Metrics for Hyperbolic secant

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
100%	100%	0%	0%	0%	0%	0%	2

Compiler

Compiled 10 to 9 computations (10% saved)

sample838.0ms (8.3%)

Memory

62.4MiB live, 1 267.3MiB allocated

Samples

605.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 448.0ms

ival-exp: 221.0ms (49.3% of total)

ival-neg: 89.0ms (19.9% of total)

ival-add: 63.0ms (14.1% of total)

ival-div: 61.0ms (13.6% of total)

ival-true: 6.0ms (1.3% of total)

exact: 5.0ms (1.1% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

preprocess291.0ms (2.9%)

Memory

-241.6MiB live, 62.2MiB allocated

Algorithm

1×	egg-herbie

Rules

48×	`sub-neg`
28×	`distribute-lft-neg-in`
28×	`cancel-sign-sub-inv`
22×	`associate-+l-`
18×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	28	16
2	57	16
3	100	16
4	137	16
5	181	16
6	209	16
7	217	16
8	223	16
9	233	16
10	241	16
0	7	8
0	12	8
1	19	8
2	25	8
3	29	8
4	33	8
5	39	8
6	46	8
7	50	8
8	52	8
9	53	8
0	53	8

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

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

Outputs
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Symmetry

(abs x)

explain123.0ms (1.2%)

Memory

-6.1MiB live, 270.4MiB allocated

FPErrors

Click to see full error table

Overpredictions	Example	Example	Subexpression
0	-	-	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
0	-	-	`(exp.f64 x)`
1	(115.51237618766838)	-	`(exp.f64 (neg.f64 x))`
0	-	-	`(neg.f64 x)`
0	-	-	`x`

Explanations

Click to see full explanations table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	1	255

Precision

0.0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	1	0	255

Precision?

0.0

Recall?

0/0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

0.0

Recall?

0/0

Samples

39.0ms

512×

valid

Compiler

Compiled 68 to 32 computations (52.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-exp: 10.0ms (44.2% of total)

ival-div: 5.0ms (22.1% of total)

ival-add: 3.0ms (13.3% of total)

ival-neg: 3.0ms (13.3% of total)

ival-true: 1.0ms (4.4% of total)

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify6.0ms (0.1%)

Memory

13.3MiB live, 13.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(exp.f64 (neg.f64 x))
✓	cost-diff	(exp.f64 x)
✓	cost-diff	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
✓	cost-diff	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Rules

16×	`lower-*.f64`
16×	`lower-*.f32`
12×	`lower-fma.f64`
12×	`lower-fma.f32`
12×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	23
0	12	23
1	19	23
2	25	23
3	29	23
4	33	23
5	39	23
6	46	23
7	50	23
8	52	23
9	53	23
0	53	23

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 #s(literal 2 binary64) (+.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)

Outputs
(/.f64 #s(literal 2 binary64) (+.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)

localize28.0ms (0.3%)

Memory

9.2MiB live, 58.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(exp.f64 (neg.f64 x))
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	100.0%	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Samples

14.0ms

256×

valid

Compiler

Compiled 25 to 9 computations (64% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-exp: 4.0ms (50.5% of total)

ival-div: 2.0ms (25.3% of total)

ival-add: 1.0ms (12.6% of total)

ival-neg: 1.0ms (12.6% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0%)

Memory

-30.8MiB live, 7.0MiB allocated

Counts

4 → 48

Calls

Call 1

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

Outputs
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))>
#<alt (/ 2 (+ (exp x) (exp (neg x))))>
#<alt (/ 2 (+ (exp x) (exp (neg x))))>
#<alt (/ 2 (+ (exp x) (exp (neg x))))>
#<alt (/ 2 (+ (exp x) (exp (neg x))))>
#<alt (/ 2 (+ (exp x) (exp (* -1 x))))>
#<alt (/ 2 (+ (exp x) (exp (* -1 x))))>
#<alt (/ 2 (+ (exp x) (exp (* -1 x))))>
#<alt (/ 2 (+ (exp x) (exp (* -1 x))))>
#<alt 2>
#<alt (+ 2 (pow x 2))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (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))>

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(exp (neg x))
1.0ms	x	@	-inf	(/ 2 (+ (exp x) (exp (neg x))))
1.0ms	x	@	inf	(/ 2 (+ (exp x) (exp (neg x))))
0.0ms	x	@	0	(/ 2 (+ (exp x) (exp (neg x))))
0.0ms	x	@	0	(+ (exp x) (exp (neg x)))

rewrite367.0ms (3.6%)

Memory

21.3MiB live, 490.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 044×	`lower-/.f32`
5 042×	`lower-/.f64`
4 012×	`lower-*.f64`
4 012×	`lower-*.f32`
2 444×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	19
0	12	15
1	42	13
2	257	13
3	2370	13
0	9064	13

Stop Event

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

Counts

4 → 392

Calls

Call 1

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

Outputs
(+.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x #s(literal 3 binary64))))) (exp.f64 (+.f64 x x))) (.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x #s(literal 3 binary64))))) (expm1.f64 (-.f64 (neg.f64 x) x))))
(+.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x #s(literal 3 binary64))))) (expm1.f64 (-.f64 (neg.f64 x) x))) (.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x #s(literal 3 binary64))))) (exp.f64 (+.f64 x x))))
(+.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (exp.f64 x)) (.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (neg.f64 (exp.f64 (neg.f64 x)))))
(+.f64 (.f64 (exp.f64 (+.f64 x x)) (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x #s(literal 3 binary64)))))) (.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x #s(literal 3 binary64)))))))
(+.f64 (.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x #s(literal 3 binary64)))))) (.f64 (exp.f64 (+.f64 x x)) (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x #s(literal 3 binary64)))))))
(+.f64 (.f64 (exp.f64 x) (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))) (.f64 (neg.f64 (exp.f64 (neg.f64 x))) (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))))
(exp.f64 (*.f64 (log.f64 (cosh.f64 x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (cosh.f64 x)))
(-.f64 (/.f64 (/.f64 (exp.f64 x) (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) #s(literal 1/2 binary64)) (/.f64 (/.f64 (exp.f64 (neg.f64 x)) (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) #s(literal 1/2 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x))) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x #s(literal 3 binary64))))) #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) #s(literal 1/2 binary64)))
(fma.f64 (exp.f64 x) (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (.f64 (neg.f64 (exp.f64 (neg.f64 x))) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))))
(fma.f64 (exp.f64 (+.f64 x x)) (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x #s(literal 3 binary64))))) (.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))))))
(fma.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x #s(literal 3 binary64))))) (.f64 (exp.f64 (+.f64 x x)) (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))))))
(fma.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x #s(literal 3 binary64))))) (exp.f64 (+.f64 x x)) (.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (expm1.f64 (-.f64 (neg.f64 x) x))))
(fma.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x #s(literal 3 binary64))))) (expm1.f64 (-.f64 (neg.f64 x) x)) (.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (exp.f64 (+.f64 x x))))
(fma.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (exp.f64 x) (.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (neg.f64 (exp.f64 (neg.f64 x)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (cosh.f64 x)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (cosh.f64 x))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(/.f64 #s(literal -2 binary64) (*.f64 (cosh.f64 x) #s(literal -2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (cosh.f64 x)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) (*.f64 (cosh.f64 x) #s(literal 1/2 binary64)))
(/.f64 (/.f64 #s(literal -1/2 binary64) (cosh.f64 x)) #s(literal -1/2 binary64))
(/.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64))))
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)))
(/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64))) (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))))
(/.f64 (.f64 #s(literal 4 binary64) (sinh.f64 x)) (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))
(/.f64 (.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (pow.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) #s(literal 3 binary64)))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x #s(literal 3 binary64)))) (fma.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (-.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x))) (exp.f64 (.f64 x #s(literal 4 binary64))))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)) #s(literal 1 binary64)))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)) #s(literal 1 binary64))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 x #s(literal 3 binary64))))) (.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal 1 binary64))))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 (cosh.f64 x) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)))) (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))))
(/.f64 (neg.f64 (.f64 #s(literal 4 binary64) (sinh.f64 x))) (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))))
(/.f64 (/.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(/.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x #s(literal 3 binary64))))) (+.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (pow.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) #s(literal 3 binary64)))) (fma.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (-.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x))) (exp.f64 (*.f64 x #s(literal 4 binary64)))))
(/.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x #s(literal 3 binary64))))) (.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)) #s(literal 1 binary64)))) (fma.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)) #s(literal 1 binary64)))
(/.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (.f64 #s(literal 2 binary64) (cosh.f64 x)))
(/.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 x #s(literal 3 binary64))))) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -2 binary64))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))) (neg.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 x #s(literal 3 binary64)))))) (neg.f64 (.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (pow.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) #s(literal 3 binary64))))) (neg.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x #s(literal 3 binary64)))) (fma.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (-.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x))) (exp.f64 (.f64 x #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)) #s(literal 1 binary64))))) (neg.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)) #s(literal 1 binary64)))))
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(*.f64 #s(literal 2 binary64) (cosh.f64 x))
(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) (.f64 #s(literal 2 binary64) (sinh.f64 x))))
(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) (/.f64 #s(literal 1/2 binary64) (sinh.f64 x))))
(*.f64 (cosh.f64 x) #s(literal 2 binary64))
(.f64 (cosh.f64 x) (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) (sinh.f64 x)))
(.f64 (cosh.f64 x) (pow.f64 (/.f64 (sinh.f64 x) (.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x)))
(*.f64 #s(literal -2 binary64) (neg.f64 (cosh.f64 x)))
(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64))))
(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64))) #s(literal 1 binary64)))
(.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)) (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64))))
(.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)) (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 (cosh.f64 x) #s(literal -2 binary64)))
(.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)))
(.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) (/.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) #s(literal 1 binary64)))
(.f64 (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)))))
(.f64 (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 x))))
(.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (sinh.f64 x) (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64))) (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))
(.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) #s(literal -1 binary64)))
(*.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(.f64 #s(literal 4 binary64) (.f64 (cosh.f64 x) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 1/2 binary64))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (.f64 #s(literal 2 binary64) (cosh.f64 x)))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (pow.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) #s(literal 3 binary64)))) (fma.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (-.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x))) (exp.f64 (*.f64 x #s(literal 4 binary64)))))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x #s(literal 3 binary64)))) (.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)) #s(literal 1 binary64)))) (fma.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 x #s(literal 3 binary64))))) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 x))) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (sinh.f64 x) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)))))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 x))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (cosh.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x #s(literal 3 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)))))
(.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sinh.f64 x))))
(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) (-.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (exp.f64 (.f64 (neg.f64 x) #s(literal 6 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (neg.f64 x) #s(literal 4 binary64)))))))
(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) (-.f64 (exp.f64 (.f64 x #s(literal 4 binary64))) (exp.f64 (.f64 (neg.f64 x) #s(literal 4 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)))))
(.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)) (+.f64 (exp.f64 (.f64 x #s(literal 9 binary64))) (exp.f64 (.f64 (neg.f64 x) #s(literal 9 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 6 binary64))))))
(.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)) (-.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (exp.f64 (.f64 (neg.f64 x) #s(literal 6 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 3 binary64))))))
(exp.f64 x)
(exp.f64 (*.f64 x #s(literal 1 binary64)))
(exp.f64 (fma.f64 x #s(literal 3 binary64) (-.f64 (neg.f64 x) x)))
(exp.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 x)))
(-.f64 #s(literal 0 binary64) (/.f64 (exp.f64 x) #s(literal -1 binary64)))
(/.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 x))))
(/.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (exp.f64 x))) #s(literal 1 binary64))
(pow.f64 (exp.f64 x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (+.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 x))
(pow.f64 (.f64 (exp.f64 (.f64 x #s(literal 3/2 binary64))) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (-.f64 (neg.f64 x) x)))
(*.f64 (exp.f64 (+.f64 x x)) (exp.f64 (neg.f64 x)))
(exp.f64 (neg.f64 x))
(exp.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(exp.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 x #s(literal -3 binary64))))
(neg.f64 (neg.f64 (exp.f64 (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (exp.f64 x)))))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (+.f64 (log.f64 #s(literal -1 binary64)) x)))
(/.f64 (exp.f64 (/.f64 #s(literal 0 binary64) (.f64 x x))) (exp.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 x x))))
(/.f64 (exp.f64 (/.f64 #s(literal 0 binary64) x)) (exp.f64 x))
(pow.f64 (exp.f64 x) #s(literal -1 binary64))
(pow.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
(pow.f64 (exp.f64 (+.f64 x x)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) x)
(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x #s(literal 1 binary64)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64)))
(pow.f64 (neg.f64 (neg.f64 (exp.f64 x))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (.f64 (exp.f64 x) (exp.f64 (.f64 x #s(literal -3/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (exp.f64 (neg.f64 (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(pow.f64 (exp.f64 (neg.f64 (*.f64 x x))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(.f64 (exp.f64 (+.f64 x x)) (exp.f64 (.f64 x #s(literal -3 binary64))))
(*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 x))))
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (exp.f64 (neg.f64 x))) #s(literal 1 binary64)))
(.f64 (exp.f64 (.f64 x #s(literal -1/2 binary64))) (exp.f64 (*.f64 x #s(literal -1/2 binary64))))
(.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64)))) (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 (exp.f64 (.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (exp.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))

simplify386.0ms (3.8%)

Memory

13.8MiB live, 499.7MiB allocated

Algorithm

1×	egg-herbie

Rules

15 580×	`lower-fma.f64`
15 580×	`lower-fma.f32`
3 668×	`lower-*.f64`
3 668×	`lower-*.f32`
2 386×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	283
1	162	282
2	359	278
3	921	278
4	1406	278
5	2068	278
6	3397	278
7	4663	278
8	5970	278
9	7535	278
0	8007	256

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

Inputs
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
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))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
2
#s(literal 2 binary64)
(+ 2 (pow x 2))
(fma.f64 x x #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(fma.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 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))

eval63.0ms (0.6%)

Memory: -19.7MiB live, 95.7MiB allocated
Compiler: Compiled 8 303 to 1 377 computations (83.4% saved)

prune53.0ms (0.5%)

Memory

5.0MiB live, 120.8MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	430	10	440
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	431	10	441

Accuracy

100.0%

Counts

441 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.6%	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
	49.6%	(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
	49.6%	(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
	49.6%	(/.f64 (.f64 #s(literal 4 binary64) (sinh.f64 x)) (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))
▶	91.1%	(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64)))
▶	85.1%	(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64)))
▶	74.9%	(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
▶	100.0%	(/.f64 #s(literal 1 binary64) (cosh.f64 x))
	49.6%	(.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))))
▶	50.1%	#s(literal 1 binary64)

Compiler

Compiled 224 to 146 computations (34.8% saved)

simplify287.0ms (2.9%)

Memory

25.7MiB live, 268.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x)
✓	cost-diff	(fma.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))
✓	cost-diff	(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64)))
✓	cost-diff	(.f64 (.f64 x x) #s(literal 1/12 binary64))
✓	cost-diff	(fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x)
✓	cost-diff	(fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))
✓	cost-diff	(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64)))
✓	cost-diff	(fma.f64 x x #s(literal 2 binary64))
✓	cost-diff	(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
✓	cost-diff	(cosh.f64 x)
✓	cost-diff	(/.f64 #s(literal 1 binary64) (cosh.f64 x))

Rules

5 128×	`lower-fma.f32`
5 116×	`lower-fma.f64`
1 600×	`lower-*.f32`
1 592×	`lower-*.f64`
640×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	135
0	40	135
1	83	129
2	185	129
3	314	129
4	502	129
5	560	129
6	661	129
7	789	129
8	1099	129
9	1438	129
10	1821	129
11	2257	129
12	2707	129
13	3354	129
14	3416	129
15	3458	129
16	3499	129
17	3642	129
18	3728	129
19	3732	129
20	3732	129
21	3732	129
22	3732	129
23	3736	129
0	3736	123

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
#s(literal 1 binary64)
(cosh.f64 x)
x
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
#s(literal 2 binary64)
(fma.f64 x x #s(literal 2 binary64))
x
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64)))
#s(literal 2 binary64)
(fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))
x
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x)
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(*.f64 x x)
#s(literal 1/12 binary64)
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64)))
#s(literal 2 binary64)
(fma.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))
x
(fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x)
(*.f64 x x)
(.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(*.f64 x #s(literal 1/360 binary64))
#s(literal 1/360 binary64)
#s(literal 1/12 binary64)

Outputs
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
#s(literal 1 binary64)
(cosh.f64 x)
x
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
#s(literal 2 binary64)
(fma.f64 x x #s(literal 2 binary64))
x
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64)))
#s(literal 2 binary64)
(fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))
x
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x)
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(*.f64 x x)
#s(literal 1/12 binary64)
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x) #s(literal 2 binary64)))
#s(literal 2 binary64)
(fma.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))
(fma.f64 x (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x) #s(literal 2 binary64))
x
(fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x)
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x)
(*.f64 x x)
(.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(*.f64 x #s(literal 1/360 binary64))
#s(literal 1/360 binary64)
#s(literal 1/12 binary64)

localize96.0ms (1%)

Memory

-14.9MiB live, 144.2MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
✓	accuracy	99.6%	(*.f64 x #s(literal 1/360 binary64))
✓	accuracy	99.6%	(.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
✓	accuracy	99.4%	(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64)))
✓	accuracy	100.0%	(fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))
✓	accuracy	99.9%	(fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x)
✓	accuracy	99.9%	(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64)))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 1/12 binary64))
✓	accuracy	100.0%	(fma.f64 x x #s(literal 2 binary64))
✓	accuracy	99.2%	(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
✓	accuracy	100.0%	(cosh.f64 x)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (cosh.f64 x))

Samples

69.0ms

256×

valid

Compiler

Compiled 154 to 27 computations (82.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-add: 23.0ms (41.9% of total)

ival-mult: 12.0ms (21.9% of total)

ival-div: 10.0ms (18.2% of total)

const: 6.0ms (10.9% of total)

ival-cosh: 3.0ms (5.5% of total)

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

exact: 0.0ms (0% of total)

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

series13.0ms (0.1%)

Memory

16.1MiB live, 16.1MiB allocated

Counts

15 → 180

Calls

Call 1

Inputs
#<alt (/.f64 #s(literal 1 binary64) (cosh.f64 x))>
#<alt (cosh.f64 x)>
#<alt (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))>
#<alt (fma.f64 x x #s(literal 2 binary64))>
#<alt (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64)))>
#<alt (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))>
#<alt (fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x)>
#<alt (.f64 (.f64 x x) #s(literal 1/12 binary64))>
#<alt (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64)))>
#<alt (fma.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))>
#<alt (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x)>
#<alt (*.f64 x x)>
#<alt (.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))>
#<alt (*.f64 x #s(literal 1/360 binary64))>
#<alt (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))>

Outputs
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))>
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (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 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/4 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/4 (* -1/8 (pow x 2)))) 1/2)))>
#<alt (/ 2 (pow x 2))>
#<alt (/ (- 2 (* 4 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 2 (/ 8 (pow x 4))) (* 4 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 2 (/ 8 (pow x 4))) (+ (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (pow x 6))))) (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ (- 2 (* 4 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 2 (/ 8 (pow x 4))) (* 4 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 2 (/ 8 (pow x 4))) (+ (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (pow x 6))))) (pow x 2))>
#<alt 2>
#<alt (+ 2 (pow x 2))>
#<alt (+ 2 (pow x 2))>
#<alt (+ 2 (pow x 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -1/12 (pow x 2)))) 1/2)))>
#<alt (/ 24 (pow x 4))>
#<alt (/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 24 (/ 2880 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 24 (/ 2880 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 27648 (/ 1 (pow x 6))))) (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 24 (/ 2880 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 24 (/ 2880 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 27648 (/ 1 (pow x 6))))) (pow x 4))>
#<alt 2>
#<alt (+ 2 (pow x 2))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))>
#<alt (* 1/12 (pow x 4))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))>
#<alt (* 1/12 (pow x 4))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/12 (pow x 2))))>
#<alt (* x (+ 1 (* 1/12 (pow x 2))))>
#<alt (* x (+ 1 (* 1/12 (pow x 2))))>
#<alt (* 1/12 (pow x 3))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* 1/12 (pow x 3))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))>
#<alt (/ 720 (pow x 6))>
#<alt (/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))>
#<alt (/ 720 (pow x 6))>
#<alt (/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))>
#<alt 2>
#<alt (+ 2 (pow x 2))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))>
#<alt x>
#<alt (* x (+ 1 (* 1/12 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* 1/360 (pow x 5))>
#<alt (* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/360 (pow x 5))>
#<alt (* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))>
#<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 (* 1/12 x)>
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* 1/360 (pow x 3))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* 1/360 (pow x 3))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt 1/12>
#<alt (+ 1/12 (* 1/360 (pow x 2)))>
#<alt (+ 1/12 (* 1/360 (pow x 2)))>
#<alt (+ 1/12 (* 1/360 (pow x 2)))>
#<alt (* 1/360 (pow x 2))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* 1/360 (pow x 2))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>

Calls

45 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(/ 1 (cosh x))
1.0ms	x	@	inf	(* (* x x) 1/12)
1.0ms	x	@	-inf	(/ 1 (cosh x))
0.0ms	x	@	-inf	(/ 2 (+ (* x (+ (* (* x x) (* x (+ (* x (* x 1/360)) 1/12))) x)) 2))
0.0ms	x	@	inf	(/ 2 (+ (* x (+ (* (* x x) (* x (+ (* x (* x 1/360)) 1/12))) x)) 2))

rewrite740.0ms (7.3%)

Memory

-23.9MiB live, 493.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 300×	`lower-fma.f32`
7 288×	`lower-fma.f64`
4 974×	`lower-*.f32`
4 966×	`lower-*.f64`
4 432×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	120
0	40	120
1	180	114
2	1274	114
0	8377	108

Stop Event

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

Counts

15 → 457

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(cosh.f64 x)
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
(fma.f64 x x #s(literal 2 binary64))
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64)))
(fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x)
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64)))
(fma.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))
(fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x)
(*.f64 x x)
(.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(*.f64 x #s(literal 1/360 binary64))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))

Outputs
(exp.f64 (*.f64 (log.f64 (cosh.f64 x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (cosh.f64 x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (cosh.f64 x)))
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (cosh.f64 x)))
(/.f64 #s(literal -2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(pow.f64 (cosh.f64 x) #s(literal -1 binary64))
(pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (cosh.f64 x))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal 1 binary64))
(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cosh.f64 x)))
(*.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64))
(exp.f64 (neg.f64 (*.f64 (log.f64 (cosh.f64 x)) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 (cosh.f64 x)))
(-.f64 #s(literal 0 binary64) (/.f64 (cosh.f64 x) #s(literal -1 binary64)))
(cosh.f64 x)
(neg.f64 (neg.f64 (cosh.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal 1 binary64)))
(/.f64 (cosh.f64 x) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x))))
(/.f64 (neg.f64 (cosh.f64 x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -2 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 2 binary64))
(pow.f64 (cosh.f64 x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (cosh.f64 x))
(*.f64 (cosh.f64 x) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (cosh.f64 x)))
(*.f64 (neg.f64 (cosh.f64 x)) #s(literal -1 binary64))
(.f64 (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -1/2 binary64))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal 2 binary64))))
(neg.f64 (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(/.f64 #s(literal -2 binary64) (-.f64 #s(literal -2 binary64) (*.f64 x x)))
(/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (-.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 (-.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (.f64 x x))) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (.f64 x x))))))) (.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal 8 binary64)) (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (-.f64 (.f64 (-.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (.f64 x x))) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (.f64 x x)))) (.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (*.f64 x x))))))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 4 binary64)) (.f64 #s(literal -2 binary64) (.f64 x x))) (-.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (.f64 x x)))))) (.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal 8 binary64)) (-.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (*.f64 x x))))))
(/.f64 (.f64 #s(literal 2 binary64) (fma.f64 x (.f64 x (.f64 x x)) #s(literal -4 binary64))) (.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -4 binary64)) (fma.f64 x x #s(literal 2 binary64))))
(/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -8 binary64))) (.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -4 binary64)) (fma.f64 x (.f64 x (.f64 x x)) (+.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (.f64 x x))))))
(pow.f64 (*.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64))
(.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal 8 binary64))) (+.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 4 binary64)) (.f64 #s(literal -2 binary64) (*.f64 x x))))
(.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (.f64 x (*.f64 x x)) #s(literal -4 binary64))) (fma.f64 x x #s(literal -2 binary64)))
(.f64 (pow.f64 (.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
(+.f64 #s(literal 2 binary64) (*.f64 x x))
(+.f64 (*.f64 x x) #s(literal 2 binary64))
(+.f64 (/.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal -2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (fma.f64 x x #s(literal -2 binary64)))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -2 binary64) (*.f64 x x)))
(-.f64 (/.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 x x #s(literal -2 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 4 binary64) (fma.f64 x x #s(literal -2 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (.f64 x x))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 2 binary64) (*.f64 x x))))
(fma.f64 x x #s(literal 2 binary64))
(fma.f64 (.f64 x (.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (fma.f64 x x #s(literal -2 binary64)))))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(neg.f64 (-.f64 #s(literal -2 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (fma.f64 x (.f64 x (.f64 x x)) (.f64 #s(literal -2 binary64) (.f64 x x)))) (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal 8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (.f64 x x)) (-.f64 #s(literal 4 binary64) (.f64 x (.f64 x (.f64 x x))))))
(/.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal -1 binary64))
(/.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal 8 binary64)) (+.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 4 binary64)) (.f64 #s(literal -2 binary64) (.f64 x x))))
(/.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (fma.f64 x (.f64 x (.f64 x x)) (.f64 #s(literal -2 binary64) (.f64 x x)))))
(/.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -4 binary64)) (fma.f64 x x #s(literal -2 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal 8 binary64))) (neg.f64 (+.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 4 binary64)) (.f64 #s(literal -2 binary64) (.f64 x x)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal 8 binary64))) (neg.f64 (+.f64 #s(literal 4 binary64) (fma.f64 x (.f64 x (.f64 x x)) (.f64 #s(literal -2 binary64) (.f64 x x))))))
(/.f64 (neg.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -4 binary64))) (neg.f64 (fma.f64 x x #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 4 binary64) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 2 binary64) (.f64 x x)))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal -2 binary64))) (.f64 (fma.f64 x x #s(literal -2 binary64)) #s(literal 4 binary64))) (.f64 (fma.f64 x x #s(literal -2 binary64)) (fma.f64 x x #s(literal -2 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) #s(literal 512 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 8 binary64)))) (+.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 4 binary64)) (.f64 #s(literal -2 binary64) (.f64 x x)))))
(/.f64 (.f64 (fma.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 -64 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -8 binary64)) (+.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 4 binary64)) (.f64 #s(literal -2 binary64) (.f64 x x)))))
(/.f64 (.f64 (fma.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 -64 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 4 binary64)))) (fma.f64 x x #s(literal -2 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))) #s(literal -16 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 4 binary64)) (fma.f64 x x #s(literal -2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal 8 binary64)))) (neg.f64 (neg.f64 (+.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 4 binary64)) (.f64 #s(literal -2 binary64) (.f64 x x))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -4 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x #s(literal -2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (.f64 x (.f64 x (.f64 x x))))) (neg.f64 (-.f64 #s(literal 2 binary64) (.f64 x x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (fma.f64 x x #s(literal -2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal -2 binary64))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal -2 binary64))) (fma.f64 (/.f64 #s(literal 4 binary64) (fma.f64 x x #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 x x #s(literal -2 binary64))) (.f64 (/.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 x x #s(literal -2 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal -2 binary64))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal -2 binary64)))) (.f64 (/.f64 #s(literal 4 binary64) (fma.f64 x x #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 x x #s(literal -2 binary64))))) (+.f64 (/.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 x x #s(literal -2 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 2 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 2 binary64)))
(*.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (.f64 x x)))
(.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 4 binary64)) (.f64 #s(literal -2 binary64) (*.f64 x x)))))
(.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (fma.f64 x (.f64 x (.f64 x x)) (.f64 #s(literal -2 binary64) (*.f64 x x))))))
(.f64 (fma.f64 x (.f64 x (*.f64 x x)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -2 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 4 binary64)) (.f64 #s(literal -2 binary64) (*.f64 x x))))))
(.f64 (neg.f64 (fma.f64 x (.f64 x (*.f64 x x)) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x #s(literal -2 binary64)))))
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(-.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64)) (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64))) (/.f64 #s(literal 1/144 binary64) (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64))))
(-.f64 (/.f64 #s(literal 1/144 binary64) (-.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64)))) (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64)) (-.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64)))))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(fma.f64 (*.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64))
(fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64))) (neg.f64 (/.f64 #s(literal 1/144 binary64) (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/144 binary64) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64)) (.f64 (.f64 x x) #s(literal 1/4320 binary64)))) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))) #s(literal 1/46656000 binary64) #s(literal 1/1728 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))) (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/46656000 binary64) #s(literal 1/1728 binary64)) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64) (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) #s(literal 1/4320 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/46656000 binary64) #s(literal 1/1728 binary64)) (+.f64 #s(literal 1/144 binary64) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64)) (.f64 (*.f64 x x) #s(literal 1/4320 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)) (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/46656000 binary64) #s(literal 1/1728 binary64))) (neg.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64) (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) #s(literal 1/4320 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/46656000 binary64) #s(literal 1/1728 binary64))) (neg.f64 (+.f64 #s(literal 1/144 binary64) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64)) (.f64 (*.f64 x x) #s(literal 1/4320 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64) #s(literal -1/144 binary64))) (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64))))
(/.f64 (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64))) (-.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64)) (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64)) #s(literal 1/144 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x)))) #s(literal 1/101559956668416000000000 binary64) #s(literal 1/5159780352 binary64)) #s(literal 1 binary64)) (.f64 (fma.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 1/2176782336000000 binary64) (-.f64 #s(literal 1/2985984 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/80621568000 binary64)))) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64) (-.f64 #s(literal 1/144 binary64) (.f64 (*.f64 x x) #s(literal 1/4320 binary64))))))
(/.f64 (.f64 (fma.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 1/2176782336000000 binary64) #s(literal -1/2985984 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/46656000 binary64)) #s(literal -1/1728 binary64)) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64) (-.f64 #s(literal 1/144 binary64) (.f64 (*.f64 x x) #s(literal 1/4320 binary64))))))
(/.f64 (.f64 (fma.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 1/2176782336000000 binary64) #s(literal -1/2985984 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1/16796160000 binary64) (+.f64 #s(literal 1/20736 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/18662400 binary64)))) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1/16796160000 binary64) #s(literal -1/20736 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64) #s(literal 1/144 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/46656000 binary64) #s(literal 1/1728 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64) (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) #s(literal 1/4320 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64)))) (neg.f64 (-.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64)) (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/144 binary64) (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64)) (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64))) (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64)) (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64))) (fma.f64 (/.f64 #s(literal 1/144 binary64) (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64))) (/.f64 #s(literal 1/144 binary64) (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64))) (.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64)) (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64))) (/.f64 #s(literal 1/144 binary64) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64)) (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64))) (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64)) (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64)))) (.f64 (/.f64 #s(literal 1/144 binary64) (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64))) (/.f64 #s(literal 1/144 binary64) (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64))))) (+.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64)) (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64))) (/.f64 #s(literal 1/144 binary64) (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))
(.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/46656000 binary64) #s(literal 1/1728 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64) (-.f64 #s(literal 1/144 binary64) (.f64 (*.f64 x x) #s(literal 1/4320 binary64))))))
(.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/46656000 binary64) #s(literal 1/1728 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/144 binary64) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64)) (.f64 (.f64 x x) #s(literal 1/4320 binary64))))))
(.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/46656000 binary64) #s(literal 1/1728 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64) (-.f64 #s(literal 1/144 binary64) (.f64 (*.f64 x x) #s(literal 1/4320 binary64)))))))
(.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64) #s(literal -1/144 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64)))))
(.f64 (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/12 binary64) (.f64 (*.f64 x x) #s(literal 1/360 binary64)))))

simplify524.0ms (5.2%)

Memory

-3.6MiB live, 481.0MiB allocated

Algorithm

1×	egg-herbie

Rules

12 198×	`lower-fma.f64`
12 198×	`lower-fma.f32`
3 538×	`lower-*.f64`
3 538×	`lower-*.f32`
3 166×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	169	1534
1	492	1502
2	1239	1500
3	3411	1478
4	6801	1478
0	8114	1388

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 178

Calls

Call 1

Inputs
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/4 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/4 (* -1/8 (pow x 2)))) 1/2)))
(/ 2 (pow x 2))
(/ (- 2 (* 4 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 2 (/ 8 (pow x 4))) (* 4 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 2 (/ 8 (pow x 4))) (+ (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (pow x 6))))) (pow x 2))
(/ 2 (pow x 2))
(/ (- 2 (* 4 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 2 (/ 8 (pow x 4))) (* 4 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 2 (/ 8 (pow x 4))) (+ (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (pow x 6))))) (pow x 2))
2
(+ 2 (pow x 2))
(+ 2 (pow x 2))
(+ 2 (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -1/12 (pow x 2)))) 1/2)))
(/ 24 (pow x 4))
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 24 (/ 2880 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 24 (/ 2880 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 27648 (/ 1 (pow x 6))))) (pow x 4))
(/ 24 (pow x 4))
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 24 (/ 2880 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 24 (/ 2880 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 27648 (/ 1 (pow x 6))))) (pow x 4))
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* 1/12 (pow x 2))))
(* 1/12 (pow x 3))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* 1/12 (pow x 3))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(/ 720 (pow x 6))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))
(/ 720 (pow x 6))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* 1/360 (pow x 5))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/360 (pow x 5))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))
(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)
(* 1/12 x)
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* 1/360 (pow x 3))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 3))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
1/12
(+ 1/12 (* 1/360 (pow x 2)))
(+ 1/12 (* 1/360 (pow x 2)))
(+ 1/12 (* 1/360 (pow x 2)))
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #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))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/4 (pow x 2)) 1/2)))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/4 (* -1/8 (pow x 2)))) 1/2)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ (- 2 (* 4 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (.f64 x x))) (.f64 x x))
(/ (- (+ 2 (/ 8 (pow x 4))) (* 4 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (.f64 x x))) (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x (.f64 x x))))) (*.f64 x x))
(/ (- (+ 2 (/ 8 (pow x 4))) (+ (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal -4 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -16 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))) (.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ (- 2 (* 4 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (.f64 x x))) (.f64 x x))
(/ (- (+ 2 (/ 8 (pow x 4))) (* 4 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (.f64 x x))) (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x (.f64 x x))))) (*.f64 x x))
(/ (- (+ 2 (/ 8 (pow x 4))) (+ (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal -4 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -16 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))) (.f64 x x))
2
#s(literal 2 binary64)
(+ 2 (pow x 2))
(fma.f64 x x #s(literal 2 binary64))
(+ 2 (pow x 2))
(fma.f64 x x #s(literal 2 binary64))
(+ 2 (pow x 2))
(fma.f64 x x #s(literal 2 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal 2 binary64))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal 2 binary64))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal 2 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal 2 binary64))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal 2 binary64))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal 2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -1/12 (pow x 2)))) 1/2)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/ 24 (pow x 4))
(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))
(/ (- (+ 24 (/ 2880 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/.f64 (+.f64 #s(literal 24 binary64) (+.f64 (/.f64 #s(literal 2880 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -288 binary64) (.f64 x x)))) (.f64 x (.f64 x (*.f64 x x))))
(/ (- (+ 24 (/ 2880 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 27648 (/ 1 (pow x 6))))) (pow x 4))
(/.f64 (+.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 2880 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -27648 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (.f64 x (.f64 x (.f64 x x))))
(/ 24 (pow x 4))
(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))
(/ (- (+ 24 (/ 2880 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/.f64 (+.f64 #s(literal 24 binary64) (+.f64 (/.f64 #s(literal 2880 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -288 binary64) (.f64 x x)))) (.f64 x (.f64 x (*.f64 x x))))
(/ (- (+ 24 (/ 2880 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 27648 (/ 1 (pow x 6))))) (pow x 4))
(/.f64 (+.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 2880 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -27648 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (.f64 x (.f64 x (.f64 x x))))
2
#s(literal 2 binary64)
(+ 2 (pow x 2))
(fma.f64 x x #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(fma.f64 x (fma.f64 (.f64 x x) (.f64 x #s(literal 1/12 binary64)) x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(fma.f64 x (fma.f64 (.f64 x x) (.f64 x #s(literal 1/12 binary64)) x) #s(literal 2 binary64))
(* 1/12 (pow x 4))
(.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) (*.f64 x #s(literal 1/12 binary64)) x))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x))))) (*.f64 x x))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x))))) (*.f64 x x))
(* 1/12 (pow x 4))
(.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) (*.f64 x #s(literal 1/12 binary64)) x))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x))))) (*.f64 x x))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x))))) (*.f64 x x))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(fma.f64 (.f64 x x) (.f64 x #s(literal 1/12 binary64)) x)
(* x (+ 1 (* 1/12 (pow x 2))))
(fma.f64 (.f64 x x) (.f64 x #s(literal 1/12 binary64)) x)
(* x (+ 1 (* 1/12 (pow x 2))))
(fma.f64 (.f64 x x) (.f64 x #s(literal 1/12 binary64)) x)
(* 1/12 (pow x 3))
(.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 (.f64 x x) (.f64 x #s(literal 1/12 binary64)) x)
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 (.f64 x x) (.f64 x #s(literal 1/12 binary64)) x)
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 (.f64 x x) (.f64 x #s(literal 1/12 binary64)) x)
(* 1/12 (pow x 3))
(.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 (.f64 x x) (.f64 x #s(literal 1/12 binary64)) x)
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 (.f64 x x) (.f64 x #s(literal 1/12 binary64)) x)
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 (.f64 x x) (.f64 x #s(literal 1/12 binary64)) x)
(* 1/12 (pow x 2))
(.f64 x (.f64 x #s(literal 1/12 binary64)))
(* 1/12 (pow x 2))
(.f64 x (.f64 x #s(literal 1/12 binary64)))
(* 1/12 (pow x 2))
(.f64 x (.f64 x #s(literal 1/12 binary64)))
(* 1/12 (pow x 2))
(.f64 x (.f64 x #s(literal 1/12 binary64)))
(* 1/12 (pow x 2))
(.f64 x (.f64 x #s(literal 1/12 binary64)))
(* 1/12 (pow x 2))
(.f64 x (.f64 x #s(literal 1/12 binary64)))
(* 1/12 (pow x 2))
(.f64 x (.f64 x #s(literal 1/12 binary64)))
(* 1/12 (pow x 2))
(.f64 x (.f64 x #s(literal 1/12 binary64)))
(* 1/12 (pow x 2))
(.f64 x (.f64 x #s(literal 1/12 binary64)))
(* 1/12 (pow x 2))
(.f64 x (.f64 x #s(literal 1/12 binary64)))
(* 1/12 (pow x 2))
(.f64 x (.f64 x #s(literal 1/12 binary64)))
(* 1/12 (pow x 2))
(.f64 x (.f64 x #s(literal 1/12 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/ 720 (pow x 6))
(/.f64 #s(literal 720 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/.f64 (+.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal 388800 binary64) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal -21600 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))
(/.f64 (+.f64 (+.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal 388800 binary64) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal -21600 binary64) (.f64 x x))) (/.f64 #s(literal -4406400 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))
(/ 720 (pow x 6))
(/.f64 #s(literal 720 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/.f64 (+.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal 388800 binary64) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal -21600 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))
(/.f64 (+.f64 (+.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal 388800 binary64) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal -21600 binary64) (.f64 x x))) (/.f64 #s(literal -4406400 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))
2
#s(literal 2 binary64)
(+ 2 (pow x 2))
(fma.f64 x x #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(fma.f64 x (fma.f64 (.f64 x x) (.f64 x #s(literal 1/12 binary64)) x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(* 1/360 (pow x 6))
(.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/360 binary64)))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))
(fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))) #s(literal 2 binary64))
(* 1/360 (pow x 6))
(.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/360 binary64)))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))
(fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))) #s(literal 2 binary64))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(fma.f64 (.f64 x x) (.f64 x #s(literal 1/12 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x)
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x)
(* 1/360 (pow x 5))
(.f64 (.f64 x (.f64 x (.f64 x (*.f64 x x)))) #s(literal 1/360 binary64))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) x))
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 (+.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 (+.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))
(* 1/360 (pow x 5))
(.f64 (.f64 x (.f64 x (.f64 x (*.f64 x x)))) #s(literal 1/360 binary64))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) x))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (-.f64 #s(literal 1/360 binary64) (/.f64 (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))) (*.f64 x x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (-.f64 #s(literal 1/360 binary64) (/.f64 (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))) (*.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)
(pow x 2)
(*.f64 x x)
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(* 1/360 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/360 binary64))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(* 1/360 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/360 binary64))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
1/12
#s(literal 1/12 binary64)
(+ 1/12 (* 1/360 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(+ 1/12 (* 1/360 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(+ 1/12 (* 1/360 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(* 1/360 (pow x 2))
(.f64 x (.f64 x #s(literal 1/360 binary64)))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(* 1/360 (pow x 2))
(.f64 x (.f64 x #s(literal 1/360 binary64)))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))

eval155.0ms (1.5%)

Memory: 10.3MiB live, 123.2MiB allocated
Compiler: Compiled 21 959 to 2 001 computations (90.9% saved)

prune148.0ms (1.5%)

Memory

2.4MiB live, 163.9MiB allocated

Pruning

30 alts after pruning (26 fresh and 4 done)

	Pruned	Kept	Total
New	631	22	653
Fresh	1	4	5
Picked	1	4	5
Done	0	0	0
Total	633	30	663

Accuracy

100.0%

Counts

663 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.6%	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
	49.6%	(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
▶	49.6%	(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
	42.6%	(/.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))
	36.8%	(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))
	49.6%	(/.f64 (.f64 #s(literal 4 binary64) (sinh.f64 x)) (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))
	44.0%	(/.f64 #s(literal 720 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
	38.2%	(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (*.f64 x x))))
	91.1%	(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x) x #s(literal 2 binary64)))
	91.1%	(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (fma.f64 x x #s(literal 2 binary64))))
	91.1%	(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
	66.8%	(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64) #s(literal -1/144 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64))) x) #s(literal 2 binary64)))
	85.1%	(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64)))
▶	85.1%	(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) x x) #s(literal 2 binary64)))
	59.5%	(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/360 binary64)) (.f64 #s(literal -1/12 binary64) x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/360 binary64)) (*.f64 #s(literal -1/12 binary64) x)))) x) #s(literal 2 binary64)))
▶	90.9%	(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) #s(literal 1/360 binary64)) x) #s(literal 2 binary64)))
	66.1%	(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (.f64 x x) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))) (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64)))))) x) #s(literal 2 binary64)))
✓	85.1%	(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64)))
	90.8%	(/.f64 #s(literal 2 binary64) (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x (*.f64 x x)))) #s(literal 1/360 binary64)) #s(literal 2 binary64)))
✓	74.9%	(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
▶	43.3%	(/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x)))))
	38.5%	(/.f64 #s(literal 2 binary64) (.f64 x (fma.f64 (.f64 x x) (*.f64 x #s(literal 1/12 binary64)) x)))
	44.0%	(/.f64 #s(literal 2 binary64) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/360 binary64))))
	38.2%	(/.f64 #s(literal 2 binary64) (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x)))))
	28.3%	(/.f64 #s(literal 2 binary64) (*.f64 x x))
▶	91.1%	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
✓	100.0%	(/.f64 #s(literal 1 binary64) (cosh.f64 x))
	49.6%	(.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))))
	56.5%	(.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) (.f64 x #s(literal 1/12 binary64)) x) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/12 binary64)) x)) #s(literal -4 binary64))) (fma.f64 x (fma.f64 (.f64 x x) (*.f64 x #s(literal 1/12 binary64)) x) #s(literal -2 binary64)))
✓	50.1%	#s(literal 1 binary64)

Compiler

Compiled 990 to 546 computations (44.8% saved)

simplify361.0ms (3.6%)

Memory

-1.1MiB live, 478.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x)))))
✓	cost-diff	1152	(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) #s(literal 1/360 binary64)) x)
✓	cost-diff	0	(fma.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) #s(literal 1/360 binary64)) x) #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) #s(literal 1/360 binary64)) x) #s(literal 2 binary64)))
✓	cost-diff	0	(.f64 x (.f64 x #s(literal 1/12 binary64)))
✓	cost-diff	0	(fma.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) x x)
✓	cost-diff	0	(fma.f64 x (fma.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) x x) #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) x x) #s(literal 2 binary64)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
✓	cost-diff	0	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))

Rules

6 780×	`lower-*.f32`
6 764×	`lower-*.f64`
4 016×	`lower-fma.f32`
4 000×	`lower-fma.f64`
2 414×	`cube-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	258
0	61	232
1	144	210
2	376	206
3	817	206
4	1248	206
5	1747	206
6	2877	206
7	3617	206
8	3996	206
9	4548	206
10	5288	206
11	5563	206
12	5731	206
13	5848	206
14	5967	206
15	6088	206
16	7126	206
17	7549	206
18	7726	206
19	7843	206
20	7954	206
0	8037	198

Stop Event

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

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 x x)
x
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
#s(literal 1/720 binary64)
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(*.f64 x x)
x
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) x x) #s(literal 2 binary64)))
#s(literal 2 binary64)
(fma.f64 x (fma.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) x x) #s(literal 2 binary64))
x
(fma.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) x x)
(.f64 x (.f64 x #s(literal 1/12 binary64)))
(*.f64 x #s(literal 1/12 binary64))
#s(literal 1/12 binary64)
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) #s(literal 1/360 binary64)) x) #s(literal 2 binary64)))
#s(literal 2 binary64)
(fma.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) #s(literal 1/360 binary64)) x) #s(literal 2 binary64))
x
(fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) #s(literal 1/360 binary64)) x)
(*.f64 x x)
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/360 binary64))
(.f64 x (.f64 x x))
#s(literal 1/360 binary64)
(/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x)))))
#s(literal 2 binary64)
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x))))
(.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))
(*.f64 x x)
x
(.f64 x (.f64 x (*.f64 x x)))
(.f64 x (.f64 x x))
(+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x)))
#s(literal 1/360 binary64)
(/.f64 #s(literal 1/12 binary64) (*.f64 x x))
#s(literal 1/12 binary64)

Outputs
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 x x)
x
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
#s(literal 1/720 binary64)
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(*.f64 x x)
x
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) x x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (.f64 x (.f64 x #s(literal 1/12 binary64))) x) #s(literal 2 binary64)))
#s(literal 2 binary64)
(fma.f64 x (fma.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) x x) #s(literal 2 binary64))
(fma.f64 x (fma.f64 x (.f64 x (.f64 x #s(literal 1/12 binary64))) x) #s(literal 2 binary64))
x
(fma.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) x x)
(fma.f64 x (.f64 x (.f64 x #s(literal 1/12 binary64))) x)
(.f64 x (.f64 x #s(literal 1/12 binary64)))
(*.f64 x #s(literal 1/12 binary64))
#s(literal 1/12 binary64)
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) #s(literal 1/360 binary64)) x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) #s(literal 1/360 binary64))) x) #s(literal 2 binary64)))
#s(literal 2 binary64)
(fma.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) #s(literal 1/360 binary64)) x) #s(literal 2 binary64))
(fma.f64 x (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) #s(literal 1/360 binary64))) x) #s(literal 2 binary64))
x
(fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) #s(literal 1/360 binary64)) x)
(fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) #s(literal 1/360 binary64))) x)
(*.f64 x x)
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/360 binary64))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/360 binary64)))
(.f64 x (.f64 x x))
#s(literal 1/360 binary64)
(/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x)))))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))
#s(literal 2 binary64)
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x))))
(.f64 x (.f64 (.f64 x (.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))
(.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))
(.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))
(*.f64 x x)
x
(.f64 x (.f64 x (*.f64 x x)))
(.f64 x (.f64 x x))
(+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x)))
#s(literal 1/360 binary64)
(/.f64 #s(literal 1/12 binary64) (*.f64 x x))
#s(literal 1/12 binary64)

localize125.0ms (1.2%)

Memory

16.7MiB live, 326.7MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.4%	(/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x)))))
✓	accuracy	99.1%	(/.f64 #s(literal 1/12 binary64) (*.f64 x x))
✓	accuracy	71.9%	(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x))))
✓	accuracy	99.9%	(fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) #s(literal 1/360 binary64)) x)
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.8%	(.f64 (.f64 x (*.f64 x x)) #s(literal 1/360 binary64))
✓	accuracy	99.5%	(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) #s(literal 1/360 binary64)) x) #s(literal 2 binary64)))
✓	accuracy	99.9%	(fma.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) x x)
✓	accuracy	99.9%	(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) x x) #s(literal 2 binary64)))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 1/12 binary64)))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/12 binary64))
✓	accuracy	100.0%	(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	accuracy	99.9%	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
✓	accuracy	99.8%	(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
✓	accuracy	99.4%	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))

Samples

79.0ms

256×

valid

Compiler

Compiled 280 to 41 computations (85.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-mult: 27.0ms (45.8% of total)

ival-add: 12.0ms (20.3% of total)

const: 11.0ms (18.6% of total)

ival-div: 9.0ms (15.3% of total)

exact: 1.0ms (1.7% of total)

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

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

series44.0ms (0.4%)

Memory

-11.4MiB live, 26.3MiB allocated

Counts

20 → 240

Calls

Call 1

Inputs
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))>
#<alt (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))>
#<alt (*.f64 x x)>
#<alt (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))>
#<alt (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))>
#<alt (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) x x) #s(literal 2 binary64)))>
#<alt (fma.f64 x (fma.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) x x) #s(literal 2 binary64))>
#<alt (fma.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) x x)>
#<alt (.f64 x (.f64 x #s(literal 1/12 binary64)))>
#<alt (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) #s(literal 1/360 binary64)) x) #s(literal 2 binary64)))>
#<alt (fma.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) #s(literal 1/360 binary64)) x) #s(literal 2 binary64))>
#<alt (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) #s(literal 1/360 binary64)) x)>
#<alt (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x))))>
#<alt (/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x)))))>
#<alt (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))>
#<alt (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))>
#<alt (*.f64 x #s(literal 1/12 binary64))>
#<alt (.f64 (.f64 x (*.f64 x x)) #s(literal 1/360 binary64))>
#<alt (.f64 x (.f64 x x))>
#<alt (/.f64 #s(literal 1/12 binary64) (*.f64 x x))>

Outputs
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))>
#<alt (/ 720 (pow x 6))>
#<alt (/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))>
#<alt (/ 720 (pow x 6))>
#<alt (/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))>
#<alt (* 1/720 (pow x 6))>
#<alt (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/720 (pow x 6))>
#<alt (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 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 1/2>
#<alt (+ 1/2 (* 1/24 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))>
#<alt (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))>
#<alt (* 1/720 (pow x 4))>
#<alt (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* 1/720 (pow x 4))>
#<alt (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -1/12 (pow x 2)))) 1/2)))>
#<alt (/ 24 (pow x 4))>
#<alt (/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 24 (/ 2880 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 24 (/ 2880 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 27648 (/ 1 (pow x 6))))) (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 24 (/ 2880 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 24 (/ 2880 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 27648 (/ 1 (pow x 6))))) (pow x 4))>
#<alt 2>
#<alt (+ 2 (pow x 2))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))>
#<alt (* 1/12 (pow x 4))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))>
#<alt (* 1/12 (pow x 4))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/12 (pow x 2))))>
#<alt (* x (+ 1 (* 1/12 (pow x 2))))>
#<alt (* x (+ 1 (* 1/12 (pow x 2))))>
#<alt (* 1/12 (pow x 3))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* 1/12 (pow x 3))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/4 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/4 (* -91/720 (pow x 2)))) 1/2)))>
#<alt (/ 720 (pow x 6))>
#<alt (/ (- 720 (* 259200 (/ 1 (pow x 4)))) (pow x 6))>
#<alt (/ (+ 720 (* -1 (/ (+ 259200 (* 518400 (/ 1 (pow x 2)))) (pow x 4)))) (pow x 6))>
#<alt (/ (- (+ 720 (* 93312000 (/ 1 (pow x 8)))) (+ (* 259200 (/ 1 (pow x 4))) (/ 518400 (pow x 6)))) (pow x 6))>
#<alt (/ 720 (pow x 6))>
#<alt (/ (- 720 (* 259200 (/ 1 (pow x 4)))) (pow x 6))>
#<alt (/ (+ 720 (* -1 (/ (+ 259200 (* 518400 (/ 1 (pow x 2)))) (pow x 4)))) (pow x 6))>
#<alt (/ (- (+ 720 (* 93312000 (/ 1 (pow x 8)))) (+ (* 259200 (/ 1 (pow x 4))) (/ 518400 (pow x 6)))) (pow x 6))>
#<alt 2>
#<alt (+ 2 (pow x 2))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* 1/360 (pow x 4)))))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* 1/360 (pow x 4)))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (/ 1 (pow x 4))))>
#<alt (* (pow x 6) (+ 1/360 (+ (/ 1 (pow x 4)) (/ 2 (pow x 6)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (/ 1 (pow x 4)) (/ 2 (pow x 6)))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (/ 1 (pow x 4))))>
#<alt (* (pow x 6) (+ 1/360 (+ (/ 1 (pow x 4)) (/ 2 (pow x 6)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (/ 1 (pow x 4)) (/ 2 (pow x 6)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/360 (pow x 4))))>
#<alt (* x (+ 1 (* 1/360 (pow x 4))))>
#<alt (* x (+ 1 (* 1/360 (pow x 4))))>
#<alt (* 1/360 (pow x 5))>
#<alt (* (pow x 5) (+ 1/360 (/ 1 (pow x 4))))>
#<alt (* (pow x 5) (+ 1/360 (/ 1 (pow x 4))))>
#<alt (* (pow x 5) (+ 1/360 (/ 1 (pow x 4))))>
#<alt (* 1/360 (pow x 5))>
#<alt (* (pow x 5) (+ 1/360 (/ 1 (pow x 4))))>
#<alt (* (pow x 5) (+ 1/360 (/ 1 (pow x 4))))>
#<alt (* (pow x 5) (+ 1/360 (/ 1 (pow x 4))))>
#<alt (* 1/12 (pow x 4))>
#<alt (* (pow x 4) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (/ 24 (pow x 4))>
#<alt (/ (+ 24 (* -4/5 (pow x 2))) (pow x 4))>
#<alt (/ (+ 24 (* (pow x 2) (- (* 2/75 (pow x 2)) 4/5))) (pow x 4))>
#<alt (/ (+ 24 (* (pow x 2) (- (* (pow x 2) (+ 2/75 (* -1/1125 (pow x 2)))) 4/5))) (pow x 4))>
#<alt (/ 720 (pow x 6))>
#<alt (/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 720 (/ 648000 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 720 (/ 648000 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 19440000 (/ 1 (pow x 6))))) (pow x 6))>
#<alt (/ 720 (pow x 6))>
#<alt (/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 720 (/ 648000 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 720 (/ 648000 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 19440000 (/ 1 (pow x 6))))) (pow x 6))>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt 1/24>
#<alt (+ 1/24 (* 1/720 (pow x 2)))>
#<alt (+ 1/24 (* 1/720 (pow x 2)))>
#<alt (+ 1/24 (* 1/720 (pow x 2)))>
#<alt (* 1/720 (pow x 2))>
#<alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* 1/720 (pow x 2))>
#<alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/360 (pow x 3))>
#<alt (* 1/360 (pow x 3))>
#<alt (* 1/360 (pow x 3))>
#<alt (* 1/360 (pow x 3))>
#<alt (* 1/360 (pow x 3))>
#<alt (* 1/360 (pow x 3))>
#<alt (* 1/360 (pow x 3))>
#<alt (* 1/360 (pow x 3))>
#<alt (* 1/360 (pow x 3))>
#<alt (* 1/360 (pow x 3))>
#<alt (* 1/360 (pow x 3))>
#<alt (* 1/360 (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 (pow x 3)>
#<alt (/ 1/12 (pow x 2))>
#<alt (/ 1/12 (pow x 2))>
#<alt (/ 1/12 (pow x 2))>
#<alt (/ 1/12 (pow x 2))>
#<alt (/ 1/12 (pow x 2))>
#<alt (/ 1/12 (pow x 2))>
#<alt (/ 1/12 (pow x 2))>
#<alt (/ 1/12 (pow x 2))>
#<alt (/ 1/12 (pow x 2))>
#<alt (/ 1/12 (pow x 2))>
#<alt (/ 1/12 (pow x 2))>
#<alt (/ 1/12 (pow x 2))>

Calls

60 calls:

Time	Variable		Point	Expression
34.0ms	x	@	-inf	(* x (* x x))
0.0ms	x	@	inf	(+ (* (* x x) (* (* x (* x x)) 1/360)) x)
0.0ms	x	@	inf	(/ 2 (+ (* x (+ (* (* x x) (* (* x (* x x)) 1/360)) x)) 2))
0.0ms	x	@	-inf	(* x 1/12)
0.0ms	x	@	inf	(/ 1 (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)) 1))

rewrite364.0ms (3.6%)

Memory

9.4MiB live, 843.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 508×	`lower-fma.f32`
5 492×	`lower-fma.f64`
4 166×	`lower-*.f32`
4 150×	`lower-*.f64`
3 652×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	212
0	61	190
1	287	166
2	2192	166
0	8233	158

Stop Event

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

Counts

20 → 532

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 x x)
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) x x) #s(literal 2 binary64)))
(fma.f64 x (fma.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) x x) #s(literal 2 binary64))
(fma.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) x x)
(.f64 x (.f64 x #s(literal 1/12 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) #s(literal 1/360 binary64)) x) #s(literal 2 binary64)))
(fma.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) #s(literal 1/360 binary64)) x) #s(literal 2 binary64))
(fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) #s(literal 1/360 binary64)) x)
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x))))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x)))))
(.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(*.f64 x #s(literal 1/12 binary64))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/360 binary64))
(.f64 x (.f64 x x))
(/.f64 #s(literal 1/12 binary64) (*.f64 x x))

Outputs
(exp.f64 (.f64 (log1p.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(pow.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log1p.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (pow.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) (-.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))))
(+.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))))) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(exp.f64 (neg.f64 (.f64 (log1p.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) (.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))))) (/.f64 (.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))))))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 x (.f64 x (.f64 x x))) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 x (.f64 x x)) (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) x #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) x) x (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) (fma.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) #s(literal -1 binary64))))
(/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
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(/.f64 (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x))))
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (neg.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x)))))
(/.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x)))))
(/.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x))))))
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (.f64 x x))) (neg.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x))))))
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x))))) (neg.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))
(pow.f64 (.f64 (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x))))) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x))))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x))) (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x)))))))
(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x)))))))
(.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x))) (neg.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x)))))) #s(literal 2 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (pow.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x)))) #s(literal 2 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x)))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (pow.f64 (/.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x))) #s(literal 2 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x)))) (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))))
(.f64 (/.f64 (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 1/46656000 binary64) (/.f64 #s(literal 1/1728 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (fma.f64 (/.f64 #s(literal 1/12 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x x)) #s(literal 1/360 binary64)) #s(literal 1/129600 binary64)))
(.f64 (/.f64 (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (-.f64 #s(literal 1/129600 binary64) (/.f64 #s(literal 1/144 binary64) (.f64 x (.f64 x (.f64 x x)))))) (-.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x))))
(.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1/46656000 binary64) (/.f64 #s(literal 1/1728 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/12 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x x)) #s(literal 1/360 binary64)) #s(literal 1/129600 binary64)))))
(.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1/129600 binary64) (/.f64 #s(literal 1/144 binary64) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x))))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 6 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x x))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 3 binary64) (*.f64 (log.f64 x) #s(literal 3 binary64))))
(pow.f64 x #s(literal 6 binary64))
(pow.f64 (*.f64 x x) #s(literal 3 binary64))
(pow.f64 (.f64 x (.f64 x x)) #s(literal 2 binary64))
(.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))
(.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))
(.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 x x))
(.f64 (.f64 x (.f64 x (.f64 x (*.f64 x x)))) x)
(+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))
(+.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/518400 binary64)) (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))))
(-.f64 (/.f64 #s(literal 1/576 binary64) (-.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))) (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/518400 binary64)) (-.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(fma.f64 (*.f64 x #s(literal 1/720 binary64)) x #s(literal 1/24 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/518400 binary64) #s(literal 1/576 binary64)) (.f64 (.f64 x x) #s(literal 1/17280 binary64))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/518400 binary64) #s(literal -1/576 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/518400 binary64) #s(literal 1/576 binary64)) (.f64 (.f64 x x) #s(literal 1/17280 binary64))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64)) (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/518400 binary64) #s(literal 1/576 binary64)) (.f64 (.f64 x x) #s(literal 1/17280 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64)) (+.f64 #s(literal 1/576 binary64) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/518400 binary64)) (.f64 (*.f64 x x) #s(literal 1/17280 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)) (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/518400 binary64) #s(literal 1/576 binary64)) (.f64 (.f64 x x) #s(literal 1/17280 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64))) (neg.f64 (+.f64 #s(literal 1/576 binary64) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/518400 binary64)) (.f64 (*.f64 x x) #s(literal 1/17280 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/518400 binary64) #s(literal -1/576 binary64))) (neg.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))))
(/.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/518400 binary64))) (-.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/518400 binary64)) (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/576 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/518400 binary64) #s(literal 1/576 binary64)) (.f64 (.f64 x x) #s(literal 1/17280 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/518400 binary64)))) (neg.f64 (-.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/518400 binary64)) (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/518400 binary64)) (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/518400 binary64)) (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) (fma.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) (.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/518400 binary64)) (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/518400 binary64) #s(literal 1/576 binary64)) (.f64 (.f64 x x) #s(literal 1/17280 binary64))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/518400 binary64) #s(literal -1/576 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/518400 binary64) #s(literal 1/576 binary64)) (.f64 (*.f64 x x) #s(literal 1/17280 binary64)))))
(.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))))
(*.f64 x #s(literal 1/12 binary64))
(*.f64 #s(literal 1/12 binary64) x)
(.f64 x (.f64 x (*.f64 x #s(literal 1/360 binary64))))
(.f64 (.f64 x x) (*.f64 x #s(literal 1/360 binary64)))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/360 binary64))
(.f64 #s(literal 1/360 binary64) (.f64 x (*.f64 x x)))
(.f64 (.f64 x (*.f64 x #s(literal 1/360 binary64))) x)
(.f64 (.f64 #s(literal 1/360 binary64) x) (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(.f64 x (.f64 x x))
(.f64 (.f64 x x) x)
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x x) #s(literal 12 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1/12 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 12 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) #s(literal 12 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1/12 binary64) x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (.f64 (.f64 x x) #s(literal 12 binary64)))))
(/.f64 #s(literal 1/12 binary64) (*.f64 x x))
(/.f64 #s(literal 1/12 binary64) (neg.f64 (neg.f64 (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 x x) #s(literal 12 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 (.f64 x x) #s(literal 12 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (/.f64 #s(literal 1/12 binary64) x))))
(/.f64 #s(literal -1/12 binary64) (neg.f64 (*.f64 x x)))
(/.f64 #s(literal -1/12 binary64) (neg.f64 (neg.f64 (neg.f64 (*.f64 x x)))))
(/.f64 (/.f64 #s(literal 1/12 binary64) x) x)
(/.f64 (neg.f64 (/.f64 #s(literal 1/12 binary64) x)) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1/12 binary64) x))) (neg.f64 (neg.f64 x)))
(pow.f64 (.f64 (.f64 x x) #s(literal 12 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (.f64 x x) #s(literal 12 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 x (/.f64 #s(literal 1/12 binary64) x)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x)))
(.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 #s(literal -1/12 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 x x))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/12 binary64))
(*.f64 (/.f64 #s(literal 1/12 binary64) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/12 binary64) x))

simplify357.0ms (3.5%)

Memory

8.9MiB live, 762.6MiB allocated

Algorithm

1×	egg-herbie

Rules

13 148×	`lower-fma.f64`
13 148×	`lower-fma.f32`
3 856×	`lower-*.f64`
3 856×	`lower-*.f32`
3 256×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	205	1914
1	560	1882
2	1322	1852
3	3351	1832
4	6268	1832
0	8068	1722

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 238

Calls

Call 1

Inputs
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(/ 720 (pow x 6))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))
(/ 720 (pow x 6))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 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)
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))
(* 1/720 (pow x 4))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* 1/720 (pow x 4))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* -1/2 (pow x 2)))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -1/12 (pow x 2)))) 1/2)))
(/ 24 (pow x 4))
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 24 (/ 2880 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 24 (/ 2880 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 27648 (/ 1 (pow x 6))))) (pow x 4))
(/ 24 (pow x 4))
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 24 (/ 2880 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 24 (/ 2880 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 27648 (/ 1 (pow x 6))))) (pow x 4))
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* 1/12 (pow x 2))))
(* 1/12 (pow x 3))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* 1/12 (pow x 3))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/4 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/4 (* -91/720 (pow x 2)))) 1/2)))
(/ 720 (pow x 6))
(/ (- 720 (* 259200 (/ 1 (pow x 4)))) (pow x 6))
(/ (+ 720 (* -1 (/ (+ 259200 (* 518400 (/ 1 (pow x 2)))) (pow x 4)))) (pow x 6))
(/ (- (+ 720 (* 93312000 (/ 1 (pow x 8)))) (+ (* 259200 (/ 1 (pow x 4))) (/ 518400 (pow x 6)))) (pow x 6))
(/ 720 (pow x 6))
(/ (- 720 (* 259200 (/ 1 (pow x 4)))) (pow x 6))
(/ (+ 720 (* -1 (/ (+ 259200 (* 518400 (/ 1 (pow x 2)))) (pow x 4)))) (pow x 6))
(/ (- (+ 720 (* 93312000 (/ 1 (pow x 8)))) (+ (* 259200 (/ 1 (pow x 4))) (/ 518400 (pow x 6)))) (pow x 6))
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/360 (pow x 4)))))
(+ 2 (* (pow x 2) (+ 1 (* 1/360 (pow x 4)))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (/ 1 (pow x 4))))
(* (pow x 6) (+ 1/360 (+ (/ 1 (pow x 4)) (/ 2 (pow x 6)))))
(* (pow x 6) (+ 1/360 (+ (/ 1 (pow x 4)) (/ 2 (pow x 6)))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (/ 1 (pow x 4))))
(* (pow x 6) (+ 1/360 (+ (/ 1 (pow x 4)) (/ 2 (pow x 6)))))
(* (pow x 6) (+ 1/360 (+ (/ 1 (pow x 4)) (/ 2 (pow x 6)))))
x
(* x (+ 1 (* 1/360 (pow x 4))))
(* x (+ 1 (* 1/360 (pow x 4))))
(* x (+ 1 (* 1/360 (pow x 4))))
(* 1/360 (pow x 5))
(* (pow x 5) (+ 1/360 (/ 1 (pow x 4))))
(* (pow x 5) (+ 1/360 (/ 1 (pow x 4))))
(* (pow x 5) (+ 1/360 (/ 1 (pow x 4))))
(* 1/360 (pow x 5))
(* (pow x 5) (+ 1/360 (/ 1 (pow x 4))))
(* (pow x 5) (+ 1/360 (/ 1 (pow x 4))))
(* (pow x 5) (+ 1/360 (/ 1 (pow x 4))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (* 1/360 (pow x 2))))
(* (pow x 4) (+ 1/12 (* 1/360 (pow x 2))))
(* (pow x 4) (+ 1/12 (* 1/360 (pow x 2))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(/ 24 (pow x 4))
(/ (+ 24 (* -4/5 (pow x 2))) (pow x 4))
(/ (+ 24 (* (pow x 2) (- (* 2/75 (pow x 2)) 4/5))) (pow x 4))
(/ (+ 24 (* (pow x 2) (- (* (pow x 2) (+ 2/75 (* -1/1125 (pow x 2)))) 4/5))) (pow x 4))
(/ 720 (pow x 6))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 648000 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 648000 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 19440000 (/ 1 (pow x 6))))) (pow x 6))
(/ 720 (pow x 6))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 648000 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 648000 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 19440000 (/ 1 (pow x 6))))) (pow x 6))
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
1/24
(+ 1/24 (* 1/720 (pow x 2)))
(+ 1/24 (* 1/720 (pow x 2)))
(+ 1/24 (* 1/720 (pow x 2)))
(* 1/720 (pow x 2))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 2))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/360 (pow x 3))
(* 1/360 (pow x 3))
(* 1/360 (pow x 3))
(* 1/360 (pow x 3))
(* 1/360 (pow x 3))
(* 1/360 (pow x 3))
(* 1/360 (pow x 3))
(* 1/360 (pow x 3))
(* 1/360 (pow x 3))
(* 1/360 (pow x 3))
(* 1/360 (pow x 3))
(* 1/360 (pow x 3))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(/ 1/12 (pow x 2))
(/ 1/12 (pow x 2))
(/ 1/12 (pow x 2))
(/ 1/12 (pow x 2))
(/ 1/12 (pow x 2))
(/ 1/12 (pow x 2))
(/ 1/12 (pow x 2))
(/ 1/12 (pow x 2))
(/ 1/12 (pow x 2))
(/ 1/12 (pow x 2))
(/ 1/12 (pow x 2))
(/ 1/12 (pow x 2))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/ 720 (pow x 6))
(/.f64 #s(literal 720 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/.f64 (+.f64 #s(literal 720 binary64) (+.f64 (/.f64 #s(literal 388800 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -21600 binary64) (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))
(/.f64 (+.f64 #s(literal 720 binary64) (+.f64 (/.f64 #s(literal 388800 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal -21600 binary64) (.f64 x x)) (/.f64 #s(literal -4406400 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))
(/ 720 (pow x 6))
(/.f64 #s(literal 720 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/.f64 (+.f64 #s(literal 720 binary64) (+.f64 (/.f64 #s(literal 388800 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -21600 binary64) (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))
(/.f64 (+.f64 #s(literal 720 binary64) (+.f64 (/.f64 #s(literal 388800 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal -21600 binary64) (.f64 x x)) (/.f64 #s(literal -4406400 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/720 (pow x 6))
(.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64)))))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (*.f64 x x))))) #s(literal 1 binary64))
(* 1/720 (pow x 6))
(.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64)))))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) (.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)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/24 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(* 1/720 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64))))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(* 1/720 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64))))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(* -1/2 (pow x 2))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(* -1/2 (pow x 2))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -1/12 (pow x 2)))) 1/2)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/12 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/ 24 (pow x 4))
(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))
(/ (- (+ 24 (/ 2880 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/.f64 (+.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (.f64 x x))) (/.f64 #s(literal 2880 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (*.f64 x x))))
(/ (- (+ 24 (/ 2880 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 27648 (/ 1 (pow x 6))))) (pow x 4))
(/.f64 (+.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 2880 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -27648 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (.f64 x (.f64 x (.f64 x x))))
(/ 24 (pow x 4))
(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))
(/ (- (+ 24 (/ 2880 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/.f64 (+.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (.f64 x x))) (/.f64 #s(literal 2880 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (*.f64 x x))))
(/ (- (+ 24 (/ 2880 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 27648 (/ 1 (pow x 6))))) (pow x 4))
(/.f64 (+.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 2880 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -27648 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (.f64 x (.f64 x (.f64 x x))))
2
#s(literal 2 binary64)
(+ 2 (pow x 2))
(fma.f64 x x #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
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(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(/ 1/12 (pow x 2))
(/.f64 #s(literal 1/12 binary64) (*.f64 x x))
(/ 1/12 (pow x 2))
(/.f64 #s(literal 1/12 binary64) (*.f64 x x))
(/ 1/12 (pow x 2))
(/.f64 #s(literal 1/12 binary64) (*.f64 x x))
(/ 1/12 (pow x 2))
(/.f64 #s(literal 1/12 binary64) (*.f64 x x))
(/ 1/12 (pow x 2))
(/.f64 #s(literal 1/12 binary64) (*.f64 x x))
(/ 1/12 (pow x 2))
(/.f64 #s(literal 1/12 binary64) (*.f64 x x))
(/ 1/12 (pow x 2))
(/.f64 #s(literal 1/12 binary64) (*.f64 x x))
(/ 1/12 (pow x 2))
(/.f64 #s(literal 1/12 binary64) (*.f64 x x))
(/ 1/12 (pow x 2))
(/.f64 #s(literal 1/12 binary64) (*.f64 x x))
(/ 1/12 (pow x 2))
(/.f64 #s(literal 1/12 binary64) (*.f64 x x))
(/ 1/12 (pow x 2))
(/.f64 #s(literal 1/12 binary64) (*.f64 x x))
(/ 1/12 (pow x 2))
(/.f64 #s(literal 1/12 binary64) (*.f64 x x))

eval111.0ms (1.1%)

Memory: 19.6MiB live, 168.1MiB allocated
Compiler: Compiled 27 332 to 2 193 computations (92% saved)

prune118.0ms (1.2%)

Memory

2.4MiB live, 203.1MiB allocated

Pruning

37 alts after pruning (32 fresh and 5 done)

	Pruned	Kept	Total
New	917	17	934
Fresh	6	15	21
Picked	3	2	5
Done	1	3	4
Total	927	37	964

Accuracy

100.0%

Counts

964 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.6%	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
	49.6%	(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓	49.6%	(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
	13.0%	(/.f64 (fma.f64 x (.f64 x #s(literal -4/5 binary64)) #s(literal 24 binary64)) (.f64 x (.f64 x (.f64 x x))))
▶	43.3%	(/.f64 (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x))))
	42.6%	(/.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))
	36.8%	(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))
	49.6%	(/.f64 (.f64 #s(literal 4 binary64) (sinh.f64 x)) (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))
	44.0%	(/.f64 #s(literal 720 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
	38.2%	(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (*.f64 x x))))
	91.1%	(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x) x #s(literal 2 binary64)))
	85.1%	(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64) x) x #s(literal 2 binary64)))
	44.1%	(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) #s(literal 1/360 binary64))) x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (*.f64 x x))))))
	44.1%	(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 #s(literal 1/360 binary64) x) (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (*.f64 x x))))))
▶	91.1%	(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (fma.f64 x x #s(literal 2 binary64))))
	66.8%	(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64) #s(literal -1/144 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64))) x) #s(literal 2 binary64)))
✓	85.1%	(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) x x) #s(literal 2 binary64)))
	90.9%	(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/360 binary64)) x) #s(literal 2 binary64)))
▶	90.9%	(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x #s(literal 1/360 binary64))) (.f64 x x)) x) #s(literal 2 binary64)))
✓	74.9%	(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
	43.3%	(/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) x) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x)))))
	44.0%	(/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/360 binary64)))
	44.1%	(/.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))
	38.5%	(/.f64 #s(literal 2 binary64) (.f64 x (fma.f64 (.f64 x x) (*.f64 x #s(literal 1/12 binary64)) x)))
	38.5%	(/.f64 #s(literal 2 binary64) (.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)))
	44.0%	(/.f64 #s(literal 2 binary64) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/360 binary64))))
	38.2%	(/.f64 #s(literal 2 binary64) (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x)))))
▶	28.3%	(/.f64 #s(literal 2 binary64) (*.f64 x x))
	66.1%	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
	85.1%	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
	56.6%	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64)) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
	90.8%	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1 binary64)))
	44.0%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64))))))
✓	100.0%	(/.f64 #s(literal 1 binary64) (cosh.f64 x))
	49.6%	(.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))))
	56.5%	(.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64) x) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64) x)) #s(literal -4 binary64))) (fma.f64 x (fma.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64) x) #s(literal -2 binary64)))
✓	50.1%	#s(literal 1 binary64)

Compiler

Compiled 1 237 to 675 computations (45.4% saved)

simplify372.0ms (3.7%)

Memory

-23.7MiB live, 478.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
✓	cost-diff	1536	(/.f64 (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x))))
✓	cost-diff	0	(.f64 (.f64 x (.f64 x #s(literal 1/360 binary64))) (.f64 x x))
✓	cost-diff	0	(fma.f64 x (.f64 (.f64 x (.f64 x #s(literal 1/360 binary64))) (.f64 x x)) x)
✓	cost-diff	0	(fma.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x #s(literal 1/360 binary64))) (.f64 x x)) x) #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x #s(literal 1/360 binary64))) (.f64 x x)) x) #s(literal 2 binary64)))
✓	cost-diff	0	(fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))
✓	cost-diff	0	(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64)) #s(literal -1/2 binary64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (*.f64 x x))
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(.f64 x (.f64 x (*.f64 x x)))
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (fma.f64 x x #s(literal 2 binary64))))
✓	cost-diff	320	(fma.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (fma.f64 x x #s(literal 2 binary64)))

Rules

13 860×	`lower-fma.f32`
13 844×	`lower-fma.f64`
5 196×	`lower-*.f32`
5 180×	`lower-*.f64`
2 312×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	264
0	61	240
1	140	202
2	366	201
3	700	201
4	978	201
5	1246	201
6	1864	200
7	2629	200
8	3620	200
9	4429	200
10	5029	200
11	5791	200
12	7341	200
0	8019	197

Stop Event

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

Calls

Call 1

Inputs
(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (fma.f64 x x #s(literal 2 binary64))))
#s(literal 2 binary64)
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (fma.f64 x x #s(literal 2 binary64)))
(.f64 x (.f64 x (*.f64 x x)))
x
(.f64 x (.f64 x x))
(*.f64 x x)
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
#s(literal 1/360 binary64)
#s(literal 1/12 binary64)
(fma.f64 x x #s(literal 2 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
#s(literal 2 binary64)
(*.f64 x x)
x
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 x x)
x
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64)) #s(literal -1/2 binary64))
(fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))
(*.f64 x #s(literal -61/720 binary64))
#s(literal -61/720 binary64)
#s(literal 5/24 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x #s(literal 1/360 binary64))) (.f64 x x)) x) #s(literal 2 binary64)))
#s(literal 2 binary64)
(fma.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x #s(literal 1/360 binary64))) (.f64 x x)) x) #s(literal 2 binary64))
x
(fma.f64 x (.f64 (.f64 x (.f64 x #s(literal 1/360 binary64))) (.f64 x x)) x)
(.f64 (.f64 x (.f64 x #s(literal 1/360 binary64))) (.f64 x x))
(.f64 x (.f64 x #s(literal 1/360 binary64)))
(*.f64 x #s(literal 1/360 binary64))
#s(literal 1/360 binary64)
(*.f64 x x)
(/.f64 (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x))))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
#s(literal 2 binary64)
(.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))
(*.f64 x x)
x
(.f64 x (.f64 x (*.f64 x x)))
(.f64 x (.f64 x x))
(+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x)))
#s(literal 1/360 binary64)
(/.f64 #s(literal 1/12 binary64) (*.f64 x x))
#s(literal 1/12 binary64)

Outputs
(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (fma.f64 x x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x) #s(literal 2 binary64)))
#s(literal 2 binary64)
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (fma.f64 x x #s(literal 2 binary64)))
(fma.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))
(.f64 x (.f64 x (*.f64 x x)))
x
(.f64 x (.f64 x x))
(*.f64 x x)
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
#s(literal 1/360 binary64)
#s(literal 1/12 binary64)
(fma.f64 x x #s(literal 2 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
#s(literal 2 binary64)
(*.f64 x x)
x
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 x x)
x
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64)) #s(literal -1/2 binary64))
(fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))
(*.f64 x #s(literal -61/720 binary64))
#s(literal -61/720 binary64)
#s(literal 5/24 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x #s(literal 1/360 binary64))) (.f64 x x)) x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/360 binary64)))) x) #s(literal 2 binary64)))
#s(literal 2 binary64)
(fma.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x #s(literal 1/360 binary64))) (.f64 x x)) x) #s(literal 2 binary64))
(fma.f64 x (fma.f64 x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/360 binary64)))) x) #s(literal 2 binary64))
x
(fma.f64 x (.f64 (.f64 x (.f64 x #s(literal 1/360 binary64))) (.f64 x x)) x)
(fma.f64 x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/360 binary64)))) x)
(.f64 (.f64 x (.f64 x #s(literal 1/360 binary64))) (.f64 x x))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/360 binary64))))
(.f64 x (.f64 x #s(literal 1/360 binary64)))
(.f64 (.f64 x x) #s(literal 1/360 binary64))
(*.f64 x #s(literal 1/360 binary64))
#s(literal 1/360 binary64)
(*.f64 x x)
(/.f64 (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x))))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
#s(literal 2 binary64)
(.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))
(*.f64 x x)
x
(.f64 x (.f64 x (*.f64 x x)))
(.f64 x (.f64 x x))
(+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x)))
#s(literal 1/360 binary64)
(/.f64 #s(literal 1/12 binary64) (*.f64 x x))
#s(literal 1/12 binary64)

localize132.0ms (1.3%)

Memory

2.2MiB live, 156.6MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.5%	(/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
✓	accuracy	99.1%	(/.f64 #s(literal 1/12 binary64) (*.f64 x x))
✓	accuracy	76.2%	(/.f64 (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x))))
✓	accuracy	99.8%	(.f64 (.f64 x (.f64 x #s(literal 1/360 binary64))) (.f64 x x))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 1/360 binary64)))
✓	accuracy	99.6%	(*.f64 x #s(literal 1/360 binary64))
✓	accuracy	99.5%	(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x #s(literal 1/360 binary64))) (.f64 x x)) x) #s(literal 2 binary64)))
✓	accuracy	99.9%	(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64)) #s(literal -1/2 binary64))
✓	accuracy	99.9%	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓	accuracy	99.9%	(fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))
✓	accuracy	99.6%	(*.f64 x #s(literal -61/720 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.1%	(/.f64 #s(literal 2 binary64) (*.f64 x x))
✓	accuracy	99.9%	(.f64 x (.f64 x (*.f64 x x)))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.8%	(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
✓	accuracy	99.4%	(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (fma.f64 x x #s(literal 2 binary64))))

Samples

80.0ms	255×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 285 to 40 computations (86% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-add: 21.0ms (33.5% of total)

ival-mult: 20.0ms (31.9% of total)

const: 11.0ms (17.5% of total)

ival-div: 9.0ms (14.3% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory

21.1MiB live, 21.1MiB allocated

Counts

21 → 252

Calls

Call 1

Inputs
#<alt (fma.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (fma.f64 x x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (fma.f64 x x #s(literal 2 binary64))))>
#<alt (.f64 x (.f64 x (*.f64 x x)))>
#<alt (.f64 x (.f64 x x))>
#<alt (/.f64 #s(literal 2 binary64) (*.f64 x x))>
#<alt (*.f64 x x)>
#<alt (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))>
#<alt (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64)) #s(literal -1/2 binary64))>
#<alt (fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))>
#<alt (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x #s(literal 1/360 binary64))) (.f64 x x)) x) #s(literal 2 binary64)))>
#<alt (fma.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x #s(literal 1/360 binary64))) (.f64 x x)) x) #s(literal 2 binary64))>
#<alt (fma.f64 x (.f64 (.f64 x (.f64 x #s(literal 1/360 binary64))) (.f64 x x)) x)>
#<alt (.f64 (.f64 x (.f64 x #s(literal 1/360 binary64))) (.f64 x x))>
#<alt (/.f64 (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x))))>
#<alt (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))>
#<alt (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))>
#<alt (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))>
#<alt (*.f64 x #s(literal -61/720 binary64))>
#<alt (*.f64 x #s(literal 1/360 binary64))>
#<alt (.f64 x (.f64 x #s(literal 1/360 binary64)))>
#<alt (/.f64 #s(literal 1/12 binary64) (*.f64 x x))>

Outputs
#<alt 2>
#<alt (+ 2 (pow x 2))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))>
#<alt (/ 720 (pow x 6))>
#<alt (/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))>
#<alt (/ 720 (pow x 6))>
#<alt (/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))>
#<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 (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 (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (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>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))>
#<alt (* -61/720 (pow x 6))>
#<alt (* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) 61/720))>
#<alt (* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 5/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 61/720 (/ 1/2 (pow x 4)))))>
#<alt (* -61/720 (pow x 6))>
#<alt (* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) 61/720))>
#<alt (* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 5/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 61/720 (/ 1/2 (pow x 4)))))>
#<alt -1/2>
#<alt (- (* 5/24 (pow x 2)) 1/2)>
#<alt (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)>
#<alt (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)>
#<alt (* -61/720 (pow x 4))>
#<alt (* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 61/720))>
#<alt (* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))>
#<alt (* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))>
#<alt (* -61/720 (pow x 4))>
#<alt (* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 61/720))>
#<alt (* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))>
#<alt (* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))>
#<alt 5/24>
#<alt (+ 5/24 (* -61/720 (pow x 2)))>
#<alt (+ 5/24 (* -61/720 (pow x 2)))>
#<alt (+ 5/24 (* -61/720 (pow x 2)))>
#<alt (* -61/720 (pow x 2))>
#<alt (* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720))>
#<alt (* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720))>
#<alt (* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720))>
#<alt (* -61/720 (pow x 2))>
#<alt (* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720))>
#<alt (* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720))>
#<alt (* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/4 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/4 (* -91/720 (pow x 2)))) 1/2)))>
#<alt (/ 720 (pow x 6))>
#<alt (/ (- 720 (* 259200 (/ 1 (pow x 4)))) (pow x 6))>
#<alt (/ (+ 720 (* -1 (/ (+ 259200 (* 518400 (/ 1 (pow x 2)))) (pow x 4)))) (pow x 6))>
#<alt (/ (- (+ 720 (* 93312000 (/ 1 (pow x 8)))) (+ (* 259200 (/ 1 (pow x 4))) (/ 518400 (pow x 6)))) (pow x 6))>
#<alt (/ 720 (pow x 6))>
#<alt (/ (- 720 (* 259200 (/ 1 (pow x 4)))) (pow x 6))>
#<alt (/ (+ 720 (* -1 (/ (+ 259200 (* 518400 (/ 1 (pow x 2)))) (pow x 4)))) (pow x 6))>
#<alt (/ (- (+ 720 (* 93312000 (/ 1 (pow x 8)))) (+ (* 259200 (/ 1 (pow x 4))) (/ 518400 (pow x 6)))) (pow x 6))>
#<alt 2>
#<alt (+ 2 (pow x 2))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* 1/360 (pow x 4)))))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* 1/360 (pow x 4)))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (/ 1 (pow x 4))))>
#<alt (* (pow x 6) (+ 1/360 (+ (/ 1 (pow x 4)) (/ 2 (pow x 6)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (/ 1 (pow x 4)) (/ 2 (pow x 6)))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (/ 1 (pow x 4))))>
#<alt (* (pow x 6) (+ 1/360 (+ (/ 1 (pow x 4)) (/ 2 (pow x 6)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (/ 1 (pow x 4)) (/ 2 (pow x 6)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/360 (pow x 4))))>
#<alt (* x (+ 1 (* 1/360 (pow x 4))))>
#<alt (* x (+ 1 (* 1/360 (pow x 4))))>
#<alt (* 1/360 (pow x 5))>
#<alt (* (pow x 5) (+ 1/360 (/ 1 (pow x 4))))>
#<alt (* (pow x 5) (+ 1/360 (/ 1 (pow x 4))))>
#<alt (* (pow x 5) (+ 1/360 (/ 1 (pow x 4))))>
#<alt (* 1/360 (pow x 5))>
#<alt (* (pow x 5) (+ 1/360 (/ 1 (pow x 4))))>
#<alt (* (pow x 5) (+ 1/360 (/ 1 (pow x 4))))>
#<alt (* (pow x 5) (+ 1/360 (/ 1 (pow x 4))))>
#<alt (* 1/360 (pow x 4))>
#<alt (* 1/360 (pow x 4))>
#<alt (* 1/360 (pow x 4))>
#<alt (* 1/360 (pow x 4))>
#<alt (* 1/360 (pow x 4))>
#<alt (* 1/360 (pow x 4))>
#<alt (* 1/360 (pow x 4))>
#<alt (* 1/360 (pow x 4))>
#<alt (* 1/360 (pow x 4))>
#<alt (* 1/360 (pow x 4))>
#<alt (* 1/360 (pow x 4))>
#<alt (* 1/360 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ (+ 24 (* -4/5 (pow x 2))) (pow x 4))>
#<alt (/ (+ 24 (* (pow x 2) (- (* 2/75 (pow x 2)) 4/5))) (pow x 4))>
#<alt (/ (+ 24 (* (pow x 2) (- (* (pow x 2) (+ 2/75 (* -1/1125 (pow x 2)))) 4/5))) (pow x 4))>
#<alt (/ 720 (pow x 6))>
#<alt (/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 720 (/ 648000 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 720 (/ 648000 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 19440000 (/ 1 (pow x 6))))) (pow x 6))>
#<alt (/ 720 (pow x 6))>
#<alt (/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 720 (/ 648000 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 720 (/ 648000 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 19440000 (/ 1 (pow x 6))))) (pow x 6))>
#<alt (/ 2 (pow x 6))>
#<alt (/ 2 (pow x 6))>
#<alt (/ 2 (pow x 6))>
#<alt (/ 2 (pow x 6))>
#<alt (/ 2 (pow x 6))>
#<alt (/ 2 (pow x 6))>
#<alt (/ 2 (pow x 6))>
#<alt (/ 2 (pow x 6))>
#<alt (/ 2 (pow x 6))>
#<alt (/ 2 (pow x 6))>
#<alt (/ 2 (pow x 6))>
#<alt (/ 2 (pow x 6))>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt 1/12>
#<alt (+ 1/12 (* 1/360 (pow x 2)))>
#<alt (+ 1/12 (* 1/360 (pow x 2)))>
#<alt (+ 1/12 (* 1/360 (pow x 2)))>
#<alt (* 1/360 (pow x 2))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* 1/360 (pow x 2))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* -61/720 x)>
#<alt (* -61/720 x)>
#<alt (* -61/720 x)>
#<alt (* -61/720 x)>
#<alt (* -61/720 x)>
#<alt (* -61/720 x)>
#<alt (* -61/720 x)>
#<alt (* -61/720 x)>
#<alt (* -61/720 x)>
#<alt (* -61/720 x)>
#<alt (* -61/720 x)>
#<alt (* -61/720 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (/ 1/12 (pow x 2))>
#<alt (/ 1/12 (pow x 2))>
#<alt (/ 1/12 (pow x 2))>
#<alt (/ 1/12 (pow x 2))>
#<alt (/ 1/12 (pow x 2))>
#<alt (/ 1/12 (pow x 2))>
#<alt (/ 1/12 (pow x 2))>
#<alt (/ 1/12 (pow x 2))>
#<alt (/ 1/12 (pow x 2))>
#<alt (/ 1/12 (pow x 2))>
#<alt (/ 1/12 (pow x 2))>
#<alt (/ 1/12 (pow x 2))>

Calls

63 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(+ (* (* x x) (+ (* (* x x) (+ (* x (* x -61/720)) 5/24)) -1/2)) 1)
0.0ms	x	@	0	(+ (* (* x x) (+ (* (* x x) (+ (* x (* x -61/720)) 5/24)) -1/2)) 1)
0.0ms	x	@	inf	(* x -61/720)
0.0ms	x	@	0	(/ 2 (* x x))
0.0ms	x	@	0	(* x (* x (* x x)))

rewrite362.0ms (3.6%)

Memory

11.6MiB live, 560.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 210×	`lower-fma.f32`
5 194×	`lower-fma.f64`
4 672×	`lower-*.f32`
4 656×	`lower-*.f64`
4 374×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	211
0	61	191
1	295	155
2	2282	155
0	8782	152

Stop Event

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

Counts

21 → 675

Calls

Call 1

Inputs
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (fma.f64 x x #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (fma.f64 x x #s(literal 2 binary64))))
(.f64 x (.f64 x (*.f64 x x)))
(.f64 x (.f64 x x))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(*.f64 x x)
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64)) #s(literal -1/2 binary64))
(fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x #s(literal 1/360 binary64))) (.f64 x x)) x) #s(literal 2 binary64)))
(fma.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x #s(literal 1/360 binary64))) (.f64 x x)) x) #s(literal 2 binary64))
(fma.f64 x (.f64 (.f64 x (.f64 x #s(literal 1/360 binary64))) (.f64 x x)) x)
(.f64 (.f64 x (.f64 x #s(literal 1/360 binary64))) (.f64 x x))
(/.f64 (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x))))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(*.f64 x #s(literal -61/720 binary64))
(*.f64 x #s(literal 1/360 binary64))
(.f64 x (.f64 x #s(literal 1/360 binary64)))
(/.f64 #s(literal 1/12 binary64) (*.f64 x x))

Outputs
(+.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))
(+.f64 #s(literal 2 binary64) (.f64 x (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) x)))
(+.f64 (fma.f64 x x #s(literal 2 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))
(+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (fma.f64 x x #s(literal 2 binary64)))
(+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/360 binary64)))))) (fma.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64)) (fma.f64 x x #s(literal 2 binary64))))
(+.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) x)) #s(literal 2 binary64))
(+.f64 (+.f64 (fma.f64 x x #s(literal 2 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/360 binary64))))))) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64))))
(+.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (*.f64 x x))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (fma.f64 x x #s(literal 2 binary64)))) (/.f64 (.f64 (fma.f64 x x #s(literal 2 binary64)) (fma.f64 x x #s(literal 2 binary64))) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (fma.f64 x x #s(literal 2 binary64)))))
(-.f64 (/.f64 (.f64 (fma.f64 x x #s(literal 2 binary64)) (fma.f64 x x #s(literal 2 binary64))) (-.f64 (fma.f64 x x #s(literal 2 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))) (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))) (-.f64 (fma.f64 x x #s(literal 2 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))))
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(.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (pow.f64 (/.f64 (.f64 x (*.f64 x x)) #s(literal 2 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 x x))) (.f64 x (.f64 x x))))
(.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)))
(.f64 (/.f64 #s(literal -2 binary64) (.f64 x (.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 x x))) x))
(.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 6 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x x))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 3 binary64) (*.f64 (log.f64 x) #s(literal 3 binary64))))
(pow.f64 x #s(literal 6 binary64))
(pow.f64 (*.f64 x x) #s(literal 3 binary64))
(pow.f64 (.f64 x (.f64 x x)) #s(literal 2 binary64))
(pow.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 3/2 binary64))
(.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))
(.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))
(.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 x x))
(.f64 (.f64 x (.f64 x (.f64 x (*.f64 x x)))) x)
(+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))
(+.f64 (.f64 x (.f64 x #s(literal 1/360 binary64))) #s(literal 1/12 binary64))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64)) (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))) (/.f64 #s(literal 1/144 binary64) (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))))
(-.f64 (/.f64 #s(literal 1/144 binary64) (-.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))) (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64)) (-.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(fma.f64 (*.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64) #s(literal 1/144 binary64)) (.f64 (.f64 x x) #s(literal 1/4320 binary64))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/46656000 binary64)) #s(literal 1/1728 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64)) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64) #s(literal -1/144 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/46656000 binary64)) #s(literal 1/1728 binary64)) (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64) #s(literal 1/144 binary64)) (.f64 (.f64 x x) #s(literal 1/4320 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/46656000 binary64)) #s(literal 1/1728 binary64)) (+.f64 #s(literal 1/144 binary64) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64)) (.f64 (*.f64 x x) #s(literal 1/4320 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)) (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64) #s(literal 1/144 binary64)) (.f64 (.f64 x x) #s(literal 1/4320 binary64))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/46656000 binary64)) #s(literal 1/1728 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64)) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/46656000 binary64)) #s(literal 1/1728 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64) #s(literal 1/144 binary64)) (.f64 (.f64 x x) #s(literal 1/4320 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/46656000 binary64)) #s(literal 1/1728 binary64))) (neg.f64 (+.f64 #s(literal 1/144 binary64) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64)) (.f64 (*.f64 x x) #s(literal 1/4320 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64) #s(literal -1/144 binary64))) (neg.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))))
(/.f64 (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64))) (-.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64)) (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64)) #s(literal 1/144 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64)) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/46656000 binary64)) #s(literal 1/1728 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64) #s(literal 1/144 binary64)) (.f64 (.f64 x x) #s(literal 1/4320 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64)))) (neg.f64 (-.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64) #s(literal 1/144 binary64)) (.f64 (.f64 x x) #s(literal 1/4320 binary64))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/46656000 binary64)) #s(literal 1/1728 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64)) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64) #s(literal -1/144 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/46656000 binary64)) #s(literal 1/1728 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64) #s(literal 1/144 binary64)) (.f64 (*.f64 x x) #s(literal 1/4320 binary64)))))
(.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))))
(*.f64 x #s(literal -61/720 binary64))
(*.f64 #s(literal -61/720 binary64) x)
(*.f64 x #s(literal 1/360 binary64))
(*.f64 #s(literal 1/360 binary64) x)
(.f64 x (.f64 x #s(literal 1/360 binary64)))
(.f64 (.f64 x x) #s(literal 1/360 binary64))
(.f64 #s(literal 1/360 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/360 binary64)) x)
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x x) #s(literal 12 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1/12 binary64) (*.f64 x x)))
(/.f64 #s(literal 1/12 binary64) (*.f64 x x))
(/.f64 #s(literal 1/12 binary64) (neg.f64 (neg.f64 (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 12 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) #s(literal 12 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1/12 binary64) x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (.f64 (.f64 x x) #s(literal 12 binary64)))))
(/.f64 #s(literal -1/12 binary64) (neg.f64 (*.f64 x x)))
(/.f64 #s(literal -1/12 binary64) (neg.f64 (neg.f64 (neg.f64 (*.f64 x x)))))
(/.f64 (/.f64 #s(literal 1/12 binary64) x) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 x x) #s(literal 12 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 (.f64 x x) #s(literal 12 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (/.f64 #s(literal 1/12 binary64) x))))
(/.f64 (neg.f64 (/.f64 #s(literal 1/12 binary64) x)) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1/12 binary64) x))) (neg.f64 (neg.f64 x)))
(pow.f64 (.f64 (.f64 x x) #s(literal 12 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (.f64 x x) #s(literal 12 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 x (/.f64 #s(literal 1/12 binary64) x)) #s(literal -1 binary64))
(.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x)))
(.f64 #s(literal -1/12 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 x x))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/12 binary64))
(*.f64 (/.f64 #s(literal 1/12 binary64) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/12 binary64) x))

simplify334.0ms (3.3%)

Memory

-18.5MiB live, 547.1MiB allocated

Algorithm

1×	egg-herbie

Rules

12 824×	`lower-fma.f64`
12 824×	`lower-fma.f32`
3 502×	`lower-*.f64`
3 502×	`lower-*.f32`
3 318×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	171	1798
1	438	1796
2	1021	1770
3	2649	1738
4	5226	1738
0	8270	1653

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 251

Calls

Call 1

Inputs
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(/ 720 (pow x 6))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))
(/ 720 (pow x 6))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 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)
(pow x 2)
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(* -61/720 (pow x 6))
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))
(* (pow x 6) (- (+ (* 5/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 61/720 (/ 1/2 (pow x 4)))))
(* -61/720 (pow x 6))
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))
(* (pow x 6) (- (+ (* 5/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 61/720 (/ 1/2 (pow x 4)))))
-1/2
(- (* 5/24 (pow x 2)) 1/2)
(- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)
(- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)
(* -61/720 (pow x 4))
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))
(* -61/720 (pow x 4))
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))
5/24
(+ 5/24 (* -61/720 (pow x 2)))
(+ 5/24 (* -61/720 (pow x 2)))
(+ 5/24 (* -61/720 (pow x 2)))
(* -61/720 (pow x 2))
(* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(* -61/720 (pow x 2))
(* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/4 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/4 (* -91/720 (pow x 2)))) 1/2)))
(/ 720 (pow x 6))
(/ (- 720 (* 259200 (/ 1 (pow x 4)))) (pow x 6))
(/ (+ 720 (* -1 (/ (+ 259200 (* 518400 (/ 1 (pow x 2)))) (pow x 4)))) (pow x 6))
(/ (- (+ 720 (* 93312000 (/ 1 (pow x 8)))) (+ (* 259200 (/ 1 (pow x 4))) (/ 518400 (pow x 6)))) (pow x 6))
(/ 720 (pow x 6))
(/ (- 720 (* 259200 (/ 1 (pow x 4)))) (pow x 6))
(/ (+ 720 (* -1 (/ (+ 259200 (* 518400 (/ 1 (pow x 2)))) (pow x 4)))) (pow x 6))
(/ (- (+ 720 (* 93312000 (/ 1 (pow x 8)))) (+ (* 259200 (/ 1 (pow x 4))) (/ 518400 (pow x 6)))) (pow x 6))
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/360 (pow x 4)))))
(+ 2 (* (pow x 2) (+ 1 (* 1/360 (pow x 4)))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (/ 1 (pow x 4))))
(* (pow x 6) (+ 1/360 (+ (/ 1 (pow x 4)) (/ 2 (pow x 6)))))
(* (pow x 6) (+ 1/360 (+ (/ 1 (pow x 4)) (/ 2 (pow x 6)))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (/ 1 (pow x 4))))
(* (pow x 6) (+ 1/360 (+ (/ 1 (pow x 4)) (/ 2 (pow x 6)))))
(* (pow x 6) (+ 1/360 (+ (/ 1 (pow x 4)) (/ 2 (pow x 6)))))
x
(* x (+ 1 (* 1/360 (pow x 4))))
(* x (+ 1 (* 1/360 (pow x 4))))
(* x (+ 1 (* 1/360 (pow x 4))))
(* 1/360 (pow x 5))
(* (pow x 5) (+ 1/360 (/ 1 (pow x 4))))
(* (pow x 5) (+ 1/360 (/ 1 (pow x 4))))
(* (pow x 5) (+ 1/360 (/ 1 (pow x 4))))
(* 1/360 (pow x 5))
(* (pow x 5) (+ 1/360 (/ 1 (pow x 4))))
(* (pow x 5) (+ 1/360 (/ 1 (pow x 4))))
(* (pow x 5) (+ 1/360 (/ 1 (pow x 4))))
(* 1/360 (pow x 4))
(* 1/360 (pow x 4))
(* 1/360 (pow x 4))
(* 1/360 (pow x 4))
(* 1/360 (pow x 4))
(* 1/360 (pow x 4))
(* 1/360 (pow x 4))
(* 1/360 (pow x 4))
(* 1/360 (pow x 4))
(* 1/360 (pow x 4))
(* 1/360 (pow x 4))
(* 1/360 (pow x 4))
(/ 24 (pow x 4))
(/ (+ 24 (* -4/5 (pow x 2))) (pow x 4))
(/ (+ 24 (* (pow x 2) (- (* 2/75 (pow x 2)) 4/5))) (pow x 4))
(/ (+ 24 (* (pow x 2) (- (* (pow x 2) (+ 2/75 (* -1/1125 (pow x 2)))) 4/5))) (pow x 4))
(/ 720 (pow x 6))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 648000 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 648000 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 19440000 (/ 1 (pow x 6))))) (pow x 6))
(/ 720 (pow x 6))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 648000 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 648000 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 19440000 (/ 1 (pow x 6))))) (pow x 6))
(/ 2 (pow x 6))
(/ 2 (pow x 6))
(/ 2 (pow x 6))
(/ 2 (pow x 6))
(/ 2 (pow x 6))
(/ 2 (pow x 6))
(/ 2 (pow x 6))
(/ 2 (pow x 6))
(/ 2 (pow x 6))
(/ 2 (pow x 6))
(/ 2 (pow x 6))
(/ 2 (pow x 6))
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
1/12
(+ 1/12 (* 1/360 (pow x 2)))
(+ 1/12 (* 1/360 (pow x 2)))
(+ 1/12 (* 1/360 (pow x 2)))
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* -61/720 x)
(* -61/720 x)
(* -61/720 x)
(* -61/720 x)
(* -61/720 x)
(* -61/720 x)
(* -61/720 x)
(* -61/720 x)
(* -61/720 x)
(* -61/720 x)
(* -61/720 x)
(* -61/720 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(/ 1/12 (pow x 2))
(/ 1/12 (pow x 2))
(/ 1/12 (pow x 2))
(/ 1/12 (pow x 2))
(/ 1/12 (pow x 2))
(/ 1/12 (pow x 2))
(/ 1/12 (pow x 2))
(/ 1/12 (pow x 2))
(/ 1/12 (pow x 2))
(/ 1/12 (pow x 2))
(/ 1/12 (pow x 2))
(/ 1/12 (pow x 2))

Outputs
2
#s(literal 2 binary64)
(+ 2 (pow x 2))
(fma.f64 x x #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(fma.f64 x (fma.f64 x (.f64 x (.f64 x #s(literal 1/12 binary64))) x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(* 1/360 (pow x 6))
(.f64 #s(literal 1/360 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x))) (/.f64 (.f64 x (.f64 x x)) x))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))
(+.f64 (/.f64 (.f64 x (.f64 x x)) x) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x))) #s(literal 2 binary64)))
(* 1/360 (pow x 6))
(.f64 #s(literal 1/360 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x))) (/.f64 (.f64 x (.f64 x x)) x))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))
(+.f64 (/.f64 (.f64 x (.f64 x x)) x) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x))) #s(literal 2 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/ 720 (pow x 6))
(/.f64 #s(literal 720 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/.f64 (+.f64 #s(literal 720 binary64) (+.f64 (/.f64 #s(literal 388800 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -21600 binary64) (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))
(/.f64 (+.f64 (/.f64 #s(literal 388800 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (.f64 x x))) (/.f64 #s(literal -4406400 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))
(/ 720 (pow x 6))
(/.f64 #s(literal 720 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/.f64 (+.f64 #s(literal 720 binary64) (+.f64 (/.f64 #s(literal 388800 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -21600 binary64) (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))
(/.f64 (+.f64 (/.f64 #s(literal 388800 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (.f64 x x))) (/.f64 #s(literal -4406400 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.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)
(pow x 2)
(*.f64 x x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(* -61/720 (pow x 6))
(.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -61/720 binary64))
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (+.f64 #s(literal -61/720 binary64) (/.f64 #s(literal 5/24 binary64) (*.f64 x x))))
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))
(.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (+.f64 (+.f64 #s(literal -61/720 binary64) (/.f64 #s(literal 5/24 binary64) (.f64 x x))) (/.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* (pow x 6) (- (+ (* 5/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 61/720 (/ 1/2 (pow x 4)))))
(fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (+.f64 (+.f64 #s(literal -61/720 binary64) (/.f64 #s(literal 5/24 binary64) (.f64 x x))) (/.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (*.f64 x x))))) #s(literal 1 binary64))
(* -61/720 (pow x 6))
(.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -61/720 binary64))
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (+.f64 #s(literal -61/720 binary64) (/.f64 #s(literal 5/24 binary64) (*.f64 x x))))
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))
(.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (+.f64 (+.f64 #s(literal -61/720 binary64) (/.f64 #s(literal 5/24 binary64) (.f64 x x))) (/.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* (pow x 6) (- (+ (* 5/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 61/720 (/ 1/2 (pow x 4)))))
(fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (+.f64 (+.f64 #s(literal -61/720 binary64) (/.f64 #s(literal 5/24 binary64) (.f64 x x))) (/.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (*.f64 x x))))) #s(literal 1 binary64))
-1/2
#s(literal -1/2 binary64)
(- (* 5/24 (pow x 2)) 1/2)
(fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))
(- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64))
(- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64))
(* -61/720 (pow x 4))
(.f64 x (.f64 x (.f64 x (.f64 x #s(literal -61/720 binary64)))))
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))))
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -61/720 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) #s(literal 5/24 binary64)))
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -61/720 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) #s(literal 5/24 binary64)))
(* -61/720 (pow x 4))
(.f64 x (.f64 x (.f64 x (.f64 x #s(literal -61/720 binary64)))))
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))))
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -61/720 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) #s(literal 5/24 binary64)))
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -61/720 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) #s(literal 5/24 binary64)))
5/24
#s(literal 5/24 binary64)
(+ 5/24 (* -61/720 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))
(+ 5/24 (* -61/720 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))
(+ 5/24 (* -61/720 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))
(* -61/720 (pow x 2))
(.f64 x (.f64 x #s(literal -61/720 binary64)))
(* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))
(* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))
(* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))
(* -61/720 (pow x 2))
(.f64 x (.f64 x #s(literal -61/720 binary64)))
(* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))
(* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))
(* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/4 (pow x 2)) 1/2)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/4 (* -91/720 (pow x 2)))) 1/2)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -91/720 binary64) #s(literal 1/4 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/ 720 (pow x 6))
(/.f64 #s(literal 720 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))
(/ (- 720 (* 259200 (/ 1 (pow x 4)))) (pow x 6))
(/.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -259200 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))
(/ (+ 720 (* -1 (/ (+ 259200 (* 518400 (/ 1 (pow x 2)))) (pow x 4)))) (pow x 6))
(/.f64 (+.f64 #s(literal 720 binary64) (/.f64 (-.f64 #s(literal -259200 binary64) (/.f64 #s(literal 518400 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))
(/ (- (+ 720 (* 93312000 (/ 1 (pow x 8)))) (+ (* 259200 (/ 1 (pow x 4))) (/ 518400 (pow x 6)))) (pow x 6))
(/.f64 (+.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -259200 binary64) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (/.f64 #s(literal 93312000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (/.f64 #s(literal -518400 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))
(/ 720 (pow x 6))
(/.f64 #s(literal 720 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))
(/ (- 720 (* 259200 (/ 1 (pow x 4)))) (pow x 6))
(/.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -259200 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))
(/ (+ 720 (* -1 (/ (+ 259200 (* 518400 (/ 1 (pow x 2)))) (pow x 4)))) (pow x 6))
(/.f64 (+.f64 #s(literal 720 binary64) (/.f64 (-.f64 #s(literal -259200 binary64) (/.f64 #s(literal 518400 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))
(/ (- (+ 720 (* 93312000 (/ 1 (pow x 8)))) (+ (* 259200 (/ 1 (pow x 4))) (/ 518400 (pow x 6)))) (pow x 6))
(/.f64 (+.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -259200 binary64) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (/.f64 #s(literal 93312000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (/.f64 #s(literal -518400 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))
2
#s(literal 2 binary64)
(+ 2 (pow x 2))
(fma.f64 x x #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1 (* 1/360 (pow x 4)))))
(fma.f64 x (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x #s(literal 1/360 binary64)) x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1 (* 1/360 (pow x 4)))))
(fma.f64 x (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x #s(literal 1/360 binary64)) x) #s(literal 2 binary64))
(* 1/360 (pow x 6))
(.f64 #s(literal 1/360 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))
(* (pow x 6) (+ 1/360 (/ 1 (pow x 4))))
(fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x #s(literal 1/360 binary64))) (/.f64 (.f64 x (*.f64 x x)) x))
(* (pow x 6) (+ 1/360 (+ (/ 1 (pow x 4)) (/ 2 (pow x 6)))))
(+.f64 #s(literal 2 binary64) (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x #s(literal 1/360 binary64))) (/.f64 (.f64 x (*.f64 x x)) x)))
(* (pow x 6) (+ 1/360 (+ (/ 1 (pow x 4)) (/ 2 (pow x 6)))))
(+.f64 #s(literal 2 binary64) (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x #s(literal 1/360 binary64))) (/.f64 (.f64 x (*.f64 x x)) x)))
(* 1/360 (pow x 6))
(.f64 #s(literal 1/360 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))
(* (pow x 6) (+ 1/360 (/ 1 (pow x 4))))
(fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x #s(literal 1/360 binary64))) (/.f64 (.f64 x (*.f64 x x)) x))
(* (pow x 6) (+ 1/360 (+ (/ 1 (pow x 4)) (/ 2 (pow x 6)))))
(+.f64 #s(literal 2 binary64) (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x #s(literal 1/360 binary64))) (/.f64 (.f64 x (*.f64 x x)) x)))
(* (pow x 6) (+ 1/360 (+ (/ 1 (pow x 4)) (/ 2 (pow x 6)))))
(+.f64 #s(literal 2 binary64) (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x #s(literal 1/360 binary64))) (/.f64 (.f64 x (*.f64 x x)) x)))
x
(* x (+ 1 (* 1/360 (pow x 4))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x #s(literal 1/360 binary64)) x)
(* x (+ 1 (* 1/360 (pow x 4))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x #s(literal 1/360 binary64)) x)
(* x (+ 1 (* 1/360 (pow x 4))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x #s(literal 1/360 binary64)) x)
(* 1/360 (pow x 5))
(.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 x #s(literal 1/360 binary64)))
(* (pow x 5) (+ 1/360 (/ 1 (pow x 4))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x #s(literal 1/360 binary64)) x)
(* (pow x 5) (+ 1/360 (/ 1 (pow x 4))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x #s(literal 1/360 binary64)) x)
(* (pow x 5) (+ 1/360 (/ 1 (pow x 4))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x #s(literal 1/360 binary64)) x)
(* 1/360 (pow x 5))
(.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 x #s(literal 1/360 binary64)))
(* (pow x 5) (+ 1/360 (/ 1 (pow x 4))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x #s(literal 1/360 binary64)) x)
(* (pow x 5) (+ 1/360 (/ 1 (pow x 4))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x #s(literal 1/360 binary64)) x)
(* (pow x 5) (+ 1/360 (/ 1 (pow x 4))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x #s(literal 1/360 binary64)) x)
(* 1/360 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/360 binary64))))
(* 1/360 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/360 binary64))))
(* 1/360 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/360 binary64))))
(* 1/360 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/360 binary64))))
(* 1/360 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/360 binary64))))
(* 1/360 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/360 binary64))))
(* 1/360 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/360 binary64))))
(* 1/360 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/360 binary64))))
(* 1/360 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/360 binary64))))
(* 1/360 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/360 binary64))))
(* 1/360 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/360 binary64))))
(* 1/360 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/360 binary64))))
(/ 24 (pow x 4))
(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ (+ 24 (* -4/5 (pow x 2))) (pow x 4))
(/.f64 (fma.f64 x (.f64 x #s(literal -4/5 binary64)) #s(literal 24 binary64)) (.f64 x (.f64 x (.f64 x x))))
(/ (+ 24 (* (pow x 2) (- (* 2/75 (pow x 2)) 4/5))) (pow x 4))
(/.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 2/75 binary64)) #s(literal -4/5 binary64))) #s(literal 24 binary64)) (.f64 x (.f64 x (*.f64 x x))))
(/ (+ 24 (* (pow x 2) (- (* (pow x 2) (+ 2/75 (* -1/1125 (pow x 2)))) 4/5))) (pow x 4))
(/.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/1125 binary64) #s(literal 2/75 binary64))) #s(literal -4/5 binary64))) #s(literal 24 binary64)) (.f64 x (.f64 x (.f64 x x))))
(/ 720 (pow x 6))
(/.f64 #s(literal 720 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))
(/ (- (+ 720 (/ 648000 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/.f64 (+.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (.f64 x x))) (/.f64 #s(literal 648000 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))
(/ (- (+ 720 (/ 648000 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 19440000 (/ 1 (pow x 6))))) (pow x 6))
(/.f64 (+.f64 (+.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (.f64 x x))) (/.f64 #s(literal 648000 binary64) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal -19440000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))
(/ 720 (pow x 6))
(/.f64 #s(literal 720 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))
(/ (- (+ 720 (/ 648000 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/.f64 (+.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (.f64 x x))) (/.f64 #s(literal 648000 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))
(/ (- (+ 720 (/ 648000 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 19440000 (/ 1 (pow x 6))))) (pow x 6))
(/.f64 (+.f64 (+.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (.f64 x x))) (/.f64 #s(literal 648000 binary64) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal -19440000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))
(/ 2 (pow x 6))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))
(/ 2 (pow x 6))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))
(/ 2 (pow x 6))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))
(/ 2 (pow x 6))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))
(/ 2 (pow x 6))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))
(/ 2 (pow x 6))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))
(/ 2 (pow x 6))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))
(/ 2 (pow x 6))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))
(/ 2 (pow x 6))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))
(/ 2 (pow x 6))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))
(/ 2 (pow x 6))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))
(/ 2 (pow x 6))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))
(pow x 6)
(.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))
(pow x 6)
(.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))
(pow x 6)
(.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))
(pow x 6)
(.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))
(pow x 6)
(.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))
(pow x 6)
(.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))
(pow x 6)
(.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))
(pow x 6)
(.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))
(pow x 6)
(.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))
(pow x 6)
(.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))
(pow x 6)
(.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))
(pow x 6)
(.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))
1/12
#s(literal 1/12 binary64)
(+ 1/12 (* 1/360 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(+ 1/12 (* 1/360 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(+ 1/12 (* 1/360 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(* 1/360 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/360 binary64))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(* 1/360 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/360 binary64))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(* -61/720 x)
(*.f64 x #s(literal -61/720 binary64))
(* -61/720 x)
(*.f64 x #s(literal -61/720 binary64))
(* -61/720 x)
(*.f64 x #s(literal -61/720 binary64))
(* -61/720 x)
(*.f64 x #s(literal -61/720 binary64))
(* -61/720 x)
(*.f64 x #s(literal -61/720 binary64))
(* -61/720 x)
(*.f64 x #s(literal -61/720 binary64))
(* -61/720 x)
(*.f64 x #s(literal -61/720 binary64))
(* -61/720 x)
(*.f64 x #s(literal -61/720 binary64))
(* -61/720 x)
(*.f64 x #s(literal -61/720 binary64))
(* -61/720 x)
(*.f64 x #s(literal -61/720 binary64))
(* -61/720 x)
(*.f64 x #s(literal -61/720 binary64))
(* -61/720 x)
(*.f64 x #s(literal -61/720 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/360 binary64))
(* 1/360 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/360 binary64))
(* 1/360 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/360 binary64))
(* 1/360 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/360 binary64))
(* 1/360 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/360 binary64))
(* 1/360 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/360 binary64))
(* 1/360 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/360 binary64))
(* 1/360 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/360 binary64))
(* 1/360 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/360 binary64))
(* 1/360 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/360 binary64))
(* 1/360 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/360 binary64))
(* 1/360 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/360 binary64))
(/ 1/12 (pow x 2))
(/.f64 #s(literal 1/12 binary64) (*.f64 x x))
(/ 1/12 (pow x 2))
(/.f64 #s(literal 1/12 binary64) (*.f64 x x))
(/ 1/12 (pow x 2))
(/.f64 #s(literal 1/12 binary64) (*.f64 x x))
(/ 1/12 (pow x 2))
(/.f64 #s(literal 1/12 binary64) (*.f64 x x))
(/ 1/12 (pow x 2))
(/.f64 #s(literal 1/12 binary64) (*.f64 x x))
(/ 1/12 (pow x 2))
(/.f64 #s(literal 1/12 binary64) (*.f64 x x))
(/ 1/12 (pow x 2))
(/.f64 #s(literal 1/12 binary64) (*.f64 x x))
(/ 1/12 (pow x 2))
(/.f64 #s(literal 1/12 binary64) (*.f64 x x))
(/ 1/12 (pow x 2))
(/.f64 #s(literal 1/12 binary64) (*.f64 x x))
(/ 1/12 (pow x 2))
(/.f64 #s(literal 1/12 binary64) (*.f64 x x))
(/ 1/12 (pow x 2))
(/.f64 #s(literal 1/12 binary64) (*.f64 x x))
(/ 1/12 (pow x 2))
(/.f64 #s(literal 1/12 binary64) (*.f64 x x))

eval141.0ms (1.4%)

Memory: -0.5MiB live, 237.3MiB allocated
Compiler: Compiled 39 219 to 2 549 computations (93.5% saved)

prune126.0ms (1.3%)

Memory

-21.7MiB live, 260.3MiB allocated

Pruning

45 alts after pruning (36 fresh and 9 done)

	Pruned	Kept	Total
New	1 101	12	1 113
Fresh	3	24	27
Picked	1	4	5
Done	0	5	5
Total	1 105	45	1 150

Accuracy

100.0%

Counts

1 150 → 45

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.6%	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
	49.6%	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓	49.6%	(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
	13.0%	(/.f64 (fma.f64 x (.f64 x #s(literal -4/5 binary64)) #s(literal 24 binary64)) (.f64 x (.f64 x (.f64 x x))))
	43.3%	(/.f64 (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x))))
	27.7%	(/.f64 (/.f64 #s(literal 2 binary64) x) x)
	42.6%	(/.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))
	42.6%	(/.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))
	36.8%	(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))
	42.8%	(/.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x (.f64 x x))) (/.f64 #s(literal 2 binary64) x)) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x))))
	42.8%	(/.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x))))
	49.6%	(/.f64 (.f64 #s(literal 4 binary64) (sinh.f64 x)) (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))
	44.0%	(/.f64 #s(literal 720 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))
	44.0%	(/.f64 #s(literal 720 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
	38.2%	(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (*.f64 x x))))
	91.1%	(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x) x #s(literal 2 binary64)))
	85.1%	(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64) x) x #s(literal 2 binary64)))
	44.1%	(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) #s(literal 1/360 binary64))) x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (*.f64 x x))))))
	90.9%	(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x))))) #s(literal 1/360 binary64) (fma.f64 x x #s(literal 2 binary64))))
✓	91.1%	(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (fma.f64 x x #s(literal 2 binary64))))
	66.1%	(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64)) (fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)))) (fma.f64 x x #s(literal 2 binary64))))
	66.8%	(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64) #s(literal -1/144 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64))) x) #s(literal 2 binary64)))
✓	85.1%	(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) x x) #s(literal 2 binary64)))
	90.9%	(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/360 binary64)) x) #s(literal 2 binary64)))
✓	90.9%	(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x #s(literal 1/360 binary64))) (.f64 x x)) x) #s(literal 2 binary64)))
✓	74.9%	(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
	44.0%	(/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/360 binary64)))
	44.1%	(/.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))
	38.5%	(/.f64 #s(literal 2 binary64) (.f64 x (fma.f64 (.f64 x x) (*.f64 x #s(literal 1/12 binary64)) x)))
	38.5%	(/.f64 #s(literal 2 binary64) (.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)))
	44.0%	(/.f64 #s(literal 2 binary64) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/360 binary64))))
	38.2%	(/.f64 #s(literal 2 binary64) (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x)))))
✓	28.3%	(/.f64 #s(literal 2 binary64) (*.f64 x x))
	44.0%	(/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/360 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))
	66.1%	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
	85.1%	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
	56.6%	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64)) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
	90.8%	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1 binary64)))
	44.0%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64))))))
✓	100.0%	(/.f64 #s(literal 1 binary64) (cosh.f64 x))
	49.6%	(.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))))
	42.8%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x)))) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x)))))
	56.5%	(.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64) x) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64) x)) #s(literal -4 binary64))) (fma.f64 x (fma.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64) x) #s(literal -2 binary64)))
	42.8%	(.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x)))) x))
✓	50.1%	#s(literal 1 binary64)

Compiler

Compiled 1 887 to 691 computations (63.4% saved)

regimes48.0ms (0.5%)

Memory

19.5MiB live, 96.2MiB allocated

Counts

62 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x)))))
(/.f64 #s(literal 2 binary64) (.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)))
(/.f64 #s(literal 2 binary64) (.f64 x (fma.f64 (.f64 x x) (*.f64 x #s(literal 1/12 binary64)) x)))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) x x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64) x) x #s(literal 2 binary64)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 720 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(/.f64 #s(literal 720 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))
(/.f64 (fma.f64 x (.f64 x #s(literal -4/5 binary64)) #s(literal 24 binary64)) (.f64 x (.f64 x (.f64 x x))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64))))))
(/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/360 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/360 binary64))))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/360 binary64)))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))
(/.f64 #s(literal 2 binary64) (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x (*.f64 x x)))) #s(literal 1/360 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x #s(literal 1/360 binary64))) (.f64 x x)) x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/360 binary64)) x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) #s(literal 1/360 binary64)) x) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x) x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))
(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x))))) #s(literal 1/360 binary64) (fma.f64 x x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (fma.f64 x x #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))
(/.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x)))))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) x) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x)))))
(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 #s(literal 1/360 binary64) x) (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) #s(literal 1/360 binary64))) x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(/.f64 (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x))))
(/.f64 (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x))))
(.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x)))) x))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x)))) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64) #s(literal -1/144 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64))) x) #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x))))
(/.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x (.f64 x x))) (/.f64 #s(literal 2 binary64) x)) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x))))
(.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) (.f64 x #s(literal 1/12 binary64)) x) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/12 binary64)) x)) #s(literal -4 binary64))) (fma.f64 x (fma.f64 (.f64 x x) (*.f64 x #s(literal 1/12 binary64)) x) #s(literal -2 binary64)))
(.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64) x) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64) x)) #s(literal -4 binary64))) (fma.f64 x (fma.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64) x) #s(literal -2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (.f64 x x) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))) (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64)))))) x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64)) (fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)))) (fma.f64 x x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64)) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/360 binary64)) (.f64 #s(literal -1/12 binary64) x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/360 binary64)) (*.f64 #s(literal -1/12 binary64) x)))) x) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (.f64 #s(literal 4 binary64) (sinh.f64 x)) (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))
(.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))))

Outputs
(/.f64 #s(literal 1 binary64) (cosh.f64 x))

Calls

3 calls:

18.0ms	x
14.0ms	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
13.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes81.0ms (0.8%)

Memory

-1.7MiB live, 78.7MiB allocated

Counts

58 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x)))))
(/.f64 #s(literal 2 binary64) (.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)))
(/.f64 #s(literal 2 binary64) (.f64 x (fma.f64 (.f64 x x) (*.f64 x #s(literal 1/12 binary64)) x)))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) x x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64) x) x #s(literal 2 binary64)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 720 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(/.f64 #s(literal 720 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))
(/.f64 (fma.f64 x (.f64 x #s(literal -4/5 binary64)) #s(literal 24 binary64)) (.f64 x (.f64 x (.f64 x x))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64))))))
(/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/360 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/360 binary64))))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/360 binary64)))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))
(/.f64 #s(literal 2 binary64) (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x (*.f64 x x)))) #s(literal 1/360 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x #s(literal 1/360 binary64))) (.f64 x x)) x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/360 binary64)) x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) #s(literal 1/360 binary64)) x) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x) x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))
(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x))))) #s(literal 1/360 binary64) (fma.f64 x x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (fma.f64 x x #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))
(/.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x)))))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) x) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x)))))
(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 #s(literal 1/360 binary64) x) (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) #s(literal 1/360 binary64))) x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(/.f64 (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x))))
(/.f64 (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x))))
(.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x)))) x))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x)))) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64) #s(literal -1/144 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64))) x) #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x))))
(/.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x (.f64 x x))) (/.f64 #s(literal 2 binary64) x)) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x))))
(.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) (.f64 x #s(literal 1/12 binary64)) x) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/12 binary64)) x)) #s(literal -4 binary64))) (fma.f64 x (fma.f64 (.f64 x x) (*.f64 x #s(literal 1/12 binary64)) x) #s(literal -2 binary64)))
(.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64) x) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64) x)) #s(literal -4 binary64))) (fma.f64 x (fma.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64) x) #s(literal -2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (.f64 x x) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))) (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64)))))) x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64)) (fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)))) (fma.f64 x x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64)) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/360 binary64)) (.f64 #s(literal -1/12 binary64) x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/360 binary64)) (*.f64 #s(literal -1/12 binary64) x)))) x) #s(literal 2 binary64)))

Outputs
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))

Calls

3 calls:

50.0ms	x
15.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
12.0ms	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Results

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes35.0ms (0.4%)

Memory

8.1MiB live, 46.5MiB allocated

Counts

31 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x)))))
(/.f64 #s(literal 2 binary64) (.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)))
(/.f64 #s(literal 2 binary64) (.f64 x (fma.f64 (.f64 x x) (*.f64 x #s(literal 1/12 binary64)) x)))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) x x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64) x) x #s(literal 2 binary64)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 720 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(/.f64 #s(literal 720 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))
(/.f64 (fma.f64 x (.f64 x #s(literal -4/5 binary64)) #s(literal 24 binary64)) (.f64 x (.f64 x (.f64 x x))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64))))))
(/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/360 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/360 binary64))))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/360 binary64)))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))
(/.f64 #s(literal 2 binary64) (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x (*.f64 x x)))) #s(literal 1/360 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x #s(literal 1/360 binary64))) (.f64 x x)) x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/360 binary64)) x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) #s(literal 1/360 binary64)) x) #s(literal 2 binary64)))

Outputs
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x #s(literal 1/360 binary64))) (.f64 x x)) x) #s(literal 2 binary64)))

Calls

3 calls:

18.0ms	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
9.0ms	x
7.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
90.9%	1	`x`
90.9%	1	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
90.9%	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes58.0ms (0.6%)

Memory

0.6MiB live, 39.1MiB allocated

Counts

28 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x)))))
(/.f64 #s(literal 2 binary64) (.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)))
(/.f64 #s(literal 2 binary64) (.f64 x (fma.f64 (.f64 x x) (*.f64 x #s(literal 1/12 binary64)) x)))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) x x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64) x) x #s(literal 2 binary64)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 720 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(/.f64 #s(literal 720 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))
(/.f64 (fma.f64 x (.f64 x #s(literal -4/5 binary64)) #s(literal 24 binary64)) (.f64 x (.f64 x (.f64 x x))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64))))))
(/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/360 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/360 binary64))))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/360 binary64)))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))
(/.f64 #s(literal 2 binary64) (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x (*.f64 x x)))) #s(literal 1/360 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1 binary64)))

Outputs
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1 binary64)))

Calls

3 calls:

42.0ms	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
8.0ms	x
6.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
90.8%	1	`x`
90.8%	1	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
90.8%	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes52.0ms (0.5%)

Memory

-9.2MiB live, 29.6MiB allocated

Counts

27 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x)))))
(/.f64 #s(literal 2 binary64) (.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)))
(/.f64 #s(literal 2 binary64) (.f64 x (fma.f64 (.f64 x x) (*.f64 x #s(literal 1/12 binary64)) x)))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) x x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64) x) x #s(literal 2 binary64)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 720 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(/.f64 #s(literal 720 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))
(/.f64 (fma.f64 x (.f64 x #s(literal -4/5 binary64)) #s(literal 24 binary64)) (.f64 x (.f64 x (.f64 x x))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64))))))
(/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/360 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/360 binary64))))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/360 binary64)))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))
(/.f64 #s(literal 2 binary64) (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x (*.f64 x x)))) #s(literal 1/360 binary64)) #s(literal 2 binary64)))

Outputs
(/.f64 #s(literal 2 binary64) (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x (*.f64 x x)))) #s(literal 1/360 binary64)) #s(literal 2 binary64)))

Calls

3 calls:

38.0ms	x
6.0ms	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
6.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
90.8%	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
90.8%	1	`x`
90.8%	1	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes21.0ms (0.2%)

Memory

28.2MiB live, 28.2MiB allocated

Counts

26 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x)))))
(/.f64 #s(literal 2 binary64) (.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)))
(/.f64 #s(literal 2 binary64) (.f64 x (fma.f64 (.f64 x x) (*.f64 x #s(literal 1/12 binary64)) x)))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) x x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64) x) x #s(literal 2 binary64)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 720 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(/.f64 #s(literal 720 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))
(/.f64 (fma.f64 x (.f64 x #s(literal -4/5 binary64)) #s(literal 24 binary64)) (.f64 x (.f64 x (.f64 x x))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64))))))
(/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/360 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/360 binary64))))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/360 binary64)))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))

Outputs

(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))

(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
91.0%	2	`x`
91.0%	2	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
91.0%	2	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes60.0ms (0.6%)

Memory

-51.6MiB live, 19.6MiB allocated

Counts

25 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x)))))
(/.f64 #s(literal 2 binary64) (.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)))
(/.f64 #s(literal 2 binary64) (.f64 x (fma.f64 (.f64 x x) (*.f64 x #s(literal 1/12 binary64)) x)))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) x x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64) x) x #s(literal 2 binary64)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 720 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(/.f64 #s(literal 720 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))
(/.f64 (fma.f64 x (.f64 x #s(literal -4/5 binary64)) #s(literal 24 binary64)) (.f64 x (.f64 x (.f64 x x))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64))))))
(/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/360 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/360 binary64))))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/360 binary64)))

Outputs

(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))

(/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
91.0%	2	`x`
91.0%	2	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
91.0%	2	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes16.0ms (0.2%)

Memory

15.0MiB live, 15.0MiB allocated

Counts

18 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x)))))
(/.f64 #s(literal 2 binary64) (.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)))
(/.f64 #s(literal 2 binary64) (.f64 x (fma.f64 (.f64 x x) (*.f64 x #s(literal 1/12 binary64)) x)))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) x x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64) x) x #s(literal 2 binary64)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))

Outputs
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
85.1%	1	`x`
85.1%	1	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
85.1%	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes35.0ms (0.4%)

Memory

-26.3MiB live, 13.2MiB allocated

Counts

12 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x)))))
(/.f64 #s(literal 2 binary64) (.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)))
(/.f64 #s(literal 2 binary64) (.f64 x (fma.f64 (.f64 x x) (*.f64 x #s(literal 1/12 binary64)) x)))

Outputs

(/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)))

(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))

Calls

3 calls:

27.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
4.0ms	x
3.0ms	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Results

Accuracy	Segments	Branch
85.1%	2	`x`
85.1%	2	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
85.1%	2	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes10.0ms (0.1%)

Memory

10.1MiB live, 10.1MiB allocated

Counts

10 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x)))))

Outputs
(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (*.f64 x x))))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
85.1%	2	`x`
85.1%	2	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
85.1%	2	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes9.0ms (0.1%)

Memory

9.2MiB live, 9.2MiB allocated

Counts

8 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))

Outputs
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
74.9%	1	`x`
74.9%	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
74.9%	1	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes5.0ms (0.1%)

Memory

6.1MiB live, 6.1MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 x x))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
74.9%	2	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
74.9%	2	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
74.9%	2	`x`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes4.0ms (0%)

Memory

4.9MiB live, 4.9MiB allocated

Accuracy

Total -0.4b remaining (-1.3%)

Threshold costs -0.4b (-1.3%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))

Outputs
#s(literal 1 binary64)

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
50.1%	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
50.1%	1	`x`
50.1%	1	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.0058292923985173	94.80503683046639

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.0058292923985173	94.80503683046639

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.021095925563284875	0.9970938242747733

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.021095925563284875	0.9970938242747733

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch22.0ms (0.2%)

Memory

-32.2MiB live, 7.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
21.0ms	0.07633127063372663	4.551711260881175

Samples

17.0ms

112×

valid

Compiler

Compiled 117 to 88 computations (24.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-exp: 13.0ms (90.1% of total)

ival-div: 1.0ms (6.9% of total)

ival-add: 1.0ms (6.9% of total)

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

exact: 0.0ms (0% of total)

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

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

simplify9.0ms (0.1%)

Memory

7.2MiB live, 7.2MiB allocated

Algorithm

1×	egg-herbie

Rules

30×	`*-commutative_binary64`
4×	`+-commutative_binary64`
2×	`sub-neg_binary64`
2×	`1-exp_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	251
1	96	251
2	98	251
3	99	251

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x #s(literal 1/360 binary64))) (.f64 x x)) x) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x (*.f64 x x)))) #s(literal 1/360 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 4 binary64)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))
(if (<=.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 4 binary64)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 720 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #s(literal 5764607523034235/144115188075855872 binary64)) (/.f64 #s(literal 2 binary64) (.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x))) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #s(literal 5764607523034235/144115188075855872 binary64)) (/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
(if (<=.f64 x #s(literal 5404319552844595/4503599627370496 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (.f64 x x)))
#s(literal 1 binary64)

Outputs
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x #s(literal 1/360 binary64))) (.f64 x x)) x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/360 binary64)))) x) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x (*.f64 x x)))) #s(literal 1/360 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x))))) #s(literal 2 binary64)))
(if (<=.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 4 binary64)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))
(if (<=.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 4 binary64)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 720 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #s(literal 5764607523034235/144115188075855872 binary64)) (/.f64 #s(literal 2 binary64) (.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x))) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #s(literal 5764607523034235/144115188075855872 binary64)) (/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
(if (<=.f64 x #s(literal 5404319552844595/4503599627370496 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (.f64 x x)))
#s(literal 1 binary64)

soundness2.4s (23.9%)

Memory

40.7MiB live, 946.4MiB allocated

Rules

15 580×	`lower-fma.f64`
15 580×	`lower-fma.f32`
13 148×	`lower-fma.f64`
13 148×	`lower-fma.f32`
12 198×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	66	283
1	162	282
2	359	278
3	921	278
4	1406	278
5	2068	278
6	3397	278
7	4663	278
8	5970	278
9	7535	278
0	8007	256
0	20	120
0	40	120
1	180	114
2	1274	114
0	8377	108
0	31	212
0	61	190
1	287	166
2	2192	166
0	8233	158
0	169	1534
1	492	1502
2	1239	1500
3	3411	1478
4	6801	1478
0	8114	1388
0	205	1914
1	560	1882
2	1322	1852
3	3351	1832
4	6268	1832
0	8068	1722
0	7	19
0	12	15
1	42	13
2	257	13
3	2370	13
0	9064	13

Stop Event

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

Compiler

Compiled 570 to 264 computations (53.7% saved)

preprocess118.0ms (1.2%)

Memory: -6.0MiB live, 185.2MiB allocated
Remove: (abs x)
Compiler: Compiled 552 to 188 computations (65.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	9	16
1	28	16
2	57	16
3	100	16
4	137	16
5	181	16
6	209	16
7	217	16
8	223	16
9	233	16
10	241	16
0	7	8
0	12	8
1	19	8
2	25	8
3	29	8
4	33	8
5	39	8
6	46	8
7	50	8
8	52	8
9	53	8
0	53	8

Iter	Nodes	Cost
0	9	16
1	28	16
2	57	16
3	100	16
4	137	16
5	181	16
6	209	16
7	217	16
8	223	16
9	233	16
10	241	16
0	7	8
0	12	8
1	19	8
2	25	8
3	29	8
4	33	8
5	39	8
6	46	8
7	50	8
8	52	8
9	53	8
0	53	8

analyze0.0ms (0%)

sample838.0ms (8.3%)

preprocess291.0ms (2.9%)

explain123.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.1%)

localize28.0ms (0.3%)

series5.0ms (0%)

rewrite367.0ms (3.6%)

simplify386.0ms (3.8%)

eval63.0ms (0.6%)

prune53.0ms (0.5%)

simplify287.0ms (2.9%)

localize96.0ms (1%)

series13.0ms (0.1%)

rewrite740.0ms (7.3%)

simplify524.0ms (5.2%)

eval155.0ms (1.5%)

prune148.0ms (1.5%)

simplify361.0ms (3.6%)

localize125.0ms (1.2%)

series44.0ms (0.4%)

rewrite364.0ms (3.6%)

simplify357.0ms (3.5%)

eval111.0ms (1.1%)

prune118.0ms (1.2%)

simplify372.0ms (3.7%)

localize132.0ms (1.3%)

series8.0ms (0.1%)

rewrite362.0ms (3.6%)

simplify334.0ms (3.3%)

eval141.0ms (1.4%)

prune126.0ms (1.3%)

regimes48.0ms (0.5%)

regimes81.0ms (0.8%)

regimes35.0ms (0.4%)

regimes58.0ms (0.6%)

regimes52.0ms (0.5%)

regimes21.0ms (0.2%)

regimes60.0ms (0.6%)

regimes16.0ms (0.2%)

regimes35.0ms (0.4%)

regimes10.0ms (0.1%)

regimes9.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch22.0ms (0.2%)

simplify9.0ms (0.1%)

soundness2.4s (23.9%)

preprocess118.0ms (1.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	9	16
1	28	16
2	57	16
3	100	16
4	137	16
5	181	16
6	209	16
7	217	16
8	223	16
9	233	16
10	241	16
0	7	8
0	12	8
1	19	8
2	25	8
3	29	8
4	33	8
5	39	8
6	46	8
7	50	8
8	52	8
9	53	8
0	53	8