) #s(literal -1 binary64)))) (neg.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/216 binary64)) (.f64 (.f64 x x) x) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x x))))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64) #s(literal -1 binary64)) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/216 binary64)) (.f64 (.f64 x x) x) #s(literal 1 binary64)) x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))))
(/.f64 (.f64 x (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64) #s(literal -1 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64)))
(/.f64 (.f64 x (fma.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/216 binary64)) (.f64 (.f64 x x) x) #s(literal 1 binary64))) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal -1 binary64)) (.f64 (fma.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64) #s(literal -1 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/216 binary64)) (.f64 (*.f64 x x) x) #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal -1 binary64)) (.f64 x (fma.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (.f64 x (fma.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/216 binary64)) (.f64 (*.f64 x x) x) #s(literal 1 binary64)))))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x)) x))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (.f64 x (.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x x)
(fma.f64 #s(literal 1 binary64) x (.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x)) x))
(fma.f64 #s(literal 1 binary64) x (.f64 x (.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(fma.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x x)) x)
(fma.f64 x #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x)) x))
(fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(+.f64 (.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x)) x) x)
(+.f64 (.f64 x (.f64 #s(literal 1/6 binary64) (*.f64 x x))) x)
(+.f64 x (.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x)) x))
(+.f64 x (.f64 x (.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))))
(.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64)))))
(.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/216 binary64)) (.f64 (.f64 x x) x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))))))
(.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/216 binary64)) (.f64 (.f64 x x) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64) (neg.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x)))))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/216 binary64)) (.f64 (.f64 x x) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x x))))))
(.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal -1 binary64))) (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal -1 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal -1 binary64))))) (+.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal -1 binary64))) (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal -1 binary64))) (.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/216 binary64)) (.f64 (.f64 x x) x) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal -1 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/216 binary64)) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/216 binary64)) (.f64 (.f64 x x) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/216 binary64)) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/216 binary64)) (.f64 (.f64 x x) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/216 binary64)) (.f64 (.f64 x x) x) #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x))))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/216 binary64)) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/216 binary64)) (.f64 (.f64 x x) x))) (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/216 binary64)) (.f64 (.f64 x x) x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/216 binary64)) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/216 binary64)) (.f64 (.f64 x x) x)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/216 binary64)) (.f64 (.f64 x x) x)))) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal -1 binary64))) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal -1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x))))
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(+.f64 (.f64 #s(literal 1/5040 binary64) (.f64 x x)) #s(literal 1/120 binary64))
(+.f64 #s(literal 1/120 binary64) (.f64 #s(literal 1/5040 binary64) (.f64 x x)))

eval301.0ms (3.2%)

Memory: 9.4MiB live, 238.8MiB allocated
Compiler: Compiled 22 735 to 1 807 computations (92.1% saved)

prune297.0ms (3.2%)

Memory

-6.7MiB live, 274.4MiB allocated

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	697	20	717
Fresh	0	0	0
Picked	3	1	4
Done	0	0	0
Total	700	21	721

Accuracy

100.0%

Counts

721 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(sinh.f64 x)
▶	94.4%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x) x x))
	57.6%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (/.f64 (.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) x) (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)) (.f64 x x) #s(literal -1 binary64)) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal -1 binary64))))
	69.8%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64))) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
	69.8%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/120 binary64) (.f64 #s(literal 1/5040 binary64) (.f64 x x))) (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64))))) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
	69.8%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
	90.5%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) x) x #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
	57.3%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64))) #s(literal -1/36 binary64)) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))) (.f64 x x) #s(literal 1 binary64)) x))
	94.4%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)))) (.f64 x x) #s(literal 1 binary64)) x))
	82.7%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)) x))
	94.3%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (.f64 (.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) x) x)) (.f64 x x) #s(literal 1 binary64)) x))
	94.3%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/5040 binary64))) (*.f64 x x) #s(literal 1 binary64)) x))
	90.3%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 #s(approx (+ ( 1/120 (* x x)) 1/6) (.f64 #s(literal 1/120 binary64) (.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) x))
▶	94.4%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)))) x))
	48.1%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) x) (.f64 (*.f64 x x) x))) x))
▶	48.0%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/5040 binary64)) x) x)) x))
▶	51.8%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) #s(literal 1 binary64)) x))
	44.3%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) x))
▶	44.1%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/120 binary64))) x))
	36.5%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (* x x) 1/6) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))) x))
	36.9%	#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))))

Compiler

Compiled 841 to 396 computations (52.9% saved)

simplify412.0ms (4.4%)

Memory

12.4MiB live, 209.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
cost-diff	0	(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
cost-diff	0	(fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x) x x)
cost-diff	0	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x) x x))
cost-diff	0	(.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/5040 binary64)) x) x)
cost-diff	0	#s(approx (+ (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/5040 binary64)) x) x))
cost-diff	0	(.f64 #s(approx (+ ( (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/5040 binary64)) x) x)) x)
cost-diff	0	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/5040 binary64)) x) x)) x))
cost-diff	0	(.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/120 binary64))
cost-diff	0	#s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/120 binary64)))
cost-diff	0	(.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/120 binary64))) x)
cost-diff	0	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/120 binary64))) x))
cost-diff	0	#s(approx (+ (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) #s(literal 1 binary64))
cost-diff	0	(.f64 #s(approx (+ ( (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) #s(literal 1 binary64)) x)
cost-diff	0	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) #s(literal 1 binary64)) x))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
cost-diff	0	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)))) x)
cost-diff	0	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)))) x))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))))

Rules

23 180×	`lower-fma.f32`
23 172×	`lower-fma.f64`
2 972×	`lower-*.f32`
2 946×	`lower-*.f64`
2 496×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	559
0	77	547
1	136	515
2	257	491
3	599	473
4	957	473
5	1569	473
6	1979	473
7	2728	473
8	3583	473
9	4247	473
10	5775	473
11	6500	473
12	7141	473
13	7328	473
14	7474	473
15	7705	473
16	7742	473
17	7785	473
18	7848	473
19	7872	473
20	7890	473
21	7890	473
0	8641	463

Stop Event

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

Calls

Call 1

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

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

localize336.0ms (3.6%)

Memory

-25.8MiB live, 385.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.10546875	(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
accuracy	0.19921875	(.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
accuracy	0.2766009970417679	(fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
accuracy	3.567788537199307	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x) x x))
accuracy	0.0703125	(.f64 (.f64 (*.f64 x x) x) x)
accuracy	0.0859375	(.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/5040 binary64))
accuracy	3.567788537199307	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/5040 binary64)) x) x)) x))
accuracy	30.4799839396086	#s(approx (+ (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/5040 binary64)) x) x))
accuracy	0.0703125	(.f64 (.f64 (*.f64 x x) x) x)
accuracy	0.08203125	(.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/120 binary64))
accuracy	6.103213463989869	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/120 binary64))) x))
accuracy	30.413718784303434	#s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/120 binary64)))
accuracy	0.015625	(.f64 #s(approx (+ ( (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) #s(literal 1 binary64)) x)
accuracy	3.567788537199307	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) #s(literal 1 binary64)) x))
accuracy	31.48250808019726	#s(approx (+ (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) #s(literal 1 binary64))
accuracy	0.049160009768442016	(fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64))
accuracy	0.2766009970417679	(fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
accuracy	0.32891807974322373	(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
accuracy	3.567788537199307	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)))) x))

Samples

127.0ms	135×	0	valid
57.0ms	48×	2	valid
49.0ms	73×	1	valid

Compiler

Compiled 424 to 39 computations (90.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 165.0ms

ival-mult: 79.0ms (47.8% of total)

ival-exp: 22.0ms (13.3% of total)

ival-sub: 18.0ms (10.9% of total)

ival-div: 13.0ms (7.9% of total)

const: 12.0ms (7.3% of total)

adjust: 9.0ms (5.4% of total)

ival-add: 9.0ms (5.4% of total)

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

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

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

exact: 0.0ms (0% of total)

series19.0ms (0.2%)

Memory

19.9MiB live, 58.8MiB allocated

Counts

23 → 276

Calls

Call 1

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

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

Calls

69 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(* (* (* (* (* (* x x) x) x) 1/5040) x) x)
0.0ms	x	@	0	(* (* (* (* x x) x) x) 1/120)
0.0ms	x	@	inf	(* (* (* (* (* (* x x) x) x) 1/5040) x) x)
0.0ms	x	@	0	(/ 1 (+ (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1))
0.0ms	x	@	inf	(+ (* (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) x) x)

simplify186.0ms (2%)

Memory

-20.0MiB live, 261.3MiB allocated

Algorithm

1×	egg-herbie

Rules

12 198×	`lower-fma.f64`
12 198×	`lower-fma.f32`
3 696×	`lower-*.f64`
3 696×	`lower-*.f32`
2 132×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	129	2732
1	403	2732
2	1045	2664
3	2812	2664
4	5857	2664
0	8208	2486

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 266

Calls

Call 1

Inputs
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
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) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 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)))))))
1
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 7/360 (pow x 2)) 1/6)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 7/360 (* -31/15120 (pow x 2)))) 1/6)))
(/ 5040 (pow x 6))
(/ (- 5040 (* 211680 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 5040 (/ 4656960 (pow x 4))) (* 211680 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 5040 (/ 4656960 (pow x 4))) (+ (* 211680 (/ 1 (pow x 2))) (* 43182720 (/ 1 (pow x 6))))) (pow x 6))
(/ 5040 (pow x 6))
(/ (- 5040 (* 211680 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 5040 (/ 4656960 (pow x 4))) (* 211680 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 5040 (/ 4656960 (pow x 4))) (+ (* 211680 (/ 1 (pow x 2))) (* 43182720 (/ 1 (pow x 6))))) (pow x 6))
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) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 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)))))))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
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) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 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 (* 1/120 (pow x 2))))))
(* 1/120 (pow x 5))
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/120 (pow x 5))
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(* 1/120 (pow x 4))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/120 (pow x 4))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
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) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 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)))))))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/5040 (pow x 6))
(* 1/5040 (pow x 6))
(* 1/5040 (pow x 6))
(* 1/5040 (pow x 6))
(* 1/5040 (pow x 6))
(* 1/5040 (pow x 6))
(* 1/5040 (pow x 6))
(* 1/5040 (pow x 6))
(* 1/5040 (pow x 6))
(* 1/5040 (pow x 6))
(* 1/5040 (pow x 6))
(* 1/5040 (pow x 6))
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) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 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)))))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* 1/6 x)
(* x (+ 1/6 (* 1/120 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(* x (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(* 1/5040 (pow x 5))
(* (pow x 5) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 5) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* 1/5040 (pow x 5))
(* (pow x 5) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))
1/120
(+ 1/120 (* 1/5040 (pow x 2)))
(+ 1/120 (* 1/5040 (pow x 2)))
(+ 1/120 (* 1/5040 (pow x 2)))
(* 1/5040 (pow x 2))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* 1/5040 (pow x 2))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 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))))))
(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)
(* 1/5040 (pow x 4))
(* 1/5040 (pow x 4))
(* 1/5040 (pow x 4))
(* 1/5040 (pow x 4))
(* 1/5040 (pow x 4))
(* 1/5040 (pow x 4))
(* 1/5040 (pow x 4))
(* 1/5040 (pow x 4))
(* 1/5040 (pow x 4))
(* 1/5040 (pow x 4))
(* 1/5040 (pow x 4))
(* 1/5040 (pow x 4))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(* 1/5040 (pow x 6))
(.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/5040 binary64)) (.f64 (.f64 x x) x))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) x) (.f64 (*.f64 x x) x))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
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(.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(* 1/5040 (pow x 5))
(.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/5040 binary64)) (*.f64 x x))
(* (pow x 5) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal -1/5040 binary64)))
(* (pow x 5) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal -1/5040 binary64)) (.f64 (.f64 (.f64 (*.f64 x x) x) x) x))
(* (pow x 5) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal -1/5040 binary64)) (.f64 (.f64 (.f64 (*.f64 x x) x) x) x))
(* 1/5040 (pow x 5))
(.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/5040 binary64)) (*.f64 x x))
(* (pow x 5) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal -1/5040 binary64)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))
(.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal -1/5040 binary64)) (.f64 (.f64 (.f64 (*.f64 x x) x) x) x))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))
(.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal -1/5040 binary64)) (.f64 (.f64 (.f64 (*.f64 x x) x) x) x))
1/120
#s(literal 1/120 binary64)
(+ 1/120 (* 1/5040 (pow x 2)))
(fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
(+ 1/120 (* 1/5040 (pow x 2)))
(fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
(+ 1/120 (* 1/5040 (pow x 2)))
(fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
(* 1/5040 (pow x 2))
(.f64 #s(literal 1/5040 binary64) (.f64 x x))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
(* 1/5040 (pow x 2))
(.f64 #s(literal 1/5040 binary64) (.f64 x x))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/120 (pow x 2)))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64))
(* 1/5040 (pow x 4))
(.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/5040 binary64)) x)
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x)
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64))
(* 1/5040 (pow x 4))
(.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/5040 binary64)) x)
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x)
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64))
(pow x 4)
(.f64 (.f64 (*.f64 x x) x) x)
(pow x 4)
(.f64 (.f64 (*.f64 x x) x) x)
(pow x 4)
(.f64 (.f64 (*.f64 x x) x) x)
(pow x 4)
(.f64 (.f64 (*.f64 x x) x) x)
(pow x 4)
(.f64 (.f64 (*.f64 x x) x) x)
(pow x 4)
(.f64 (.f64 (*.f64 x x) x) x)
(pow x 4)
(.f64 (.f64 (*.f64 x x) x) x)
(pow x 4)
(.f64 (.f64 (*.f64 x x) x) x)
(pow x 4)
(.f64 (.f64 (*.f64 x x) x) x)
(pow x 4)
(.f64 (.f64 (*.f64 x x) x) x)
(pow x 4)
(.f64 (.f64 (*.f64 x x) x) x)
(pow x 4)
(.f64 (.f64 (*.f64 x x) x) x)
(* 1/5040 (pow x 4))
(.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/5040 binary64)) x)
(* 1/5040 (pow x 4))
(.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/5040 binary64)) x)
(* 1/5040 (pow x 4))
(.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/5040 binary64)) x)
(* 1/5040 (pow x 4))
(.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/5040 binary64)) x)
(* 1/5040 (pow x 4))
(.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/5040 binary64)) x)
(* 1/5040 (pow x 4))
(.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/5040 binary64)) x)
(* 1/5040 (pow x 4))
(.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/5040 binary64)) x)
(* 1/5040 (pow x 4))
(.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/5040 binary64)) x)
(* 1/5040 (pow x 4))
(.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/5040 binary64)) x)
(* 1/5040 (pow x 4))
(.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/5040 binary64)) x)
(* 1/5040 (pow x 4))
(.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/5040 binary64)) x)
(* 1/5040 (pow x 4))
(.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/5040 binary64)) x)

rewrite204.0ms (2.2%)

Memory

49.2MiB live, 435.7MiB allocated

Rules

4 824×	`lower-*.f32`
4 798×	`lower-*.f64`
4 564×	`lower-/.f32`
4 560×	`lower-/.f64`
4 158×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	471
0	77	429
1	247	385
2	1451	369
0	8175	359

Stop Event

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

Counts

23 → 506

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x #s(literal -1 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)))))
(.f64 (pow.f64 (pow.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x #s(literal -1 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)))) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x #s(literal -1 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)))))
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(fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/128024064000 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal 1/1728000 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/25401600 binary64) (.f64 (.f64 (.f64 x x) x) x) (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x x) #s(literal 1/604800 binary64))))) #s(literal 1/6 binary64))
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) x) x #s(literal 1/6 binary64))
(fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) x) x) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))) (neg.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #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 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) x) #s(literal 1/6 binary64))
(-.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) x) x))) (/.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) x) x) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) x) x)) (-.f64 #s(literal 1/6 binary64) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) x) x))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) x) x) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) x) x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))))
(+.f64 (/.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) x) x) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) x) x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))) (neg.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))))
(+.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64))
(+.f64 #s(literal 1/6 binary64) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) x) x))
(.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1 binary64))
(.f64 (.f64 (*.f64 x x) x) x)
(.f64 (.f64 x x) (*.f64 x x))
(.f64 x (.f64 (*.f64 x x) x))
(.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 x #s(literal 4 binary64))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(.f64 (.f64 #s(literal 1/5040 binary64) (.f64 (.f64 x x) x)) x)
(.f64 (.f64 x #s(literal 1/5040 binary64)) (.f64 (.f64 x x) x))
(.f64 (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (.f64 x x))
(.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/5040 binary64))
(.f64 (.f64 (.f64 x x) x) (.f64 x #s(literal 1/5040 binary64)))
(.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))
(.f64 x (.f64 (.f64 (.f64 x x) x) #s(literal 1/5040 binary64)))
(.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/5040 binary64))))
(.f64 #s(literal 1/5040 binary64) (.f64 (.f64 (.f64 x x) x) x))

eval136.0ms (1.5%)

Memory: -5.9MiB live, 348.0MiB allocated
Compiler: Compiled 38 095 to 2 031 computations (94.7% saved)

prune139.0ms (1.5%)

Memory

20.0MiB live, 414.1MiB allocated

Pruning

25 alts after pruning (22 fresh and 3 done)

	Pruned	Kept	Total
New	889	12	901
Fresh	5	10	15
Picked	3	2	5
Done	0	1	1
Total	897	25	922

Accuracy

100.0%

Counts

922 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(sinh.f64 x)
	57.3%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 (/.f64 (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) x) x) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal -1/36 binary64)) x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))) x) x x))
	82.7%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 (.f64 #s(approx (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x) x x))
	57.6%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (/.f64 (.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) x) (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)) (.f64 x x) #s(literal -1 binary64)) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal -1 binary64))))
▶	69.8%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64))) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
	69.8%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/120 binary64) (.f64 #s(literal 1/5040 binary64) (.f64 x x))) (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64))))) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
	69.8%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
	90.5%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) x) x #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
	57.3%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64))) #s(literal -1/36 binary64)) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))) (.f64 x x) #s(literal 1 binary64)) x))
	94.4%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)))) (.f64 x x) #s(literal 1 binary64)) x))
	94.3%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ ( (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/5040 binary64)) x)) (*.f64 x x) #s(literal 1 binary64)))) x))
▶	94.4%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)))) x))
	48.1%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (/ 1 (/ 1 (+ ( (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1))) (.f64 (.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) x) (.f64 (*.f64 x x) x))) x))
	48.0%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/5040 binary64)) (.f64 x x))) x))
▶	48.0%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/5040 binary64)))) x) x)) x))
	48.0%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (.f64 #s(literal 1/5040 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)))) x))
✓	51.8%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) #s(literal 1 binary64)) x))
	44.3%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) x))
✓	44.1%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/120 binary64))) x))
	44.1%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/120 binary64))) x))
▶	44.1%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/120 binary64) x))) x))
	44.1%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 x x) (.f64 #s(literal 1/120 binary64) (.f64 x x)))) x))
	36.5%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (* x x) 1/6) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))) x))
	44.1%	#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (.f64 (.f64 #s(literal 1/120 binary64) x) (.f64 (.f64 (*.f64 x x) x) x))))
▶	36.9%	#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))))

Compiler

Compiled 993 to 454 computations (54.3% saved)

simplify139.0ms (1.5%)

Memory

-33.0MiB live, 223.3MiB 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 x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64))) (*.f64 x x) #s(literal 1/6 binary64))
cost-diff	0	(fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64))) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64))
cost-diff	0	(.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64))) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
cost-diff	0	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64))) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
cost-diff	0	(.f64 (.f64 (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/5040 binary64)))) x) x)
cost-diff	0	#s(approx (+ (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/5040 binary64)))) x) x))
cost-diff	0	(.f64 #s(approx (+ ( (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/5040 binary64)))) x) x)) x)
cost-diff	0	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/5040 binary64)))) x) x)) x))
cost-diff	0	(.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/120 binary64) x))
cost-diff	0	#s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/120 binary64) x)))
cost-diff	0	(.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/120 binary64) x))) x)
cost-diff	0	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/120 binary64) x))) x))
cost-diff	0	(.f64 (.f64 x x) x)
cost-diff	0	(.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))
cost-diff	0	#s(approx (* (+ (* (* x x) 1/6) 1) x) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))
cost-diff	0	#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))))
cost-diff	0	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)))) x)
cost-diff	0	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)))) x))
cost-diff	128	(-.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))))

Rules

8 372×	`lower-fma.f32`
8 360×	`lower-fma.f64`
3 028×	`lower-*.f32`
2 994×	`lower-*.f64`
1 528×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	656
0	102	644
1	199	583
2	365	552
3	914	534
4	1950	534
5	3945	534
6	6095	534
0	8024	516

Stop Event

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

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)))) x))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)))) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))))
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)))
#s(literal -1 binary64)
(-.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(*.f64 x x)
x
#s(literal 1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))))
#s(approx (* (+ (* (* x x) 1/6) 1) x) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))
(.f64 (.f64 x x) x)
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/120 binary64) x))) x))
(.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/120 binary64) x))) x)
#s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/120 binary64) x)))
(.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/120 binary64) x))
(.f64 (.f64 x x) x)
(*.f64 x x)
x
(*.f64 #s(literal 1/120 binary64) x)
#s(literal 1/120 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/5040 binary64)))) x) x)) x))
(.f64 #s(approx (+ ( (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/5040 binary64)))) x) x)) x)
#s(approx (+ (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/5040 binary64)))) x) x))
(.f64 (.f64 (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/5040 binary64)))) x) x)
(.f64 (.f64 x (.f64 (.f64 x x) (*.f64 x #s(literal 1/5040 binary64)))) x)
(.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/5040 binary64))))
x
(.f64 (.f64 x x) (*.f64 x #s(literal 1/5040 binary64)))
(*.f64 x x)
(*.f64 x #s(literal 1/5040 binary64))
#s(literal 1/5040 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64))) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
(.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64))) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64))) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64))) (*.f64 x x) #s(literal 1/6 binary64))
(/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64)))
(fma.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))
(.f64 (.f64 x x) (*.f64 x x))
(*.f64 x x)
x
#s(literal 1/25401600 binary64)
#s(literal -1/14400 binary64)
(fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal -1/120 binary64))
#s(literal 1/5040 binary64)
#s(literal -1/120 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)

Outputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) x))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)))) x)
(.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))))
(fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)))
#s(literal -1 binary64)
(-.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
(fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64)) x) x #s(literal -1/6 binary64)) (*.f64 x x) #s(literal -1 binary64))
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
(*.f64 x x)
x
#s(literal 1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))))
#s(approx (* (+ (* (* x x) 1/6) 1) x) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))
(.f64 (.f64 x x) x)
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/120 binary64) x))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) x) x)) x))
(.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/120 binary64) x))) x)
(.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) x) x)) x)
#s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/120 binary64) x)))
#s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) x) x))
(.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/120 binary64) x))
(.f64 (.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) x) x)
(.f64 (.f64 x x) x)
(*.f64 x x)
x
(*.f64 #s(literal 1/120 binary64) x)
#s(literal 1/120 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/5040 binary64)))) x) x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/5040 binary64)) x) x) x)) x))
(.f64 #s(approx (+ ( (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/5040 binary64)))) x) x)) x)
(.f64 #s(approx (+ ( (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/5040 binary64)) x) x) x)) x)
#s(approx (+ (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/5040 binary64)))) x) x))
#s(approx (+ (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/5040 binary64)) x) x) x))
(.f64 (.f64 (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/5040 binary64)))) x) x)
(.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/5040 binary64)) x) x) x)
(.f64 (.f64 x (.f64 (.f64 x x) (*.f64 x #s(literal 1/5040 binary64)))) x)
(.f64 (.f64 (.f64 (.f64 (*.f64 x x) x) #s(literal 1/5040 binary64)) x) x)
(.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/5040 binary64))))
(.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/5040 binary64)) x)
x
(.f64 (.f64 x x) (*.f64 x #s(literal 1/5040 binary64)))
(.f64 (.f64 (*.f64 x x) x) #s(literal 1/5040 binary64))
(*.f64 x x)
(*.f64 x #s(literal 1/5040 binary64))
(*.f64 #s(literal 1/5040 binary64) x)
#s(literal 1/5040 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64))) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (fma.f64 (/.f64 x (fma.f64 (.f64 #s(literal 1/5040 binary64) x) x #s(literal -1/120 binary64))) (.f64 (fma.f64 #s(literal 1/25401600 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/14400 binary64)) x) #s(literal 1/6 binary64)) (.f64 (*.f64 x x) x) x))
(.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64))) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 (/.f64 x (fma.f64 (.f64 #s(literal 1/5040 binary64) x) x #s(literal -1/120 binary64))) (.f64 (fma.f64 #s(literal 1/25401600 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/14400 binary64)) x) #s(literal 1/6 binary64)) (.f64 (*.f64 x x) x) x)
(fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64))) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 (/.f64 x (fma.f64 (.f64 #s(literal 1/5040 binary64) x) x #s(literal -1/120 binary64))) (.f64 (fma.f64 #s(literal 1/25401600 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/14400 binary64)) x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64))) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (/.f64 x (fma.f64 (.f64 #s(literal 1/5040 binary64) x) x #s(literal -1/120 binary64))) (.f64 (fma.f64 #s(literal 1/25401600 binary64) (.f64 (.f64 (*.f64 x x) x) x) #s(literal -1/14400 binary64)) x) #s(literal 1/6 binary64))
(/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64)))
(/.f64 (fma.f64 #s(literal 1/25401600 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/14400 binary64)) (fma.f64 (.f64 #s(literal 1/5040 binary64) x) x #s(literal -1/120 binary64)))
(fma.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))
(fma.f64 #s(literal 1/25401600 binary64) (.f64 (.f64 (*.f64 x x) x) x) #s(literal -1/14400 binary64))
(.f64 (.f64 x x) (*.f64 x x))
(.f64 (.f64 (*.f64 x x) x) x)
(*.f64 x x)
x
#s(literal 1/25401600 binary64)
#s(literal -1/14400 binary64)
(fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal -1/120 binary64))
(fma.f64 (*.f64 #s(literal 1/5040 binary64) x) x #s(literal -1/120 binary64))
#s(literal 1/5040 binary64)
#s(literal -1/120 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)

localize438.0ms (4.7%)

Memory

-7.1MiB live, 589.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.109375	(.f64 (.f64 x x) (*.f64 x x))
accuracy	0.2805072470417679	(fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal -1/120 binary64))
accuracy	3.567788537199307	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64))) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
accuracy	20.34859593591828	(/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64)))
accuracy	0.07421875	(.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/5040 binary64))))
accuracy	0.11947250976844201	(.f64 (.f64 x x) (*.f64 x #s(literal 1/5040 binary64)))
accuracy	3.567788537199307	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/5040 binary64)))) x) x)) x))
accuracy	30.4799839396086	#s(approx (+ (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/5040 binary64)))) x) x))
accuracy	0.078125	(*.f64 #s(literal 1/120 binary64) x)
accuracy	0.09765625	(.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/120 binary64) x))
accuracy	6.103213463989869	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/120 binary64) x))) x))
accuracy	30.413718784303434	#s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/120 binary64) x)))
accuracy	0.0625	(.f64 (.f64 x x) x)
accuracy	0.31496815636669473	(.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))
accuracy	11.085335100631367	#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))))
accuracy	29.585816600970553	#s(approx (* (+ (* (* x x) 1/6) 1) x) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))
accuracy	0.19921875	(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
accuracy	0.2766009970417679	(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
accuracy	0.32891807974322373	(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)))
accuracy	3.567788537199307	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)))) x))

Samples

240.0ms	73×	1	valid
65.0ms	135×	0	valid
62.0ms	48×	2	valid

Compiler

Compiled 498 to 62 computations (87.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 331.0ms

ival-mult: 226.0ms (68.2% of total)

ival-add: 27.0ms (8.2% of total)

const: 24.0ms (7.2% of total)

ival-exp: 23.0ms (6.9% of total)

adjust: 15.0ms (4.5% of total)

ival-div: 11.0ms (3.3% of total)

ival-sub: 4.0ms (1.2% of total)

ival-neg: 1.0ms (0.3% of total)

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

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

exact: 0.0ms (0% of total)

series26.0ms (0.3%)

Memory

-11.2MiB live, 69.5MiB allocated

Counts

29 → 348

Calls

Call 1

Inputs
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)))) #<representation binary64>) () ())
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#s(alt #s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64))) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64))) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64))) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x) (patch (.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64))) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x) #<representation binary64>) () ())
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#s(alt (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))) (patch (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) (patch (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/120 binary64) x) (patch (.f64 #s(literal 1/120 binary64) x) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x x) (.f64 x #s(literal 1/5040 binary64))) (patch (.f64 (.f64 x x) (.f64 x #s(literal 1/5040 binary64))) #<representation binary64>) () ())
#s(alt (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/5040 binary64)))) (patch (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/5040 binary64)))) #<representation binary64>) () ())
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#s(alt (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64)) (patch (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x x) (.f64 x x)) (patch (.f64 (.f64 x x) (.f64 x x)) #<representation binary64>) () ())

Outputs
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/6 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)))) #<representation binary64>) () ())) ())
#s(alt (* 1/5040 (pow x 6)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)))) #<representation binary64>) () ())) ())
#s(alt (* 1/5040 (pow x 6)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 x) (#s(alt (-.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)) (patch (-.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)) #<representation binary64>) () ())) ())
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#s(alt (* 1/5040 (pow x 4)) (taylor 0 x) (#s(alt (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/5040 binary64)))) (patch (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/5040 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/5040 (pow x 4)) (taylor 0 x) (#s(alt (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/5040 binary64)))) (patch (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/5040 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/5040 (pow x 4)) (taylor 0 x) (#s(alt (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/5040 binary64)))) (patch (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/5040 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/5040 (pow x 4)) (taylor inf x) (#s(alt (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/5040 binary64)))) (patch (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/5040 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/5040 (pow x 4)) (taylor inf x) (#s(alt (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/5040 binary64)))) (patch (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/5040 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/5040 (pow x 4)) (taylor inf x) (#s(alt (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/5040 binary64)))) (patch (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/5040 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/5040 (pow x 4)) (taylor inf x) (#s(alt (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/5040 binary64)))) (patch (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/5040 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/5040 (pow x 4)) (taylor -inf x) (#s(alt (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/5040 binary64)))) (patch (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/5040 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/5040 (pow x 4)) (taylor -inf x) (#s(alt (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/5040 binary64)))) (patch (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/5040 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/5040 (pow x 4)) (taylor -inf x) (#s(alt (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/5040 binary64)))) (patch (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/5040 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/5040 (pow x 4)) (taylor -inf x) (#s(alt (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/5040 binary64)))) (patch (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/5040 binary64)))) #<representation binary64>) () ())) ())
#s(alt 1/120 (taylor 0 x) (#s(alt (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64))) (patch (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/120 (* 1/5040 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64))) (patch (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/120 (* 1/5040 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64))) (patch (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/120 (* 1/5040 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64))) (patch (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/5040 (pow x 2)) (taylor inf x) (#s(alt (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64))) (patch (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64))) (patch (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64))) (patch (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64))) (patch (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/5040 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64))) (patch (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64))) (patch (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64))) (patch (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64))) (patch (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64))) #<representation binary64>) () ())) ())
#s(alt -1/120 (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64)) (patch (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/5040 (pow x 2)) 1/120) (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64)) (patch (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/5040 (pow x 2)) 1/120) (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64)) (patch (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/5040 (pow x 2)) 1/120) (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64)) (patch (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/5040 (pow x 2)) (taylor inf x) (#s(alt (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64)) (patch (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64)) (patch (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64)) (patch (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64)) (patch (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/5040 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64)) (patch (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64)) (patch (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64)) (patch (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64)) (patch (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 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>) () ())) ())

Calls

87 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(* (+ (* (+ (* (/ (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (+ (* 1/5040 (* x x)) -1/120)) (* x x)) 1/6) (* x x)) 1) x)
0.0ms	x	@	0	(* (* (* x x) x) 1/6)
0.0ms	x	@	-inf	(* 1/120 x)
0.0ms	x	@	-inf	(* (* x x) (* x 1/5040))
0.0ms	x	@	inf	(+ (* (/ (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (+ (* 1/5040 (* x x)) -1/120)) (* x x)) 1/6)

simplify178.0ms (1.9%)

Memory

8.6MiB live, 288.2MiB allocated

Algorithm

1×	egg-herbie

Rules

13 256×	`lower-fma.f64`
13 256×	`lower-fma.f32`
4 460×	`lower-*.f64`
4 460×	`lower-*.f32`
2 388×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	155	3050
1	463	2976
2	1219	2935
3	3309	2928
4	6789	2928
0	8451	2768

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 338

Calls

Call 1

Inputs
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
-1
(- (* -1/6 (pow x 2)) 1)
(- (* (pow x 2) (- (* -1/120 (pow x 2)) 1/6)) 1)
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/5040 (pow x 2)) 1/120)) 1/6)) 1)
(* -1/5040 (pow x 6))
(* -1 (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040))
(* (pow x 6) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(* -1/5040 (pow x 6))
(* -1 (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040))
(* (pow x 6) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))))
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) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 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)))))))
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) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* 1/6 (pow x 2))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (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)
(pow x 3)
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) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 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 (* 1/120 (pow x 2))))))
(* 1/120 (pow x 5))
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/120 (pow x 5))
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(* 1/120 (pow x 4))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/120 (pow x 4))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
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) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 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)))))))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/5040 (pow x 6))
(* 1/5040 (pow x 6))
(* 1/5040 (pow x 6))
(* 1/5040 (pow x 6))
(* 1/5040 (pow x 6))
(* 1/5040 (pow x 6))
(* 1/5040 (pow x 6))
(* 1/5040 (pow x 6))
(* 1/5040 (pow x 6))
(* 1/5040 (pow x 6))
(* 1/5040 (pow x 6))
(* 1/5040 (pow x 6))
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) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 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)))))))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
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))))))
1
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 7/360 (pow x 2)) 1/6)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 7/360 (* -31/15120 (pow x 2)))) 1/6)))
(/ 5040 (pow x 6))
(/ (- 5040 (* 211680 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 5040 (/ 4656960 (pow x 4))) (* 211680 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 5040 (/ 4656960 (pow x 4))) (+ (* 211680 (/ 1 (pow x 2))) (* 43182720 (/ 1 (pow x 6))))) (pow x 6))
(/ 5040 (pow x 6))
(/ (- 5040 (* 211680 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 5040 (/ 4656960 (pow x 4))) (* 211680 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 5040 (/ 4656960 (pow x 4))) (+ (* 211680 (/ 1 (pow x 2))) (* 43182720 (/ 1 (pow x 6))))) (pow x 6))
1/120
(+ 1/120 (* 1/5040 (pow x 2)))
(+ 1/120 (* 1/5040 (pow x 2)))
(+ 1/120 (* 1/5040 (pow x 2)))
(* 1/5040 (pow x 2))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* 1/5040 (pow x 2))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* 1/6 x)
(* x (+ 1/6 (* 1/120 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(* x (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(* 1/5040 (pow x 5))
(* (pow x 5) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 5) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* 1/5040 (pow x 5))
(* (pow x 5) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/5040 (pow x 3))
(* 1/5040 (pow x 3))
(* 1/5040 (pow x 3))
(* 1/5040 (pow x 3))
(* 1/5040 (pow x 3))
(* 1/5040 (pow x 3))
(* 1/5040 (pow x 3))
(* 1/5040 (pow x 3))
(* 1/5040 (pow x 3))
(* 1/5040 (pow x 3))
(* 1/5040 (pow x 3))
(* 1/5040 (pow x 3))
(* 1/5040 (pow x 4))
(* 1/5040 (pow x 4))
(* 1/5040 (pow x 4))
(* 1/5040 (pow x 4))
(* 1/5040 (pow x 4))
(* 1/5040 (pow x 4))
(* 1/5040 (pow x 4))
(* 1/5040 (pow x 4))
(* 1/5040 (pow x 4))
(* 1/5040 (pow x 4))
(* 1/5040 (pow x 4))
(* 1/5040 (pow x 4))
1/120
(+ 1/120 (* 1/5040 (pow x 2)))
(+ 1/120 (* 1/5040 (pow x 2)))
(+ 1/120 (* 1/5040 (pow x 2)))
(* 1/5040 (pow x 2))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* 1/5040 (pow x 2))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
-1/120
(- (* 1/5040 (pow x 2)) 1/120)
(- (* 1/5040 (pow x 2)) 1/120)
(- (* 1/5040 (pow x 2)) 1/120)
(* 1/5040 (pow x 2))
(* (pow x 2) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* 1/5040 (pow x 2))
(* (pow x 2) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/5040 (* 1/120 (/ 1 (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)

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

rewrite229.0ms (2.5%)

Memory

28.5MiB live, 454.9MiB allocated

Rules

6 258×	`lower-fma.f32`
6 248×	`lower-fma.f64`
4 112×	`lower-*.f32`
4 078×	`lower-*.f64`
3 948×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	567
0	102	496
1	404	410
2	2500	410
0	8519	402

Stop Event

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

Counts

29 → 537

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))))
(-.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)))) x))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)))) x)
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))))
#s(approx (* (+ (* (* x x) 1/6) 1) x) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))
(.f64 (.f64 x x) x)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/120 binary64) x))) x))
(.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/120 binary64) x))) x)
#s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/120 binary64) x)))
(.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/120 binary64) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/5040 binary64)))) x) x)) x))
(.f64 #s(approx (+ ( (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/5040 binary64)))) x) x)) x)
#s(approx (+ (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/5040 binary64)))) x) x))
(.f64 (.f64 (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/5040 binary64)))) x) x)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64))) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
(.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64))) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64))) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64))) (*.f64 x x) #s(literal 1/6 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(*.f64 #s(literal 1/120 binary64) x)
(.f64 (.f64 x x) (*.f64 x #s(literal 1/5040 binary64)))
(.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/5040 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64)))
(fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal -1/120 binary64))
(.f64 (.f64 x x) (*.f64 x x))

Outputs
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x) x) (.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x #s(literal -1 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x) x) (.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x #s(literal -1 binary64)) #s(literal 1 binary64))))
(.f64 (pow.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)))) #s(literal -1 binary64))
(.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))) #s(literal 1 binary64))
(.f64 (-.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)))))
(.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)))
(.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))))
(pow.f64 (exp.f64 (neg.f64 (log1p.f64 (neg.f64 (.f64 (neg.f64 x) (.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x)))))) #s(literal -1 binary64))
(pow.f64 (.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))) #s(literal -1 binary64))
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(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/128024064000 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x)) #s(literal 1/1728000 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (.f64 (.f64 (.f64 x x) x) x) (+.f64 #s(literal 1/14400 binary64) (.f64 (*.f64 x x) #s(literal 1/604800 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/25401600 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/14400 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/128024064000 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal -1/1728000 binary64))) (neg.f64 (+.f64 #s(literal 1/14400 binary64) (-.f64 (.f64 #s(literal 1/25401600 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (*.f64 x x) #s(literal -1/604800 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/128024064000 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal -1/1728000 binary64))) (neg.f64 (fma.f64 #s(literal 1/25401600 binary64) (.f64 (.f64 (.f64 x x) x) x) (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x x) #s(literal -1/604800 binary64))))))
(/.f64 (fma.f64 (.f64 #s(literal 1/128024064000 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal -1/1728000 binary64)) (+.f64 #s(literal 1/14400 binary64) (-.f64 (.f64 #s(literal 1/25401600 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (*.f64 x x) #s(literal -1/604800 binary64)))))
(/.f64 (fma.f64 (.f64 #s(literal 1/128024064000 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal -1/1728000 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (.f64 (.f64 (.f64 x x) x) x) (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x x) #s(literal -1/604800 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/25401600 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/14400 binary64))) (neg.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64))))
(/.f64 (fma.f64 #s(literal 1/25401600 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/14400 binary64)) (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/14400 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/25401600 binary64) (.f64 (.f64 (.f64 x x) x) x) (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x x) #s(literal -1/604800 binary64)))) (fma.f64 (.f64 #s(literal 1/128024064000 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal -1/1728000 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/14400 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/25401600 binary64) (.f64 (.f64 (.f64 x x) x) x) (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x x) #s(literal -1/604800 binary64)))) (fma.f64 (.f64 #s(literal 1/128024064000 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal -1/1728000 binary64))))
(fma.f64 (*.f64 #s(literal 1/5040 binary64) x) x #s(literal -1/120 binary64))
(fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal -1/120 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))
(fma.f64 x (*.f64 #s(literal 1/5040 binary64) x) #s(literal -1/120 binary64))
(-.f64 (/.f64 #s(literal 1/14400 binary64) (-.f64 #s(literal -1/120 binary64) (.f64 (.f64 #s(literal 1/5040 binary64) x) x))) (/.f64 (.f64 #s(literal 1/25401600 binary64) (.f64 (.f64 (.f64 x x) x) x)) (-.f64 #s(literal -1/120 binary64) (.f64 (.f64 #s(literal 1/5040 binary64) x) x))))
(-.f64 (/.f64 (.f64 (.f64 #s(literal 1/128024064000 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x)) (fma.f64 #s(literal 1/25401600 binary64) (.f64 (.f64 (.f64 x x) x) x) (+.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x x) #s(literal 1/604800 binary64))))) (/.f64 #s(literal 1/1728000 binary64) (fma.f64 #s(literal 1/25401600 binary64) (.f64 (.f64 (.f64 x x) x) x) (+.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x x) #s(literal 1/604800 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)))) (neg.f64 (fma.f64 (.f64 #s(literal 1/5040 binary64) x) x #s(literal -1/120 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 #s(literal 1/645241282560000 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 x x) x) x))) (fma.f64 #s(literal 1/25401600 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/14400 binary64))) (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64))) (/.f64 (/.f64 #s(literal 1/207360000 binary64) (fma.f64 #s(literal 1/25401600 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/14400 binary64))) (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64))))
(-.f64 (/.f64 (.f64 #s(literal 1/25401600 binary64) (.f64 (.f64 (.f64 x x) x) x)) (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64))) (/.f64 #s(literal 1/14400 binary64) (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64))))
(-.f64 (.f64 (.f64 #s(literal 1/5040 binary64) x) x) #s(literal 1/120 binary64))
(+.f64 (.f64 (.f64 #s(literal 1/5040 binary64) x) x) #s(literal -1/120 binary64))
(+.f64 #s(literal -1/120 binary64) (.f64 (.f64 #s(literal 1/5040 binary64) x) x))
(.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1 binary64))
(.f64 (.f64 (*.f64 x x) x) x)
(.f64 (.f64 x x) (*.f64 x x))
(.f64 x (.f64 (*.f64 x x) x))
(.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x))
(pow.f64 (.f64 (.f64 (*.f64 x x) x) x) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 x #s(literal 4 binary64))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))

eval146.0ms (1.6%)

Memory: 2.2MiB live, 402.2MiB allocated
Compiler: Compiled 32 645 to 2 614 computations (92% saved)

prune158.0ms (1.7%)

Memory

2.0MiB live, 519.2MiB allocated

Pruning

28 alts after pruning (22 fresh and 6 done)

	Pruned	Kept	Total
New	891	6	897
Fresh	1	16	17
Picked	2	3	5
Done	0	3	3
Total	894	28	922

Accuracy

100.0%

Counts

922 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(sinh.f64 x)
	57.3%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 (/.f64 (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) x) x) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal -1/36 binary64)) x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))) x) x x))
	82.7%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 (.f64 #s(approx (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x) x x))
	57.6%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (/.f64 (.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) x) (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)) (.f64 x x) #s(literal -1 binary64)) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal -1 binary64))))
	94.4%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (/.f64 x (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)))))
	70.2%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/25401600 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/14400 binary64)) (/.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/5040 binary64) x) x #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
	43.5%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) #s(approx (+ (* 1/5040 (* x x)) -1/120) (.f64 #s(literal 1/5040 binary64) (.f64 x x)))) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
	56.9%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/25401600 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/14400 binary64)) x) (fma.f64 #s(literal 1/25401600 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/14400 binary64))) (.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
	70.2%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (fma.f64 (/.f64 x (fma.f64 (.f64 #s(literal 1/5040 binary64) x) x #s(literal -1/120 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/25401600 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/14400 binary64)))) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
	69.8%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/120 binary64) (.f64 #s(literal 1/5040 binary64) (.f64 x x))) (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64))))) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
	69.8%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
	90.5%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) x) x #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
	94.4%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)))) (.f64 x x) #s(literal 1 binary64)) x))
	94.3%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ ( (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/5040 binary64)) x)) (*.f64 x x) #s(literal 1 binary64)))) x))
	48.1%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (/ 1 (/ 1 (+ ( (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1))) (.f64 (.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) x) (.f64 (*.f64 x x) x))) x))
	48.0%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/5040 binary64)) (.f64 x x))) x))
✓	48.0%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/5040 binary64)))) x) x)) x))
	48.0%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (.f64 #s(literal 1/5040 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)))) x))
✓	51.8%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) #s(literal 1 binary64)) x))
	44.3%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) x))
✓	44.1%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/120 binary64))) x))
	44.1%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/120 binary64))) x))
✓	44.1%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/120 binary64) x))) x))
	44.1%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 x x) (.f64 #s(literal 1/120 binary64) (.f64 x x)))) x))
	36.5%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (* x x) 1/6) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))) x))
	44.1%	#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (.f64 (.f64 #s(literal 1/120 binary64) x) (.f64 (.f64 (*.f64 x x) x) x))))
✓	36.9%	#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))))
	36.5%	#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (.f64 (.f64 x x) (*.f64 #s(literal 1/6 binary64) x))))

Compiler

Compiled 1 414 to 446 computations (68.5% saved)

regimes35.0ms (0.4%)

Memory

-1.7MiB live, 88.4MiB allocated

Counts

43 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (.f64 (.f64 x x) (*.f64 #s(literal 1/6 binary64) x))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (* x x) 1/6) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 (.f64 #s(approx (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x) x x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (.f64 (.f64 #s(literal 1/120 binary64) x) (.f64 (.f64 (*.f64 x x) x) x))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 x x) (.f64 #s(literal 1/120 binary64) (.f64 x x)))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/120 binary64) x))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/120 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/120 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 #s(approx (+ ( 1/120 (* x x)) 1/6) (.f64 #s(literal 1/120 binary64) (.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) x) x #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (.f64 #s(literal 1/5040 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/5040 binary64)))) x) x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/5040 binary64)) (.f64 x x))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/5040 binary64)) x) x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) x) (.f64 (*.f64 x x) x))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (/ 1 (/ 1 (+ ( (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1))) (.f64 (.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) x) (.f64 (*.f64 x x) x))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/5040 binary64))) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (.f64 (.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) x) x)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x) x x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (/.f64 x (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ ( (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/5040 binary64)) x)) (*.f64 x x) #s(literal 1 binary64)))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)))) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) #s(approx (+ (* 1/5040 (* x x)) -1/120) (.f64 #s(literal 1/5040 binary64) (.f64 x x)))) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64))) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/25401600 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/14400 binary64)) (/.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/5040 binary64) x) x #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/120 binary64) (.f64 #s(literal 1/5040 binary64) (.f64 x x))) (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64))))) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (/.f64 (.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) x) (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)) (.f64 x x) #s(literal -1 binary64)) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal -1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (fma.f64 (/.f64 x (fma.f64 (.f64 #s(literal 1/5040 binary64) x) x #s(literal -1/120 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/25401600 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/14400 binary64)))) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/25401600 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/14400 binary64)) x) (fma.f64 #s(literal 1/25401600 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/14400 binary64))) (.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64))) #s(literal -1/36 binary64)) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 (/.f64 (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) x) x) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal -1/36 binary64)) x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))) x) x x))
(sinh.f64 x)
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))

Outputs
(sinh.f64 x)

Calls

3 calls:

13.0ms	x
10.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
9.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
100.0%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes33.0ms (0.4%)

Memory

3.1MiB live, 81.9MiB allocated

Counts

41 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (.f64 (.f64 x x) (*.f64 #s(literal 1/6 binary64) x))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (* x x) 1/6) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 (.f64 #s(approx (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x) x x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (.f64 (.f64 #s(literal 1/120 binary64) x) (.f64 (.f64 (*.f64 x x) x) x))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 x x) (.f64 #s(literal 1/120 binary64) (.f64 x x)))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/120 binary64) x))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/120 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/120 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 #s(approx (+ ( 1/120 (* x x)) 1/6) (.f64 #s(literal 1/120 binary64) (.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) x) x #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (.f64 #s(literal 1/5040 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/5040 binary64)))) x) x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/5040 binary64)) (.f64 x x))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/5040 binary64)) x) x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) x) (.f64 (*.f64 x x) x))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (/ 1 (/ 1 (+ ( (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1))) (.f64 (.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) x) (.f64 (*.f64 x x) x))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/5040 binary64))) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (.f64 (.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) x) x)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x) x x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (/.f64 x (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ ( (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/5040 binary64)) x)) (*.f64 x x) #s(literal 1 binary64)))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)))) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) #s(approx (+ (* 1/5040 (* x x)) -1/120) (.f64 #s(literal 1/5040 binary64) (.f64 x x)))) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64))) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/25401600 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/14400 binary64)) (/.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/5040 binary64) x) x #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/120 binary64) (.f64 #s(literal 1/5040 binary64) (.f64 x x))) (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64))))) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (/.f64 (.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) x) (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)) (.f64 x x) #s(literal -1 binary64)) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal -1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (fma.f64 (/.f64 x (fma.f64 (.f64 #s(literal 1/5040 binary64) x) x #s(literal -1/120 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/25401600 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/14400 binary64)))) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/25401600 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/14400 binary64)) x) (fma.f64 #s(literal 1/25401600 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/14400 binary64))) (.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64))) #s(literal -1/36 binary64)) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 (/.f64 (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) x) x) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal -1/36 binary64)) x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))) x) x x))

Outputs

#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))

Calls

3 calls:

11.0ms	x
10.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
10.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
94.4%	1	`x`
94.4%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
94.4%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes21.0ms (0.2%)

Memory

-13.5MiB live, 67.1MiB allocated

Counts

24 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

8.0ms	x
6.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
6.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
94.3%	1	`x`
94.3%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
94.3%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes20.0ms (0.2%)

Memory

19.1MiB live, 57.7MiB allocated

Counts

22 → 2

Calls

Call 1

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

Outputs

#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)) x))

#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)))) x))

Calls

3 calls:

7.0ms	x
6.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
5.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
94.4%	2	`x`
94.4%	2	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
94.4%	2	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes14.0ms (0.2%)

Memory

1.1MiB live, 40.5MiB allocated

Counts

16 → 1

Calls

Call 1

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

Outputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))

Calls

3 calls:

5.0ms	x
4.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
4.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
90.5%	1	`x`
90.5%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
90.5%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes13.0ms (0.1%)

Memory

-0.6MiB live, 38.8MiB allocated

Counts

14 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	x
4.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
4.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
90.3%	1	`x`
90.3%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
90.3%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes13.0ms (0.1%)

Memory

-7.2MiB live, 34.7MiB allocated

Counts

13 → 2

Calls

Call 1

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

Outputs

#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)) x))

#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (*.f64 (*.f64 #s(literal 1/120 binary64) x) (*.f64 (*.f64 (*.f64 x x) x) x))))

Calls

3 calls:

5.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
4.0ms	x
3.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
90.5%	2	`x`
90.5%	2	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
90.5%	2	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes8.0ms (0.1%)

Memory

-14.2MiB live, 25.1MiB allocated

Counts

7 → 1

Calls

Call 1

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

Outputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)) x))

Calls

3 calls:

3.0ms	x
3.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
2.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
82.7%	1	`x`
82.7%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
82.7%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes6.0ms (0.1%)

Memory

17.7MiB live, 17.7MiB allocated

Counts

4 → 2

Calls

Call 1

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

Outputs

#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) #s(literal 1 binary64)) x))

#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64))))

Calls

3 calls:

2.0ms	x
2.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
2.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
82.9%	2	`x`
82.9%	2	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
82.9%	2	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes5.0ms (0.1%)

Memory

-26.1MiB live, 13.3MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) #s(literal 1 binary64)) x))

#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) x))))

Outputs

#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) #s(literal 1 binary64)) x))

#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) x))))

Calls

3 calls:

2.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
2.0ms	x
1.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
82.5%	2	`x`
82.5%	2	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
82.5%	2	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes4.0ms (0%)

Memory

14.0MiB live, 14.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

1.0ms	x
1.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
1.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
51.8%	1	`x`
51.8%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
51.8%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.00016581676283478064	+inf

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.00016581676283478064	+inf

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.00016581676283478064	+inf

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.00016581676283478064	+inf

Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify10.0ms (0.1%)

Memory

-15.7MiB live, 23.5MiB allocated

Algorithm

1×	egg-herbie

Rules

40×	`*-commutative_binary64`
6×	`+-commutative_binary64`
6×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	434
1	107	434
2	112	434
3	115	434
4	116	434

Stop Event

1×

saturated

Calls

Call 1

Inputs
(sinh.f64 x)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/5040 binary64))) (*.f64 x x) #s(literal 1 binary64)) x))
(if (<=.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)) x)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (.f64 #s(literal 1/5040 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)))) x)))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 #s(approx (+ ( 1/120 (* x x)) 1/6) (.f64 #s(literal 1/120 binary64) (.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) x))
(if (<=.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)) x)) #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (.f64 (.f64 #s(literal 1/120 binary64) x) (.f64 (.f64 (*.f64 x x) x) x)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)) x))
(if (<=.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) #s(literal 1 binary64)) x)) #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))))
(if (<=.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) #s(literal 1 binary64)) x)) #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (.f64 (.f64 x x) (*.f64 #s(literal 1/6 binary64) x)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) #s(literal 1 binary64)) x))

Outputs
(sinh.f64 x)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/5040 binary64))) (*.f64 x x) #s(literal 1 binary64)) x))
(if (<=.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)) x)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (.f64 #s(literal 1/5040 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)))) x)))
(if (<=.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)) x)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) #s(literal 1/5040 binary64))) x)))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 #s(approx (+ ( 1/120 (* x x)) 1/6) (.f64 #s(literal 1/120 binary64) (.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) x))
(if (<=.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)) x)) #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (.f64 (.f64 #s(literal 1/120 binary64) x) (.f64 (.f64 (*.f64 x x) x) x)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)) x))
(if (<=.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) #s(literal 1 binary64)) x)) #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))))
(if (<=.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) #s(literal 1 binary64)) x)) #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (.f64 (.f64 x x) (*.f64 #s(literal 1/6 binary64) x)))))
(if (<=.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) #s(literal 1 binary64)) x)) #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (.f64 (.f64 #s(literal 1/6 binary64) x) (*.f64 x x)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) #s(literal 1 binary64)) x))

soundness1.8s (18.8%)

Memory

-7.9MiB live, 1 198.2MiB allocated

Rules

18 510×	`lower-fma.f64`
18 510×	`lower-fma.f32`
16 208×	`lower-fma.f64`
16 208×	`lower-fma.f32`
12 198×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	64	567
0	102	496
1	404	410
2	2500	410
0	8519	402
0	49	471
0	77	429
1	247	385
2	1451	369
0	8175	359
0	7	21
0	12	17
1	47	13
2	294	13
0	3072	13
0	25	166
0	42	148
1	175	148
2	1258	148
0	8258	148
0	99	1484
1	317	1430
2	823	1417
3	3268	1414
4	6875	1414
0	8187	1303
0	74	323
1	218	322
2	536	316
3	1389	316
4	2118	316
5	3210	316
6	3762	316
7	5168	316
8	6336	316
9	7581	316
0	8147	294
0	129	2732
1	403	2732
2	1045	2664
3	2812	2664
4	5857	2664
0	8208	2486

Stop Event

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

Compiler

Compiled 486 to 213 computations (56.2% saved)

preprocess232.0ms (2.5%)

Memory: 6.7MiB live, 204.3MiB allocated
Remove: (negabs x)
Compiler: Compiled 412 to 104 computations (74.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	9	16
1	32	16
2	76	16
3	173	16
4	346	16
5	508	16
6	531	16
0	7	8
0	12	8
1	23	8
2	40	8
3	67	8
4	109	8
5	168	8
6	227	8
7	349	8
8	410	8
9	419	8
0	419	8

Iter	Nodes	Cost
0	7	23
0	12	23
1	23	23
2	40	23
3	67	23
4	109	23
5	168	23
6	227	23
7	349	23
8	410	23
9	419	23
0	419	23

Iter	Nodes	Cost
0	9	16
1	32	16
2	76	16
3	173	16
4	346	16
5	508	16
6	531	16
0	7	8
0	12	8
1	23	8
2	40	8
3	67	8
4	109	8
5	168	8
6	227	8
7	349	8
8	410	8
9	419	8
0	419	8

Iter	Nodes	Cost
0	7	23
0	12	23
1	23	23
2	40	23
3	67	23
4	109	23
5	168	23
6	227	23
7	349	23
8	410	23
9	419	23
0	419	23

start0.0ms (0%)

analyze0.0ms (0%)

sample1.8s (19.1%)

explain137.0ms (1.5%)

preprocess36.0ms (0.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify16.0ms (0.2%)

localize57.0ms (0.6%)

series3.0ms (0%)

simplify213.0ms (2.3%)

rewrite101.0ms (1.1%)

eval109.0ms (1.2%)

prune49.0ms (0.5%)

simplify372.0ms (4%)

localize143.0ms (1.5%)

series134.0ms (1.4%)

simplify279.0ms (3%)

rewrite380.0ms (4.1%)

eval301.0ms (3.2%)

prune297.0ms (3.2%)

simplify412.0ms (4.4%)

localize336.0ms (3.6%)

series19.0ms (0.2%)

simplify186.0ms (2%)

rewrite204.0ms (2.2%)

eval136.0ms (1.5%)

prune139.0ms (1.5%)

simplify139.0ms (1.5%)

localize438.0ms (4.7%)

series26.0ms (0.3%)

simplify178.0ms (1.9%)

rewrite229.0ms (2.5%)

eval146.0ms (1.6%)

prune158.0ms (1.7%)

regimes35.0ms (0.4%)

regimes33.0ms (0.4%)

regimes21.0ms (0.2%)

regimes20.0ms (0.2%)

regimes14.0ms (0.2%)

regimes13.0ms (0.1%)

regimes13.0ms (0.1%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify10.0ms (0.1%)

soundness1.8s (18.8%)

preprocess232.0ms (2.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	9	16
1	32	16
2	76	16
3	173	16
4	346	16
5	508	16
6	531	16
0	7	8
0	12	8
1	23	8
2	40	8
3	67	8
4	109	8
5	168	8
6	227	8
7	349	8
8	410	8
9	419	8
0	419	8

Iter	Nodes	Cost
0	7	23
0	12	23
1	23	23
2	40	23
3	67	23
4	109	23
5	168	23
6	227	23
7	349	23
8	410	23
9	419	23
0	419	23