Metrics for Hyperbolic sine

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.9MiB live, 0.9MiB 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)

sample2.0s (17.6%)

Memory

-125.0MiB live, 2 439.5MiB allocated

Samples

669.0ms	1 479×	2	valid
513.0ms	4 356×	0	valid
490.0ms	2 421×	1	valid

Precisions

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

ival-exp: 727.0ms (62% of total)

ival-div: 154.0ms (13.1% of total)

adjust: 141.0ms (12% of total)

ival-sub: 74.0ms (6.3% of total)

ival-neg: 64.0ms (5.5% of total)

ival-true: 6.0ms (0.5% of total)

exact: 5.0ms (0.4% of total)

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

Bogosity

explain183.0ms (1.6%)

Memory

15.5MiB live, 258.4MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`	cancellation	112	0

Confusion

	Predicted +	Predicted -
+	112	0
-	0	144

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	112	0	0
-	0	0	144

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	144
1	112

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

53.0ms	122×	1	valid
38.0ms	94×	2	valid
33.0ms	296×	0	valid

Compiler

Compiled 59 to 25 computations (57.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 107.0ms

ival-exp: 64.0ms (59.6% of total)

ival-sub: 19.0ms (17.7% of total)

adjust: 15.0ms (14% of total)

ival-div: 6.0ms (5.6% of total)

ival-neg: 2.0ms (1.9% of total)

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

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

exact: 0.0ms (0% of total)

preprocess46.0ms (0.4%)

Memory

-5.4MiB live, 70.4MiB 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: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	59.9%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify25.0ms (0.2%)

Memory

-20.0MiB live, 34.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(exp.f64 (neg.f64 x))
cost-diff	0	(exp.f64 x)
cost-diff	0	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
cost-diff	384	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize62.0ms (0.5%)

Memory

27.5MiB live, 65.2MiB 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	25.658360612108787	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Samples

25.0ms	61×	1	valid
19.0ms	47×	2	valid
8.0ms	148×	0	valid

Compiler

Compiled 25 to 9 computations (64% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-exp: 21.0ms (48.1% of total)

ival-div: 18.0ms (41.2% of total)

adjust: 2.0ms (4.6% of total)

ival-sub: 2.0ms (4.6% of total)

ival-neg: 1.0ms (2.3% of total)

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

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

exact: 0.0ms (0% of total)

series39.0ms (0.3%)

Memory

-33.3MiB live, 4.3MiB allocated

Counts

5 → 60

Calls

Call 1

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

Outputs
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 1/3 (pow x 2))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))>
#<alt (- (exp x) (exp (neg x)))>
#<alt (- (exp x) (exp (neg x)))>
#<alt (- (exp x) (exp (neg x)))>
#<alt (- (exp x) (exp (neg x)))>
#<alt (- (exp x) (exp (* -1 x)))>
#<alt (- (exp x) (exp (* -1 x)))>
#<alt (- (exp x) (exp (* -1 x)))>
#<alt (- (exp x) (exp (* -1 x)))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>

Calls

15 calls:

Time	Variable		Point	Expression
36.0ms	x	@	0	(exp (neg x))
1.0ms	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)

simplify295.0ms (2.6%)

Memory

50.5MiB live, 466.1MiB 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)

rewrite182.0ms (1.6%)

Memory

-13.1MiB live, 212.9MiB 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)))
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(.f64 (cosh.f64 x) (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) (cosh.f64 x)))
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(exp.f64 x)
(/.f64 (exp.f64 x) #s(literal 1 binary64))
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(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))))
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(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 x))))
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(-.f64 #s(literal 0 binary64) x)
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(-.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))
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(/.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))

eval83.0ms (0.7%)

Memory: -23.9MiB live, 58.4MiB allocated
Compiler: Compiled 6 382 to 935 computations (85.3% saved)

prune72.0ms (0.6%)

Memory

-8.0MiB live, 69.0MiB 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
▶	91.5%	(/.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)
▶	88.1%	#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))
▶	80.7%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x))
▶	91.5%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.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)

simplify272.0ms (2.4%)

Memory

31.4MiB live, 339.4MiB 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)

localize278.0ms (2.5%)

Memory

-19.3MiB live, 315.4MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.049160009768442016	(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	0.06640625	(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
accuracy	0.0703125	(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	5.419102325249382	#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	0.06640625	(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))
accuracy	0.0703125	(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	0.08984375	(.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))
accuracy	5.419887639475025	#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	0.1015625	(*.f64 x #s(literal 1/120 binary64))
accuracy	0.1171875	(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
accuracy	0.1796875	(.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
accuracy	7.619127940465385	#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	0.05859375	(fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x)
accuracy	0.34375	(*.f64 x #s(literal 1/6 binary64))
accuracy	12.382773658255019	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x))
accuracy	0.00390625	(sinh.f64 x)

Samples

63.0ms	47×	2	valid
47.0ms	61×	1	valid
44.0ms	148×	0	valid

Compiler

Compiled 248 to 43 computations (82.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 116.0ms

ival-mult: 35.0ms (30.2% of total)

ival-exp: 22.0ms (19% of total)

const: 21.0ms (18.1% of total)

ival-add: 16.0ms (13.8% of total)

adjust: 13.0ms (11.2% of total)

ival-div: 3.0ms (2.6% of total)

ival-sub: 3.0ms (2.6% of total)

ival-sinh: 2.0ms (1.7% of total)

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

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

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

exact: 0.0ms (0% of total)

series27.0ms (0.2%)

Memory

-8.3MiB live, 29.7MiB allocated

Counts

21 → 252

Calls

Call 1

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

Outputs
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* 1/6 (pow x 3))>
#<alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* 1/6 (pow x 3))>
#<alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* 1/120 (pow x 5))>
#<alt (* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/120 (pow x 5))>
#<alt (* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* x (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* x (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* 1/120 (pow x 3))>
#<alt (* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 1/120 (pow x 3))>
#<alt (* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))>
#<alt (* 1/5040 (pow x 7))>
#<alt (* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/5040 (pow x 7))>
#<alt (* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 1/3 (pow x 2))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))>
#<alt (- (exp x) (exp (neg x)))>
#<alt (- (exp x) (exp (neg x)))>
#<alt (- (exp x) (exp (neg x)))>
#<alt (- (exp x) (exp (neg x)))>
#<alt (- (exp x) (exp (* -1 x)))>
#<alt (- (exp x) (exp (* -1 x)))>
#<alt (- (exp x) (exp (* -1 x)))>
#<alt (- (exp x) (exp (* -1 x)))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 1/3 (pow x 2))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))>
#<alt (* 1/2520 (pow x 7))>
#<alt (* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))>
#<alt (* 1/2520 (pow x 7))>
#<alt (* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))))>
#<alt 2>
#<alt (+ 2 (* 1/3 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))>
#<alt (* 1/2520 (pow x 6))>
#<alt (* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))>
#<alt (* 1/2520 (pow x 6))>
#<alt (* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))>
#<alt 1/6>
#<alt (+ 1/6 (* 1/120 (pow x 2)))>
#<alt (+ 1/6 (* 1/120 (pow x 2)))>
#<alt (+ 1/6 (* 1/120 (pow x 2)))>
#<alt (* 1/120 (pow x 2))>
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 1/120 (pow x 2))>
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* x (+ 1/120 (* 1/5040 (pow x 2))))>
#<alt (* x (+ 1/120 (* 1/5040 (pow x 2))))>
#<alt (* x (+ 1/120 (* 1/5040 (pow x 2))))>
#<alt (* 1/5040 (pow x 3))>
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* 1/5040 (pow x 3))>
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt 1/120>
#<alt (+ 1/120 (* 1/5040 (pow x 2)))>
#<alt (+ 1/120 (* 1/5040 (pow x 2)))>
#<alt (+ 1/120 (* 1/5040 (pow x 2)))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt 1/60>
#<alt (+ 1/60 (* 1/2520 (pow x 2)))>
#<alt (+ 1/60 (* 1/2520 (pow x 2)))>
#<alt (+ 1/60 (* 1/2520 (pow x 2)))>
#<alt (* 1/2520 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* 1/2520 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt 1/3>
#<alt (+ 1/3 (* 1/60 (pow x 2)))>
#<alt (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))>
#<alt (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))>
#<alt (* 1/2520 (pow x 4))>
#<alt (* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))>
#<alt (* 1/2520 (pow x 4))>
#<alt (* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))>

Calls

63 calls:

Time	Variable		Point	Expression
13.0ms	x	@	0	(* x (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1))
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))

simplify279.0ms (2.5%)

Memory

11.2MiB live, 315.4MiB allocated

Algorithm

1×	egg-herbie

Rules

13 992×	`lower-fma.f64`
13 992×	`lower-fma.f32`
4 086×	`lower-*.f64`
4 086×	`lower-*.f32`
3 014×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	154	2164
1	517	2104
2	1379	2080
3	3827	2076
4	7709	2076
0	8015	1942

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 244

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

rewrite504.0ms (4.5%)

Memory

8.1MiB live, 527.0MiB 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	263
0	65	241
1	302	235
2	2267	235
0	8201	229

Stop Event

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

Counts

21 → 475

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))
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(*.f64 x #s(literal 1/120 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 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))

Outputs
(+.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) (neg.f64 (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal -2 binary64)))
(-.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))
(-.f64 (/.f64 (/.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))) #s(literal 2 binary64)) (/.f64 (/.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))) #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 x x)) (.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64)) (/.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64)))
(-.f64 (/.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))))) (/.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))) (.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))))))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x)))) (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x)))))
(-.f64 (/.f64 (.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) #s(literal 4 binary64)))
(-.f64 (/.f64 (.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))))) (/.f64 (.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))))))
(-.f64 (/.f64 (pow.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64))))
(neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal -2 binary64)))
(sinh.f64 x)
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)))))
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) #s(literal -2 binary64))
(/.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal 1 binary64))))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (-.f64 (.f64 (exp.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))) #s(literal 4 binary64))
(/.f64 (neg.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))))) (neg.f64 (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))) (neg.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x)))))
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal 1/8 binary64)) (.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))) #s(literal 1/8 binary64))) (+.f64 (pow.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64))))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))))
(/.f64 (.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 x)))
(/.f64 (-.f64 (neg.f64 (exp.f64 x)) (neg.f64 (exp.f64 (neg.f64 x)))) #s(literal -2 binary64))
(/.f64 (-.f64 (.f64 (exp.f64 x) (/.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))))
(/.f64 (-.f64 (.f64 (exp.f64 x) (.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (exp.f64 x))))
(/.f64 (-.f64 (.f64 (exp.f64 x) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (neg.f64 (exp.f64 (neg.f64 x))))) #s(literal -4 binary64))
(/.f64 (-.f64 #s(literal 2 binary64) (.f64 (/.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 (neg.f64 x)))) (.f64 (/.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))) (.f64 (/.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 2 binary64) (exp.f64 x)) (/.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (exp.f64 x))) (.f64 (/.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 2 binary64) (exp.f64 x)) (*.f64 #s(literal 2 binary64) (exp.f64 x))))
(/.f64 (-.f64 #s(literal -2 binary64) (.f64 (/.f64 #s(literal 2 binary64) (exp.f64 x)) (neg.f64 (exp.f64 (neg.f64 x))))) (.f64 (/.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal -2 binary64)))
(/.f64 (-.f64 (.f64 (neg.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 x)))) #s(literal -4 binary64))
(/.f64 (-.f64 (.f64 (neg.f64 (exp.f64 x)) (/.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))) #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))))
(/.f64 (-.f64 (.f64 (neg.f64 (exp.f64 x)) (.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (exp.f64 x))))
(/.f64 (-.f64 (.f64 (neg.f64 (exp.f64 x)) #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) (neg.f64 (exp.f64 (neg.f64 x))))) #s(literal 4 binary64))
(/.f64 (neg.f64 (-.f64 (.f64 (exp.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))))) #s(literal -4 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (-.f64 (.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal 1/8 binary64)) (.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))) #s(literal 1/8 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) #s(literal 1/2 binary64))) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))))
(/.f64 (neg.f64 (.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 1/2 binary64))) (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (fma.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal 1/8 binary64) (pow.f64 (neg.f64 (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (neg.f64 (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64))) (neg.f64 (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))) (.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64))
(.f64 #s(literal 2 binary64) (.f64 (sinh.f64 x) #s(literal 1/2 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (sinh.f64 x))
(.f64 (.f64 #s(literal -2 binary64) (sinh.f64 x)) #s(literal -1/2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))
(.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -1 binary64)))
(.f64 (cosh.f64 x) (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))))
(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x))))
(.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))))
(*.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (.f64 x (.f64 x #s(literal 1/6 binary64))) x))
(+.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(+.f64 (.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64)))) x)
(-.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x (.f64 x #s(literal 1/6 binary64))) (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64))) (neg.f64 x))))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/6 binary64)))))) (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (-.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64)))))))
(fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/6 binary64))) 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)
(fma.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x x) x)
(fma.f64 #s(literal 1 binary64) x (.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64) x)
(fma.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) x x)
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(.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))))

eval185.0ms (1.6%)

Memory: 32.0MiB live, 226.6MiB allocated
Compiler: Compiled 25 436 to 2 106 computations (91.7% saved)

prune311.0ms (2.7%)

Memory

1.9MiB live, 200.3MiB allocated

Pruning

25 alts after pruning (21 fresh and 4 done)

	Pruned	Kept	Total
New	798	21	819
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	799	25	824

Accuracy

100.0%

Counts

824 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	91.5%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2520 binary64) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
	68.9%	(/.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))
	68.9%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal -1/60 binary64)))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
	91.4%	(/.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))))))
	91.5%	(.f64 #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(literal 1/2 binary64))
✓	100.0%	(sinh.f64 x)
	91.5%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x x) x))
	88.1%	#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))
	80.7%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64) x))
✓	88.1%	#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))
	87.7%	#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))
✓	80.7%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x))
▶	87.7%	#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))
▶	91.5%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x))) x))
	91.5%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 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)))))
	91.5%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
▶	91.5%	#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))))
	68.9%	#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))))
✓	91.5%	#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))))
	91.4%	#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 (.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
	91.4%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(approx (* x (+ (* x (* x 1/5040)) 1/120)) (.f64 #s(literal 1/5040 binary64) (.f64 x (*.f64 x x)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
	80.6%	#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) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))))
▶	46.6%	#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))))
	46.9%	#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))))
	39.7%	#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 880 to 455 computations (48.3% saved)

simplify426.0ms (3.8%)

Memory

-30.8MiB live, 454.8MiB 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 (.f64 x x) (.f64 x x)) #s(literal 1/2520 binary64) (fma.f64 (.f64 x x) #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 (.f64 x x) (.f64 x x)) #s(literal 1/2520 binary64) (fma.f64 (.f64 x x) #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 (.f64 x x) (.f64 x x)) #s(literal 1/2520 binary64) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
cost-diff	640	(fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2520 binary64) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))
cost-diff	0	(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
cost-diff	0	(fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x #s(literal 1 binary64))
cost-diff	0	(.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)))
cost-diff	0	#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))))
cost-diff	0	#s(approx (* x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x))))
cost-diff	0	(*.f64 x x)
cost-diff	0	(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)
cost-diff	0	#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))
cost-diff	0	#s(approx (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64))
cost-diff	0	(.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64)))
cost-diff	0	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64))))
cost-diff	0	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x)))
cost-diff	0	#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x))) x))
cost-diff	128	(+.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x))) x)

Rules

14 046×	`lower-fma.f32`
14 032×	`lower-fma.f64`
4 148×	`lower-*.f32`
4 130×	`lower-*.f64`
2 100×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	495
0	77	454
1	199	442
2	453	442
3	1189	442
4	2144	442
5	3181	442
6	3574	442
7	4590	442
8	5730	442
9	6361	442
10	6708	442
11	7386	442
0	8084	435

Stop Event

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

Calls

Call 1

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

localize242.0ms (2.1%)

Memory

14.3MiB live, 521.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0703125	(fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2520 binary64) (fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))
accuracy	0.0859375	(fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
accuracy	0.170253759768442	(.f64 (.f64 x x) (*.f64 x x))
accuracy	5.419102325249382	#s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2520 binary64) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
accuracy	0.05306625976844202	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
accuracy	0.06640625	(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
accuracy	0.171875	(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
accuracy	5.419887639475025	#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))))
accuracy	0.0625	(.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x)))
accuracy	0.1015625	(.f64 x (.f64 x x))
accuracy	7.619127940465385	#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))
accuracy	26.783185735478654	#s(approx (* x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x))))
accuracy	0.0234375	(.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64)))
accuracy	5.419887639475025	#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	34.84491353358814	#s(approx (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64))
accuracy	0.06640625	(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
accuracy	0.08431625976844202	(.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x)))
accuracy	0.1015625	(.f64 x (.f64 x x))
accuracy	5.419887639475025	#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x))) x))

Samples

72.0ms	47×	2	valid
56.0ms	148×	0	valid
52.0ms	61×	1	valid

Compiler

Compiled 373 to 52 computations (86.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 139.0ms

ival-mult: 48.0ms (34.4% of total)

ival-add: 27.0ms (19.4% of total)

ival-exp: 22.0ms (15.8% of total)

const: 20.0ms (14.3% of total)

adjust: 15.0ms (10.8% of total)

ival-div: 3.0ms (2.2% 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)

series9.0ms (0.1%)

Memory

18.8MiB live, 18.8MiB allocated

Counts

25 → 300

Calls

Call 1

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

Outputs
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))>
#<alt (* 1/5040 (pow x 7))>
#<alt (* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/5040 (pow x 7))>
#<alt (* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))>
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/6 (pow x 3))>
#<alt (* (pow x 3) (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))>
#<alt (* (pow x 3) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))>
#<alt (* 1/5040 (pow x 7))>
#<alt (* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* 1/5040 (pow x 7))>
#<alt (* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))>
#<alt 1/6>
#<alt (+ 1/6 (* 1/120 (pow x 2)))>
#<alt (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))>
#<alt (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))>
#<alt (* 1/5040 (pow x 4))>
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* 1/5040 (pow x 4))>
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))>
#<alt (* 1/5040 (pow x 7))>
#<alt (* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/5040 (pow x 7))>
#<alt (* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* 1/120 (pow x 5))>
#<alt (* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/120 (pow x 5))>
#<alt (* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* x (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* x (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* 1/120 (pow x 3))>
#<alt (* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 1/120 (pow x 3))>
#<alt (* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))>
#<alt (* 1/5040 (pow x 7))>
#<alt (* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/5040 (pow x 7))>
#<alt (* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* x (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))>
#<alt (* x (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))>
#<alt (* 1/5040 (pow x 5))>
#<alt (* (pow x 5) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* 1/5040 (pow x 5))>
#<alt (* (pow x 5) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))>
#<alt 1/3>
#<alt (+ 1/3 (* 1/60 (pow x 2)))>
#<alt (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))>
#<alt (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))>
#<alt (* 1/2520 (pow x 4))>
#<alt (* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))>
#<alt (* 1/2520 (pow x 4))>
#<alt (* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))>
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 1/3 (pow x 2))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))>
#<alt (- (exp x) (exp (neg x)))>
#<alt (- (exp x) (exp (neg x)))>
#<alt (- (exp x) (exp (neg x)))>
#<alt (- (exp x) (exp (neg x)))>
#<alt (- (exp x) (exp (* -1 x)))>
#<alt (- (exp x) (exp (* -1 x)))>
#<alt (- (exp x) (exp (* -1 x)))>
#<alt (- (exp x) (exp (* -1 x)))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 1/3 (pow x 2))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))>
#<alt (* 1/2520 (pow x 7))>
#<alt (* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))>
#<alt (* 1/2520 (pow x 7))>
#<alt (* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt 1/120>
#<alt (+ 1/120 (* 1/5040 (pow x 2)))>
#<alt (+ 1/120 (* 1/5040 (pow x 2)))>
#<alt (+ 1/120 (* 1/5040 (pow x 2)))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* 1/120 (pow x 3))>
#<alt (* 1/120 (pow x 3))>
#<alt (* 1/120 (pow x 3))>
#<alt (* 1/120 (pow x 3))>
#<alt (* 1/120 (pow x 3))>
#<alt (* 1/120 (pow x 3))>
#<alt (* 1/120 (pow x 3))>
#<alt (* 1/120 (pow x 3))>
#<alt (* 1/120 (pow x 3))>
#<alt (* 1/120 (pow x 3))>
#<alt (* 1/120 (pow x 3))>
#<alt (* 1/120 (pow x 3))>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt 1/3>
#<alt (+ 1/3 (* 1/60 (pow x 2)))>
#<alt (+ 1/3 (* 1/60 (pow x 2)))>
#<alt (+ 1/3 (* 1/60 (pow x 2)))>
#<alt (* 1/60 (pow x 2))>
#<alt (* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/60 (pow x 2))>
#<alt (* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))>
#<alt 2>
#<alt (+ 2 (* 1/3 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))>
#<alt (* 1/2520 (pow x 6))>
#<alt (* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))>
#<alt (* 1/2520 (pow x 6))>
#<alt (* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))>

Calls

75 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(* x (* x x))
0.0ms	x	@	inf	(+ (* (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (* x (* x x))) x)
0.0ms	x	@	inf	(+ (* (* x x) 1/60) 1/3)
0.0ms	x	@	0	(* (* x x) (* x x))
0.0ms	x	@	-inf	(+ (* (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (* x (* x x))) x)

simplify318.0ms (2.8%)

Memory

4.0MiB live, 434.9MiB allocated

Algorithm

1×	egg-herbie

Rules

13 972×	`lower-fma.f64`
13 972×	`lower-fma.f32`
4 318×	`lower-*.f64`
4 318×	`lower-*.f32`
2 964×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	156	2874
1	541	2820
2	1462	2778
3	4048	2768
4	7794	2768
0	8104	2620

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 291

Calls

Call 1

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

rewrite364.0ms (3.2%)

Memory

-5.5MiB live, 517.3MiB allocated

Rules

6 698×	`lower-fma.f32`
6 684×	`lower-fma.f64`
4 492×	`lower-*.f32`
4 474×	`lower-*.f64`
3 342×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	446
0	77	395
1	378	367
2	2461	367
0	8869	360

Stop Event

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

Counts

25 → 494

Calls

Call 1

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

Outputs
(+.f64 x (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x))))
(+.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x))) x)
(-.f64 (/.f64 (.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)))) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)) (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)) (neg.f64 x))))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))))) (/.f64 (.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)))) (-.f64 x (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))))))
(fma.f64 x #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x))))
(fma.f64 x (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x)
(fma.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x)
(fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)) x)
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)
(fma.f64 #s(literal 1 binary64) x (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x))))
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(/.f64 (neg.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 (.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) (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))) (neg.f64 (+.f64 #s(literal 4 binary64) (-.f64 (.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) (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 (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) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (fma.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) (.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))) (neg.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))))
(/.f64 (-.f64 #s(literal 4 binary64) (.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) (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 #s(literal 2 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)))))
(/.f64 (-.f64 (.f64 (.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) (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 (.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) (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 4 binary64))) (.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) (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 (neg.f64 (neg.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 (.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) (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)))) (neg.f64 (neg.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) (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 #s(literal 4 binary64) (.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) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (fma.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) (.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)))) (neg.f64 (neg.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)))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (.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) (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)))))) (neg.f64 (-.f64 #s(literal 2 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))))))
(/.f64 (fma.f64 (.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 1/16003008000 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (pow.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 x (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/2520 binary64)))) (.f64 x (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/2520 binary64)))) (-.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) (.f64 (.f64 x (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/2520 binary64)))) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/2520 binary64))))) #s(literal 3 binary64)) (.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (fma.f64 x (.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (fma.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/2520 binary64))))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/2520 binary64))))) (-.f64 (.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64))))) (.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/2520 binary64))))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.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) (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 (.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 3 binary64)) (pow.f64 (/.f64 #s(literal 4 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))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.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) (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 (.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 (.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) (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 (.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 #s(literal 4 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 #s(literal 4 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 (/.f64 (.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) (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 (.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 #s(literal 4 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)))))))
(pow.f64 (/.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) (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 #s(literal 4 binary64) (.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) #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 (.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) (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 (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 (.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 (.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) (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) (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) (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 #s(literal 4 binary64) (.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) #s(literal 2 binary64)))))))
(.f64 (fma.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) (.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))))

eval147.0ms (1.3%)

Memory: 18.5MiB live, 282.1MiB allocated
Compiler: Compiled 39 949 to 2 508 computations (93.7% saved)

prune122.0ms (1.1%)

Memory

-38.5MiB live, 258.9MiB allocated

Pruning

29 alts after pruning (23 fresh and 6 done)

	Pruned	Kept	Total
New	1 096	13	1 109
Fresh	6	10	16
Picked	2	3	5
Done	1	3	4
Total	1 105	29	1 134

Accuracy

100.0%

Counts

1 134 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	91.4%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2520 binary64) #s(approx (+ ( (* x x) 1/60) 1/3) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
	68.9%	(/.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))
	68.9%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal -1/60 binary64)))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
	91.4%	(/.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)
	91.5%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x x) x))
	88.1%	#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))
	80.7%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64) x))
▶	87.7%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x))))) x x))
✓	88.1%	#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))
✓	80.7%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x))
	87.7%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 (.f64 x (*.f64 x #s(literal 1/120 binary64))) x)) x))
✓	87.7%	#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))
	29.3%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (/.f64 (.f64 (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) (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)))) (neg.f64 x))) (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)))) (neg.f64 x))))
	54.8%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (/.f64 (.f64 (fma.f64 (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/36 binary64)) (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x))
▶	91.5%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/5040 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x (*.f64 x x))) x))
✓	91.5%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (fma.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))
	68.9%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (fma.f64 (.f64 x x) (/.f64 (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))) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) x))
	91.5%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (.f64 x x) (*.f64 x #s(literal 1/6 binary64))) x #s(literal 1 binary64))))
	53.0%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (/.f64 (.f64 (fma.f64 (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/36 binary64)) x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x #s(literal 1 binary64))))
▶	91.4%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64))) x #s(literal 1 binary64))))
	91.1%	#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 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))))) x #s(literal 1 binary64))))
	91.1%	#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 x (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x x)))))) x #s(literal 1 binary64))))
▶	68.9%	#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))))
	91.1%	#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 #s(literal 1/5040 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))) x #s(literal 1 binary64))))
	80.6%	#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) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))))
✓	46.6%	#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))))
	46.9%	#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))))
▶	39.7%	#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 1 158 to 548 computations (52.7% saved)

simplify206.0ms (1.8%)

Memory

41.3MiB live, 267.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (.f64 x x) (fma.f64 x (/.f64 (.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))
cost-diff	0	(.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)))
cost-diff	0	#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))))
cost-diff	0	(.f64 x (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64)))
cost-diff	0	(fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64))) x #s(literal 1 binary64))
cost-diff	0	(.f64 x (fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64))) x #s(literal 1 binary64)))
cost-diff	0	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64))) x #s(literal 1 binary64))))
cost-diff	0	#s(approx (* x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x))))
cost-diff	0	(.f64 x #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x)))))
cost-diff	0	(fma.f64 (.f64 x #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x))))) x x)
cost-diff	0	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x))))) 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	(.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/5040 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x (*.f64 x x)))
cost-diff	0	#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/5040 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x (*.f64 x x))) x))
cost-diff	128	(+.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/5040 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x (*.f64 x x))) x)
cost-diff	640	(fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/5040 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))

Rules

11 132×	`lower-fma.f32`
11 114×	`lower-fma.f64`
4 970×	`lower-+.f32`
4 968×	`lower-+.f64`
2 826×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	606
0	94	550
1	199	522
2	388	520
3	992	520
4	1990	520
5	4155	520
6	5874	520
7	7714	520
0	8520	506

Stop Event

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

Calls

Call 1

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

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

localize256.0ms (2.3%)

Memory

-15.6MiB live, 316.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.170253759768442	(.f64 (.f64 x x) (*.f64 x x))
accuracy	0.2526820998784929	(fma.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))
accuracy	5.419887639475025	#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))))
accuracy	16.3727943895969	(/.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)))
accuracy	0.1171875	(.f64 (.f64 x x) #s(literal 1/5040 binary64))
accuracy	0.171875	(.f64 x (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64)))
accuracy	5.419887639475025	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64))) x #s(literal 1 binary64))))
accuracy	27.5187532212893	#s(approx (+ (* (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))
accuracy	0.1015625	(.f64 x (.f64 x x))
accuracy	0.10546875	(.f64 x #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x)))))
accuracy	7.619127940465385	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x))))) x x))
accuracy	26.783185735478654	#s(approx (* x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x))))
accuracy	0.125	(.f64 x (.f64 x #s(literal 1/6 binary64)))
accuracy	0.34375	(*.f64 x #s(literal 1/6 binary64))
accuracy	12.382773658255019	#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	26.79055524246686	#s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64)))))
accuracy	0.1015625	(*.f64 x #s(literal 1/120 binary64))
accuracy	0.1171875	(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
accuracy	0.2316537538189245	(fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/5040 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
accuracy	5.419887639475025	#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/5040 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x (*.f64 x x))) x))

Samples

71.0ms	47×	2	valid
56.0ms	148×	0	valid
53.0ms	61×	1	valid

Compiler

Compiled 459 to 55 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 136.0ms

ival-mult: 48.0ms (35.2% of total)

ival-exp: 26.0ms (19.1% of total)

const: 23.0ms (16.9% of total)

ival-add: 18.0ms (13.2% of total)

adjust: 13.0ms (9.5% of total)

ival-div: 5.0ms (3.7% of total)

ival-sub: 2.0ms (1.5% 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)

series12.0ms (0.1%)

Memory

8.0MiB live, 8.0MiB allocated

Counts

29 → 348

Calls

Call 1

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

Outputs
#<alt 1/6>
#<alt (+ 1/6 (* 1/120 (pow x 2)))>
#<alt (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))>
#<alt (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))>
#<alt (* 1/5040 (pow x 4))>
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* 1/5040 (pow x 4))>
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))>
#<alt (* 1/5040 (pow x 7))>
#<alt (* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/5040 (pow x 7))>
#<alt (* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))>
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/6 (pow x 3))>
#<alt (* (pow x 3) (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))>
#<alt (* (pow x 3) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))>
#<alt (* 1/5040 (pow x 7))>
#<alt (* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* 1/5040 (pow x 7))>
#<alt (* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))>
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* 1/6 (pow x 3))>
#<alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* 1/6 (pow x 3))>
#<alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* 1/120 (pow x 5))>
#<alt (* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/120 (pow x 5))>
#<alt (* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* 1/120 (pow x 4))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 1/120 (pow x 4))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* x (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* x (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* 1/120 (pow x 3))>
#<alt (* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 1/120 (pow x 3))>
#<alt (* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))>
#<alt (* 1/5040 (pow x 7))>
#<alt (* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/5040 (pow x 7))>
#<alt (* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* x (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))>
#<alt (* x (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))>
#<alt (* 1/5040 (pow x 5))>
#<alt (* (pow x 5) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* 1/5040 (pow x 5))>
#<alt (* (pow x 5) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))>
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))>
#<alt (* 1/5040 (pow x 7))>
#<alt (* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/5040 (pow x 7))>
#<alt (* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 1/6>
#<alt (+ 1/6 (* 1/120 (pow x 2)))>
#<alt (+ 1/6 (* 1/120 (pow x 2)))>
#<alt (+ 1/6 (* 1/120 (pow x 2)))>
#<alt (* 1/120 (pow x 2))>
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 1/120 (pow x 2))>
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt 1/120>
#<alt (+ 1/120 (* 1/5040 (pow x 2)))>
#<alt (+ 1/120 (* 1/5040 (pow x 2)))>
#<alt (+ 1/120 (* 1/5040 (pow x 2)))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/120 x)>
#<alt (* x (+ 1/120 (* 1/5040 (pow x 2))))>
#<alt (* x (+ 1/120 (* 1/5040 (pow x 2))))>
#<alt (* x (+ 1/120 (* 1/5040 (pow x 2))))>
#<alt (* 1/5040 (pow x 3))>
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* 1/5040 (pow x 3))>
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt -1/14400>
#<alt (- (* 1/25401600 (pow x 4)) 1/14400)>
#<alt (- (* 1/25401600 (pow x 4)) 1/14400)>
#<alt (- (* 1/25401600 (pow x 4)) 1/14400)>
#<alt (* 1/25401600 (pow x 4))>
#<alt (* (pow x 4) (- 1/25401600 (* 1/14400 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 1/25401600 (* 1/14400 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 1/25401600 (* 1/14400 (/ 1 (pow x 4)))))>
#<alt (* 1/25401600 (pow x 4))>
#<alt (* (pow x 4) (- 1/25401600 (* 1/14400 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 1/25401600 (* 1/14400 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 1/25401600 (* 1/14400 (/ 1 (pow x 4)))))>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>

Calls

87 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(/ (* (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) x) (+ (* (* x x) 1/5040) -1/120))
0.0ms	x	@	0	(/ (* (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) x) (+ (* (* x x) 1/5040) -1/120))
0.0ms	x	@	inf	(* x (+ (* (* x x) (+ (* x (/ (* (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) x) (+ (* (* x x) 1/5040) -1/120))) 1/6)) 1))
0.0ms	x	@	0	(* x (+ (* (* x x) (+ (* x (/ (* (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) x) (+ (* (* x x) 1/5040) -1/120))) 1/6)) 1))
0.0ms	x	@	inf	(* (* x x) 1/5040)

simplify357.0ms (3.2%)

Memory

-0.2MiB live, 153.9MiB allocated

Algorithm

1×	egg-herbie

Rules

8 682×	`lower-fma.f64`
8 682×	`lower-fma.f32`
3 782×	`lower-*.f64`
3 782×	`lower-*.f32`
1 236×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	118	2862
1	398	2786
2	1027	2759
3	2656	2754
4	5907	2754
0	8158	2569

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 338

Calls

Call 1

Inputs
1/6
(+ 1/6 (* 1/120 (pow x 2)))
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))
(* 1/5040 (pow x 4))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* 1/5040 (pow x 4))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 1/5040 (pow x 7))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/5040 (pow x 7))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* 1/120 (pow x 2))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(* 1/5040 (pow x 7))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* 1/5040 (pow x 7))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))
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)))))
(* 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))))))
(* 1/6 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)))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 1/5040 (pow x 7))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/5040 (pow x 7))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(pow x 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
(+ 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)
(* 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 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)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
1/120
(+ 1/120 (* 1/5040 (pow x 2)))
(+ 1/120 (* 1/5040 (pow x 2)))
(+ 1/120 (* 1/5040 (pow x 2)))
(* 1/5040 (pow x 2))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* 1/5040 (pow x 2))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/120 x)
(* x (+ 1/120 (* 1/5040 (pow x 2))))
(* x (+ 1/120 (* 1/5040 (pow x 2))))
(* x (+ 1/120 (* 1/5040 (pow x 2))))
(* 1/5040 (pow x 3))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* 1/5040 (pow x 3))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
-1/14400
(- (* 1/25401600 (pow x 4)) 1/14400)
(- (* 1/25401600 (pow x 4)) 1/14400)
(- (* 1/25401600 (pow x 4)) 1/14400)
(* 1/25401600 (pow x 4))
(* (pow x 4) (- 1/25401600 (* 1/14400 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/25401600 (* 1/14400 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/25401600 (* 1/14400 (/ 1 (pow x 4)))))
(* 1/25401600 (pow x 4))
(* (pow x 4) (- 1/25401600 (* 1/14400 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/25401600 (* 1/14400 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/25401600 (* 1/14400 (/ 1 (pow x 4)))))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)

Outputs
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 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))
(* 1/5040 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))
(* 1/5040 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 #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 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x 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 (+.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 (+.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.f64 x #s(literal 7 binary64)))
(* (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 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 #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 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x 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))))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/6 (* 1/120 (pow x 2))))
(.f64 (.f64 x x) (.f64 x (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x)))
(* 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 (+.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.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 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)))))) (pow.f64 x #s(literal 7 binary64)))
(* 1/5040 (pow x 7))
(*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (+.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 (/ (+ 1/120 (* 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))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 #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 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x 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))))
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(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))
(.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 #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 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x 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 #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 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x 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 (+.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 (+.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.f64 x #s(literal 7 binary64)))
(* (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 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow x 2)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #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 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(* 1/5040 (pow x 6))
(.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x x)) (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(.f64 (+.f64 #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 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x x)) (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(.f64 (+.f64 #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))
(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
#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 x)
(*.f64 #s(literal 1/120 binary64) x)
(* 1/120 x)
(*.f64 #s(literal 1/120 binary64) x)
(* 1/120 x)
(*.f64 #s(literal 1/120 binary64) x)
(* 1/120 x)
(*.f64 #s(literal 1/120 binary64) x)
(* 1/120 x)
(*.f64 #s(literal 1/120 binary64) x)
(* 1/120 x)
(*.f64 #s(literal 1/120 binary64) x)
(* 1/120 x)
(*.f64 #s(literal 1/120 binary64) x)
(* 1/120 x)
(*.f64 #s(literal 1/120 binary64) x)
(* 1/120 x)
(*.f64 #s(literal 1/120 binary64) x)
(* 1/120 x)
(*.f64 #s(literal 1/120 binary64) x)
(* 1/120 x)
(*.f64 #s(literal 1/120 binary64) x)
(* 1/120 x)
(*.f64 #s(literal 1/120 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
1/120
#s(literal 1/120 binary64)
(+ 1/120 (* 1/5040 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(+ 1/120 (* 1/5040 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(+ 1/120 (* 1/5040 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(* 1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(* 1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(* 1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(* 1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(* 1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(* 1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(* 1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(* 1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(* 1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(* 1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(* 1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(* 1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(* 1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(* 1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(* 1/120 x)
(*.f64 #s(literal 1/120 binary64) x)
(* x (+ 1/120 (* 1/5040 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
(* x (+ 1/120 (* 1/5040 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
(* x (+ 1/120 (* 1/5040 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
(* 1/5040 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x 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 (.f64 x 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 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
(* 1/5040 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x 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 (.f64 x 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 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
-1/14400
#s(literal -1/14400 binary64)
(- (* 1/25401600 (pow x 4)) 1/14400)
(fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))
(- (* 1/25401600 (pow x 4)) 1/14400)
(fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))
(- (* 1/25401600 (pow x 4)) 1/14400)
(fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))
(* 1/25401600 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))
(* (pow x 4) (- 1/25401600 (* 1/14400 (/ 1 (pow x 4)))))
(fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))
(* (pow x 4) (- 1/25401600 (* 1/14400 (/ 1 (pow x 4)))))
(fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))
(* (pow x 4) (- 1/25401600 (* 1/14400 (/ 1 (pow x 4)))))
(fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))
(* 1/25401600 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))
(* (pow x 4) (- 1/25401600 (* 1/14400 (/ 1 (pow x 4)))))
(fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))
(* (pow x 4) (- 1/25401600 (* 1/14400 (/ 1 (pow x 4)))))
(fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))
(* (pow x 4) (- 1/25401600 (* 1/14400 (/ 1 (pow x 4)))))
(fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))

rewrite688.0ms (6.1%)

Memory

-18.2MiB live, 292.1MiB allocated

Rules

6 978×	`lower-fma.f32`
6 960×	`lower-fma.f64`
4 912×	`lower-*.f32`
4 880×	`lower-*.f64`
4 106×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	501
0	94	445
1	367	379
2	2613	379
0	9300	364

Stop Event

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

Counts

29 → 474

Calls

Call 1

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

Outputs
(+.f64 #s(literal 1/6 binary64) (.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (.f64 x #s(literal 1/120 binary64)))))
(+.f64 (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))
(+.f64 (.f64 x (.f64 x #s(literal 1/120 binary64))) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))
(+.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)))) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(+.f64 (.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (.f64 x #s(literal 1/120 binary64)))) #s(literal 1/6 binary64))
(+.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64)) (.f64 x (*.f64 x #s(literal 1/120 binary64))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64))))) (-.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)))) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (/.f64 (.f64 (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 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)))) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))
(-.f64 (/.f64 (.f64 (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 (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))) (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64))))) (-.f64 (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))
(-.f64 (/.f64 (.f64 (.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (.f64 x #s(literal 1/120 binary64)))) (.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (.f64 x #s(literal 1/120 binary64))))) (-.f64 (.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (.f64 x #s(literal 1/120 binary64)))) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (-.f64 (.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (*.f64 x #s(literal 1/120 binary64)))) #s(literal 1/6 binary64))))
(fma.f64 x (.f64 x #s(literal 1/120 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))
(fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (*.f64 x #s(literal 1/120 binary64))) #s(literal 1/6 binary64))
(fma.f64 (.f64 x x) #s(literal 1/120 binary64) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))
(fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(fma.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/5040 binary64)) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/5040 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x (.f64 x x))) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/120 binary64) (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))
(fma.f64 (.f64 x #s(literal 1/120 binary64)) x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(fma.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64)) #s(literal 1/216 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))
(fma.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))
(fma.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))) x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(fma.f64 (.f64 x #s(literal 1/5040 binary64)) (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (-.f64 (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64)))))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64)))) (.f64 (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 (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 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)))) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (.f64 x #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (-.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)))) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64)))) (.f64 (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 (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))))) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (-.f64 (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64)))))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64)))) (.f64 (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 (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))))) (fma.f64 (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 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64))))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 #s(literal 1/5040 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (-.f64 (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64)))))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64)))) (.f64 (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 (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 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)))) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (.f64 x #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (-.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)))) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))))
(/.f64 (.f64 (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (.f64 x #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (-.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)))) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (-.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)))) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64)))) (.f64 (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 (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)))))) (neg.f64 (fma.f64 (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (-.f64 (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64))))))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64)))) (.f64 (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 (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)))))) (neg.f64 (fma.f64 (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 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64))))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 #s(literal 1/5040 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))))
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(/.f64 (fma.f64 (.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (.f64 x #s(literal 1/120 binary64)))) (.f64 (.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (.f64 x #s(literal 1/120 binary64)))) (.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (.f64 x #s(literal 1/120 binary64))))) #s(literal 1/216 binary64)) (fma.f64 (.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (.f64 x #s(literal 1/120 binary64)))) (.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (.f64 x #s(literal 1/120 binary64)))) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (.f64 x #s(literal 1/120 binary64)))) #s(literal 1/6 binary64)))))
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(/.f64 (-.f64 (.f64 (.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (.f64 x #s(literal 1/120 binary64)))) (.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (.f64 x #s(literal 1/120 binary64))))) #s(literal 1/36 binary64)) (-.f64 (.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (*.f64 x #s(literal 1/120 binary64)))) #s(literal 1/6 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64))))) (-.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)))) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (.f64 (-.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)))) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 (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 (-.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)))) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (-.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)))) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))
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(fma.f64 (.f64 #s(literal 1/25401600 binary64) x) (.f64 x (*.f64 x x)) #s(literal -1/14400 binary64))
(fma.f64 (.f64 #s(literal 1/25401600 binary64) (.f64 x (*.f64 x x))) x #s(literal -1/14400 binary64))
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(pow.f64 (/.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64))) #s(literal 1/14400 binary64)) (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/645241282560000 binary64) #s(literal -1/207360000 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1/16390160963076096000000 binary64) #s(literal -1/2985984000000 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/645241282560000 binary64) #s(literal 1/207360000 binary64)) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -1/365783040000 binary64)))))
(.f64 (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/645241282560000 binary64) #s(literal -1/207360000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/25401600 binary64))) #s(literal 1/14400 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 (*.f64 x x))))
(pow.f64 x #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1 binary64))
(.f64 x (.f64 x (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 x x))
(.f64 (.f64 x (*.f64 x x)) x)
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))

eval145.0ms (1.3%)

Memory: 22.0MiB live, 159.0MiB allocated
Compiler: Compiled 34 424 to 2 384 computations (93.1% saved)

prune244.0ms (2.2%)

Memory

-22.9MiB live, 175.8MiB allocated

Pruning

37 alts after pruning (28 fresh and 9 done)

	Pruned	Kept	Total
New	1 004	20	1 024
Fresh	10	8	18
Picked	2	3	5
Done	0	6	6
Total	1 016	37	1 053

Accuracy

100.0%

Counts

1 053 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	91.4%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2520 binary64) #s(approx (+ ( (* x x) 1/60) 1/3) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
	68.9%	(/.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))
	68.9%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal -1/60 binary64)))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
	91.4%	(/.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)
	91.5%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)) x))
	87.7%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 x (.f64 x (*.f64 x #s(literal 1/120 binary64))))) x) x x))
	91.4%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64))) (*.f64 x x) x))
✓	87.7%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x))))) x x))
✓	88.1%	#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))
✓	80.7%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x))
✓	87.7%	#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))
	29.3%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (/.f64 (.f64 (fma.f64 (.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) 1/6)) (.f64 x (.f64 x (.f64 x #s(literal 1/120 binary64))))) x) (fma.f64 (.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) 1/6)) (.f64 x (.f64 x (.f64 x #s(literal 1/120 binary64))))) (neg.f64 x))) (fma.f64 (.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) 1/6)) (.f64 x (.f64 x (*.f64 x #s(literal 1/120 binary64))))) (neg.f64 x))))
	54.8%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (/.f64 (.f64 (fma.f64 (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/36 binary64)) (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x))
	91.4%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/5040 binary64) #s(approx (+ (* x (* x 1/120)) 1/6) #s(literal 1/6 binary64))) (.f64 x (.f64 x x))) x))
✓	91.5%	#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))
	68.9%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (fma.f64 (.f64 x x) (/.f64 (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))) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) x))
	52.9%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 #s(approx (+ (* (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(approx (+ (* (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))) #s(literal -1/36 binary64)) x) (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(literal -1/6 binary64))) x #s(literal 1 binary64))))
	91.1%	#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 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))))) x #s(literal 1 binary64))))
	91.1%	#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 x (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x x)))))) x #s(literal 1 binary64))))
✓	68.9%	#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))))
	68.9%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (/.f64 (.f64 (fma.f64 x (.f64 x (.f64 (.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))))
	68.7%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (/.f64 (.f64 #s(approx (+ ( (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 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))))
	66.8%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (/.f64 (.f64 #s(approx (+ ( (* (* x x) (* x x)) 1/25401600) -1/14400) #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))))
	68.9%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (/.f64 (.f64 x (fma.f64 (.f64 #s(literal 1/25401600 binary64) x) (.f64 x (.f64 x x)) #s(literal -1/14400 binary64))) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
	68.9%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 (fma.f64 (.f64 #s(literal 1/25401600 binary64) x) (.f64 x (.f64 x x)) #s(literal -1/14400 binary64)) (/.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))))
	91.1%	#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 (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))) x #s(literal 1 binary64))))
	80.6%	#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 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64))))
	59.5%	#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) (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)))))
	50.3%	#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 (.f64 x (.f64 x x)) (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))))))
	50.2%	#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 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))))
✓	46.6%	#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))))
	47.1%	#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x (* x (+ (* x (* x 1/120)) 1/6))) x) x) (.f64 (.f64 x x) (.f64 x (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))))))
	46.9%	#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x (* x (+ (* x (* x 1/120)) 1/6))) x) x) (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))
	39.7%	#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))))
	39.7%	#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)))))
✓	39.7%	#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 2 056 to 632 computations (69.3% saved)

regimes85.0ms (0.7%)

Memory

18.1MiB live, 58.5MiB allocated

Counts

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

Outputs
(sinh.f64 x)

Calls

3 calls:

54.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
15.0ms	x
12.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

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

regimes114.0ms (1%)

Memory

-19.4MiB live, 55.0MiB allocated

Counts

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

Outputs

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

#s(approx (/ (- (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:

51.0ms	x
49.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
12.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
96.2%	2	`x`
91.5%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
91.5%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes17.0ms (0.2%)

Memory

28.3MiB live, 28.3MiB allocated

Counts

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

Outputs

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

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
94.4%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes56.0ms (0.5%)

Memory

-20.9MiB live, 16.6MiB allocated

Counts

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

Outputs

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

1 calls:

53.0ms

Results

Accuracy	Segments	Branch
94.3%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes16.0ms (0.1%)

Memory

24.4MiB live, 24.4MiB allocated

Counts

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

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

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
91.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes60.0ms (0.5%)

Memory

-21.7MiB live, 28.5MiB allocated

Counts

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

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:

46.0ms	x
6.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
6.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))

Results

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes61.0ms (0.5%)

Memory

-7.9MiB live, 30.8MiB 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) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) (fma.f64 #s(literal 1/6 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 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64))))
#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) #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 1/120)) 1/6))) x) x) (.f64 #s(literal 1/120 binary64) (.f64 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 x) (.f64 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 (.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) #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 (.f64 x (*.f64 x #s(literal 1/120 binary64))) x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(approx (+ (* x (* x 1/120)) 1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64)))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x))))) x x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 x (.f64 x (*.f64 x #s(literal 1/120 binary64))))) x) x x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (.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) (.f64 x #s(approx (+ ( (* x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) x) 1) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))))
#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 (.f64 x (.f64 x x)) (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 #s(approx ( x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x 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 (.f64 (*.f64 x x) #s(literal 1/5040 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 x (.f64 #s(literal 1/5040 binary64) (.f64 x (.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 #s(approx (* x (+ (* x (* x 1/5040)) 1/120)) (.f64 #s(literal 1/5040 binary64) (.f64 x (*.f64 x x)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(approx (+ ( x (* x 1/5040)) 1/120) (.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 x #s(approx (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (.f64 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 (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64))) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64))) (*.f64 x x) x))

Outputs

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

Calls

3 calls:

46.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
8.0ms	x
6.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
91.4%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
91.4%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
91.4%	1	`x`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes57.0ms (0.5%)

Memory

-12.8MiB live, 26.2MiB allocated

Counts

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

Outputs

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

Calls

3 calls:

44.0ms	x
6.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
6.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
91.4%	1	`x`
91.4%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
91.4%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes18.0ms (0.2%)

Memory

22.5MiB live, 22.5MiB allocated

Counts

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
91.1%	1	`x`
91.1%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
91.1%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes31.0ms (0.3%)

Memory

-15.0MiB live, 23.9MiB allocated

Counts

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

Outputs

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

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

Calls

3 calls:

21.0ms	x
5.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
5.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
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)

regimes19.0ms (0.2%)

Memory

-15.0MiB live, 33.7MiB allocated

Counts

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

Outputs

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

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

Calls

3 calls:

8.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
6.0ms	x
4.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

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)

regimes15.0ms (0.1%)

Memory

20.8MiB live, 20.8MiB allocated

Counts

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
88.1%	1	`x`
88.1%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
88.1%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes17.0ms (0.2%)

Memory

-20.1MiB live, 18.2MiB allocated

Counts

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

Outputs
#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))

Calls

3 calls:

7.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
5.0ms	x
4.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
87.7%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
87.7%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
87.7%	1	`x`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes10.0ms (0.1%)

Memory

14.5MiB live, 14.5MiB allocated

Counts

11 → 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) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) (fma.f64 #s(literal 1/6 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 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64))))
#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) #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 1/120)) 1/6))) x) x) (.f64 #s(literal 1/120 binary64) (.f64 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 x) (.f64 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) (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x))

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

Calls

3 calls:

4.0ms	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
88.0%	2	`x`
88.0%	2	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
88.0%	2	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes11.0ms (0.1%)

Memory

-13.7MiB live, 25.3MiB allocated

Counts

10 → 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) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) (fma.f64 #s(literal 1/6 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 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64))))
#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) #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 1/120)) 1/6))) x) x) (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))

Outputs

#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) #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:

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

Results

Accuracy	Segments	Branch
88.0%	2	`x`
88.0%	2	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
88.0%	2	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes8.0ms (0.1%)

Memory

15.4MiB live, 15.4MiB allocated

Counts

8 → 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) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) (fma.f64 #s(literal 1/6 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 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64))))
#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))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
80.7%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
80.7%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
80.7%	1	`x`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes7.0ms (0.1%)

Memory

16.3MiB live, 16.3MiB allocated

Counts

6 → 1

Calls

Call 1

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
80.6%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
80.6%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
80.6%	1	`x`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes7.0ms (0.1%)

Memory

-28.1MiB live, 10.4MiB allocated

Counts

4 → 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))))

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:

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

Results

Accuracy	Segments	Branch
80.3%	2	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
80.3%	2	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
80.3%	2	`x`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes4.0ms (0%)

Memory

11.6MiB live, 11.6MiB 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
46.6%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
46.6%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
46.6%	1	`x`

Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch2.0ms (0%)

Memory

2.9MiB live, 2.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
2.0ms	1.395158621181105e+61	7.514473578428158e+68

Samples

1.0ms

16×

valid

Compiler

Compiled 72 to 36 computations (50% saved)

Precisions

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

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

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

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

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

exact: 0.0ms (0% of total)

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

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

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
0.0ms	1.395158621181105e+61	7.514473578428158e+68

Compiler

Compiled 71 to 38 computations (46.5% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
0.0ms	1.395158621181105e+61	7.514473578428158e+68

Compiler

Compiled 71 to 36 computations (49.3% saved)

bsearch9.0ms (0.1%)

Memory

12.5MiB live, 12.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	4.029228038310145	10.279336351277177

Samples

5.0ms

80×

valid

Compiler

Compiled 192 to 106 computations (44.8% saved)

Precisions

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

ival-exp: 2.0ms (65.9% of total)

ival-div: 1.0ms (33% of total)

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

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

exact: 0.0ms (0% of total)

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

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

bsearch9.0ms (0.1%)

Memory

-26.5MiB live, 15.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	4.029228038310145	10.279336351277177

Samples

6.0ms

64×

valid

Compiler

Compiled 187 to 101 computations (46% saved)

Precisions

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

ival-sub: 3.0ms (63.1% of total)

ival-exp: 1.0ms (21% 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)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9603478780369168	56.1997086819806

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch5.0ms (0%)

Memory

7.4MiB live, 7.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
5.0ms	4.029228038310145	10.279336351277177

Samples

3.0ms

48×

valid

Compiler

Compiled 142 to 81 computations (43% saved)

Precisions

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

ival-exp: 1.0ms (55.2% 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)

bsearch10.0ms (0.1%)

Memory

16.5MiB live, 16.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	0.46340892492258673	4.029228038310145

Samples

5.0ms

96×

valid

Compiler

Compiled 120 to 71 computations (40.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-exp: 2.0ms (55.3% of total)

ival-sub: 1.0ms (27.6% of total)

ival-div: 1.0ms (27.6% 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)

simplify34.0ms (0.3%)

Memory

-6.3MiB live, 30.6MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	160	921
1	205	921
2	210	921
3	213	921
4	214	921

Stop Event

1×

saturated

Calls

Call 1

Inputs
(sinh.f64 x)
(if (<=.f64 x #s(literal 19999999999999998987742705941480377339272900220268201461678080 binary64)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (/.f64 (.f64 (fma.f64 (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/36 binary64)) (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) #s(approx (/ (- (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 19999999999999998987742705941480377339272900220268201461678080 binary64)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (/.f64 (.f64 (fma.f64 (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/36 binary64)) x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x #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 19999999999999998987742705941480377339272900220268201461678080 binary64)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 #s(approx (+ (* (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(approx (+ (* (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))) #s(literal -1/36 binary64)) x) (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(literal -1/6 binary64))) x #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) (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x x) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64))) (*.f64 x x) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(approx (* x (+ (* x (* x 1/5040)) 1/120)) (.f64 #s(literal 1/5040 binary64) (.f64 x (*.f64 x x)))) #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 #s(literal 1/5040 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))) x #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 11/2 binary64)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ (* (* x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) x) 1) (.f64 (.f64 x (.f64 x x)) (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))))))
(if (<=.f64 x #s(literal 4278419646001971/562949953421312 binary64)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ (* (* x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) x) 1) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 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) #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x)))) x))
(if (<=.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1 binary64)) #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) #s(approx (+ (* (* x (* x (+ (* x (* x 1/120)) 1/6))) x) x) (.f64 (.f64 x x) (.f64 x (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)))))))
(if (<=.f64 x #s(literal 2758454771764429/562949953421312 binary64)) #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) #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) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal 5/2 binary64)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64)))) #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64)))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64))))

Outputs
(sinh.f64 x)
(if (<=.f64 x #s(literal 19999999999999998987742705941480377339272900220268201461678080 binary64)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (/.f64 (.f64 (fma.f64 (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/36 binary64)) (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) #s(approx (/ (- (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 19999999999999998987742705941480377339272900220268201461678080 binary64)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 x (/.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/36 binary64))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) #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))))))))
(if (<=.f64 x #s(literal 19999999999999998987742705941480377339272900220268201461678080 binary64)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (/.f64 (.f64 (fma.f64 (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/36 binary64)) x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x #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 19999999999999998987742705941480377339272900220268201461678080 binary64)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (/.f64 (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/36 binary64))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x #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))))))))
(if (<=.f64 x #s(literal 19999999999999998987742705941480377339272900220268201461678080 binary64)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 #s(approx (+ (* (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(approx (+ (* (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))) #s(literal -1/36 binary64)) x) (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(literal -1/6 binary64))) x #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 19999999999999998987742705941480377339272900220268201461678080 binary64)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (/.f64 (.f64 x (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 #s(approx (+ (* (* x x) 1/5040) 1/120) (.f64 #s(literal 1/5040 binary64) (.f64 x x))) #s(approx (+ (* (* x x) 1/5040) 1/120) (.f64 #s(literal 1/5040 binary64) (.f64 x x)))) #s(literal -1/36 binary64))) (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/5040) 1/120) (.f64 #s(literal 1/5040 binary64) (.f64 x x))) #s(literal -1/6 binary64))) x #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) (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x x) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64))) (*.f64 x x) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) 1/5040) 1/120) (.f64 #s(literal 1/5040 binary64) (.f64 x x))) #s(literal 1/6 binary64))) (*.f64 x x) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(approx (* x (+ (* x (* x 1/5040)) 1/120)) (.f64 #s(literal 1/5040 binary64) (.f64 x (*.f64 x x)))) #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 #s(literal 1/5040 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))) x #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 11/2 binary64)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ (* (* x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) x) 1) (.f64 (.f64 x (.f64 x x)) (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))))))
(if (<=.f64 x #s(literal 4278419646001971/562949953421312 binary64)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ (* (* x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) x) 1) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))))
(if (<=.f64 x #s(literal 4278419646001971/562949953421312 binary64)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ (* (* x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) x) 1) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 #s(literal 1/5040 binary64) (.f64 x x))))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x)))) x))
(if (<=.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1 binary64)) #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) #s(approx (+ (* (* x (* x (+ (* x (* x 1/120)) 1/6))) x) x) (.f64 (.f64 x x) (.f64 x (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)))))))
(if (<=.f64 x #s(literal 2758454771764429/562949953421312 binary64)) #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) #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 2758454771764429/562949953421312 binary64)) #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) #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) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal 5/2 binary64)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64)))) #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64)))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64))))

soundness2.1s (18.3%)

Memory

0.5MiB live, 1 558.8MiB allocated

Rules

18 510×	`lower-fma.f64`
18 510×	`lower-fma.f32`
13 992×	`lower-fma.f64`
13 992×	`lower-fma.f32`
13 972×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	59	501
0	94	445
1	367	379
2	2613	379
0	9300	364
0	52	446
0	77	395
1	378	367
2	2461	367
0	8869	360
0	118	2862
1	398	2786
2	1027	2759
3	2656	2754
4	5907	2754
0	8158	2569
0	156	2874
1	541	2820
2	1462	2778
3	4048	2768
4	7794	2768
0	8104	2620
0	7	21
0	12	17
1	47	13
2	294	13
0	3072	13
0	154	2164
1	517	2104
2	1379	2080
3	3827	2076
4	7709	2076
0	8015	1942
0	37	263
0	65	241
1	302	235
2	2267	235
0	8201	229
0	74	323
1	218	322
2	536	316
3	1389	316
4	2118	316
5	3210	316
6	3762	316
7	5168	316
8	6336	316
9	7581	316
0	8147	294

Stop Event

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

Compiler

Compiled 1 134 to 495 computations (56.3% saved)

preprocess188.0ms (1.7%)

Memory: 9.4MiB live, 170.3MiB allocated
Remove: (negabs x)
Compiler: Compiled 978 to 214 computations (78.1% 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%)

sample2.0s (17.6%)

explain183.0ms (1.6%)

preprocess46.0ms (0.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify25.0ms (0.2%)

localize62.0ms (0.5%)

series39.0ms (0.3%)

simplify295.0ms (2.6%)

rewrite182.0ms (1.6%)

eval83.0ms (0.7%)

prune72.0ms (0.6%)

simplify272.0ms (2.4%)

localize278.0ms (2.5%)

series27.0ms (0.2%)

simplify279.0ms (2.5%)

rewrite504.0ms (4.5%)

eval185.0ms (1.6%)

prune311.0ms (2.7%)

simplify426.0ms (3.8%)

localize242.0ms (2.1%)

series9.0ms (0.1%)

simplify318.0ms (2.8%)

rewrite364.0ms (3.2%)

eval147.0ms (1.3%)

prune122.0ms (1.1%)

simplify206.0ms (1.8%)

localize256.0ms (2.3%)

series12.0ms (0.1%)

simplify357.0ms (3.2%)

rewrite688.0ms (6.1%)

eval145.0ms (1.3%)

prune244.0ms (2.2%)

regimes85.0ms (0.7%)

regimes114.0ms (1%)

regimes17.0ms (0.2%)

regimes56.0ms (0.5%)

regimes16.0ms (0.1%)

regimes60.0ms (0.5%)

regimes61.0ms (0.5%)

regimes57.0ms (0.5%)

regimes18.0ms (0.2%)

regimes31.0ms (0.3%)

regimes19.0ms (0.2%)

regimes15.0ms (0.1%)

regimes17.0ms (0.2%)

regimes10.0ms (0.1%)

regimes11.0ms (0.1%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes7.0ms (0.1%)

regimes4.0ms (0%)

bsearch2.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch9.0ms (0.1%)

bsearch9.0ms (0.1%)

bsearch0.0ms (0%)

bsearch5.0ms (0%)

bsearch10.0ms (0.1%)

simplify34.0ms (0.3%)

soundness2.1s (18.3%)

preprocess188.0ms (1.7%)

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