Metrics for Hyperbolic sine

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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)

sample1.5s (13.5%)

Memory

4.4MiB live, 2 908.9MiB allocated

Samples

631.0ms	1 515×	2	valid
411.0ms	2 449×	1	valid
219.0ms	4 292×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.0s

ival-exp: 754.0ms (71.8% of total)

ival-div: 115.0ms (11% of total)

ival-sub: 68.0ms (6.5% of total)

adjust: 65.0ms (6.2% of total)

ival-neg: 33.0ms (3.1% of total)

ival-true: 6.0ms (0.6% of total)

exact: 5.0ms (0.5% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

explain134.0ms (1.2%)

Memory

-0.1MiB live, 360.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
127	0	-	-	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
0	0	-	-	`#s(literal 2 binary64)`
0	0	-	-	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
0	0	-	-	`(exp.f64 x)`
0	1	(-348.4643640328447)	-	`(exp.f64 (neg.f64 x))`
0	0	-	-	`(neg.f64 x)`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`	cancellation	127	0
`exp.f64`	`(exp.f64 (neg.f64 x))`	sensitivity	1	0

Confusion

	Predicted +	Predicted -
+	127	0
-	1	128

Precision

0.9921875

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	127	0	0
-	1	0	128

Precision?

0.9921875

Recall?

1.0

Freqs

test

number	freq
0	128
1	128

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

35.0ms	90×	2	valid
26.0ms	154×	1	valid
17.0ms	268×	0	valid

Compiler

Compiled 59 to 25 computations (57.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-exp: 42.0ms (70.4% of total)

ival-div: 6.0ms (10.1% of total)

adjust: 4.0ms (6.7% of total)

ival-sub: 4.0ms (6.7% of total)

ival-neg: 2.0ms (3.4% of total)

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

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

exact: 0.0ms (0% of total)

preprocess39.0ms (0.3%)

Memory

1.5MiB live, 86.4MiB 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 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))

Symmetry

(negabs x)

Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB 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
▶	54.6%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify18.0ms (0.2%)

Memory

0.7MiB live, 39.8MiB 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 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 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)

localize50.0ms (0.4%)

Memory

-4.5MiB live, 115.1MiB 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	29.050049383024028	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Samples

22.0ms	45×	2	valid
12.0ms	77×	1	valid
7.0ms	134×	0	valid

Compiler

Compiled 25 to 9 computations (64% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-exp: 22.0ms (70.4% of total)

ival-div: 3.0ms (9.6% of total)

adjust: 3.0ms (9.6% of total)

ival-sub: 2.0ms (6.4% of total)

ival-neg: 1.0ms (3.2% of total)

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

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

exact: 0.0ms (0% of total)

series3.0ms (0%)

Memory

7.0MiB live, 7.0MiB 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	@	-inf	(/ (- (exp x) (exp (neg x))) 2)
0.0ms	x	@	0	(/ (- (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)))

simplify336.0ms (2.9%)

Memory

6.5MiB live, 569.4MiB 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))))
(fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(* 1/2 (- (exp x) (exp (neg x))))
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal -1/2 binary64))
(* 1/2 (- (exp x) (exp (neg x))))
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal -1/2 binary64))
(* 1/2 (- (exp x) (exp (neg x))))
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal -1/2 binary64))
(* 1/2 (- (exp x) (exp (neg x))))
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal -1/2 binary64))
(* 1/2 (- (exp x) (exp (* -1 x))))
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal -1/2 binary64))
(* 1/2 (- (exp x) (exp (* -1 x))))
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal -1/2 binary64))
(* 1/2 (- (exp x) (exp (* -1 x))))
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal -1/2 binary64))
(* 1/2 (- (exp x) (exp (* -1 x))))
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal -1/2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 1/3 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(- (exp x) (exp (neg x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (exp (neg x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (exp (neg x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (exp (neg x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(exp (neg x))
(exp.f64 (neg.f64 x))
(exp (neg x))
(exp.f64 (neg.f64 x))
(exp (neg x))
(exp.f64 (neg.f64 x))
(exp (neg x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(* -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)

rewrite143.0ms (1.3%)

Memory

-13.1MiB live, 267.0MiB 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 (exp.f64 x) #s(literal 1/2 binary64)) (.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)))
(+.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) (.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64))))
(+.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 (neg.f64 x)))))
(+.f64 (.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)) (.f64 (exp.f64 x) #s(literal 1/2 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 (neg.f64 x)))) (.f64 (exp.f64 x) #s(literal 1/2 binary64)))
(+.f64 (.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x))) #s(literal -1 binary64)))
(-.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (sinh.f64 x)))
(-.f64 (/.f64 (/.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))))) #s(literal 2 binary64)) (/.f64 (/.f64 (exp.f64 (.f64 x #s(literal -3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))))) #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 x x)) (.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64)) (/.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64)))
(-.f64 (/.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64))) (/.f64 (exp.f64 (.f64 x #s(literal -3 binary64))) (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64))))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (.f64 #s(literal 4 binary64) (cosh.f64 x))) (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (.f64 #s(literal 4 binary64) (cosh.f64 x))))
(-.f64 (/.f64 (.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 4 binary64)))
(-.f64 (/.f64 (.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 (neg.f64 x) x)) #s(literal 1/4 binary64) #s(literal 1/4 binary64)))) (/.f64 (.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 (neg.f64 x) x)) #s(literal 1/4 binary64) #s(literal 1/4 binary64)))))
(-.f64 (/.f64 (.f64 (exp.f64 (+.f64 x x)) #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x)))) (/.f64 (.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x)))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 (neg.f64 x)))))
(fma.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64) (*.f64 (exp.f64 x) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 (exp.f64 x) #s(literal 1/2 binary64)) (.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 (exp.f64 x) #s(literal 1/2 binary64)) (.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 (exp.f64 x) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 (neg.f64 x)))))
(fma.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64) (.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 x) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 x) (.f64 #s(literal 1 binary64) (.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 x) (*.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 (neg.f64 x)))))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 x) #s(literal 1/2 binary64)))
(fma.f64 (neg.f64 (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64) (*.f64 (exp.f64 x) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1 binary64) (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (.f64 (exp.f64 x) #s(literal 1/2 binary64)))
(fma.f64 (neg.f64 (exp.f64 x)) #s(literal -1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)))
(fma.f64 (neg.f64 (exp.f64 x)) #s(literal -1/2 binary64) (.f64 #s(literal 1 binary64) (.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64))))
(fma.f64 (neg.f64 (exp.f64 x)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 (neg.f64 x)))))
(neg.f64 (neg.f64 (sinh.f64 x)))
(sinh.f64 x)
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (fma.f64 (exp.f64 x) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (exp.f64 (+.f64 x x)) #s(literal 1/4 binary64) (fma.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1/4 binary64) #s(literal 1/4 binary64))) (-.f64 (.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal 1/8 binary64)) (.f64 (exp.f64 (.f64 x #s(literal -3 binary64))) #s(literal 1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (sinh.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))) (.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (sinh.f64 x))))
(/.f64 (*.f64 (sinh.f64 x) #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 x #s(literal -3 binary64)))) (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64)))
(/.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 x #s(literal -3 binary64)))) (*.f64 #s(literal -2 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))))))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sinh.f64 x)))
(/.f64 (.f64 (.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)) (*.f64 #s(literal 4 binary64) (cosh.f64 x)))
(/.f64 (.f64 (.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)) (.f64 #s(literal -2 binary64) (.f64 #s(literal -2 binary64) (cosh.f64 x))))
(/.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 x)))) #s(literal 4 binary64))
(/.f64 (neg.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 x #s(literal -3 binary64))))) (neg.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 x #s(literal -3 binary64))))) (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 x #s(literal -3 binary64))))) (*.f64 #s(literal 2 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))))))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x))) (neg.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x))))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x))) (.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x))) (.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (cosh.f64 x))))
(/.f64 (-.f64 (exp.f64 (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) (exp.f64 (.f64 (.f64 x #s(literal -3 binary64)) #s(literal 3 binary64)))) (.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64)) (+.f64 (exp.f64 (.f64 (+.f64 x x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 (neg.f64 x) x) #s(literal 3 binary64)))))))
(/.f64 (-.f64 (exp.f64 (.f64 (+.f64 x x) #s(literal 3 binary64))) (exp.f64 (.f64 (-.f64 (neg.f64 x) x) #s(literal 3 binary64)))) (.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64)) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))))
(/.f64 (-.f64 (exp.f64 (.f64 (+.f64 x x) #s(literal 3 binary64))) (exp.f64 (.f64 (-.f64 (neg.f64 x) x) #s(literal 3 binary64)))) (.f64 (.f64 #s(literal 4 binary64) (cosh.f64 x)) (+.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x (+.f64 x x))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) (-.f64 (neg.f64 x) x)))))))
(/.f64 (-.f64 (.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #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 (neg.f64 x) x)) #s(literal 1/4 binary64) #s(literal 1/4 binary64))))
(/.f64 (-.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x (+.f64 x x))) (exp.f64 (fma.f64 x #s(literal -2 binary64) (-.f64 (neg.f64 x) x)))) (.f64 (.f64 #s(literal 4 binary64) (cosh.f64 x)) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (sinh.f64 x)) (.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
(/.f64 (-.f64 (.f64 (exp.f64 x) (.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 (exp.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (exp.f64 x) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (neg.f64 (exp.f64 (neg.f64 x))))) #s(literal -4 binary64))
(/.f64 (-.f64 #s(literal 2 binary64) (.f64 (.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))) (.f64 (.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64)))
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(*.f64 #s(literal -2 binary64) (neg.f64 (sinh.f64 x)))
(.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))))))
(.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))) (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))))))
(.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))) (.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))))))
(.f64 #s(literal 1/2 binary64) (.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (sinh.f64 x) #s(literal -2 binary64)))
(.f64 (.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))
(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x))))
(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))))
(.f64 (cosh.f64 x) (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) (cosh.f64 x)))
(.f64 #s(literal 4 binary64) (.f64 (sinh.f64 x) #s(literal 1/2 binary64)))
(.f64 (neg.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))))))
(.f64 (neg.f64 (.f64 (.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (cosh.f64 x))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))))) (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))))
(.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)))
(.f64 (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 x) #s(literal -2 binary64))) #s(literal -1/2 binary64))
(.f64 (/.f64 (.f64 (.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)) (.f64 (.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x))) (.f64 #s(literal 2 binary64) (sinh.f64 x)))
(.f64 (/.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 x #s(literal -3 binary64)))) (+.f64 (exp.f64 (.f64 (+.f64 x x) #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 3 binary64)))) (-.f64 (+.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x (+.f64 x x))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64))) (fma.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)) #s(literal 1 binary64))))
(.f64 (/.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) (-.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x (+.f64 x x))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64)))) (-.f64 (expm1.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))))
(.f64 (/.f64 (.f64 (.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))) (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (-.f64 (neg.f64 x) x))))
(exp.f64 x)
(/.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(/.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(exp.f64 (neg.f64 x))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) x))
(-.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 (neg.f64 x))))
(neg.f64 (neg.f64 (exp.f64 (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(pow.f64 (exp.f64 x) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) x)
(*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 x))))
(*.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)))
(*.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))))
(log.f64 (exp.f64 (neg.f64 x)))
(+.f64 (neg.f64 x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (neg.f64 x))
(-.f64 #s(literal 0 binary64) x)
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (exp.f64 x))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 x x)) (/.f64 (.f64 x (.f64 x x)) (.f64 x x)))
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 x x) x))
(fma.f64 x #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 x (log.f64 (exp.f64 #s(literal -1 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64))
(fma.f64 (neg.f64 (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(neg.f64 x)
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (neg.f64 (.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (*.f64 x x))))
(/.f64 (neg.f64 (.f64 x (.f64 x x))) (*.f64 x x))
(/.f64 (neg.f64 (*.f64 x x)) x)
(/.f64 (neg.f64 (neg.f64 (.f64 x (.f64 x x)))) (neg.f64 (*.f64 x x)))
(/.f64 (neg.f64 (neg.f64 (*.f64 x x))) (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 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 #s(literal 0 binary64) (neg.f64 x)))
(*.f64 x #s(literal -1 binary64))
(*.f64 x (log.f64 (exp.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) x)
(.f64 (neg.f64 (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 (neg.f64 (.f64 x x)) (/.f64 #s(literal 1 binary64) x))

eval106.0ms (0.9%)

Memory: 17.5MiB live, 93.7MiB allocated
Compiler: Compiled 6 382 to 935 computations (85.3% saved)

prune152.0ms (1.3%)

Memory

-27.7MiB live, 142.0MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	350	6	356
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	351	6	357

Accuracy

100.0%

Counts

357 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	92.7%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
▶	100.0%	(sinh.f64 x)
▶	89.5%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x))
▶	81.0%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x))
	54.6%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal -1/2 binary64)))
▶	92.7%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))

Compiler

Compiled 160 to 90 computations (43.8% saved)

simplify471.0ms (4.1%)

Memory

27.4MiB live, 453.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))
cost-diff	0	(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
cost-diff	0	#s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))
cost-diff	0	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))
cost-diff	0	(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
cost-diff	0	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
cost-diff	0	(.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x)
cost-diff	0	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x))
cost-diff	0	(*.f64 x #s(literal 1/6 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x)
cost-diff	0	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x))
cost-diff	0	(sinh.f64 x)

Rules

15 788×	`lower-fma.f32`
15 770×	`lower-fma.f64`
3 906×	`lower-*.f32`
3 890×	`lower-*.f64`
2 492×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	302
0	65	284
1	159	284
2	411	278
3	1075	278
4	1999	278
5	3683	278
6	3874	278
7	4674	278
8	6004	278
9	7059	278
10	7632	278
0	8277	272

Stop Event

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

Calls

Call 1

Inputs
(sinh.f64 x)
x
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x))
(fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x)
(*.f64 x x)
x
(*.f64 x #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x))
(fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x)
(*.f64 x x)
x
(.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(*.f64 x #s(literal 1/120 binary64))
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
x
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(*.f64 x x)
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))
(*.f64 x #s(literal 1/5040 binary64))
#s(literal 1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
x
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))
(*.f64 x x)
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
#s(literal 1/2520 binary64)
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
#s(literal 2 binary64)

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

localize501.0ms (4.4%)

Memory

5.3MiB live, 531.0MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.037441259768442016	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))
accuracy	0.0546875	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
accuracy	0.07421875	(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
accuracy	4.68528596067016	#s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))
accuracy	0.046875	(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))
accuracy	0.0703125	(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))
accuracy	0.078125	(.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))
accuracy	4.686999100187941	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
accuracy	0.0703125	(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
accuracy	0.078125	(*.f64 x #s(literal 1/120 binary64))
accuracy	0.21484375	(.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
accuracy	6.695046896423194	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x))
accuracy	0	(*.f64 x x)
accuracy	0.06640625	(fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x)
accuracy	0.30078125	(*.f64 x #s(literal 1/6 binary64))
accuracy	12.129039041810698	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x))
accuracy	0.0078125	(sinh.f64 x)

Samples

148.0ms	134×	0	valid
101.0ms	77×	1	valid
89.0ms	44×	2	valid
2.0ms	1×	5	exit

Compiler

Compiled 248 to 43 computations (82.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 248.0ms

const: 82.0ms (33.1% of total)

ival-mult: 65.0ms (26.2% of total)

ival-exp: 51.0ms (20.6% of total)

adjust: 28.0ms (11.3% of total)

ival-add: 14.0ms (5.7% of total)

ival-div: 3.0ms (1.2% of total)

ival-sub: 2.0ms (0.8% of total)

ival-sinh: 2.0ms (0.8% of total)

ival-neg: 1.0ms (0.4% of total)

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

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

exact: 0.0ms (0% of total)

series119.0ms (1%)

Memory

-26.9MiB live, 51.5MiB allocated

Counts

22 → 264

Calls

Call 1

Inputs
#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x) (patch (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 1/6 binary64)) (patch (.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) (patch (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) #<representation binary64>) () ())
#s(alt (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (patch (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (patch (/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (patch #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 1/120 binary64)) (patch (.f64 x #s(literal 1/120 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (patch (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (patch (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (patch (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (patch (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #<representation binary64>) () ())

Outputs
#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 x (taylor 0 x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 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) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) (taylor 0 x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) (taylor 0 x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 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) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 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) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 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) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 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) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 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) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 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) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 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) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 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) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x) (patch (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/6 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x) (patch (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/6 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x) (patch (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/6 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x) (patch (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 3)) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x) (patch (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x) (patch (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x) (patch (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x) (patch (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 3)) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x) (patch (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
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#s(alt (* 1/5040 (pow x 4)) (taylor inf x) (#s(alt (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (patch (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (patch (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #<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 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (patch (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #<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 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (patch (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/5040 (pow x 4)) (taylor -inf x) (#s(alt (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (patch (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (patch (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #<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 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (patch (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #<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 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (patch (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt 1/60 (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/60 (* 1/2520 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/60 (* 1/2520 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/60 (* 1/2520 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2520 (pow x 2)) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2520 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #<representation binary64>) () ())) ())
#s(alt 1/3 (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/3 (* 1/60 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2520 (pow x 4)) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2520 (pow x 4)) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())

Calls

66 calls:

Time	Variable		Point	Expression
62.0ms	x	@	0	(+ (* (* x x) (* x 1/6)) x)
1.0ms	x	@	inf	(* x (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1))
1.0ms	x	@	-inf	(sinh x)
1.0ms	x	@	inf	(sinh x)
1.0ms	x	@	inf	(+ (* (* x x) (* x 1/6)) x)

simplify421.0ms (3.7%)

Memory

26.1MiB live, 427.0MiB allocated

Algorithm

1×	egg-herbie

Rules

14 412×	`lower-fma.f64`
14 412×	`lower-fma.f32`
4 138×	`lower-*.f64`
4 138×	`lower-*.f32`
3 034×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	157	2298
1	533	2238
2	1422	2214
3	3927	2210
4	7836	2210
0	8142	2065

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 256

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) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 1/2 (- (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))))
(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)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 1/2 (- (exp x) (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)))
(* 1/6 x)
(* x (+ 1/6 (* 1/120 (pow x 2))))
(* x (+ 1/6 (* 1/120 (pow x 2))))
(* x (+ 1/6 (* 1/120 (pow x 2))))
(* 1/120 (pow x 3))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 3))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 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))))))
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)))
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(* 1/2520 (pow x 7))
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 1/2520 (pow x 7))
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))))
2
(+ 2 (* 1/3 (pow x 2)))
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))
(* 1/2520 (pow x 6))
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 1/2520 (pow x 6))
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 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)
1/6
(+ 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)))))
(* 1/120 x)
(* x (+ 1/120 (* 1/5040 (pow x 2))))
(* x (+ 1/120 (* 1/5040 (pow x 2))))
(* x (+ 1/120 (* 1/5040 (pow x 2))))
(* 1/5040 (pow x 3))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* 1/5040 (pow x 3))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
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))))))
1/60
(+ 1/60 (* 1/2520 (pow x 2)))
(+ 1/60 (* 1/2520 (pow x 2)))
(+ 1/60 (* 1/2520 (pow x 2)))
(* 1/2520 (pow x 2))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* 1/2520 (pow x 2))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
1/3
(+ 1/3 (* 1/60 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))
(* 1/2520 (pow x 4))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* 1/2520 (pow x 4))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))

Outputs
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/6 binary64))) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)) x)
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/6 binary64))) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)) x)
(* 1/2 (- (exp x) (exp (neg x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (exp (neg x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (exp (neg x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (exp (neg x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/6 binary64))) x)
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/6 binary64))) x)
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/6 binary64))) x)
(* 1/6 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/6 binary64))) x)
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/6 binary64))) x)
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/6 binary64))) x)
(* 1/6 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/6 binary64))) x)
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/6 binary64))) x)
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/6 binary64))) x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/6 binary64))) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)) x)
(* 1/2 (- (exp x) (exp (neg x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (exp (neg x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (exp (neg x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (exp (neg x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/6 binary64))) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x)) x)
(* 1/120 (pow x 5))
(.f64 x (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))))
(* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* 1/120 (pow x 5))
(.f64 x (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (-.f64 #s(literal 1/120 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal -1/6 binary64)) (*.f64 x x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (-.f64 #s(literal 1/120 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal -1/6 binary64)) (*.f64 x x))))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* x (+ 1/6 (* 1/120 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
(* x (+ 1/6 (* 1/120 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
(* x (+ 1/6 (* 1/120 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
(* 1/120 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/120 binary64)))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
(* 1/120 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/120 binary64)))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/6 binary64))) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)) x)
(* 1/2 (- (exp x) (exp (neg x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (exp (neg x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (exp (neg x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (exp (neg x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/6 binary64))) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)) x)
(* 1/5040 (pow x 7))
(*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x))))))))
(* 1/5040 (pow x 7))
(*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
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1
#s(literal 1 binary64)
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(* 1/5040 (pow x 6))
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(* 1/5040 (pow x 6))
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x
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(* 1/2 (- (exp x) (exp (neg x))))
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(* 2 x)
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(* x (+ 2 (* 1/3 (pow x 2))))
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(- (exp x) (exp (neg x)))
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(- (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)))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
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(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
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(* 1/2520 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/2520 binary64))
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
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(* 1/2520 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/2520 binary64))
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
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2
#s(literal 2 binary64)
(+ 2 (* 1/3 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))
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(* 1/2520 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2520 binary64))
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (.f64 x x))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
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(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
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(* 1/2520 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2520 binary64))
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
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(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
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(*.f64 x #s(literal 1/120 binary64))
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(*.f64 x #s(literal 1/120 binary64))
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(*.f64 x #s(literal 1/120 binary64))
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(* 1/120 x)
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(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/120 (pow x 2)))
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(+ 1/6 (* 1/120 (pow x 2)))
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(+ 1/6 (* 1/120 (pow x 2)))
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(* 1/120 (pow x 2))
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(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
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(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
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(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
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(* 1/120 (pow x 2))
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(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
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(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
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(* 1/5040 (pow x 3))
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1/120
#s(literal 1/120 binary64)
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(+ 1/120 (* 1/5040 (pow x 2)))
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(+ 1/120 (* 1/5040 (pow x 2)))
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#s(literal 1/6 binary64)
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1/60
#s(literal 1/60 binary64)
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(+ 1/60 (* 1/2520 (pow x 2)))
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(+ 1/60 (* 1/2520 (pow x 2)))
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(* 1/2520 (pow x 2))
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(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(* 1/2520 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2520 binary64))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/60 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
(* 1/2520 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/2520 binary64))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) #s(literal 1/60 binary64)))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) #s(literal 1/60 binary64)))
(* 1/2520 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/2520 binary64))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) #s(literal 1/60 binary64)))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) #s(literal 1/60 binary64)))

rewrite422.0ms (3.7%)

Memory

-27.5MiB live, 608.8MiB allocated

Rules

5 908×	`lower-fma.f32`
5 890×	`lower-fma.f64`
4 172×	`lower-*.f32`
4 156×	`lower-*.f64`
3 100×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	274
0	65	252
1	302	246
2	2267	246
0	8201	240

Stop Event

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

Counts

22 → 503

Calls

Call 1

Inputs
(sinh.f64 x)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x))
(fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x)
(*.f64 x x)
(*.f64 x #s(literal 1/6 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x))
(fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x)
(.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))
(*.f64 x #s(literal 1/120 binary64))
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))

Outputs
(+.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) (neg.f64 (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal -2 binary64)))
(-.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))
(-.f64 (/.f64 (/.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))) #s(literal 2 binary64)) (/.f64 (/.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))) #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 x x)) (.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64)) (/.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64)))
(-.f64 (/.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))))) (/.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))) (.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))))))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x)))) (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x)))))
(-.f64 (/.f64 (.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) #s(literal 4 binary64)))
(-.f64 (/.f64 (.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))))) (/.f64 (.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))))))
(-.f64 (/.f64 (pow.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64))))
(neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal -2 binary64)))
(sinh.f64 x)
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)))))
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) #s(literal -2 binary64))
(/.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal 1 binary64))))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (-.f64 (.f64 (exp.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))) #s(literal 4 binary64))
(/.f64 (neg.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))))) (neg.f64 (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))) (neg.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x)))))
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal 1/8 binary64)) (.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))) #s(literal 1/8 binary64))) (+.f64 (pow.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64))))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))))
(/.f64 (.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 x)))
(/.f64 (-.f64 (neg.f64 (exp.f64 x)) (neg.f64 (exp.f64 (neg.f64 x)))) #s(literal -2 binary64))
(/.f64 (-.f64 (.f64 (exp.f64 x) (/.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))))
(/.f64 (-.f64 (.f64 (exp.f64 x) (.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (exp.f64 x))))
(/.f64 (-.f64 (.f64 (exp.f64 x) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (neg.f64 (exp.f64 (neg.f64 x))))) #s(literal -4 binary64))
(/.f64 (-.f64 #s(literal 2 binary64) (.f64 (/.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 (neg.f64 x)))) (.f64 (/.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))) (.f64 (/.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 2 binary64) (exp.f64 x)) (/.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (exp.f64 x))) (.f64 (/.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 2 binary64) (exp.f64 x)) (*.f64 #s(literal 2 binary64) (exp.f64 x))))
(/.f64 (-.f64 #s(literal -2 binary64) (.f64 (/.f64 #s(literal 2 binary64) (exp.f64 x)) (neg.f64 (exp.f64 (neg.f64 x))))) (.f64 (/.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal -2 binary64)))
(/.f64 (-.f64 (.f64 (neg.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 x)))) #s(literal -4 binary64))
(/.f64 (-.f64 (.f64 (neg.f64 (exp.f64 x)) (/.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))) #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))))
(/.f64 (-.f64 (.f64 (neg.f64 (exp.f64 x)) (.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (exp.f64 x))))
(/.f64 (-.f64 (.f64 (neg.f64 (exp.f64 x)) #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) (neg.f64 (exp.f64 (neg.f64 x))))) #s(literal 4 binary64))
(/.f64 (neg.f64 (-.f64 (.f64 (exp.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))))) #s(literal -4 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (-.f64 (.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal 1/8 binary64)) (.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))) #s(literal 1/8 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) #s(literal 1/2 binary64))) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))))
(/.f64 (neg.f64 (.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 1/2 binary64))) (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (fma.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal 1/8 binary64) (pow.f64 (neg.f64 (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (neg.f64 (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64))) (neg.f64 (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))) (.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64))
(.f64 #s(literal 2 binary64) (.f64 (sinh.f64 x) #s(literal 1/2 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (sinh.f64 x))
(.f64 (.f64 #s(literal -2 binary64) (sinh.f64 x)) #s(literal -1/2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))
(.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -1 binary64)))
(.f64 (cosh.f64 x) (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))))
(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x))))
(.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))))
(*.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (.f64 x (.f64 x #s(literal 1/6 binary64))) x))
(+.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64)))))
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(pow.f64 (/.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal -1/3 binary64)) (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) #s(literal -1/9 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))))) #s(literal 1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) #s(literal 1/9 binary64)) (.f64 x (.f64 (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))))))
(.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal -1/3 binary64))))

eval160.0ms (1.4%)

Memory: 15.7MiB live, 239.7MiB allocated
Compiler: Compiled 27 326 to 2 234 computations (91.8% saved)

prune168.0ms (1.5%)

Memory

12.3MiB live, 300.2MiB allocated

Pruning

30 alts after pruning (26 fresh and 4 done)

	Pruned	Kept	Total
New	834	25	859
Fresh	0	1	1
Picked	1	4	5
Done	0	0	0
Total	835	30	865

Accuracy

100.0%

Counts

865 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	69.2%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal -1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
	69.2%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal -1/60 binary64)) (fma.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
	69.2%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal -1/60 binary64)))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
	92.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))))
✓	100.0%	(sinh.f64 x)
	92.7%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)) x))
	89.5%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x)) x))
▶	92.7%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x x) x))
	89.5%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x x))
	81.0%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64) x))
	81.0%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) x x))
	89.5%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/120 binary64)) (.f64 x #s(literal 1/6 binary64))) x))
✓	89.5%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x))
▶	88.5%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(approx (+ (* x (* x 1/120)) 1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64)))) x))
✓	81.0%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x))
	92.7%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (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)) (.f64 x (*.f64 x x))) x))
	54.6%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal -1/2 binary64)))
	92.7%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) x (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
	92.7%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/5040 binary64) (*.f64 x #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
✓	92.7%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
▶	69.2%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
	69.2%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (fma.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
▶	92.1%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(approx (+ ( x (* x 1/5040)) 1/120) (.f64 x (.f64 x #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
	58.9%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal -1/36 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))) #s(literal 1 binary64))))
	91.5%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1 binary64))))
	91.5%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1 binary64))))
	81.0%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
▶	51.8%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64))))
	42.3%	#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (.f64 x (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))))
	34.4%	#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64))))))

Compiler

Compiled 1 114 to 567 computations (49.1% saved)

simplify203.0ms (1.8%)

Memory

-3.4MiB live, 352.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))
cost-diff	0	(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
cost-diff	0	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(approx (+ (* x (* x 1/5040)) 1/120) (.f64 x (.f64 x #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64)) #s(literal 1 binary64))
cost-diff	0	(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(approx (+ ( x (* x 1/5040)) 1/120) (.f64 x (.f64 x #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
cost-diff	0	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(approx (+ ( x (* x 1/5040)) 1/120) (.f64 x (.f64 x #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
cost-diff	0	(.f64 x #s(approx (+ ( x (* x 1/120)) 1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64))))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (.f64 x x) (.f64 x #s(approx (+ (* x (* x 1/120)) 1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64)))) x)
cost-diff	0	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(approx (+ (* x (* x 1/120)) 1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64)))) x))
cost-diff	0	#s(approx (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64))
cost-diff	0	(.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64)))
cost-diff	0	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64))))
cost-diff	0	(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))
cost-diff	0	(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
cost-diff	0	(fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x x) x)
cost-diff	0	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x x) x))

Rules

11 688×	`lower-fma.f32`
11 668×	`lower-fma.f64`
4 732×	`lower-*.f32`
4 708×	`lower-*.f64`
2 442×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	575
0	89	563
1	214	539
2	503	523
3	1167	523
4	1908	523
5	3052	523
6	4843	523
7	6234	523
0	8052	508

Stop Event

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

Calls

Call 1

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

localize344.0ms (3%)

Memory

15.9MiB live, 340.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.1484375	(.f64 (.f64 x x) (*.f64 x x))
accuracy	0.2776355494989592	(fma.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))
accuracy	4.686999100187941	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
accuracy	18.774131585628425	(/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))
accuracy	0.078125	(.f64 x #s(approx (+ ( x (* x 1/5040)) 1/120) (.f64 x (.f64 x #s(literal 1/5040 binary64)))))
accuracy	0.125	(.f64 x (.f64 x #s(literal 1/5040 binary64)))
accuracy	4.686999100187941	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(approx (+ ( x (* x 1/5040)) 1/120) (.f64 x (.f64 x #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
accuracy	31.54671310355602	#s(approx (+ (* x (* x 1/5040)) 1/120) (.f64 x (.f64 x #s(literal 1/5040 binary64))))
accuracy	0.16015625	(.f64 (.f64 x x) #s(literal 1/120 binary64))
accuracy	0.21875	(.f64 x #s(approx (+ ( x (* x 1/120)) 1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64))))
accuracy	6.695046896423194	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(approx (+ (* x (* x 1/120)) 1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64)))) x))
accuracy	31.525006414170694	#s(approx (+ (* x (* x 1/120)) 1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64)))
accuracy	0.01953125	(.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64)))
accuracy	4.686999100187941	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64))))
accuracy	31.37243797901859	#s(approx (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64))
accuracy	0.0546875	(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))
accuracy	0.07421875	(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
accuracy	0.171875	(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
accuracy	4.686999100187941	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x x) x))

Samples

94.0ms	77×	1	valid
76.0ms	134×	0	valid
49.0ms	44×	2	valid
1.0ms	1×	3	valid

Compiler

Compiled 436 to 51 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 191.0ms

const: 58.0ms (30.4% of total)

ival-mult: 42.0ms (22% of total)

ival-neg: 29.0ms (15.2% of total)

ival-exp: 21.0ms (11% of total)

ival-add: 18.0ms (9.4% of total)

adjust: 15.0ms (7.9% of total)

ival-div: 5.0ms (2.6% of total)

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

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

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

exact: 0.0ms (0% of total)

series30.0ms (0.3%)

Memory

-11.9MiB live, 25.8MiB allocated

Counts

26 → 312

Calls

Call 1

Inputs
#s(alt #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x x) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x x) x)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x x) x) (patch (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x x) x) #<representation binary64>) () ())
#s(alt (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())
#s(alt (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)) (patch (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)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64)))) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64))) (patch (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(approx (+ (* x (* x 1/120)) 1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64)))) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(approx (+ (* x (* x 1/120)) 1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64)))) x)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x x) (.f64 x #s(approx (+ (* x (* x 1/120)) 1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64)))) x) (patch (fma.f64 (.f64 x x) (.f64 x #s(approx (+ (* x (* x 1/120)) 1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64)))) x) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (.f64 x #s(approx (+ ( x (* x 1/120)) 1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64)))) (patch (.f64 x #s(approx (+ ( x (* x 1/120)) 1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(approx (+ ( x (* x 1/5040)) 1/120) (.f64 x (.f64 x #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(approx (+ ( x (* x 1/5040)) 1/120) (.f64 x (.f64 x #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(approx (+ ( x (* x 1/5040)) 1/120) (.f64 x (.f64 x #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(approx (+ ( x (* x 1/5040)) 1/120) (.f64 x (.f64 x #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(approx (+ (* x (* x 1/5040)) 1/120) (.f64 x (.f64 x #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(approx (+ (* x (* x 1/5040)) 1/120) (.f64 x (.f64 x #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) #<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 #s(approx (+ (* x (* x 1/120)) 1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64))) (patch #s(approx (+ (* x (* x 1/120)) 1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x x) #s(literal 1/120 binary64)) (patch (.f64 (.f64 x x) #s(literal 1/120 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (* x 1/5040)) 1/120) (.f64 x (.f64 x #s(literal 1/5040 binary64)))) (patch #s(approx (+ (* x (* x 1/5040)) 1/120) (.f64 x (.f64 x #s(literal 1/5040 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 x (.f64 x #s(literal 1/5040 binary64))) (patch (.f64 x (.f64 x #s(literal 1/5040 binary64))) #<representation binary64>) () ())
#s(alt (.f64 x #s(approx (+ ( x (* x 1/5040)) 1/120) (.f64 x (.f64 x #s(literal 1/5040 binary64))))) (patch (.f64 x #s(approx (+ ( x (* x 1/5040)) 1/120) (.f64 x (.f64 x #s(literal 1/5040 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #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 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (patch (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 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 x (taylor 0 x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x x) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x x) 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) (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x x) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x x) 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) (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x x) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x x) 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) (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x x) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x x) 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) (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x x) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x x) 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) (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x x) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x x) 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) (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x x) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x x) 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) (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x x) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x x) 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) (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x x) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x x) 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) (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x x) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x x) 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) (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x x) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x x) 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) (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x x) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x x) x) (patch (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/6 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x x) x) (patch (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) (taylor 0 x) (#s(alt (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x x) x) (patch (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x x) 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 (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x x) x) (patch (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (* 1/5040 (pow x 7)) (taylor inf x) (#s(alt (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x x) x) (patch (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x x) x) (patch (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x x) x) (patch (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) (taylor inf x) (#s(alt (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x x) x) (patch (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (* 1/5040 (pow x 7)) (taylor -inf x) (#s(alt (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x x) x) (patch (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x x) x) (patch (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x x) x) (patch (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x x) x) (patch (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor 0 x) (#s(alt (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/6 (* 1/120 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))) (taylor 0 x) (#s(alt (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))) (taylor 0 x) (#s(alt (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/5040 (pow x 5)) (taylor inf x) (#s(alt (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 5) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 5) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 5) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/5040 (pow x 5)) (taylor -inf x) (#s(alt (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 5) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040))) (taylor -inf x) (#s(alt (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040))) (taylor -inf x) (#s(alt (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt 1/6 (taylor 0 x) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (+ 1/6 (* 1/120 (pow x 2))) (taylor 0 x) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (patch (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)) #<representation binary64>) () ())) ())
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#s(alt (* 1/5040 (pow x 2)) (taylor 0 x) (#s(alt (.f64 x (.f64 x #s(literal 1/5040 binary64))) (patch (.f64 x (.f64 x #s(literal 1/5040 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/5040 (pow x 2)) (taylor 0 x) (#s(alt (.f64 x (.f64 x #s(literal 1/5040 binary64))) (patch (.f64 x (.f64 x #s(literal 1/5040 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/5040 (pow x 2)) (taylor 0 x) (#s(alt (.f64 x (.f64 x #s(literal 1/5040 binary64))) (patch (.f64 x (.f64 x #s(literal 1/5040 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/5040 (pow x 2)) (taylor 0 x) (#s(alt (.f64 x (.f64 x #s(literal 1/5040 binary64))) (patch (.f64 x (.f64 x #s(literal 1/5040 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/5040 (pow x 2)) (taylor inf x) (#s(alt (.f64 x (.f64 x #s(literal 1/5040 binary64))) (patch (.f64 x (.f64 x #s(literal 1/5040 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/5040 (pow x 2)) (taylor inf x) (#s(alt (.f64 x (.f64 x #s(literal 1/5040 binary64))) (patch (.f64 x (.f64 x #s(literal 1/5040 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/5040 (pow x 2)) (taylor inf x) (#s(alt (.f64 x (.f64 x #s(literal 1/5040 binary64))) (patch (.f64 x (.f64 x #s(literal 1/5040 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/5040 (pow x 2)) (taylor inf x) (#s(alt (.f64 x (.f64 x #s(literal 1/5040 binary64))) (patch (.f64 x (.f64 x #s(literal 1/5040 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/5040 (pow x 2)) (taylor -inf x) (#s(alt (.f64 x (.f64 x #s(literal 1/5040 binary64))) (patch (.f64 x (.f64 x #s(literal 1/5040 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/5040 (pow x 2)) (taylor -inf x) (#s(alt (.f64 x (.f64 x #s(literal 1/5040 binary64))) (patch (.f64 x (.f64 x #s(literal 1/5040 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/5040 (pow x 2)) (taylor -inf x) (#s(alt (.f64 x (.f64 x #s(literal 1/5040 binary64))) (patch (.f64 x (.f64 x #s(literal 1/5040 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/5040 (pow x 2)) (taylor -inf x) (#s(alt (.f64 x (.f64 x #s(literal 1/5040 binary64))) (patch (.f64 x (.f64 x #s(literal 1/5040 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/120 x) (taylor 0 x) (#s(alt (.f64 x #s(approx (+ ( x (* x 1/5040)) 1/120) (.f64 x (.f64 x #s(literal 1/5040 binary64))))) (patch (.f64 x #s(approx (+ ( x (* x 1/5040)) 1/120) (.f64 x (.f64 x #s(literal 1/5040 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/120 (* 1/5040 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 x #s(approx (+ ( x (* x 1/5040)) 1/120) (.f64 x (.f64 x #s(literal 1/5040 binary64))))) (patch (.f64 x #s(approx (+ ( x (* x 1/5040)) 1/120) (.f64 x (.f64 x #s(literal 1/5040 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/120 (* 1/5040 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 x #s(approx (+ ( x (* x 1/5040)) 1/120) (.f64 x (.f64 x #s(literal 1/5040 binary64))))) (patch (.f64 x #s(approx (+ ( x (* x 1/5040)) 1/120) (.f64 x (.f64 x #s(literal 1/5040 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/120 (* 1/5040 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 x #s(approx (+ ( x (* x 1/5040)) 1/120) (.f64 x (.f64 x #s(literal 1/5040 binary64))))) (patch (.f64 x #s(approx (+ ( x (* x 1/5040)) 1/120) (.f64 x (.f64 x #s(literal 1/5040 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 1/5040 (pow x 3)) (taylor inf x) (#s(alt (.f64 x #s(approx (+ ( x (* x 1/5040)) 1/120) (.f64 x (.f64 x #s(literal 1/5040 binary64))))) (patch (.f64 x #s(approx (+ ( x (* x 1/5040)) 1/120) (.f64 x (.f64 x #s(literal 1/5040 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (.f64 x #s(approx (+ ( x (* x 1/5040)) 1/120) (.f64 x (.f64 x #s(literal 1/5040 binary64))))) (patch (.f64 x #s(approx (+ ( x (* x 1/5040)) 1/120) (.f64 x (.f64 x #s(literal 1/5040 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (.f64 x #s(approx (+ ( x (* x 1/5040)) 1/120) (.f64 x (.f64 x #s(literal 1/5040 binary64))))) (patch (.f64 x #s(approx (+ ( x (* x 1/5040)) 1/120) (.f64 x (.f64 x #s(literal 1/5040 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (.f64 x #s(approx (+ ( x (* x 1/5040)) 1/120) (.f64 x (.f64 x #s(literal 1/5040 binary64))))) (patch (.f64 x #s(approx (+ ( x (* x 1/5040)) 1/120) (.f64 x (.f64 x #s(literal 1/5040 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 1/5040 (pow x 3)) (taylor -inf x) (#s(alt (.f64 x #s(approx (+ ( x (* x 1/5040)) 1/120) (.f64 x (.f64 x #s(literal 1/5040 binary64))))) (patch (.f64 x #s(approx (+ ( x (* x 1/5040)) 1/120) (.f64 x (.f64 x #s(literal 1/5040 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (.f64 x #s(approx (+ ( x (* x 1/5040)) 1/120) (.f64 x (.f64 x #s(literal 1/5040 binary64))))) (patch (.f64 x #s(approx (+ ( x (* x 1/5040)) 1/120) (.f64 x (.f64 x #s(literal 1/5040 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (.f64 x #s(approx (+ ( x (* x 1/5040)) 1/120) (.f64 x (.f64 x #s(literal 1/5040 binary64))))) (patch (.f64 x #s(approx (+ ( x (* x 1/5040)) 1/120) (.f64 x (.f64 x #s(literal 1/5040 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (.f64 x #s(approx (+ ( x (* x 1/5040)) 1/120) (.f64 x (.f64 x #s(literal 1/5040 binary64))))) (patch (.f64 x #s(approx (+ ( x (* x 1/5040)) 1/120) (.f64 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 (.f64 x x) #s(literal 1/5040 binary64) #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 (.f64 x x) #s(literal 1/5040 binary64) #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 (.f64 x x) #s(literal 1/5040 binary64) #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 (.f64 x x) #s(literal 1/5040 binary64) #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 (.f64 x x) #s(literal 1/5040 binary64) #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 (.f64 x x) #s(literal 1/5040 binary64) #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 (.f64 x x) #s(literal 1/5040 binary64) #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 (.f64 x x) #s(literal 1/5040 binary64) #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 (.f64 x x) #s(literal 1/5040 binary64) #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 (.f64 x x) #s(literal 1/5040 binary64) #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 (.f64 x x) #s(literal 1/5040 binary64) #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 (.f64 x x) #s(literal 1/5040 binary64) #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 (.f64 x x) #s(literal 1/5040 binary64) #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 (.f64 x x) #s(literal 1/5040 binary64) #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 (.f64 x x) #s(literal 1/5040 binary64) #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 (.f64 x x) #s(literal 1/5040 binary64) #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 (.f64 x x) #s(literal 1/5040 binary64) #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 (.f64 x x) #s(literal 1/5040 binary64) #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 (.f64 x x) #s(literal 1/5040 binary64) #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 (.f64 x x) #s(literal 1/5040 binary64) #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 (.f64 x x) #s(literal 1/5040 binary64) #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 (.f64 x x) #s(literal 1/5040 binary64) #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 (.f64 x x) #s(literal 1/5040 binary64) #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 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #<representation binary64>) () ())) ())
#s(alt -1/14400 (taylor 0 x) (#s(alt (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (patch (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/25401600 (pow x 4)) 1/14400) (taylor 0 x) (#s(alt (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (patch (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/25401600 (pow x 4)) 1/14400) (taylor 0 x) (#s(alt (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (patch (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/25401600 (pow x 4)) 1/14400) (taylor 0 x) (#s(alt (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (patch (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/25401600 (pow x 4)) (taylor inf x) (#s(alt (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (patch (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- 1/25401600 (* 1/14400 (/ 1 (pow x 4))))) (taylor inf x) (#s(alt (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (patch (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- 1/25401600 (* 1/14400 (/ 1 (pow x 4))))) (taylor inf x) (#s(alt (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (patch (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- 1/25401600 (* 1/14400 (/ 1 (pow x 4))))) (taylor inf x) (#s(alt (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (patch (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/25401600 (pow x 4)) (taylor -inf x) (#s(alt (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (patch (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- 1/25401600 (* 1/14400 (/ 1 (pow x 4))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (patch (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- 1/25401600 (* 1/14400 (/ 1 (pow x 4))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (patch (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- 1/25401600 (* 1/14400 (/ 1 (pow x 4))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (patch (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 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

78 calls:

Time	Variable		Point	Expression
12.0ms	x	@	inf	(/ (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (+ (* (* x x) 1/5040) -1/120))
0.0ms	x	@	inf	(* x (+ (* (* x x) (+ (* x (* x (/ (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (+ (* (* x x) 1/5040) -1/120)))) 1/6)) 1))
0.0ms	x	@	0	(/ (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (+ (* (* x x) 1/5040) -1/120))
0.0ms	x	@	0	(* x (+ (* (* x x) (+ (* x (* x (/ (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (+ (* (* x x) 1/5040) -1/120)))) 1/6)) 1))
0.0ms	x	@	inf	(* x (* x 1/5040))

simplify249.0ms (2.2%)

Memory

9.6MiB live, 208.3MiB allocated

Algorithm

1×	egg-herbie

Rules

7 914×	`lower-fma.f64`
7 914×	`lower-fma.f32`
3 624×	`lower-*.f64`
3 624×	`lower-*.f32`
1 618×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	112	2796
1	366	2732
2	949	2694
3	2505	2688
4	6359	2688
0	8388	2486

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 302

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 (* (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 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)))
1/6
(+ 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) (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)))
(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)
(* 1/6 x)
(* x (+ 1/6 (* 1/120 (pow x 2))))
(* x (+ 1/6 (* 1/120 (pow x 2))))
(* x (+ 1/6 (* 1/120 (pow x 2))))
(* 1/120 (pow x 3))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 3))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 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))))))
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))))))
1/120
(+ 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 (* 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)))))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
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)))))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/120 x)
(* x (+ 1/120 (* 1/5040 (pow x 2))))
(* x (+ 1/120 (* 1/5040 (pow x 2))))
(* x (+ 1/120 (* 1/5040 (pow x 2))))
(* 1/5040 (pow x 3))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* 1/5040 (pow x 3))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
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)))))
-1/14400
(- (* 1/25401600 (pow x 4)) 1/14400)
(- (* 1/25401600 (pow x 4)) 1/14400)
(- (* 1/25401600 (pow x 4)) 1/14400)
(* 1/25401600 (pow x 4))
(* (pow x 4) (- 1/25401600 (* 1/14400 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/25401600 (* 1/14400 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/25401600 (* 1/14400 (/ 1 (pow x 4)))))
(* 1/25401600 (pow x 4))
(* (pow x 4) (- 1/25401600 (* 1/14400 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/25401600 (* 1/14400 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/25401600 (* 1/14400 (/ 1 (pow x 4)))))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)

Outputs
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)) x)
(* 1/2 (- (exp x) (exp (neg x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (exp (neg x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (exp (neg x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (exp (neg x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)) x)
(* 1/5040 (pow x 7))
(*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))))
(* 1/5040 (pow x 7))
(*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (*.f64 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* x (+ 1/6 (* 1/120 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(* x (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
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(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))
-1/14400
#s(literal -1/14400 binary64)
(- (* 1/25401600 (pow x 4)) 1/14400)
(fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))
(- (* 1/25401600 (pow x 4)) 1/14400)
(fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))
(- (* 1/25401600 (pow x 4)) 1/14400)
(fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))
(* 1/25401600 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))
(* (pow x 4) (- 1/25401600 (* 1/14400 (/ 1 (pow x 4)))))
(fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))
(* (pow x 4) (- 1/25401600 (* 1/14400 (/ 1 (pow x 4)))))
(fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))
(* (pow x 4) (- 1/25401600 (* 1/14400 (/ 1 (pow x 4)))))
(fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))
(* 1/25401600 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))
(* (pow x 4) (- 1/25401600 (* 1/14400 (/ 1 (pow x 4)))))
(fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))
(* (pow x 4) (- 1/25401600 (* 1/14400 (/ 1 (pow x 4)))))
(fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))
(* (pow x 4) (- 1/25401600 (* 1/14400 (/ 1 (pow x 4)))))
(fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))

rewrite316.0ms (2.8%)

Memory

-2.5MiB live, 580.6MiB allocated

Rules

6 114×	`lower-fma.f32`
6 094×	`lower-fma.f64`
4 438×	`lower-*.f32`
4 414×	`lower-*.f64`
3 742×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	479
0	89	411
1	408	375
2	2964	375
0	8825	363

Stop Event

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

Counts

26 → 535

Calls

Call 1

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

Outputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x))
(+.f64 x (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x))))
(+.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x))) x)
(-.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (-.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) x)) (/.f64 (.f64 x x) (-.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) x)))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))))) (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (-.f64 x (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))))))
(fma.f64 x (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x)
(fma.f64 x #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x))))
(fma.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x)
(fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)) x)
(fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x x) x)
(fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x x)
(fma.f64 #s(literal 1 binary64) x (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x))))
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) (fma.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (.f64 x (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) x) (.f64 (fma.f64 x (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) (-.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x))) x))))
(/.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (.f64 x (.f64 x x))) (fma.f64 x (-.f64 x (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))
(/.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (.f64 x (.f64 x x))) (fma.f64 x x (-.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (.f64 x (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 x (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) (fma.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (.f64 x (.f64 x x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) x) (.f64 (fma.f64 x (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) (-.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x))) x)))))
(/.f64 (.f64 (fma.f64 x (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) (-.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) x)) (-.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x))) x))
(/.f64 (neg.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (.f64 x (.f64 x x)))) (neg.f64 (fma.f64 x (-.f64 x (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))))
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(.f64 (/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/16390160963076096000000 binary64)) #s(literal -1/2985984000000 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64)) #s(literal -1/1728000 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/645241282560000 binary64) #s(literal 1/207360000 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/365783040000 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64)) (.f64 (*.f64 x x) #s(literal -1/604800 binary64))))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/645241282560000 binary64) #s(literal -1/207360000 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64)) #s(literal -1/1728000 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64)) (.f64 (*.f64 x x) #s(literal -1/604800 binary64))))))
(+.f64 #s(literal -1/14400 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25401600 binary64))))
(+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25401600 binary64))) #s(literal -1/14400 binary64))
(-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25401600 binary64))) #s(literal 1/14400 binary64))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/645241282560000 binary64)) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64))) (/.f64 #s(literal 1/207360000 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/16390160963076096000000 binary64))) (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/645241282560000 binary64) (+.f64 #s(literal 1/207360000 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25401600 binary64))) #s(literal 1/14400 binary64))))) (/.f64 #s(literal 1/2985984000000 binary64) (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/645241282560000 binary64) (+.f64 #s(literal 1/207360000 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25401600 binary64))) #s(literal 1/14400 binary64))))))
(-.f64 (/.f64 #s(literal 1/207360000 binary64) (-.f64 #s(literal -1/14400 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25401600 binary64))))) (/.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/645241282560000 binary64)) (-.f64 #s(literal -1/14400 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25401600 binary64))))))
(fma.f64 x (.f64 (.f64 x #s(literal 1/5040 binary64)) (.f64 x (.f64 x #s(literal 1/5040 binary64)))) #s(literal -1/14400 binary64))
(fma.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/25401600 binary64))) #s(literal -1/14400 binary64))
(fma.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64))
(fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64))
(fma.f64 (.f64 x x) (.f64 (.f64 x #s(literal 1/5040 binary64)) (.f64 x #s(literal 1/5040 binary64))) #s(literal -1/14400 binary64))
(fma.f64 (.f64 x x) (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))) #s(literal -1/14400 binary64))
(fma.f64 #s(literal 1/5040 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/5040 binary64)))) #s(literal -1/14400 binary64))
(fma.f64 (.f64 x #s(literal 1/5040 binary64)) (.f64 (.f64 x x) (.f64 x #s(literal 1/5040 binary64))) #s(literal -1/14400 binary64))
(fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))
(fma.f64 #s(literal 1/25401600 binary64) (.f64 x (.f64 x (*.f64 x x))) #s(literal -1/14400 binary64))
(fma.f64 (.f64 x (.f64 x #s(literal 1/5040 binary64))) (.f64 x (.f64 x #s(literal 1/5040 binary64))) #s(literal -1/14400 binary64))
(fma.f64 (.f64 x (.f64 x x)) (*.f64 x #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64))
(fma.f64 (.f64 (.f64 x x) (.f64 x #s(literal 1/5040 binary64))) (.f64 x #s(literal 1/5040 binary64)) #s(literal -1/14400 binary64))
(fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/5040 binary64)))) #s(literal 1/5040 binary64) #s(literal -1/14400 binary64))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/25401600 binary64)) (*.f64 x x) #s(literal -1/14400 binary64))
(fma.f64 (.f64 (.f64 x #s(literal 1/5040 binary64)) (.f64 x #s(literal 1/5040 binary64))) (.f64 x x) #s(literal -1/14400 binary64))
(fma.f64 (.f64 (.f64 x (.f64 x #s(literal 1/5040 binary64))) #s(literal 1/5040 binary64)) (.f64 x x) #s(literal -1/14400 binary64))
(fma.f64 (.f64 (.f64 x (.f64 x #s(literal 1/5040 binary64))) (.f64 x #s(literal 1/5040 binary64))) x #s(literal -1/14400 binary64))
(fma.f64 (.f64 #s(literal 1/25401600 binary64) x) (.f64 x (*.f64 x x)) #s(literal -1/14400 binary64))
(fma.f64 (.f64 #s(literal 1/25401600 binary64) (.f64 x (*.f64 x x))) x #s(literal -1/14400 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/645241282560000 binary64) #s(literal 1/207360000 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/365783040000 binary64))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/16390160963076096000000 binary64)) #s(literal -1/2985984000000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64)) (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/645241282560000 binary64) #s(literal -1/207360000 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/16390160963076096000000 binary64)) #s(literal -1/2985984000000 binary64)) (-.f64 (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/645241282560000 binary64) #s(literal 1/207360000 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/365783040000 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/16390160963076096000000 binary64)) #s(literal -1/2985984000000 binary64)) (+.f64 #s(literal 1/207360000 binary64) (-.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/645241282560000 binary64)) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -1/365783040000 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/645241282560000 binary64) #s(literal 1/207360000 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/365783040000 binary64))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/16390160963076096000000 binary64)) #s(literal -1/2985984000000 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64)) (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/645241282560000 binary64) #s(literal -1/207360000 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/645241282560000 binary64) #s(literal -1/207360000 binary64)) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/16390160963076096000000 binary64)) #s(literal -1/2985984000000 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/645241282560000 binary64) #s(literal 1/207360000 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/365783040000 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/16390160963076096000000 binary64)) #s(literal -1/2985984000000 binary64))) (neg.f64 (+.f64 #s(literal 1/207360000 binary64) (-.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/645241282560000 binary64)) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -1/365783040000 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/645241282560000 binary64) #s(literal -1/207360000 binary64))) (neg.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/16390160963076096000000 binary64))) #s(literal 1/2985984000000 binary64)) (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/645241282560000 binary64) (+.f64 #s(literal 1/207360000 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25401600 binary64))) #s(literal 1/14400 binary64)))))
(/.f64 (-.f64 #s(literal 1/207360000 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/645241282560000 binary64))) (-.f64 #s(literal -1/14400 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25401600 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/645241282560000 binary64)) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64))) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64)) #s(literal 1/207360000 binary64))) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64)) (fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/16390160963076096000000 binary64)) #s(literal -1/2985984000000 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/645241282560000 binary64) #s(literal 1/207360000 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/365783040000 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/645241282560000 binary64) #s(literal -1/207360000 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/16390160963076096000000 binary64))) #s(literal 1/2985984000000 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/645241282560000 binary64) (+.f64 #s(literal 1/207360000 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25401600 binary64))) #s(literal 1/14400 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/207360000 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/645241282560000 binary64)))) (neg.f64 (-.f64 #s(literal -1/14400 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25401600 binary64))))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/645241282560000 binary64) #s(literal 1/207360000 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/365783040000 binary64))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/16390160963076096000000 binary64)) #s(literal -1/2985984000000 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64)) (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/645241282560000 binary64) #s(literal -1/207360000 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/16390160963076096000000 binary64)) #s(literal -1/2985984000000 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/645241282560000 binary64) #s(literal 1/207360000 binary64)) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -1/365783040000 binary64)))))
(.f64 (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/645241282560000 binary64) #s(literal -1/207360000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64))))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (*.f64 #s(literal 2 binary64) (log.f64 x))))
(pow.f64 x #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1 binary64))
(.f64 x (.f64 x (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 x x))
(.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64))
(.f64 (.f64 x (*.f64 x x)) x)

eval224.0ms (2%)

Memory: 24.8MiB live, 334.7MiB allocated
Compiler: Compiled 36 228 to 2 331 computations (93.6% saved)

prune235.0ms (2.1%)

Memory

-18.5MiB live, 447.9MiB allocated

Pruning

36 alts after pruning (31 fresh and 5 done)

	Pruned	Kept	Total
New	1 009	17	1 026
Fresh	7	14	21
Picked	3	2	5
Done	1	3	4
Total	1 020	36	1 056

Accuracy

100.0%

Counts

1 056 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	92.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))))
✓	100.0%	(sinh.f64 x)
	89.5%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x)) x))
	59.7%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (.f64 x x) x))
	69.2%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (fma.f64 (/.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)))) #s(literal 1/6 binary64))) (.f64 x x) x))
✓	92.7%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x x) x))
	69.2%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (fma.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) (*.f64 x x) x))
	69.2%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (fma.f64 (.f64 x x) (/.f64 (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25401600 binary64)))) (-.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64))) (*.f64 x x) x))
	92.1%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64))) (*.f64 x x) x))
	89.5%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x x))
	81.0%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64) x))
	81.0%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) x x))
	89.5%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/120 binary64)) (.f64 x #s(literal 1/6 binary64))) x))
▶	88.5%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(approx (+ (* x (* x 1/120)) 1/6) (.f64 (.f64 x #s(literal 1/120 binary64)) x))) x))
✓	81.0%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x))
	91.5%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 #s(approx (* x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) (.f64 (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 x (.f64 x x)))) (*.f64 x x) x))
	81.0%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x x)) x))
	32.8%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (/.f64 (.f64 (fma.f64 #s(approx (+ ( x (* x 1/120)) 1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64))) (.f64 x (.f64 x x)) x) (fma.f64 #s(approx (+ (* x (* x 1/120)) 1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64))) (.f64 x (.f64 x x)) (neg.f64 x))) (fma.f64 #s(approx (+ (* x (* x 1/120)) 1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64))) (.f64 x (.f64 x x)) (neg.f64 x))))
▶	92.7%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (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)) (.f64 x (*.f64 x x))) x))
	54.6%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal -1/2 binary64)))
	92.7%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) x (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
	92.1%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(approx (+ (* x (* x 1/5040)) 1/120) (.f64 x (.f64 x #s(literal 1/5040 binary64)))) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
✓	92.7%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
	69.2%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x #s(literal 1/5040 binary64))) (.f64 x (.f64 x #s(literal 1/5040 binary64))) #s(literal -1/14400 binary64)) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
▶	68.7%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (/.f64 #s(approx (+ ( (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
	73.9%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (/.f64 #s(approx (+ ( (* (* x x) (* x x)) 1/25401600) -1/14400) #s(literal -1/14400 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
	69.2%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (fma.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
▶	91.5%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1 binary64))))
	91.5%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1 binary64))))
	45.3%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (/ (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (+ (* (* x x) 1/5040) -1/120)))) 1/6)) 1) (.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 x (*.f64 x x)))))))
	45.2%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (/ (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (+ (* (* x x) 1/5040) -1/120)))) 1/6)) 1) (.f64 x (.f64 x (.f64 x (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x x)))))))))
✓	51.8%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64))))
	42.6%	#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (.f64 x (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))
	42.3%	#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (.f64 x (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))))
	42.3%	#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
▶	34.4%	#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64))))))

Compiler

Compiled 1 397 to 673 computations (51.8% saved)

simplify295.0ms (2.6%)

Memory

-18.2MiB live, 296.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (/.f64 #s(approx (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))
cost-diff	0	(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (/.f64 #s(approx (+ ( (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
cost-diff	0	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (/.f64 #s(approx (+ ( (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (.f64 x x) #s(approx (+ ( x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1 binary64))
cost-diff	0	(.f64 x (fma.f64 (.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1 binary64)))
cost-diff	0	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1 binary64))))
cost-diff	0	(.f64 x #s(approx (+ ( x (* x 1/120)) 1/6) (.f64 (.f64 x #s(literal 1/120 binary64)) x)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (.f64 x x) (.f64 x #s(approx (+ (* x (* x 1/120)) 1/6) (.f64 (.f64 x #s(literal 1/120 binary64)) x))) x)
cost-diff	0	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(approx (+ (* x (* x 1/120)) 1/6) (.f64 (.f64 x #s(literal 1/120 binary64)) x))) x))
cost-diff	0	(.f64 x (.f64 x #s(literal 1/6 binary64)))
cost-diff	0	(.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64))))
cost-diff	0	#s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64)))))
cost-diff	0	#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64))))))
cost-diff	0	(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))
cost-diff	0	(.f64 (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)) (.f64 x (*.f64 x x)))
cost-diff	0	#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (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)) (.f64 x (*.f64 x x))) x))
cost-diff	128	(+.f64 (.f64 (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)) (.f64 x (*.f64 x x))) x)

Rules

13 488×	`lower-fma.f32`
13 472×	`lower-fma.f64`
5 270×	`lower-*.f32`
5 238×	`lower-*.f64`
1 510×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	664
0	98	606
1	208	570
2	375	570
3	780	570
4	1430	570
5	1712	570
6	2160	570
7	2926	570
8	4228	570
9	5193	570
10	6812	570
0	8095	549

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

localize300.0ms (2.6%)

Memory

4.4MiB live, 362.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.3166980494989592	(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))
accuracy	4.686999100187941	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (/.f64 #s(approx (+ ( (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
accuracy	18.774131585628425	(/.f64 #s(approx (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))
accuracy	31.648938632886722	#s(approx (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64)))
accuracy	0.0703125	(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))
accuracy	0.08984375	(.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))
accuracy	4.686999100187941	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1 binary64))))
accuracy	31.145970656746133	#s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))
accuracy	0.1328125	(.f64 (.f64 x #s(literal 1/120 binary64)) x)
accuracy	0.21484375	(.f64 x #s(approx (+ ( x (* x 1/120)) 1/6) (.f64 (.f64 x #s(literal 1/120 binary64)) x)))
accuracy	6.695046896423194	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(approx (+ (* x (* x 1/120)) 1/6) (.f64 (.f64 x #s(literal 1/120 binary64)) x))) x))
accuracy	31.282839129683172	#s(approx (+ (* x (* x 1/120)) 1/6) (.f64 (.f64 x #s(literal 1/120 binary64)) x))
accuracy	0.11328125	(.f64 x (.f64 x #s(literal 1/6 binary64)))
accuracy	0.30078125	(*.f64 x #s(literal 1/6 binary64))
accuracy	12.129039041810698	#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64))))))
accuracy	30.672491269843388	#s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64)))))
accuracy	0.07421875	(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
accuracy	0.08203125	(.f64 (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)) (.f64 x (*.f64 x x)))
accuracy	0.1015625	(.f64 x (.f64 x x))
accuracy	4.686999100187941	#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (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)) (.f64 x (*.f64 x x))) x))

Samples

71.0ms	77×	1	valid
56.0ms	134×	0	valid
54.0ms	44×	2	valid
2.0ms	1×	5	exit

Compiler

Compiled 442 to 59 computations (86.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 145.0ms

ival-mult: 58.0ms (40% of total)

const: 22.0ms (15.2% of total)

ival-exp: 22.0ms (15.2% of total)

ival-add: 20.0ms (13.8% of total)

adjust: 15.0ms (10.3% of total)

ival-div: 5.0ms (3.4% of total)

ival-sub: 2.0ms (1.4% of total)

ival-neg: 1.0ms (0.7% 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

32.1MiB live, 32.1MiB allocated

Counts

29 → 348

Calls

Call 1

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

Outputs
#s(alt x (taylor 0 x) (#s(alt (+.f64 (.f64 (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)) (.f64 x (.f64 x x))) x) (patch (+.f64 (.f64 (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)) (.f64 x (.f64 x x))) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/6 (pow x 2)))) (taylor 0 x) (#s(alt (+.f64 (.f64 (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)) (.f64 x (.f64 x x))) x) (patch (+.f64 (.f64 (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)) (.f64 x (.f64 x x))) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) (taylor 0 x) (#s(alt (+.f64 (.f64 (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)) (.f64 x (.f64 x x))) x) (patch (+.f64 (.f64 (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)) (.f64 x (.f64 x x))) 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 (+.f64 (.f64 (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)) (.f64 x (.f64 x x))) x) (patch (+.f64 (.f64 (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)) (.f64 x (.f64 x x))) x) #<representation binary64>) () ())) ())
#s(alt (* 1/5040 (pow x 7)) (taylor inf x) (#s(alt (+.f64 (.f64 (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)) (.f64 x (.f64 x x))) x) (patch (+.f64 (.f64 (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)) (.f64 x (.f64 x x))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (+.f64 (.f64 (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)) (.f64 x (.f64 x x))) x) (patch (+.f64 (.f64 (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)) (.f64 x (.f64 x x))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (+.f64 (.f64 (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)) (.f64 x (.f64 x x))) x) (patch (+.f64 (.f64 (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)) (.f64 x (.f64 x x))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) (taylor inf x) (#s(alt (+.f64 (.f64 (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)) (.f64 x (.f64 x x))) x) (patch (+.f64 (.f64 (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)) (.f64 x (.f64 x x))) x) #<representation binary64>) () ())) ())
#s(alt (* 1/5040 (pow x 7)) (taylor -inf x) (#s(alt (+.f64 (.f64 (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)) (.f64 x (.f64 x x))) x) (patch (+.f64 (.f64 (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)) (.f64 x (.f64 x x))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (+.f64 (.f64 (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)) (.f64 x (.f64 x x))) x) (patch (+.f64 (.f64 (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)) (.f64 x (.f64 x x))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040))) (taylor -inf x) (#s(alt (+.f64 (.f64 (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)) (.f64 x (.f64 x x))) x) (patch (+.f64 (.f64 (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)) (.f64 x (.f64 x x))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))))) (taylor -inf x) (#s(alt (+.f64 (.f64 (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)) (.f64 x (.f64 x x))) x) (patch (+.f64 (.f64 (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)) (.f64 x (.f64 x x))) x) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (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)) (.f64 x (.f64 x x))) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (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)) (.f64 x (.f64 x x))) 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 (.f64 (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)) (.f64 x (.f64 x x))) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (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)) (.f64 x (.f64 x x))) 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 (.f64 (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)) (.f64 x (.f64 x x))) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (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)) (.f64 x (.f64 x x))) 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 (.f64 (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)) (.f64 x (.f64 x x))) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (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)) (.f64 x (.f64 x x))) 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 (.f64 (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)) (.f64 x (.f64 x x))) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (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)) (.f64 x (.f64 x x))) 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 (.f64 (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)) (.f64 x (.f64 x x))) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (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)) (.f64 x (.f64 x x))) 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 (.f64 (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)) (.f64 x (.f64 x x))) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (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)) (.f64 x (.f64 x x))) 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 (.f64 (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)) (.f64 x (.f64 x x))) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (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)) (.f64 x (.f64 x x))) 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 (.f64 (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)) (.f64 x (.f64 x x))) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (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)) (.f64 x (.f64 x x))) 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 (.f64 (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)) (.f64 x (.f64 x x))) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (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)) (.f64 x (.f64 x x))) 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 (.f64 (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)) (.f64 x (.f64 x x))) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (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)) (.f64 x (.f64 x x))) 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 (.f64 (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)) (.f64 x (.f64 x x))) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (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)) (.f64 x (.f64 x x))) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 3)) (taylor 0 x) (#s(alt (.f64 (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)) (.f64 x (.f64 x x))) (patch (.f64 (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)) (.f64 x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1/6 (* 1/120 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 (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)) (.f64 x (.f64 x x))) (patch (.f64 (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)) (.f64 x (.f64 x x))) #<representation binary64>) () ())) ())
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#s(alt -1/14400 (taylor 0 x) (#s(alt #s(approx (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))) (patch #s(approx (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/25401600 (pow x 4)) 1/14400) (taylor 0 x) (#s(alt #s(approx (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))) (patch #s(approx (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/25401600 (pow x 4)) 1/14400) (taylor 0 x) (#s(alt #s(approx (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))) (patch #s(approx (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/25401600 (pow x 4)) 1/14400) (taylor 0 x) (#s(alt #s(approx (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))) (patch #s(approx (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/25401600 (pow x 4)) (taylor inf x) (#s(alt #s(approx (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))) (patch #s(approx (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- 1/25401600 (* 1/14400 (/ 1 (pow x 4))))) (taylor inf x) (#s(alt #s(approx (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))) (patch #s(approx (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- 1/25401600 (* 1/14400 (/ 1 (pow x 4))))) (taylor inf x) (#s(alt #s(approx (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))) (patch #s(approx (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- 1/25401600 (* 1/14400 (/ 1 (pow x 4))))) (taylor inf x) (#s(alt #s(approx (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))) (patch #s(approx (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/25401600 (pow x 4)) (taylor -inf x) (#s(alt #s(approx (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))) (patch #s(approx (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- 1/25401600 (* 1/14400 (/ 1 (pow x 4))))) (taylor -inf x) (#s(alt #s(approx (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))) (patch #s(approx (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- 1/25401600 (* 1/14400 (/ 1 (pow x 4))))) (taylor -inf x) (#s(alt #s(approx (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))) (patch #s(approx (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- 1/25401600 (* 1/14400 (/ 1 (pow x 4))))) (taylor -inf x) (#s(alt #s(approx (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))) (patch #s(approx (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))) #<representation binary64>) () ())) ())
#s(alt 1/120 (taylor 0 x) (#s(alt (/.f64 #s(approx (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) (patch (/.f64 #s(approx (+ ( (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/120 (* 1/5040 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 #s(approx (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) (patch (/.f64 #s(approx (+ ( (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/120 (* 1/5040 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 #s(approx (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) (patch (/.f64 #s(approx (+ ( (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/120 (* 1/5040 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 #s(approx (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) (patch (/.f64 #s(approx (+ ( (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/5040 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(approx (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) (patch (/.f64 #s(approx (+ ( (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #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 #s(approx (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) (patch (/.f64 #s(approx (+ ( (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #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 #s(approx (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) (patch (/.f64 #s(approx (+ ( (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #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 #s(approx (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) (patch (/.f64 #s(approx (+ ( (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/5040 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) (patch (/.f64 #s(approx (+ ( (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #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 #s(approx (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) (patch (/.f64 #s(approx (+ ( (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #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 #s(approx (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) (patch (/.f64 #s(approx (+ ( (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #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 #s(approx (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) (patch (/.f64 #s(approx (+ ( (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/25401600 (pow x 4)) (taylor 0 x) (#s(alt (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64)) (patch (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/25401600 (pow x 4)) (taylor 0 x) (#s(alt (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64)) (patch (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/25401600 (pow x 4)) (taylor 0 x) (#s(alt (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64)) (patch (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/25401600 (pow x 4)) (taylor 0 x) (#s(alt (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64)) (patch (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/25401600 (pow x 4)) (taylor inf x) (#s(alt (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64)) (patch (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/25401600 (pow x 4)) (taylor inf x) (#s(alt (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64)) (patch (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/25401600 (pow x 4)) (taylor inf x) (#s(alt (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64)) (patch (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/25401600 (pow x 4)) (taylor inf x) (#s(alt (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64)) (patch (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/25401600 (pow x 4)) (taylor -inf x) (#s(alt (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64)) (patch (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/25401600 (pow x 4)) (taylor -inf x) (#s(alt (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64)) (patch (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/25401600 (pow x 4)) (taylor -inf x) (#s(alt (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64)) (patch (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/25401600 (pow x 4)) (taylor -inf x) (#s(alt (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64)) (patch (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64)) #<representation binary64>) () ())) ())

Calls

87 calls:

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

simplify227.0ms (2%)

Memory

-6.8MiB live, 237.1MiB allocated

Algorithm

1×	egg-herbie

Rules

10 592×	`lower-fma.f64`
10 592×	`lower-fma.f32`
3 368×	`lower-*.f64`
3 368×	`lower-*.f32`
1 748×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	106	2854
1	342	2774
2	892	2768
3	2394	2768
4	5249	2768
0	8472	2562

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 338

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))))))))
(* 1/5040 (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))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* 1/120 (pow x 2))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(* (pow x 3) (+ 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))))))
(* 1/5040 (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 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))
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) (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))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (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)))
(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)
(* 1/6 x)
(* x (+ 1/6 (* 1/120 (pow x 2))))
(* x (+ 1/6 (* 1/120 (pow x 2))))
(* x (+ 1/6 (* 1/120 (pow x 2))))
(* 1/120 (pow x 3))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 3))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 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))))))
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))))))
(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)
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)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
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)))))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (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))))))
(* 1/120 (pow x 2))
(* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))
(* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))
(* (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 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5040 (* 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 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
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)))))
-1/14400
(- (* 1/25401600 (pow x 4)) 1/14400)
(- (* 1/25401600 (pow x 4)) 1/14400)
(- (* 1/25401600 (pow x 4)) 1/14400)
(* 1/25401600 (pow x 4))
(* (pow x 4) (- 1/25401600 (* 1/14400 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/25401600 (* 1/14400 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/25401600 (* 1/14400 (/ 1 (pow x 4)))))
(* 1/25401600 (pow x 4))
(* (pow x 4) (- 1/25401600 (* 1/14400 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/25401600 (* 1/14400 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/25401600 (* 1/14400 (/ 1 (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)))))
(* 1/25401600 (pow x 4))
(* 1/25401600 (pow x 4))
(* 1/25401600 (pow x 4))
(* 1/25401600 (pow x 4))
(* 1/25401600 (pow x 4))
(* 1/25401600 (pow x 4))
(* 1/25401600 (pow x 4))
(* 1/25401600 (pow x 4))
(* 1/25401600 (pow x 4))
(* 1/25401600 (pow x 4))
(* 1/25401600 (pow x 4))
(* 1/25401600 (pow x 4))

Outputs
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 x (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x)
(* 1/5040 (pow x 7))
(*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (*.f64 x x))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 x x)))))
(* 1/5040 (pow x 7))
(*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (*.f64 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 x (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x)
(* 1/2 (- (exp x) (exp (neg x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (exp (neg x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (exp (neg x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (exp (neg x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/6 (pow x 3))
(.f64 x (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/6 (* 1/120 (pow x 2))))
(.f64 x (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(.f64 x (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(.f64 x (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))
(* 1/5040 (pow x 7))
(*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (*.f64 x x))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (*.f64 x x))))
(* 1/5040 (pow x 7))
(*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (*.f64 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (*.f64 x x))))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/120 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* 1/5040 (pow x 4))
(.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* 1/5040 (pow x 4))
(.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x (.f64 x x))))
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(fma.f64 x (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x)
(* 1/5040 (pow x 7))
(*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (*.f64 x x))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 x x)))))
(* 1/5040 (pow x 7))
(*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (*.f64 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(* 1/5040 (pow x 6))
(.f64 (.f64 x x) (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x (.f64 x x)))))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(* 1/5040 (pow x 6))
(.f64 (.f64 x x) (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x (.f64 x x)))))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
1/120
#s(literal 1/120 binary64)
(+ 1/120 (* 1/5040 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(+ 1/120 (* 1/5040 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(+ 1/120 (* 1/5040 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(* 1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(* 1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/120 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(+ 1/6 (* 1/120 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(+ 1/6 (* 1/120 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/120 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* 1/5040 (pow x 4))
(.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* 1/5040 (pow x 4))
(.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
(* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
(* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
(* 1/5040 (pow x 4))
(.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
(* 1/5040 (pow x 4))
(.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
1/120
#s(literal 1/120 binary64)
(+ 1/120 (* 1/5040 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(+ 1/120 (* 1/5040 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(+ 1/120 (* 1/5040 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(* 1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(* 1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
-1/14400
#s(literal -1/14400 binary64)
(- (* 1/25401600 (pow x 4)) 1/14400)
(fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))
(- (* 1/25401600 (pow x 4)) 1/14400)
(fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))
(- (* 1/25401600 (pow x 4)) 1/14400)
(fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))
(* 1/25401600 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))
(* (pow x 4) (- 1/25401600 (* 1/14400 (/ 1 (pow x 4)))))
(fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))
(* (pow x 4) (- 1/25401600 (* 1/14400 (/ 1 (pow x 4)))))
(fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))
(* (pow x 4) (- 1/25401600 (* 1/14400 (/ 1 (pow x 4)))))
(fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))
(* 1/25401600 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))
(* (pow x 4) (- 1/25401600 (* 1/14400 (/ 1 (pow x 4)))))
(fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))
(* (pow x 4) (- 1/25401600 (* 1/14400 (/ 1 (pow x 4)))))
(fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))
(* (pow x 4) (- 1/25401600 (* 1/14400 (/ 1 (pow x 4)))))
(fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))
1/120
#s(literal 1/120 binary64)
(+ 1/120 (* 1/5040 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(+ 1/120 (* 1/5040 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(+ 1/120 (* 1/5040 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(* 1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(* 1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(* 1/25401600 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))
(* 1/25401600 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))
(* 1/25401600 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))
(* 1/25401600 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))
(* 1/25401600 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))
(* 1/25401600 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))
(* 1/25401600 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))
(* 1/25401600 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))
(* 1/25401600 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))
(* 1/25401600 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))
(* 1/25401600 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))
(* 1/25401600 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))

rewrite280.0ms (2.5%)

Memory

14.5MiB live, 398.3MiB allocated

Rules

6 770×	`lower-fma.f32`
6 754×	`lower-fma.f64`
4 354×	`lower-*.f32`
4 322×	`lower-*.f64`
3 460×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	550
0	98	494
1	392	448
2	2446	448
0	8179	429

Stop Event

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

Counts

29 → 472

Calls

Call 1

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

Outputs
(+.f64 x (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))))
(+.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))) x)
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 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 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 x (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) (neg.f64 x))))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))))) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))))) (-.f64 x (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))))))
(fma.f64 x #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 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 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x)
(fma.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x)
(fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)) x)
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) x)
(fma.f64 #s(literal 1 binary64) x (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))))
(fma.f64 (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) (.f64 x x) x)
(fma.f64 (.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 x x)) x x)
(fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x) x x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))))) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))))))) (fma.f64 x (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) (neg.f64 x)) (.f64 (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x) (fma.f64 x (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) (neg.f64 x)))))
(/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))))))) (fma.f64 x (-.f64 x (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))))) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))))))))
(/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))))))) (fma.f64 x x (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))))) (.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 x (.f64 x (*.f64 x x)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 x (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))))) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))))))) (fma.f64 x (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) (neg.f64 x)) (.f64 (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x) (fma.f64 x (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) (neg.f64 x))))))
(/.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x) (fma.f64 x (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) (neg.f64 x))) (fma.f64 x (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) (neg.f64 x)))
(/.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))))))))) (neg.f64 (fma.f64 x (-.f64 x (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))))) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))))))))
(/.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))))))))) (neg.f64 (fma.f64 x x (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))))) (.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 x (.f64 x (*.f64 x x))))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x) (fma.f64 x (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) (neg.f64 x)))) (neg.f64 (fma.f64 x (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) (neg.f64 x))))
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(fma.f64 (.f64 x #s(approx (+ ( x (* x 1/120)) 1/6) (.f64 x (.f64 x #s(literal 1/120 binary64))))) (*.f64 x x) x)
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(fma.f64 (.f64 (.f64 x x) #s(approx (+ (* x (* x 1/120)) 1/6) (.f64 x (.f64 x #s(literal 1/120 binary64))))) x x)
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(/.f64 (neg.f64 (-.f64 #s(literal 1/14400 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64)))))) (neg.f64 (-.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))
(pow.f64 (/.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x x) #s(literal 1/604800 binary64)))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64))) #s(literal -1/14400 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/14400 binary64) (.f64 (*.f64 x x) #s(literal 1/604800 binary64))))))
(.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64))) #s(literal -1/14400 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))))
(.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64))) #s(literal 1/14400 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64))) #s(literal 1/14400 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/16390160963076096000000 binary64)) #s(literal -1/2985984000000 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64)) #s(literal -1/1728000 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/645241282560000 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/207360000 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/365783040000 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64))) #s(literal 1/14400 binary64)) (.f64 (*.f64 x x) #s(literal -1/604800 binary64))))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/16390160963076096000000 binary64)) #s(literal -1/2985984000000 binary64)) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64))) #s(literal -1/14400 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/645241282560000 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/207360000 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/365783040000 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))))
(.f64 (/.f64 (fma.f64 #s(literal 1/645241282560000 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/207360000 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64)) #s(literal -1/1728000 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64))) #s(literal 1/14400 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64))) #s(literal 1/14400 binary64)) (.f64 (*.f64 x x) #s(literal -1/604800 binary64))))))
#s(approx (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64)))))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) #s(approx (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64))))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))) (/.f64 #s(approx (+ ( (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64))))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))))
(neg.f64 (/.f64 #s(approx (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64))))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))))
(neg.f64 (/.f64 (neg.f64 #s(approx (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64)))))) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) #s(approx (+ ( (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) #s(approx (+ ( (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64)))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) #s(approx (+ ( (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64)))))))))
(/.f64 #s(approx (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64))))) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))
(/.f64 (neg.f64 #s(approx (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64)))))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) #s(approx (+ ( (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) #s(approx (+ ( (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64)))))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64))))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))))
(/.f64 (.f64 #s(approx (+ ( (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64))))) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64)))))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))))))
(/.f64 (neg.f64 (.f64 #s(approx (+ ( (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64))))) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))))
(pow.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) #s(approx (+ ( (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) #s(approx (+ ( (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64)))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ ( (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64))))) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))))
(.f64 #s(approx (+ ( (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))))
(.f64 (neg.f64 #s(approx (+ ( (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(approx (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64)))))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(approx (+ ( (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64))))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64)) #s(literal -1/1728000 binary64))) (-.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64))) #s(literal 1/14400 binary64)) (.f64 (.f64 x x) #s(literal -1/604800 binary64))))
(.f64 (/.f64 #s(approx (+ ( (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64))))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64)) #s(literal -1/1728000 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64))) #s(literal 1/14400 binary64)) (.f64 (.f64 x x) #s(literal -1/604800 binary64))))))
(.f64 (/.f64 #s(approx (+ ( (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64))))) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64))) #s(literal -1/14400 binary64))) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
(.f64 (/.f64 #s(approx (+ ( (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64))))) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64))) #s(literal -1/14400 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x x) #s(literal 1/5040 binary64))) #s(literal 2 binary64)))
(pow.f64 (.f64 (.f64 x x) #s(literal 1/5040 binary64)) #s(literal 2 binary64))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64))))
(.f64 x (.f64 (.f64 x #s(literal 1/5040 binary64)) (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))
(.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25401600 binary64)))
(.f64 (.f64 x x) (.f64 (.f64 x #s(literal 1/5040 binary64)) (*.f64 x #s(literal 1/5040 binary64))))
(.f64 (.f64 x x) (.f64 #s(literal 1/5040 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))
(.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))
(.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/25401600 binary64)))
(.f64 (.f64 x #s(literal 1/5040 binary64)) (.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))
(.f64 #s(literal 1/25401600 binary64) (.f64 x (.f64 x (.f64 x x))))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))
(.f64 (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))
(.f64 (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1/5040 binary64))
(.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))) (*.f64 x #s(literal 1/5040 binary64)))
(.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64))) x)
(.f64 (.f64 (.f64 x x) #s(literal 1/25401600 binary64)) (.f64 x x))
(.f64 (.f64 (.f64 x #s(literal 1/5040 binary64)) (.f64 x #s(literal 1/5040 binary64))) (*.f64 x x))
(.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/5040 binary64)) #s(literal 1/5040 binary64)) (*.f64 x x))
(.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (*.f64 x #s(literal 1/5040 binary64))) x)
(.f64 (.f64 #s(literal 1/25401600 binary64) x) (.f64 x (.f64 x x)))

eval343.0ms (3%)

Memory: -19.9MiB live, 185.1MiB allocated
Compiler: Compiled 32 652 to 2 044 computations (93.7% saved)

prune316.0ms (2.8%)

Memory

19.5MiB live, 373.6MiB allocated

Pruning

45 alts after pruning (38 fresh and 7 done)

	Pruned	Kept	Total
New	982	18	1 000
Fresh	6	20	26
Picked	2	3	5
Done	1	4	5
Total	991	45	1 036

Accuracy

100.0%

Counts

1 036 → 45

Alt Table

Click to see full alt table

Status	Accuracy	Program
	92.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))))
✓	100.0%	(sinh.f64 x)
	89.5%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x)) x))
	59.7%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (.f64 x x) x))
	69.2%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (fma.f64 (/.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)))) #s(literal 1/6 binary64))) (.f64 x x) x))
✓	92.7%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x x) x))
	69.2%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (fma.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) (*.f64 x x) x))
	69.2%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (fma.f64 (.f64 x x) (/.f64 (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25401600 binary64)))) (-.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64))) (*.f64 x x) x))
	92.1%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64))) (*.f64 x x) x))
	89.5%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x x))
	81.0%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64) x))
	81.0%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) x x))
	89.5%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/120 binary64)) (.f64 x #s(literal 1/6 binary64))) x))
✓	88.5%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(approx (+ (* x (* x 1/120)) 1/6) (.f64 (.f64 x #s(literal 1/120 binary64)) x))) x))
	91.5%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 #s(approx (* x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) (.f64 (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 x (.f64 x x)))) (*.f64 x x) x))
	32.8%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (/.f64 (.f64 (fma.f64 #s(approx (+ ( x (* x 1/120)) 1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64))) (.f64 x (.f64 x x)) x) (fma.f64 #s(approx (+ (* x (* x 1/120)) 1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64))) (.f64 x (.f64 x x)) (neg.f64 x))) (fma.f64 #s(approx (+ (* x (* x 1/120)) 1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64))) (.f64 x (.f64 x x)) (neg.f64 x))))
	60.8%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (/.f64 (.f64 (fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (.f64 x (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))) #s(literal -1/36 binary64)) (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x))
	92.7%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (.f64 x (*.f64 x x))) x))
✓	92.7%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (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)) (.f64 x (*.f64 x x))) x))
	91.5%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 #s(approx (+ ( (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x x))) x))
	68.7%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 x (.f64 (.f64 x x) (fma.f64 x (/.f64 (.f64 x #s(approx (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64)))))) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)))) x))
	54.6%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal -1/2 binary64)))
	68.7%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (/.f64 (.f64 x #s(approx (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64)))))) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
	92.7%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) x (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
	68.7%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x (fma.f64 x (/.f64 (.f64 x #s(approx (+ ( (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64)))))) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) x #s(literal 1 binary64))))
✓	92.7%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
	69.2%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x #s(literal 1/5040 binary64))) (.f64 x (.f64 x #s(literal 1/5040 binary64))) #s(literal -1/14400 binary64)) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
	68.7%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (/.f64 #s(approx (+ ( (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 (.f64 (.f64 x x) #s(literal 1/25401600 binary64)) (.f64 x x))) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
	68.7%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (/.f64 #s(approx (+ ( (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1/5040 binary64))) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
	73.9%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (/.f64 #s(approx (+ ( (* (* x x) (* x x)) 1/25401600) -1/14400) #s(literal -1/14400 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
	68.7%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) #s(approx (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64)))))))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
	45.5%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (/ (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (+ (* (* x x) 1/5040) -1/120)))) 1/6)) 1) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))
	45.3%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (/ (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (+ (* (* x x) 1/5040) -1/120)))) 1/6)) 1) (.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))))))
	45.2%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (/ (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (+ (* (* x x) 1/5040) -1/120)))) 1/6)) 1) (.f64 (.f64 x x) (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x (.f64 x x))))))))
	45.3%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (/ (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (+ (* (* x x) 1/5040) -1/120)))) 1/6)) 1) (.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 x (*.f64 x x)))))))
	45.2%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (/ (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (+ (* (* x x) 1/5040) -1/120)))) 1/6)) 1) (.f64 x (.f64 x (.f64 x (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x x)))))))))
✓	51.8%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64))))
	42.6%	#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (.f64 x (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))))))
	42.3%	#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (.f64 x (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))))
	42.3%	#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (.f64 x (.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x)))))))
	42.3%	#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
	34.4%	#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/6 binary64))))
	34.4%	#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))))
	34.4%	#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 x (.f64 (*.f64 x x) #s(literal 1/6 binary64)))))
✓	34.4%	#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64))))))

Compiler

Compiled 2 354 to 728 computations (69.1% saved)

regimes52.0ms (0.5%)

Memory

5.5MiB live, 80.5MiB allocated

Counts

67 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 x (.f64 (*.f64 x x) #s(literal 1/6 binary64)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) x x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (.f64 x (.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x)))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (.f64 x (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (.f64 x (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (.f64 x (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(approx (+ (* x (* x 1/120)) 1/6) (.f64 (.f64 x #s(literal 1/120 binary64)) x))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(approx (+ (* x (* x 1/120)) 1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64)))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/120 binary64)) (.f64 x #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (/ (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (+ (* (* x x) 1/5040) -1/120)))) 1/6)) 1) (.f64 x (.f64 x (.f64 x (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x x)))))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (/ (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (+ (* (* x x) 1/5040) -1/120)))) 1/6)) 1) (.f64 (.f64 x x) (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x (.f64 x x))))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (/ (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (+ (* (* x x) 1/5040) -1/120)))) 1/6)) 1) (.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 x (*.f64 x x)))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (/ (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (+ (* (* x x) 1/5040) -1/120)))) 1/6)) 1) (.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (/ (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (+ (* (* x x) 1/5040) -1/120)))) 1/6)) 1) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(approx (+ ( x (* x 1/5040)) 1/120) (.f64 x (.f64 x #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 #s(approx (* x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) (.f64 (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 x (.f64 x x)))) (*.f64 x x) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64))) (*.f64 x x) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 #s(approx (+ ( (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x x))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x x) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (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)) (.f64 x (*.f64 x x))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/5040 binary64) (*.f64 x #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(approx (+ (* x (* x 1/5040)) 1/120) (.f64 x (.f64 x #s(literal 1/5040 binary64)))) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) x (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (/.f64 #s(approx (+ ( (* (* x x) (* x x)) 1/25401600) -1/14400) #s(literal -1/14400 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (.f64 x (*.f64 x x))) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (/.f64 #s(approx (+ ( (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (/.f64 #s(approx (+ ( (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 (.f64 (.f64 x x) #s(literal 1/25401600 binary64)) (.f64 x x))) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x (fma.f64 x (/.f64 (.f64 x #s(approx (+ ( (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64)))))) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (fma.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) (*.f64 x x) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 x (.f64 (.f64 x x) (fma.f64 x (/.f64 (.f64 x #s(approx (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64)))))) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (/.f64 #s(approx (+ ( (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1/5040 binary64))) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (fma.f64 (.f64 x x) (/.f64 (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25401600 binary64)))) (-.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64))) (*.f64 x x) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x #s(literal 1/5040 binary64))) (.f64 x (.f64 x #s(literal 1/5040 binary64))) #s(literal -1/14400 binary64)) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (/.f64 (.f64 x #s(approx (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64)))))) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) #s(approx (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64)))))))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (fma.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal -1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal -1/60 binary64)))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (fma.f64 (/.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)))) #s(literal 1/6 binary64))) (.f64 x x) x))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal -1/60 binary64)) (fma.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal -1/36 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))) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (.f64 x x) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (/.f64 (.f64 (fma.f64 #s(approx (+ ( x (* x 1/120)) 1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64))) (.f64 x (.f64 x x)) x) (fma.f64 #s(approx (+ (* x (* x 1/120)) 1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64))) (.f64 x (.f64 x x)) (neg.f64 x))) (fma.f64 #s(approx (+ (* x (* x 1/120)) 1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64))) (.f64 x (.f64 x x)) (neg.f64 x))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (/.f64 (.f64 (fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (.f64 x (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))) #s(literal -1/36 binary64)) (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x))
(sinh.f64 x)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal -1/2 binary64)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))

Outputs
(sinh.f64 x)

Calls

3 calls:

19.0ms	x
16.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
14.0ms	(/.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)

regimes55.0ms (0.5%)

Memory

-15.4MiB live, 63.8MiB allocated

Counts

64 → 2

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 x (.f64 (*.f64 x x) #s(literal 1/6 binary64)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) x x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (.f64 x (.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x)))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (.f64 x (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (.f64 x (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (.f64 x (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(approx (+ (* x (* x 1/120)) 1/6) (.f64 (.f64 x #s(literal 1/120 binary64)) x))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(approx (+ (* x (* x 1/120)) 1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64)))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/120 binary64)) (.f64 x #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (/ (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (+ (* (* x x) 1/5040) -1/120)))) 1/6)) 1) (.f64 x (.f64 x (.f64 x (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x x)))))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (/ (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (+ (* (* x x) 1/5040) -1/120)))) 1/6)) 1) (.f64 (.f64 x x) (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x (.f64 x x))))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (/ (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (+ (* (* x x) 1/5040) -1/120)))) 1/6)) 1) (.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 x (*.f64 x x)))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (/ (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (+ (* (* x x) 1/5040) -1/120)))) 1/6)) 1) (.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (/ (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (+ (* (* x x) 1/5040) -1/120)))) 1/6)) 1) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(approx (+ ( x (* x 1/5040)) 1/120) (.f64 x (.f64 x #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 #s(approx (* x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) (.f64 (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 x (.f64 x x)))) (*.f64 x x) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64))) (*.f64 x x) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 #s(approx (+ ( (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x x))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x x) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (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)) (.f64 x (*.f64 x x))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/5040 binary64) (*.f64 x #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(approx (+ (* x (* x 1/5040)) 1/120) (.f64 x (.f64 x #s(literal 1/5040 binary64)))) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) x (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (/.f64 #s(approx (+ ( (* (* x x) (* x x)) 1/25401600) -1/14400) #s(literal -1/14400 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (.f64 x (*.f64 x x))) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (/.f64 #s(approx (+ ( (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (/.f64 #s(approx (+ ( (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 (.f64 (.f64 x x) #s(literal 1/25401600 binary64)) (.f64 x x))) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x (fma.f64 x (/.f64 (.f64 x #s(approx (+ ( (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64)))))) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (fma.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) (*.f64 x x) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 x (.f64 (.f64 x x) (fma.f64 x (/.f64 (.f64 x #s(approx (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64)))))) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (/.f64 #s(approx (+ ( (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1/5040 binary64))) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (fma.f64 (.f64 x x) (/.f64 (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25401600 binary64)))) (-.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64))) (*.f64 x x) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x #s(literal 1/5040 binary64))) (.f64 x (.f64 x #s(literal 1/5040 binary64))) #s(literal -1/14400 binary64)) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (/.f64 (.f64 x #s(approx (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64)))))) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) #s(approx (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64)))))))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (fma.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal -1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal -1/60 binary64)))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (fma.f64 (/.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)))) #s(literal 1/6 binary64))) (.f64 x x) x))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal -1/60 binary64)) (fma.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal -1/36 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))) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (.f64 x x) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (/.f64 (.f64 (fma.f64 #s(approx (+ ( x (* x 1/120)) 1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64))) (.f64 x (.f64 x x)) x) (fma.f64 #s(approx (+ (* x (* x 1/120)) 1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64))) (.f64 x (.f64 x x)) (neg.f64 x))) (fma.f64 #s(approx (+ (* x (* x 1/120)) 1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64))) (.f64 x (.f64 x x)) (neg.f64 x))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (/.f64 (.f64 (fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (.f64 x (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))) #s(literal -1/36 binary64)) (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x))

Outputs

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

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

Calls

3 calls:

20.0ms	x
18.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
14.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
95.5%	2	`x`
92.7%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
92.7%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes22.0ms (0.2%)

Memory

0.2MiB live, 36.4MiB allocated

Counts

63 → 2

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 x (.f64 (*.f64 x x) #s(literal 1/6 binary64)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) x x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (.f64 x (.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x)))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (.f64 x (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (.f64 x (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (.f64 x (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(approx (+ (* x (* x 1/120)) 1/6) (.f64 (.f64 x #s(literal 1/120 binary64)) x))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(approx (+ (* x (* x 1/120)) 1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64)))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/120 binary64)) (.f64 x #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (/ (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (+ (* (* x x) 1/5040) -1/120)))) 1/6)) 1) (.f64 x (.f64 x (.f64 x (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x x)))))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (/ (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (+ (* (* x x) 1/5040) -1/120)))) 1/6)) 1) (.f64 (.f64 x x) (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x (.f64 x x))))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (/ (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (+ (* (* x x) 1/5040) -1/120)))) 1/6)) 1) (.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 x (*.f64 x x)))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (/ (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (+ (* (* x x) 1/5040) -1/120)))) 1/6)) 1) (.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (/ (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (+ (* (* x x) 1/5040) -1/120)))) 1/6)) 1) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(approx (+ ( x (* x 1/5040)) 1/120) (.f64 x (.f64 x #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 #s(approx (* x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) (.f64 (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 x (.f64 x x)))) (*.f64 x x) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64))) (*.f64 x x) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 #s(approx (+ ( (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x x))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x x) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (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)) (.f64 x (*.f64 x x))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/5040 binary64) (*.f64 x #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(approx (+ (* x (* x 1/5040)) 1/120) (.f64 x (.f64 x #s(literal 1/5040 binary64)))) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) x (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (/.f64 #s(approx (+ ( (* (* x x) (* x x)) 1/25401600) -1/14400) #s(literal -1/14400 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (.f64 x (*.f64 x x))) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (/.f64 #s(approx (+ ( (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (/.f64 #s(approx (+ ( (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 (.f64 (.f64 x x) #s(literal 1/25401600 binary64)) (.f64 x x))) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x (fma.f64 x (/.f64 (.f64 x #s(approx (+ ( (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64)))))) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (fma.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) (*.f64 x x) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 x (.f64 (.f64 x x) (fma.f64 x (/.f64 (.f64 x #s(approx (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64)))))) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (/.f64 #s(approx (+ ( (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1/5040 binary64))) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (fma.f64 (.f64 x x) (/.f64 (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25401600 binary64)))) (-.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64))) (*.f64 x x) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x #s(literal 1/5040 binary64))) (.f64 x (.f64 x #s(literal 1/5040 binary64))) #s(literal -1/14400 binary64)) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (/.f64 (.f64 x #s(approx (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64)))))) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) #s(approx (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64)))))))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (fma.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal -1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal -1/60 binary64)))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (fma.f64 (/.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)))) #s(literal 1/6 binary64))) (.f64 x x) x))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal -1/60 binary64)) (fma.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal -1/36 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))) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (.f64 x x) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (/.f64 (.f64 (fma.f64 #s(approx (+ ( x (* x 1/120)) 1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64))) (.f64 x (.f64 x x)) x) (fma.f64 #s(approx (+ (* x (* x 1/120)) 1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64))) (.f64 x (.f64 x x)) (neg.f64 x))) (fma.f64 #s(approx (+ (* x (* x 1/120)) 1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64))) (.f64 x (.f64 x x)) (neg.f64 x))))

Outputs

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

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

Calls

1 calls:

19.0ms

Results

Accuracy	Segments	Branch
94.4%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes46.0ms (0.4%)

Memory

8.2MiB live, 46.5MiB allocated

Counts

61 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 x (.f64 (*.f64 x x) #s(literal 1/6 binary64)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) x x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (.f64 x (.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x)))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (.f64 x (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (.f64 x (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (.f64 x (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(approx (+ (* x (* x 1/120)) 1/6) (.f64 (.f64 x #s(literal 1/120 binary64)) x))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(approx (+ (* x (* x 1/120)) 1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64)))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/120 binary64)) (.f64 x #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (/ (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (+ (* (* x x) 1/5040) -1/120)))) 1/6)) 1) (.f64 x (.f64 x (.f64 x (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x x)))))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (/ (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (+ (* (* x x) 1/5040) -1/120)))) 1/6)) 1) (.f64 (.f64 x x) (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x (.f64 x x))))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (/ (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (+ (* (* x x) 1/5040) -1/120)))) 1/6)) 1) (.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 x (*.f64 x x)))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (/ (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (+ (* (* x x) 1/5040) -1/120)))) 1/6)) 1) (.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (/ (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (+ (* (* x x) 1/5040) -1/120)))) 1/6)) 1) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(approx (+ ( x (* x 1/5040)) 1/120) (.f64 x (.f64 x #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 #s(approx (* x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) (.f64 (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 x (.f64 x x)))) (*.f64 x x) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64))) (*.f64 x x) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 #s(approx (+ ( (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x x))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x x) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (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)) (.f64 x (*.f64 x x))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/5040 binary64) (*.f64 x #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(approx (+ (* x (* x 1/5040)) 1/120) (.f64 x (.f64 x #s(literal 1/5040 binary64)))) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) x (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (/.f64 #s(approx (+ ( (* (* x x) (* x x)) 1/25401600) -1/14400) #s(literal -1/14400 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (.f64 x (*.f64 x x))) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (/.f64 #s(approx (+ ( (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (/.f64 #s(approx (+ ( (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 (.f64 (.f64 x x) #s(literal 1/25401600 binary64)) (.f64 x x))) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x (fma.f64 x (/.f64 (.f64 x #s(approx (+ ( (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64)))))) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (fma.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) (*.f64 x x) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 x (.f64 (.f64 x x) (fma.f64 x (/.f64 (.f64 x #s(approx (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64)))))) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (/.f64 #s(approx (+ ( (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1/5040 binary64))) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (fma.f64 (.f64 x x) (/.f64 (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25401600 binary64)))) (-.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64))) (*.f64 x x) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x #s(literal 1/5040 binary64))) (.f64 x (.f64 x #s(literal 1/5040 binary64))) #s(literal -1/14400 binary64)) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (/.f64 (.f64 x #s(approx (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64)))))) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) #s(approx (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64)))))))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (fma.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal -1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal -1/60 binary64)))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (fma.f64 (/.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)))) #s(literal 1/6 binary64))) (.f64 x x) x))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal -1/60 binary64)) (fma.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal -1/36 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))) #s(literal 1 binary64))))

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

Calls

3 calls:

16.0ms	x
14.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
13.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
92.7%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
92.7%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
92.7%	1	`x`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes40.0ms (0.3%)

Memory

-31.0MiB live, 25.8MiB allocated

Counts

34 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

9.0ms	x
8.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
8.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
92.7%	1	`x`
92.7%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
92.7%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes25.0ms (0.2%)

Memory

34.5MiB live, 34.5MiB allocated

Counts

32 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

9.0ms	x
7.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
7.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
92.1%	1	`x`
92.1%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
92.1%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes26.0ms (0.2%)

Memory

0.8MiB live, 38.6MiB allocated

Counts

31 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

9.0ms	x
8.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
7.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
92.1%	1	`x`
92.1%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
92.1%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes25.0ms (0.2%)

Memory

0.6MiB live, 38.6MiB allocated

Counts

29 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

8.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
8.0ms	x
7.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
91.5%	1	`x`
91.5%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
91.5%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes26.0ms (0.2%)

Memory

3.2MiB live, 38.9MiB allocated

Counts

28 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

10.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
8.0ms	x
7.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
91.5%	1	`x`
91.5%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
91.5%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes26.0ms (0.2%)

Memory

-11.9MiB live, 30.8MiB allocated

Counts

26 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

11.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
7.0ms	x
6.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
92.5%	2	`x`
92.5%	2	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
92.5%	2	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes21.0ms (0.2%)

Memory

-6.9MiB live, 30.3MiB allocated

Counts

24 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

9.0ms	x
6.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
6.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
92.5%	2	`x`
92.5%	2	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
92.5%	2	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes20.0ms (0.2%)

Memory

-3.1MiB live, 34.4MiB allocated

Counts

22 → 1

Calls

Call 1

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

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

Calls

3 calls:

8.0ms	x
5.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
5.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
89.5%	1	`x`
89.5%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
89.5%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes15.0ms (0.1%)

Memory

30.4MiB live, 30.4MiB allocated

Counts

17 → 1

Calls

Call 1

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

Outputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(approx (+ (* x (* x 1/120)) 1/6) (.f64 (.f64 x #s(literal 1/120 binary64)) x))) 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
88.5%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
88.5%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
88.5%	1	`x`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes16.0ms (0.1%)

Memory

-5.2MiB live, 31.3MiB allocated

Counts

15 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

6.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
5.0ms	x
4.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
89.2%	2	`x`
89.2%	2	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
89.2%	2	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes17.0ms (0.1%)

Memory

-19.4MiB live, 25.6MiB allocated

Counts

13 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

8.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
4.0ms	x
3.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
89.2%	2	`x`
89.2%	2	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
89.2%	2	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes10.0ms (0.1%)

Memory

21.6MiB live, 21.6MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
81.0%	1	`x`
81.0%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
81.0%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes10.0ms (0.1%)

Memory

-20.9MiB live, 16.3MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	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
81.0%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
81.0%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
81.0%	1	`x`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes6.0ms (0.1%)

Memory

14.7MiB live, 14.7MiB allocated

Counts

5 → 2

Calls

Call 1

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

Outputs

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

#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 x (*.f64 x (*.f64 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
80.4%	2	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
80.4%	2	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
80.4%	2	`x`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes4.0ms (0%)

Memory

9.3MiB live, 9.3MiB 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 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64))))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
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)))`
51.8%	1	`x`

Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch2.0ms (0%)

Memory

3.8MiB live, 3.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
1.0ms	2.4934841448301336e+61	6.926804159309308e+62

Samples

1.0ms

16×

valid

Compiler

Compiled 72 to 36 computations (50% saved)

Precisions

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

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

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

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

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

exact: 0.0ms (0% of total)

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

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

bsearch3.0ms (0%)

Memory

-36.2MiB live, 1.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
3.0ms	2.4934841448301336e+61	6.926804159309308e+62

Compiler

Compiled 71 to 35 computations (50.7% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.820754629888831	10422743627.073318

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.820754629888831	10422743627.073318

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.820754629888831	10422743627.073318

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.820754629888831	10422743627.073318

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch10.0ms (0.1%)

Memory

18.2MiB live, 18.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	1.940803301059955	23.06725614255501

Samples

5.0ms

96×

valid

Compiler

Compiled 120 to 71 computations (40.8% saved)

Precisions

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

ival-exp: 2.0ms (59% of total)

ival-div: 1.0ms (29.5% of total)

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

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

exact: 0.0ms (0% of total)

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

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

simplify19.0ms (0.2%)

Memory

-9.7MiB live, 27.2MiB allocated

Algorithm

1×	egg-herbie

Rules

92×	`*-commutative_binary64`
8×	`+-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	165	877
1	218	877
2	223	877
3	226	877
4	227	877

Stop Event

1×

saturated

Calls

Call 1

Inputs
(sinh.f64 x)
(if (<=.f64 x #s(literal 39999999999999997975485411882960754678545800440536402923356160 binary64)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (/.f64 (.f64 (fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (.f64 x (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))) #s(literal -1/36 binary64)) (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ ( (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x))))))))
(if (<=.f64 x #s(literal 39999999999999997975485411882960754678545800440536402923356160 binary64)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (.f64 x x) x)) #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x))))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x x) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64))) (*.f64 x x) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(approx (+ ( x (* x 1/5040)) 1/120) (.f64 x (.f64 x #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1 binary64))))
(if (<=.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 10 binary64)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ (* (* x x) (+ (* x (* x (/ (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (+ (* (* x x) 1/5040) -1/120)))) 1/6)) 1) (.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 x (*.f64 x x))))))))
(if (<=.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 10 binary64)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ (* (* x x) (+ (* x (* x (/ (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (+ (* (* x x) 1/5040) -1/120)))) 1/6)) 1) (.f64 x (.f64 x (.f64 x (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x x))))))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(approx (+ (* x (* x 1/120)) 1/6) (.f64 (.f64 x #s(literal 1/120 binary64)) x))) x))
(if (<=.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 10 binary64)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x x)) x)) #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (.f64 x (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))))))
(if (<=.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 10 binary64)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x x)) x)) #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x))))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 5/2 binary64)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64)))) #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64)))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64))))

Outputs
(sinh.f64 x)
(if (<=.f64 x #s(literal 39999999999999997975485411882960754678545800440536402923356160 binary64)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (/.f64 (.f64 (fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (.f64 x (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))) #s(literal -1/36 binary64)) (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ ( (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x))))))))
(if (<=.f64 x #s(literal 39999999999999997975485411882960754678545800440536402923356160 binary64)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 x (/.f64 (.f64 (fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (.f64 x (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))) #s(literal -1/36 binary64)) (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ ( (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x))))))))
(if (<=.f64 x #s(literal 39999999999999997975485411882960754678545800440536402923356160 binary64)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (.f64 x x) x)) #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x))))))))
(if (<=.f64 x #s(literal 39999999999999997975485411882960754678545800440536402923356160 binary64)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (/.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (.f64 x x) x)) #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x))))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x x) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64))) (*.f64 x x) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(approx (+ ( x (* x 1/5040)) 1/120) (.f64 x (.f64 x #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1 binary64))))
(if (<=.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 10 binary64)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ (* (* x x) (+ (* x (* x (/ (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (+ (* (* x x) 1/5040) -1/120)))) 1/6)) 1) (.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 x (*.f64 x x))))))))
(if (<=.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 10 binary64)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ (* (* x x) (+ (* x (* x (/ (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (+ (* (* x x) 1/5040) -1/120)))) 1/6)) 1) (.f64 x (.f64 (.f64 x (.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))))))
(if (<=.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 10 binary64)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ (* (* x x) (+ (* x (* x (/ (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) (+ (* (* x x) 1/5040) -1/120)))) 1/6)) 1) (.f64 x (.f64 x (.f64 x (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x x))))))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(approx (+ (* x (* x 1/120)) 1/6) (.f64 (.f64 x #s(literal 1/120 binary64)) x))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(approx (+ (* x (* x 1/120)) 1/6) (.f64 x (.f64 x #s(literal 1/120 binary64))))) x))
(if (<=.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 10 binary64)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x x)) x)) #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (.f64 x (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))))))
(if (<=.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 10 binary64)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/6 binary64)) x)) #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (.f64 x (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))))))
(if (<=.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 10 binary64)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x x)) x)) #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x))))))))
(if (<=.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 10 binary64)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/6 binary64)) x)) #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x))))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/6 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 5/2 binary64)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64)))) #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64)))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64))))

soundness2.6s (22.9%)

Memory

-321.5MiB live, 1 578.1MiB allocated

Rules

18 510×	`lower-fma.f64`
18 510×	`lower-fma.f32`
14 412×	`lower-fma.f64`
14 412×	`lower-fma.f32`
10 592×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	112	2796
1	366	2732
2	949	2694
3	2505	2688
4	6359	2688
0	8388	2486
0	7	21
0	12	17
1	47	13
2	294	13
0	3072	13
0	57	479
0	89	411
1	408	375
2	2964	375
0	8825	363
0	157	2298
1	533	2238
2	1422	2214
3	3927	2210
4	7836	2210
0	8142	2065
0	65	550
0	98	494
1	392	448
2	2446	448
0	8179	429
0	37	274
0	65	252
1	302	246
2	2267	246
0	8201	240
0	106	2854
1	342	2774
2	892	2768
3	2394	2768
4	5249	2768
0	8472	2562
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×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter 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

Compiler

Compiled 1 176 to 535 computations (54.5% saved)

preprocess144.0ms (1.3%)

Memory: -6.6MiB live, 228.1MiB allocated
Remove: (negabs x)
Compiler: Compiled 934 to 218 computations (76.7% 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%)

sample1.5s (13.5%)

explain134.0ms (1.2%)

preprocess39.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify18.0ms (0.2%)

localize50.0ms (0.4%)

series3.0ms (0%)

simplify336.0ms (2.9%)

rewrite143.0ms (1.3%)

eval106.0ms (0.9%)

prune152.0ms (1.3%)

simplify471.0ms (4.1%)

localize501.0ms (4.4%)

series119.0ms (1%)

simplify421.0ms (3.7%)

rewrite422.0ms (3.7%)

eval160.0ms (1.4%)

prune168.0ms (1.5%)

simplify203.0ms (1.8%)

localize344.0ms (3%)

series30.0ms (0.3%)

simplify249.0ms (2.2%)

rewrite316.0ms (2.8%)

eval224.0ms (2%)

prune235.0ms (2.1%)

simplify295.0ms (2.6%)

localize300.0ms (2.6%)

series19.0ms (0.2%)

simplify227.0ms (2%)

rewrite280.0ms (2.5%)

eval343.0ms (3%)

prune316.0ms (2.8%)

regimes52.0ms (0.5%)

regimes55.0ms (0.5%)

regimes22.0ms (0.2%)

regimes46.0ms (0.4%)

regimes40.0ms (0.3%)

regimes25.0ms (0.2%)

regimes26.0ms (0.2%)

regimes25.0ms (0.2%)

regimes26.0ms (0.2%)

regimes26.0ms (0.2%)

regimes21.0ms (0.2%)

regimes20.0ms (0.2%)

regimes15.0ms (0.1%)

regimes16.0ms (0.1%)

regimes17.0ms (0.1%)

regimes10.0ms (0.1%)

regimes10.0ms (0.1%)

regimes6.0ms (0.1%)

regimes4.0ms (0%)

bsearch2.0ms (0%)

bsearch3.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch10.0ms (0.1%)

simplify19.0ms (0.2%)

soundness2.6s (22.9%)

preprocess144.0ms (1.3%)

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