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)

sample636.0ms (7.2%)

Memory

2.1MiB live, 859.8MiB allocated

Samples

448.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 255.0ms

ival-exp: 116.0ms (45.5% of total)

ival-div: 55.0ms (21.6% of total)

ival-add: 38.0ms (14.9% of total)

ival-neg: 33.0ms (12.9% of total)

ival-true: 6.0ms (2.4% of total)

exact: 5.0ms (2% of total)

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

Bogosity

preprocess18.0ms (0.2%)

Memory

27.4MiB live, 27.3MiB allocated

Algorithm

2×	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	12	24
1	30	24
2	59	24
3	102	24
4	139	24
5	183	24
6	211	24
7	219	24
8	225	24
9	235	24
10	243	24
0	7	8
1	14	8
2	20	8
3	24	8
4	28	8
5	34	8
6	41	8
7	45	8
8	47	8
9	48	8
0	48	8

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(/ 2 (+ (exp x) (exp (neg x))))

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

Call 2

Inputs
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp (neg x)) (exp (neg (neg x)))))
(neg (/ 2 (+ (exp (neg x)) (exp (neg (neg x))))))

Outputs
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp (neg x)) (exp (neg (neg x)))))
(/ 2 (+ (exp x) (exp (neg x))))
(neg (/ 2 (+ (exp (neg x)) (exp (neg (neg x))))))
(/ -2 (+ (exp x) (exp (neg x))))

Symmetry

(abs x)

explain91.0ms (1%)

Memory

9.0MiB live, 160.9MiB 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

35.0ms

512×

valid

Compiler

Compiled 68 to 32 computations (52.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-div: 9.0ms (41.8% of total)

ival-exp: 7.0ms (32.5% of total)

ival-add: 2.0ms (9.3% of total)

ival-neg: 2.0ms (9.3% 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

1.3MiB live, 1.3MiB 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)

simplify12.0ms (0.1%)

Memory

-35.0MiB live, 7.9MiB 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×	`-lowering-.f32`
16×	`-lowering-.f64`
12×	`+-lowering-+.f64`
12×	`+-lowering-+.f32`
12×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	23
1	14	23
2	20	23
3	24	23
4	28	23
5	34	23
6	41	23
7	45	23
8	47	23
9	48	23
0	48	23

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ 2 (+ (exp x) (exp (neg x))))
2
(+ (exp x) (exp (neg x)))
(exp x)
x
(exp (neg x))
(neg x)

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

localize24.0ms (0.3%)

Memory

1.2MiB live, 40.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	100.0%	(exp.f64 (neg.f64 x))
✓	accuracy	100.0%	(exp.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: 4.0ms (45% of total)

ival-div: 2.0ms (22.5% of total)

ival-neg: 2.0ms (22.5% of total)

ival-add: 1.0ms (11.3% 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

5.5MiB live, 5.5MiB allocated

Counts

5 → 60

Calls

Call 1

Inputs
#<alt (/ 2 (+ (exp x) (exp (neg x))))>
#<alt (+ (exp x) (exp (neg x)))>
#<alt (exp x)>
#<alt (exp (neg x))>
#<alt (neg 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))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>

Calls

15 calls:

Time	Variable		Point	Expression
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	@	inf	(neg x)
0.0ms	x	@	0	(+ (exp x) (exp (neg x)))

rewrite696.0ms (7.8%)

Memory

-172.4MiB live, 407.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 044×	`/-lowering-/.f32`
5 044×	`/-lowering-/.f64`
4 012×	`-lowering-.f32`
4 012×	`-lowering-.f64`
2 444×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	37	15
2	252	15
3	2361	15
0	9050	15

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 428

Calls

Call 1

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

simplify357.0ms (4%)

Memory

26.8MiB live, 456.3MiB allocated

Algorithm

1×	egg-herbie

Rules

15 580×	`accelerator-lowering-fma.f32`
15 580×	`accelerator-lowering-fma.f64`
3 668×	`-lowering-.f32`
3 668×	`-lowering-.f64`
2 386×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	307
1	162	306
2	359	302
3	921	302
4	1406	302
5	2068	302
6	3397	302
7	4663	302
8	5970	302
9	7535	302
0	8007	280

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

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))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)

Outputs
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))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)

eval58.0ms (0.7%)

Memory: -31.2MiB live, 88.1MiB allocated
Compiler: Compiled 8 941 to 1 537 computations (82.8% saved)

prune67.0ms (0.8%)

Memory

13.8MiB live, 134.7MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	480	8	488
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	481	8	489

Accuracy

100.0%

Counts

489 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.2%	(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))
	49.1%	(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
	49.2%	(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
▶	93.3%	(/.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)))
▶	87.4%	(/.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)))
▶	76.8%	(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
▶	100.0%	(/.f64 #s(literal 1 binary64) (cosh.f64 x))
▶	49.6%	#s(literal 1 binary64)

Compiler

Compiled 166 to 104 computations (37.3% saved)

simplify284.0ms (3.2%)

Memory

6.6MiB live, 203.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Rules

5 128×	`accelerator-lowering-fma.f32`
5 128×	`accelerator-lowering-fma.f64`
1 600×	`-lowering-.f32`
1 600×	`-lowering-.f64`
640×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	152
1	68	140
2	168	140
3	295	140
4	480	140
5	539	140
6	641	140
7	769	140
8	1081	140
9	1418	140
10	1801	140
11	2219	140
12	2673	140
13	3323	140
14	3385	140
15	3427	140
16	3468	140
17	3611	140
18	3697	140
19	3701	140
20	3701	140
21	3701	140
22	3701	140
23	3705	140
0	3705	123

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ 1 (cosh x))
1
(cosh x)
x
1
(/ 2 (+ (* x x) 2))
2
(+ (* x x) 2)
x
(/ 2 (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2))
2
(+ (* x (+ (* x (* (* x x) 1/12)) x)) 2)
x
(+ (* x (* (* x x) 1/12)) x)
(* (* x x) 1/12)
(* x x)
1/12
(/ 2 (+ (* x (+ (* (* x x) (* x (+ (* x (* x 1/360)) 1/12))) x)) 2))
2
(+ (* x (+ (* (* x x) (* x (+ (* x (* x 1/360)) 1/12))) x)) 2)
x
(+ (* (* x x) (* x (+ (* x (* x 1/360)) 1/12))) x)
(* x x)
(* x (+ (* x (* x 1/360)) 1/12))
(+ (* x (* x 1/360)) 1/12)
(* x 1/360)
1/360
1/12

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

localize115.0ms (1.3%)

Memory

-3.7MiB live, 116.6MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x)
✓	accuracy	99.9%	(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
✓	accuracy	99.6%	(.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
✓	accuracy	99.6%	(*.f64 x #s(literal 1/360 binary64))
✓	accuracy	99.9%	(fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))
✓	accuracy	99.9%	(fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x)
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 1/12 binary64))
✓	accuracy	99.2%	(/.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	100.0%	(fma.f64 x x #s(literal 2 binary64))
✓	accuracy	99.8%	(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
✓	accuracy	100.0%	(cosh.f64 x)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (cosh.f64 x))

Samples

77.0ms

256×

valid

Compiler

Compiled 137 to 27 computations (80.3% saved)

Precisions

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

const: 36.0ms (56.2% of total)

ival-mult: 12.0ms (18.7% of total)

ival-div: 6.0ms (9.4% of total)

ival-add: 6.0ms (9.4% of total)

ival-cosh: 3.0ms (4.7% of total)

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

exact: 0.0ms (0% of total)

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

series14.0ms (0.2%)

Memory

12.8MiB live, 12.8MiB allocated

Counts

15 → 180

Calls

Call 1

Inputs
#<alt (/ 1 (cosh x))>
#<alt (cosh x)>
#<alt (/ 2 (+ (* x x) 2))>
#<alt (+ (* x x) 2)>
#<alt (/ 2 (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2))>
#<alt (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2)>
#<alt (+ (* x (* (* x x) 1/12)) x)>
#<alt (* (* x x) 1/12)>
#<alt (/ 2 (+ (* x (+ (* (* x x) (* x (+ (* x (* x 1/360)) 1/12))) x)) 2))>
#<alt (+ (* x (+ (* (* x x) (* x (+ (* x (* x 1/360)) 1/12))) x)) 2)>
#<alt (+ (* (* x x) (* x (+ (* x (* x 1/360)) 1/12))) x)>
#<alt (* x x)>
#<alt (* x 1/360)>
#<alt (* x (+ (* x (* x 1/360)) 1/12))>
#<alt (+ (* x (* x 1/360)) 1/12)>

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

Calls

45 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(/ 1 (cosh x))
2.0ms	x	@	inf	(/ 1 (cosh x))
1.0ms	x	@	0	(* (* x x) 1/12)
1.0ms	x	@	-inf	(/ 2 (+ (* x (+ (* (* x x) (* x (+ (* x (* x 1/360)) 1/12))) x)) 2))
0.0ms	x	@	inf	(/ 2 (+ (* x (+ (* (* x x) (* x (+ (* x (* x 1/360)) 1/12))) x)) 2))

rewrite441.0ms (5%)

Memory

-32.3MiB live, 537.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 300×	`accelerator-lowering-fma.f32`
7 300×	`accelerator-lowering-fma.f64`
4 974×	`-lowering-.f32`
4 974×	`-lowering-.f64`
4 432×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	137
1	165	125
2	1261	125
0	8372	108

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 457

Calls

Call 1

Inputs
(/ 1 (cosh x))
(cosh x)
(/ 2 (+ (* x x) 2))
(+ (* x x) 2)
(/ 2 (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2))
(+ (* x (+ (* x (* (* x x) 1/12)) x)) 2)
(+ (* x (* (* x x) 1/12)) x)
(* (* x x) 1/12)
(/ 2 (+ (* x (+ (* (* x x) (* x (+ (* x (* x 1/360)) 1/12))) x)) 2))
(+ (* x (+ (* (* x x) (* x (+ (* x (* x 1/360)) 1/12))) x)) 2)
(+ (* (* x x) (* x (+ (* x (* x 1/360)) 1/12))) x)
(* x x)
(* x 1/360)
(* x (+ (* x (* x 1/360)) 1/12))
(+ (* x (* x 1/360)) 1/12)

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

simplify633.0ms (7.1%)

Memory

-3.7MiB live, 635.5MiB allocated

Algorithm

1×	egg-herbie

Rules

12 120×	`accelerator-lowering-fma.f32`
12 120×	`accelerator-lowering-fma.f64`
3 404×	`-lowering-.f32`
3 404×	`-lowering-.f64`
3 166×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	169	1534
1	492	1502
2	1238	1500
3	3423	1478
4	6830	1478
0	8080	1388

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

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

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

eval113.0ms (1.3%)

Memory: 40.4MiB live, 152.3MiB allocated
Compiler: Compiled 21 971 to 2 000 computations (90.9% saved)

prune81.0ms (0.9%)

Memory

-26.6MiB live, 216.2MiB allocated

Pruning

22 alts after pruning (19 fresh and 3 done)

	Pruned	Kept	Total
New	638	17	655
Fresh	1	2	3
Picked	2	3	5
Done	0	0	0
Total	641	22	663

Accuracy

100.0%

Counts

663 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.2%	(fma.f64 (.f64 x x) (fma.f64 (.f64 x 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))
	49.1%	(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
▶	49.2%	(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
▶	46.5%	(/.f64 #s(literal 720 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
	41.1%	(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (*.f64 x x))))
▶	93.3%	(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))) x (fma.f64 x x #s(literal 2 binary64))))
▶	93.3%	(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
	66.6%	(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/129600 binary64)) #s(literal -1/144 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))) x) #s(literal 2 binary64)))
	87.4%	(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) x x) #s(literal 2 binary64)))
	93.3%	(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/360 binary64) (.f64 x #s(literal 1/12 binary64))) x) #s(literal 2 binary64)))
	93.3%	(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (.f64 x x) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))) x) #s(literal 2 binary64)))
	65.6%	(/.f64 #s(literal 2 binary64) (fma.f64 x (.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) x)) #s(literal 2 binary64)))
	92.9%	(/.f64 #s(literal 2 binary64) (fma.f64 x (.f64 (.f64 x x) (.f64 x (.f64 (*.f64 x x) #s(literal 1/360 binary64)))) #s(literal 2 binary64)))
✓	76.8%	(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
	46.5%	(/.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) #s(literal 1/360 binary64))))
	41.1%	(/.f64 #s(literal 2 binary64) (.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)))
▶	40.8%	(/.f64 #s(literal 2 binary64) (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x)))))
	30.6%	(/.f64 #s(literal 2 binary64) (*.f64 x x))
	93.3%	(/.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))
	56.7%	(.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) (.f64 x #s(literal 1/12 binary64)) x) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/12 binary64)) x)) #s(literal -4 binary64))) (fma.f64 x (fma.f64 (.f64 x x) (*.f64 x #s(literal 1/12 binary64)) x) #s(literal -2 binary64)))
✓	49.6%	#s(literal 1 binary64)

Compiler

Compiled 676 to 372 computations (45% saved)

simplify31.0ms (0.3%)

Memory

24.9MiB live, 64.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

850×	`accelerator-lowering-fma.f32`
850×	`accelerator-lowering-fma.f64`
374×	`-lowering-.f32`
374×	`-lowering-.f64`
210×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	228
1	88	206
2	226	204
3	520	204
4	853	204
5	958	204
0	958	183

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ 2 (+ (* (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x) (+ (* x x) 2)))
2
(+ (* (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x) (+ (* x x) 2))
(* (* x x) (* x (+ (* (* x x) 1/360) 1/12)))
(* x x)
x
(* x (+ (* (* x x) 1/360) 1/12))
(+ (* (* x x) 1/360) 1/12)
1/360
1/12
(+ (* x x) 2)
(+ (* -1/2 (* x x)) 1)
-1/2
(* x x)
x
1
(/ 2 (* x (* 1/12 (* x (* x x)))))
2
(* x (* 1/12 (* x (* x x))))
x
(* 1/12 (* x (* x x)))
1/12
(* x (* x x))
(* x x)
(/ 720 (* (* x x) (* x (* x (* x x)))))
720
(* (* x x) (* x (* x (* x x))))
(* x x)
x
(* x (* x (* x x)))
(* x (* x x))
(/ 2 (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/360) 1/12))) 1)) 2))
2
(+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/360) 1/12))) 1)) 2)
(* x x)
x
(+ (* x (* x (+ (* (* x x) 1/360) 1/12))) 1)
(* x (+ (* (* x x) 1/360) 1/12))
(+ (* (* x x) 1/360) 1/12)
1/360
1/12
1

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

localize110.0ms (1.2%)

Memory

1.8MiB live, 313.5MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
✓	accuracy	99.9%	(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) #s(literal 1 binary64))
✓	accuracy	99.9%	(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
✓	accuracy	99.6%	(.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))
✓	accuracy	100.0%	(/.f64 #s(literal 720 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
✓	accuracy	100.0%	(.f64 x (.f64 x (*.f64 x x)))
✓	accuracy	99.9%	(.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.9%	(.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x))))
✓	accuracy	99.1%	(/.f64 #s(literal 2 binary64) (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x)))))
✓	accuracy	99.1%	(.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x x)))
✓	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%	(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))) x (fma.f64 x x #s(literal 2 binary64))))
✓	accuracy	99.9%	(.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))))
✓	accuracy	99.9%	(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
✓	accuracy	99.6%	(.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))

Samples

60.0ms

256×

valid

Compiler

Compiled 235 to 32 computations (86.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-mult: 21.0ms (48.9% of total)

ival-div: 7.0ms (16.3% of total)

ival-add: 7.0ms (16.3% of total)

const: 6.0ms (14% of total)

exact: 1.0ms (2.3% of total)

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

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

series10.0ms (0.1%)

Memory

-12.7MiB live, 24.4MiB allocated

Counts

17 → 204

Calls

Call 1

Inputs
#<alt (+ (* (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x) (+ (* x x) 2))>
#<alt (/ 2 (+ (* (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x) (+ (* x x) 2)))>
#<alt (* (* x x) (* x (+ (* (* x x) 1/360) 1/12)))>
#<alt (* x x)>
#<alt (+ (* -1/2 (* x x)) 1)>
#<alt (/ 2 (* x (* 1/12 (* x (* x x)))))>
#<alt (* x (* 1/12 (* x (* x x))))>
#<alt (* 1/12 (* x (* x x)))>
#<alt (* x (* x x))>
#<alt (/ 720 (* (* x x) (* x (* x (* x x)))))>
#<alt (* (* x x) (* x (* x (* x x))))>
#<alt (* x (* x (* x x)))>
#<alt (/ 2 (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/360) 1/12))) 1)) 2))>
#<alt (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/360) 1/12))) 1)) 2)>
#<alt (+ (* x (* x (+ (* (* x x) 1/360) 1/12))) 1)>
#<alt (* x (+ (* (* x x) 1/360) 1/12))>
#<alt (+ (* (* x x) 1/360) 1/12)>

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

Calls

51 calls:

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

rewrite429.0ms (4.8%)

Memory

11.7MiB live, 713.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 312×	`-lowering-.f32`
5 312×	`-lowering-.f64`
4 834×	`/-lowering-/.f32`
4 834×	`/-lowering-/.f64`
3 794×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	175
1	191	153
2	1436	153
0	8100	135

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 638

Calls

Call 1

Inputs
(+ (* (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x) (+ (* x x) 2))
(/ 2 (+ (* (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x) (+ (* x x) 2)))
(* (* x x) (* x (+ (* (* x x) 1/360) 1/12)))
(* x x)
(+ (* -1/2 (* x x)) 1)
(/ 2 (* x (* 1/12 (* x (* x x)))))
(* x (* 1/12 (* x (* x x))))
(* 1/12 (* x (* x x)))
(* x (* x x))
(/ 720 (* (* x x) (* x (* x (* x x)))))
(* (* x x) (* x (* x (* x x))))
(* x (* x (* x x)))
(/ 2 (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/360) 1/12))) 1)) 2))
(+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/360) 1/12))) 1)) 2)
(+ (* x (* x (+ (* (* x x) 1/360) 1/12))) 1)
(* x (+ (* (* x x) 1/360) 1/12))
(+ (* (* x x) 1/360) 1/12)

Outputs
(+.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))))))
(+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))))) (fma.f64 x x #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)))))
(+.f64 (fma.f64 x x #s(literal 2 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))))))
(+.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(+.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))) #s(literal 2 binary64)) (*.f64 x x))
(+.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))))) (.f64 x x))
(-.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))))) (.f64 x x)) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))))) (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))))) (fma.f64 x x #s(literal 2 binary64)))) (/.f64 (.f64 (fma.f64 x x #s(literal 2 binary64)) (fma.f64 x x #s(literal 2 binary64))) (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))))) (fma.f64 x x #s(literal 2 binary64)))))
(-.f64 (/.f64 (.f64 x (.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64))) (.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)))))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))))
(-.f64 (/.f64 (.f64 (fma.f64 x x #s(literal 2 binary64)) (fma.f64 x x #s(literal 2 binary64))) (-.f64 (fma.f64 x x #s(literal 2 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))))))) (/.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))))) (.f64 x x)) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))))) (-.f64 (fma.f64 x x #s(literal 2 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))))))))
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(.f64 (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/12 binary64) (.f64 (*.f64 x x) #s(literal 1/360 binary64)))))

simplify290.0ms (3.3%)

Memory

14.0MiB live, 514.1MiB allocated

Algorithm

1×	egg-herbie

Rules

8 904×	`accelerator-lowering-fma.f32`
8 904×	`accelerator-lowering-fma.f64`
3 390×	`-lowering-.f32`
3 390×	`-lowering-.f64`
1 776×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	89	1446
1	251	1446
2	609	1430
3	1598	1430
4	4896	1422
5	7130	1422
0	8037	1323

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

Inputs
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(/ 720 (pow x 6))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))
(/ 720 (pow x 6))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))
(* 1/12 (pow x 3))
(* (pow x 3) (+ 1/12 (* 1/360 (pow x 2))))
(* (pow x 3) (+ 1/12 (* 1/360 (pow x 2))))
(* (pow x 3) (+ 1/12 (* 1/360 (pow x 2))))
(* 1/360 (pow x 5))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 5))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 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 (* -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))
(/ 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))
(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)
(/ 720 (pow x 6))
(/ 720 (pow x 6))
(/ 720 (pow x 6))
(/ 720 (pow x 6))
(/ 720 (pow x 6))
(/ 720 (pow x 6))
(/ 720 (pow x 6))
(/ 720 (pow x 6))
(/ 720 (pow x 6))
(/ 720 (pow x 6))
(/ 720 (pow x 6))
(/ 720 (pow x 6))
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(/ 720 (pow x 6))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))
(/ 720 (pow x 6))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))
1
(+ 1 (* 1/12 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))
(* 1/360 (pow x 4))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/360 (pow x 4))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/12 x)
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* 1/360 (pow x 3))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 3))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
1/12
(+ 1/12 (* 1/360 (pow x 2)))
(+ 1/12 (* 1/360 (pow x 2)))
(+ 1/12 (* 1/360 (pow x 2)))
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))

Outputs
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 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(* 1/360 (pow x 6))
(.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64)))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(* 1/360 (pow x 6))
(.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64)))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(fma.f64 (.f64 x x) (fma.f64 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 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))
(/ 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 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (.f64 x x))) (/.f64 #s(literal 388800 binary64) (.f64 x (.f64 x (.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 #s(literal 720 binary64) (-.f64 (/.f64 #s(literal 388800 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal 21600 binary64) (.f64 x x)) (/.f64 #s(literal 4406400 binary64) (.f64 (.f64 x (.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 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (.f64 x x))) (/.f64 #s(literal 388800 binary64) (.f64 x (.f64 x (.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 #s(literal 720 binary64) (-.f64 (/.f64 #s(literal 388800 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal 21600 binary64) (.f64 x x)) (/.f64 #s(literal 4406400 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))
(* 1/12 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(* (pow x 3) (+ 1/12 (* 1/360 (pow x 2))))
(.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))
(* (pow x 3) (+ 1/12 (* 1/360 (pow x 2))))
(.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))
(* (pow x 3) (+ 1/12 (* 1/360 (pow x 2))))
(.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))
(* 1/360 (pow x 5))
(.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))
(* 1/360 (pow x 5))
(.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 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 x (*.f64 x #s(literal -1/2 binary64)) #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 (* -1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(* -1/2 (pow x 2))
(.f64 x (.f64 x #s(literal -1/2 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(* -1/2 (pow x 2))
(.f64 x (.f64 x #s(literal -1/2 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(fma.f64 x (*.f64 x #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 (pow x 4))
(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ 24 (pow x 4))
(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ 24 (pow x 4))
(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ 24 (pow x 4))
(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ 24 (pow x 4))
(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ 24 (pow x 4))
(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ 24 (pow x 4))
(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ 24 (pow x 4))
(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ 24 (pow x 4))
(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ 24 (pow x 4))
(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ 24 (pow x 4))
(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (*.f64 x x))))
(* 1/12 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(* 1/12 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(* 1/12 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(* 1/12 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(* 1/12 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(* 1/12 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(* 1/12 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(* 1/12 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(* 1/12 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(* 1/12 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(* 1/12 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(* 1/12 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(* 1/12 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(* 1/12 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(* 1/12 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(* 1/12 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(* 1/12 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(* 1/12 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(* 1/12 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(* 1/12 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(* 1/12 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(* 1/12 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(* 1/12 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(* 1/12 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(/ 720 (pow x 6))
(/.f64 #s(literal 720 binary64) (.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 (pow x 6))
(/.f64 #s(literal 720 binary64) (.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 (pow x 6))
(/.f64 #s(literal 720 binary64) (.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 (pow x 6))
(/.f64 #s(literal 720 binary64) (.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 (pow x 6))
(/.f64 #s(literal 720 binary64) (.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 (pow x 6))
(/.f64 #s(literal 720 binary64) (.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))))
(pow x 6)
(.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))
(pow x 6)
(.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))
(pow x 6)
(.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))
(pow x 6)
(.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))
(pow x 6)
(.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))
(pow x 6)
(.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))
(pow x 6)
(.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))
(pow x 6)
(.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))
(pow x 6)
(.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))
(pow x 6)
(.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))
(pow x 6)
(.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))
(pow x 6)
(.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(fma.f64 (.f64 x x) (fma.f64 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 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))
(/ 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 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (.f64 x x))) (/.f64 #s(literal 388800 binary64) (.f64 x (.f64 x (.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 #s(literal 720 binary64) (-.f64 (/.f64 #s(literal 388800 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal 21600 binary64) (.f64 x x)) (/.f64 #s(literal 4406400 binary64) (.f64 (.f64 x (.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 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (.f64 x x))) (/.f64 #s(literal 388800 binary64) (.f64 x (.f64 x (.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 #s(literal 720 binary64) (-.f64 (/.f64 #s(literal 388800 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal 21600 binary64) (.f64 x x)) (/.f64 #s(literal 4406400 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))
2
#s(literal 2 binary64)
(+ 2 (pow x 2))
(fma.f64 x x #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(* 1/360 (pow x 6))
(.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64)))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(* 1/360 (pow x 6))
(.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64)))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/12 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64))
(* 1/360 (pow x 4))
(.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/360 binary64)))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64))
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64))
(* 1/360 (pow x 4))
(.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/360 binary64)))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64))
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(* 1/360 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/360 binary64)))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(* 1/360 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/360 binary64)))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
1/12
#s(literal 1/12 binary64)
(+ 1/12 (* 1/360 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(+ 1/12 (* 1/360 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(+ 1/12 (* 1/360 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(* 1/360 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/360 binary64))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(* 1/360 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/360 binary64))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))

eval186.0ms (2.1%)

Memory: -32.7MiB live, 329.6MiB allocated
Compiler: Compiled 37 225 to 2 384 computations (93.6% saved)

prune106.0ms (1.2%)

Memory

6.4MiB live, 279.3MiB allocated

Pruning

31 alts after pruning (24 fresh and 7 done)

	Pruned	Kept	Total
New	1 103	17	1 120
Fresh	7	7	14
Picked	1	4	5
Done	0	3	3
Total	1 111	31	1 142

Accuracy

100.0%

Counts

1 142 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.2%	(fma.f64 (.f64 x x) (fma.f64 (.f64 x 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))
	49.1%	(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓	49.2%	(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
	46.5%	(/.f64 (/.f64 #s(literal 720 binary64) x) (.f64 x (.f64 x (.f64 x (.f64 x x)))))
	46.5%	(/.f64 #s(literal 720 binary64) (.f64 (.f64 x (.f64 x (.f64 x (*.f64 x x)))) x))
	46.5%	(/.f64 #s(literal 720 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))
	46.5%	(/.f64 #s(literal 720 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x))))
	41.1%	(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (*.f64 x x))))
	66.6%	(/.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64) #s(literal -1/144 binary64))) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))) x (fma.f64 x x #s(literal 2 binary64))))
	57.9%	(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))) #s(literal -1 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))
▶	65.9%	(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 (.f64 x x) (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64)))) x (fma.f64 x x #s(literal 2 binary64))))
✓	93.3%	(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))) x (fma.f64 x x #s(literal 2 binary64))))
	93.3%	(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/360 binary64) (.f64 x #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
	65.9%	(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 x (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)) x) (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
✓	93.3%	(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
	56.8%	(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))) #s(literal -1 binary64)) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))
	93.3%	(/.f64 #s(literal 2 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 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64)))
▶	93.3%	(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (.f64 x x) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))) x) #s(literal 2 binary64)))
✓	76.8%	(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
▶	46.5%	(/.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) #s(literal 1/360 binary64))))
	41.1%	(/.f64 #s(literal 2 binary64) (.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)))
	40.8%	(/.f64 #s(literal 2 binary64) (.f64 x (.f64 (.f64 (.f64 x #s(literal 1/12 binary64)) x) x)))
	40.8%	(/.f64 #s(literal 2 binary64) (.f64 x (.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) x)))
	46.6%	(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))))
✓	40.8%	(/.f64 #s(literal 2 binary64) (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x)))))
	46.5%	(/.f64 #s(literal 2 binary64) (.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x)))))))
▶	30.6%	(/.f64 #s(literal 2 binary64) (*.f64 x x))
	46.5%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/720 binary64))))
✓	100.0%	(/.f64 #s(literal 1 binary64) (cosh.f64 x))
	56.7%	(.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) (.f64 x #s(literal 1/12 binary64)) x) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/12 binary64)) x)) #s(literal -4 binary64))) (fma.f64 x (fma.f64 (.f64 x x) (*.f64 x #s(literal 1/12 binary64)) x) #s(literal -2 binary64)))
✓	49.6%	#s(literal 1 binary64)

Compiler

Compiled 1 043 to 545 computations (47.7% saved)

simplify281.0ms (3.2%)

Memory

-6.1MiB live, 206.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))))
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 (.f64 x x) (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64)))) x (fma.f64 x x #s(literal 2 binary64))))
✓	cost-diff	320	(fma.f64 (.f64 (.f64 x x) (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64)))) x (fma.f64 x x #s(literal 2 binary64)))
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(.f64 x (.f64 x (*.f64 x x)))
✓	cost-diff	0	(.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) #s(literal 1/360 binary64)))
✓	cost-diff	320	(/.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) #s(literal 1/360 binary64))))
✓	cost-diff	0	(fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64))
✓	cost-diff	0	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) #s(literal -1/2 binary64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (*.f64 x x))
✓	cost-diff	0	(fma.f64 (.f64 x x) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))) x)
✓	cost-diff	0	(fma.f64 x (fma.f64 (.f64 x x) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))) x) #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (.f64 x x) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))) x) #s(literal 2 binary64)))
✓	cost-diff	1088	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))))

Rules

3 742×	`accelerator-lowering-fma.f32`
3 742×	`accelerator-lowering-fma.f64`
2 366×	`-lowering-.f32`
2 366×	`-lowering-.f64`
1 106×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	348
1	122	310
2	363	300
3	896	300
4	1773	300
5	2804	300
6	3302	300
7	3476	300
8	3569	300
9	3571	300
10	3574	300
11	3624	300
12	3689	300
13	3744	300
14	3762	300
15	3765	300
16	3768	300
17	3768	300
18	4464	300
19	4550	300
20	4559	300
21	4580	300
22	4580	300
23	4580	300
24	4586	300
25	4586	300
26	4586	300
27	4587	300
0	4587	267

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ 2 (+ (* x (+ (* (* x x) (/ x (/ 1 (+ (* (* x x) 1/360) 1/12)))) x)) 2))
2
(+ (* x (+ (* (* x x) (/ x (/ 1 (+ (* (* x x) 1/360) 1/12)))) x)) 2)
x
(+ (* (* x x) (/ x (/ 1 (+ (* (* x x) 1/360) 1/12)))) x)
(* x x)
(/ x (/ 1 (+ (* (* x x) 1/360) 1/12)))
(/ 1 (+ (* (* x x) 1/360) 1/12))
1
(+ (* (* x x) 1/360) 1/12)
1/360
1/12
(/ 2 (* x x))
2
(* x x)
x
(+ (* (* x x) (+ (* (* x x) (+ (* (* x x) -61/720) 5/24)) -1/2)) 1)
(* x x)
x
(+ (* (* x x) (+ (* (* x x) -61/720) 5/24)) -1/2)
(+ (* (* x x) -61/720) 5/24)
-61/720
5/24
-1/2
1
(/ 2 (* (* x (* x (* x x))) (* (* x x) 1/360)))
2
(* (* x (* x (* x x))) (* (* x x) 1/360))
(* x (* x (* x x)))
x
(* x (* x x))
(* x x)
(* (* x x) 1/360)
1/360
(/ 2 (+ (* (* (* x x) (/ (* (+ (* (* x (* x (* x x))) 1/129600) -1/144) x) (+ (* x (* x 1/360)) -1/12))) x) (+ (* x x) 2)))
2
(+ (* (* (* x x) (/ (* (+ (* (* x (* x (* x x))) 1/129600) -1/144) x) (+ (* x (* x 1/360)) -1/12))) x) (+ (* x x) 2))
(* (* x x) (/ (* (+ (* (* x (* x (* x x))) 1/129600) -1/144) x) (+ (* x (* x 1/360)) -1/12)))
(* x x)
x
(/ (* (+ (* (* x (* x (* x x))) 1/129600) -1/144) x) (+ (* x (* x 1/360)) -1/12))
(* (+ (* (* x (* x (* x x))) 1/129600) -1/144) x)
(+ (* (* x (* x (* x x))) 1/129600) -1/144)
(* x (* x (* x x)))
(* x (* x x))
1/129600
-1/144
(+ (* x (* x 1/360)) -1/12)
(* x 1/360)
1/360
-1/12
(+ (* x x) 2)

Outputs
(/ 2 (+ (* x (+ (* (* x x) (/ x (/ 1 (+ (* (* x x) 1/360) 1/12)))) x)) 2))
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x) #s(literal 2 binary64)))
2
#s(literal 2 binary64)
(+ (* x (+ (* (* x x) (/ x (/ 1 (+ (* (* x x) 1/360) 1/12)))) x)) 2)
(fma.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))
x
(+ (* (* x x) (/ x (/ 1 (+ (* (* x x) 1/360) 1/12)))) x)
(fma.f64 (.f64 x x) (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x)
(* x x)
(*.f64 x x)
(/ x (/ 1 (+ (* (* x x) 1/360) 1/12)))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))
(/ 1 (+ (* (* x x) 1/360) 1/12))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))
1
#s(literal 1 binary64)
(+ (* (* x x) 1/360) 1/12)
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
1/360
#s(literal 1/360 binary64)
1/12
#s(literal 1/12 binary64)
(/ 2 (* x x))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
2
#s(literal 2 binary64)
(* x x)
(*.f64 x x)
x
(+ (* (* x x) (+ (* (* x x) (+ (* (* x x) -61/720) 5/24)) -1/2)) 1)
(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))
(* x x)
(*.f64 x x)
x
(+ (* (* x x) (+ (* (* x x) -61/720) 5/24)) -1/2)
(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))
(+ (* (* x x) -61/720) 5/24)
(fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))
-61/720
#s(literal -61/720 binary64)
5/24
#s(literal 5/24 binary64)
-1/2
#s(literal -1/2 binary64)
1
#s(literal 1 binary64)
(/ 2 (* (* x (* x (* x x))) (* (* x x) 1/360)))
(/.f64 #s(literal 720 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x))))))
2
#s(literal 2 binary64)
(* (* x (* x (* x x))) (* (* x x) 1/360))
(.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))))
(* x (* x (* x x)))
(.f64 x (.f64 x (*.f64 x x)))
x
(* x (* x x))
(.f64 x (.f64 x x))
(* x x)
(*.f64 x x)
(* (* x x) 1/360)
(.f64 (.f64 x x) #s(literal 1/360 binary64))
1/360
#s(literal 1/360 binary64)
(/ 2 (+ (* (* (* x x) (/ (* (+ (* (* x (* x (* x x))) 1/129600) -1/144) x) (+ (* x (* x 1/360)) -1/12))) x) (+ (* x x) 2)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (/.f64 (.f64 x (.f64 x (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)))) (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))) x) #s(literal 2 binary64)))
2
#s(literal 2 binary64)
(+ (* (* (* x x) (/ (* (+ (* (* x (* x (* x x))) 1/129600) -1/144) x) (+ (* x (* x 1/360)) -1/12))) x) (+ (* x x) 2))
(fma.f64 x (fma.f64 x (/.f64 (.f64 x (.f64 x (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)))) (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))) x) #s(literal 2 binary64))
(* (* x x) (/ (* (+ (* (* x (* x (* x x))) 1/129600) -1/144) x) (+ (* x (* x 1/360)) -1/12)))
(/.f64 (.f64 x (.f64 x (.f64 x (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64) #s(literal -1/144 binary64))))) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64)))
(* x x)
(*.f64 x x)
x
(/ (* (+ (* (* x (* x (* x x))) 1/129600) -1/144) x) (+ (* x (* x 1/360)) -1/12))
(/.f64 (.f64 x (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64) #s(literal -1/144 binary64))) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64)))
(* (+ (* (* x (* x (* x x))) 1/129600) -1/144) x)
(.f64 x (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)))
(+ (* (* x (* x (* x x))) 1/129600) -1/144)
(fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/129600 binary64) #s(literal -1/144 binary64))
(* x (* x (* x x)))
(.f64 x (.f64 x (*.f64 x x)))
(* x (* x x))
(.f64 x (.f64 x x))
1/129600
#s(literal 1/129600 binary64)
-1/144
#s(literal -1/144 binary64)
(+ (* x (* x 1/360)) -1/12)
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))
(* x 1/360)
(*.f64 x #s(literal 1/360 binary64))
1/360
#s(literal 1/360 binary64)
-1/12
#s(literal -1/12 binary64)
(+ (* x x) 2)
(fma.f64 x x #s(literal 2 binary64))

localize153.0ms (1.7%)

Memory

18.3MiB live, 335.1MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)) x)
✓	accuracy	99.6%	(*.f64 x #s(literal 1/360 binary64))
✓	accuracy	99.3%	(fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/129600 binary64) #s(literal -1/144 binary64))
✓	accuracy	68.8%	(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64)))
✓	accuracy	99.9%	(/.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) #s(literal 1/360 binary64))))
✓	accuracy	99.9%	(.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) #s(literal 1/360 binary64)))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 1/360 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(fma.f64 (.f64 x x) (fma.f64 (.f64 x 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))
✓	accuracy	99.9%	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) #s(literal -1/2 binary64))
✓	accuracy	99.9%	(fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.8%	(/.f64 #s(literal 2 binary64) (*.f64 x x))
✓	accuracy	100.0%	(fma.f64 (.f64 x x) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))) x)
✓	accuracy	99.9%	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))))
✓	accuracy	99.9%	(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))

Samples

93.0ms

256×

valid

Compiler

Compiled 347 to 46 computations (86.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

ival-mult: 27.0ms (37.1% of total)

const: 19.0ms (26.1% of total)

ival-div: 13.0ms (17.9% of total)

ival-add: 13.0ms (17.9% of total)

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

exact: 0.0ms (0% of total)

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

series16.0ms (0.2%)

Memory

-1.6MiB live, 35.6MiB allocated

Counts

23 → 276

Calls

Call 1

Inputs
#<alt (/ x (/ 1 (+ (* (* x x) 1/360) 1/12)))>
#<alt (/ 2 (+ (* x (+ (* (* x x) (/ x (/ 1 (+ (* (* x x) 1/360) 1/12)))) x)) 2))>
#<alt (+ (* x (+ (* (* x x) (/ x (/ 1 (+ (* (* x x) 1/360) 1/12)))) x)) 2)>
#<alt (+ (* (* x x) (/ x (/ 1 (+ (* (* x x) 1/360) 1/12)))) x)>
#<alt (/ 2 (* x x))>
#<alt (* x x)>
#<alt (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) -61/720) 5/24)) -1/2)) 1)>
#<alt (+ (* (* x x) (+ (* (* x x) -61/720) 5/24)) -1/2)>
#<alt (+ (* (* x x) -61/720) 5/24)>
#<alt (/ 2 (* (* x (* x (* x x))) (* (* x x) 1/360)))>
#<alt (* (* x (* x (* x x))) (* (* x x) 1/360))>
#<alt (* x (* x (* x x)))>
#<alt (* x (* x x))>
#<alt (+ (* (* (* x x) (/ (* (+ (* (* x (* x (* x x))) 1/129600) -1/144) x) (+ (* x (* x 1/360)) -1/12))) x) (+ (* x x) 2))>
#<alt (/ 2 (+ (* (* (* x x) (/ (* (+ (* (* x (* x (* x x))) 1/129600) -1/144) x) (+ (* x (* x 1/360)) -1/12))) x) (+ (* x x) 2)))>
#<alt (* (* x x) (/ (* (+ (* (* x (* x (* x x))) 1/129600) -1/144) x) (+ (* x (* x 1/360)) -1/12)))>
#<alt (/ 1 (+ (* (* x x) 1/360) 1/12))>
#<alt (+ (* (* x x) 1/360) 1/12)>
#<alt (* (* x x) 1/360)>
#<alt (/ (* (+ (* (* x (* x (* x x))) 1/129600) -1/144) x) (+ (* x (* x 1/360)) -1/12))>
#<alt (+ (* (* x (* x (* x x))) 1/129600) -1/144)>
#<alt (* x 1/360)>
#<alt (* (+ (* (* x (* x (* x x))) 1/129600) -1/144) x)>

Outputs
#<alt (* 1/12 x)>
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* 1/360 (pow x 3))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* 1/360 (pow x 3))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))>
#<alt (/ 720 (pow x 6))>
#<alt (/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))>
#<alt (/ 720 (pow x 6))>
#<alt (/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))>
#<alt 2>
#<alt (+ 2 (pow x 2))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))>
#<alt x>
#<alt (* x (+ 1 (* 1/12 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* 1/360 (pow x 5))>
#<alt (* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/360 (pow x 5))>
#<alt (* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))>
#<alt (* -61/720 (pow x 6))>
#<alt (* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) 61/720))>
#<alt (* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 5/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 61/720 (/ 1/2 (pow x 4)))))>
#<alt (* -61/720 (pow x 6))>
#<alt (* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) 61/720))>
#<alt (* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 5/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 61/720 (/ 1/2 (pow x 4)))))>
#<alt -1/2>
#<alt (- (* 5/24 (pow x 2)) 1/2)>
#<alt (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)>
#<alt (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)>
#<alt (* -61/720 (pow x 4))>
#<alt (* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 61/720))>
#<alt (* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))>
#<alt (* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))>
#<alt (* -61/720 (pow x 4))>
#<alt (* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 61/720))>
#<alt (* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))>
#<alt (* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))>
#<alt 5/24>
#<alt (+ 5/24 (* -61/720 (pow x 2)))>
#<alt (+ 5/24 (* -61/720 (pow x 2)))>
#<alt (+ 5/24 (* -61/720 (pow x 2)))>
#<alt (* -61/720 (pow x 2))>
#<alt (* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720))>
#<alt (* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720))>
#<alt (* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720))>
#<alt (* -61/720 (pow x 2))>
#<alt (* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720))>
#<alt (* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720))>
#<alt (* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720))>
#<alt (/ 720 (pow x 6))>
#<alt (/ 720 (pow x 6))>
#<alt (/ 720 (pow x 6))>
#<alt (/ 720 (pow x 6))>
#<alt (/ 720 (pow x 6))>
#<alt (/ 720 (pow x 6))>
#<alt (/ 720 (pow x 6))>
#<alt (/ 720 (pow x 6))>
#<alt (/ 720 (pow x 6))>
#<alt (/ 720 (pow x 6))>
#<alt (/ 720 (pow x 6))>
#<alt (/ 720 (pow x 6))>
#<alt (* 1/360 (pow x 6))>
#<alt (* 1/360 (pow x 6))>
#<alt (* 1/360 (pow x 6))>
#<alt (* 1/360 (pow x 6))>
#<alt (* 1/360 (pow x 6))>
#<alt (* 1/360 (pow x 6))>
#<alt (* 1/360 (pow x 6))>
#<alt (* 1/360 (pow x 6))>
#<alt (* 1/360 (pow x 6))>
#<alt (* 1/360 (pow x 6))>
#<alt (* 1/360 (pow x 6))>
#<alt (* 1/360 (pow x 6))>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt 2>
#<alt (+ 2 (pow x 2))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))>
#<alt (/ 720 (pow x 6))>
#<alt (/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))>
#<alt (/ 720 (pow x 6))>
#<alt (/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))>
#<alt (* 1/12 (pow x 3))>
#<alt (* (pow x 3) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* 1/360 (pow x 5))>
#<alt (* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* 1/360 (pow x 5))>
#<alt (* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt 12>
#<alt (+ 12 (* -2/5 (pow x 2)))>
#<alt (+ 12 (* (pow x 2) (- (* 1/75 (pow x 2)) 2/5)))>
#<alt (+ 12 (* (pow x 2) (- (* (pow x 2) (+ 1/75 (* -1/2250 (pow x 2)))) 2/5)))>
#<alt (/ 360 (pow x 2))>
#<alt (/ (- 360 (* 10800 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 360 (/ 324000 (pow x 4))) (* 10800 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 360 (/ 324000 (pow x 4))) (+ (* 10800 (/ 1 (pow x 2))) (* 9720000 (/ 1 (pow x 6))))) (pow x 2))>
#<alt (/ 360 (pow x 2))>
#<alt (/ (- 360 (* 10800 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 360 (/ 324000 (pow x 4))) (* 10800 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 360 (/ 324000 (pow x 4))) (+ (* 10800 (/ 1 (pow x 2))) (* 9720000 (/ 1 (pow x 6))))) (pow x 2))>
#<alt 1/12>
#<alt (+ 1/12 (* 1/360 (pow x 2)))>
#<alt (+ 1/12 (* 1/360 (pow x 2)))>
#<alt (+ 1/12 (* 1/360 (pow x 2)))>
#<alt (* 1/360 (pow x 2))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* 1/360 (pow x 2))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/12 x)>
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* 1/360 (pow x 3))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* 1/360 (pow x 3))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt -1/144>
#<alt (- (* 1/129600 (pow x 4)) 1/144)>
#<alt (- (* 1/129600 (pow x 4)) 1/144)>
#<alt (- (* 1/129600 (pow x 4)) 1/144)>
#<alt (* 1/129600 (pow x 4))>
#<alt (* (pow x 4) (- 1/129600 (* 1/144 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 1/129600 (* 1/144 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 1/129600 (* 1/144 (/ 1 (pow x 4)))))>
#<alt (* 1/129600 (pow x 4))>
#<alt (* (pow x 4) (- 1/129600 (* 1/144 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 1/129600 (* 1/144 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 1/129600 (* 1/144 (/ 1 (pow x 4)))))>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* -1/144 x)>
#<alt (* x (- (* 1/129600 (pow x 4)) 1/144))>
#<alt (* x (- (* 1/129600 (pow x 4)) 1/144))>
#<alt (* x (- (* 1/129600 (pow x 4)) 1/144))>
#<alt (* 1/129600 (pow x 5))>
#<alt (* (pow x 5) (- 1/129600 (* 1/144 (/ 1 (pow x 4)))))>
#<alt (* (pow x 5) (- 1/129600 (* 1/144 (/ 1 (pow x 4)))))>
#<alt (* (pow x 5) (- 1/129600 (* 1/144 (/ 1 (pow x 4)))))>
#<alt (* 1/129600 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- (* 1/144 (/ 1 (pow x 4))) 1/129600)))>
#<alt (* -1 (* (pow x 5) (- (* 1/144 (/ 1 (pow x 4))) 1/129600)))>
#<alt (* -1 (* (pow x 5) (- (* 1/144 (/ 1 (pow x 4))) 1/129600)))>

Calls

69 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(* (* x x) (/ (* (+ (* (* x (* x (* x x))) 1/129600) -1/144) x) (+ (* x (* x 1/360)) -1/12)))
2.0ms	x	@	0	(+ (* (* (* x x) (/ (* (+ (* (* x (* x (* x x))) 1/129600) -1/144) x) (+ (* x (* x 1/360)) -1/12))) x) (+ (* x x) 2))
0.0ms	x	@	-inf	(* (+ (* (* x (* x (* x x))) 1/129600) -1/144) x)
0.0ms	x	@	inf	(+ (* (* x x) (+ (* (* x x) (+ (* (* x x) -61/720) 5/24)) -1/2)) 1)
0.0ms	x	@	inf	(* (* x x) (/ (* (+ (* (* x (* x (* x x))) 1/129600) -1/144) x) (+ (* x (* x 1/360)) -1/12)))

rewrite639.0ms (7.2%)

Memory

-10.8MiB live, 702.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 982×	`accelerator-lowering-fma.f32`
5 982×	`accelerator-lowering-fma.f64`
4 980×	`-lowering-.f32`
4 980×	`-lowering-.f64`
4 674×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	263
1	303	219
2	2437	217
0	9283	190

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 1 072

Calls

Call 1

Inputs
(/ x (/ 1 (+ (* (* x x) 1/360) 1/12)))
(/ 2 (+ (* x (+ (* (* x x) (/ x (/ 1 (+ (* (* x x) 1/360) 1/12)))) x)) 2))
(+ (* x (+ (* (* x x) (/ x (/ 1 (+ (* (* x x) 1/360) 1/12)))) x)) 2)
(+ (* (* x x) (/ x (/ 1 (+ (* (* x x) 1/360) 1/12)))) x)
(/ 2 (* x x))
(* x x)
(+ (* (* x x) (+ (* (* x x) (+ (* (* x x) -61/720) 5/24)) -1/2)) 1)
(+ (* (* x x) (+ (* (* x x) -61/720) 5/24)) -1/2)
(+ (* (* x x) -61/720) 5/24)
(/ 2 (* (* x (* x (* x x))) (* (* x x) 1/360)))
(* (* x (* x (* x x))) (* (* x x) 1/360))
(* x (* x (* x x)))
(* x (* x x))
(+ (* (* (* x x) (/ (* (+ (* (* x (* x (* x x))) 1/129600) -1/144) x) (+ (* x (* x 1/360)) -1/12))) x) (+ (* x x) 2))
(/ 2 (+ (* (* (* x x) (/ (* (+ (* (* x (* x (* x x))) 1/129600) -1/144) x) (+ (* x (* x 1/360)) -1/12))) x) (+ (* x x) 2)))
(* (* x x) (/ (* (+ (* (* x (* x (* x x))) 1/129600) -1/144) x) (+ (* x (* x 1/360)) -1/12)))
(/ 1 (+ (* (* x x) 1/360) 1/12))
(+ (* (* x x) 1/360) 1/12)
(* (* x x) 1/360)
(/ (* (+ (* (* x (* x (* x x))) 1/129600) -1/144) x) (+ (* x (* x 1/360)) -1/12))
(+ (* (* x (* x (* x x))) 1/129600) -1/144)
(* x 1/360)
(* (+ (* (* x (* x (* x x))) 1/129600) -1/144) x)

Outputs
(+.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/360 binary64)))) (.f64 x #s(literal 1/12 binary64)))
(+.f64 (.f64 x #s(literal 1/12 binary64)) (.f64 x (.f64 x (.f64 x #s(literal 1/360 binary64)))))
(+.f64 (.f64 (.f64 x (.f64 x #s(literal 1/360 binary64))) x) (.f64 #s(literal 1/12 binary64) x))
(+.f64 (.f64 #s(literal 1/12 binary64) x) (.f64 (.f64 x (.f64 x #s(literal 1/360 binary64))) x))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64)))) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/360 binary64))) (*.f64 x #s(literal 1/12 binary64)))
(fma.f64 x #s(literal 1/12 binary64) (.f64 x (.f64 x (*.f64 x #s(literal 1/360 binary64)))))
(fma.f64 (.f64 x (.f64 x #s(literal 1/360 binary64))) x (*.f64 #s(literal 1/12 binary64) x))
(fma.f64 #s(literal 1/12 binary64) x (.f64 (.f64 x (*.f64 x #s(literal 1/360 binary64))) x))
(neg.f64 (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))))
(neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))) (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))))))
(/.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) #s(literal 1 binary64))
(/.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/129600 binary64)) #s(literal -1/144 binary64))) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64)))
(/.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/129600 binary64)) #s(literal -1/144 binary64))) (.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))) #s(literal 1 binary64))))
(/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))))
(/.f64 (.f64 (neg.f64 x) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/129600 binary64)) #s(literal -1/144 binary64))) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))))
(/.f64 (.f64 (neg.f64 x) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/129600 binary64)) #s(literal -1/144 binary64))) (neg.f64 (.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/2176782336000000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal -1/2985984 binary64)) x) (.f64 (-.f64 (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/16796160000 binary64) #s(literal 1/20736 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/18662400 binary64))) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/16796160000 binary64) #s(literal -1/20736 binary64)) x) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/129600 binary64)) #s(literal 1/144 binary64)) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))))
(/.f64 (.f64 x (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/46656000 binary64) #s(literal 1/1728 binary64))) (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/129600 binary64)) #s(literal 1/144 binary64)) (.f64 (*.f64 x x) #s(literal 1/4320 binary64))))
(/.f64 (.f64 x (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/46656000 binary64) #s(literal 1/1728 binary64))) (.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/129600 binary64)) #s(literal 1/144 binary64)) (.f64 (.f64 x x) #s(literal 1/4320 binary64)))))
(/.f64 (neg.f64 (.f64 (neg.f64 x) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/129600 binary64)) #s(literal -1/144 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64)))))
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(fma.f64 (.f64 (.f64 x #s(literal 1/360 binary64)) (.f64 x #s(literal 1/360 binary64))) (.f64 x x) #s(literal -1/144 binary64))
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(fma.f64 (.f64 (.f64 x (.f64 x #s(literal 1/360 binary64))) (.f64 x x)) #s(literal 1/360 binary64) #s(literal -1/144 binary64))
(fma.f64 (.f64 (.f64 x (.f64 x #s(literal 1/360 binary64))) #s(literal 1/360 binary64)) (.f64 x x) #s(literal -1/144 binary64))
(fma.f64 (.f64 (.f64 x (.f64 x #s(literal 1/360 binary64))) (.f64 x #s(literal 1/360 binary64))) x #s(literal -1/144 binary64))
(fma.f64 (.f64 #s(literal 1/129600 binary64) x) (.f64 x (*.f64 x x)) #s(literal -1/144 binary64))
(fma.f64 (.f64 #s(literal 1/129600 binary64) (.f64 x x)) (*.f64 x x) #s(literal -1/144 binary64))
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(.f64 (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/16796160000 binary64) #s(literal -1/20736 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/129600 binary64)) #s(literal 1/144 binary64))))
(*.f64 x #s(literal 1/360 binary64))
(*.f64 #s(literal 1/360 binary64) x)
(+.f64 (.f64 x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/129600 binary64))))) (.f64 x #s(literal -1/144 binary64)))
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(+.f64 (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/129600 binary64)))) x) (.f64 #s(literal -1/144 binary64) x))
(+.f64 (.f64 #s(literal -1/144 binary64) x) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/129600 binary64)))) x))
(fma.f64 x #s(literal -1/144 binary64) (.f64 x (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/129600 binary64))))))
(fma.f64 x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/129600 binary64)))) (*.f64 x #s(literal -1/144 binary64)))
(fma.f64 #s(literal -1/144 binary64) x (.f64 (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/129600 binary64)))) x))
(fma.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/129600 binary64)))) x (*.f64 #s(literal -1/144 binary64) x))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/2176782336000000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal -1/2985984 binary64)) x) (-.f64 (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/16796160000 binary64) #s(literal 1/20736 binary64)) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -1/18662400 binary64))))
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(/.f64 (.f64 x (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/16796160000 binary64) #s(literal -1/20736 binary64))) (fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/129600 binary64)) #s(literal 1/144 binary64)))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/2176782336000000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal -1/2985984 binary64)) x)) (neg.f64 (-.f64 (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/16796160000 binary64) #s(literal 1/20736 binary64)) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -1/18662400 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/16796160000 binary64) #s(literal -1/20736 binary64)) x)) (neg.f64 (fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/129600 binary64)) #s(literal 1/144 binary64))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/2176782336000000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal -1/2985984 binary64)))) (neg.f64 (-.f64 (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/16796160000 binary64) #s(literal 1/20736 binary64)) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -1/18662400 binary64)))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/16796160000 binary64) #s(literal -1/20736 binary64)))) (neg.f64 (fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/129600 binary64)) #s(literal 1/144 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/129600 binary64))))) #s(literal 3 binary64)) (pow.f64 (.f64 x #s(literal -1/144 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/129600 binary64))))) (.f64 x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/129600 binary64))))) (-.f64 (.f64 (.f64 x #s(literal -1/144 binary64)) (.f64 x #s(literal -1/144 binary64))) (.f64 (.f64 x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/129600 binary64))))) (.f64 x #s(literal -1/144 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 x #s(literal -1/144 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/129600 binary64))))) #s(literal 3 binary64))) (fma.f64 (.f64 x #s(literal -1/144 binary64)) (.f64 x #s(literal -1/144 binary64)) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/129600 binary64))))) (.f64 x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/129600 binary64)))))) (.f64 (.f64 x #s(literal -1/144 binary64)) (.f64 x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/129600 binary64)))))))))
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(/.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/144 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/129600 binary64)))) x) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal -1/144 binary64) x) (.f64 #s(literal -1/144 binary64) x) (-.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/129600 binary64)))) x) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/129600 binary64)))) x)) (.f64 (.f64 #s(literal -1/144 binary64) x) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/129600 binary64)))) x)))))
(.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/129600 binary64)) #s(literal -1/144 binary64)))
(.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/129600 binary64)) #s(literal -1/144 binary64)) x)

simplify310.0ms (3.5%)

Memory

27.3MiB live, 511.9MiB allocated

Algorithm

1×	egg-herbie

Rules

8 108×	`accelerator-lowering-fma.f32`
8 108×	`accelerator-lowering-fma.f64`
3 586×	`-lowering-.f32`
3 586×	`-lowering-.f64`
2 388×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	157	2168
1	427	2142
2	1050	2140
3	2878	2130
4	6881	2122
0	8678	1967

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

Calls

Call 1

Inputs
(* 1/12 x)
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* 1/360 (pow x 3))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 3))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(/ 720 (pow x 6))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))
(/ 720 (pow x 6))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* 1/360 (pow x 5))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/360 (pow x 5))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(* -61/720 (pow x 6))
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))
(* (pow x 6) (- (+ (* 5/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 61/720 (/ 1/2 (pow x 4)))))
(* -61/720 (pow x 6))
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))
(* (pow x 6) (- (+ (* 5/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 61/720 (/ 1/2 (pow x 4)))))
-1/2
(- (* 5/24 (pow x 2)) 1/2)
(- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)
(- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)
(* -61/720 (pow x 4))
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))
(* -61/720 (pow x 4))
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))
5/24
(+ 5/24 (* -61/720 (pow x 2)))
(+ 5/24 (* -61/720 (pow x 2)))
(+ 5/24 (* -61/720 (pow x 2)))
(* -61/720 (pow x 2))
(* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(* -61/720 (pow x 2))
(* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(/ 720 (pow x 6))
(/ 720 (pow x 6))
(/ 720 (pow x 6))
(/ 720 (pow x 6))
(/ 720 (pow x 6))
(/ 720 (pow x 6))
(/ 720 (pow x 6))
(/ 720 (pow x 6))
(/ 720 (pow x 6))
(/ 720 (pow x 6))
(/ 720 (pow x 6))
(/ 720 (pow x 6))
(* 1/360 (pow x 6))
(* 1/360 (pow x 6))
(* 1/360 (pow x 6))
(* 1/360 (pow x 6))
(* 1/360 (pow x 6))
(* 1/360 (pow x 6))
(* 1/360 (pow x 6))
(* 1/360 (pow x 6))
(* 1/360 (pow x 6))
(* 1/360 (pow x 6))
(* 1/360 (pow x 6))
(* 1/360 (pow x 6))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(/ 720 (pow x 6))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))
(/ 720 (pow x 6))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))
(* 1/12 (pow x 3))
(* (pow x 3) (+ 1/12 (* 1/360 (pow x 2))))
(* (pow x 3) (+ 1/12 (* 1/360 (pow x 2))))
(* (pow x 3) (+ 1/12 (* 1/360 (pow x 2))))
(* 1/360 (pow x 5))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 5))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
12
(+ 12 (* -2/5 (pow x 2)))
(+ 12 (* (pow x 2) (- (* 1/75 (pow x 2)) 2/5)))
(+ 12 (* (pow x 2) (- (* (pow x 2) (+ 1/75 (* -1/2250 (pow x 2)))) 2/5)))
(/ 360 (pow x 2))
(/ (- 360 (* 10800 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 360 (/ 324000 (pow x 4))) (* 10800 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 360 (/ 324000 (pow x 4))) (+ (* 10800 (/ 1 (pow x 2))) (* 9720000 (/ 1 (pow x 6))))) (pow x 2))
(/ 360 (pow x 2))
(/ (- 360 (* 10800 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 360 (/ 324000 (pow x 4))) (* 10800 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 360 (/ 324000 (pow x 4))) (+ (* 10800 (/ 1 (pow x 2))) (* 9720000 (/ 1 (pow x 6))))) (pow x 2))
1/12
(+ 1/12 (* 1/360 (pow x 2)))
(+ 1/12 (* 1/360 (pow x 2)))
(+ 1/12 (* 1/360 (pow x 2)))
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/12 x)
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* 1/360 (pow x 3))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 3))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
-1/144
(- (* 1/129600 (pow x 4)) 1/144)
(- (* 1/129600 (pow x 4)) 1/144)
(- (* 1/129600 (pow x 4)) 1/144)
(* 1/129600 (pow x 4))
(* (pow x 4) (- 1/129600 (* 1/144 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/129600 (* 1/144 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/129600 (* 1/144 (/ 1 (pow x 4)))))
(* 1/129600 (pow x 4))
(* (pow x 4) (- 1/129600 (* 1/144 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/129600 (* 1/144 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/129600 (* 1/144 (/ 1 (pow x 4)))))
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* -1/144 x)
(* x (- (* 1/129600 (pow x 4)) 1/144))
(* x (- (* 1/129600 (pow x 4)) 1/144))
(* x (- (* 1/129600 (pow x 4)) 1/144))
(* 1/129600 (pow x 5))
(* (pow x 5) (- 1/129600 (* 1/144 (/ 1 (pow x 4)))))
(* (pow x 5) (- 1/129600 (* 1/144 (/ 1 (pow x 4)))))
(* (pow x 5) (- 1/129600 (* 1/144 (/ 1 (pow x 4)))))
(* 1/129600 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/144 (/ 1 (pow x 4))) 1/129600)))
(* -1 (* (pow x 5) (- (* 1/144 (/ 1 (pow x 4))) 1/129600)))
(* -1 (* (pow x 5) (- (* 1/144 (/ 1 (pow x 4))) 1/129600)))

Outputs
(* 1/12 x)
(*.f64 #s(literal 1/12 binary64) x)
(* x (+ 1/12 (* 1/360 (pow x 2))))
(.f64 x (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(.f64 x (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(.f64 x (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)))
(* 1/360 (pow x 3))
(.f64 #s(literal 1/360 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)))
(* 1/360 (pow x 3))
(.f64 #s(literal 1/360 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/ 720 (pow x 6))
(/.f64 #s(literal 720 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/.f64 (+.f64 #s(literal 720 binary64) (+.f64 (/.f64 #s(literal 388800 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -21600 binary64) (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 388800 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -21600 binary64) (.f64 x x))) (-.f64 #s(literal 720 binary64) (/.f64 #s(literal 4406400 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))
(/ 720 (pow x 6))
(/.f64 #s(literal 720 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/.f64 (+.f64 #s(literal 720 binary64) (+.f64 (/.f64 #s(literal 388800 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -21600 binary64) (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 388800 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -21600 binary64) (.f64 x x))) (-.f64 #s(literal 720 binary64) (/.f64 #s(literal 4406400 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))
2
#s(literal 2 binary64)
(+ 2 (pow x 2))
(fma.f64 x x #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(fma.f64 x (fma.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x)) x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(* 1/360 (pow x 6))
(.f64 x (.f64 x (.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x x))))))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64)))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(* 1/360 (pow x 6))
(.f64 x (.f64 x (.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x x))))))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64)))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(fma.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x)
(* 1/360 (pow x 5))
(.f64 x (.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x (*.f64 x x)))))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 x (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64))))
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x)
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x)
(* 1/360 (pow x 5))
(.f64 x (.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x (*.f64 x x)))))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 x (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))
(fma.f64 x (.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x x)))) (.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x (.f64 x x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))
(fma.f64 x (.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x x)))) (.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x (.f64 x x))))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(fma.f64 (.f64 x x) (fma.f64 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 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(* -61/720 (pow x 6))
(.f64 #s(literal -61/720 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
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(.f64 #s(literal 1/360 binary64) (.f64 x x))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(* 1/360 (pow x 2))
(.f64 #s(literal 1/360 binary64) (.f64 x x))
(* 1/360 (pow x 2))
(.f64 #s(literal 1/360 binary64) (.f64 x x))
(* 1/360 (pow x 2))
(.f64 #s(literal 1/360 binary64) (.f64 x x))
(* 1/360 (pow x 2))
(.f64 #s(literal 1/360 binary64) (.f64 x x))
(* 1/360 (pow x 2))
(.f64 #s(literal 1/360 binary64) (.f64 x x))
(* 1/360 (pow x 2))
(.f64 #s(literal 1/360 binary64) (.f64 x x))
(* 1/360 (pow x 2))
(.f64 #s(literal 1/360 binary64) (.f64 x x))
(* 1/360 (pow x 2))
(.f64 #s(literal 1/360 binary64) (.f64 x x))
(* 1/360 (pow x 2))
(.f64 #s(literal 1/360 binary64) (.f64 x x))
(* 1/360 (pow x 2))
(.f64 #s(literal 1/360 binary64) (.f64 x x))
(* 1/360 (pow x 2))
(.f64 #s(literal 1/360 binary64) (.f64 x x))
(* 1/360 (pow x 2))
(.f64 #s(literal 1/360 binary64) (.f64 x x))
(* 1/12 x)
(*.f64 #s(literal 1/12 binary64) x)
(* x (+ 1/12 (* 1/360 (pow x 2))))
(.f64 x (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(.f64 x (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(.f64 x (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)))
(* 1/360 (pow x 3))
(.f64 #s(literal 1/360 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)))
(* 1/360 (pow x 3))
(.f64 #s(literal 1/360 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)))
-1/144
#s(literal -1/144 binary64)
(- (* 1/129600 (pow x 4)) 1/144)
(fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/129600 binary64) #s(literal -1/144 binary64))
(- (* 1/129600 (pow x 4)) 1/144)
(fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/129600 binary64) #s(literal -1/144 binary64))
(- (* 1/129600 (pow x 4)) 1/144)
(fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/129600 binary64) #s(literal -1/144 binary64))
(* 1/129600 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64))
(* (pow x 4) (- 1/129600 (* 1/144 (/ 1 (pow x 4)))))
(fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/129600 binary64) #s(literal -1/144 binary64))
(* (pow x 4) (- 1/129600 (* 1/144 (/ 1 (pow x 4)))))
(fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/129600 binary64) #s(literal -1/144 binary64))
(* (pow x 4) (- 1/129600 (* 1/144 (/ 1 (pow x 4)))))
(fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/129600 binary64) #s(literal -1/144 binary64))
(* 1/129600 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64))
(* (pow x 4) (- 1/129600 (* 1/144 (/ 1 (pow x 4)))))
(fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/129600 binary64) #s(literal -1/144 binary64))
(* (pow x 4) (- 1/129600 (* 1/144 (/ 1 (pow x 4)))))
(fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/129600 binary64) #s(literal -1/144 binary64))
(* (pow x 4) (- 1/129600 (* 1/144 (/ 1 (pow x 4)))))
(fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/129600 binary64) #s(literal -1/144 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* -1/144 x)
(*.f64 x #s(literal -1/144 binary64))
(* x (- (* 1/129600 (pow x 4)) 1/144))
(.f64 x (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)))
(* x (- (* 1/129600 (pow x 4)) 1/144))
(.f64 x (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)))
(* x (- (* 1/129600 (pow x 4)) 1/144))
(.f64 x (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)))
(* 1/129600 (pow x 5))
(.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 x #s(literal 1/129600 binary64)))
(* (pow x 5) (- 1/129600 (* 1/144 (/ 1 (pow x 4)))))
(.f64 x (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)))
(* (pow x 5) (- 1/129600 (* 1/144 (/ 1 (pow x 4)))))
(.f64 x (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)))
(* (pow x 5) (- 1/129600 (* 1/144 (/ 1 (pow x 4)))))
(.f64 x (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)))
(* 1/129600 (pow x 5))
(.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 x #s(literal 1/129600 binary64)))
(* -1 (* (pow x 5) (- (* 1/144 (/ 1 (pow x 4))) 1/129600)))
(.f64 x (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)))
(* -1 (* (pow x 5) (- (* 1/144 (/ 1 (pow x 4))) 1/129600)))
(.f64 x (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)))
(* -1 (* (pow x 5) (- (* 1/144 (/ 1 (pow x 4))) 1/129600)))
(.f64 x (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)))

eval217.0ms (2.4%)

Memory: 1.8MiB live, 462.2MiB allocated
Compiler: Compiled 54 678 to 4 354 computations (92% saved)

prune157.0ms (1.8%)

Memory

-0.9MiB live, 362.5MiB allocated

Pruning

36 alts after pruning (27 fresh and 9 done)

	Pruned	Kept	Total
New	1 554	12	1 566
Fresh	4	15	19
Picked	3	2	5
Done	0	7	7
Total	1 561	36	1 597

Accuracy

100.0%

Counts

1 597 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.2%	(fma.f64 (.f64 x x) (fma.f64 (.f64 x 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))
	49.1%	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓	49.2%	(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
	46.5%	(/.f64 (/.f64 #s(literal 720 binary64) x) (.f64 x (.f64 x (.f64 x (.f64 x x)))))
	46.5%	(/.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))) (.f64 x (.f64 x (*.f64 x x))))
	30.5%	(/.f64 (/.f64 #s(literal 2 binary64) x) x)
	46.5%	(/.f64 #s(literal 720 binary64) (.f64 (.f64 x (.f64 x (.f64 x (*.f64 x x)))) x))
	46.5%	(/.f64 #s(literal 720 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))
	46.5%	(/.f64 #s(literal 720 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x))))
	41.1%	(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (*.f64 x x))))
	66.6%	(/.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64) #s(literal -1/144 binary64))) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))) x (fma.f64 x x #s(literal 2 binary64))))
	57.9%	(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))) #s(literal -1 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))
	65.8%	(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 (.f64 x x) (/.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64)) x) (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64)))) x (fma.f64 x x #s(literal 2 binary64))))
✓	93.3%	(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))) x (fma.f64 x x #s(literal 2 binary64))))
	65.9%	(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 x (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)) x) (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
✓	93.3%	(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
	56.8%	(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))) #s(literal -1 binary64)) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))
	93.3%	(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) x)) x) #s(literal 2 binary64)))
	50.0%	(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (.f64 x x) (/.f64 x (fma.f64 x (.f64 x #s(literal -2/5 binary64)) #s(literal 12 binary64))) x) #s(literal 2 binary64)))
✓	76.8%	(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
	46.5%	(/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/360 binary64)) (.f64 x x)))
	46.5%	(/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/360 binary64)))
	46.5%	(/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) #s(literal 1/360 binary64))))
	41.1%	(/.f64 #s(literal 2 binary64) (.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)))
	40.8%	(/.f64 #s(literal 2 binary64) (.f64 x (.f64 (.f64 (.f64 x #s(literal 1/12 binary64)) x) x)))
	40.8%	(/.f64 #s(literal 2 binary64) (.f64 x (.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) x)))
	46.6%	(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))))
	46.5%	(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x x)))))))
✓	40.8%	(/.f64 #s(literal 2 binary64) (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x)))))
	46.5%	(/.f64 #s(literal 2 binary64) (.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x)))))))
✓	30.6%	(/.f64 #s(literal 2 binary64) (*.f64 x x))
✓	100.0%	(/.f64 #s(literal 1 binary64) (cosh.f64 x))
	56.7%	(.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) (.f64 x #s(literal 1/12 binary64)) x) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/12 binary64)) x)) #s(literal -4 binary64))) (fma.f64 x (fma.f64 (.f64 x x) (*.f64 x #s(literal 1/12 binary64)) x) #s(literal -2 binary64)))
	46.5%	(.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (*.f64 x #s(literal 1/360 binary64)))))
	46.5%	(.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal 1/360 binary64))))))
✓	49.6%	#s(literal 1 binary64)

Compiler

Compiled 1 542 to 556 computations (63.9% saved)

regimes45.0ms (0.5%)

Memory

-11.4MiB live, 65.4MiB allocated

Counts

55 → 1

Calls

Call 1

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

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

Calls

3 calls:

16.0ms	x
14.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
12.0ms	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Results

Accuracy	Segments	Branch
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)

regimes41.0ms (0.5%)

Memory

25.2MiB live, 63.6MiB allocated

Counts

53 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

14.0ms	x
13.0ms	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
12.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
95.8%	2	`x`
93.3%	1	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
93.3%	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes19.0ms (0.2%)

Memory

-34.3MiB live, 29.3MiB allocated

Counts

52 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

17.0ms

Results

Accuracy	Segments	Branch
95.0%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes59.0ms (0.7%)

Memory

-7.1MiB live, 68.9MiB allocated

Counts

50 → 1

Calls

Call 1

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

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

Calls

3 calls:

31.0ms	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
15.0ms	x
11.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
93.3%	1	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
93.3%	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
93.3%	1	`x`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes29.0ms (0.3%)

Memory

30.5MiB live, 30.5MiB allocated

Counts

37 → 1

Calls

Call 1

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

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

Results

Accuracy	Segments	Branch
93.3%	1	`x`
93.3%	1	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
93.3%	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes38.0ms (0.4%)

Memory

-40.9MiB live, 42.0MiB allocated

Counts

31 → 1

Calls

Call 1

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

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

Calls

3 calls:

19.0ms	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
9.0ms	x
7.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
92.9%	1	`x`
92.9%	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
92.9%	1	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes24.0ms (0.3%)

Memory

34.5MiB live, 34.5MiB allocated

Counts

29 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
93.2%	2	`x`
93.2%	2	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
93.2%	2	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes16.0ms (0.2%)

Memory

-10.6MiB live, 27.7MiB allocated

Counts

28 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
93.2%	2	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
93.2%	2	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`

Compiler

Compiled 16 to 12 computations (25% saved)

regimes17.0ms (0.2%)

Memory

-9.9MiB live, 28.5MiB allocated

Counts

17 → 1

Calls

Call 1

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

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:

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

Results

Accuracy	Segments	Branch
87.4%	1	`x`
87.4%	1	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
87.4%	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes12.0ms (0.1%)

Memory

22.9MiB live, 22.9MiB allocated

Counts

13 → 2

Calls

Call 1

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

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

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
87.7%	2	`x`
87.7%	2	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
87.7%	2	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes11.0ms (0.1%)

Memory

-18.7MiB live, 18.1MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
3.0ms	x
2.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
76.8%	1	`x`
76.8%	1	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
76.8%	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes5.0ms (0.1%)

Memory

12.4MiB live, 12.4MiB 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
76.8%	2	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
76.8%	2	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
76.8%	2	`x`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes4.0ms (0%)

Memory

11.1MiB live, 11.1MiB allocated

Accuracy

Total -0.4b remaining (-1.3%)

Threshold costs -0.4b (-1.3%)

Counts

2 → 1

Calls

Call 1

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

Outputs
#s(literal 1 binary64)

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
49.6%	1	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
49.6%	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
49.6%	1	`x`

Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch10.0ms (0.1%)

Memory

-27.5MiB live, 16.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
9.0ms	4.697768024414337e+74	1.7318829642718426e+77

Samples

4.0ms

80×

valid

Compiler

Compiled 292 to 131 computations (55.1% saved)

Precisions

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

ival-exp: 1.0ms (43.3% of total)

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

ival-true: 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)

bsearch8.0ms (0.1%)

Memory

15.8MiB live, 15.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
7.0ms	4.697768024414337e+74	1.7318829642718426e+77

Samples

4.0ms

80×

valid

Compiler

Compiled 257 to 116 computations (54.9% saved)

Precisions

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

ival-div: 1.0ms (42.1% of total)

ival-exp: 1.0ms (42.1% of total)

ival-true: 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)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9958709221150901

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.00829239571759	+inf

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.00829239571759	+inf

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch15.0ms (0.2%)

Memory

-10.2MiB live, 28.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	0.09103115799552969	246092.1244983857

Samples

8.0ms

144×

valid

Compiler

Compiled 147 to 110 computations (25.2% saved)

Precisions

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

ival-exp: 3.0ms (55.6% of total)

ival-div: 1.0ms (18.5% of total)

ival-add: 1.0ms (18.5% of total)

ival-neg: 1.0ms (18.5% of total)

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

exact: 0.0ms (0% of total)

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

simplify13.0ms (0.1%)

Memory

-13.7MiB live, 23.7MiB allocated

Algorithm

1×	egg-herbie

Rules

44×	`*-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	94	308
1	120	308
2	122	308
3	123	308

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(if (<=.f64 x #s(literal 149999999999999990989639731795917682953773097706373436242150705195545389957120 binary64)) (/.f64 #s(literal 2 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))) #s(literal -1 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(if (<=.f64 x #s(literal 149999999999999990989639731795917682953773097706373436242150705195545389957120 binary64)) (.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) (.f64 x #s(literal 1/12 binary64)) x) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/12 binary64)) x)) #s(literal -4 binary64))) (fma.f64 x (fma.f64 (.f64 x x) (.f64 x #s(literal 1/12 binary64)) x) #s(literal -2 binary64))) (/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (.f64 x x)))))
(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))) x (fma.f64 x x #s(literal 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 2 binary64) (fma.f64 x (.f64 (.f64 x x) (.f64 x (.f64 (*.f64 x x) #s(literal 1/360 binary64)))) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #s(literal 0 binary64)) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 4 binary64)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 720 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64)))
(if (<=.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 4 binary64)) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
(if (<=.f64 x #s(literal 5/4 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 149999999999999990989639731795917682953773097706373436242150705195545389957120 binary64)) (/.f64 #s(literal 2 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))) #s(literal -1 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(if (<=.f64 x #s(literal 149999999999999990989639731795917682953773097706373436242150705195545389957120 binary64)) (/.f64 #s(literal 2 binary64) (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(if (<=.f64 x #s(literal 149999999999999990989639731795917682953773097706373436242150705195545389957120 binary64)) (.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) (.f64 x #s(literal 1/12 binary64)) x) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/12 binary64)) x)) #s(literal -4 binary64))) (fma.f64 x (fma.f64 (.f64 x x) (.f64 x #s(literal 1/12 binary64)) x) #s(literal -2 binary64))) (/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (.f64 x x)))))
(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))) x (fma.f64 x x #s(literal 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 2 binary64) (fma.f64 x (.f64 (.f64 x x) (.f64 x (.f64 (*.f64 x x) #s(literal 1/360 binary64)))) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #s(literal 0 binary64)) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 4 binary64)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 720 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64)))
(if (<=.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 4 binary64)) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
(if (<=.f64 x #s(literal 5/4 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)

soundness1.8s (20.2%)

Memory

27.2MiB live, 1 015.6MiB allocated

Rules

15 580×	`accelerator-lowering-fma.f32`
15 580×	`accelerator-lowering-fma.f64`
12 120×	`accelerator-lowering-fma.f32`
12 120×	`accelerator-lowering-fma.f64`
8 904×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	175
1	191	153
2	1436	153
0	8100	135
0	25	137
1	165	125
2	1261	125
0	8372	108
0	66	307
1	162	306
2	359	302
3	921	302
4	1406	302
5	2068	302
6	3397	302
7	4663	302
8	5970	302
9	7535	302
0	8007	280
0	89	1446
1	251	1446
2	609	1430
3	1598	1430
4	4896	1422
5	7130	1422
0	8037	1323
0	169	1534
1	492	1502
2	1238	1500
3	3423	1478
4	6830	1478
0	8080	1388
0	7	17
1	37	15
2	252	15
3	2361	15
0	9050	15

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×	node limit

Compiler

Compiled 614 to 274 computations (55.4% saved)

preprocess134.0ms (1.5%)

Memory: 8.8MiB live, 123.5MiB allocated
Remove: (abs x)
Compiler: Compiled 646 to 210 computations (67.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	12	24
1	30	24
2	59	24
3	102	24
4	139	24
5	183	24
6	211	24
7	219	24
8	225	24
9	235	24
10	243	24
0	7	8
1	14	8
2	20	8
3	24	8
4	28	8
5	34	8
6	41	8
7	45	8
8	47	8
9	48	8
0	48	8

Iter	Nodes	Cost
0	12	24
1	30	24
2	59	24
3	102	24
4	139	24
5	183	24
6	211	24
7	219	24
8	225	24
9	235	24
10	243	24
0	7	8
1	14	8
2	20	8
3	24	8
4	28	8
5	34	8
6	41	8
7	45	8
8	47	8
9	48	8
0	48	8

analyze0.0ms (0%)

sample636.0ms (7.2%)

preprocess18.0ms (0.2%)

explain91.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify12.0ms (0.1%)

localize24.0ms (0.3%)

series3.0ms (0%)

rewrite696.0ms (7.8%)

simplify357.0ms (4%)

eval58.0ms (0.7%)

prune67.0ms (0.8%)

simplify284.0ms (3.2%)

localize115.0ms (1.3%)

series14.0ms (0.2%)

rewrite441.0ms (5%)

simplify633.0ms (7.1%)

eval113.0ms (1.3%)

prune81.0ms (0.9%)

simplify31.0ms (0.3%)

localize110.0ms (1.2%)

series10.0ms (0.1%)

rewrite429.0ms (4.8%)

simplify290.0ms (3.3%)

eval186.0ms (2.1%)

prune106.0ms (1.2%)

simplify281.0ms (3.2%)

localize153.0ms (1.7%)

series16.0ms (0.2%)

rewrite639.0ms (7.2%)

simplify310.0ms (3.5%)

eval217.0ms (2.4%)

prune157.0ms (1.8%)

regimes45.0ms (0.5%)

regimes41.0ms (0.5%)

regimes19.0ms (0.2%)

regimes59.0ms (0.7%)

regimes29.0ms (0.3%)

regimes38.0ms (0.4%)

regimes24.0ms (0.3%)

regimes16.0ms (0.2%)

regimes17.0ms (0.2%)

regimes12.0ms (0.1%)

regimes11.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0%)

bsearch10.0ms (0.1%)

bsearch8.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch15.0ms (0.2%)

simplify13.0ms (0.1%)

soundness1.8s (20.2%)

preprocess134.0ms (1.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	12	24
1	30	24
2	59	24
3	102	24
4	139	24
5	183	24
6	211	24
7	219	24
8	225	24
9	235	24
10	243	24
0	7	8
1	14	8
2	20	8
3	24	8
4	28	8
5	34	8
6	41	8
7	45	8
8	47	8
9	48	8
0	48	8