Metrics for Hyperbolic secant

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB 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)

sample616.0ms (6.6%)

Memory

24.3MiB live, 828.3MiB allocated

Samples

410.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 271.0ms

ival-exp: 137.0ms (50.6% of total)

ival-div: 53.0ms (19.6% of total)

ival-add: 40.0ms (14.8% of total)

ival-neg: 30.0ms (11.1% of total)

ival-true: 5.0ms (1.8% of total)

exact: 4.0ms (1.5% of total)

ival-assert: 3.0ms (1.1% of total)

Bogosity

preprocess21.0ms (0.2%)

Memory

30.6MiB live, 30.6MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs x)

explain97.0ms (1%)

Memory

-5.8MiB live, 180.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
256	-	256	(5.475704295094809e-191)	`(neg.f64 x)`
256	-	255	(5.475704295094809e-191)	`(exp.f64 (neg.f64 x))`
256	-	256	(5.475704295094809e-191)	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
256	-	256	(5.475704295094809e-191)	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
126	-	126	(5.475704295094809e-191)	`(exp.f64 x)`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	1	255

Precision

0.0

Recall

0/0

Confusion?

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

Precision?

0.0

Recall?

0/0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

0.0

Recall?

0/0

Samples

29.0ms

512×

valid

Compiler

Compiled 92 to 39 computations (57.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-exp: 9.0ms (52% of total)

ival-div: 3.0ms (17.3% of total)

ival-add: 2.0ms (11.6% of total)

ival-neg: 2.0ms (11.6% 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

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify6.0ms (0.1%)

Memory

11.1MiB live, 11.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize34.0ms (0.4%)

Memory

-13.4MiB live, 45.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	10.0%	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
✓	accuracy	3.8%	(exp.f64 (neg.f64 x))
✓	accuracy	2.3%	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	accuracy	1.3%	(neg.f64 x)

Samples

25.0ms

256×

valid

Compiler

Compiled 49 to 16 computations (67.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-neg: 13.0ms (66.2% of total)

ival-exp: 3.0ms (15.3% of total)

ival-div: 2.0ms (10.2% of total)

ival-add: 1.0ms (5.1% 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

7.0MiB live, 7.0MiB allocated

Counts

5 → 60

Calls

Call 1

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

Outputs
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (- (* 5/48 (pow x 2)) 1/4)))>
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 5/48 (* -61/1440 (pow x 2)))) 1/4)))>
#<alt (/ 1 (+ (exp x) (exp (neg x))))>
#<alt (/ 1 (+ (exp x) (exp (neg x))))>
#<alt (/ 1 (+ (exp x) (exp (neg x))))>
#<alt (/ 1 (+ (exp x) (exp (neg x))))>
#<alt (/ 1 (+ (exp x) (exp (* -1 x))))>
#<alt (/ 1 (+ (exp x) (exp (* -1 x))))>
#<alt (/ 1 (+ (exp x) (exp (* -1 x))))>
#<alt (/ 1 (+ (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	@	-inf	(neg x)

Compiler

Compiled 102 to 77 computations (24.5% saved)

rewrite278.0ms (3%)

Memory

-3.1MiB live, 471.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	21
0	12	17
1	42	15
2	257	15
3	2370	15
0	9064	15

Stop Event

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

Counts

5 → 428

Calls

Call 1

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

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

simplify427.0ms (4.5%)

Memory

-28.3MiB live, 374.6MiB allocated

Algorithm

1×	egg-herbie

Rules

13 094×	`lower-fma.f64`
13 094×	`lower-fma.f32`
3 282×	`lower-*.f64`
3 282×	`lower-*.f32`
2 248×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	307
1	163	306
2	359	302
3	911	302
4	1390	302
5	2055	302
6	3334	302
7	4548	302
8	5411	302
9	6585	302
10	7388	302
11	7678	302
12	7896	302
0	8009	280

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

Inputs
1/2
(+ 1/2 (* -1/4 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 5/48 (pow x 2)) 1/4)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 5/48 (* -61/1440 (pow x 2)))) 1/4)))
(/ 1 (+ (exp x) (exp (neg x))))
(/ 1 (+ (exp x) (exp (neg x))))
(/ 1 (+ (exp x) (exp (neg x))))
(/ 1 (+ (exp x) (exp (neg x))))
(/ 1 (+ (exp x) (exp (* -1 x))))
(/ 1 (+ (exp x) (exp (* -1 x))))
(/ 1 (+ (exp x) (exp (* -1 x))))
(/ 1 (+ (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
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 (pow x 2)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 5/48 (pow x 2)) 1/4)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 5/48 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 5/48 (* -61/1440 (pow x 2)))) 1/4)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -61/1440 binary64)) #s(literal 5/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/ 1 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 1 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 1 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 1 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 1 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 1 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 1 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 1 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 1 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 (.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))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #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 #s(literal 1/2 binary64) x #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)

eval51.0ms (0.5%)

Memory: 19.0MiB live, 95.3MiB allocated
Compiler: Compiled 8 941 to 1 538 computations (82.8% saved)

prune60.0ms (0.6%)

Memory

6.0MiB live, 117.9MiB 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
	49.6%	(/.f64 (.f64 #s(literal 4 binary64) (sinh.f64 x)) (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))
▶	91.1%	(/.f64 #s(literal 2 binary64) (fma.f64 (.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)))
	85.1%	(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64)))
▶	74.9%	(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
	50.1%	(/.f64 #s(literal 2 binary64) #s(literal 2 binary64))
▶	100.0%	(/.f64 #s(literal 1 binary64) (cosh.f64 x))
▶	49.6%	(.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))))
▶	10.8%	#s(literal 1/2 binary64)

Compiler

Compiled 160 to 108 computations (32.5% saved)

simplify232.0ms (2.5%)

Memory

-18.7MiB live, 368.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(cosh.f64 (+.f64 x x))
✓	cost-diff	0	(fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64))
✓	cost-diff	320	(/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x #s(literal 3 binary64)))))
✓	cost-diff	320	(.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))))
✓	cost-diff	0	(fma.f64 x (.f64 x (fma.f64 x (.f64 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 x (*.f64 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 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
✓	cost-diff	0	(fma.f64 x x #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
✓	cost-diff	0	(cosh.f64 x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (cosh.f64 x))

Rules

6 278×	`lower-fma.f32`
6 268×	`lower-fma.f64`
3 910×	`lower-*.f32`
3 898×	`lower-*.f64`
1 582×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	146
0	50	142
1	102	142
2	235	140
3	585	138
4	1451	138
5	2370	138
6	5190	138
0	8052	136

Stop Event

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

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
#s(literal 1 binary64)
(cosh.f64 x)
x
#s(literal 1/2 binary64)
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
#s(literal 2 binary64)
(fma.f64 x x #s(literal 2 binary64))
x
(/.f64 #s(literal 2 binary64) (fma.f64 (.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)))
#s(literal 2 binary64)
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 x 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))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(*.f64 x #s(literal 1/360 binary64))
#s(literal 1/360 binary64)
#s(literal 1/12 binary64)
#s(literal 1 binary64)
(.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))))
(fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64))
#s(literal 2 binary64)
(cosh.f64 (+.f64 x x))
(+.f64 x x)
x
#s(literal -1 binary64)
(/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x #s(literal 3 binary64)))))
(.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x #s(literal 3 binary64))))
(cosh.f64 (*.f64 x #s(literal 3 binary64)))
(*.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)

Outputs
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
#s(literal 1 binary64)
(cosh.f64 x)
x
#s(literal 1/2 binary64)
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
#s(literal 2 binary64)
(fma.f64 x x #s(literal 2 binary64))
x
(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64)))
#s(literal 2 binary64)
(fma.f64 (.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))
(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 x 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))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(*.f64 x #s(literal 1/360 binary64))
#s(literal 1/360 binary64)
#s(literal 1/12 binary64)
#s(literal 1 binary64)
(.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)) (cosh.f64 (*.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64))
#s(literal 2 binary64)
(cosh.f64 (+.f64 x x))
(+.f64 x x)
x
#s(literal -1 binary64)
(/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))
(.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x #s(literal 3 binary64))))
(cosh.f64 (*.f64 x #s(literal 3 binary64)))
(*.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)

localize220.0ms (2.3%)

Memory

19.7MiB live, 255.9MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	54.6%	(cosh.f64 (+.f64 x x))
✓	accuracy	50.4%	(*.f64 x #s(literal 3 binary64))
✓	accuracy	50.4%	(.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))))
✓	accuracy	50.4%	(/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x #s(literal 3 binary64)))))
✓	accuracy	51.7%	(*.f64 x x)
✓	accuracy	50.7%	(*.f64 x #s(literal 1/360 binary64))
✓	accuracy	50.6%	(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))
✓	accuracy	50.2%	(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
✓	accuracy	96.5%	(fma.f64 x x #s(literal 2 binary64))
✓	accuracy	57.2%	(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
✓	accuracy	100.0%	(cosh.f64 x)
✓	accuracy	50.4%	(/.f64 #s(literal 1 binary64) (cosh.f64 x))

Samples

135.0ms	122×	5	exit
48.0ms	134×	0	valid

Compiler

Compiled 309 to 60 computations (80.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 95.0ms

adjust: 34.0ms (35.9% of total)

ival-mult: 21.0ms (22.2% of total)

ival-cosh: 13.0ms (13.7% of total)

ival-add: 10.0ms (10.6% of total)

ival-div: 8.0ms (8.5% of total)

const: 8.0ms (8.5% of total)

exact: 1.0ms (1.1% of total)

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

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

series29.0ms (0.3%)

Memory

4.7MiB live, 42.2MiB allocated

Counts

15 → 180

Calls

Call 1

Inputs
#<alt (/.f64 #s(literal 1 binary64) (cosh.f64 x))>
#<alt (cosh.f64 x)>
#<alt (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))>
#<alt (fma.f64 x x #s(literal 2 binary64))>
#<alt (/.f64 #s(literal 2 binary64) (fma.f64 (.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)))>
#<alt (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))>
#<alt (*.f64 x x)>
#<alt (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64))>
#<alt (.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))))>
#<alt (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x #s(literal 3 binary64)))))>
#<alt (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64))>
#<alt (cosh.f64 (+.f64 x x))>
#<alt (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))>
#<alt (*.f64 x #s(literal 1/360 binary64))>
#<alt (*.f64 x #s(literal 3 binary64))>

Outputs
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))>
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 x))>
#<alt (+ 1/2 (* x (- (* 1/8 x) 1/4)))>
#<alt (+ 1/2 (* x (- (* x (+ 1/8 (* -1/16 x))) 1/4)))>
#<alt (/ 1 x)>
#<alt (/ (- 1 (* 2 (/ 1 x))) x)>
#<alt (/ (- (+ 1 (/ 4 (pow x 2))) (* 2 (/ 1 x))) x)>
#<alt (/ (- (+ 1 (/ 4 (pow x 2))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (pow x 3))))) x)>
#<alt (/ -1 x)>
#<alt (* -1 (/ (+ 1 (* 2 (/ 1 x))) x))>
#<alt (* -1 (/ (+ 1 (+ (* 2 (/ 1 x)) (/ 4 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 x))) x)) 2) x))) x))>
#<alt 2>
#<alt (+ 2 x)>
#<alt (+ 2 x)>
#<alt (+ 2 x)>
#<alt x>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- 1 (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- 1 (* 2 (/ 1 x)))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 x))>
#<alt (+ 1/2 (* x (- (* 5/48 x) 1/4)))>
#<alt (+ 1/2 (* x (- (* x (+ 5/48 (* -61/1440 x))) 1/4)))>
#<alt (/ 360 (pow x 10))>
#<alt (/ 360 (pow x 10))>
#<alt (/ (- 360 (* 10800 (/ 1 (pow x 7)))) (pow x 10))>
#<alt (/ (+ 360 (* -1 (/ (+ 10800 (* 129600 (/ 1 (pow x 2)))) (pow x 7)))) (pow x 10))>
#<alt (/ 360 (pow x 10))>
#<alt (/ 360 (pow x 10))>
#<alt (/ (+ 360 (* 10800 (/ 1 (pow x 7)))) (pow x 10))>
#<alt (/ (+ 360 (+ (* 10800 (/ 1 (pow x 7))) (/ 129600 (pow x 9)))) (pow x 10))>
#<alt 2>
#<alt (+ 2 x)>
#<alt (+ 2 (* x (+ 1 (* 1/12 x))))>
#<alt (+ 2 (* x (+ 1 (* x (+ 1/12 (* 1/360 x))))))>
#<alt (* 1/360 (pow x 10))>
#<alt (* 1/360 (pow x 10))>
#<alt (* (pow x 10) (+ 1/360 (* 1/12 (/ 1 (pow x 7)))))>
#<alt (* (pow x 10) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 7))) (/ 1 (pow x 9)))))>
#<alt (* 1/360 (pow x 10))>
#<alt (* 1/360 (pow x 10))>
#<alt (* (pow x 10) (- 1/360 (* 1/12 (/ 1 (pow x 7)))))>
#<alt (* (pow x 10) (+ 1/360 (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 7)))))>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<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 (* 1/12 (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 (* 1/12 (pow x 7))>
#<alt (* (pow x 7) (+ 1/12 (* 1/360 (/ 1 (pow x 4)))))>
#<alt (* (pow x 7) (+ 1/12 (+ (* 1/360 (/ 1 (pow x 4))) (/ 1 (pow x 7)))))>
#<alt (* (pow x 7) (+ 1/12 (+ (* 1/360 (/ 1 (pow x 4))) (/ 1 (pow x 7)))))>
#<alt (* -1/12 (pow x 7))>
#<alt (* -1 (* (pow x 7) (+ 1/12 (* 1/360 (/ 1 (pow x 4))))))>
#<alt (* -1 (* (pow x 7) (- (+ 1/12 (* 1/360 (/ 1 (pow x 4)))) (/ 1 (pow x 7)))))>
#<alt (* -1 (* (pow x 7) (- (+ 1/12 (* 1/360 (/ 1 (pow x 4)))) (/ 1 (pow x 7)))))>
#<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 (* 2 x)) (/ 1 (exp (* 2 x)))) 1) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))))>
#<alt (* 2 (/ (- (+ (exp (* 2 x)) (/ 1 (exp (* 2 x)))) 1) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))))>
#<alt (* 2 (/ (- (+ (exp (* 2 x)) (/ 1 (exp (* 2 x)))) 1) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))))>
#<alt (* 2 (/ (- (+ (exp (* 2 x)) (/ 1 (exp (* 2 x)))) 1) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))))>
#<alt (* 2 (/ (- (+ (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))) 1) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))))>
#<alt (* 2 (/ (- (+ (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))) 1) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))))>
#<alt (* 2 (/ (- (+ (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))) 1) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))))>
#<alt (* 2 (/ (- (+ (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))) 1) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))))>
#<alt 1>
#<alt (+ 1 (* -9/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 135/8 (pow x 2)) 9/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 135/8 (* -4941/80 (pow x 2)))) 9/2)))>
#<alt (/ 2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))>
#<alt (/ 2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))>
#<alt (/ 2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))>
#<alt (/ 2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))>
#<alt (/ 2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))>
#<alt (/ 2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))>
#<alt (/ 2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))>
#<alt (/ 2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))>
#<alt 1>
#<alt (+ 1 (* 4 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 4 (* 4/3 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 4 (* (pow x 2) (+ 4/3 (* 8/45 (pow x 2)))))))>
#<alt (- (+ (exp (* 2 x)) (/ 1 (exp (* 2 x)))) 1)>
#<alt (- (+ (exp (* 2 x)) (/ 1 (exp (* 2 x)))) 1)>
#<alt (- (+ (exp (* 2 x)) (/ 1 (exp (* 2 x)))) 1)>
#<alt (- (+ (exp (* 2 x)) (/ 1 (exp (* 2 x)))) 1)>
#<alt (- (+ (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))) 1)>
#<alt (- (+ (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))) 1)>
#<alt (- (+ (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))) 1)>
#<alt (- (+ (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))) 1)>
#<alt 1>
#<alt (+ 1 (* 2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 2 (* 2/3 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2/3 (* 4/45 (pow x 2)))))))>
#<alt (* 1/2 (+ (exp (* 2 x)) (/ 1 (exp (* 2 x)))))>
#<alt (* 1/2 (+ (exp (* 2 x)) (/ 1 (exp (* 2 x)))))>
#<alt (* 1/2 (+ (exp (* 2 x)) (/ 1 (exp (* 2 x)))))>
#<alt (* 1/2 (+ (exp (* 2 x)) (/ 1 (exp (* 2 x)))))>
#<alt (* 1/2 (+ (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))))>
#<alt (* 1/2 (+ (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))))>
#<alt (* 1/2 (+ (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))))>
#<alt (* 1/2 (+ (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))))>
#<alt 1/12>
#<alt (+ 1/12 (* 1/360 (pow x 3)))>
#<alt (+ 1/12 (* 1/360 (pow x 3)))>
#<alt (+ 1/12 (* 1/360 (pow x 3)))>
#<alt (* 1/360 (pow x 4))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 4)))))>
#<alt (* 1/360 (pow x 4))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 4)))))>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>

Calls

45 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(/ 1 (cosh x))
3.0ms	x	@	inf	(+ (* x (* x 1/360)) 1/12)
2.0ms	x	@	-inf	(* (+ (* 2 (cosh (+ x x))) -1) (/ 2 (* 2 (cosh (* x 3)))))
2.0ms	x	@	inf	(* (+ (* 2 (cosh (+ x x))) -1) (/ 2 (* 2 (cosh (* x 3)))))
1.0ms	x	@	0	(+ (* x (* x (+ (* x (* x 1/360)) 1/12))) 1)

Compiler

Compiled 450 to 342 computations (24% saved)

rewrite102.0ms (1.1%)

Memory

-21.3MiB live, 136.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

788×	`lower-*.f32`
776×	`lower-*.f64`
744×	`lower-fma.f32`
734×	`lower-fma.f64`
584×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	111
0	49	107
1	202	103
0	1388	101

Stop Event

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

Counts

15 → 225

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(cosh.f64 x)
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
(fma.f64 x x #s(literal 2 binary64))
(/.f64 #s(literal 2 binary64) (fma.f64 (.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)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 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))
(.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))))
(/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x #s(literal 3 binary64)))))
(fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64))
(cosh.f64 (+.f64 x x))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(*.f64 x #s(literal 1/360 binary64))
(*.f64 x #s(literal 3 binary64))

Outputs
(exp.f64 (*.f64 (log.f64 (cosh.f64 x)) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (cosh.f64 x)))
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (cosh.f64 x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (cosh.f64 x)))
(pow.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 -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (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))
(cosh.f64 x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (cosh.f64 x) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(/.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 (cosh.f64 x) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 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) (/.f64 (*.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 (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) (neg.f64 (fma.f64 x x #s(literal 2 binary64))))
(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 -2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (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))) (-.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 4 binary64)) (.f64 x (+.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 #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))) (/.f64 #s(literal 4 binary64) (fma.f64 x x #s(literal -2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 x x #s(literal 2 binary64))
(fma.f64 x (*.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 2 binary64))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) x) x #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 4 binary64)) (.f64 x (+.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 (fma.f64 x x #s(literal -2 binary64)) (fma.f64 x (.f64 x (.f64 x x)) #s(literal -4 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 8 binary64)) (-.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 4 binary64)) (*.f64 x (+.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) (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (+.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 (-.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 4 binary64)) (*.f64 x (+.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 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 4 binary64)) (.f64 x (+.f64 x x)))))
(.f64 (fma.f64 x (.f64 x (*.f64 x x)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -2 binary64))))
(neg.f64 (/.f64 #s(literal -2 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 1 binary64) (.f64 (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)) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (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)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 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 2 binary64) (neg.f64 (neg.f64 (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 -1 binary64) (neg.f64 (.f64 (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)) #s(literal 1/2 binary64))))
(/.f64 #s(literal -2 binary64) (neg.f64 (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))))
(pow.f64 (.f64 (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)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 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 2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (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 #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))) #s(literal 2 binary64))
(.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (.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))) (.f64 (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 (.f64 x x) (.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 8 binary64))) (-.f64 (fma.f64 (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 (.f64 x x) (.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 4 binary64)) (.f64 (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 x)))))
(.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (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 (.f64 x x) (.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 -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 #s(literal 2 binary64) (.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))))
(+.f64 (.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 x x) (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))) (fma.f64 x x #s(literal 2 binary64)))
(+.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))))) (.f64 x x))
(-.f64 (/.f64 (.f64 (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 (.f64 x x) (.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))))) (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))))
(fma.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))
(fma.f64 x (.f64 x (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))) (fma.f64 x x #s(literal 2 binary64)))
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(*.f64 x #s(literal 1/360 binary64))
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(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x)

simplify379.0ms (4%)

Memory

-4.4MiB live, 473.3MiB allocated

Algorithm

1×	egg-herbie

Rules

12 402×	`lower-fma.f64`
12 402×	`lower-fma.f32`
4 378×	`lower-*.f64`
4 378×	`lower-*.f32`
3 134×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	256	1534
1	694	1490
2	1612	1436
3	3918	1429
4	7467	1429
0	8071	1326

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 167

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))))
1/2
(+ 1/2 (* -1/4 x))
(+ 1/2 (* x (- (* 1/8 x) 1/4)))
(+ 1/2 (* x (- (* x (+ 1/8 (* -1/16 x))) 1/4)))
(/ 1 x)
(/ (- 1 (* 2 (/ 1 x))) x)
(/ (- (+ 1 (/ 4 (pow x 2))) (* 2 (/ 1 x))) x)
(/ (- (+ 1 (/ 4 (pow x 2))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (pow x 3))))) x)
(/ -1 x)
(* -1 (/ (+ 1 (* 2 (/ 1 x))) x))
(* -1 (/ (+ 1 (+ (* 2 (/ 1 x)) (/ 4 (pow x 2)))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 x))) x)) 2) x))) x))
2
(+ 2 x)
(+ 2 x)
(+ 2 x)
x
(* x (+ 1 (* 2 (/ 1 x))))
(* x (+ 1 (* 2 (/ 1 x))))
(* x (+ 1 (* 2 (/ 1 x))))
(* -1 x)
(* -1 (* x (- 1 (* 2 (/ 1 x)))))
(* -1 (* x (- 1 (* 2 (/ 1 x)))))
(* -1 (* x (- 1 (* 2 (/ 1 x)))))
1/2
(+ 1/2 (* -1/4 x))
(+ 1/2 (* x (- (* 5/48 x) 1/4)))
(+ 1/2 (* x (- (* x (+ 5/48 (* -61/1440 x))) 1/4)))
(/ 360 (pow x 10))
(/ 360 (pow x 10))
(/ (- 360 (* 10800 (/ 1 (pow x 7)))) (pow x 10))
(/ (+ 360 (* -1 (/ (+ 10800 (* 129600 (/ 1 (pow x 2)))) (pow x 7)))) (pow x 10))
(/ 360 (pow x 10))
(/ 360 (pow x 10))
(/ (+ 360 (* 10800 (/ 1 (pow x 7)))) (pow x 10))
(/ (+ 360 (+ (* 10800 (/ 1 (pow x 7))) (/ 129600 (pow x 9)))) (pow x 10))
2
(+ 2 x)
(+ 2 (* x (+ 1 (* 1/12 x))))
(+ 2 (* x (+ 1 (* x (+ 1/12 (* 1/360 x))))))
(* 1/360 (pow x 10))
(* 1/360 (pow x 10))
(* (pow x 10) (+ 1/360 (* 1/12 (/ 1 (pow x 7)))))
(* (pow x 10) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 7))) (/ 1 (pow x 9)))))
(* 1/360 (pow x 10))
(* 1/360 (pow x 10))
(* (pow x 10) (- 1/360 (* 1/12 (/ 1 (pow x 7)))))
(* (pow x 10) (+ 1/360 (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 7)))))
x
x
x
x
(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 (* 1/12 (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)))))
(* 1/12 (pow x 7))
(* (pow x 7) (+ 1/12 (* 1/360 (/ 1 (pow x 4)))))
(* (pow x 7) (+ 1/12 (+ (* 1/360 (/ 1 (pow x 4))) (/ 1 (pow x 7)))))
(* (pow x 7) (+ 1/12 (+ (* 1/360 (/ 1 (pow x 4))) (/ 1 (pow x 7)))))
(* -1/12 (pow x 7))
(* -1 (* (pow x 7) (+ 1/12 (* 1/360 (/ 1 (pow x 4))))))
(* -1 (* (pow x 7) (- (+ 1/12 (* 1/360 (/ 1 (pow x 4)))) (/ 1 (pow x 7)))))
(* -1 (* (pow x 7) (- (+ 1/12 (* 1/360 (/ 1 (pow x 4)))) (/ 1 (pow x 7)))))
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 (* 2 x)) (/ 1 (exp (* 2 x)))) 1) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))))
(* 2 (/ (- (+ (exp (* 2 x)) (/ 1 (exp (* 2 x)))) 1) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))))
(* 2 (/ (- (+ (exp (* 2 x)) (/ 1 (exp (* 2 x)))) 1) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))))
(* 2 (/ (- (+ (exp (* 2 x)) (/ 1 (exp (* 2 x)))) 1) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))))
(* 2 (/ (- (+ (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))) 1) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))))
(* 2 (/ (- (+ (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))) 1) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))))
(* 2 (/ (- (+ (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))) 1) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))))
(* 2 (/ (- (+ (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))) 1) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))))
1
(+ 1 (* -9/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 135/8 (pow x 2)) 9/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 135/8 (* -4941/80 (pow x 2)))) 9/2)))
(/ 2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))
(/ 2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))
(/ 2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))
(/ 2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))
(/ 2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))
(/ 2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))
(/ 2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))
(/ 2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))
1
(+ 1 (* 4 (pow x 2)))
(+ 1 (* (pow x 2) (+ 4 (* 4/3 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 4 (* (pow x 2) (+ 4/3 (* 8/45 (pow x 2)))))))
(- (+ (exp (* 2 x)) (/ 1 (exp (* 2 x)))) 1)
(- (+ (exp (* 2 x)) (/ 1 (exp (* 2 x)))) 1)
(- (+ (exp (* 2 x)) (/ 1 (exp (* 2 x)))) 1)
(- (+ (exp (* 2 x)) (/ 1 (exp (* 2 x)))) 1)
(- (+ (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))) 1)
(- (+ (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))) 1)
(- (+ (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))) 1)
(- (+ (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))) 1)
1
(+ 1 (* 2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 2 (* 2/3 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2/3 (* 4/45 (pow x 2)))))))
(* 1/2 (+ (exp (* 2 x)) (/ 1 (exp (* 2 x)))))
(* 1/2 (+ (exp (* 2 x)) (/ 1 (exp (* 2 x)))))
(* 1/2 (+ (exp (* 2 x)) (/ 1 (exp (* 2 x)))))
(* 1/2 (+ (exp (* 2 x)) (/ 1 (exp (* 2 x)))))
(* 1/2 (+ (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))))
(* 1/2 (+ (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))))
(* 1/2 (+ (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))))
(* 1/2 (+ (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))))
1/12
(+ 1/12 (* 1/360 (pow x 3)))
(+ 1/12 (* 1/360 (pow x 3)))
(+ 1/12 (* 1/360 (pow x 3)))
(* 1/360 (pow x 4))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 4)))))
(* 1/360 (pow x 4))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 4)))))
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
x
x
x
x
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
x
x
x
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 (.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 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 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))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 x))
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* x (- (* 1/8 x) 1/4)))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* x (- (* x (+ 1/8 (* -1/16 x))) 1/4)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/16 binary64) #s(literal 1/8 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (* 2 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)) x)
(/ (- (+ 1 (/ 4 (pow x 2))) (* 2 (/ 1 x))) x)
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 x x))) (/.f64 #s(literal -2 binary64) x)) x)
(/ (- (+ 1 (/ 4 (pow x 2))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (pow x 3))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 8 binary64) (.f64 x x))) (/.f64 #s(literal 4 binary64) (.f64 x x)))) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (* 2 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) x)
(* -1 (/ (+ 1 (+ (* 2 (/ 1 x)) (/ 4 (pow x 2)))) x))
(/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 x x)))) x)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 x))) x)) 2) x))) x))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) x)) x)) x)) x)
2
#s(literal 2 binary64)
(+ 2 x)
(+.f64 x #s(literal 2 binary64))
(+ 2 x)
(+.f64 x #s(literal 2 binary64))
(+ 2 x)
(+.f64 x #s(literal 2 binary64))
x
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 x #s(literal 2 binary64))
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 x #s(literal 2 binary64))
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 x #s(literal 2 binary64))
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (* 2 (/ 1 x)))))
(-.f64 #s(literal 2 binary64) x)
(* -1 (* x (- 1 (* 2 (/ 1 x)))))
(-.f64 #s(literal 2 binary64) x)
(* -1 (* x (- 1 (* 2 (/ 1 x)))))
(-.f64 #s(literal 2 binary64) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 x))
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* x (- (* 5/48 x) 1/4)))
(fma.f64 x (fma.f64 x #s(literal 5/48 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* x (- (* x (+ 5/48 (* -61/1440 x))) 1/4)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -61/1440 binary64) #s(literal 5/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/ 360 (pow x 10))
(/.f64 #s(literal 360 binary64) (pow.f64 x #s(literal 10 binary64)))
(/ 360 (pow x 10))
(/.f64 #s(literal 360 binary64) (pow.f64 x #s(literal 10 binary64)))
(/ (- 360 (* 10800 (/ 1 (pow x 7)))) (pow x 10))
(/.f64 (+.f64 #s(literal 360 binary64) (/.f64 #s(literal -10800 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 x #s(literal 10 binary64)))
(/ (+ 360 (* -1 (/ (+ 10800 (* 129600 (/ 1 (pow x 2)))) (pow x 7)))) (pow x 10))
(/.f64 (+.f64 #s(literal 360 binary64) (/.f64 (+.f64 #s(literal -10800 binary64) (/.f64 #s(literal -129600 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 x #s(literal 10 binary64)))
(/ 360 (pow x 10))
(/.f64 #s(literal 360 binary64) (pow.f64 x #s(literal 10 binary64)))
(/ 360 (pow x 10))
(/.f64 #s(literal 360 binary64) (pow.f64 x #s(literal 10 binary64)))
(/ (+ 360 (* 10800 (/ 1 (pow x 7)))) (pow x 10))
(/.f64 (+.f64 #s(literal 360 binary64) (/.f64 #s(literal 10800 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 x #s(literal 10 binary64)))
(/ (+ 360 (+ (* 10800 (/ 1 (pow x 7))) (/ 129600 (pow x 9)))) (pow x 10))
(/.f64 (+.f64 (+.f64 #s(literal 360 binary64) (/.f64 #s(literal 10800 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 #s(literal 129600 binary64) (pow.f64 x #s(literal 9 binary64)))) (pow.f64 x #s(literal 10 binary64)))
2
#s(literal 2 binary64)
(+ 2 x)
(+.f64 x #s(literal 2 binary64))
(+ 2 (* x (+ 1 (* 1/12 x))))
(fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
(+ 2 (* x (+ 1 (* x (+ 1/12 (* 1/360 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(* 1/360 (pow x 10))
(*.f64 (pow.f64 x #s(literal 10 binary64)) #s(literal 1/360 binary64))
(* 1/360 (pow x 10))
(*.f64 (pow.f64 x #s(literal 10 binary64)) #s(literal 1/360 binary64))
(* (pow x 10) (+ 1/360 (* 1/12 (/ 1 (pow x 7)))))
(*.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 7 binary64)))))
(* (pow x 10) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 7))) (/ 1 (pow x 9)))))
(*.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9 binary64)))))
(* 1/360 (pow x 10))
(*.f64 (pow.f64 x #s(literal 10 binary64)) #s(literal 1/360 binary64))
(* 1/360 (pow x 10))
(*.f64 (pow.f64 x #s(literal 10 binary64)) #s(literal 1/360 binary64))
(* (pow x 10) (- 1/360 (* 1/12 (/ 1 (pow x 7)))))
(*.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 7 binary64)))))
(* (pow x 10) (+ 1/360 (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 7)))))
(.f64 (pow.f64 x #s(literal 10 binary64)) (-.f64 #s(literal 1/360 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 7 binary64)))))
x
x
x
x
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
1
#s(literal 1 binary64)
(+ 1 (* 1/12 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))
(fma.f64 (.f64 x 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 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64))
(* 1/12 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/12 binary64))
(* (pow x 7) (+ 1/12 (* 1/360 (/ 1 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* (pow x 7) (+ 1/12 (+ (* 1/360 (/ 1 (pow x 4))) (/ 1 (pow x 7)))))
(fma.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (*.f64 x x))))) #s(literal 1 binary64))
(* (pow x 7) (+ 1/12 (+ (* 1/360 (/ 1 (pow x 4))) (/ 1 (pow x 7)))))
(fma.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (*.f64 x x))))) #s(literal 1 binary64))
(* -1/12 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/12 binary64))
(* -1 (* (pow x 7) (+ 1/12 (* 1/360 (/ 1 (pow x 4))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 #s(literal -1/12 binary64) (/.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* -1 (* (pow x 7) (- (+ 1/12 (* 1/360 (/ 1 (pow x 4)))) (/ 1 (pow x 7)))))
(fma.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 #s(literal -1/12 binary64) (/.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (*.f64 x x))))) #s(literal 1 binary64))
(* -1 (* (pow x 7) (- (+ 1/12 (* 1/360 (/ 1 (pow x 4)))) (/ 1 (pow x 7)))))
(fma.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 #s(literal -1/12 binary64) (/.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (*.f64 x x))))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(* 2 (/ (- (+ (exp (* 2 x)) (/ 1 (exp (* 2 x)))) 1) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))))
(/.f64 (.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (.f64 x #s(literal -2 binary64))))) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 x #s(literal -3 binary64)))))
(* 2 (/ (- (+ (exp (* 2 x)) (/ 1 (exp (* 2 x)))) 1) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))))
(/.f64 (.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (.f64 x #s(literal -2 binary64))))) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 x #s(literal -3 binary64)))))
(* 2 (/ (- (+ (exp (* 2 x)) (/ 1 (exp (* 2 x)))) 1) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))))
(/.f64 (.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (.f64 x #s(literal -2 binary64))))) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 x #s(literal -3 binary64)))))
(* 2 (/ (- (+ (exp (* 2 x)) (/ 1 (exp (* 2 x)))) 1) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))))
(/.f64 (.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (.f64 x #s(literal -2 binary64))))) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 x #s(literal -3 binary64)))))
(* 2 (/ (- (+ (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))) 1) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))))
(/.f64 (.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (.f64 x #s(literal -2 binary64))))) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 x #s(literal -3 binary64)))))
(* 2 (/ (- (+ (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))) 1) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))))
(/.f64 (.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (.f64 x #s(literal -2 binary64))))) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 x #s(literal -3 binary64)))))
(* 2 (/ (- (+ (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))) 1) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))))
(/.f64 (.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (.f64 x #s(literal -2 binary64))))) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 x #s(literal -3 binary64)))))
(* 2 (/ (- (+ (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))) 1) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))))
(/.f64 (.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (.f64 x #s(literal -2 binary64))))) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 x #s(literal -3 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* -9/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -9/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 135/8 (pow x 2)) 9/2)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 135/8 binary64)) #s(literal -9/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 135/8 (* -4941/80 (pow x 2)))) 9/2)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -4941/80 binary64)) #s(literal 135/8 binary64))) #s(literal -9/2 binary64)) #s(literal 1 binary64))
(/ 2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 x #s(literal -3 binary64)))))
(/ 2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 x #s(literal -3 binary64)))))
(/ 2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 x #s(literal -3 binary64)))))
(/ 2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 x #s(literal -3 binary64)))))
(/ 2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 x #s(literal -3 binary64)))))
(/ 2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 x #s(literal -3 binary64)))))
(/ 2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 x #s(literal -3 binary64)))))
(/ 2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 x #s(literal -3 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* 4 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 4 (* 4/3 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 4/3 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 4 (* (pow x 2) (+ 4/3 (* 8/45 (pow x 2)))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 8/45 binary64) #s(literal 4/3 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64))
(- (+ (exp (* 2 x)) (/ 1 (exp (* 2 x)))) 1)
(+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (*.f64 x #s(literal -2 binary64))))
(- (+ (exp (* 2 x)) (/ 1 (exp (* 2 x)))) 1)
(+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (*.f64 x #s(literal -2 binary64))))
(- (+ (exp (* 2 x)) (/ 1 (exp (* 2 x)))) 1)
(+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (*.f64 x #s(literal -2 binary64))))
(- (+ (exp (* 2 x)) (/ 1 (exp (* 2 x)))) 1)
(+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (*.f64 x #s(literal -2 binary64))))
(- (+ (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))) 1)
(+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (*.f64 x #s(literal -2 binary64))))
(- (+ (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))) 1)
(+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (*.f64 x #s(literal -2 binary64))))
(- (+ (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))) 1)
(+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (*.f64 x #s(literal -2 binary64))))
(- (+ (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))) 1)
(+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (*.f64 x #s(literal -2 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* 2 (pow x 2)))
(fma.f64 x (+.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 2 (* 2/3 (pow x 2)))))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 2/3 binary64) #s(literal 2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2/3 (* 4/45 (pow x 2)))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 4/45 binary64)) #s(literal 2/3 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
(* 1/2 (+ (exp (* 2 x)) (/ 1 (exp (* 2 x)))))
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (.f64 x #s(literal -2 binary64)))))
(* 1/2 (+ (exp (* 2 x)) (/ 1 (exp (* 2 x)))))
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (.f64 x #s(literal -2 binary64)))))
(* 1/2 (+ (exp (* 2 x)) (/ 1 (exp (* 2 x)))))
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (.f64 x #s(literal -2 binary64)))))
(* 1/2 (+ (exp (* 2 x)) (/ 1 (exp (* 2 x)))))
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (.f64 x #s(literal -2 binary64)))))
(* 1/2 (+ (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))))
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (.f64 x #s(literal -2 binary64)))))
(* 1/2 (+ (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))))
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (.f64 x #s(literal -2 binary64)))))
(* 1/2 (+ (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))))
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (.f64 x #s(literal -2 binary64)))))
(* 1/2 (+ (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))))
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (.f64 x #s(literal -2 binary64)))))
1/12
#s(literal 1/12 binary64)
(+ 1/12 (* 1/360 (pow x 3)))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(+ 1/12 (* 1/360 (pow x 3)))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(+ 1/12 (* 1/360 (pow x 3)))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(* 1/360 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/360 binary64)))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 4)))))
(fma.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 4)))))
(fma.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 4)))))
(fma.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(* 1/360 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/360 binary64)))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 4)))))
(fma.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 4)))))
(fma.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 4)))))
(fma.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
x
x
x
x
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
x
x
x
x
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)

eval43.0ms (0.5%)

Memory: 7.9MiB live, 88.4MiB allocated
Compiler: Compiled 7 947 to 952 computations (88% saved)

prune53.0ms (0.6%)

Memory

-7.4MiB live, 123.5MiB allocated

Pruning

20 alts after pruning (16 fresh and 4 done)

	Pruned	Kept	Total
New	378	14	392
Fresh	1	2	3
Picked	1	4	5
Done	0	0	0
Total	380	20	400

Accuracy

100.0%

Counts

400 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.6%	(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
	49.6%	(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
	49.6%	(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
	49.6%	(/.f64 (.f64 #s(literal 4 binary64) (sinh.f64 x)) (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))
	92.1%	(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
▶	92.1%	(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
✓	91.1%	(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
	90.9%	(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (neg.f64 x) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
▶	66.1%	(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)) (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))
	92.0%	(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/360 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))
	85.1%	(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
▶	80.1%	(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
	85.1%	(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64)))
✓	74.9%	(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
	85.1%	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
✓	100.0%	(/.f64 #s(literal 1 binary64) (cosh.f64 x))
	5.3%	(/.f64 #s(literal 1 binary64) x)
	49.6%	(.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (cosh.f64 (.f64 x #s(literal 3 binary64)))))
▶	50.1%	#s(literal 1 binary64)
✓	10.8%	#s(literal 1/2 binary64)

Compiler

Compiled 509 to 322 computations (36.7% saved)

simplify225.0ms (2.4%)

Memory

-5.9MiB live, 188.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

4 662×	`lower-fma.f32`
4 636×	`lower-fma.f64`
2 164×	`lower-*.f32`
2 146×	`lower-*.f64`
1 832×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	345
0	75	315
1	167	296
2	392	296
3	1108	296
4	2256	296
5	3518	296
6	4598	296
7	5181	296
8	5387	296
9	5405	296
10	5405	296
11	5778	296
12	6697	296
13	6793	296
14	6793	296
15	6933	296
16	7142	296
17	7166	296
18	7166	296
19	7832	296
0	8024	283

Stop Event

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

Calls

Call 1

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

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

localize192.0ms (2%)

Memory

24.5MiB live, 297.4MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	3.5%	(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))
✓	accuracy	3.0%	(*.f64 x #s(literal 1/360 binary64))
✓	accuracy	1.6%	(/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)) (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64)))
✓	accuracy	1.4%	(fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/129600 binary64) #s(literal -1/144 binary64))
✓	accuracy	8.0%	(fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))
✓	accuracy	3.4%	(.f64 x (fma.f64 x (.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64)))
✓	accuracy	2.6%	(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓	accuracy	1.8%	(*.f64 x #s(literal -61/720 binary64))
✓	accuracy	50.6%	(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
✓	accuracy	49.9%	(fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64))
✓	accuracy	11.1%	(fma.f64 x #s(literal 1/360 binary64) #s(literal 1/12 binary64))
✓	accuracy	10.9%	(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
✓	accuracy	34.6%	(.f64 (.f64 x (*.f64 x x)) #s(literal 1/360 binary64))
✓	accuracy	28.9%	(*.f64 x x)
✓	accuracy	9.7%	(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
✓	accuracy	9.1%	(fma.f64 x (.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64))

Samples

111.0ms	243×	0	valid
16.0ms	4×	2	valid
6.0ms	4×	3	valid
4.0ms	4×	1	valid
1.0ms	1×	5	exit

Compiler

Compiled 736 to 88 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 115.0ms

const: 45.0ms (39.1% of total)

ival-mult: 32.0ms (27.8% of total)

ival-add: 28.0ms (24.3% of total)

ival-div: 7.0ms (6.1% of total)

adjust: 2.0ms (1.7% of total)

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

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

exact: 0.0ms (0% of total)

series31.0ms (0.3%)

Memory

-9.6MiB live, 64.3MiB allocated

Counts

21 → 252

Calls

Call 1

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

Outputs
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 x))>
#<alt (+ 1/2 (* x (- (* 5/48 x) 1/4)))>
#<alt (+ 1/2 (* x (- (* x (+ 5/48 (* -1/24 x))) 1/4)))>
#<alt (/ 360 (pow x 10))>
#<alt (/ 360 (pow x 10))>
#<alt (/ (- 360 (* 10800 (/ 1 (pow x 7)))) (pow x 10))>
#<alt (/ (+ 360 (* -1 (/ (+ 10800 (* 129600 (/ 1 (pow x 2)))) (pow x 7)))) (pow x 10))>
#<alt (/ 360 (pow x 10))>
#<alt (/ 360 (pow x 10))>
#<alt (/ (+ 360 (* 10800 (/ 1 (pow x 7)))) (pow x 10))>
#<alt (/ (+ 360 (+ (* 10800 (/ 1 (pow x 7))) (/ 129600 (pow x 9)))) (pow x 10))>
#<alt 2>
#<alt (+ 2 x)>
#<alt (+ 2 (* x (+ 1 (* 1/12 x))))>
#<alt (+ 2 (* x (+ 1 (* x (+ 1/12 (* 1/360 (pow x 6)))))))>
#<alt (* 1/360 (pow x 10))>
#<alt (* 1/360 (pow x 10))>
#<alt (* (pow x 10) (+ 1/360 (* 1/12 (/ 1 (pow x 7)))))>
#<alt (* (pow x 10) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 7))) (/ 1 (pow x 9)))))>
#<alt (* 1/360 (pow x 10))>
#<alt (* 1/360 (pow x 10))>
#<alt (* (pow x 10) (- 1/360 (* 1/12 (/ 1 (pow x 7)))))>
#<alt (* (pow x 10) (+ 1/360 (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 7)))))>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<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 (* 1/12 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 6)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 6)))))>
#<alt (* 1/12 (pow x 7))>
#<alt (* (pow x 7) (+ 1/12 (* 1/360 (/ 1 (pow x 4)))))>
#<alt (* (pow x 7) (+ 1/12 (+ (* 1/360 (/ 1 (pow x 4))) (/ 1 (pow x 7)))))>
#<alt (* (pow x 7) (+ 1/12 (+ (* 1/360 (/ 1 (pow x 4))) (/ 1 (pow x 7)))))>
#<alt (* -1/12 (pow x 7))>
#<alt (* -1 (* (pow x 7) (+ 1/12 (* 1/360 (/ 1 (pow x 4))))))>
#<alt (* -1 (* (pow x 7) (- (+ 1/12 (* 1/360 (/ 1 (pow x 4)))) (/ 1 (pow x 7)))))>
#<alt (* -1 (* (pow x 7) (- (+ 1/12 (* 1/360 (/ 1 (pow x 4)))) (/ 1 (pow x 7)))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 x))>
#<alt (+ 1/2 (* x (- (* 5/48 x) 1/4)))>
#<alt (+ 1/2 (* x (- (* x (+ 5/48 (* -61/1440 x))) 1/4)))>
#<alt (/ 360 (pow x 8))>
#<alt (/ 360 (pow x 8))>
#<alt (/ (- 360 (* 140400 (/ 1 (pow x 7)))) (pow x 8))>
#<alt (/ (+ 360 (* -1 (/ (+ 140400 (* 259200 (/ 1 x))) (pow x 7)))) (pow x 8))>
#<alt (/ 360 (pow x 3))>
#<alt (* -1 (/ (- (* 10800 (/ 1 x)) 360) (pow x 3)))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 194400 (/ 1 x)) 10800) x)) 360) (pow x 3)))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2203200 (/ 1 x)) 194400) x)) 10800) x)) 360) (pow x 3)))>
#<alt 2>
#<alt (+ 2 x)>
#<alt (+ 2 (* x (+ 1 (* 1/12 x))))>
#<alt (+ 2 (* x (+ 1 (* x (+ 1/12 (* 1/360 x))))))>
#<alt (* 1/360 (pow x 8))>
#<alt (* 1/360 (pow x 8))>
#<alt (* (pow x 8) (+ 1/360 (* 13/12 (/ 1 (pow x 7)))))>
#<alt (* (pow x 8) (+ 1/360 (+ (* 13/12 (/ 1 (pow x 7))) (/ 2 (pow x 8)))))>
#<alt (* 1/360 (pow x 3))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/12 (/ 1 x)) x)) 1/360)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/12 (+ (/ 1 x) (/ 2 (pow x 2)))) x)) 1/360)))>
#<alt 1>
#<alt (+ 1 (* 1/12 x))>
#<alt (+ 1 (* x (+ 1/12 (* 1/360 x))))>
#<alt (+ 1 (* x (+ 1/12 (* 1/360 x))))>
#<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))) (/ 1 (pow x 3)))))>
#<alt (* (pow x 3) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 3)))))>
#<alt (* 1/360 (pow x 2))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/360 (+ (* 1/12 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/360 (+ (* 1/12 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt 1/12>
#<alt (+ 1/12 (* 1/360 x))>
#<alt (+ 1/12 (* 1/360 x))>
#<alt (+ 1/12 (* 1/360 x))>
#<alt (* 1/360 x)>
#<alt (* x (+ 1/360 (* 1/12 (/ 1 x))))>
#<alt (* x (+ 1/360 (* 1/12 (/ 1 x))))>
#<alt (* x (+ 1/360 (* 1/12 (/ 1 x))))>
#<alt (* 1/360 x)>
#<alt (* x (+ 1/360 (* 1/12 (/ 1 x))))>
#<alt (* x (+ 1/360 (* 1/12 (/ 1 x))))>
#<alt (* x (+ 1/360 (* 1/12 (/ 1 x))))>
#<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 13))>
#<alt (* -1 (* (pow x 13) (+ 61/720 (* 1/2 (/ 1 (pow x 5))))))>
#<alt (* (pow x 13) (- (/ 5/24 (pow x 10)) (+ 61/720 (* 1/2 (/ 1 (pow x 5))))))>
#<alt (* (pow x 13) (- (+ (/ 5/24 (pow x 10)) (/ 1 (pow x 13))) (+ 61/720 (* 1/2 (/ 1 (pow x 5))))))>
#<alt (* 61/720 (pow x 13))>
#<alt (* -1 (* (pow x 13) (- (* 1/2 (/ 1 (pow x 5))) 61/720)))>
#<alt (* -1 (* (pow x 13) (- (+ (/ 5/24 (pow x 10)) (* 1/2 (/ 1 (pow x 5)))) 61/720)))>
#<alt (* -1 (* (pow x 13) (- (* -1 (/ (- (* -1 (/ (- 5/24 (/ 1 (pow x 3))) (pow x 5))) 1/2) (pow x 5))) 61/720)))>
#<alt -1/2>
#<alt (- (* 5/24 x) 1/2)>
#<alt (- (* x (+ 5/24 (* -61/720 x))) 1/2)>
#<alt (- (* x (+ 5/24 (* -61/720 x))) 1/2)>
#<alt (* -61/720 (pow x 9))>
#<alt (* (pow x 9) (- (* 5/24 (/ 1 (pow x 6))) 61/720))>
#<alt (* (pow x 9) (- (* 5/24 (/ 1 (pow x 6))) (+ 61/720 (/ 1/2 (pow x 9)))))>
#<alt (* (pow x 9) (- (* 5/24 (/ 1 (pow x 6))) (+ 61/720 (/ 1/2 (pow x 9)))))>
#<alt (* 61/720 (pow x 9))>
#<alt (* -1 (* (pow x 9) (- (* 5/24 (/ 1 (pow x 6))) 61/720)))>
#<alt (* -1 (* (pow x 9) (- (+ (/ 1/2 (pow x 9)) (* 5/24 (/ 1 (pow x 6)))) 61/720)))>
#<alt (* -1 (* (pow x 9) (- (+ (/ 1/2 (pow x 9)) (* 5/24 (/ 1 (pow x 6)))) 61/720)))>
#<alt (* 5/24 x)>
#<alt (* x (+ 5/24 (* -61/720 (pow x 3))))>
#<alt (* x (+ 5/24 (* -61/720 (pow x 3))))>
#<alt (* x (+ 5/24 (* -61/720 (pow x 3))))>
#<alt (* -61/720 (pow x 5))>
#<alt (* (pow x 5) (- (* 5/24 (/ 1 (pow x 4))) 61/720))>
#<alt (* (pow x 5) (- (* 5/24 (/ 1 (pow x 4))) 61/720))>
#<alt (* (pow x 5) (- (* 5/24 (/ 1 (pow x 4))) 61/720))>
#<alt (* 61/720 (pow x 6))>
#<alt (* (pow x 6) (+ 61/720 (* 5/24 (/ 1 (pow x 5)))))>
#<alt (* (pow x 6) (+ 61/720 (* 5/24 (/ 1 (pow x 5)))))>
#<alt (* (pow x 6) (+ 61/720 (* 5/24 (/ 1 (pow x 5)))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 x))>
#<alt (+ 1/2 (* x (- (* 5/48 x) 1/4)))>
#<alt (+ 1/2 (* x (- (* x (+ 5/48 (* -61/1440 x))) 1/4)))>
#<alt (/ -2/5 (pow x 17))>
#<alt (/ (- (* 12 (/ 1 x)) 2/5) (pow x 17))>
#<alt (/ (- (* 12 (/ 1 x)) 2/5) (pow x 17))>
#<alt (/ (- (* 12 (/ 1 x)) 2/5) (pow x 17))>
#<alt (/ 2/5 (pow x 17))>
#<alt (/ (+ 2/5 (* 12 (/ 1 x))) (pow x 17))>
#<alt (/ (+ 2/5 (* 12 (/ 1 x))) (pow x 17))>
#<alt (/ (+ 2/5 (* 12 (/ 1 x))) (pow x 17))>
#<alt 2>
#<alt (+ 2 x)>
#<alt (+ 2 (* x (+ 1 (* 1/12 x))))>
#<alt (+ 2 (* x (+ 1 (* x (+ 1/12 (* 1/360 x))))))>
#<alt (* -5/2 (pow x 17))>
#<alt (* -1 (* (pow x 17) (+ 5/2 (* 75 (/ 1 x)))))>
#<alt (* (pow x 17) (- (* -1 (/ (+ 75 (* 2250 (/ 1 x))) x)) 5/2))>
#<alt (* (pow x 17) (- (* -1 (/ (+ 2250 (* 67500 (/ 1 x))) (pow x 2))) (+ 5/2 (* 75 (/ 1 x)))))>
#<alt (* 5/2 (pow x 17))>
#<alt (* -1 (* (pow x 17) (- (* 75 (/ 1 x)) 5/2)))>
#<alt (* -1 (* (pow x 17) (- (* -1 (/ (- (* 2250 (/ 1 x)) 75) x)) 5/2)))>
#<alt (* -1 (* (pow x 17) (- (* -1 (/ (- (* -1 (/ (- (* 67500 (/ 1 x)) 2250) x)) 75) x)) 5/2)))>
#<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 (* (pow x 2) (+ 1/360 (* 1/10800 (pow x 2)))))))>
#<alt -3/2>
#<alt (- (* 1/360 (/ 1 (pow x 3))) 3/2)>
#<alt (- (* 1/360 (/ 1 (pow x 3))) (+ 3/2 (/ 75 (pow x 6))))>
#<alt (- (+ (* 1/360 (/ 1 (pow x 3))) (* 1/12 (/ 1 (pow x 9)))) (+ 3/2 (/ 75 (pow x 6))))>
#<alt -3/2>
#<alt (* -1 (+ 3/2 (* 1/360 (/ 1 (pow x 3)))))>
#<alt (- (* -1 (/ (+ 1/360 (* 75 (/ 1 (pow x 3)))) (pow x 3))) 3/2)>
#<alt (- (* -1 (/ (+ 1/360 (+ (/ 1/12 (pow x 6)) (* 75 (/ 1 (pow x 3))))) (pow x 3))) 3/2)>
#<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 (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 (* -61/720 x)>
#<alt (* -61/720 x)>
#<alt (* -61/720 x)>
#<alt (* -61/720 x)>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt 5/24>
#<alt (+ 5/24 (* -61/720 (pow x 3)))>
#<alt (+ 5/24 (* -61/720 (pow x 3)))>
#<alt (+ 5/24 (* -61/720 (pow x 3)))>
#<alt (* -61/720 (pow x 4))>
#<alt (* (pow x 4) (- (* 5/24 (/ 1 (pow x 4))) 61/720))>
#<alt (* (pow x 4) (- (* 5/24 (/ 1 (pow x 4))) 61/720))>
#<alt (* (pow x 4) (- (* 5/24 (/ 1 (pow x 4))) 61/720))>
#<alt (* -61/720 (pow x 4))>
#<alt (* (pow x 4) (- (* 5/24 (/ 1 (pow x 4))) 61/720))>
#<alt (* (pow x 4) (- (* 5/24 (/ 1 (pow x 4))) 61/720))>
#<alt (* (pow x 4) (- (* 5/24 (/ 1 (pow x 4))) 61/720))>
#<alt -1/144>
#<alt (- (* 1/129600 (pow x 2)) 1/144)>
#<alt (- (* 1/129600 (pow x 2)) 1/144)>
#<alt (- (* 1/129600 (pow x 2)) 1/144)>
#<alt (* 1/129600 (pow x 3))>
#<alt (* (pow x 3) (- 1/129600 (* 1/144 (/ 1 (pow x 3)))))>
#<alt (* (pow x 3) (- 1/129600 (* 1/144 (/ 1 (pow x 3)))))>
#<alt (* (pow x 3) (- 1/129600 (* 1/144 (/ 1 (pow x 3)))))>
#<alt (* -1/129600 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 1/129600 (* 1/144 (/ 1 (pow x 3))))))>
#<alt (* -1 (* (pow x 3) (+ 1/129600 (* 1/144 (/ 1 (pow x 3))))))>
#<alt (* -1 (* (pow x 3) (+ 1/129600 (* 1/144 (/ 1 (pow x 3))))))>
#<alt 1/12>
#<alt (+ 1/12 (* -1/10800 (pow x 2)))>
#<alt (+ 1/12 (* (pow x 2) (- (* 1/360 (pow x 6)) 1/10800)))>
#<alt (+ 1/12 (* (pow x 2) (- (* (pow x 6) (+ 1/360 (* -1/324000 (pow x 2)))) 1/10800)))>
#<alt (/ 1/360 (pow x 7))>
#<alt (/ (- 1/360 (* 5/2 (/ 1 (pow x 3)))) (pow x 7))>
#<alt (/ (- 1/360 (* 5/2 (/ 1 (pow x 3)))) (pow x 7))>
#<alt (/ (- (+ 1/360 (/ 1/12 (pow x 10))) (* 5/2 (/ 1 (pow x 3)))) (pow x 7))>
#<alt (/ -1/360 (pow x 7))>
#<alt (* -1 (/ (+ 1/360 (* 5/2 (/ 1 (pow x 3)))) (pow x 7)))>
#<alt (* -1 (/ (+ 1/360 (* 5/2 (/ 1 (pow x 3)))) (pow x 7)))>
#<alt (* -1 (/ (+ 1/360 (+ (/ 1/12 (pow x 10)) (* 5/2 (/ 1 (pow x 3))))) (pow x 7)))>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt -1/12>
#<alt (- (* 1/360 (pow x 2)) 1/12)>
#<alt (- (* 1/360 (pow x 2)) 1/12)>
#<alt (- (* 1/360 (pow x 2)) 1/12)>
#<alt (* 1/360 (pow x 3))>
#<alt (* (pow x 3) (- 1/360 (* 1/12 (/ 1 (pow x 3)))))>
#<alt (* (pow x 3) (- 1/360 (* 1/12 (/ 1 (pow x 3)))))>
#<alt (* (pow x 3) (- 1/360 (* 1/12 (/ 1 (pow x 3)))))>
#<alt (* -1/360 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 3))))))>
#<alt (* -1 (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 3))))))>
#<alt (* -1 (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 3))))))>

Calls

63 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(+ (* x 1/360) 1/12)
2.0ms	x	@	-inf	(* x 1/360)
1.0ms	x	@	inf	(/ 2 (+ (* (* x x) (+ (* x (* x (/ (+ (* (* x (* x (* x x))) 1/129600) -1/144) (+ (* x (* x 1/360)) -1/12)))) 1)) 2))
1.0ms	x	@	-inf	(* x (+ (* x (* x -61/720)) 5/24))
1.0ms	x	@	-inf	(+ (* (* x x) (+ (* x (* x (+ (* x (* x -61/720)) 5/24))) -1/2)) 1)

Compiler

Compiled 1 026 to 749 computations (27% saved)

rewrite418.0ms (4.5%)

Memory

-23.9MiB live, 793.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 242×	`lower-fma.f32`
6 216×	`lower-fma.f64`
4 620×	`lower-*.f32`
4 602×	`lower-*.f64`
4 074×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	258
0	75	240
1	350	203
2	2738	203
0	9074	188

Stop Event

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

Counts

21 → 589

Calls

Call 1

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

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

simplify470.0ms (5%)

Memory

36.3MiB live, 380.7MiB allocated

Algorithm

1×	egg-herbie

Rules

8 554×	`lower-fma.f64`
8 554×	`lower-fma.f32`
4 774×	`lower-*.f64`
4 774×	`lower-*.f32`
3 052×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	416	2016
1	1152	2010
2	3032	1905
3	7490	1903
0	8107	1789

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 240

Calls

Call 1

Inputs
1/2
(+ 1/2 (* -1/4 x))
(+ 1/2 (* x (- (* 5/48 x) 1/4)))
(+ 1/2 (* x (- (* x (+ 5/48 (* -1/24 x))) 1/4)))
(/ 360 (pow x 10))
(/ 360 (pow x 10))
(/ (- 360 (* 10800 (/ 1 (pow x 7)))) (pow x 10))
(/ (+ 360 (* -1 (/ (+ 10800 (* 129600 (/ 1 (pow x 2)))) (pow x 7)))) (pow x 10))
(/ 360 (pow x 10))
(/ 360 (pow x 10))
(/ (+ 360 (* 10800 (/ 1 (pow x 7)))) (pow x 10))
(/ (+ 360 (+ (* 10800 (/ 1 (pow x 7))) (/ 129600 (pow x 9)))) (pow x 10))
2
(+ 2 x)
(+ 2 (* x (+ 1 (* 1/12 x))))
(+ 2 (* x (+ 1 (* x (+ 1/12 (* 1/360 (pow x 6)))))))
(* 1/360 (pow x 10))
(* 1/360 (pow x 10))
(* (pow x 10) (+ 1/360 (* 1/12 (/ 1 (pow x 7)))))
(* (pow x 10) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 7))) (/ 1 (pow x 9)))))
(* 1/360 (pow x 10))
(* 1/360 (pow x 10))
(* (pow x 10) (- 1/360 (* 1/12 (/ 1 (pow x 7)))))
(* (pow x 10) (+ 1/360 (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 7)))))
x
x
x
x
(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 (* 1/12 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 6)))))
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 6)))))
(* 1/12 (pow x 7))
(* (pow x 7) (+ 1/12 (* 1/360 (/ 1 (pow x 4)))))
(* (pow x 7) (+ 1/12 (+ (* 1/360 (/ 1 (pow x 4))) (/ 1 (pow x 7)))))
(* (pow x 7) (+ 1/12 (+ (* 1/360 (/ 1 (pow x 4))) (/ 1 (pow x 7)))))
(* -1/12 (pow x 7))
(* -1 (* (pow x 7) (+ 1/12 (* 1/360 (/ 1 (pow x 4))))))
(* -1 (* (pow x 7) (- (+ 1/12 (* 1/360 (/ 1 (pow x 4)))) (/ 1 (pow x 7)))))
(* -1 (* (pow x 7) (- (+ 1/12 (* 1/360 (/ 1 (pow x 4)))) (/ 1 (pow x 7)))))
1/2
(+ 1/2 (* -1/4 x))
(+ 1/2 (* x (- (* 5/48 x) 1/4)))
(+ 1/2 (* x (- (* x (+ 5/48 (* -61/1440 x))) 1/4)))
(/ 360 (pow x 8))
(/ 360 (pow x 8))
(/ (- 360 (* 140400 (/ 1 (pow x 7)))) (pow x 8))
(/ (+ 360 (* -1 (/ (+ 140400 (* 259200 (/ 1 x))) (pow x 7)))) (pow x 8))
(/ 360 (pow x 3))
(* -1 (/ (- (* 10800 (/ 1 x)) 360) (pow x 3)))
(* -1 (/ (- (* -1 (/ (- (* 194400 (/ 1 x)) 10800) x)) 360) (pow x 3)))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2203200 (/ 1 x)) 194400) x)) 10800) x)) 360) (pow x 3)))
2
(+ 2 x)
(+ 2 (* x (+ 1 (* 1/12 x))))
(+ 2 (* x (+ 1 (* x (+ 1/12 (* 1/360 x))))))
(* 1/360 (pow x 8))
(* 1/360 (pow x 8))
(* (pow x 8) (+ 1/360 (* 13/12 (/ 1 (pow x 7)))))
(* (pow x 8) (+ 1/360 (+ (* 13/12 (/ 1 (pow x 7))) (/ 2 (pow x 8)))))
(* 1/360 (pow x 3))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/12 (/ 1 x)) x)) 1/360)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/12 (+ (/ 1 x) (/ 2 (pow x 2)))) x)) 1/360)))
1
(+ 1 (* 1/12 x))
(+ 1 (* x (+ 1/12 (* 1/360 x))))
(+ 1 (* x (+ 1/12 (* 1/360 x))))
(* 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))) (/ 1 (pow x 3)))))
(* (pow x 3) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 3)))))
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 x))))
(* (pow x 2) (+ 1/360 (+ (* 1/12 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (+ (* 1/12 (/ 1 x)) (/ 1 (pow x 2)))))
1/12
(+ 1/12 (* 1/360 x))
(+ 1/12 (* 1/360 x))
(+ 1/12 (* 1/360 x))
(* 1/360 x)
(* x (+ 1/360 (* 1/12 (/ 1 x))))
(* x (+ 1/360 (* 1/12 (/ 1 x))))
(* x (+ 1/360 (* 1/12 (/ 1 x))))
(* 1/360 x)
(* x (+ 1/360 (* 1/12 (/ 1 x))))
(* x (+ 1/360 (* 1/12 (/ 1 x))))
(* x (+ 1/360 (* 1/12 (/ 1 x))))
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 13))
(* -1 (* (pow x 13) (+ 61/720 (* 1/2 (/ 1 (pow x 5))))))
(* (pow x 13) (- (/ 5/24 (pow x 10)) (+ 61/720 (* 1/2 (/ 1 (pow x 5))))))
(* (pow x 13) (- (+ (/ 5/24 (pow x 10)) (/ 1 (pow x 13))) (+ 61/720 (* 1/2 (/ 1 (pow x 5))))))
(* 61/720 (pow x 13))
(* -1 (* (pow x 13) (- (* 1/2 (/ 1 (pow x 5))) 61/720)))
(* -1 (* (pow x 13) (- (+ (/ 5/24 (pow x 10)) (* 1/2 (/ 1 (pow x 5)))) 61/720)))
(* -1 (* (pow x 13) (- (* -1 (/ (- (* -1 (/ (- 5/24 (/ 1 (pow x 3))) (pow x 5))) 1/2) (pow x 5))) 61/720)))
-1/2
(- (* 5/24 x) 1/2)
(- (* x (+ 5/24 (* -61/720 x))) 1/2)
(- (* x (+ 5/24 (* -61/720 x))) 1/2)
(* -61/720 (pow x 9))
(* (pow x 9) (- (* 5/24 (/ 1 (pow x 6))) 61/720))
(* (pow x 9) (- (* 5/24 (/ 1 (pow x 6))) (+ 61/720 (/ 1/2 (pow x 9)))))
(* (pow x 9) (- (* 5/24 (/ 1 (pow x 6))) (+ 61/720 (/ 1/2 (pow x 9)))))
(* 61/720 (pow x 9))
(* -1 (* (pow x 9) (- (* 5/24 (/ 1 (pow x 6))) 61/720)))
(* -1 (* (pow x 9) (- (+ (/ 1/2 (pow x 9)) (* 5/24 (/ 1 (pow x 6)))) 61/720)))
(* -1 (* (pow x 9) (- (+ (/ 1/2 (pow x 9)) (* 5/24 (/ 1 (pow x 6)))) 61/720)))
(* 5/24 x)
(* x (+ 5/24 (* -61/720 (pow x 3))))
(* x (+ 5/24 (* -61/720 (pow x 3))))
(* x (+ 5/24 (* -61/720 (pow x 3))))
(* -61/720 (pow x 5))
(* (pow x 5) (- (* 5/24 (/ 1 (pow x 4))) 61/720))
(* (pow x 5) (- (* 5/24 (/ 1 (pow x 4))) 61/720))
(* (pow x 5) (- (* 5/24 (/ 1 (pow x 4))) 61/720))
(* 61/720 (pow x 6))
(* (pow x 6) (+ 61/720 (* 5/24 (/ 1 (pow x 5)))))
(* (pow x 6) (+ 61/720 (* 5/24 (/ 1 (pow x 5)))))
(* (pow x 6) (+ 61/720 (* 5/24 (/ 1 (pow x 5)))))
1/2
(+ 1/2 (* -1/4 x))
(+ 1/2 (* x (- (* 5/48 x) 1/4)))
(+ 1/2 (* x (- (* x (+ 5/48 (* -61/1440 x))) 1/4)))
(/ -2/5 (pow x 17))
(/ (- (* 12 (/ 1 x)) 2/5) (pow x 17))
(/ (- (* 12 (/ 1 x)) 2/5) (pow x 17))
(/ (- (* 12 (/ 1 x)) 2/5) (pow x 17))
(/ 2/5 (pow x 17))
(/ (+ 2/5 (* 12 (/ 1 x))) (pow x 17))
(/ (+ 2/5 (* 12 (/ 1 x))) (pow x 17))
(/ (+ 2/5 (* 12 (/ 1 x))) (pow x 17))
2
(+ 2 x)
(+ 2 (* x (+ 1 (* 1/12 x))))
(+ 2 (* x (+ 1 (* x (+ 1/12 (* 1/360 x))))))
(* -5/2 (pow x 17))
(* -1 (* (pow x 17) (+ 5/2 (* 75 (/ 1 x)))))
(* (pow x 17) (- (* -1 (/ (+ 75 (* 2250 (/ 1 x))) x)) 5/2))
(* (pow x 17) (- (* -1 (/ (+ 2250 (* 67500 (/ 1 x))) (pow x 2))) (+ 5/2 (* 75 (/ 1 x)))))
(* 5/2 (pow x 17))
(* -1 (* (pow x 17) (- (* 75 (/ 1 x)) 5/2)))
(* -1 (* (pow x 17) (- (* -1 (/ (- (* 2250 (/ 1 x)) 75) x)) 5/2)))
(* -1 (* (pow x 17) (- (* -1 (/ (- (* -1 (/ (- (* 67500 (/ 1 x)) 2250) x)) 75) x)) 5/2)))
1
(+ 1 (* 1/12 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/10800 (pow x 2)))))))
-3/2
(- (* 1/360 (/ 1 (pow x 3))) 3/2)
(- (* 1/360 (/ 1 (pow x 3))) (+ 3/2 (/ 75 (pow x 6))))
(- (+ (* 1/360 (/ 1 (pow x 3))) (* 1/12 (/ 1 (pow x 9)))) (+ 3/2 (/ 75 (pow x 6))))
-3/2
(* -1 (+ 3/2 (* 1/360 (/ 1 (pow x 3)))))
(- (* -1 (/ (+ 1/360 (* 75 (/ 1 (pow x 3)))) (pow x 3))) 3/2)
(- (* -1 (/ (+ 1/360 (+ (/ 1/12 (pow x 6)) (* 75 (/ 1 (pow x 3))))) (pow x 3))) 3/2)
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (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)
(* -61/720 x)
(* -61/720 x)
(* -61/720 x)
(* -61/720 x)
x
x
x
x
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
5/24
(+ 5/24 (* -61/720 (pow x 3)))
(+ 5/24 (* -61/720 (pow x 3)))
(+ 5/24 (* -61/720 (pow x 3)))
(* -61/720 (pow x 4))
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 4))) 61/720))
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 4))) 61/720))
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 4))) 61/720))
(* -61/720 (pow x 4))
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 4))) 61/720))
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 4))) 61/720))
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 4))) 61/720))
-1/144
(- (* 1/129600 (pow x 2)) 1/144)
(- (* 1/129600 (pow x 2)) 1/144)
(- (* 1/129600 (pow x 2)) 1/144)
(* 1/129600 (pow x 3))
(* (pow x 3) (- 1/129600 (* 1/144 (/ 1 (pow x 3)))))
(* (pow x 3) (- 1/129600 (* 1/144 (/ 1 (pow x 3)))))
(* (pow x 3) (- 1/129600 (* 1/144 (/ 1 (pow x 3)))))
(* -1/129600 (pow x 3))
(* -1 (* (pow x 3) (+ 1/129600 (* 1/144 (/ 1 (pow x 3))))))
(* -1 (* (pow x 3) (+ 1/129600 (* 1/144 (/ 1 (pow x 3))))))
(* -1 (* (pow x 3) (+ 1/129600 (* 1/144 (/ 1 (pow x 3))))))
1/12
(+ 1/12 (* -1/10800 (pow x 2)))
(+ 1/12 (* (pow x 2) (- (* 1/360 (pow x 6)) 1/10800)))
(+ 1/12 (* (pow x 2) (- (* (pow x 6) (+ 1/360 (* -1/324000 (pow x 2)))) 1/10800)))
(/ 1/360 (pow x 7))
(/ (- 1/360 (* 5/2 (/ 1 (pow x 3)))) (pow x 7))
(/ (- 1/360 (* 5/2 (/ 1 (pow x 3)))) (pow x 7))
(/ (- (+ 1/360 (/ 1/12 (pow x 10))) (* 5/2 (/ 1 (pow x 3)))) (pow x 7))
(/ -1/360 (pow x 7))
(* -1 (/ (+ 1/360 (* 5/2 (/ 1 (pow x 3)))) (pow x 7)))
(* -1 (/ (+ 1/360 (* 5/2 (/ 1 (pow x 3)))) (pow x 7)))
(* -1 (/ (+ 1/360 (+ (/ 1/12 (pow x 10)) (* 5/2 (/ 1 (pow x 3))))) (pow x 7)))
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
x
x
x
x
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
-1/12
(- (* 1/360 (pow x 2)) 1/12)
(- (* 1/360 (pow x 2)) 1/12)
(- (* 1/360 (pow x 2)) 1/12)
(* 1/360 (pow x 3))
(* (pow x 3) (- 1/360 (* 1/12 (/ 1 (pow x 3)))))
(* (pow x 3) (- 1/360 (* 1/12 (/ 1 (pow x 3)))))
(* (pow x 3) (- 1/360 (* 1/12 (/ 1 (pow x 3)))))
(* -1/360 (pow x 3))
(* -1 (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 3))))))
(* -1 (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 3))))))
(* -1 (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 3))))))

Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 x))
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/2 binary64))
(+ 1/2 (* x (- (* 5/48 x) 1/4)))
(fma.f64 x (fma.f64 x #s(literal 5/48 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* x (- (* x (+ 5/48 (* -1/24 x))) 1/4)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/24 binary64) #s(literal 5/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/ 360 (pow x 10))
(/.f64 #s(literal 360 binary64) (pow.f64 x #s(literal 10 binary64)))
(/ 360 (pow x 10))
(/.f64 #s(literal 360 binary64) (pow.f64 x #s(literal 10 binary64)))
(/ (- 360 (* 10800 (/ 1 (pow x 7)))) (pow x 10))
(/.f64 (-.f64 #s(literal 360 binary64) (/.f64 #s(literal 10800 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 x #s(literal 10 binary64)))
(/ (+ 360 (* -1 (/ (+ 10800 (* 129600 (/ 1 (pow x 2)))) (pow x 7)))) (pow x 10))
(/.f64 (+.f64 #s(literal 360 binary64) (/.f64 (+.f64 #s(literal -10800 binary64) (/.f64 #s(literal -129600 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 x #s(literal 10 binary64)))
(/ 360 (pow x 10))
(/.f64 #s(literal 360 binary64) (pow.f64 x #s(literal 10 binary64)))
(/ 360 (pow x 10))
(/.f64 #s(literal 360 binary64) (pow.f64 x #s(literal 10 binary64)))
(/ (+ 360 (* 10800 (/ 1 (pow x 7)))) (pow x 10))
(/.f64 (+.f64 #s(literal 360 binary64) (/.f64 #s(literal 10800 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 x #s(literal 10 binary64)))
(/ (+ 360 (+ (* 10800 (/ 1 (pow x 7))) (/ 129600 (pow x 9)))) (pow x 10))
(/.f64 (+.f64 (+.f64 #s(literal 360 binary64) (/.f64 #s(literal 10800 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 #s(literal 129600 binary64) (pow.f64 x #s(literal 9 binary64)))) (pow.f64 x #s(literal 10 binary64)))
2
#s(literal 2 binary64)
(+ 2 x)
(+.f64 x #s(literal 2 binary64))
(+ 2 (* x (+ 1 (* 1/12 x))))
(fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
(+ 2 (* x (+ 1 (* x (+ 1/12 (* 1/360 (pow x 6)))))))
(fma.f64 x (fma.f64 x #s(literal 1/12 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 7 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))
(* 1/360 (pow x 10))
(*.f64 (pow.f64 x #s(literal 10 binary64)) #s(literal 1/360 binary64))
(* 1/360 (pow x 10))
(*.f64 (pow.f64 x #s(literal 10 binary64)) #s(literal 1/360 binary64))
(* (pow x 10) (+ 1/360 (* 1/12 (/ 1 (pow x 7)))))
(*.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 7 binary64)))))
(* (pow x 10) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 7))) (/ 1 (pow x 9)))))
(*.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 7 binary64))) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9 binary64))))))
(* 1/360 (pow x 10))
(*.f64 (pow.f64 x #s(literal 10 binary64)) #s(literal 1/360 binary64))
(* 1/360 (pow x 10))
(*.f64 (pow.f64 x #s(literal 10 binary64)) #s(literal 1/360 binary64))
(* (pow x 10) (- 1/360 (* 1/12 (/ 1 (pow x 7)))))
(*.f64 (pow.f64 x #s(literal 10 binary64)) (-.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 7 binary64)))))
(* (pow x 10) (+ 1/360 (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 7)))))
(.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 #s(literal 1/360 binary64) (/.f64 (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))) (pow.f64 x #s(literal 7 binary64)))))
x
x
x
x
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
1
#s(literal 1 binary64)
(+ 1 (* 1/12 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 6)))))
(fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)))
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 6)))))
(fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)))
(* 1/12 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/12 binary64))
(* (pow x 7) (+ 1/12 (* 1/360 (/ 1 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* (pow x 7) (+ 1/12 (+ (* 1/360 (/ 1 (pow x 4))) (/ 1 (pow x 7)))))
(fma.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (*.f64 x x))))) #s(literal 1 binary64))
(* (pow x 7) (+ 1/12 (+ (* 1/360 (/ 1 (pow x 4))) (/ 1 (pow x 7)))))
(fma.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (*.f64 x x))))) #s(literal 1 binary64))
(* -1/12 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/12 binary64))
(* -1 (* (pow x 7) (+ 1/12 (* 1/360 (/ 1 (pow x 4))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (neg.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(* -1 (* (pow x 7) (- (+ 1/12 (* 1/360 (/ 1 (pow x 4)))) (/ 1 (pow x 7)))))
(fma.f64 (pow.f64 x #s(literal 7 binary64)) (neg.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (*.f64 x x)))))) #s(literal 1 binary64))
(* -1 (* (pow x 7) (- (+ 1/12 (* 1/360 (/ 1 (pow x 4)))) (/ 1 (pow x 7)))))
(fma.f64 (pow.f64 x #s(literal 7 binary64)) (neg.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (*.f64 x x)))))) #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 x))
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/2 binary64))
(+ 1/2 (* x (- (* 5/48 x) 1/4)))
(fma.f64 x (fma.f64 x #s(literal 5/48 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* x (- (* x (+ 5/48 (* -61/1440 x))) 1/4)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -61/1440 binary64) #s(literal 5/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/ 360 (pow x 8))
(/.f64 #s(literal 360 binary64) (pow.f64 x #s(literal 8 binary64)))
(/ 360 (pow x 8))
(/.f64 #s(literal 360 binary64) (pow.f64 x #s(literal 8 binary64)))
(/ (- 360 (* 140400 (/ 1 (pow x 7)))) (pow x 8))
(/.f64 (+.f64 #s(literal 360 binary64) (/.f64 #s(literal -140400 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 x #s(literal 8 binary64)))
(/ (+ 360 (* -1 (/ (+ 140400 (* 259200 (/ 1 x))) (pow x 7)))) (pow x 8))
(/.f64 (+.f64 #s(literal 360 binary64) (/.f64 (+.f64 #s(literal -140400 binary64) (/.f64 #s(literal -259200 binary64) x)) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 x #s(literal 8 binary64)))
(/ 360 (pow x 3))
(/.f64 #s(literal 360 binary64) (.f64 x (.f64 x x)))
(* -1 (/ (- (* 10800 (/ 1 x)) 360) (pow x 3)))
(/.f64 (+.f64 #s(literal 360 binary64) (/.f64 #s(literal -10800 binary64) x)) (.f64 x (.f64 x x)))
(* -1 (/ (- (* -1 (/ (- (* 194400 (/ 1 x)) 10800) x)) 360) (pow x 3)))
(/.f64 (-.f64 #s(literal 360 binary64) (/.f64 (+.f64 #s(literal 10800 binary64) (/.f64 #s(literal -194400 binary64) x)) x)) (.f64 x (.f64 x x)))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2203200 (/ 1 x)) 194400) x)) 10800) x)) 360) (pow x 3)))
(/.f64 (-.f64 #s(literal 360 binary64) (/.f64 (-.f64 #s(literal 10800 binary64) (/.f64 (+.f64 #s(literal 194400 binary64) (/.f64 #s(literal -2203200 binary64) x)) x)) x)) (.f64 x (.f64 x x)))
2
#s(literal 2 binary64)
(+ 2 x)
(+.f64 x #s(literal 2 binary64))
(+ 2 (* x (+ 1 (* 1/12 x))))
(fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
(+ 2 (* x (+ 1 (* x (+ 1/12 (* 1/360 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(* 1/360 (pow x 8))
(*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 8 binary64)))
(* 1/360 (pow x 8))
(*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 1/360 (* 13/12 (/ 1 (pow x 7)))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 13/12 binary64) (pow.f64 x #s(literal 7 binary64)))))
(* (pow x 8) (+ 1/360 (+ (* 13/12 (/ 1 (pow x 7))) (/ 2 (pow x 8)))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 13/12 binary64) (pow.f64 x #s(literal 7 binary64))) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 8 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 x))))
(.f64 x (.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 1/12 binary64))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/12 (/ 1 x)) x)) 1/360)))
(.f64 (-.f64 #s(literal -1/360 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (neg.f64 (.f64 x (*.f64 x x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/12 (+ (/ 1 x) (/ 2 (pow x 2)))) x)) 1/360)))
(.f64 (.f64 x x) (neg.f64 (.f64 x (+.f64 (/.f64 (+.f64 (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -2 binary64) (.f64 x x))) x) #s(literal -1/360 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* 1/12 x))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1 binary64))
(+ 1 (* x (+ 1/12 (* 1/360 x))))
(fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1/12 (* 1/360 x))))
(fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 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)))
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(* -1 (* (pow x 3) (+ 1/129600 (* 1/144 (/ 1 (pow x 3))))))
(fma.f64 x (.f64 (.f64 x x) #s(literal -1/129600 binary64)) #s(literal -1/144 binary64))
(* -1 (* (pow x 3) (+ 1/129600 (* 1/144 (/ 1 (pow x 3))))))
(fma.f64 x (.f64 (.f64 x x) #s(literal -1/129600 binary64)) #s(literal -1/144 binary64))
1/12
#s(literal 1/12 binary64)
(+ 1/12 (* -1/10800 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/10800 binary64)) #s(literal 1/12 binary64))
(+ 1/12 (* (pow x 2) (- (* 1/360 (pow x 6)) 1/10800)))
(fma.f64 x (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 7 binary64)) (*.f64 #s(literal -1/10800 binary64) x)) #s(literal 1/12 binary64))
(+ 1/12 (* (pow x 2) (- (* (pow x 6) (+ 1/360 (* -1/324000 (pow x 2)))) 1/10800)))
(fma.f64 (.f64 x x) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) #s(literal -1/324000 binary64) #s(literal 1/360 binary64)) #s(literal -1/10800 binary64)) #s(literal 1/12 binary64))
(/ 1/360 (pow x 7))
(/.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 7 binary64)))
(/ (- 1/360 (* 5/2 (/ 1 (pow x 3)))) (pow x 7))
(/.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal -5/2 binary64) (.f64 x (.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))
(/ (- 1/360 (* 5/2 (/ 1 (pow x 3)))) (pow x 7))
(/.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal -5/2 binary64) (.f64 x (.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))
(/ (- (+ 1/360 (/ 1/12 (pow x 10))) (* 5/2 (/ 1 (pow x 3)))) (pow x 7))
(/.f64 (+.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal -5/2 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 10 binary64)))) (pow.f64 x #s(literal 7 binary64)))
(/ -1/360 (pow x 7))
(/.f64 #s(literal -1/360 binary64) (pow.f64 x #s(literal 7 binary64)))
(* -1 (/ (+ 1/360 (* 5/2 (/ 1 (pow x 3)))) (pow x 7)))
(/.f64 (-.f64 #s(literal -1/360 binary64) (/.f64 #s(literal 5/2 binary64) (.f64 x (.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (/ (+ 1/360 (* 5/2 (/ 1 (pow x 3)))) (pow x 7)))
(/.f64 (-.f64 #s(literal -1/360 binary64) (/.f64 #s(literal 5/2 binary64) (.f64 x (.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (/ (+ 1/360 (+ (/ 1/12 (pow x 10)) (* 5/2 (/ 1 (pow x 3))))) (pow x 7)))
(/.f64 (+.f64 (/.f64 #s(literal 5/2 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 10 binary64))))) (neg.f64 (pow.f64 x #s(literal 7 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))
x
x
x
x
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
-1/12
#s(literal -1/12 binary64)
(- (* 1/360 (pow x 2)) 1/12)
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))
(- (* 1/360 (pow x 2)) 1/12)
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))
(- (* 1/360 (pow x 2)) 1/12)
(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 3)))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/360 binary64)) #s(literal -1/12 binary64))
(* (pow x 3) (- 1/360 (* 1/12 (/ 1 (pow x 3)))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/360 binary64)) #s(literal -1/12 binary64))
(* (pow x 3) (- 1/360 (* 1/12 (/ 1 (pow x 3)))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/360 binary64)) #s(literal -1/12 binary64))
(* -1/360 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal -1/360 binary64))
(* -1 (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 3))))))
(fma.f64 x (.f64 (.f64 x x) #s(literal -1/360 binary64)) #s(literal -1/12 binary64))
(* -1 (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 3))))))
(fma.f64 x (.f64 (.f64 x x) #s(literal -1/360 binary64)) #s(literal -1/12 binary64))
(* -1 (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 3))))))
(fma.f64 x (.f64 (.f64 x x) #s(literal -1/360 binary64)) #s(literal -1/12 binary64))

eval196.0ms (2.1%)

Memory: 13.9MiB live, 254.8MiB allocated
Compiler: Compiled 31 682 to 3 260 computations (89.7% saved)

prune194.0ms (2.1%)

Memory

-10.2MiB live, 186.7MiB allocated

Pruning

24 alts after pruning (17 fresh and 7 done)

	Pruned	Kept	Total
New	885	8	893
Fresh	2	9	11
Picked	2	3	5
Done	0	4	4
Total	889	24	913

Accuracy

100.0%

Counts

913 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.6%	(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
	49.6%	(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
	49.6%	(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
	49.6%	(/.f64 (.f64 #s(literal 4 binary64) (sinh.f64 x)) (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))
	33.8%	(/.f64 #s(literal 360 binary64) (.f64 x (.f64 x x)))
▶	92.1%	(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)))
	92.1%	(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x (.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) x #s(literal 2 binary64)))
	92.1%	(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (fma.f64 x x #s(literal 2 binary64))))
▶	92.2%	(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/10800 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
✓	92.1%	(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
	92.0%	(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x x) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
✓	91.1%	(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
▶	90.9%	(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (neg.f64 x) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
	92.0%	(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/360 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))
	85.1%	(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
	85.1%	(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64)))
▶	84.9%	(/.f64 #s(literal 2 binary64) (fma.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/360 binary64))) #s(literal 2 binary64)))
✓	74.9%	(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
	85.1%	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
✓	100.0%	(/.f64 #s(literal 1 binary64) (cosh.f64 x))
▶	5.3%	(/.f64 #s(literal 1 binary64) x)
	49.6%	(.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (cosh.f64 (.f64 x #s(literal 3 binary64)))))
✓	50.1%	#s(literal 1 binary64)
✓	10.8%	#s(literal 1/2 binary64)

Compiler

Compiled 609 to 356 computations (41.5% saved)

simplify648.0ms (6.9%)

Memory

-3.9MiB live, 594.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64))
✓	cost-diff	(fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))
✓	cost-diff	(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)))
✓	cost-diff	(fma.f64 x (*.f64 x (fma.f64 x (neg.f64 x) #s(literal 1/12 binary64))) #s(literal 1 binary64))
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (neg.f64 x) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
✓	cost-diff	(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (neg.f64 x) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
✓	cost-diff	(.f64 (.f64 x x) #s(literal 1/360 binary64))
✓	cost-diff	(.f64 x (.f64 (*.f64 x x) #s(literal 1/360 binary64)))
✓	cost-diff	(fma.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/360 binary64))) #s(literal 2 binary64))
✓	cost-diff	(/.f64 #s(literal 2 binary64) (fma.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/360 binary64))) #s(literal 2 binary64)))
✓	cost-diff	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/10800 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64))
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/10800 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
✓	cost-diff	(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/10800 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))

Rules

17 852×	`lower-fma.f32`
17 830×	`lower-fma.f64`
3 510×	`lower-+.f64`
3 510×	`lower-+.f32`
3 236×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	274
0	59	274
1	143	264
2	390	254
3	968	254
4	1902	254
5	3806	254
6	4346	254
7	5966	254
8	7779	254
0	8046	236

Stop Event

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

Calls

Call 1

Inputs
(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/10800 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
#s(literal 2 binary64)
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/10800 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 x x)
x
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/10800 binary64) #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 1/10800 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/10800 binary64) #s(literal 1/360 binary64))
#s(literal 1/10800 binary64)
#s(literal 1/360 binary64)
#s(literal 1/12 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 #s(literal 2 binary64) (fma.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/360 binary64))) #s(literal 2 binary64)))
#s(literal 2 binary64)
(fma.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/360 binary64))) #s(literal 2 binary64))
x
(.f64 x (.f64 (*.f64 x x) #s(literal 1/360 binary64)))
(.f64 (.f64 x x) #s(literal 1/360 binary64))
(*.f64 x x)
#s(literal 1/360 binary64)
(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (neg.f64 x) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
#s(literal 2 binary64)
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (neg.f64 x) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 x x)
x
(fma.f64 x (*.f64 x (fma.f64 x (neg.f64 x) #s(literal 1/12 binary64))) #s(literal 1 binary64))
(*.f64 x (fma.f64 x (neg.f64 x) #s(literal 1/12 binary64)))
(fma.f64 x (neg.f64 x) #s(literal 1/12 binary64))
(neg.f64 x)
#s(literal 1/12 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)))
#s(literal 2 binary64)
(fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64))
(*.f64 x x)
x
(fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(.f64 (.f64 x x) #s(literal 1/360 binary64))
#s(literal 1/360 binary64)
#s(literal 1/12 binary64)
#s(literal 1 binary64)

Outputs
(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/10800 binary64) #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 x (fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/10800 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x) #s(literal 2 binary64)))
#s(literal 2 binary64)
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/10800 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 x (fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/10800 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x) #s(literal 2 binary64))
(*.f64 x x)
x
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/10800 binary64) #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 x (*.f64 x #s(literal 1/10800 binary64)) #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 1/10800 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/10800 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/10800 binary64) #s(literal 1/360 binary64))
(fma.f64 x (*.f64 x #s(literal 1/10800 binary64)) #s(literal 1/360 binary64))
#s(literal 1/10800 binary64)
#s(literal 1/360 binary64)
#s(literal 1/12 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 #s(literal 2 binary64) (fma.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/360 binary64))) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x (*.f64 x x))) #s(literal 2 binary64)))
#s(literal 2 binary64)
(fma.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/360 binary64))) #s(literal 2 binary64))
(fma.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x (*.f64 x x))) #s(literal 2 binary64))
x
(.f64 x (.f64 (*.f64 x x) #s(literal 1/360 binary64)))
(.f64 #s(literal 1/360 binary64) (.f64 x (*.f64 x x)))
(.f64 (.f64 x x) #s(literal 1/360 binary64))
(*.f64 x x)
#s(literal 1/360 binary64)
(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (neg.f64 x) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(neg.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x x #s(literal -1/12 binary64))) #s(literal -1 binary64))) #s(literal -2 binary64))))
#s(literal 2 binary64)
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (neg.f64 x) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 x (fma.f64 (-.f64 #s(literal 1/12 binary64) (.f64 x x)) (.f64 x (*.f64 x x)) x) #s(literal 2 binary64))
(*.f64 x x)
x
(fma.f64 x (*.f64 x (fma.f64 x (neg.f64 x) #s(literal 1/12 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 x x) (-.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal 1 binary64))
(*.f64 x (fma.f64 x (neg.f64 x) #s(literal 1/12 binary64)))
(neg.f64 (*.f64 x (fma.f64 x x #s(literal -1/12 binary64))))
(fma.f64 x (neg.f64 x) #s(literal 1/12 binary64))
(-.f64 #s(literal 1/12 binary64) (*.f64 x x))
(neg.f64 x)
#s(literal 1/12 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.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 #s(literal 1/360 binary64) (.f64 x (*.f64 x x))) #s(literal 1/12 binary64))) x) #s(literal 2 binary64)))
#s(literal 2 binary64)
(fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x (*.f64 x x))) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.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 x (.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x x))) #s(literal 1/12 binary64)) #s(literal 1 binary64))
(*.f64 x x)
x
(fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(fma.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x (*.f64 x x))) #s(literal 1/12 binary64))
(.f64 (.f64 x x) #s(literal 1/360 binary64))
#s(literal 1/360 binary64)
#s(literal 1/12 binary64)
#s(literal 1 binary64)

localize194.0ms (2.1%)

Memory

0.6MiB live, 231.5MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	11.1%	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64))
✓	accuracy	8.6%	(fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
✓	accuracy	4.4%	(.f64 (.f64 x x) #s(literal 1/360 binary64))
✓	accuracy	3.3%	(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)))
✓	accuracy	2.9%	(fma.f64 x (neg.f64 x) #s(literal 1/12 binary64))
✓	accuracy	2.2%	(fma.f64 x (*.f64 x (fma.f64 x (neg.f64 x) #s(literal 1/12 binary64))) #s(literal 1 binary64))
✓	accuracy	2.2%	(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (neg.f64 x) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
✓	accuracy	1.4%	(neg.f64 x)
✓	accuracy	11.2%	(/.f64 #s(literal 2 binary64) (fma.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/360 binary64))) #s(literal 2 binary64)))
✓	accuracy	10.4%	(fma.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/360 binary64))) #s(literal 2 binary64))
✓	accuracy	6.6%	(.f64 x (.f64 (*.f64 x x) #s(literal 1/360 binary64)))
✓	accuracy	4.4%	(.f64 (.f64 x x) #s(literal 1/360 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	33.4%	(fma.f64 (*.f64 x x) #s(literal 1/10800 binary64) #s(literal 1/360 binary64))
✓	accuracy	28.6%	(*.f64 x x)
✓	accuracy	9.3%	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/10800 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
✓	accuracy	8.7%	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/10800 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64))

Samples

139.0ms

256×

valid

Compiler

Compiled 586 to 67 computations (88.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 103.0ms

ival-mult: 55.0ms (53.2% of total)

ival-add: 30.0ms (29% of total)

ival-div: 8.0ms (7.7% of total)

const: 8.0ms (7.7% of total)

ival-neg: 1.0ms (1% of total)

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

exact: 0.0ms (0% of total)

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

series24.0ms (0.3%)

Memory

19.6MiB live, 64.0MiB allocated

Counts

19 → 228

Calls

Call 1

Inputs
#<alt (/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/10800 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))>
#<alt (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/10800 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))>
#<alt (*.f64 x x)>
#<alt (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/10800 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 #s(literal 2 binary64) (fma.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/360 binary64))) #s(literal 2 binary64)))>
#<alt (fma.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/360 binary64))) #s(literal 2 binary64))>
#<alt (.f64 x (.f64 (*.f64 x x) #s(literal 1/360 binary64)))>
#<alt (.f64 (.f64 x x) #s(literal 1/360 binary64))>
#<alt (/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (neg.f64 x) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))>
#<alt (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (neg.f64 x) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))>
#<alt (fma.f64 x (*.f64 x (fma.f64 x (neg.f64 x) #s(literal 1/12 binary64))) #s(literal 1 binary64))>
#<alt (/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)))>
#<alt (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))>
#<alt (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64))>
#<alt (fma.f64 (*.f64 x x) #s(literal 1/10800 binary64) #s(literal 1/360 binary64))>
#<alt (neg.f64 x)>
#<alt (fma.f64 x (neg.f64 x) #s(literal 1/12 binary64))>
#<alt (fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))>

Outputs
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 x))>
#<alt (+ 1/2 (* x (- (* 5/48 x) 1/4)))>
#<alt (+ 1/2 (* x (- (* x (+ 5/48 (* -61/1440 x))) 1/4)))>
#<alt (/ 360 (pow x 14))>
#<alt (/ 360 (pow x 14))>
#<alt (/ (- 360 (* 10800 (/ 1 (pow x 7)))) (pow x 14))>
#<alt (/ (+ 360 (* -1 (/ (+ 10800 (* 12 (/ 1 (pow x 4)))) (pow x 7)))) (pow x 14))>
#<alt (/ 360 (pow x 14))>
#<alt (/ 360 (pow x 14))>
#<alt (/ (+ 360 (* 10800 (/ 1 (pow x 7)))) (pow x 14))>
#<alt (/ (+ 360 (+ (* 10800 (/ 1 (pow x 7))) (/ 12 (pow x 11)))) (pow x 14))>
#<alt 2>
#<alt (+ 2 x)>
#<alt (+ 2 (* x (+ 1 (* 1/12 x))))>
#<alt (+ 2 (* x (+ 1 (* x (+ 1/12 (* 1/360 x))))))>
#<alt (* 1/360 (pow x 14))>
#<alt (* 1/360 (pow x 14))>
#<alt (* (pow x 14) (+ 1/360 (* 1/12 (/ 1 (pow x 7)))))>
#<alt (* (pow x 14) (+ 1/360 (+ (/ 1/10800 (pow x 11)) (* 1/12 (/ 1 (pow x 7))))))>
#<alt (* 1/360 (pow x 14))>
#<alt (* 1/360 (pow x 14))>
#<alt (* (pow x 14) (- 1/360 (* 1/12 (/ 1 (pow x 7)))))>
#<alt (* (pow x 14) (+ 1/360 (* -1 (/ (+ 1/12 (* 1/10800 (/ 1 (pow x 4)))) (pow x 7)))))>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<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 (* 1/12 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/10800 (pow x 2)))))))>
#<alt (* 1/10800 (pow x 12))>
#<alt (* (pow x 12) (+ 1/10800 (* 1/12 (/ 1 (pow x 5)))))>
#<alt (* (pow x 12) (+ 1/10800 (+ (/ 1/360 (pow x 9)) (* 1/12 (/ 1 (pow x 5))))))>
#<alt (* (pow x 12) (+ 1/10800 (+ (/ 1/360 (pow x 9)) (+ (* 1/12 (/ 1 (pow x 5))) (/ 1 (pow x 12))))))>
#<alt (* 1/10800 (pow x 12))>
#<alt (* (pow x 12) (- 1/10800 (* 1/12 (/ 1 (pow x 5)))))>
#<alt (* (pow x 12) (+ 1/10800 (* -1 (/ (+ 1/12 (* 1/360 (/ 1 (pow x 4)))) (pow x 5)))))>
#<alt (* (pow x 12) (+ 1/10800 (* -1 (/ (- (+ 1/12 (* 1/360 (/ 1 (pow x 4)))) (/ 1 (pow x 7))) (pow x 5)))))>
#<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)>
#<alt 1/2>
#<alt (+ 1/2 (* -1/1440 (pow x 3)))>
#<alt (+ 1/2 (* (pow x 3) (- (* 1/1036800 (pow x 3)) 1/1440)))>
#<alt (+ 1/2 (* (pow x 3) (- (* (pow x 3) (+ 1/1036800 (* -1/746496000 (pow x 3)))) 1/1440)))>
#<alt (/ 360 (pow x 4))>
#<alt (/ (- 360 (* 259200 (/ 1 (pow x 4)))) (pow x 4))>
#<alt (/ (- (+ 360 (/ 186624000 (pow x 8))) (* 259200 (/ 1 (pow x 4)))) (pow x 4))>
#<alt (/ (- (+ 360 (/ 186624000 (pow x 8))) (+ (* 259200 (/ 1 (pow x 4))) (* 134369280000 (/ 1 (pow x 12))))) (pow x 4))>
#<alt (/ 360 (pow x 4))>
#<alt (/ (- 360 (* 259200 (/ 1 (pow x 4)))) (pow x 4))>
#<alt (/ (- (+ 360 (/ 186624000 (pow x 8))) (* 259200 (/ 1 (pow x 4)))) (pow x 4))>
#<alt (/ (- (+ 360 (/ 186624000 (pow x 8))) (+ (* 259200 (/ 1 (pow x 4))) (* 134369280000 (/ 1 (pow x 12))))) (pow x 4))>
#<alt 2>
#<alt (+ 2 (* 1/360 (pow x 3)))>
#<alt (+ 2 (* 1/360 (pow x 3)))>
#<alt (+ 2 (* 1/360 (pow x 3)))>
#<alt (* 1/360 (pow x 4))>
#<alt (* (pow x 4) (+ 1/360 (* 2 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/360 (* 2 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/360 (* 2 (/ 1 (pow x 4)))))>
#<alt (* 1/360 (pow x 4))>
#<alt (* (pow x 4) (+ 1/360 (* 2 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/360 (* 2 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/360 (* 2 (/ 1 (pow x 4)))))>
#<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 (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 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 x))>
#<alt (+ 1/2 (* x (- (* 5/48 x) 1/4)))>
#<alt (+ 1/2 (* x (- (* x (+ 5/48 (* 5/24 x))) 1/4)))>
#<alt (/ -1 (pow x 11))>
#<alt (/ -1 (pow x 11))>
#<alt (* -1 (/ (+ 1 (* 1/12 (/ 1 (pow x 8)))) (pow x 11)))>
#<alt (/ (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 8))) 1) (pow x 11))>
#<alt (/ 1 (pow x 11))>
#<alt (/ 1 (pow x 11))>
#<alt (/ (+ 1 (* 1/12 (/ 1 (pow x 8)))) (pow x 11))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 8))) 1) (pow x 11)))>
#<alt 2>
#<alt (+ 2 x)>
#<alt (+ 2 (* x (+ 1 (* 1/12 x))))>
#<alt (+ 2 (* x (+ 1 (* x (+ 1/12 (* -1 x))))))>
#<alt (* -1 (pow x 11))>
#<alt (* -1 (pow x 11))>
#<alt (* (pow x 11) (- (* 1/12 (/ 1 (pow x 8))) 1))>
#<alt (* (pow x 11) (- (+ (* 1/12 (/ 1 (pow x 8))) (/ 1 (pow x 10))) 1))>
#<alt (pow x 11)>
#<alt (pow x 11)>
#<alt (* -1 (* (pow x 11) (- (* 1/12 (/ 1 (pow x 8))) 1)))>
#<alt (* -1 (* (pow x 11) (- (+ (* 1/12 (/ 1 (pow x 8))) (/ 1 (pow x 10))) 1)))>
#<alt 1>
#<alt (+ 1 (* 1/12 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/12 (* -1 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/12 (* -1 (pow x 2)))))>
#<alt (* -1 (pow x 8))>
#<alt (* (pow x 8) (- (* 1/12 (/ 1 (pow x 5))) 1))>
#<alt (* (pow x 8) (- (+ (* 1/12 (/ 1 (pow x 5))) (/ 1 (pow x 8))) 1))>
#<alt (* (pow x 8) (- (+ (* 1/12 (/ 1 (pow x 5))) (/ 1 (pow x 8))) 1))>
#<alt (* -1 (pow x 8))>
#<alt (* -1 (* (pow x 8) (+ 1 (* 1/12 (/ 1 (pow x 5))))))>
#<alt (* (pow x 8) (- (* -1 (/ (- 1/12 (/ 1 (pow x 3))) (pow x 5))) 1))>
#<alt (* (pow x 8) (- (* -1 (/ (- 1/12 (/ 1 (pow x 3))) (pow x 5))) 1))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 x))>
#<alt (+ 1/2 (* x (- (* 5/48 x) 1/4)))>
#<alt (+ 1/2 (* x (- (* x (+ 5/48 (* -1/24 x))) 1/4)))>
#<alt (/ 360 (pow x 10))>
#<alt (/ 360 (pow x 10))>
#<alt (/ (- 360 (* 10800 (/ 1 (pow x 7)))) (pow x 10))>
#<alt (/ (+ 360 (* -1 (/ (+ 10800 (* 129600 (/ 1 (pow x 2)))) (pow x 7)))) (pow x 10))>
#<alt (/ 360 (pow x 10))>
#<alt (/ 360 (pow x 10))>
#<alt (/ (+ 360 (* 10800 (/ 1 (pow x 7)))) (pow x 10))>
#<alt (/ (+ 360 (+ (* 10800 (/ 1 (pow x 7))) (/ 129600 (pow x 9)))) (pow x 10))>
#<alt 2>
#<alt (+ 2 x)>
#<alt (+ 2 (* x (+ 1 (* 1/12 x))))>
#<alt (+ 2 (* x (+ 1 (* x (+ 1/12 (* 1/360 (pow x 6)))))))>
#<alt (* 1/360 (pow x 10))>
#<alt (* 1/360 (pow x 10))>
#<alt (* (pow x 10) (+ 1/360 (* 1/12 (/ 1 (pow x 7)))))>
#<alt (* (pow x 10) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 7))) (/ 1 (pow x 9)))))>
#<alt (* 1/360 (pow x 10))>
#<alt (* 1/360 (pow x 10))>
#<alt (* (pow x 10) (- 1/360 (* 1/12 (/ 1 (pow x 7)))))>
#<alt (* (pow x 10) (+ 1/360 (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 7)))))>
#<alt 1>
#<alt (+ 1 (* 1/12 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 6)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 6)))))>
#<alt (* 1/12 (pow x 7))>
#<alt (* (pow x 7) (+ 1/12 (* 1/360 (/ 1 (pow x 4)))))>
#<alt (* (pow x 7) (+ 1/12 (+ (* 1/360 (/ 1 (pow x 4))) (/ 1 (pow x 7)))))>
#<alt (* (pow x 7) (+ 1/12 (+ (* 1/360 (/ 1 (pow x 4))) (/ 1 (pow x 7)))))>
#<alt (* -1/12 (pow x 7))>
#<alt (* -1 (* (pow x 7) (+ 1/12 (* 1/360 (/ 1 (pow x 4))))))>
#<alt (* -1 (* (pow x 7) (- (+ 1/12 (* 1/360 (/ 1 (pow x 4)))) (/ 1 (pow x 7)))))>
#<alt (* -1 (* (pow x 7) (- (+ 1/12 (* 1/360 (/ 1 (pow x 4)))) (/ 1 (pow x 7)))))>
#<alt 1/360>
#<alt (+ 1/360 (* 1/10800 (pow x 3)))>
#<alt (+ 1/360 (* 1/10800 (pow x 3)))>
#<alt (+ 1/360 (* 1/10800 (pow x 3)))>
#<alt (* 1/10800 (pow x 4))>
#<alt (* (pow x 4) (+ 1/10800 (* 1/360 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/10800 (* 1/360 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/10800 (* 1/360 (/ 1 (pow x 4)))))>
#<alt (* 1/10800 (pow x 4))>
#<alt (* (pow x 4) (+ 1/10800 (* 1/360 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/10800 (* 1/360 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/10800 (* 1/360 (/ 1 (pow x 4)))))>
#<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)>
#<alt 1/12>
#<alt (+ 1/12 (* -1 (pow x 3)))>
#<alt (+ 1/12 (* -1 (pow x 3)))>
#<alt (+ 1/12 (* -1 (pow x 3)))>
#<alt (* -1 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/12 (/ 1 (pow x 3))) 1))>
#<alt (* (pow x 3) (- (* 1/12 (/ 1 (pow x 3))) 1))>
#<alt (* (pow x 3) (- (* 1/12 (/ 1 (pow x 3))) 1))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (* 1/12 (/ 1 (pow x 3)))))>
#<alt (* (pow x 3) (+ 1 (* 1/12 (/ 1 (pow x 3)))))>
#<alt (* (pow x 3) (+ 1 (* 1/12 (/ 1 (pow x 3)))))>
#<alt 1/12>
#<alt (+ 1/12 (* 1/360 (pow x 3)))>
#<alt (+ 1/12 (* 1/360 (pow x 3)))>
#<alt (+ 1/12 (* 1/360 (pow x 3)))>
#<alt (* 1/360 (pow x 4))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 4)))))>
#<alt (* 1/360 (pow x 4))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 4)))))>

Calls

57 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(* (* x x) 1/360)
1.0ms	x	@	inf	(/ 2 (+ (* x (* x (* (* x x) 1/360))) 2))
1.0ms	x	@	inf	(/ 2 (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/10800) 1/360)) 1/12)) 1)) 2))
1.0ms	x	@	inf	(+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/10800) 1/360)) 1/12)) 1)
1.0ms	x	@	-inf	(+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/10800) 1/360)) 1/12)) 1)

Compiler

Compiled 806 to 613 computations (23.9% saved)

rewrite433.0ms (4.6%)

Memory

5.6MiB live, 640.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 890×	`lower-fma.f32`
6 868×	`lower-fma.f64`
4 134×	`lower-*.f32`
4 126×	`lower-*.f64`
3 430×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	222
0	59	222
1	306	202
2	2386	202
0	8425	188

Stop Event

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

Counts

19 → 475

Calls

Call 1

Inputs
(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/10800 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/10800 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 x x)
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/10800 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 2 binary64) (fma.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/360 binary64))) #s(literal 2 binary64)))
(fma.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/360 binary64))) #s(literal 2 binary64))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/360 binary64)))
(.f64 (.f64 x x) #s(literal 1/360 binary64))
(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (neg.f64 x) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (neg.f64 x) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 x (*.f64 x (fma.f64 x (neg.f64 x) #s(literal 1/12 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)))
(fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/10800 binary64) #s(literal 1/360 binary64))
(neg.f64 x)
(fma.f64 x (neg.f64 x) #s(literal 1/12 binary64))
(fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))

Outputs
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/10800 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/10800 binary64) #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 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/10800 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/10800 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/10800 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/10800 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/10800 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/10800 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/10800 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -2 binary64) (neg.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/10800 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/10800 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))))
(pow.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/10800 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/10800 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/10800 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/10800 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/10800 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/10800 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/10800 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) #s(literal 1 binary64))) (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/10800 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) #s(literal 1 binary64))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/10800 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) #s(literal 1 binary64)))) #s(literal 8 binary64))) (-.f64 (fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/10800 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/10800 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) #s(literal 1 binary64)))) #s(literal 4 binary64)) (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/10800 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (.f64 (*.f64 x x) #s(literal 2 binary64)))))
(.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/10800 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) #s(literal 1 binary64))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/10800 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) #s(literal 1 binary64))) #s(literal -4 binary64))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/10800 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/10800 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) #s(literal 1 binary64))))
(+.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/10800 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))
(+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/10800 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))) (fma.f64 x x #s(literal 2 binary64)))
(+.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/10800 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))))) (*.f64 x x))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/10800 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) #s(literal 1 binary64))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/10800 binary64) #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 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/10800 binary64) #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 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/10800 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/10800 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) #s(literal 1 binary64))))) (/.f64 (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/10800 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) #s(literal 1 binary64))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/10800 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) #s(literal 1 binary64)))) (-.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/10800 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) #s(literal 1 binary64))))))
(fma.f64 x (fma.f64 x (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/10800 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))
(fma.f64 x (.f64 x (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/10800 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))) (fma.f64 x x #s(literal 2 binary64)))
(fma.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/10800 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) (*.f64 x x)) (fma.f64 x x #s(literal 2 binary64)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/10800 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/10800 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) (fma.f64 x x #s(literal 2 binary64)))
(fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/10800 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 (.f64 x x) (*.f64 x x)) (fma.f64 x x #s(literal 2 binary64)))
(fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/10800 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))
(fma.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/10800 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) (*.f64 x x) (fma.f64 x x #s(literal 2 binary64)))
(fma.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/10800 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (fma.f64 x x #s(literal 2 binary64)))
(fma.f64 (fma.f64 x (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/10800 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) x) x #s(literal 2 binary64))
(fma.f64 (.f64 x (.f64 x x)) (.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/10800 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) (fma.f64 x x #s(literal 2 binary64)))
(fma.f64 (.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/10800 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) x) x (fma.f64 x x #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/10800 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/10800 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) #s(literal 1 binary64)))) #s(literal 4 binary64)) (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/10800 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal 2 binary64)))) (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/10800 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) #s(literal 1 binary64))) (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/10800 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) #s(literal 1 binary64))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/10800 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) #s(literal 1 binary64)))) #s(literal 8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/10800 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/10800 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) #s(literal 1 binary64))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/10800 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) #s(literal 1 binary64))) #s(literal -4 binary64))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/129600 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x)))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/360 binary64)) #s(literal -1/12 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/144 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/360 binary64)) #s(literal -1/12 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 1/129600 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x)))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/360 binary64)) #s(literal -1/12 binary64))) (/.f64 (.f64 #s(literal 1/129600 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x)))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/360 binary64)) #s(literal -1/12 binary64))) (fma.f64 (/.f64 #s(literal 1/144 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/360 binary64)) #s(literal -1/12 binary64))) (/.f64 #s(literal 1/144 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/360 binary64)) #s(literal -1/12 binary64))) (.f64 (/.f64 (.f64 #s(literal 1/129600 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x)))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/360 binary64)) #s(literal -1/12 binary64))) (/.f64 #s(literal 1/144 binary64) (fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/360 binary64)) #s(literal -1/12 binary64)))))))
(pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/129600 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/144 binary64)) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/4320 binary64))) (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 #s(literal 1/46656000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 1/1728 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/360 binary64)) #s(literal -1/12 binary64)) (fma.f64 #s(literal 1/129600 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1/144 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 #s(literal 1/46656000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 1/1728 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/129600 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/144 binary64)) (.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 1/4320 binary64)))))
(.f64 (fma.f64 #s(literal 1/129600 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1/144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/360 binary64)) #s(literal -1/12 binary64))))

simplify458.0ms (4.9%)

Memory

-12.5MiB live, 756.6MiB allocated

Algorithm

1×	egg-herbie

Rules

16 276×	`lower-fma.f64`
16 276×	`lower-fma.f32`
5 172×	`lower-*.f64`
5 172×	`lower-*.f32`
3 936×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	292	1746
1	799	1731
2	1913	1611
3	4586	1597
0	8387	1509

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 224

Calls

Call 1

Inputs
1/2
(+ 1/2 (* -1/4 x))
(+ 1/2 (* x (- (* 5/48 x) 1/4)))
(+ 1/2 (* x (- (* x (+ 5/48 (* -61/1440 x))) 1/4)))
(/ 360 (pow x 14))
(/ 360 (pow x 14))
(/ (- 360 (* 10800 (/ 1 (pow x 7)))) (pow x 14))
(/ (+ 360 (* -1 (/ (+ 10800 (* 12 (/ 1 (pow x 4)))) (pow x 7)))) (pow x 14))
(/ 360 (pow x 14))
(/ 360 (pow x 14))
(/ (+ 360 (* 10800 (/ 1 (pow x 7)))) (pow x 14))
(/ (+ 360 (+ (* 10800 (/ 1 (pow x 7))) (/ 12 (pow x 11)))) (pow x 14))
2
(+ 2 x)
(+ 2 (* x (+ 1 (* 1/12 x))))
(+ 2 (* x (+ 1 (* x (+ 1/12 (* 1/360 x))))))
(* 1/360 (pow x 14))
(* 1/360 (pow x 14))
(* (pow x 14) (+ 1/360 (* 1/12 (/ 1 (pow x 7)))))
(* (pow x 14) (+ 1/360 (+ (/ 1/10800 (pow x 11)) (* 1/12 (/ 1 (pow x 7))))))
(* 1/360 (pow x 14))
(* 1/360 (pow x 14))
(* (pow x 14) (- 1/360 (* 1/12 (/ 1 (pow x 7)))))
(* (pow x 14) (+ 1/360 (* -1 (/ (+ 1/12 (* 1/10800 (/ 1 (pow x 4)))) (pow x 7)))))
x
x
x
x
(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 (* 1/12 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/10800 (pow x 2)))))))
(* 1/10800 (pow x 12))
(* (pow x 12) (+ 1/10800 (* 1/12 (/ 1 (pow x 5)))))
(* (pow x 12) (+ 1/10800 (+ (/ 1/360 (pow x 9)) (* 1/12 (/ 1 (pow x 5))))))
(* (pow x 12) (+ 1/10800 (+ (/ 1/360 (pow x 9)) (+ (* 1/12 (/ 1 (pow x 5))) (/ 1 (pow x 12))))))
(* 1/10800 (pow x 12))
(* (pow x 12) (- 1/10800 (* 1/12 (/ 1 (pow x 5)))))
(* (pow x 12) (+ 1/10800 (* -1 (/ (+ 1/12 (* 1/360 (/ 1 (pow x 4)))) (pow x 5)))))
(* (pow x 12) (+ 1/10800 (* -1 (/ (- (+ 1/12 (* 1/360 (/ 1 (pow x 4)))) (/ 1 (pow x 7))) (pow x 5)))))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
1/2
(+ 1/2 (* -1/1440 (pow x 3)))
(+ 1/2 (* (pow x 3) (- (* 1/1036800 (pow x 3)) 1/1440)))
(+ 1/2 (* (pow x 3) (- (* (pow x 3) (+ 1/1036800 (* -1/746496000 (pow x 3)))) 1/1440)))
(/ 360 (pow x 4))
(/ (- 360 (* 259200 (/ 1 (pow x 4)))) (pow x 4))
(/ (- (+ 360 (/ 186624000 (pow x 8))) (* 259200 (/ 1 (pow x 4)))) (pow x 4))
(/ (- (+ 360 (/ 186624000 (pow x 8))) (+ (* 259200 (/ 1 (pow x 4))) (* 134369280000 (/ 1 (pow x 12))))) (pow x 4))
(/ 360 (pow x 4))
(/ (- 360 (* 259200 (/ 1 (pow x 4)))) (pow x 4))
(/ (- (+ 360 (/ 186624000 (pow x 8))) (* 259200 (/ 1 (pow x 4)))) (pow x 4))
(/ (- (+ 360 (/ 186624000 (pow x 8))) (+ (* 259200 (/ 1 (pow x 4))) (* 134369280000 (/ 1 (pow x 12))))) (pow x 4))
2
(+ 2 (* 1/360 (pow x 3)))
(+ 2 (* 1/360 (pow x 3)))
(+ 2 (* 1/360 (pow x 3)))
(* 1/360 (pow x 4))
(* (pow x 4) (+ 1/360 (* 2 (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/360 (* 2 (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/360 (* 2 (/ 1 (pow x 4)))))
(* 1/360 (pow x 4))
(* (pow x 4) (+ 1/360 (* 2 (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/360 (* 2 (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/360 (* 2 (/ 1 (pow x 4)))))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (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)
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (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)
1/2
(+ 1/2 (* -1/4 x))
(+ 1/2 (* x (- (* 5/48 x) 1/4)))
(+ 1/2 (* x (- (* x (+ 5/48 (* 5/24 x))) 1/4)))
(/ -1 (pow x 11))
(/ -1 (pow x 11))
(* -1 (/ (+ 1 (* 1/12 (/ 1 (pow x 8)))) (pow x 11)))
(/ (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 8))) 1) (pow x 11))
(/ 1 (pow x 11))
(/ 1 (pow x 11))
(/ (+ 1 (* 1/12 (/ 1 (pow x 8)))) (pow x 11))
(* -1 (/ (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 8))) 1) (pow x 11)))
2
(+ 2 x)
(+ 2 (* x (+ 1 (* 1/12 x))))
(+ 2 (* x (+ 1 (* x (+ 1/12 (* -1 x))))))
(* -1 (pow x 11))
(* -1 (pow x 11))
(* (pow x 11) (- (* 1/12 (/ 1 (pow x 8))) 1))
(* (pow x 11) (- (+ (* 1/12 (/ 1 (pow x 8))) (/ 1 (pow x 10))) 1))
(pow x 11)
(pow x 11)
(* -1 (* (pow x 11) (- (* 1/12 (/ 1 (pow x 8))) 1)))
(* -1 (* (pow x 11) (- (+ (* 1/12 (/ 1 (pow x 8))) (/ 1 (pow x 10))) 1)))
1
(+ 1 (* 1/12 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/12 (* -1 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/12 (* -1 (pow x 2)))))
(* -1 (pow x 8))
(* (pow x 8) (- (* 1/12 (/ 1 (pow x 5))) 1))
(* (pow x 8) (- (+ (* 1/12 (/ 1 (pow x 5))) (/ 1 (pow x 8))) 1))
(* (pow x 8) (- (+ (* 1/12 (/ 1 (pow x 5))) (/ 1 (pow x 8))) 1))
(* -1 (pow x 8))
(* -1 (* (pow x 8) (+ 1 (* 1/12 (/ 1 (pow x 5))))))
(* (pow x 8) (- (* -1 (/ (- 1/12 (/ 1 (pow x 3))) (pow x 5))) 1))
(* (pow x 8) (- (* -1 (/ (- 1/12 (/ 1 (pow x 3))) (pow x 5))) 1))
1/2
(+ 1/2 (* -1/4 x))
(+ 1/2 (* x (- (* 5/48 x) 1/4)))
(+ 1/2 (* x (- (* x (+ 5/48 (* -1/24 x))) 1/4)))
(/ 360 (pow x 10))
(/ 360 (pow x 10))
(/ (- 360 (* 10800 (/ 1 (pow x 7)))) (pow x 10))
(/ (+ 360 (* -1 (/ (+ 10800 (* 129600 (/ 1 (pow x 2)))) (pow x 7)))) (pow x 10))
(/ 360 (pow x 10))
(/ 360 (pow x 10))
(/ (+ 360 (* 10800 (/ 1 (pow x 7)))) (pow x 10))
(/ (+ 360 (+ (* 10800 (/ 1 (pow x 7))) (/ 129600 (pow x 9)))) (pow x 10))
2
(+ 2 x)
(+ 2 (* x (+ 1 (* 1/12 x))))
(+ 2 (* x (+ 1 (* x (+ 1/12 (* 1/360 (pow x 6)))))))
(* 1/360 (pow x 10))
(* 1/360 (pow x 10))
(* (pow x 10) (+ 1/360 (* 1/12 (/ 1 (pow x 7)))))
(* (pow x 10) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 7))) (/ 1 (pow x 9)))))
(* 1/360 (pow x 10))
(* 1/360 (pow x 10))
(* (pow x 10) (- 1/360 (* 1/12 (/ 1 (pow x 7)))))
(* (pow x 10) (+ 1/360 (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 7)))))
1
(+ 1 (* 1/12 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 6)))))
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 6)))))
(* 1/12 (pow x 7))
(* (pow x 7) (+ 1/12 (* 1/360 (/ 1 (pow x 4)))))
(* (pow x 7) (+ 1/12 (+ (* 1/360 (/ 1 (pow x 4))) (/ 1 (pow x 7)))))
(* (pow x 7) (+ 1/12 (+ (* 1/360 (/ 1 (pow x 4))) (/ 1 (pow x 7)))))
(* -1/12 (pow x 7))
(* -1 (* (pow x 7) (+ 1/12 (* 1/360 (/ 1 (pow x 4))))))
(* -1 (* (pow x 7) (- (+ 1/12 (* 1/360 (/ 1 (pow x 4)))) (/ 1 (pow x 7)))))
(* -1 (* (pow x 7) (- (+ 1/12 (* 1/360 (/ 1 (pow x 4)))) (/ 1 (pow x 7)))))
1/360
(+ 1/360 (* 1/10800 (pow x 3)))
(+ 1/360 (* 1/10800 (pow x 3)))
(+ 1/360 (* 1/10800 (pow x 3)))
(* 1/10800 (pow x 4))
(* (pow x 4) (+ 1/10800 (* 1/360 (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/10800 (* 1/360 (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/10800 (* 1/360 (/ 1 (pow x 4)))))
(* 1/10800 (pow x 4))
(* (pow x 4) (+ 1/10800 (* 1/360 (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/10800 (* 1/360 (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/10800 (* 1/360 (/ 1 (pow x 4)))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
1/12
(+ 1/12 (* -1 (pow x 3)))
(+ 1/12 (* -1 (pow x 3)))
(+ 1/12 (* -1 (pow x 3)))
(* -1 (pow x 3))
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 3))) 1))
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 3))) 1))
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 3))) 1))
(pow x 3)
(* (pow x 3) (+ 1 (* 1/12 (/ 1 (pow x 3)))))
(* (pow x 3) (+ 1 (* 1/12 (/ 1 (pow x 3)))))
(* (pow x 3) (+ 1 (* 1/12 (/ 1 (pow x 3)))))
1/12
(+ 1/12 (* 1/360 (pow x 3)))
(+ 1/12 (* 1/360 (pow x 3)))
(+ 1/12 (* 1/360 (pow x 3)))
(* 1/360 (pow x 4))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 4)))))
(* 1/360 (pow x 4))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 4)))))

Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 x))
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/2 binary64))
(+ 1/2 (* x (- (* 5/48 x) 1/4)))
(fma.f64 x (fma.f64 x #s(literal 5/48 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* x (- (* x (+ 5/48 (* -61/1440 x))) 1/4)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -61/1440 binary64) #s(literal 5/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/ 360 (pow x 14))
(/.f64 #s(literal 360 binary64) (pow.f64 x #s(literal 14 binary64)))
(/ 360 (pow x 14))
(/.f64 #s(literal 360 binary64) (pow.f64 x #s(literal 14 binary64)))
(/ (- 360 (* 10800 (/ 1 (pow x 7)))) (pow x 14))
(/.f64 (+.f64 #s(literal 360 binary64) (/.f64 #s(literal -10800 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (pow.f64 x #s(literal 14 binary64)))
(/ (+ 360 (* -1 (/ (+ 10800 (* 12 (/ 1 (pow x 4)))) (pow x 7)))) (pow x 14))
(/.f64 (-.f64 #s(literal 360 binary64) (/.f64 (+.f64 #s(literal 10800 binary64) (/.f64 #s(literal 12 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 14 binary64)))
(/ 360 (pow x 14))
(/.f64 #s(literal 360 binary64) (pow.f64 x #s(literal 14 binary64)))
(/ 360 (pow x 14))
(/.f64 #s(literal 360 binary64) (pow.f64 x #s(literal 14 binary64)))
(/ (+ 360 (* 10800 (/ 1 (pow x 7)))) (pow x 14))
(/.f64 (+.f64 #s(literal 360 binary64) (/.f64 #s(literal 10800 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (pow.f64 x #s(literal 14 binary64)))
(/ (+ 360 (+ (* 10800 (/ 1 (pow x 7))) (/ 12 (pow x 11)))) (pow x 14))
(/.f64 (+.f64 (/.f64 #s(literal 10800 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (+.f64 #s(literal 360 binary64) (/.f64 #s(literal 12 binary64) (pow.f64 x #s(literal 11 binary64))))) (pow.f64 x #s(literal 14 binary64)))
2
#s(literal 2 binary64)
(+ 2 x)
(+.f64 x #s(literal 2 binary64))
(+ 2 (* x (+ 1 (* 1/12 x))))
(fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
(+ 2 (* x (+ 1 (* x (+ 1/12 (* 1/360 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(* 1/360 (pow x 14))
(*.f64 (pow.f64 x #s(literal 14 binary64)) #s(literal 1/360 binary64))
(* 1/360 (pow x 14))
(*.f64 (pow.f64 x #s(literal 14 binary64)) #s(literal 1/360 binary64))
(* (pow x 14) (+ 1/360 (* 1/12 (/ 1 (pow x 7)))))
(.f64 (pow.f64 x #s(literal 14 binary64)) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))))))
(* (pow x 14) (+ 1/360 (+ (/ 1/10800 (pow x 11)) (* 1/12 (/ 1 (pow x 7))))))
(.f64 (pow.f64 x #s(literal 14 binary64)) (+.f64 (/.f64 #s(literal 1/12 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/10800 binary64) (pow.f64 x #s(literal 11 binary64))))))
(* 1/360 (pow x 14))
(*.f64 (pow.f64 x #s(literal 14 binary64)) #s(literal 1/360 binary64))
(* 1/360 (pow x 14))
(*.f64 (pow.f64 x #s(literal 14 binary64)) #s(literal 1/360 binary64))
(* (pow x 14) (- 1/360 (* 1/12 (/ 1 (pow x 7)))))
(.f64 (pow.f64 x #s(literal 14 binary64)) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal -1/12 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))))))
(* (pow x 14) (+ 1/360 (* -1 (/ (+ 1/12 (* 1/10800 (/ 1 (pow x 4)))) (pow x 7)))))
(.f64 (pow.f64 x #s(literal 14 binary64)) (+.f64 #s(literal 1/360 binary64) (/.f64 (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal -1/10800 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))))
x
x
x
x
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
1
#s(literal 1 binary64)
(+ 1 (* 1/12 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))
(fma.f64 (.f64 x 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 (* (pow x 2) (+ 1/360 (* 1/10800 (pow x 2)))))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 #s(literal 1/10800 binary64) (*.f64 x x) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) #s(literal 1 binary64))
(* 1/10800 (pow x 12))
(*.f64 #s(literal 1/10800 binary64) (pow.f64 x #s(literal 12 binary64)))
(* (pow x 12) (+ 1/10800 (* 1/12 (/ 1 (pow x 5)))))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 1/10800 binary64) (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 5 binary64)))))
(* (pow x 12) (+ 1/10800 (+ (/ 1/360 (pow x 9)) (* 1/12 (/ 1 (pow x 5))))))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 #s(literal 1/10800 binary64) (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 9 binary64)))))
(* (pow x 12) (+ 1/10800 (+ (/ 1/360 (pow x 9)) (+ (* 1/12 (/ 1 (pow x 5))) (/ 1 (pow x 12))))))
(fma.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 #s(literal 1/10800 binary64) (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))
(* 1/10800 (pow x 12))
(*.f64 #s(literal 1/10800 binary64) (pow.f64 x #s(literal 12 binary64)))
(* (pow x 12) (- 1/10800 (* 1/12 (/ 1 (pow x 5)))))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 1/10800 binary64) (/.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 5 binary64)))))
(* (pow x 12) (+ 1/10800 (* -1 (/ (+ 1/12 (* 1/360 (/ 1 (pow x 4)))) (pow x 5)))))
(.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 1/10800 binary64) (/.f64 (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal -1/360 binary64) (.f64 x (.f64 x (.f64 x x))))) (pow.f64 x #s(literal 5 binary64)))))
(* (pow x 12) (+ 1/10800 (* -1 (/ (- (+ 1/12 (* 1/360 (/ 1 (pow x 4)))) (/ 1 (pow x 7))) (pow x 5)))))
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(fma.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal -1/360 binary64) (.f64 x (.f64 x (*.f64 x x))))) #s(literal 1 binary64))
1/360
#s(literal 1/360 binary64)
(+ 1/360 (* 1/10800 (pow x 3)))
(fma.f64 x (.f64 #s(literal 1/10800 binary64) (.f64 x x)) #s(literal 1/360 binary64))
(+ 1/360 (* 1/10800 (pow x 3)))
(fma.f64 x (.f64 #s(literal 1/10800 binary64) (.f64 x x)) #s(literal 1/360 binary64))
(+ 1/360 (* 1/10800 (pow x 3)))
(fma.f64 x (.f64 #s(literal 1/10800 binary64) (.f64 x x)) #s(literal 1/360 binary64))
(* 1/10800 (pow x 4))
(.f64 x (.f64 x (.f64 #s(literal 1/10800 binary64) (.f64 x x))))
(* (pow x 4) (+ 1/10800 (* 1/360 (/ 1 (pow x 4)))))
(fma.f64 x (.f64 x (.f64 #s(literal 1/10800 binary64) (*.f64 x x))) #s(literal 1/360 binary64))
(* (pow x 4) (+ 1/10800 (* 1/360 (/ 1 (pow x 4)))))
(fma.f64 x (.f64 x (.f64 #s(literal 1/10800 binary64) (*.f64 x x))) #s(literal 1/360 binary64))
(* (pow x 4) (+ 1/10800 (* 1/360 (/ 1 (pow x 4)))))
(fma.f64 x (.f64 x (.f64 #s(literal 1/10800 binary64) (*.f64 x x))) #s(literal 1/360 binary64))
(* 1/10800 (pow x 4))
(.f64 x (.f64 x (.f64 #s(literal 1/10800 binary64) (.f64 x x))))
(* (pow x 4) (+ 1/10800 (* 1/360 (/ 1 (pow x 4)))))
(fma.f64 x (.f64 x (.f64 #s(literal 1/10800 binary64) (*.f64 x x))) #s(literal 1/360 binary64))
(* (pow x 4) (+ 1/10800 (* 1/360 (/ 1 (pow x 4)))))
(fma.f64 x (.f64 x (.f64 #s(literal 1/10800 binary64) (*.f64 x x))) #s(literal 1/360 binary64))
(* (pow x 4) (+ 1/10800 (* 1/360 (/ 1 (pow x 4)))))
(fma.f64 x (.f64 x (.f64 #s(literal 1/10800 binary64) (*.f64 x x))) #s(literal 1/360 binary64))
(* -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)
1/12
#s(literal 1/12 binary64)
(+ 1/12 (* -1 (pow x 3)))
(fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 1/12 binary64))
(+ 1/12 (* -1 (pow x 3)))
(fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 1/12 binary64))
(+ 1/12 (* -1 (pow x 3)))
(fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 1/12 binary64))
(* -1 (pow x 3))
(.f64 x (.f64 x (neg.f64 x)))
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 3))) 1))
(fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 1/12 binary64))
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 3))) 1))
(fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 1/12 binary64))
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 3))) 1))
(fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 1/12 binary64))
(pow x 3)
(.f64 x (.f64 x x))
(* (pow x 3) (+ 1 (* 1/12 (/ 1 (pow x 3)))))
(fma.f64 x (*.f64 x x) #s(literal 1/12 binary64))
(* (pow x 3) (+ 1 (* 1/12 (/ 1 (pow x 3)))))
(fma.f64 x (*.f64 x x) #s(literal 1/12 binary64))
(* (pow x 3) (+ 1 (* 1/12 (/ 1 (pow x 3)))))
(fma.f64 x (*.f64 x x) #s(literal 1/12 binary64))
1/12
#s(literal 1/12 binary64)
(+ 1/12 (* 1/360 (pow x 3)))
(fma.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x x)) #s(literal 1/12 binary64))
(+ 1/12 (* 1/360 (pow x 3)))
(fma.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x x)) #s(literal 1/12 binary64))
(+ 1/12 (* 1/360 (pow x 3)))
(fma.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x x)) #s(literal 1/12 binary64))
(* 1/360 (pow x 4))
(.f64 x (.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x x))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 4)))))
(fma.f64 (.f64 x x) (.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal 1/12 binary64))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 4)))))
(fma.f64 (.f64 x x) (.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal 1/12 binary64))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 4)))))
(fma.f64 (.f64 x x) (.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal 1/12 binary64))
(* 1/360 (pow x 4))
(.f64 x (.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x x))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 4)))))
(fma.f64 (.f64 x x) (.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal 1/12 binary64))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 4)))))
(fma.f64 (.f64 x x) (.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal 1/12 binary64))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 4)))))
(fma.f64 (.f64 x x) (.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal 1/12 binary64))

eval174.0ms (1.9%)

Memory: 1.6MiB live, 314.7MiB allocated
Compiler: Compiled 30 421 to 2 572 computations (91.5% saved)

prune105.0ms (1.1%)

Memory

-1.4MiB live, 318.4MiB allocated

Pruning

27 alts after pruning (18 fresh and 9 done)

	Pruned	Kept	Total
New	874	12	886
Fresh	6	6	12
Picked	2	3	5
Done	1	6	7
Total	883	27	910

Accuracy

100.0%

Counts

910 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.6%	(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
	49.6%	(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
	49.6%	(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
	49.6%	(/.f64 (.f64 #s(literal 4 binary64) (sinh.f64 x)) (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))
	38.2%	(/.f64 #s(literal 360 binary64) (.f64 x (.f64 x (*.f64 x x))))
	33.8%	(/.f64 #s(literal 360 binary64) (.f64 x (.f64 x x)))
	92.1%	(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)))
	93.2%	(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/360 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)))
	90.9%	(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (.f64 x x) (-.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)))
	90.9%	(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x (.f64 (.f64 x x) (-.f64 #s(literal 1/12 binary64) (*.f64 x x))) x) x #s(literal 2 binary64)))
	92.3%	(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 2 binary64)))
✓	92.2%	(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/10800 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
	92.6%	(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 #s(literal 1/10800 binary64) (*.f64 x x)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
	92.0%	(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x x) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
✓	91.1%	(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
✓	90.9%	(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (neg.f64 x) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
	92.0%	(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64)) #s(literal 2 binary64)))
	92.9%	(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x (neg.f64 x))))) #s(literal 2 binary64)))
	84.9%	(/.f64 #s(literal 2 binary64) (fma.f64 x (.f64 x (.f64 x x)) #s(literal 2 binary64)))
	80.5%	(/.f64 #s(literal 2 binary64) (fma.f64 x (*.f64 x x) #s(literal 2 binary64)))
✓	74.9%	(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
✓	100.0%	(/.f64 #s(literal 1 binary64) (cosh.f64 x))
✓	5.3%	(/.f64 #s(literal 1 binary64) x)
	49.6%	(.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (cosh.f64 (.f64 x #s(literal 3 binary64)))))
	52.0%	(.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (.f64 x x) (-.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (-.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal 1 binary64)))) #s(literal -4 binary64))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (-.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal 1 binary64)) #s(literal -2 binary64)))
✓	50.1%	#s(literal 1 binary64)
✓	10.8%	#s(literal 1/2 binary64)

Compiler

Compiled 1 080 to 405 computations (62.5% saved)

regimes36.0ms (0.4%)

Memory

-13.4MiB live, 80.4MiB allocated

Counts

43 → 1

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 2 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
(/.f64 #s(literal 360 binary64) (.f64 x (.f64 x x)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (*.f64 x x) #s(literal 2 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))
(/.f64 #s(literal 360 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 #s(literal 2 binary64) (fma.f64 x (.f64 x (.f64 x x)) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (fma.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 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/360 binary64))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (neg.f64 x) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x (.f64 (.f64 x x) (-.f64 #s(literal 1/12 binary64) (*.f64 x x))) x) x #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (.f64 x x) (-.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x x) #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 x (fma.f64 (.f64 x (.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 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/360 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 (.f64 x (*.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 (fma.f64 x (.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) x #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/10800 binary64) #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 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x (neg.f64 x))))) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (fma.f64 x x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 #s(literal 1/10800 binary64) (*.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 (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/360 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)) (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (.f64 x x) (-.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (-.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal 1 binary64)))) #s(literal -4 binary64))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (-.f64 #s(literal 1/12 binary64) (.f64 x x)) #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))))
(/.f64 (.f64 #s(literal 4 binary64) (sinh.f64 x)) (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))
(.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 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)) (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))))

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

Calls

3 calls:

13.0ms	x
13.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
9.0ms	(/.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)

regimes29.0ms (0.3%)

Memory

-10.9MiB live, 66.8MiB allocated

Counts

38 → 1

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 2 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
(/.f64 #s(literal 360 binary64) (.f64 x (.f64 x x)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (*.f64 x x) #s(literal 2 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))
(/.f64 #s(literal 360 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 #s(literal 2 binary64) (fma.f64 x (.f64 x (.f64 x x)) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (fma.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 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/360 binary64))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (neg.f64 x) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x (.f64 (.f64 x x) (-.f64 #s(literal 1/12 binary64) (*.f64 x x))) x) x #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (.f64 x x) (-.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x x) #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 x (fma.f64 (.f64 x (.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 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/360 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 (.f64 x (*.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 (fma.f64 x (.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) x #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/10800 binary64) #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 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x (neg.f64 x))))) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (fma.f64 x x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 #s(literal 1/10800 binary64) (*.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 (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/360 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)) (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (.f64 x x) (-.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (-.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal 1 binary64)))) #s(literal -4 binary64))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (-.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal 1 binary64)) #s(literal -2 binary64)))

Outputs

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

Calls

3 calls:

11.0ms	x
9.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
8.0ms	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Results

Accuracy	Segments	Branch
93.2%	1	`x`
93.2%	1	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
93.2%	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes27.0ms (0.3%)

Memory

22.0MiB live, 64.2MiB allocated

Counts

35 → 1

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 2 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
(/.f64 #s(literal 360 binary64) (.f64 x (.f64 x x)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (*.f64 x x) #s(literal 2 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))
(/.f64 #s(literal 360 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 #s(literal 2 binary64) (fma.f64 x (.f64 x (.f64 x x)) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (fma.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 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/360 binary64))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (neg.f64 x) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x (.f64 (.f64 x x) (-.f64 #s(literal 1/12 binary64) (*.f64 x x))) x) x #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (.f64 x x) (-.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x x) #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 x (fma.f64 (.f64 x (.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 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/360 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 (.f64 x (*.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 (fma.f64 x (.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) x #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/10800 binary64) #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 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x (neg.f64 x))))) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (fma.f64 x x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 #s(literal 1/10800 binary64) (*.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 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x (neg.f64 x))))) #s(literal 2 binary64)))

Calls

3 calls:

11.0ms	x
7.0ms	(/.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
92.9%	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
92.9%	1	`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)

regimes26.0ms (0.3%)

Memory

-14.9MiB live, 63.2MiB allocated

Counts

32 → 1

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 2 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
(/.f64 #s(literal 360 binary64) (.f64 x (.f64 x x)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (*.f64 x x) #s(literal 2 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))
(/.f64 #s(literal 360 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 #s(literal 2 binary64) (fma.f64 x (.f64 x (.f64 x x)) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (fma.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 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/360 binary64))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (neg.f64 x) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x (.f64 (.f64 x x) (-.f64 #s(literal 1/12 binary64) (*.f64 x x))) x) x #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (.f64 x x) (-.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x x) #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 x (fma.f64 (.f64 x (.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 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/360 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 (.f64 x (*.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 (fma.f64 x (.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) x #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/10800 binary64) #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 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 2 binary64)))

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

Calls

3 calls:

10.0ms	x
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
92.3%	1	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
92.3%	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
92.3%	1	`x`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes24.0ms (0.3%)

Memory

19.4MiB live, 57.6MiB allocated

Counts

31 → 1

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 2 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
(/.f64 #s(literal 360 binary64) (.f64 x (.f64 x x)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (*.f64 x x) #s(literal 2 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))
(/.f64 #s(literal 360 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 #s(literal 2 binary64) (fma.f64 x (.f64 x (.f64 x x)) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (fma.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 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/360 binary64))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (neg.f64 x) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x (.f64 (.f64 x x) (-.f64 #s(literal 1/12 binary64) (*.f64 x x))) x) x #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (.f64 x x) (-.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x x) #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 x (fma.f64 (.f64 x (.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 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/360 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 (.f64 x (*.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 (fma.f64 x (.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) x #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/10800 binary64) #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 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/10800 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))

Calls

3 calls:

9.0ms	x
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
92.2%	1	`x`
92.2%	1	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
92.2%	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes26.0ms (0.3%)

Memory

-21.5MiB live, 58.9MiB allocated

Counts

30 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

10.0ms	x
8.0ms	(+.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
92.1%	1	`x`
92.1%	1	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
92.1%	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes23.0ms (0.2%)

Memory

-8.7MiB live, 67.6MiB allocated

Counts

27 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
92.1%	1	`x`
92.1%	1	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
92.1%	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes22.0ms (0.2%)

Memory

12.3MiB live, 57.3MiB allocated

Counts

25 → 1

Calls

Call 1

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
92.1%	1	`x`
92.1%	1	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
92.1%	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes20.0ms (0.2%)

Memory

14.6MiB live, 53.6MiB allocated

Counts

24 → 1

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	x
6.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
5.0ms	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Results

Accuracy	Segments	Branch
92.0%	1	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
92.0%	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
92.0%	1	`x`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes71.0ms (0.8%)

Memory

-2.2MiB live, 36.9MiB allocated

Counts

23 → 1

Calls

Call 1

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

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

Calls

3 calls:

57.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
7.0ms	x
5.0ms	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Results

Accuracy	Segments	Branch
92.0%	1	`x`
92.0%	1	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
92.0%	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes41.0ms (0.4%)

Memory

-2.8MiB live, 36.4MiB allocated

Counts

21 → 1

Calls

Call 1

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

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

Calls

3 calls:

29.0ms	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
6.0ms	x
5.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes18.0ms (0.2%)

Memory

-13.5MiB live, 32.3MiB allocated

Counts

18 → 1

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
6.0ms	x
4.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes14.0ms (0.2%)

Memory

-12.0MiB live, 27.3MiB allocated

Counts

14 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
84.9%	1	`x`
84.9%	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
84.9%	1	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes11.0ms (0.1%)

Memory

28.0MiB live, 28.0MiB allocated

Counts

11 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes11.0ms (0.1%)

Memory

-13.4MiB live, 25.6MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
80.5%	1	`x`
80.5%	1	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
80.5%	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes10.0ms (0.1%)

Memory

-13.4MiB live, 25.4MiB allocated

Counts

8 → 2

Calls

Call 1

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

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

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
80.6%	2	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
80.6%	2	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
80.6%	2	`x`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes8.0ms (0.1%)

Memory

21.1MiB live, 21.1MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes9.0ms (0.1%)

Memory

-22.0MiB live, 19.0MiB allocated

Counts

6 → 1

Calls

Call 1

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

Outputs
#s(literal 1 binary64)

Calls

3 calls:

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

Results

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes4.0ms (0%)

Memory

11.9MiB live, 11.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1/2 binary64)

Outputs
#s(literal 1/2 binary64)

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
10.8%	1	`x`
10.8%	1	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
10.8%	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.0058292923985173	94.80503683046639

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.46685629796603e+50	+inf

Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify14.0ms (0.2%)

Memory

-7.6MiB live, 29.5MiB allocated

Algorithm

1×	egg-herbie

Rules

38×	`*-commutative_binary64`
12×	`+-commutative_binary64`
10×	`sub-neg_binary64`
10×	`neg-sub0_binary64`
10×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	302
1	110	302
2	115	302
3	123	302
4	132	302
5	137	302
6	140	302
7	141	302

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/360 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x (neg.f64 x))))) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/10800 binary64) #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 x (fma.f64 x (.f64 (.f64 x (*.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 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x (.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 x (fma.f64 x (*.f64 x x) #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 x (.f64 x (.f64 x x))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (neg.f64 x) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (.f64 x (.f64 x x)) #s(literal 2 binary64)))
(if (<=.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 4 binary64)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 360 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(/.f64 #s(literal 2 binary64) (fma.f64 x (*.f64 x x) #s(literal 2 binary64)))
(if (<=.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 200000000000000015259539682183774006589929941893120 binary64)) (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) (/.f64 #s(literal 360 binary64) (.f64 x (.f64 x x))))
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
#s(literal 1 binary64)
#s(literal 1/2 binary64)

Outputs
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/360 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x (neg.f64 x))))) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (.f64 x x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/10800 binary64) #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 x (fma.f64 x (.f64 (.f64 x (*.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 x (fma.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x (*.f64 x x))) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x (.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 x (fma.f64 x (*.f64 x x) #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 x (.f64 x (.f64 x x))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (neg.f64 x) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (.f64 x (.f64 x x)) #s(literal 2 binary64)))
(if (<=.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 4 binary64)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 360 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(/.f64 #s(literal 2 binary64) (fma.f64 x (*.f64 x x) #s(literal 2 binary64)))
(if (<=.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 200000000000000015259539682183774006589929941893120 binary64)) (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) (/.f64 #s(literal 360 binary64) (.f64 x (.f64 x x))))
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
#s(literal 1 binary64)
#s(literal 1/2 binary64)

soundness2.4s (25.5%)

Memory

33.8MiB live, 1 506.9MiB allocated

Rules

16 276×	`lower-fma.f64`
16 276×	`lower-fma.f32`
13 094×	`lower-fma.f64`
13 094×	`lower-fma.f32`
12 402×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	258
0	75	240
1	350	203
2	2738	203
0	9074	188
0	7	21
0	12	17
1	42	15
2	257	15
3	2370	15
0	9064	15
0	416	2016
1	1152	2010
2	3032	1905
3	7490	1903
0	8107	1789
0	26	111
0	49	107
1	202	103
0	1388	101
0	292	1746
1	799	1731
2	1913	1611
3	4586	1597
0	8387	1509
0	256	1534
1	694	1490
2	1612	1436
3	3918	1429
4	7467	1429
0	8071	1326
0	67	307
1	163	306
2	359	302
3	911	302
4	1390	302
5	2055	302
6	3334	302
7	4548	302
8	5411	302
9	6585	302
10	7388	302
11	7678	302
12	7896	302
0	8009	280

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

Compiler

Compiled 1 045 to 535 computations (48.8% saved)

preprocess137.0ms (1.5%)

Memory: 2.2MiB live, 323.3MiB allocated
Remove: (abs x)
Compiler: Compiled 654 to 214 computations (67.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

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

analyze0.0ms (0%)

sample616.0ms (6.6%)

preprocess21.0ms (0.2%)

explain97.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.1%)

localize34.0ms (0.4%)

series3.0ms (0%)

rewrite278.0ms (3%)

simplify427.0ms (4.5%)

eval51.0ms (0.5%)

prune60.0ms (0.6%)

simplify232.0ms (2.5%)

localize220.0ms (2.3%)

series29.0ms (0.3%)

rewrite102.0ms (1.1%)

simplify379.0ms (4%)

eval43.0ms (0.5%)

prune53.0ms (0.6%)

simplify225.0ms (2.4%)

localize192.0ms (2%)

series31.0ms (0.3%)

rewrite418.0ms (4.5%)

simplify470.0ms (5%)

eval196.0ms (2.1%)

prune194.0ms (2.1%)

simplify648.0ms (6.9%)

localize194.0ms (2.1%)

series24.0ms (0.3%)

rewrite433.0ms (4.6%)

simplify458.0ms (4.9%)

eval174.0ms (1.9%)

prune105.0ms (1.1%)

regimes36.0ms (0.4%)

regimes29.0ms (0.3%)

regimes27.0ms (0.3%)

regimes26.0ms (0.3%)

regimes24.0ms (0.3%)

regimes26.0ms (0.3%)

regimes23.0ms (0.2%)

regimes22.0ms (0.2%)

regimes20.0ms (0.2%)

regimes71.0ms (0.8%)

regimes41.0ms (0.4%)

regimes18.0ms (0.2%)

regimes14.0ms (0.2%)

regimes11.0ms (0.1%)

regimes11.0ms (0.1%)

regimes10.0ms (0.1%)

regimes8.0ms (0.1%)

regimes9.0ms (0.1%)

regimes4.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify14.0ms (0.2%)

soundness2.4s (25.5%)

preprocess137.0ms (1.5%)

end0.0ms (0%)

Profiling

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