Metrics for Hyperbolic sine

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 10 to 9 computations (10% saved)

sample1.8s (15.1%)

Memory

11.3MiB live, 3 000.0MiB allocated

Samples

652.0ms	1 519×	2	valid
522.0ms	2 460×	1	valid
282.0ms	4 277×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

ival-exp: 766.0ms (70.4% of total)

ival-div: 129.0ms (11.9% of total)

adjust: 69.0ms (6.3% of total)

ival-sub: 69.0ms (6.3% of total)

ival-neg: 39.0ms (3.6% of total)

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

exact: 6.0ms (0.6% of total)

ival-assert: 4.0ms (0.4% of total)

Bogosity

explain436.0ms (3.6%)

Memory

-215.7MiB live, 350.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
122	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	(-315.0117511764513)	-	`(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	122	0
`exp.f64`	`(exp.f64 (neg.f64 x))`	sensitivity	1	0

Confusion

	Predicted +	Predicted -
+	122	0
-	1	133

Precision

0.991869918699187

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	122	0	0
-	1	0	133

Precision?

0.991869918699187

Recall?

1.0

Freqs

test

number	freq
0	133
1	123

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

62.0ms	88×	2	valid
26.0ms	150×	1	valid
19.0ms	274×	0	valid

Compiler

Compiled 59 to 25 computations (57.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-exp: 43.0ms (67.2% of total)

ival-div: 9.0ms (14.1% of total)

adjust: 4.0ms (6.3% of total)

ival-sub: 4.0ms (6.3% of total)

ival-neg: 2.0ms (3.1% of total)

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

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

exact: 0.0ms (0% of total)

preprocess53.0ms (0.4%)

Memory

21.8MiB live, 98.4MiB 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: 0.7MiB live, 0.7MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.8%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify20.0ms (0.2%)

Memory

-5.4MiB live, 32.1MiB 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)

localize55.0ms (0.5%)

Memory

1.0MiB live, 120.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 x)
accuracy	0	(exp.f64 (neg.f64 x))
accuracy	0	(exp.f64 x)
accuracy	28.27099241087558	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Samples

25.0ms	44×	2	valid
12.0ms	75×	1	valid
8.0ms	137×	0	valid

Compiler

Compiled 25 to 9 computations (64% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-exp: 28.0ms (77% of total)

ival-div: 3.0ms (8.3% of total)

adjust: 2.0ms (5.5% of total)

ival-sub: 2.0ms (5.5% of total)

ival-neg: 1.0ms (2.8% 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

8.0MiB live, 8.0MiB 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)))

simplify295.0ms (2.5%)

Memory

-2.9MiB live, 478.5MiB 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)

rewrite162.0ms (1.3%)

Memory

2.1MiB live, 198.3MiB 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))

eval46.0ms (0.4%)

Memory: 1.0MiB live, 115.2MiB allocated
Compiler: Compiled 6 382 to 935 computations (85.3% saved)

prune54.0ms (0.5%)

Memory

-29.7MiB live, 145.9MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	351	5	356
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	352	5	357

Accuracy

100.0%

Counts

357 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	93.1%	(/.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)
▶	91.6%	#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))
▶	83.9%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x))
▶	93.1%	#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 140 to 76 computations (45.7% saved)

simplify259.0ms (2.2%)

Memory

21.6MiB live, 449.0MiB 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)

localize385.0ms (3.2%)

Memory

-5.5MiB live, 436.7MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.03125	(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	0.03125	(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	0.27011074709088334	(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
accuracy	4.431193102923527	#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	0.0390625	(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	0.06640625	(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))
accuracy	0.09765625	(.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))
accuracy	4.431572274705302	#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	0.0625	(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
accuracy	0.0703125	(*.f64 x #s(literal 1/120 binary64))
accuracy	0.2109375	(.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
accuracy	5.4076037173139335	#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	0.3359375	(*.f64 x #s(literal 1/6 binary64))
accuracy	10.332904119012838	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x))
accuracy	0	(sinh.f64 x)

Samples

76.0ms	44×	2	valid
73.0ms	75×	1	valid
45.0ms	137×	0	valid

Compiler

Compiled 248 to 43 computations (82.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 153.0ms

ival-exp: 41.0ms (26.8% of total)

ival-mult: 33.0ms (21.6% of total)

ival-add: 32.0ms (20.9% of total)

const: 21.0ms (13.7% of total)

adjust: 16.0ms (10.5% of total)

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

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

ival-sub: 2.0ms (1.3% 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)

series24.0ms (0.2%)

Memory

23.8MiB live, 62.0MiB 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 (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))) (taylor 0 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 (* 1/5040 (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
2.0ms	x	@	inf	(* x (+ (* x (* x 1/5040)) 1/120))
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)
0.0ms	x	@	inf	(* x (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/2520) 1/60)) 1/3)) 2))

simplify348.0ms (2.9%)

Memory

3.0MiB live, 515.5MiB 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)))
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1
#s(literal 1 binary64)
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(* 1/5040 (pow x 6))
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x
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(* 2 x)
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(- (exp x) (exp (* -1 x)))
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(* 2 x)
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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))
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(* 1/2520 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/2520 binary64))
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2
#s(literal 2 binary64)
(+ 2 (* 1/3 (pow x 2)))
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(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (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)))))
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(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
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(* 1/2520 (pow x 6))
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(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
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(* 1/120 x)
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(* 1/120 x)
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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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(* 1/120 (pow x 2))
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(* 1/120 (pow x 2))
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1/120
#s(literal 1/120 binary64)
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#s(literal 1/6 binary64)
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1/60
#s(literal 1/60 binary64)
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(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))
(* 1/2520 (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)))

rewrite337.0ms (2.8%)

Memory

-12.9MiB live, 626.6MiB 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))
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(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 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))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/9 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))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 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))) (/.f64 (.f64 x (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 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))) (fma.f64 (/.f64 #s(literal 1/9 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))) (/.f64 #s(literal 1/9 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))) (.f64 (/.f64 (.f64 x (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 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))) (/.f64 #s(literal 1/9 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)))))))
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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))))

eval115.0ms (1%)

Memory: 31.9MiB live, 340.1MiB allocated
Compiler: Compiled 27 326 to 2 234 computations (91.8% saved)

prune545.0ms (4.5%)

Memory

-15.4MiB live, 438.8MiB allocated

Pruning

28 alts after pruning (25 fresh and 3 done)

	Pruned	Kept	Total
New	834	25	859
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	836	28	864

Accuracy

100.0%

Counts

864 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	66.1%	(/.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))
▶	93.1%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (+.f64 (.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))
	92.9%	(/.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)
	93.1%	#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))
	91.6%	#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))
	91.6%	#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))
	83.9%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64) x))
	91.6%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/120 binary64) (.f64 x #s(literal 1/6 binary64))) x))
	91.6%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) x))
▶	91.3%	#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))
✓	83.9%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x))
	93.1%	#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))
	83.9%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64)))) x))
	93.1%	#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)))))
	93.1%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 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))) x #s(literal 1 binary64))))
▶	93.1%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 x #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
	65.7%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) 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))))
✓	93.1%	#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))))
	65.7%	#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)) (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))))
	93.1%	#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))))
	53.6%	#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))))
▶	92.8%	#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))))
	92.8%	#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))))
	83.9%	#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))))
▶	50.3%	#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))))
	46.6%	#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 (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))))
	39.1%	#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 1 017 to 513 computations (49.6% saved)

simplify286.0ms (2.4%)

Memory

-5.3MiB live, 306.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (+.f64 (.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) (+.f64 (.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) (+.f64 (.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	128	(+.f64 (.f64 (.f64 x x) #s(literal 1/2520 binary64)) #s(literal 1/60 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 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 x (fma.f64 x #s(literal 1/120 binary64) (.f64 x (.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 (fma.f64 x #s(literal 1/120 binary64) (.f64 x (.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 (fma.f64 x #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
cost-diff	320	(fma.f64 x #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x #s(literal 1/5040 binary64)))))

Rules

12 588×	`lower-fma.f32`
12 572×	`lower-fma.f64`
3 678×	`lower-*.f32`
3 654×	`lower-*.f64`
2 626×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	543
0	84	523
1	201	523
2	461	515
3	1177	515
4	2290	515
5	3826	515
6	4559	515
7	5684	515
8	7008	515
9	7855	515
0	8056	499

Stop Event

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

Calls

Call 1

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

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

localize272.0ms (2.3%)

Memory

16.9MiB live, 502.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.03125	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))
accuracy	0.03125	(fma.f64 (.f64 x x) (+.f64 (.f64 (*.f64 x x) #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
accuracy	0.33651699709088334	(.f64 (.f64 x x) #s(literal 1/2520 binary64))
accuracy	4.431193102923527	#s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (+.f64 (.f64 (*.f64 x x) #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))
accuracy	0.06640625	(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))
accuracy	0.09765625	(.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))
accuracy	4.431572274705302	#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	29.722331171834615	#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	0.13671875	(.f64 (.f64 x x) #s(literal 1/120 binary64))
accuracy	0.2109375	(.f64 x #s(approx (+ ( x (* x 1/120)) 1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64))))
accuracy	5.4076037173139335	#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	29.875560528568318	#s(approx (+ (* x (* x 1/120)) 1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64)))
accuracy	0.0078125	(.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64)))
accuracy	4.431572274705302	#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	32.459630791068626	#s(approx (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64))
accuracy	0.04296875	(fma.f64 x #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x #s(literal 1/5040 binary64)))))
accuracy	0.08984375	(.f64 x (.f64 x (*.f64 x #s(literal 1/5040 binary64))))
accuracy	0.125	(.f64 x (.f64 x #s(literal 1/5040 binary64)))
accuracy	4.431572274705302	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 x #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))

Samples

70.0ms	44×	2	valid
68.0ms	137×	0	valid
57.0ms	75×	1	valid

Compiler

Compiled 378 to 48 computations (87.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 148.0ms

ival-mult: 43.0ms (29.1% of total)

ival-exp: 39.0ms (26.4% of total)

const: 28.0ms (19% of total)

ival-add: 17.0ms (11.5% of total)

adjust: 14.0ms (9.5% of total)

ival-div: 3.0ms (2% 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)

series26.0ms (0.2%)

Memory

-28.3MiB live, 51.0MiB allocated

Counts

28 → 336

Calls

Call 1

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

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

Calls

84 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	(+ (* (* x x) (+ (* x (+ (* x 1/120) (* x (* x (* x 1/5040))))) 1/6)) 1)
0.0ms	x	@	-inf	(* x (* x (* x 1/5040)))
0.0ms	x	@	inf	(* x (+ (* (* x x) (+ (* x (+ (* x 1/120) (* x (* x (* x 1/5040))))) 1/6)) 1))
0.0ms	x	@	inf	(* (* x x) 1/2520)
0.0ms	x	@	inf	(* x (* x 1/5040))

simplify308.0ms (2.6%)

Memory

-4.8MiB live, 443.0MiB allocated

Algorithm

1×	egg-herbie

Rules

14 286×	`lower-fma.f64`
14 286×	`lower-fma.f32`
4 078×	`lower-*.f64`
4 078×	`lower-*.f32`
3 108×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	152	3116
1	521	3062
2	1391	3016
3	3844	3010
4	7474	3010
0	8088	2837

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 327

Calls

Call 1

Inputs
(* 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)))))
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))))))
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))))))
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)))))
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)))))))
(* 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))
(* 1/5040 (pow x 3))
(* 1/5040 (pow x 3))
(* 1/5040 (pow x 3))
(* 1/5040 (pow x 3))
(* 1/5040 (pow x 3))
(* 1/5040 (pow x 3))
(* 1/5040 (pow x 3))
(* 1/5040 (pow x 3))
(* 1/5040 (pow x 3))
(* 1/5040 (pow x 3))
(* 1/5040 (pow x 3))
(* 1/5040 (pow x 3))
1/6
(+ 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)))))
(* 1/2520 (pow x 2))
(* 1/2520 (pow x 2))
(* 1/2520 (pow x 2))
(* 1/2520 (pow x 2))
(* 1/2520 (pow x 2))
(* 1/2520 (pow x 2))
(* 1/2520 (pow x 2))
(* 1/2520 (pow x 2))
(* 1/2520 (pow x 2))
(* 1/2520 (pow x 2))
(* 1/2520 (pow x 2))
(* 1/2520 (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))))))
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)))))))

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

rewrite372.0ms (3.1%)

Memory

22.5MiB live, 759.8MiB allocated

Rules

6 718×	`lower-fma.f32`
6 702×	`lower-fma.f64`
4 604×	`lower-*.f32`
4 580×	`lower-*.f64`
3 392×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	497
0	84	467
1	382	443
2	2555	443
0	9037	427

Stop Event

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

Counts

28 → 468

Calls

Call 1

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

Outputs
(+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/5040 binary64)) (.f64 x #s(literal 1/120 binary64)))
(+.f64 (.f64 x #s(literal 1/120 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/5040 binary64)))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/14400 binary64)) (.f64 x (-.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64))) (.f64 x (-.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))))))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64))) (-.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/5040 binary64)) (.f64 x #s(literal 1/120 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 1/14400 binary64)) (-.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/5040 binary64)) (.f64 x #s(literal 1/120 binary64)))))
(fma.f64 x #s(literal 1/120 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/5040 binary64)))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/5040 binary64))) (*.f64 x #s(literal 1/120 binary64)))
(fma.f64 #s(literal 1/120 binary64) x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/5040 binary64)))
(fma.f64 (.f64 x #s(literal 1/5040 binary64)) (.f64 x x) (*.f64 x #s(literal 1/120 binary64)))
(fma.f64 (.f64 x (.f64 x #s(literal 1/5040 binary64))) x (*.f64 x #s(literal 1/120 binary64)))
(fma.f64 (.f64 x x) (.f64 x #s(literal 1/5040 binary64)) (*.f64 x #s(literal 1/120 binary64)))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/5040 binary64) (*.f64 x #s(literal 1/120 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/5040 binary64)) (-.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/5040 binary64)) (.f64 x #s(literal 1/120 binary64))) (.f64 (.f64 x x) #s(literal 1/14400 binary64))) (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64)) (.f64 #s(literal 1/1728000 binary64) (.f64 x (.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (-.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64))))) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (.f64 x (-.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x #s(literal 1/5040 binary64))))))))
(/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64)) (.f64 #s(literal 1/1728000 binary64) (.f64 x (.f64 x x)))) (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/5040 binary64)) (-.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/5040 binary64)) (.f64 x #s(literal 1/120 binary64))) (.f64 (.f64 x x) #s(literal 1/14400 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64)) (.f64 #s(literal 1/1728000 binary64) (.f64 x (.f64 x x)))) (fma.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/14400 binary64)) (.f64 x (.f64 #s(literal 1/120 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/5040 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/5040 binary64)) (-.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/5040 binary64)) (.f64 x #s(literal 1/120 binary64))) (.f64 (.f64 x x) #s(literal 1/14400 binary64))) (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64)) (.f64 #s(literal 1/1728000 binary64) (.f64 x (.f64 x x)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 x (-.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64))))) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (.f64 x (-.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))))
(/.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (.f64 x (-.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))))) (.f64 x (-.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x #s(literal 1/5040 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64)) (.f64 #s(literal 1/1728000 binary64) (.f64 x (.f64 x x))))) (neg.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/5040 binary64)) (-.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/5040 binary64)) (.f64 x #s(literal 1/120 binary64))) (.f64 (.f64 x x) #s(literal 1/14400 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64)) (.f64 #s(literal 1/1728000 binary64) (.f64 x (.f64 x x))))) (neg.f64 (fma.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/14400 binary64)) (.f64 x (.f64 #s(literal 1/120 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/5040 binary64))))))))
(/.f64 (neg.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (.f64 x (-.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64))))))) (neg.f64 (.f64 x (-.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64))) (.f64 (.f64 x x) #s(literal 1/14400 binary64))) (-.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/5040 binary64)) (.f64 x #s(literal 1/120 binary64))))
(/.f64 (.f64 x (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 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal 1/14400 binary64)) (.f64 (*.f64 x x) #s(literal 1/604800 binary64))))
(/.f64 (.f64 x (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))
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(pow.f64 (/.f64 (-.f64 (fma.f64 (.f64 x x) (.f64 (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)) (.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 4 binary64)) (.f64 (.f64 x x) (.f64 (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 (.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))) (.f64 (.f64 x x) (.f64 (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)) (.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 8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (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) (.f64 (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)) (.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 -4 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.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))) (.f64 (.f64 x x) (.f64 (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)) (.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 8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) (.f64 (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)) (.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 4 binary64)) (.f64 (.f64 x x) (.f64 (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 (fma.f64 (.f64 x x) (.f64 (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)) (.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 -4 binary64)) (/.f64 #s(literal 1 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))))

eval136.0ms (1.1%)

Memory: -7.2MiB live, 361.5MiB allocated
Compiler: Compiled 31 169 to 2 162 computations (93.1% saved)

prune281.0ms (2.3%)

Memory

-10.4MiB live, 520.6MiB allocated

Pruning

35 alts after pruning (32 fresh and 3 done)

	Pruned	Kept	Total
New	916	19	935
Fresh	7	13	20
Picked	4	1	5
Done	1	2	3
Total	928	35	963

Accuracy

100.0%

Counts

963 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	92.9%	(/.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)
▶	91.3%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (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))
	91.6%	#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))
	93.1%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (.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)) x))
	83.9%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64) x))
	92.8%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 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 x x) x))
	91.3%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (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))
	91.6%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/120 binary64) (.f64 x #s(literal 1/6 binary64))) x))
✓	83.9%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x))
	91.3%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x)))) x))
	83.9%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/6 binary64)) x))
	32.1%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (/.f64 (.f64 (fma.f64 #s(approx (+ ( x (* x 1/120)) 1/6) (.f64 x (.f64 x #s(literal 1/120 binary64)))) (.f64 x (.f64 x x)) x) (fma.f64 x (.f64 #s(approx (+ ( x (* x 1/120)) 1/6) (.f64 x (.f64 x #s(literal 1/120 binary64)))) (.f64 x x)) (neg.f64 x))) (fma.f64 x (.f64 #s(approx (+ (* x (* x 1/120)) 1/6) (.f64 x (.f64 x #s(literal 1/120 binary64)))) (*.f64 x x)) (neg.f64 x))))
	93.1%	#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))
	83.9%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64)))) x))
	93.1%	#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)))))
▶	92.8%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 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 #s(literal 1 binary64))))
▶	93.1%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 x #s(literal 1/120 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
	57.9%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64))) (.f64 (.f64 x x) #s(literal 1/14400 binary64))) (-.f64 (.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))))
	65.7%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) 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))))
	65.7%	#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)) (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))))
	53.6%	#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))))
	91.6%	#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) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
	65.9%	#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 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (.f64 x x)) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))) #s(literal 1 binary64))))
	58.0%	#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 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (.f64 x (-.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))))) x) (.f64 x (-.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64))))))) #s(literal 1 binary64))))
	65.9%	#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 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (.f64 x (-.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))))) x) (/.f64 x (-.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x #s(literal 1/5040 binary64))))))) #s(literal 1 binary64))))
	92.8%	#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 (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) x)) #s(literal 1 binary64))))
	92.8%	#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 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal 1 binary64))))
▶	65.9%	#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) (/.f64 (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 (.f64 x x) (.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 binary64))))
	92.8%	#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) #s(approx (+ (* x (* x 1/5040)) 1/120) (.f64 #s(literal 1/5040 binary64) (.f64 x x))))) #s(literal 1 binary64))))
	92.8%	#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))))
✓	50.3%	#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))))
	46.6%	#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 (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))))
	46.6%	#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (.f64 #s(literal 1/120 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))))
▶	39.1%	#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 1 481 to 696 computations (53% saved)

simplify374.0ms (3.1%)

Memory

0.5MiB live, 279.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
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) (/.f64 (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 (.f64 x x) (.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 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) (/.f64 (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 (.f64 x x) (.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 binary64))))
cost-diff	128	(-.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64))))
cost-diff	128	(-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64)))
cost-diff	0	(.f64 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)))))
cost-diff	0	(fma.f64 (.f64 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 #s(literal 1 binary64))
cost-diff	0	(.f64 x (fma.f64 (.f64 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 #s(literal 1 binary64)))
cost-diff	0	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 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 #s(literal 1 binary64))))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) #s(approx (+ (* x (* x 1/120)) 1/6) (.f64 x (.f64 x #s(literal 1/120 binary64)))))
cost-diff	0	(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)
cost-diff	0	#s(approx (/ (- (exp x) (exp (neg x))) 2) (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))
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 x (fma.f64 x #s(literal 1/120 binary64) (.f64 x (.f64 (.f64 x 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 (fma.f64 x #s(literal 1/120 binary64) (.f64 x (.f64 (*.f64 x 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 (fma.f64 x #s(literal 1/120 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
cost-diff	320	(fma.f64 x #s(literal 1/120 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))

Rules

7 684×	`lower-fma.f32`
7 670×	`lower-fma.f64`
3 268×	`lower-*.f32`
3 230×	`lower-*.f64`
2 034×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	698
0	97	679
1	221	643
2	463	623
3	1112	623
4	2143	623
5	3613	623
6	5719	623
7	7958	623
0	8076	595

Stop Event

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

Calls

Call 1

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

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

localize659.0ms (5.5%)

Memory

18.5MiB live, 459.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.30576785026675346	(.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64))
accuracy	4.431572274705302	#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) (/.f64 (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 (.f64 x x) (.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 binary64))))
accuracy	21.47898940613528	(/.f64 (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))))
accuracy	29.722331171834615	#s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (.f64 (.f64 x x) (/.f64 (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))))))
accuracy	0.09765625	(.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))
accuracy	0.16796875	(.f64 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)))))
accuracy	4.431572274705302	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 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 #s(literal 1 binary64))))
accuracy	29.722331171834615	#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	0.12109375	(.f64 x (.f64 x #s(literal 1/120 binary64)))
accuracy	0.146816259768442	(.f64 (.f64 x x) #s(approx (+ (* x (* x 1/120)) 1/6) (.f64 x (.f64 x #s(literal 1/120 binary64)))))
accuracy	5.4076037173139335	#s(approx (/ (- (exp x) (exp (neg x))) 2) (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))
accuracy	29.875560528568318	#s(approx (+ (* x (* x 1/120)) 1/6) (.f64 x (.f64 x #s(literal 1/120 binary64))))
accuracy	0.109375	(.f64 x (.f64 x #s(literal 1/6 binary64)))
accuracy	0.3359375	(*.f64 x #s(literal 1/6 binary64))
accuracy	10.332904119012838	#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	29.25668443260959	#s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64)))))
accuracy	0.04296875	(fma.f64 x #s(literal 1/120 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))
accuracy	0.08984375	(.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))
accuracy	0.33766329860798794	(.f64 (.f64 x x) #s(literal 1/5040 binary64))
accuracy	4.431572274705302	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 x #s(literal 1/120 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))

Samples

149.0ms	137×	0	valid
135.0ms	44×	2	valid
98.0ms	75×	1	valid

Compiler

Compiled 446 to 55 computations (87.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 313.0ms

ival-mult: 150.0ms (47.9% of total)

ival-add: 81.0ms (25.9% of total)

ival-exp: 39.0ms (12.5% of total)

const: 18.0ms (5.8% of total)

adjust: 14.0ms (4.5% of total)

ival-div: 5.0ms (1.6% of total)

ival-sub: 5.0ms (1.6% of total)

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

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

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

exact: 0.0ms (0% of total)

series90.0ms (0.8%)

Memory

-0.8MiB live, 40.3MiB allocated

Counts

30 → 360

Calls

Call 1

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

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

Calls

90 calls:

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

simplify627.0ms (5.2%)

Memory

-16.0MiB live, 340.3MiB allocated

Algorithm

1×	egg-herbie

Rules

9 270×	`lower-fma.f64`
9 270×	`lower-fma.f32`
3 854×	`lower-*.f64`
3 854×	`lower-*.f32`
1 304×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	2992
1	382	2916
2	977	2891
3	2556	2888
4	5768	2888
0	8241	2684

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 350

Calls

Call 1

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

rewrite937.0ms (7.8%)

Memory

18.3MiB live, 654.8MiB allocated

Rules

6 522×	`lower-fma.f32`
6 508×	`lower-fma.f64`
5 190×	`lower-*.f32`
5 156×	`lower-*.f64`
4 752×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	566
0	97	495
1	391	440
2	2769	440
0	9582	424

Stop Event

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

Counts

30 → 602

Calls

Call 1

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

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

eval378.0ms (3.2%)

Memory: -8.0MiB live, 382.7MiB allocated
Compiler: Compiled 39 039 to 3 016 computations (92.3% saved)

prune292.0ms (2.4%)

Memory

4.5MiB live, 733.3MiB allocated

Pruning

41 alts after pruning (34 fresh and 7 done)

	Pruned	Kept	Total
New	1 079	20	1 099
Fresh	13	14	27
Picked	1	4	5
Done	0	3	3
Total	1 093	41	1 134

Accuracy

100.0%

Counts

1 134 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
	92.9%	(/.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)
	91.6%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 (.f64 x x) #s(approx (+ (* x (* x 1/120)) 1/6) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) x x))
✓	91.3%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (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))
	91.6%	#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))
	93.1%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (.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)) x))
	92.8%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x #s(approx (+ ( x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))) (.f64 x x) x))
	91.3%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (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))
	91.6%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/120 binary64) (.f64 x #s(literal 1/6 binary64))) x))
✓	83.9%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x))
	91.3%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 #s(approx (* (* x x) (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (.f64 x x))))) x x))
	32.1%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (/.f64 (.f64 (fma.f64 #s(approx (+ ( x (* x 1/120)) 1/6) (.f64 x (.f64 x #s(literal 1/120 binary64)))) (.f64 x (.f64 x x)) x) (fma.f64 x (.f64 #s(approx (+ ( x (* x 1/120)) 1/6) (.f64 x (.f64 x #s(literal 1/120 binary64)))) (.f64 x x)) (neg.f64 x))) (fma.f64 x (.f64 #s(approx (+ (* x (* x 1/120)) 1/6) (.f64 x (.f64 x #s(literal 1/120 binary64)))) (*.f64 x x)) (neg.f64 x))))
	93.1%	#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))
	83.9%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64)))) x))
	65.5%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/25401600 binary64) #s(literal 1/14400 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x x))))) x #s(literal 1 binary64))))
	65.5%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (.f64 (/.f64 (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (.f64 x (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) x) (/.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))))) x #s(literal 1 binary64))))
	65.5%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (.f64 (/.f64 x x) (/.f64 (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (.f64 x (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))))) x #s(literal 1 binary64))))
	65.5%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (.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)))))) x #s(literal 1 binary64))))
✓	92.8%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 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 #s(literal 1 binary64))))
✓	93.1%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 x #s(literal 1/120 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
	57.9%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64))))) (.f64 (.f64 x x) #s(literal 1/14400 binary64))) (-.f64 (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x x))) (.f64 x #s(literal 1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
	65.7%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) 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))))
	93.1%	#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) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
	53.6%	#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))))
	65.9%	#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 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (.f64 x x)) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))) #s(literal 1 binary64))))
	58.0%	#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 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (.f64 x (-.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))))) x) (.f64 x (-.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64))))))) #s(literal 1 binary64))))
	65.9%	#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) (/.f64 (fma.f64 (.f64 x x) (neg.f64 (.f64 (.f64 x x) #s(literal 1/25401600 binary64))) #s(literal 1/14400 binary64)) (-.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x #s(literal 1/5040 binary64))))))) #s(literal 1 binary64))))
	65.9%	#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) (/.f64 #s(approx (- 1/14400 (* (* (* x x) (* x x)) 1/25401600)) (.f64 (.f64 x (.f64 x (.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 binary64))))
	92.8%	#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) #s(approx (/ (- 1/14400 (* (* (* x x) (* x x)) 1/25401600)) (- 1/120 (* x (* x 1/5040)))) (.f64 #s(literal 1/5040 binary64) (.f64 x x))))) #s(literal 1 binary64))))
	92.8%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 #s(approx ( x (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) x #s(literal 1 binary64))))
	48.1%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) x) 1) (.f64 (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 x (.f64 x (*.f64 x x)))))))
	48.0%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) x) 1) (.f64 x (.f64 x (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x (.f64 x x)))))))))
✓	50.3%	#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))))
	46.8%	#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* (* x x) (+ (* x (* x 1/120)) 1/6)) x) x) (.f64 (.f64 x (.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)))))
	46.6%	#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* (* x x) (+ (* x (* x 1/120)) 1/6)) x) x) (.f64 (.f64 #s(literal 1/120 binary64) x) (.f64 x (.f64 x (*.f64 x x))))))
	46.6%	#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 (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))))
	46.6%	#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (.f64 #s(literal 1/120 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))))
	39.1%	#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)))
	39.1%	#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))))
	39.1%	#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)))))
✓	39.1%	#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 2 306 to 704 computations (69.5% saved)

regimes54.0ms (0.4%)

Memory

2.8MiB live, 121.0MiB allocated

Counts

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

Outputs
(sinh.f64 x)

Calls

3 calls:

19.0ms	x
15.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
15.0ms	(/.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)

regimes51.0ms (0.4%)

Memory

-1.8MiB live, 115.6MiB allocated

Counts

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

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:

18.0ms	x
15.0ms	(-.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
93.1%	1	`x`
93.1%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
93.1%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes35.0ms (0.3%)

Memory

21.2MiB live, 67.3MiB allocated

Counts

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

14.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
11.0ms	x
8.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
93.1%	1	`x`
93.1%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
93.1%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes30.0ms (0.3%)

Memory

-22.0MiB live, 55.4MiB allocated

Counts

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

Outputs

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

Calls

3 calls:

12.0ms	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
92.8%	1	`x`
92.8%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
92.8%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes26.0ms (0.2%)

Memory

11.1MiB live, 49.3MiB 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 (.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) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 (.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))))
#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) (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 x)) #s(literal 1/6 binary64) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 x (.f64 x (*.f64 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 #s(literal 1/120 binary64) (.f64 (.f64 x (.f64 x (*.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 (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* (* x x) (+ (* x (* x 1/120)) 1/6)) x) x) (.f64 (.f64 #s(literal 1/120 binary64) x) (.f64 x (.f64 x (*.f64 x x))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* (* x x) (+ (* x (* x 1/120)) 1/6)) x) x) (.f64 (.f64 x (.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 #s(approx (* (* x x) (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (.f64 x x))))) x x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x 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 #s(approx (+ ( x (* x 1/120)) 1/6) (.f64 x (.f64 x #s(literal 1/120 binary64))))) (*.f64 x x) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (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))
#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) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) #s(literal 1 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 (.f64 x x) (.f64 x (fma.f64 (*.f64 x 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 (.f64 (.f64 x x) #s(approx (+ (* x (* x 1/120)) 1/6) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) 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 (.f64 x 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 1/5040)) 1/120))) 1/6)) x) 1) (.f64 x (.f64 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 1/5040)) 1/120))) 1/6)) x) 1) (.f64 (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 x (.f64 x (*.f64 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) (.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 (fma.f64 (.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (.f64 (.f64 x x) #s(approx (+ (* x (* x 1/5040)) 1/120) (.f64 #s(literal 1/5040 binary64) (.f64 x x))))) #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) #s(approx (/ (- 1/14400 (* (* (* x x) (* x x)) 1/25401600)) (- 1/120 (* x (* x 1/5040)))) (.f64 #s(literal 1/5040 binary64) (.f64 x x))))) #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 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1 binary64))))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
92.8%	1	`x`
92.8%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
92.8%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes24.0ms (0.2%)

Memory

3.1MiB live, 44.9MiB 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 (.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) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 (.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))))
#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) (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 x)) #s(literal 1/6 binary64) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 x (.f64 x (*.f64 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 #s(literal 1/120 binary64) (.f64 (.f64 x (.f64 x (*.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 (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* (* x x) (+ (* x (* x 1/120)) 1/6)) x) x) (.f64 (.f64 #s(literal 1/120 binary64) x) (.f64 x (.f64 x (*.f64 x x))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* (* x x) (+ (* x (* x 1/120)) 1/6)) x) x) (.f64 (.f64 x (.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 #s(approx (* (* x x) (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (.f64 x x))))) x x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x 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 #s(approx (+ ( x (* x 1/120)) 1/6) (.f64 x (.f64 x #s(literal 1/120 binary64))))) (*.f64 x x) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (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))
#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) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) #s(literal 1 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 (.f64 x x) (.f64 x (fma.f64 (*.f64 x 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 (.f64 (.f64 x x) #s(approx (+ (* x (* x 1/120)) 1/6) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) 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 (.f64 x 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 1/5040)) 1/120))) 1/6)) x) 1) (.f64 x (.f64 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 1/5040)) 1/120))) 1/6)) x) 1) (.f64 (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 x (.f64 x (*.f64 x x)))))))

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) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) #s(literal 1 binary64))))

Calls

3 calls:

9.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
8.0ms	x
6.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
91.6%	1	`x`
91.6%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
91.6%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes18.0ms (0.1%)

Memory

2.2MiB live, 40.9MiB allocated

Counts

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

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

Calls

3 calls:

7.0ms	x
5.0ms	(-.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
91.3%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
91.3%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
91.3%	1	`x`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes13.0ms (0.1%)

Memory

0.4MiB live, 39.8MiB allocated

Counts

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

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

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes12.0ms (0.1%)

Memory

-5.7MiB live, 33.8MiB 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 (.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) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 (.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))))
#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) (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 x)) #s(literal 1/6 binary64) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 x (.f64 x (*.f64 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 #s(literal 1/120 binary64) (.f64 (.f64 x (.f64 x (*.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 (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* (* x x) (+ (* x (* x 1/120)) 1/6)) x) x) (.f64 (.f64 #s(literal 1/120 binary64) x) (.f64 x (.f64 x (*.f64 x x))))))

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))))

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes11.0ms (0.1%)

Memory

-12.4MiB live, 30.5MiB 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 (.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) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 (.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))))
#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) (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 x)) #s(literal 1/6 binary64) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64)))) x))

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:

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

Results

Accuracy	Segments	Branch
83.9%	1	`x`
83.9%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
83.9%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes7.0ms (0.1%)

Memory

16.0MiB live, 16.0MiB 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 (.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) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)))

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

Results

Accuracy	Segments	Branch
83.6%	2	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
83.6%	2	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
83.6%	2	`x`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes4.0ms (0%)

Memory

9.5MiB live, 9.5MiB 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 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
1.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
50.3%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
50.3%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
50.3%	1	`x`

Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch14.0ms (0.1%)

Memory

-13.4MiB live, 26.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.00048323272414246853	7.523077178528339

Samples

7.0ms

128×

valid

Compiler

Compiled 236 to 131 computations (44.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-exp: 3.0ms (64.4% of total)

ival-sub: 1.0ms (21.5% of total)

ival-div: 1.0ms (21.5% 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)

bsearch7.0ms (0.1%)

Memory

14.2MiB live, 14.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
6.0ms	0.00048323272414246853	7.523077178528339

Samples

4.0ms

64×

valid

Compiler

Compiled 228 to 131 computations (42.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-exp: 1.0ms (42.8% of total)

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

ival-div: 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)

bsearch6.0ms (0.1%)

Memory

-28.9MiB live, 10.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
6.0ms	0.00048323272414246853	7.523077178528339

Samples

3.0ms

48×

valid

Compiler

Compiled 156 to 91 computations (41.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-exp: 1.0ms (57.6% of total)

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

ival-div: 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)

simplify9.0ms (0.1%)

Memory

20.4MiB live, 20.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	98	481
1	123	481

Stop Event

1×

saturated

Calls

Call 1

Inputs
(sinh.f64 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 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 #s(approx ( x (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) x #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))))
#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) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #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 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (.f64 x x))))) x x))
(if (<=.f64 x #s(literal 3715469692580659/1125899906842624 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) #s(approx (+ (* (* (* x x) (+ (* x (* x 1/120)) 1/6)) x) x) (.f64 (.f64 x (.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))))))
(if (<=.f64 x #s(literal 5 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) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (.f64 #s(literal 1/120 binary64) (.f64 (.f64 x (.f64 x (*.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)
#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 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 #s(approx ( x (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) x #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))))
#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) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #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 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (.f64 x x))))) x x))
(if (<=.f64 x #s(literal 3715469692580659/1125899906842624 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) #s(approx (+ (* (* (* x x) (+ (* x (* x 1/120)) 1/6)) x) x) (.f64 (.f64 x (.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))))))
(if (<=.f64 x #s(literal 5 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) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (.f64 #s(literal 1/120 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) x)))))
(if (<=.f64 x #s(literal 5 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) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (.f64 x (*.f64 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))))

soundness1.6s (13.5%)

Memory

-14.4MiB live, 1 210.9MiB allocated

Rules

18 510×	`lower-fma.f64`
18 510×	`lower-fma.f32`
14 412×	`lower-fma.f64`
14 412×	`lower-fma.f32`
14 286×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	152	3116
1	521	3062
2	1391	3016
3	3844	3010
4	7474	3010
0	8088	2837
0	120	2992
1	382	2916
2	977	2891
3	2556	2888
4	5768	2888
0	8241	2684
0	56	497
0	84	467
1	382	443
2	2555	443
0	9037	427
0	157	2298
1	533	2238
2	1422	2214
3	3927	2210
4	7836	2210
0	8142	2065
0	74	323
1	218	322
2	536	316
3	1389	316
4	2118	316
5	3210	316
6	3762	316
7	5168	316
8	6336	316
9	7581	316
0	8147	294
0	7	21
0	12	17
1	47	13
2	294	13
0	3072	13

Stop Event

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

Compiler

Compiled 548 to 263 computations (52% saved)

preprocess69.0ms (0.6%)

Memory: 38.8MiB live, 156.1MiB allocated
Remove: (negabs x)
Compiler: Compiled 414 to 116 computations (72% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

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

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

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.8s (15.1%)

explain436.0ms (3.6%)

preprocess53.0ms (0.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify20.0ms (0.2%)

localize55.0ms (0.5%)

series3.0ms (0%)

simplify295.0ms (2.5%)

rewrite162.0ms (1.3%)

eval46.0ms (0.4%)

prune54.0ms (0.5%)

simplify259.0ms (2.2%)

localize385.0ms (3.2%)

series24.0ms (0.2%)

simplify348.0ms (2.9%)

rewrite337.0ms (2.8%)

eval115.0ms (1%)

prune545.0ms (4.5%)

simplify286.0ms (2.4%)

localize272.0ms (2.3%)

series26.0ms (0.2%)

simplify308.0ms (2.6%)

rewrite372.0ms (3.1%)

eval136.0ms (1.1%)

prune281.0ms (2.3%)

simplify374.0ms (3.1%)

localize659.0ms (5.5%)

series90.0ms (0.8%)

simplify627.0ms (5.2%)

rewrite937.0ms (7.8%)

eval378.0ms (3.2%)

prune292.0ms (2.4%)

regimes54.0ms (0.4%)

regimes51.0ms (0.4%)

regimes35.0ms (0.3%)

regimes30.0ms (0.3%)

regimes26.0ms (0.2%)

regimes24.0ms (0.2%)

regimes18.0ms (0.1%)

regimes13.0ms (0.1%)

regimes12.0ms (0.1%)

regimes11.0ms (0.1%)

regimes7.0ms (0.1%)

regimes4.0ms (0%)

bsearch14.0ms (0.1%)

bsearch7.0ms (0.1%)

bsearch6.0ms (0.1%)

simplify9.0ms (0.1%)

soundness1.6s (13.5%)

preprocess69.0ms (0.6%)

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