Metrics for Hyperbolic secant

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 10 to 9 computations (10% saved)

sample727.0ms (9.1%)

Memory

27.5MiB live, 932.7MiB allocated

Samples

478.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 342.0ms

ival-exp: 175.0ms (51.2% of total)

ival-div: 62.0ms (18.1% of total)

ival-add: 60.0ms (17.6% of total)

ival-neg: 32.0ms (9.4% of total)

ival-true: 5.0ms (1.5% of total)

exact: 4.0ms (1.2% of total)

ival-assert: 3.0ms (0.9% of total)

Bogosity

preprocess23.0ms (0.3%)

Memory

-0.7MiB live, 35.8MiB 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)

explain83.0ms (1%)

Memory

0.1MiB live, 160.4MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(/.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)`
-	-	`(exp.f64 (neg.f64 x))`
-	-	`(neg.f64 x)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

28.0ms

512×

valid

Compiler

Compiled 68 to 32 computations (52.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-exp: 7.0ms (43.9% of total)

ival-div: 3.0ms (18.8% of total)

ival-add: 2.0ms (12.5% of total)

ival-neg: 2.0ms (12.5% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB 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)

simplify8.0ms (0.1%)

Memory

-31.2MiB live, 9.2MiB 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)

localize23.0ms (0.3%)

Memory

15.8MiB live, 54.3MiB 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

15.0ms

256×

valid

Compiler

Compiled 25 to 9 computations (64% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-exp: 5.0ms (53.5% of total)

ival-div: 2.0ms (21.4% of total)

ival-add: 1.0ms (10.7% of total)

ival-neg: 1.0ms (10.7% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0%)

Memory

6.7MiB live, 6.7MiB 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
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)))
0.0ms	x	@	0	(exp x)

rewrite309.0ms (3.8%)

Memory

-2.6MiB live, 514.7MiB 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)))))
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))) (neg.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x))))
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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)))

simplify385.0ms (4.8%)

Memory

11.3MiB live, 652.7MiB 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))

eval75.0ms (0.9%)

Memory: -10.8MiB live, 104.5MiB allocated
Compiler: Compiled 8 303 to 1 377 computations (83.4% saved)

prune57.0ms (0.7%)

Memory

-1.1MiB live, 119.4MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	434	6	440
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	435	6	441

Accuracy

100.0%

Counts

441 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.2%	(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
	92.6%	(/.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)))
▶	88.5%	(/.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)))
▶	78.2%	(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
▶	100.0%	(/.f64 #s(literal 1 binary64) (cosh.f64 x))
▶	55.2%	#s(literal 1 binary64)

Compiler

Compiled 108 to 68 computations (37% saved)

simplify78.0ms (1%)

Memory

12.5MiB live, 88.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

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

Rules

1 200×	`lower-fma.f32`
1 192×	`lower-fma.f64`
648×	`lower-*.f32`
644×	`lower-*.f64`
232×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	76
0	28	76
1	53	73
2	90	73
3	110	73
4	125	73
5	135	73
6	187	73
7	248	73
8	352	73
9	444	73
10	543	73
11	657	73
12	897	73
13	1164	73
14	1271	73
15	1329	73
16	1372	73
17	1403	73
18	1418	73
19	1420	73
0	1420	70

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)
(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 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)

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

localize62.0ms (0.8%)

Memory

-17.5MiB live, 110.3MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x)
✓	accuracy	99.9%	(fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))
✓	accuracy	99.8%	(/.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	98.9%	(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 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	100.0%	(cosh.f64 x)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (cosh.f64 x))

Samples

39.0ms

256×

valid

Compiler

Compiled 86 to 20 computations (76.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-mult: 7.0ms (24.8% of total)

ival-cosh: 7.0ms (24.8% of total)

ival-div: 5.0ms (17.7% of total)

ival-add: 5.0ms (17.7% of total)

const: 3.0ms (10.6% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.1%)

Memory

15.2MiB live, 15.2MiB allocated

Counts

10 → 120

Calls

Call 1

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

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 (* -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 (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) (- (* 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))>

Calls

30 calls:

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

rewrite484.0ms (6%)

Memory

18.1MiB live, 691.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 862×	`lower-fma.f32`
9 854×	`lower-fma.f64`
5 486×	`lower-*.f32`
5 482×	`lower-*.f64`
3 636×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	62
0	28	62
1	123	59
2	799	59
3	7913	59
0	8617	56

Stop Event

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

Counts

10 → 547

Calls

Call 1

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

Outputs
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (cosh.f64 x))))
(-.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 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (cosh.f64 x)))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64))
(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 1/2 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 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) (.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (cosh.f64 x)) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(.f64 (.f64 #s(literal 1 binary64) (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 (cosh.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (cosh.f64 x))) #s(literal -2 binary64))
(.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))))) (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (+.f64 (neg.f64 x) (neg.f64 x)))))
(.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 (neg.f64 x) (neg.f64 x))))) (.f64 #s(literal 2 binary64) (sinh.f64 x)))
(exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (log.f64 (cosh.f64 x)))))
(-.f64 #s(literal 0 binary64) (neg.f64 (cosh.f64 x)))
(cosh.f64 x)
(neg.f64 (neg.f64 (cosh.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
(/.f64 (cosh.f64 x) #s(literal 1 binary64))
(/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cosh.f64 x)))
(/.f64 (neg.f64 (cosh.f64 x)) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal -2 binary64))
(/.f64 (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (+.f64 (neg.f64 x) (neg.f64 x))))))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 (neg.f64 x) (neg.f64 x)))) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))))
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x))) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal 1 binary64)) #s(literal -2 binary64))
(/.f64 (.f64 (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (+.f64 (neg.f64 x) (neg.f64 x)))))
(/.f64 (.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 (neg.f64 x) (neg.f64 x)))) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 x)))
(/.f64 (/.f64 #s(literal 1 binary64) (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 1/2 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))
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(/.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) #s(literal 1/1728 binary64) #s(literal 1 binary64)) (.f64 x (.f64 x x))) (fma.f64 #s(literal 1/1728 binary64) (.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (neg.f64 (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64))) (.f64 x x)))) (fma.f64 #s(literal 1/1728 binary64) (.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (neg.f64 (.f64 x (.f64 x x)))))
(/.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) #s(literal 1/1728 binary64) #s(literal 1 binary64)) (.f64 x (.f64 x x))) (fma.f64 #s(literal 1/1728 binary64) (.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (neg.f64 (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64))))) (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/144 binary64)) x)) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1/20736 binary64))))
(/.f64 (.f64 (.f64 (.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/144 binary64)) x)) (.f64 x (-.f64 (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/144 binary64))) x))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64))))) (.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/144 binary64)) x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)))
(.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64))))))
(.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x) (/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64))) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64)))))
(.f64 (.f64 (fma.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) #s(literal 1/1728 binary64) #s(literal 1 binary64)) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64))) (*.f64 x x))))
(.f64 (fma.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64))) (.f64 x x)) (.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64))) (.f64 x x)))))
(.f64 (fma.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64))) (.f64 x x)) (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x) (fma.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64))) (*.f64 x x))))
(.f64 (.f64 x (-.f64 (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/144 binary64))) x)) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64)))))
(.f64 (neg.f64 (.f64 (fma.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) #s(literal 1/1728 binary64) #s(literal 1 binary64)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64))) (*.f64 x x)))))
(.f64 (neg.f64 (.f64 x (-.f64 (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/144 binary64))) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64))) (.f64 x x))) (.f64 (fma.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) #s(literal 1/1728 binary64) #s(literal 1 binary64)) (.f64 x (*.f64 x x))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64)))) (.f64 x (-.f64 (.f64 x (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/144 binary64))) x)))
(.f64 (.f64 x (-.f64 x (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/144 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/12 binary64)))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x)
(.f64 (/.f64 (.f64 x (-.f64 (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/144 binary64))) x)) (.f64 x (-.f64 (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/144 binary64))) x))) (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) #s(literal 1/1728 binary64) #s(literal 1 binary64)) (.f64 x (.f64 x x))) (fma.f64 (.f64 x (+.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/12 binary64)))) (.f64 x (.f64 (+.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/12 binary64))) (.f64 x (+.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/12 binary64)))))) (.f64 (.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1/2985984 binary64)))) (fma.f64 (.f64 x (+.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/12 binary64)))) (-.f64 (.f64 x (+.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/12 binary64)))) (.f64 x (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/144 binary64))))) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1/20736 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) #s(literal 1/1728 binary64) #s(literal 1 binary64)) (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64))) (.f64 x x)) (.f64 x (-.f64 (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/144 binary64))) (+.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/12 binary64))))))) (.f64 x (-.f64 (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/144 binary64))) (+.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/12 binary64))))))
(.f64 (/.f64 (.f64 x (-.f64 (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/144 binary64))) x)) (fma.f64 #s(literal 1/1728 binary64) (.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (neg.f64 (.f64 x (.f64 x x))))) (.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/144 binary64)) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x))))
(.f64 x (.f64 x #s(literal 1/12 binary64)))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(.f64 #s(literal 1/12 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/12 binary64)) x)

simplify366.0ms (4.6%)

Memory

-55.2MiB live, 521.2MiB allocated

Algorithm

1×	egg-herbie

Rules

10 846×	`lower-fma.f64`
10 846×	`lower-fma.f32`
4 380×	`lower-*.f64`
4 380×	`lower-*.f32`
2 170×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	117	942
1	314	912
2	775	912
3	2183	908
4	5845	908
0	8388	842

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 119

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 (* -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))
(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) (- (* 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))

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 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x 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 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 x (.f64 x (fma.f64 x (.f64 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 x (*.f64 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 (* -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))
(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 #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 (.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 (* -1/8 (pow x 2)))) 1/2)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 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 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -4 binary64) (.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 8 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal -4 binary64) (.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 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -4 binary64) (.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 8 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal -4 binary64) (.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 x (.f64 x (fma.f64 (.f64 x 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 (+.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)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(* 1/12 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(* 1/12 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x)
(* x (+ 1 (* 1/12 (pow x 2))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x)
(* x (+ 1 (* 1/12 (pow x 2))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x)
(* 1/12 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x)
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x)
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x)
(* 1/12 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x)
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x)
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x)
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))

eval119.0ms (1.5%)

Memory: 14.7MiB live, 168.2MiB allocated
Compiler: Compiled 21 402 to 1 738 computations (91.9% saved)

prune78.0ms (1%)

Memory

6.4MiB live, 205.0MiB allocated

Pruning

17 alts after pruning (12 fresh and 5 done)

	Pruned	Kept	Total
New	675	11	686
Fresh	0	1	1
Picked	0	5	5
Done	0	0	0
Total	675	17	692

Accuracy

100.0%

Counts

692 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	55.2%	(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
	36.2%	(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (*.f64 x x))))
	88.5%	(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)))
	63.9%	(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x (.f64 x (-.f64 (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/144 binary64))) x))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)))
	88.5%	(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/12 binary64) (fma.f64 x x #s(literal 2 binary64))))
▶	88.5%	(/.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)))
	92.6%	(/.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)))
✓	88.5%	(/.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)))
▶	88.5%	(/.f64 #s(literal 2 binary64) (fma.f64 x x (fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64))))
✓	78.2%	(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
	56.8%	(/.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))) #s(literal -16 binary64)) (.f64 (fma.f64 x x #s(literal -2 binary64)) (fma.f64 (.f64 x x) (*.f64 x x) #s(literal 4 binary64)))))
	36.6%	(/.f64 #s(literal 2 binary64) (.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)))
▶	36.2%	(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
▶	26.3%	(/.f64 #s(literal 2 binary64) (*.f64 x x))
▶	92.6%	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x 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)))
✓	100.0%	(/.f64 #s(literal 1 binary64) (cosh.f64 x))
✓	55.2%	#s(literal 1 binary64)

Compiler

Compiled 443 to 253 computations (42.9% saved)

simplify36.0ms (0.5%)

Memory

23.8MiB live, 62.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

1 062×	`lower-fma.f32`
1 048×	`lower-fma.f64`
478×	`lower-*.f32`
466×	`lower-*.f64`
264×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	202
0	49	179
1	105	179
2	227	171
3	414	171
4	566	171
5	585	171
6	740	171
7	747	171
8	755	171
9	756	171
0	756	170

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize110.0ms (1.4%)

Memory

-31.4MiB live, 213.8MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64))
✓	accuracy	99.8%	(/.f64 #s(literal 2 binary64) (fma.f64 x x (fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64))))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 1/12 binary64))
✓	accuracy	99.9%	(fma.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64))
✓	accuracy	99.9%	(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64) x)
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.8%	(/.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)))
✓	accuracy	99.9%	(.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)))
✓	accuracy	99.9%	(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64))))
✓	accuracy	99.7%	(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 1/12 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	98.8%	(/.f64 #s(literal 2 binary64) (*.f64 x x))
✓	accuracy	99.9%	(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x 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)))
✓	accuracy	99.9%	(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
✓	accuracy	99.6%	(*.f64 x #s(literal 1/720 binary64))

Samples

60.0ms

256×

valid

Compiler

Compiled 223 to 33 computations (85.2% saved)

Precisions

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

ival-mult: 19.0ms (43% of total)

const: 10.0ms (22.6% of total)

ival-div: 8.0ms (18.1% of total)

ival-add: 7.0ms (15.8% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.1%)

Memory

19.1MiB live, 19.1MiB allocated

Counts

18 → 216

Calls

Call 1

Inputs
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x 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)))>
#<alt (fma.f64 (.f64 x x) (fma.f64 (.f64 x 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))>
#<alt (*.f64 x x)>
#<alt (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))>
#<alt (/.f64 #s(literal 2 binary64) (*.f64 x x))>
#<alt (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)))))>
#<alt (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64))))>
#<alt (.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)))>
#<alt (.f64 (.f64 x x) #s(literal 1/12 binary64))>
#<alt (/.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)))>
#<alt (fma.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64))>
#<alt (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64) x)>
#<alt (.f64 x (.f64 x x))>
#<alt (fma.f64 x x (fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 2 binary64) (fma.f64 x x (fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64))))>
#<alt (fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64))>
#<alt (*.f64 x #s(literal 1/720 binary64))>
#<alt (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 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 (/ 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 (/ 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 (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (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))>
#<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 (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>
#<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 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 (* 1/12 (pow x 4)))>
#<alt (+ 2 (* 1/12 (pow x 4)))>
#<alt (+ 2 (* 1/12 (pow x 4)))>
#<alt (* 1/12 (pow x 4))>
#<alt (* (pow x 4) (+ 1/12 (* 2 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/12 (* 2 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/12 (* 2 (/ 1 (pow x 4)))))>
#<alt (* 1/12 (pow x 4))>
#<alt (* (pow x 4) (+ 1/12 (* 2 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/12 (* 2 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/12 (* 2 (/ 1 (pow x 4)))))>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<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)))))>

Calls

54 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/ 2 (* x (* x (* (* x x) 1/12))))
0.0ms	x	@	inf	(/ 1 (+ (* (* x x) (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) 1))
0.0ms	x	@	-inf	(* x (* x x))
0.0ms	x	@	0	(/ 2 (* x x))
0.0ms	x	@	-inf	(* x (* (* x x) 1/12))

rewrite575.0ms (7.2%)

Memory

-9.3MiB live, 538.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 102×	`lower-fma.f32`
8 088×	`lower-fma.f64`
4 156×	`lower-/.f32`
4 148×	`lower-/.f64`
4 024×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	169
0	49	146
1	229	140
2	1629	138
0	8203	137

Stop Event

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

Counts

18 → 697

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log1p.f64 (.f64 x (.f64 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 0 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 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 (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (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) (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 (.f64 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)))) (.f64 (.f64 x x) (.f64 (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)) (.f64 x (.f64 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 (.f64 x (.f64 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 (.f64 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)))) (.f64 (.f64 x x) (.f64 (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)) (.f64 x (.f64 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 (/.f64 (.f64 x (.f64 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) (.f64 (.f64 x x) (.f64 (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) (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 1 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (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) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64))))
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(/.f64 (neg.f64 (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (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) (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 (.f64 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)))))) (neg.f64 (fma.f64 (.f64 x (.f64 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)))) (.f64 (.f64 x x) (.f64 (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)) (.f64 x (.f64 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))))
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(pow.f64 (fma.f64 x (.f64 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))
(pow.f64 (pow.f64 (fma.f64 x (.f64 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 -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (fma.f64 x (.f64 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 x (.f64 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 -1/2 binary64))
(pow.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 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 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 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 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 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))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 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))))
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(.f64 (fma.f64 x (.f64 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 1 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (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) (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 (pow.f64 (fma.f64 x (.f64 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 -1/2 binary64)) (pow.f64 (fma.f64 x (.f64 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 -1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 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)))) (.f64 (.f64 x x) (.f64 (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)) (.f64 x (.f64 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 (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (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) (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 (.f64 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))))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 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)))) (.f64 (.f64 x x) (.f64 (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)) (.f64 x (.f64 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))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (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) (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 (.f64 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 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (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) (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 x (.f64 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 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (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) (fma.f64 (.f64 x 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 x (.f64 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)))
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(exp.f64 (neg.f64 (.f64 (log1p.f64 (.f64 x (.f64 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 0 binary64) (neg.f64 (fma.f64 x (.f64 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 0 binary64) (/.f64 (fma.f64 x (.f64 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)))
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(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 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)))))) (/.f64 (.f64 (.f64 x x) (.f64 (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)) (.f64 x (.f64 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)))))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 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 binary64) (.f64 x (.f64 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 x (.f64 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 x (.f64 x (.f64 x (.f64 x (fma.f64 (.f64 x 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 (.f64 x 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 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))
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(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/576 binary64))) (.f64 (fma.f64 (.f64 x 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))))
(/.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 x) (.f64 (.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 x) (.f64 (.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/576 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (.f64 (.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 x) (.f64 (.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 (.f64 x 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 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (fma.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))) (.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))))) (+.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 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 x) (.f64 (.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 binary64) (+.f64 #s(literal 1/576 binary64) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64))) (.f64 (.f64 x x) #s(literal 1/17280 binary64))))))
(.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/576 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x 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))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (.f64 x x) (.f64 (.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 x) (.f64 (.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/576 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))))
(.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal 1/720 binary64)))))

simplify409.0ms (5.1%)

Memory

-0.2MiB live, 445.8MiB allocated

Algorithm

1×	egg-herbie

Rules

10 922×	`lower-fma.f64`
10 922×	`lower-fma.f32`
3 384×	`lower-*.f64`
3 384×	`lower-*.f32`
2 340×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	1606
1	345	1564
2	825	1556
3	2123	1548
4	5748	1548
0	8309	1444

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 215

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))))))
(/ 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))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (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))
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))))
(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
(+ 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)))))
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 (* 1/12 (pow x 4)))
(+ 2 (* 1/12 (pow x 4)))
(+ 2 (* 1/12 (pow x 4)))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (* 2 (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/12 (* 2 (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/12 (* 2 (/ 1 (pow x 4)))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (* 2 (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/12 (* 2 (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/12 (* 2 (/ 1 (pow x 4)))))
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
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)))))

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 (.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 x (.f64 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 720 binary64) (/.f64 #s(literal -21600 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 388800 binary64) (.f64 x (.f64 x (.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 720 binary64) (/.f64 #s(literal -21600 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 388800 binary64) (.f64 x (.f64 x (.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))))
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 x (.f64 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 x (*.f64 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 #s(literal 1/720 binary64) (.f64 x (.f64 x x)))))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(fma.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (.f64 (.f64 x (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(fma.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 x (.f64 x x))) (fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
(* 1/720 (pow x 6))
(.f64 (.f64 x x) (.f64 x (.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x x)))))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(fma.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (.f64 (.f64 x (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(fma.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 x (.f64 x x))) (fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1/2 binary64) 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)
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(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(* 1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/720 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(* 1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/720 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))

eval141.0ms (1.8%)

Memory: 33.9MiB live, 343.9MiB allocated
Compiler: Compiled 31 640 to 2 203 computations (93% saved)

prune102.0ms (1.3%)

Memory

-8.9MiB live, 349.3MiB allocated

Pruning

25 alts after pruning (19 fresh and 6 done)

	Pruned	Kept	Total
New	1 063	15	1 078
Fresh	3	4	7
Picked	4	1	5
Done	0	5	5
Total	1 070	25	1 095

Accuracy

100.0%

Counts

1 095 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	55.2%	(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
▶	25.3%	(/.f64 (/.f64 #s(literal 2 binary64) x) x)
	38.7%	(/.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))))
	40.2%	(/.f64 #s(literal 720 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))
	36.2%	(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (*.f64 x x))))
	63.9%	(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x (.f64 x (-.f64 (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/144 binary64))) x))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)))
✓	88.5%	(/.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)))
✓	78.2%	(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
	56.8%	(/.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))) #s(literal -16 binary64)) (.f64 (fma.f64 x x #s(literal -2 binary64)) (fma.f64 (.f64 x x) (*.f64 x x) #s(literal 4 binary64)))))
▶	36.6%	(/.f64 #s(literal 2 binary64) (.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)))
	36.2%	(/.f64 #s(literal 2 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64))))
✓	26.3%	(/.f64 #s(literal 2 binary64) (*.f64 x x))
▶	92.6%	(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (fma.f64 (.f64 x 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)))
	92.6%	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x (.f64 x (fma.f64 (.f64 x 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))))
	92.6%	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/720 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
▶	92.6%	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
	59.0%	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (/.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 x) (.f64 (.f64 x x) #s(literal 1/518400 binary64)) #s(literal 1/576 binary64)) (.f64 (.f64 x x) #s(literal 1/17280 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
	69.9%	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/576 binary64)) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
▶	92.6%	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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)))
	61.1%	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (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)))
	40.3%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))))
	40.2%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x x))))))
✓	100.0%	(/.f64 #s(literal 1 binary64) (cosh.f64 x))
	36.2%	(.f64 (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal 12 binary64))
✓	55.2%	#s(literal 1 binary64)

Compiler

Compiled 869 to 455 computations (47.6% saved)

simplify122.0ms (1.5%)

Memory

-8.0MiB live, 71.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓	cost-diff	0	(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (fma.f64 (.f64 x 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))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (fma.f64 (.f64 x 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)))
✓	cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
✓	cost-diff	0	(fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) x #s(literal 1/2 binary64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(fma.f64 (.f64 x x) (fma.f64 (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) x #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 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
✓	cost-diff	0	(.f64 (.f64 x x) #s(literal 1/12 binary64))
✓	cost-diff	0	(fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x)
✓	cost-diff	0	(.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)))
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) x)
✓	cost-diff	384	(/.f64 (/.f64 #s(literal 2 binary64) x) x)
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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))))

Rules

998×	`lower-fma.f32`
986×	`lower-fma.f64`
648×	`lower-*.f32`
638×	`lower-*.f64`
412×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	295
0	64	271
1	144	268
2	320	268
3	651	268
4	1254	268
5	1431	268
6	1519	268
7	1562	268
8	1562	268
0	1562	265

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize146.0ms (1.8%)

Memory

8.9MiB live, 222.9MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
✓	accuracy	99.6%	(*.f64 x #s(literal 1/720 binary64))
✓	accuracy	99.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
✓	accuracy	98.9%	(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓	accuracy	99.9%	(fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) x #s(literal 1/2 binary64))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
✓	accuracy	99.6%	(.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))
✓	accuracy	99.6%	(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
✓	accuracy	99.9%	(fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x)
✓	accuracy	99.9%	(.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 1/12 binary64))
✓	accuracy	99.7%	(/.f64 #s(literal 2 binary64) (.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)))
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) x)
✓	accuracy	99.8%	(/.f64 (/.f64 #s(literal 2 binary64) x) x)
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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	99.7%	(/.f64 #s(literal 1 binary64) (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	99.6%	(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))

Samples

85.0ms

256×

valid

Compiler

Compiled 332 to 42 computations (87.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-div: 26.0ms (39.4% of total)

ival-mult: 19.0ms (28.8% of total)

ival-add: 10.0ms (15.2% of total)

const: 10.0ms (15.2% of total)

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

exact: 0.0ms (0% of total)

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

series13.0ms (0.2%)

Memory

-18.0MiB live, 20.6MiB allocated

Counts

22 → 264

Calls

Call 1

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

Outputs
#<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 (* (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 (/ 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 (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 (pow x 2))>
#<alt (/ (+ 2 (* -1/6 (pow x 2))) (pow x 2))>
#<alt (/ (+ 2 (* (pow x 2) (- (* 1/72 (pow x 2)) 1/6))) (pow x 2))>
#<alt (/ (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/72 (* -1/864 (pow x 2)))) 1/6))) (pow x 2))>
#<alt (/ 24 (pow x 4))>
#<alt (/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 24 (/ 3456 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 24 (/ 3456 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 41472 (/ 1 (pow x 6))))) (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 24 (/ 3456 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 24 (/ 3456 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 41472 (/ 1 (pow x 6))))) (pow x 4))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (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))))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (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))))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<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 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 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 (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 (/ 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 (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<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 2>
#<alt (+ 2 (* -1/6 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))>
#<alt (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/4320 (pow x 2)))) 1/6)))>
#<alt (/ 720 (pow x 4))>
#<alt (/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 3888000 (/ 1 (pow x 6))))) (pow x 4))>
#<alt (/ 720 (pow x 4))>
#<alt (/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 3888000 (/ 1 (pow x 6))))) (pow x 4))>
#<alt (* 1/24 x)>
#<alt (* x (+ 1/24 (* 1/720 (pow x 2))))>
#<alt (* x (+ 1/24 (* 1/720 (pow x 2))))>
#<alt (* x (+ 1/24 (* 1/720 (pow x 2))))>
#<alt (* 1/720 (pow x 3))>
#<alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* 1/720 (pow x 3))>
#<alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<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)))))>

Calls

66 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(/ 1 (/ 1 (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)))
3.0ms	x	@	-inf	(* x (+ (* (* x x) 1/720) 1/24))
0.0ms	x	@	inf	(/ 2 (* x (+ (* x (* (* x x) 1/12)) x)))
0.0ms	x	@	inf	(* x (+ (* (* x x) 1/720) 1/24))
0.0ms	x	@	0	(/ 1 (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2))

rewrite354.0ms (4.4%)

Memory

7.7MiB live, 520.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 824×	`lower-fma.f32`
4 812×	`lower-fma.f64`
4 498×	`lower-/.f32`
4 482×	`lower-/.f64`
4 138×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	238
0	64	214
1	323	209
2	1651	209
0	8334	206

Stop Event

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

Counts

22 → 1 056

Calls

Call 1

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

Outputs
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))
(+.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))
(+.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64)))) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64))))) (.f64 (.f64 x x) #s(literal 1/24 binary64)))
(exp.f64 (log.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log.f64 (fma.f64 (.f64 x 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) (neg.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))
(-.f64 (/.f64 (.f64 (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)) (.f64 (.f64 x x) (.f64 x x)))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 x 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 (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)) (.f64 (.f64 x x) (.f64 x x)))) (fma.f64 (.f64 x 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 1/4 binary64) (fma.f64 (.f64 x 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 (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)) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1 binary64) (fma.f64 (.f64 x 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 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) (/.f64 (.f64 (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)) (.f64 (.f64 x x) (.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 x 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 x (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64)))) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 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))
(fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64))) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(fma.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(fma.f64 x (/.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) (/.f64 #s(literal 1 binary64) x)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(fma.f64 x (/.f64 (.f64 x #s(literal 1/720 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (.f64 x 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) (.f64 (.f64 x x) #s(literal 1/720 binary64)) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (.f64 x x) (/.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(fma.f64 (.f64 x x) (/.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 1 binary64)) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (.f64 x x) (/.f64 (.f64 x #s(literal 1/720 binary64)) (/.f64 #s(literal 1 binary64) x)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/720 binary64) (.f64 (.f64 x x) (.f64 x x)) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/720 binary64) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 x x))) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) x #s(literal 1/2 binary64))
(fma.f64 (.f64 x #s(literal 1/720 binary64)) (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (/.f64 #s(literal -1 binary64) (.f64 x x))) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) (/.f64 #s(literal -1 binary64) (.f64 x x))) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (.f64 x (neg.f64 x)) (/.f64 #s(literal 1/720 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/720 binary64)) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 x #s(literal 1/720 binary64)) #s(literal 1 binary64)) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64))) x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/720 binary64) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 1 binary64)) (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/720 binary64) (/.f64 (.f64 x x) (/.f64 #s(literal -1 binary64) (.f64 x x))) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (.f64 x #s(literal 1/720 binary64)) (/.f64 #s(literal -1 binary64) (.f64 x x))) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/720 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1 binary64)) (.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1 binary64) x)) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (/.f64 #s(literal 1 binary64) x)) x #s(literal 1/2 binary64))
(fma.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1 binary64)) (.f64 x (neg.f64 x)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/373248000 binary64) #s(literal 1/13824 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/518400 binary64) #s(literal 1/576 binary64)) (.f64 (.f64 x x) #s(literal 1/17280 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/373248000 binary64) #s(literal 1/13824 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/518400 binary64) #s(literal 1/576 binary64)) (.f64 (*.f64 x x) #s(literal 1/17280 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/373248000 binary64) #s(literal 1/13824 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/518400 binary64) #s(literal 1/576 binary64)) (.f64 (.f64 x x) #s(literal 1/17280 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/373248000 binary64) #s(literal 1/13824 binary64)) (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/518400 binary64) #s(literal 1/576 binary64)) (.f64 (.f64 x x) #s(literal 1/17280 binary64)))) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)) (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 1 binary64)) (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) (/.f64 #s(literal 1 binary64) x)) x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (.f64 x #s(literal 1/720 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x))) x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (.f64 x #s(literal 1/720 binary64)) #s(literal 1 binary64)) (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (.f64 x #s(literal 1/720 binary64)) (/.f64 #s(literal 1 binary64) x)) (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) x)) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (.f64 x #s(literal 1/720 binary64)) #s(literal -1 binary64)) (/.f64 x (/.f64 #s(literal -1 binary64) (.f64 x x))) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal -1 binary64)) (.f64 x (neg.f64 x)) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(neg.f64 (neg.f64 (fma.f64 (.f64 x 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 #s(literal 1 binary64) (fma.f64 (.f64 x 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 #s(literal 1/4 binary64) (-.f64 (.f64 (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)) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 x (.f64 x #s(literal 1/2 binary64)))))) (fma.f64 (.f64 (.f64 x x) (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)) (.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 (.f64 x x) (*.f64 x x)))) #s(literal 1/8 binary64))))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) (.f64 (fma.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)) x)))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/373248000 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) (fma.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64))) (-.f64 (.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x #s(literal 1/24 binary64))) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64))) (*.f64 x #s(literal 1/24 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64)))) (.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x #s(literal 1/24 binary64)))) (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64))) (.f64 x #s(literal 1/24 binary64))))
(/.f64 (.f64 x (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/373248000 binary64) #s(literal 1/13824 binary64))) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/518400 binary64) #s(literal 1/576 binary64)) (.f64 (*.f64 x x) #s(literal 1/17280 binary64))))
(/.f64 (.f64 x (fma.f64 (.f64 (.f64 x 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 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/373248000 binary64) #s(literal 1/13824 binary64)) x) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/518400 binary64) #s(literal 1/576 binary64)) (.f64 (*.f64 x x) #s(literal 1/17280 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)) x) (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 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/373248000 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)))) (neg.f64 (fma.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64))) (-.f64 (.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x #s(literal 1/24 binary64))) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64))) (*.f64 x #s(literal 1/24 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64)))) (.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x #s(literal 1/24 binary64))))) (neg.f64 (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64))) (.f64 x #s(literal 1/24 binary64)))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/373248000 binary64) #s(literal 1/13824 binary64)))) (neg.f64 (-.f64 (fma.f64 (.f64 (.f64 x 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 (.f64 x (fma.f64 (.f64 (.f64 x 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 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/373248000 binary64) #s(literal 1/13824 binary64)) x)) (neg.f64 (-.f64 (fma.f64 (.f64 (.f64 x 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 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)) x)) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/373248000 binary64)))) (fma.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x #s(literal 1/24 binary64)) (-.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64)))) (.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x (.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))
(.f64 x (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)) x)
(*.f64 x #s(literal 1/720 binary64))
(*.f64 #s(literal 1/720 binary64) 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 (.f64 x 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 (.f64 x 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 #s(literal 1 binary64) (.f64 (.f64 x 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))
(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 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/576 binary64) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/518400 binary64)) (.f64 (.f64 x x) #s(literal 1/17280 binary64)))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))) #s(literal 1/373248000 binary64) #s(literal 1/13824 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))) (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/518400 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/373248000 binary64) #s(literal 1/13824 binary64)) (-.f64 (fma.f64 (.f64 (.f64 x 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 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/373248000 binary64) #s(literal 1/13824 binary64)) (+.f64 #s(literal 1/576 binary64) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/518400 binary64)) (.f64 (*.f64 x x) #s(literal 1/17280 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 x 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 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/373248000 binary64) #s(literal 1/13824 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 (.f64 x 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 (.f64 x (.f64 x x)) (.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 (.f64 x x) (.f64 x x)) #s(literal 1/518400 binary64)) (.f64 (*.f64 x x) #s(literal 1/17280 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x 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 (.f64 x 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 (.f64 x 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 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/373248000 binary64) #s(literal 1/13824 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (.f64 (.f64 x 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 (.f64 x 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 (.f64 x 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 (.f64 x 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 (.f64 x 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 (.f64 x 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 (.f64 x 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 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/373248000 binary64) #s(literal 1/13824 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 x 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 (.f64 x 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))))

simplify421.0ms (5.2%)

Memory

-10.4MiB live, 390.0MiB allocated

Algorithm

1×	egg-herbie

Rules

12 370×	`lower-fma.f64`
12 370×	`lower-fma.f32`
3 798×	`lower-*.f64`
3 798×	`lower-*.f32`
2 692×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	146	2214
1	399	2178
2	972	2178
3	2638	2178
4	5092	2178
0	8157	2019

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 263

Calls

Call 1

Inputs
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 (* (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)
(/ 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))
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 (pow x 2))
(/ (+ 2 (* -1/6 (pow x 2))) (pow x 2))
(/ (+ 2 (* (pow x 2) (- (* 1/72 (pow x 2)) 1/6))) (pow x 2))
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/72 (* -1/864 (pow x 2)))) 1/6))) (pow x 2))
(/ 24 (pow x 4))
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 24 (/ 3456 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 24 (/ 3456 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 41472 (/ 1 (pow x 6))))) (pow x 4))
(/ 24 (pow x 4))
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 24 (/ 3456 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 24 (/ 3456 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 41472 (/ 1 (pow x 6))))) (pow x 4))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* 1/12 (pow x 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))))
(* (pow x 4) (+ 1/12 (/ 1 (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))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
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))
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))))))
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))))))
(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)))
(/ 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))))))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
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)))))
2
(+ 2 (* -1/6 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/4320 (pow x 2)))) 1/6)))
(/ 720 (pow x 4))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 3888000 (/ 1 (pow x 6))))) (pow x 4))
(/ 720 (pow x 4))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 3888000 (/ 1 (pow x 6))))) (pow x 4))
(* 1/24 x)
(* x (+ 1/24 (* 1/720 (pow x 2))))
(* x (+ 1/24 (* 1/720 (pow x 2))))
(* x (+ 1/24 (* 1/720 (pow x 2))))
(* 1/720 (pow x 3))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 3))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
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)))))

Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/24 (pow x 2)))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))
(fma.f64 x (.f64 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 x (.f64 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 x (.f64 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 x (.f64 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 x (.f64 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 x (.f64 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 x (.f64 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 x (.f64 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 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 x (.f64 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 (.f64 x 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 (.f64 x 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 21600 binary64) (.f64 x x))) (/.f64 #s(literal 388800 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 x x) (.f64 (.f64 x 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 21600 binary64) (.f64 x x))) (/.f64 #s(literal 388800 binary64) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 #s(literal -4406400 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))
(/ 720 (pow x 6))
(/.f64 #s(literal 720 binary64) (.f64 (.f64 x x) (.f64 (.f64 x 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 (.f64 x 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 21600 binary64) (.f64 x x))) (/.f64 #s(literal 388800 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 x x) (.f64 (.f64 x 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 21600 binary64) (.f64 x x))) (/.f64 #s(literal 388800 binary64) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 #s(literal -4406400 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x 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) (+ 1/2 (* 1/24 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #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 x (.f64 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 #s(literal 1/720 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 (.f64 x x) (*.f64 x x)))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 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 #s(literal 1/720 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 (.f64 x x) (*.f64 x x)))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 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))
(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)
(/ 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))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ (+ 2 (* -1/6 (pow x 2))) (pow x 2))
(/.f64 (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64)) (.f64 x x))
(/ (+ 2 (* (pow x 2) (- (* 1/72 (pow x 2)) 1/6))) (pow x 2))
(/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/72 binary64)) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (*.f64 x x))
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/72 (* -1/864 (pow x 2)))) 1/6))) (pow x 2))
(/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/864 binary64) #s(literal 1/72 binary64))) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (.f64 x x))
(/ 24 (pow x 4))
(/.f64 #s(literal 24 binary64) (.f64 (.f64 x 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 (.f64 x x) (.f64 x x)))
(/ (- (+ 24 (/ 3456 (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 3456 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 x x) (*.f64 x x)))
(/ (- (+ 24 (/ 3456 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 41472 (/ 1 (pow x 6))))) (pow x 4))
(/.f64 (-.f64 (/.f64 #s(literal -288 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal 41472 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 #s(literal 24 binary64) (/.f64 #s(literal 3456 binary64) (.f64 (.f64 x x) (.f64 x x)))))) (.f64 (.f64 x x) (.f64 x x)))
(/ 24 (pow x 4))
(/.f64 #s(literal 24 binary64) (.f64 (.f64 x 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 (.f64 x x) (.f64 x x)))
(/ (- (+ 24 (/ 3456 (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 3456 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 x x) (*.f64 x x)))
(/ (- (+ 24 (/ 3456 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 41472 (/ 1 (pow x 6))))) (pow x 4))
(/.f64 (-.f64 (/.f64 #s(literal -288 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal 41472 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 #s(literal 24 binary64) (/.f64 #s(literal 3456 binary64) (.f64 (.f64 x x) (.f64 x x)))))) (.f64 (.f64 x x) (.f64 x x)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
(* 1/12 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
(* 1/12 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x)
(* x (+ 1 (* 1/12 (pow x 2))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x)
(* x (+ 1 (* 1/12 (pow x 2))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x)
(* 1/12 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x)
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x)
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x)
(* 1/12 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x)
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x)
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x)
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
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(+ 1/24 (* 1/720 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(+ 1/24 (* 1/720 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(* 1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/720 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(* 1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/720 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))

eval286.0ms (3.6%)

Memory: 5.5MiB live, 278.9MiB allocated
Compiler: Compiled 51 014 to 3 166 computations (93.8% saved)

prune247.0ms (3.1%)

Memory

4.7MiB live, 240.1MiB allocated

Pruning

32 alts after pruning (24 fresh and 8 done)

	Pruned	Kept	Total
New	1 607	12	1 619
Fresh	2	12	14
Picked	3	2	5
Done	0	6	6
Total	1 612	32	1 644

Accuracy

100.0%

Counts

1 644 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	55.2%	(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
✓	25.3%	(/.f64 (/.f64 #s(literal 2 binary64) x) x)
	38.7%	(/.f64 (-.f64 #s(literal 720 binary64) (/.f64 #s(literal 21600 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))
	40.2%	(/.f64 #s(literal 720 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))
	40.2%	(/.f64 #s(literal 720 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x))))
	36.2%	(/.f64 #s(literal 24 binary64) (.f64 (.f64 x x) (*.f64 x x)))
	36.2%	(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (*.f64 x x))))
	63.9%	(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x (.f64 x (-.f64 (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/144 binary64))) x))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)))
✓	88.5%	(/.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)))
✓	78.2%	(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
	56.8%	(/.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))) #s(literal -16 binary64)) (.f64 (fma.f64 x x #s(literal -2 binary64)) (fma.f64 (.f64 x x) (*.f64 x x) #s(literal 4 binary64)))))
✓	36.6%	(/.f64 #s(literal 2 binary64) (.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)))
	36.2%	(/.f64 #s(literal 2 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64))))
✓	26.3%	(/.f64 #s(literal 2 binary64) (*.f64 x x))
	92.6%	(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 x 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)))
	92.6%	(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
	92.6%	(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))) (fma.f64 (.f64 x 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)))
	92.6%	(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 (neg.f64 (fma.f64 (.f64 x 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) x)) #s(literal 1 binary64)))
	92.6%	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x (.f64 x (fma.f64 (.f64 x 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))))
	92.6%	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/720 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
	92.6%	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
	70.3%	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x (/.f64 (fma.f64 (.f64 (.f64 x 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)))) x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
	59.0%	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (/.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 x) (.f64 (.f64 x x) #s(literal 1/518400 binary64)) #s(literal 1/576 binary64)) (.f64 (.f64 x x) #s(literal 1/17280 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
	92.1%	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 720 binary64) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 1 binary64)))
	61.1%	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (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)))
	40.3%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 (.f64 x x) (*.f64 x x))))
	40.6%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))))
	40.3%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))))
	40.2%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x x))))))
✓	100.0%	(/.f64 #s(literal 1 binary64) (cosh.f64 x))
	36.2%	(.f64 (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal 12 binary64))
✓	55.2%	#s(literal 1 binary64)

Compiler

Compiled 1 356 to 516 computations (61.9% saved)

regimes59.0ms (0.7%)

Memory

9.2MiB live, 46.3MiB allocated

Counts

45 → 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)
(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 #s(literal 24 binary64) (.f64 (.f64 x x) (*.f64 x x)))
(.f64 (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal 12 binary64))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64))))
(/.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) (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 x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)))
(/.f64 #s(literal 720 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x))))
(/.f64 #s(literal 720 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))
(/.f64 #s(literal 2 binary64) (fma.f64 x x (fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/12 binary64) (fma.f64 x x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x x))))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 (.f64 x x) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x 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 (.f64 x 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 (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) x #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 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/720 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x (.f64 x (fma.f64 (.f64 x 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 (+.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 (-.f64 #s(literal 720 binary64) (/.f64 #s(literal 21600 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 720 binary64) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 x 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (fma.f64 (.f64 x 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 (.f64 x x) (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/576 binary64)) (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 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x (/.f64 (fma.f64 (.f64 (.f64 x 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)))) x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))) (fma.f64 (.f64 x 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 (.f64 x (.f64 x (-.f64 (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/144 binary64))) x))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 (neg.f64 (fma.f64 (.f64 x 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) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))) #s(literal -16 binary64)) (.f64 (fma.f64 x x #s(literal -2 binary64)) (fma.f64 (.f64 x x) (*.f64 x x) #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (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 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (/.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 x) (.f64 (.f64 x x) #s(literal 1/518400 binary64)) #s(literal 1/576 binary64)) (.f64 (.f64 x x) #s(literal 1/17280 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

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

Calls

3 calls:

38.0ms	x
10.0ms	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
9.0ms	(+.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)

regimes55.0ms (0.7%)

Memory

15.9MiB live, 55.0MiB allocated

Counts

43 → 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)
(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 #s(literal 24 binary64) (.f64 (.f64 x x) (*.f64 x x)))
(.f64 (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal 12 binary64))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64))))
(/.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) (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 x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)))
(/.f64 #s(literal 720 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x))))
(/.f64 #s(literal 720 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))
(/.f64 #s(literal 2 binary64) (fma.f64 x x (fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/12 binary64) (fma.f64 x x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x x))))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 (.f64 x x) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x 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 (.f64 x 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 (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) x #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 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/720 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x (.f64 x (fma.f64 (.f64 x 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 (+.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 (-.f64 #s(literal 720 binary64) (/.f64 #s(literal 21600 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 720 binary64) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 x 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (fma.f64 (.f64 x 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 (.f64 x x) (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/576 binary64)) (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 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x (/.f64 (fma.f64 (.f64 (.f64 x 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)))) x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))) (fma.f64 (.f64 x 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 (.f64 x (.f64 x (-.f64 (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/144 binary64))) x))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 (neg.f64 (fma.f64 (.f64 x 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) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))) #s(literal -16 binary64)) (.f64 (fma.f64 x x #s(literal -2 binary64)) (fma.f64 (.f64 x x) (*.f64 x x) #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (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 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (/.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 x) (.f64 (.f64 x x) #s(literal 1/518400 binary64)) #s(literal 1/576 binary64)) (.f64 (.f64 x x) #s(literal 1/17280 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))

Outputs

(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (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 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))

Calls

3 calls:

33.0ms	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
11.0ms	x
9.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
94.7%	2	`x`
92.6%	1	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
92.6%	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes43.0ms (0.5%)

Memory

-14.0MiB live, 21.4MiB allocated

Counts

41 → 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)
(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 #s(literal 24 binary64) (.f64 (.f64 x x) (*.f64 x x)))
(.f64 (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal 12 binary64))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64))))
(/.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) (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 x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)))
(/.f64 #s(literal 720 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x))))
(/.f64 #s(literal 720 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))
(/.f64 #s(literal 2 binary64) (fma.f64 x x (fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/12 binary64) (fma.f64 x x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x x))))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 (.f64 x x) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x 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 (.f64 x 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 (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) x #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 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/720 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x (.f64 x (fma.f64 (.f64 x 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 (+.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 (-.f64 #s(literal 720 binary64) (/.f64 #s(literal 21600 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 720 binary64) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 x 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (fma.f64 (.f64 x 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 (.f64 x x) (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/576 binary64)) (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 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x (/.f64 (fma.f64 (.f64 (.f64 x 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)))) x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))) (fma.f64 (.f64 x 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 (.f64 x (.f64 x (-.f64 (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/144 binary64))) x))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 (neg.f64 (fma.f64 (.f64 x 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) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))) #s(literal -16 binary64)) (.f64 (fma.f64 x x #s(literal -2 binary64)) (fma.f64 (.f64 x x) (*.f64 x x) #s(literal 4 binary64)))))

Outputs

(/.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -16 binary64)) (*.f64 (fma.f64 x x #s(literal -2 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 4 binary64)))))

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

Calls

1 calls:

42.0ms

Results

Accuracy	Segments	Branch
94.7%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes54.0ms (0.7%)

Memory

20.3MiB live, 59.5MiB allocated

Counts

40 → 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)
(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 #s(literal 24 binary64) (.f64 (.f64 x x) (*.f64 x x)))
(.f64 (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal 12 binary64))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64))))
(/.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) (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 x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)))
(/.f64 #s(literal 720 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x))))
(/.f64 #s(literal 720 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))
(/.f64 #s(literal 2 binary64) (fma.f64 x x (fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/12 binary64) (fma.f64 x x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x x))))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 (.f64 x x) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x 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 (.f64 x 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 (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) x #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 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/720 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x (.f64 x (fma.f64 (.f64 x 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 (+.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 (-.f64 #s(literal 720 binary64) (/.f64 #s(literal 21600 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 720 binary64) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 x 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (fma.f64 (.f64 x 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 (.f64 x x) (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/576 binary64)) (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 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x (/.f64 (fma.f64 (.f64 (.f64 x 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)))) x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))) (fma.f64 (.f64 x 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 (.f64 x (.f64 x (-.f64 (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/144 binary64))) x))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 (neg.f64 (fma.f64 (.f64 x 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) x)) #s(literal 1 binary64)))

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

Calls

3 calls:

33.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
11.0ms	x
9.0ms	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Results

Accuracy	Segments	Branch
92.6%	1	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
92.6%	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
92.6%	1	`x`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes18.0ms (0.2%)

Memory

-2.3MiB live, 37.0MiB allocated

Counts

22 → 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)
(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 #s(literal 24 binary64) (.f64 (.f64 x x) (*.f64 x x)))
(.f64 (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal 12 binary64))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64))))
(/.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) (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 x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)))
(/.f64 #s(literal 720 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x))))
(/.f64 #s(literal 720 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))
(/.f64 #s(literal 2 binary64) (fma.f64 x x (fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/12 binary64) (fma.f64 x x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x x))))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 (.f64 x x) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))))

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
92.6%	2	`x`
92.6%	2	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
92.6%	2	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes35.0ms (0.4%)

Memory

-14.7MiB live, 30.2MiB allocated

Counts

19 → 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)
(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 #s(literal 24 binary64) (.f64 (.f64 x x) (*.f64 x x)))
(.f64 (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal 12 binary64))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64))))
(/.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) (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 x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)))
(/.f64 #s(literal 720 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x))))
(/.f64 #s(literal 720 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))
(/.f64 #s(literal 2 binary64) (fma.f64 x x (fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/12 binary64) (fma.f64 x x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x x))))))

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

Calls

3 calls:

23.0ms	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
6.0ms	x
4.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
92.6%	2	`x`
92.6%	2	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
92.6%	2	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes36.0ms (0.4%)

Memory

-16.1MiB live, 23.5MiB allocated

Counts

14 → 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)
(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 #s(literal 24 binary64) (.f64 (.f64 x x) (*.f64 x x)))
(.f64 (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal 12 binary64))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64))))
(/.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) (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 x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)))

Outputs
(/.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)))

Calls

3 calls:

4.0ms	x
4.0ms	(/.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
88.5%	1	`x`
88.5%	1	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
88.5%	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes11.0ms (0.1%)

Memory

19.1MiB live, 19.1MiB allocated

Counts

11 → 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)
(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 #s(literal 24 binary64) (.f64 (.f64 x x) (*.f64 x x)))
(.f64 (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal 12 binary64))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64))))
(/.f64 #s(literal 2 binary64) (.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)))

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

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
88.5%	2	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
88.5%	2	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
88.5%	2	`x`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes10.0ms (0.1%)

Memory

17.9MiB live, 17.9MiB 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)
(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 #s(literal 24 binary64) (.f64 (.f64 x x) (*.f64 x x)))
(.f64 (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal 12 binary64))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64))))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
88.5%	2	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
88.5%	2	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
88.5%	2	`x`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes18.0ms (0.2%)

Memory

-26.9MiB live, 12.6MiB allocated

Counts

5 → 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)

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

Calls

3 calls:

14.0ms	x
2.0ms	(/.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
78.2%	1	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
78.2%	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
78.2%	1	`x`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes5.0ms (0.1%)

Memory

10.3MiB live, 10.3MiB 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
2.0ms	(/.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
78.2%	2	`x`
78.2%	2	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
78.2%	2	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes4.0ms (0.1%)

Memory

8.8MiB live, 8.8MiB allocated

Accuracy

Total -0.4b remaining (-1.2%)

Threshold costs -0.4b (-1.2%)

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:

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

Results

Accuracy	Segments	Branch
55.2%	1	`x`
55.2%	1	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
55.2%	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch2.0ms (0%)

Memory

3.3MiB live, 3.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
1.0ms	9.57797987003186e+74	9.387075162073916e+79

Samples

1.0ms

16×

valid

Compiler

Compiled 68 to 35 computations (48.5% saved)

Precisions

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

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

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

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

ival-add: 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)

bsearch69.0ms (0.9%)

Memory

-28.7MiB live, 10.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
67.0ms	1.3137213018027453e+51	1.565421547282838e+54

Samples

6.0ms

128×

valid

Compiler

Compiled 404 to 187 computations (53.7% saved)

Precisions

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

ival-exp: 2.0ms (54.3% of total)

ival-div: 1.0ms (27.1% of total)

ival-add: 1.0ms (27.1% of total)

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

exact: 0.0ms (0% of total)

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

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

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.000000044102315	+inf

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	2.000000044102315	+inf

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch14.0ms (0.2%)

Memory

7.4MiB live, 7.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.0002100055121570376	20000.38020972167

Samples

8.0ms

144×

valid

Compiler

Compiled 210 to 146 computations (30.5% saved)

Precisions

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

ival-exp: 3.0ms (58% of total)

ival-div: 1.0ms (19.3% of total)

ival-add: 1.0ms (19.3% of total)

ival-neg: 1.0ms (19.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch14.0ms (0.2%)

Memory

7.6MiB live, 7.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.0002100055121570376	20000.38020972167

Samples

8.0ms

144×

valid

Compiler

Compiled 183 to 128 computations (30.1% saved)

Precisions

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

ival-exp: 3.0ms (58.3% of total)

ival-div: 1.0ms (19.4% of total)

ival-add: 1.0ms (19.4% of total)

ival-neg: 1.0ms (19.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.000000044102315	+inf

Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify8.0ms (0.1%)

Memory

6.7MiB live, 6.7MiB allocated

Algorithm

1×	egg-herbie

Rules

24×	`*-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	76	267
1	94	267
2	96	267
3	97	267

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(if (<=.f64 x #s(literal 999999999999999926539781176481198923508803215199467887262646419780362305536 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (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 24 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(if (<=.f64 x #s(literal 2350000000000000116992028963241413035065720866603008 binary64)) (/.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))) #s(literal -16 binary64)) (.f64 (fma.f64 x x #s(literal -2 binary64)) (fma.f64 (.f64 x x) (.f64 x x) #s(literal 4 binary64))))) (/.f64 #s(literal 720 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x 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)))
(if (<=.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 4 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))))
(if (<=.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 4 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 720 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x 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)))
(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 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x))))
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (.f64 x x)))))
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
(if (<=.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 4 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))
(if (<=.f64 x #s(literal 999999999999999926539781176481198923508803215199467887262646419780362305536 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (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 24 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(if (<=.f64 x #s(literal 2350000000000000116992028963241413035065720866603008 binary64)) (/.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))) #s(literal -16 binary64)) (.f64 (fma.f64 x x #s(literal -2 binary64)) (fma.f64 (.f64 x x) (.f64 x x) #s(literal 4 binary64))))) (/.f64 #s(literal 720 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x 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)))
(if (<=.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 4 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))))
(if (<=.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 4 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 720 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x 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)))
(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 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x))))
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (.f64 x x)))))
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
(if (<=.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 4 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)

soundness1.6s (20.2%)

Memory

0.1MiB live, 933.1MiB allocated

Rules

15 580×	`lower-fma.f64`
15 580×	`lower-fma.f32`
12 370×	`lower-fma.f64`
12 370×	`lower-fma.f32`
10 922×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	62
0	28	62
1	123	59
2	799	59
3	7913	59
0	8617	56
0	25	169
0	49	146
1	229	140
2	1629	138
0	8203	137
0	7	19
0	12	15
1	42	13
2	257	13
3	2370	13
0	9064	13
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	117	942
1	314	912
2	775	912
3	2183	908
4	5845	908
0	8388	842
0	120	1606
1	345	1564
2	825	1556
3	2123	1548
4	5748	1548
0	8309	1444
0	146	2214
1	399	2178
2	972	2178
3	2638	2178
4	5092	2178
0	8157	2019

Stop Event

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

Compiler

Compiled 611 to 284 computations (53.5% saved)

preprocess87.0ms (1.1%)

Memory: 4.1MiB live, 158.2MiB allocated
Remove: (abs x)
Compiler: Compiled 564 to 174 computations (69.1% 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	25	202
0	49	179
1	105	179
2	227	171
3	414	171
4	566	171
5	585	171
6	740	171
7	747	171
8	755	171
9	756	171
0	756	170

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	25	202
0	49	179
1	105	179
2	227	171
3	414	171
4	566	171
5	585	171
6	740	171
7	747	171
8	755	171
9	756	171
0	756	170

analyze0.0ms (0%)

sample727.0ms (9.1%)

preprocess23.0ms (0.3%)

explain83.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify8.0ms (0.1%)

localize23.0ms (0.3%)

series3.0ms (0%)

rewrite309.0ms (3.8%)

simplify385.0ms (4.8%)

eval75.0ms (0.9%)

prune57.0ms (0.7%)

simplify78.0ms (1%)

localize62.0ms (0.8%)

series9.0ms (0.1%)

rewrite484.0ms (6%)

simplify366.0ms (4.6%)

eval119.0ms (1.5%)

prune78.0ms (1%)

simplify36.0ms (0.5%)

localize110.0ms (1.4%)

series9.0ms (0.1%)

rewrite575.0ms (7.2%)

simplify409.0ms (5.1%)

eval141.0ms (1.8%)

prune102.0ms (1.3%)

simplify122.0ms (1.5%)

localize146.0ms (1.8%)

series13.0ms (0.2%)

rewrite354.0ms (4.4%)

simplify421.0ms (5.2%)

eval286.0ms (3.6%)

prune247.0ms (3.1%)

regimes59.0ms (0.7%)

regimes55.0ms (0.7%)

regimes43.0ms (0.5%)

regimes54.0ms (0.7%)

regimes18.0ms (0.2%)

regimes35.0ms (0.4%)

regimes36.0ms (0.4%)

regimes11.0ms (0.1%)

regimes10.0ms (0.1%)

regimes18.0ms (0.2%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch2.0ms (0%)

bsearch69.0ms (0.9%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch14.0ms (0.2%)

bsearch14.0ms (0.2%)

bsearch0.0ms (0%)

simplify8.0ms (0.1%)

soundness1.6s (20.2%)

preprocess87.0ms (1.1%)

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

Iter	Nodes	Cost
0	25	202
0	49	179
1	105	179
2	227	171
3	414	171
4	566	171
5	585	171
6	740	171
7	747	171
8	755	171
9	756	171
0	756	170