Metrics for Hyperbolic secant

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB 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)

sample661.0ms (7%)

Memory

31.9MiB live, 971.5MiB allocated

Samples

443.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 302.0ms

ival-exp: 153.0ms (50.7% of total)

ival-div: 54.0ms (17.9% of total)

ival-add: 46.0ms (15.3% of total)

ival-neg: 36.0ms (11.9% of total)

ival-true: 6.0ms (2% of total)

exact: 4.0ms (1.3% of total)

ival-assert: 3.0ms (1% of total)

Bogosity

preprocess35.0ms (0.4%)

Memory

-11.6MiB live, 25.4MiB 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)

explain81.0ms (0.9%)

Memory

-16.6MiB live, 107.9MiB allocated

FPErrors

Click to see full error table

Overpredictions	Example	Example	Subexpression
0	-	-	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
0	-	-	`(exp.f64 x)`
2	(126.39057611950126)	-	`(exp.f64 (neg.f64 x))`
0	-	-	`(neg.f64 x)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`exp.f64`	`(exp.f64 (neg.f64 x))`	sensitivity	2	1

Confusion

	Predicted +	Predicted -
+	0	0
-	2	254

Precision

0.0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	2	1	253

Precision?

0.0

Recall?

0/0

Freqs

test

number	freq
0	254
1	2

Total Confusion?

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

Precision?

0.0

Recall?

0/0

Samples

28.0ms

512×

valid

Compiler

Compiled 68 to 32 computations (52.9% saved)

Precisions

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

ival-exp: 7.0ms (44.3% of total)

ival-div: 3.0ms (19% of total)

ival-add: 2.0ms (12.7% of total)

ival-neg: 2.0ms (12.7% 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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

0.8MiB live, 0.8MiB 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

6.4MiB live, 6.4MiB 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)

localize46.0ms (0.5%)

Memory

-3.3MiB live, 33.6MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

14.0ms

256×

valid

Compiler

Compiled 25 to 9 computations (64% saved)

Precisions

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

ival-exp: 4.0ms (48.7% of total)

ival-div: 2.0ms (24.4% of total)

ival-add: 2.0ms (24.4% of total)

ival-neg: 1.0ms (12.2% 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

1.9MiB live, 1.9MiB allocated

Counts

4 → 48

Calls

Call 1

Inputs
#<alt (/.f64 #s(literal 2 binary64) (+.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>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))>
#<alt (/ 2 (+ (exp x) (exp (neg x))))>
#<alt (/ 2 (+ (exp x) (exp (neg x))))>
#<alt (/ 2 (+ (exp x) (exp (neg x))))>
#<alt (/ 2 (+ (exp x) (exp (neg x))))>
#<alt (/ 2 (+ (exp x) (exp (* -1 x))))>
#<alt (/ 2 (+ (exp x) (exp (* -1 x))))>
#<alt (/ 2 (+ (exp x) (exp (* -1 x))))>
#<alt (/ 2 (+ (exp x) (exp (* -1 x))))>
#<alt 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

12 calls:

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

rewrite314.0ms (3.3%)

Memory

24.1MiB live, 382.2MiB 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	15
0	12	13
1	42	11
2	257	11
3	2370	11
0	9064	11

Stop Event

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

Counts

4 → 179

Calls

Call 1

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

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

simplify493.0ms (5.2%)

Memory

-31.7MiB live, 360.7MiB allocated

Algorithm

1×	egg-herbie

Rules

9 552×	`lower-fma.f64`
9 552×	`lower-fma.f32`
2 388×	`lower-*.f64`
2 388×	`lower-*.f32`
2 232×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	221
1	123	220
2	244	220
3	577	220
4	988	220
5	1422	220
6	2158	220
7	3069	220
8	3907	220
9	4740	220
10	5330	220
11	5766	220
12	5776	220
13	5776	220
14	5946	220
15	5949	220
16	5949	220
17	6920	220
18	7372	220
19	7372	220
20	7372	220
21	7372	220
22	7379	220
0	7379	204

Stop Event

1×	iter limit
1×	saturated

Counts

48 → 48

Calls

Call 1

Inputs
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)

Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(exp (neg x))
(exp.f64 (neg.f64 x))
(exp (neg x))
(exp.f64 (neg.f64 x))
(exp (neg x))
(exp.f64 (neg.f64 x))
(exp (neg x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)

simplify24.0ms (0.3%)

Memory

4.7MiB live, 44.2MiB allocated

Algorithm

1×	egg-herbie

Rules

2× 1-exp

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	401	2245
1	402	2245
0	402	2245

Stop Event

1×	saturated
1×	saturated

Counts

179 → 0

Calls

Call 1

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

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

eval10.0ms (0.1%)

Memory: -17.9MiB live, 20.8MiB allocated
Compiler: Compiled 817 to 53 computations (93.5% saved)

prune7.0ms (0.1%)

Memory

14.0MiB live, 14.0MiB allocated

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	89	7	96
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	89	8	97

Accuracy

100.0%

Counts

97 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.9%	(fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
▶	50.1%	(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
▶	50.0%	(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
	66.7%	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 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))))
▶	99.4%	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
✓	100.0%	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
	98.5%	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
▶	50.4%	#s(literal 1 binary64)

Compiler

Compiled 157 to 113 computations (28% saved)

simplify357.0ms (3.8%)

Memory

-5.2MiB live, 231.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Rules

6 600×	`lower-fma.f32`
6 584×	`lower-fma.f64`
1 848×	`lower-*.f32`
1 840×	`lower-*.f64`
952×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	139
0	46	139
1	100	139
2	230	139
3	410	139
4	572	139
5	688	139
6	865	139
7	1338	139
8	2040	139
9	3542	139
10	4223	139
11	4301	139
12	4312	139
13	4320	139
14	4368	139
15	4369	139
16	4369	139
17	4427	139
18	4451	139
19	4451	139
20	4455	139
0	4455	139

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize218.0ms (2.3%)

Memory

13.4MiB live, 170.8MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
✓	accuracy	100.0%	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) #s(literal -1/2 binary64))
✓	accuracy	99.9%	(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) #s(literal -1/2 binary64)))
✓	accuracy	99.9%	(fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64))
✓	accuracy	100.0%	(.f64 x (fma.f64 x (.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64)))
✓	accuracy	100.0%	(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
✓	accuracy	99.9%	(fma.f64 x (*.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64))
✓	accuracy	99.7%	(*.f64 x #s(literal 5/24 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
✓	accuracy	100.0%	(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))
✓	accuracy	100.0%	(+.f64 (exp.f64 x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))

Samples

140.0ms	224×	0	valid
38.0ms	32×	5	exit

Compiler

Compiled 161 to 33 computations (79.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 156.0ms

ival-mult: 114.0ms (73% of total)

const: 14.0ms (9% of total)

ival-add: 13.0ms (8.3% of total)

adjust: 9.0ms (5.8% of total)

ival-exp: 3.0ms (1.9% of total)

ival-div: 2.0ms (1.3% of total)

exact: 1.0ms (0.6% of total)

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

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

series25.0ms (0.3%)

Memory

-19.1MiB live, 17.2MiB allocated

Counts

14 → 168

Calls

Call 1

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

Outputs
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -1/12 x) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* x (- (* 11/48 x) 1/12)) 1/2)))>
#<alt (/ 4 (pow x 2))>
#<alt (/ (+ 4 (* 8 (/ 1 x))) (pow x 2))>
#<alt (/ (- (+ 4 (+ (* 8 (/ 1 x)) (/ 16 (pow x 2)))) (* 8 (/ (+ 1 (exp x)) (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 4 (+ (* -1 (/ (+ (* -2 (- 16 (* 8 (+ 1 (exp x))))) (* 16 (+ 1 (exp x)))) (pow x 3))) (+ (* 8 (/ 1 x)) (/ 16 (pow x 2))))) (* 8 (/ (+ 1 (exp x)) (pow x 2)))) (pow x 2))>
#<alt (/ 4 (pow x 2))>
#<alt (/ (+ 4 (* 8 (/ 1 x))) (pow x 2))>
#<alt (/ (+ 4 (* -1 (/ (- (* -1 (/ (- 16 (* 8 (+ 1 (exp x)))) x)) 8) x))) (pow x 2))>
#<alt (/ (+ 4 (* -1 (/ (- (* -1 (/ (- (+ 16 (+ (* -16 (/ (+ 1 (exp x)) x)) (* 2 (/ (- 16 (* 8 (+ 1 (exp x)))) x)))) (* 8 (+ 1 (exp x)))) x)) 8) x))) (pow x 2))>
#<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 2>
#<alt (+ 2 (pow x 2))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* 1/6 x))))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* x (+ 1/6 (* 1/24 x))))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (- (+ 1/2 (+ (/ 1 (pow x 2)) (/ (exp x) (pow x 2)))) (/ 1 x)))>
#<alt (* (pow x 2) (- (+ 1/2 (+ (/ 1 (pow x 2)) (/ (exp x) (pow x 2)))) (/ 1 x)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1/2 (* -1 (/ (+ 1 (* -1 (/ (+ 1 (exp x)) x))) x))))>
#<alt (* (pow x 2) (+ 1/2 (* -1 (/ (+ 1 (* -1 (/ (+ 1 (exp x)) x))) x))))>
#<alt -1>
#<alt (- (* 1/2 x) 1)>
#<alt (- (* 1/2 x) 1)>
#<alt (- (* 1/2 x) 1)>
#<alt (* 1/2 x)>
#<alt (* x (- 1/2 (/ 1 x)))>
#<alt (* x (- 1/2 (/ 1 x)))>
#<alt (* x (- 1/2 (/ 1 x)))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (/ 1 x) 1/2)))>
#<alt (* -1 (* x (- (/ 1 x) 1/2)))>
#<alt (* -1 (* x (- (/ 1 x) 1/2)))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 5/24 x)>
#<alt (* 5/24 x)>
#<alt (* 5/24 x)>
#<alt (* 5/24 x)>
#<alt (* 5/24 x)>
#<alt (* 5/24 x)>
#<alt (* 5/24 x)>
#<alt (* 5/24 x)>
#<alt (* 5/24 x)>
#<alt (* 5/24 x)>
#<alt (* 5/24 x)>
#<alt (* 5/24 x)>
#<alt -1/2>
#<alt (- (* 5/24 (pow x 2)) 1/2)>
#<alt (- (* 5/24 (pow x 2)) 1/2)>
#<alt (- (* 5/24 (pow x 2)) 1/2)>
#<alt (* 5/24 (pow x 2))>
#<alt (* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 5/24 (pow x 2))>
#<alt (* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))>
#<alt (* 5/24 (pow x 4))>
#<alt (* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 5/24 (pow x 4))>
#<alt (* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* -1/2 x)>
#<alt (* x (- (* 5/24 (pow x 2)) 1/2))>
#<alt (* x (- (* 5/24 (pow x 2)) 1/2))>
#<alt (* x (- (* 5/24 (pow x 2)) 1/2))>
#<alt (* 5/24 (pow x 3))>
#<alt (* (pow x 3) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 5/24 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 5/24)))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 5/24)))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 5/24)))>
#<alt 5/24>
#<alt (+ 5/24 (* -61/720 (pow x 2)))>
#<alt (+ 5/24 (* -61/720 (pow x 2)))>
#<alt (+ 5/24 (* -61/720 (pow x 2)))>
#<alt (* -61/720 (pow x 2))>
#<alt (* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720))>
#<alt (* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720))>
#<alt (* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720))>
#<alt (* -61/720 (pow x 2))>
#<alt (* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720))>
#<alt (* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720))>
#<alt (* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720))>
#<alt (* -1/2 x)>
#<alt (* x (- (* 5/24 (pow x 2)) 1/2))>
#<alt (* x (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2))>
#<alt (* x (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2))>
#<alt (* -61/720 (pow x 5))>
#<alt (* (pow x 5) (- (* 5/24 (/ 1 (pow x 2))) 61/720))>
#<alt (* (pow x 5) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))>
#<alt (* (pow x 5) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))>
#<alt (* -61/720 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- 61/720 (* 5/24 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 5) (- (+ 61/720 (/ 1/2 (pow x 4))) (* 5/24 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 5) (- (+ 61/720 (/ 1/2 (pow x 4))) (* 5/24 (/ 1 (pow x 2))))))>
#<alt -1/2>
#<alt (- (* 5/24 (pow x 2)) 1/2)>
#<alt (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)>
#<alt (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)>
#<alt (* -61/720 (pow x 4))>
#<alt (* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 61/720))>
#<alt (* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))>
#<alt (* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))>
#<alt (* -61/720 (pow x 4))>
#<alt (* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 61/720))>
#<alt (* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))>
#<alt (* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))>
#<alt (* -61/720 (pow x 6))>
#<alt (* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) 61/720))>
#<alt (* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 5/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 61/720 (/ 1/2 (pow x 4)))))>
#<alt (* -61/720 (pow x 6))>
#<alt (* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) 61/720))>
#<alt (* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 5/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 61/720 (/ 1/2 (pow x 4)))))>

Calls

42 calls:

Time	Variable		Point	Expression
15.0ms	x	@	0	(* x 5/24)
1.0ms	x	@	0	(* x (+ (* (* x x) (+ (* (* x x) -61/720) 5/24)) -1/2))
1.0ms	x	@	-inf	(/ 2 (+ (exp x) (+ (* x (+ (* x 1/2) -1)) 1)))
1.0ms	x	@	inf	(/ 2 (+ (exp x) (+ (* x (+ (* x 1/2) -1)) 1)))
0.0ms	x	@	inf	(+ (* x (* x (+ (* x (* x 5/24)) -1/2))) 1)

rewrite393.0ms (4.1%)

Memory

12.7MiB live, 608.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 734×	`lower-fma.f32`
5 718×	`lower-fma.f64`
4 070×	`lower-/.f32`
4 068×	`lower-/.f64`
3 598×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	111
0	46	111
1	214	111
2	1713	111
0	8316	111

Stop Event

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

Counts

14 → 478

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 (exp.f64 x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -2 binary64) (+.f64 (exp.f64 x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(neg.f64 (/.f64 #s(literal -2 binary64) (+.f64 (exp.f64 x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (+.f64 (exp.f64 x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (+.f64 (exp.f64 x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))))
(/.f64 #s(literal -2 binary64) (+.f64 (neg.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (exp.f64 x))) #s(literal -1 binary64)))
(pow.f64 (*.f64 (+.f64 (exp.f64 x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 (exp.f64 x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (+.f64 (exp.f64 x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (exp.f64 x)) (exp.f64 (+.f64 x x))))
(.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (+.f64 x x)) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))) (-.f64 (expm1.f64 x) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))
(exp.f64 x)
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(+.f64 (exp.f64 x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (exp.f64 x)))
(+.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (exp.f64 x))
(+.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(+.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (exp.f64 x)) #s(literal 1 binary64))
(+.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 (expm1.f64 x) (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))) (neg.f64 (/.f64 (.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (-.f64 (expm1.f64 x) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))))
(+.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (+.f64 (neg.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (exp.f64 x))) #s(literal -1 binary64)))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 (expm1.f64 x) (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))) (/.f64 (.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (-.f64 (expm1.f64 x) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))))
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 (expm1.f64 x) (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (-.f64 (expm1.f64 x) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (-.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (exp.f64 x))) (/.f64 (exp.f64 (+.f64 x x)) (-.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (exp.f64 x))))
(-.f64 (/.f64 (pow.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (exp.f64 x)) #s(literal 2 binary64)) (+.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (exp.f64 x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (exp.f64 x)) #s(literal -1 binary64))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) x (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (exp.f64 x))
(fma.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64) (exp.f64 x))
(fma.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(fma.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (.f64 x (.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))) (exp.f64 x))
(fma.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (.f64 x (.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))) (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))) (exp.f64 x))
(fma.f64 (exp.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (expm1.f64 x) (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))) (neg.f64 (/.f64 (.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (-.f64 (expm1.f64 x) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))))
(fma.f64 (fma.f64 x (.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))) (exp.f64 x))
(fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (exp.f64 x)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (neg.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (.f64 x (.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))) (exp.f64 x))
(fma.f64 (neg.f64 (fma.f64 x (.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))) (exp.f64 x))
(fma.f64 (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (.f64 (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (.f64 x (.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 (.f64 x (.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))) (.f64 (exp.f64 x) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))))) #s(literal 1 binary64))
(fma.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (.f64 x (.f64 x x)) (neg.f64 (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 #s(literal 1/2 binary64) (.f64 x x)) (-.f64 (.f64 x x) (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x x)) (neg.f64 x))))) (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(fma.f64 (-.f64 (exp.f64 (+.f64 x x)) (.f64 x (.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))) #s(literal 1 binary64))
(fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (neg.f64 x))) (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))) (exp.f64 x))
(fma.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(neg.f64 (+.f64 (neg.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (exp.f64 x))) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 (exp.f64 (+.f64 x x)) (.f64 (exp.f64 x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (exp.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (exp.f64 x)))) (+.f64 (pow.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (exp.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (exp.f64 x)) (-.f64 (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (exp.f64 (+.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (exp.f64 x)) #s(literal -1 binary64)) (+.f64 (pow.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (exp.f64 x)) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (+.f64 (exp.f64 x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
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(.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)))) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)))) #s(literal -1 binary64)) (/.f64 #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 (neg.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)))) (.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)))) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64))))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)))) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64))))))))
(.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)))) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (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 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)))) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)))))))

simplify417.0ms (4.4%)

Memory

7.4MiB live, 450.1MiB allocated

Algorithm

1×	egg-herbie

Rules

11 944×	`lower-fma.f64`
11 944×	`lower-fma.f32`
4 132×	`lower-+.f64`
4 132×	`lower-+.f32`
3 298×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	180	1391
1	478	1379
2	1297	1346
3	4088	1302
0	8103	1203

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

Inputs
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/12 x) 1/2)))
(+ 1 (* (pow x 2) (- (* x (- (* 11/48 x) 1/12)) 1/2)))
(/ 4 (pow x 2))
(/ (+ 4 (* 8 (/ 1 x))) (pow x 2))
(/ (- (+ 4 (+ (* 8 (/ 1 x)) (/ 16 (pow x 2)))) (* 8 (/ (+ 1 (exp x)) (pow x 2)))) (pow x 2))
(/ (- (+ 4 (+ (* -1 (/ (+ (* -2 (- 16 (* 8 (+ 1 (exp x))))) (* 16 (+ 1 (exp x)))) (pow x 3))) (+ (* 8 (/ 1 x)) (/ 16 (pow x 2))))) (* 8 (/ (+ 1 (exp x)) (pow x 2)))) (pow x 2))
(/ 4 (pow x 2))
(/ (+ 4 (* 8 (/ 1 x))) (pow x 2))
(/ (+ 4 (* -1 (/ (- (* -1 (/ (- 16 (* 8 (+ 1 (exp x)))) x)) 8) x))) (pow x 2))
(/ (+ 4 (* -1 (/ (- (* -1 (/ (- (+ 16 (+ (* -16 (/ (+ 1 (exp x)) x)) (* 2 (/ (- 16 (* 8 (+ 1 (exp x)))) x)))) (* 8 (+ 1 (exp x)))) x)) 8) x))) (pow x 2))
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)
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/6 x))))
(+ 2 (* (pow x 2) (+ 1 (* x (+ 1/6 (* 1/24 x))))))
(* 1/2 (pow x 2))
(* (pow x 2) (- 1/2 (/ 1 x)))
(* (pow x 2) (- (+ 1/2 (+ (/ 1 (pow x 2)) (/ (exp x) (pow x 2)))) (/ 1 x)))
(* (pow x 2) (- (+ 1/2 (+ (/ 1 (pow x 2)) (/ (exp x) (pow x 2)))) (/ 1 x)))
(* 1/2 (pow x 2))
(* (pow x 2) (- 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (* -1 (/ (+ 1 (* -1 (/ (+ 1 (exp x)) x))) x))))
(* (pow x 2) (+ 1/2 (* -1 (/ (+ 1 (* -1 (/ (+ 1 (exp x)) x))) x))))
-1
(- (* 1/2 x) 1)
(- (* 1/2 x) 1)
(- (* 1/2 x) 1)
(* 1/2 x)
(* x (- 1/2 (/ 1 x)))
(* x (- 1/2 (/ 1 x)))
(* x (- 1/2 (/ 1 x)))
(* 1/2 x)
(* -1 (* x (- (/ 1 x) 1/2)))
(* -1 (* x (- (/ 1 x) 1/2)))
(* -1 (* x (- (/ 1 x) 1/2)))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* -1/2 (pow x 2)))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 5/24 x)
(* 5/24 x)
(* 5/24 x)
(* 5/24 x)
(* 5/24 x)
(* 5/24 x)
(* 5/24 x)
(* 5/24 x)
(* 5/24 x)
(* 5/24 x)
(* 5/24 x)
(* 5/24 x)
-1/2
(- (* 5/24 (pow x 2)) 1/2)
(- (* 5/24 (pow x 2)) 1/2)
(- (* 5/24 (pow x 2)) 1/2)
(* 5/24 (pow x 2))
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(* 5/24 (pow x 2))
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(* 5/24 (pow x 4))
(* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* 5/24 (pow x 4))
(* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* -1/2 x)
(* x (- (* 5/24 (pow x 2)) 1/2))
(* x (- (* 5/24 (pow x 2)) 1/2))
(* x (- (* 5/24 (pow x 2)) 1/2))
(* 5/24 (pow x 3))
(* (pow x 3) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(* 5/24 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 5/24)))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 5/24)))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 5/24)))
5/24
(+ 5/24 (* -61/720 (pow x 2)))
(+ 5/24 (* -61/720 (pow x 2)))
(+ 5/24 (* -61/720 (pow x 2)))
(* -61/720 (pow x 2))
(* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(* -61/720 (pow x 2))
(* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(* -1/2 x)
(* x (- (* 5/24 (pow x 2)) 1/2))
(* x (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2))
(* x (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2))
(* -61/720 (pow x 5))
(* (pow x 5) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(* (pow x 5) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))
(* (pow x 5) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))
(* -61/720 (pow x 5))
(* -1 (* (pow x 5) (- 61/720 (* 5/24 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 61/720 (/ 1/2 (pow x 4))) (* 5/24 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 61/720 (/ 1/2 (pow x 4))) (* 5/24 (/ 1 (pow x 2))))))
-1/2
(- (* 5/24 (pow x 2)) 1/2)
(- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)
(- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)
(* -61/720 (pow x 4))
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))
(* -61/720 (pow x 4))
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(* -61/720 (pow x 6))
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))
(* (pow x 6) (- (+ (* 5/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 61/720 (/ 1/2 (pow x 4)))))
(* -61/720 (pow x 6))
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))
(* (pow x 6) (- (+ (* 5/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 61/720 (/ 1/2 (pow x 4)))))

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) (- (* -1/12 x) 1/2)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal -1/12 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* x (- (* 11/48 x) 1/12)) 1/2)))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal 11/48 binary64) #s(literal -1/12 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/ 4 (pow x 2))
(/.f64 #s(literal 4 binary64) (*.f64 x x))
(/ (+ 4 (* 8 (/ 1 x))) (pow x 2))
(/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) x)) (*.f64 x x))
(/ (- (+ 4 (+ (* 8 (/ 1 x)) (/ 16 (pow x 2)))) (* 8 (/ (+ 1 (exp x)) (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (fma.f64 (exp.f64 x) #s(literal -8 binary64) #s(literal 8 binary64)) x)) x)) (*.f64 x x))
(/ (- (+ 4 (+ (* -1 (/ (+ (* -2 (- 16 (* 8 (+ 1 (exp x))))) (* 16 (+ 1 (exp x)))) (pow x 3))) (+ (* 8 (/ 1 x)) (/ 16 (pow x 2))))) (* 8 (/ (+ 1 (exp x)) (pow x 2)))) (pow x 2))
(/.f64 (+.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 32 binary64) #s(literal -32 binary64)) (.f64 x (.f64 x x)))) (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (fma.f64 (exp.f64 x) #s(literal -8 binary64) #s(literal 8 binary64)) x)) x)) (*.f64 x x))
(/ 4 (pow x 2))
(/.f64 #s(literal 4 binary64) (*.f64 x x))
(/ (+ 4 (* 8 (/ 1 x))) (pow x 2))
(/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) x)) (*.f64 x x))
(/ (+ 4 (* -1 (/ (- (* -1 (/ (- 16 (* 8 (+ 1 (exp x)))) x)) 8) x))) (pow x 2))
(/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (fma.f64 (exp.f64 x) #s(literal -8 binary64) #s(literal 8 binary64)) x)) x)) (*.f64 x x))
(/ (+ 4 (* -1 (/ (- (* -1 (/ (- (+ 16 (+ (* -16 (/ (+ 1 (exp x)) x)) (* 2 (/ (- 16 (* 8 (+ 1 (exp x)))) x)))) (* 8 (+ 1 (exp x)))) x)) 8) x))) (pow x 2))
(/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (+.f64 #s(literal 16 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -16 binary64) x)) (/.f64 (fma.f64 (exp.f64 x) #s(literal -16 binary64) #s(literal 16 binary64)) x))) x)) x)) (*.f64 x x))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
2
#s(literal 2 binary64)
(+ 2 (pow x 2))
(fma.f64 x x #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1 (* 1/6 x))))
(fma.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1 (* x (+ 1/6 (* 1/24 x))))))
(fma.f64 x (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x) #s(literal 2 binary64))
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (- 1/2 (/ 1 x)))
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
(* (pow x 2) (- (+ 1/2 (+ (/ 1 (pow x 2)) (/ (exp x) (pow x 2)))) (/ 1 x)))
(-.f64 (fma.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 x) (.f64 x x))) #s(literal 1 binary64)) x)
(* (pow x 2) (- (+ 1/2 (+ (/ 1 (pow x 2)) (/ (exp x) (pow x 2)))) (/ 1 x)))
(-.f64 (fma.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 x) (.f64 x x))) #s(literal 1 binary64)) x)
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (- 1/2 (/ 1 x)))
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
(* (pow x 2) (+ 1/2 (* -1 (/ (+ 1 (* -1 (/ (+ 1 (exp x)) x))) x))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 x)) x)) x)))
(* (pow x 2) (+ 1/2 (* -1 (/ (+ 1 (* -1 (/ (+ 1 (exp x)) x))) x))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 x)) x)) x)))
-1
#s(literal -1 binary64)
(- (* 1/2 x) 1)
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))
(- (* 1/2 x) 1)
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))
(- (* 1/2 x) 1)
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (- 1/2 (/ 1 x)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))
(* x (- 1/2 (/ 1 x)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))
(* x (- 1/2 (/ 1 x)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* -1 (* x (- (/ 1 x) 1/2)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 1/2)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 1/2)))
(fma.f64 x #s(literal 1/2 binary64) #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 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(* -1/2 (pow x 2))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(* -1/2 (pow x 2))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 5/24 x)
(*.f64 x #s(literal 5/24 binary64))
(* 5/24 x)
(*.f64 x #s(literal 5/24 binary64))
(* 5/24 x)
(*.f64 x #s(literal 5/24 binary64))
(* 5/24 x)
(*.f64 x #s(literal 5/24 binary64))
(* 5/24 x)
(*.f64 x #s(literal 5/24 binary64))
(* 5/24 x)
(*.f64 x #s(literal 5/24 binary64))
(* 5/24 x)
(*.f64 x #s(literal 5/24 binary64))
(* 5/24 x)
(*.f64 x #s(literal 5/24 binary64))
(* 5/24 x)
(*.f64 x #s(literal 5/24 binary64))
(* 5/24 x)
(*.f64 x #s(literal 5/24 binary64))
(* 5/24 x)
(*.f64 x #s(literal 5/24 binary64))
(* 5/24 x)
(*.f64 x #s(literal 5/24 binary64))
-1/2
#s(literal -1/2 binary64)
(- (* 5/24 (pow x 2)) 1/2)
(fma.f64 x (*.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64))
(- (* 5/24 (pow x 2)) 1/2)
(fma.f64 x (*.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64))
(- (* 5/24 (pow x 2)) 1/2)
(fma.f64 x (*.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64))
(* 5/24 (pow x 2))
(.f64 (.f64 x x) #s(literal 5/24 binary64))
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64))
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64))
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64))
(* 5/24 (pow x 2))
(.f64 (.f64 x x) #s(literal 5/24 binary64))
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64))
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64))
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(* 5/24 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 5/24 binary64))))
(* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 5/24 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (+.f64 #s(literal 5/24 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64))
(* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (+.f64 #s(literal 5/24 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64))
(* 5/24 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 5/24 binary64))))
(* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 5/24 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (+.f64 #s(literal 5/24 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64))
(* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (+.f64 #s(literal 5/24 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64))
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(* x (- (* 5/24 (pow x 2)) 1/2))
(.f64 x (fma.f64 x (.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64)))
(* x (- (* 5/24 (pow x 2)) 1/2))
(.f64 x (fma.f64 x (.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64)))
(* x (- (* 5/24 (pow x 2)) 1/2))
(.f64 x (fma.f64 x (.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64)))
(* 5/24 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 5/24 binary64)))
(* (pow x 3) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64)))
(* (pow x 3) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64)))
(* (pow x 3) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64)))
(* 5/24 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 5/24 binary64)))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 5/24)))
(.f64 x (fma.f64 x (.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64)))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 5/24)))
(.f64 x (fma.f64 x (.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64)))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 5/24)))
(.f64 x (fma.f64 x (.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64)))
5/24
#s(literal 5/24 binary64)
(+ 5/24 (* -61/720 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))
(+ 5/24 (* -61/720 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))
(+ 5/24 (* -61/720 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))
(* -61/720 (pow x 2))
(.f64 x (.f64 x #s(literal -61/720 binary64)))
(* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))
(* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))
(* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))
(* -61/720 (pow x 2))
(.f64 x (.f64 x #s(literal -61/720 binary64)))
(* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))
(* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))
(* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(* x (- (* 5/24 (pow x 2)) 1/2))
(.f64 x (fma.f64 x (.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64)))
(* x (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2))
(.f64 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)))
(* x (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2))
(.f64 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)))
(* -61/720 (pow x 5))
(*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(.f64 (+.f64 #s(literal -61/720 binary64) (/.f64 #s(literal 5/24 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 5/24 binary64) (.f64 x x)) (+.f64 #s(literal -61/720 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 5) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 5/24 binary64) (.f64 x x)) (+.f64 #s(literal -61/720 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* -61/720 (pow x 5))
(*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- 61/720 (* 5/24 (/ 1 (pow x 2))))))
(.f64 (+.f64 #s(literal -61/720 binary64) (/.f64 #s(literal 5/24 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (+ 61/720 (/ 1/2 (pow x 4))) (* 5/24 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 5/24 binary64) (.f64 x x)) (+.f64 #s(literal -61/720 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* -1 (* (pow x 5) (- (+ 61/720 (/ 1/2 (pow x 4))) (* 5/24 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 5/24 binary64) (.f64 x x)) (+.f64 #s(literal -61/720 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
-1/2
#s(literal -1/2 binary64)
(- (* 5/24 (pow x 2)) 1/2)
(fma.f64 x (*.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64))
(- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64)) #s(literal -1/2 binary64))
(- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64)) #s(literal -1/2 binary64))
(* -61/720 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -61/720 binary64)))
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -61/720 binary64) (/.f64 #s(literal 5/24 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (/.f64 #s(literal 5/24 binary64) (.f64 x x)) (+.f64 #s(literal -61/720 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (/.f64 #s(literal 5/24 binary64) (.f64 x x)) (+.f64 #s(literal -61/720 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(* -61/720 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -61/720 binary64)))
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -61/720 binary64) (/.f64 #s(literal 5/24 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (/.f64 #s(literal 5/24 binary64) (.f64 x x)) (+.f64 #s(literal -61/720 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (/.f64 #s(literal 5/24 binary64) (.f64 x x)) (+.f64 #s(literal -61/720 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (.f64 x x)))))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(* -61/720 (pow x 6))
(*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(.f64 (+.f64 #s(literal -61/720 binary64) (/.f64 #s(literal 5/24 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))
(.f64 (+.f64 (/.f64 #s(literal 5/24 binary64) (.f64 x x)) (+.f64 #s(literal -61/720 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (+ (* 5/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 61/720 (/ 1/2 (pow x 4)))))
(fma.f64 (+.f64 (/.f64 #s(literal 5/24 binary64) (.f64 x x)) (+.f64 #s(literal -61/720 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (.f64 x x)))))) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))
(* -61/720 (pow x 6))
(*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(.f64 (+.f64 #s(literal -61/720 binary64) (/.f64 #s(literal 5/24 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))
(.f64 (+.f64 (/.f64 #s(literal 5/24 binary64) (.f64 x x)) (+.f64 #s(literal -61/720 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (+ (* 5/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 61/720 (/ 1/2 (pow x 4)))))
(fma.f64 (+.f64 (/.f64 #s(literal 5/24 binary64) (.f64 x x)) (+.f64 #s(literal -61/720 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (.f64 x x)))))) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))

simplify346.0ms (3.6%)

Memory

-18.3MiB live, 177.6MiB allocated

Algorithm

1×	egg-herbie

Rules

2× 1-exp

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1123	15355
1	1124	15355
0	1124	15355

Stop Event

1×	saturated
1×	saturated

Counts

478 → 0

Calls

Call 1

Inputs
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 (exp.f64 x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -2 binary64) (+.f64 (exp.f64 x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(neg.f64 (/.f64 #s(literal -2 binary64) (+.f64 (exp.f64 x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (+.f64 (exp.f64 x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (+.f64 (exp.f64 x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))))
(/.f64 #s(literal -2 binary64) (+.f64 (neg.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (exp.f64 x))) #s(literal -1 binary64)))
(pow.f64 (*.f64 (+.f64 (exp.f64 x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 (exp.f64 x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (+.f64 (exp.f64 x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (exp.f64 x)) (exp.f64 (+.f64 x x))))
(.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (+.f64 x x)) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))) (-.f64 (expm1.f64 x) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))
(exp.f64 x)
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(/.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)))) (.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)))) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)))) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)))) (neg.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64))))))))
(/.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)))) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)))) #s(literal -1 binary64)) (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 (neg.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)))) (.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)))) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64))))) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)))) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)))))))
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(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)))) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)))) #s(literal -1 binary64))) (neg.f64 (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 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)))) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)))))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)))) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64))))) (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 (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)) #s(literal 1 binary64))) (.f64 (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 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 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)))) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64))))))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)))) (.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)))) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64))))) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)))) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)))) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)))) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (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 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)))) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64))))) (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))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)))) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64))))) (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 (.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)))) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64))))) (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 #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 #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 (/.f64 (.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)))) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64))))) (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 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)))))))
(pow.f64 (/.f64 #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))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)))) (.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)))) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)))) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)))))))
(.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)))) (.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)))) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)))) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)))) (neg.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)))))))))
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(.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)))) (.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)))) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64))))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)))) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64))))))))
(.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)))) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (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 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)))) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)))))))

Outputs
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 (exp.f64 x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -2 binary64) (+.f64 (exp.f64 x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(neg.f64 (/.f64 #s(literal -2 binary64) (+.f64 (exp.f64 x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (+.f64 (exp.f64 x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (+.f64 (exp.f64 x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))))
(/.f64 #s(literal -2 binary64) (+.f64 (neg.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (exp.f64 x))) #s(literal -1 binary64)))
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eval51.0ms (0.5%)

Memory: 37.7MiB live, 75.1MiB allocated
Compiler: Compiled 4 779 to 170 computations (96.4% saved)

prune13.0ms (0.1%)

Memory

-6.6MiB live, 30.2MiB allocated

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	380	4	384
Fresh	1	1	2
Picked	1	4	5
Done	0	1	1
Total	382	10	392

Accuracy

100.0%

Counts

392 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.9%	(fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
✓	50.1%	(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
✓	50.0%	(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
▶	25.9%	(/.f64 #s(literal 4 binary64) (*.f64 x x))
▶	86.8%	(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x) #s(literal 2 binary64)))
▶	82.9%	(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) x) #s(literal 2 binary64)))
▶	72.9%	(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
✓	100.0%	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
▶	98.5%	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
✓	50.4%	#s(literal 1 binary64)

Compiler

Compiled 141 to 92 computations (34.8% saved)

simplify31.0ms (0.3%)

Memory

-6.4MiB live, 32.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x)
✓	cost-diff	(fma.f64 x (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x) #s(literal 2 binary64))
✓	cost-diff	(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x) #s(literal 2 binary64)))
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) x)
✓	cost-diff	(fma.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) x) #s(literal 2 binary64))
✓	cost-diff	(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) x) #s(literal 2 binary64)))
✓	cost-diff	(fma.f64 x x #s(literal 2 binary64))
✓	cost-diff	(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(/.f64 #s(literal 4 binary64) (*.f64 x x))
✓	cost-diff	(exp.f64 x)
✓	cost-diff	(+.f64 (exp.f64 x) #s(literal 1 binary64))
✓	cost-diff	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))

Rules

634×	`lower-fma.f32`
622×	`lower-fma.f64`
232×	`lower-*.f32`
230×	`lower-*.f64`
156×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	115
0	39	115
1	72	115
2	141	115
3	233	115
4	286	115
5	319	115
6	319	115
7	402	115
8	403	115
0	403	115

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
#s(literal 2 binary64)
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(exp.f64 x)
x
#s(literal 1 binary64)
(/.f64 #s(literal 4 binary64) (*.f64 x x))
#s(literal 4 binary64)
(*.f64 x x)
x
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
#s(literal 2 binary64)
(fma.f64 x x #s(literal 2 binary64))
x
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) x) #s(literal 2 binary64)))
#s(literal 2 binary64)
(fma.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) x) #s(literal 2 binary64))
x
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) x)
(*.f64 x x)
#s(literal 1/6 binary64)
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x) #s(literal 2 binary64)))
#s(literal 2 binary64)
(fma.f64 x (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x) #s(literal 2 binary64))
x
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x)
(*.f64 x x)
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
#s(literal 1/24 binary64)
#s(literal 1/6 binary64)

Outputs
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
#s(literal 2 binary64)
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(exp.f64 x)
x
#s(literal 1 binary64)
(/.f64 #s(literal 4 binary64) (*.f64 x x))
#s(literal 4 binary64)
(*.f64 x x)
x
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
#s(literal 2 binary64)
(fma.f64 x x #s(literal 2 binary64))
x
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) x) #s(literal 2 binary64)))
#s(literal 2 binary64)
(fma.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) x) #s(literal 2 binary64))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) x) #s(literal 2 binary64))
x
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) x)
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) x)
(*.f64 x x)
#s(literal 1/6 binary64)
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x) #s(literal 2 binary64)))
#s(literal 2 binary64)
(fma.f64 x (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x) #s(literal 2 binary64))
x
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x)
(*.f64 x x)
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
#s(literal 1/24 binary64)
#s(literal 1/6 binary64)

localize141.0ms (1.5%)

Memory

-14.8MiB live, 79.0MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 x (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x) #s(literal 2 binary64))
✓	accuracy	99.9%	(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x)
✓	accuracy	99.8%	(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
✓	accuracy	99.3%	(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x) #s(literal 2 binary64)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(fma.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) x) #s(literal 2 binary64))
✓	accuracy	99.8%	(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) x)
✓	accuracy	99.7%	(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) x) #s(literal 2 binary64)))
✓	accuracy	100.0%	(fma.f64 x x #s(literal 2 binary64))
✓	accuracy	99.4%	(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.3%	(/.f64 #s(literal 4 binary64) (*.f64 x x))
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	100.0%	(+.f64 (exp.f64 x) #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))

Samples

77.0ms

256×

valid

Compiler

Compiled 133 to 27 computations (79.7% saved)

Precisions

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

ival-div: 39.0ms (61.3% of total)

ival-mult: 8.0ms (12.6% of total)

ival-add: 7.0ms (11% of total)

const: 6.0ms (9.4% of total)

ival-exp: 2.0ms (3.1% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Memory

14.1MiB live, 14.1MiB allocated

Counts

14 → 168

Calls

Call 1

Inputs
#<alt (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))>
#<alt (+.f64 (exp.f64 x) #s(literal 1 binary64))>
#<alt (exp.f64 x)>
#<alt (/.f64 #s(literal 4 binary64) (*.f64 x x))>
#<alt (*.f64 x x)>
#<alt (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))>
#<alt (fma.f64 x x #s(literal 2 binary64))>
#<alt (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) x) #s(literal 2 binary64)))>
#<alt (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) x)>
#<alt (fma.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) x) #s(literal 2 binary64))>
#<alt (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x) #s(literal 2 binary64)))>
#<alt (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))>
#<alt (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x)>
#<alt (fma.f64 x (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x) #s(literal 2 binary64))>

Outputs
#<alt 1>
#<alt (+ 1 (* -1/2 x))>
#<alt (+ 1 (* x (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* x (- (* (pow x 2) (+ 1/24 (* -1/240 (pow x 2)))) 1/2)))>
#<alt (/ 2 (+ 1 (exp x)))>
#<alt (/ 2 (+ 1 (exp x)))>
#<alt (/ 2 (+ 1 (exp x)))>
#<alt (/ 2 (+ 1 (exp x)))>
#<alt (/ 2 (+ 1 (exp x)))>
#<alt (/ 2 (+ 1 (exp x)))>
#<alt (/ 2 (+ 1 (exp x)))>
#<alt (/ 2 (+ 1 (exp x)))>
#<alt 2>
#<alt (+ 2 x)>
#<alt (+ 2 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (+ 1 (exp x))>
#<alt (+ 1 (exp x))>
#<alt (+ 1 (exp x))>
#<alt (+ 1 (exp x))>
#<alt (+ 1 (exp x))>
#<alt (+ 1 (exp x))>
#<alt (+ 1 (exp x))>
#<alt (+ 1 (exp 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 (/ 4 (pow x 2))>
#<alt (/ 4 (pow x 2))>
#<alt (/ 4 (pow x 2))>
#<alt (/ 4 (pow x 2))>
#<alt (/ 4 (pow x 2))>
#<alt (/ 4 (pow x 2))>
#<alt (/ 4 (pow x 2))>
#<alt (/ 4 (pow x 2))>
#<alt (/ 4 (pow x 2))>
#<alt (/ 4 (pow x 2))>
#<alt (/ 4 (pow x 2))>
#<alt (/ 4 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/4 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/4 (* -1/8 (pow x 2)))) 1/2)))>
#<alt (/ 2 (pow x 2))>
#<alt (/ (- 2 (* 4 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 2 (/ 8 (pow x 4))) (* 4 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 2 (/ 8 (pow x 4))) (+ (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (pow x 6))))) (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ (- 2 (* 4 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 2 (/ 8 (pow x 4))) (* 4 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 2 (/ 8 (pow x 4))) (+ (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (pow x 6))))) (pow x 2))>
#<alt 2>
#<alt (+ 2 (pow x 2))>
#<alt (+ 2 (pow x 2))>
#<alt (+ 2 (pow x 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -1/12 x) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* x (- (* 1/4 x) 1/12)) 1/2)))>
#<alt (/ 12 (pow x 3))>
#<alt (/ (- 12 (* 72 (/ 1 x))) (pow x 3))>
#<alt (/ (- (+ 12 (/ 432 (pow x 2))) (* 72 (/ 1 x))) (pow x 3))>
#<alt (/ (- (+ 12 (/ 432 (pow x 2))) (+ (* 72 (/ 1 x)) (* 2736 (/ 1 (pow x 3))))) (pow x 3))>
#<alt (/ 12 (pow x 3))>
#<alt (* -1 (/ (- (* 72 (/ 1 x)) 12) (pow x 3)))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 432 (/ 1 x)) 72) x)) 12) (pow x 3)))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2736 (/ 1 x)) 432) x)) 72) x)) 12) (pow x 3)))>
#<alt x>
#<alt (* x (+ 1 (* 1/6 x)))>
#<alt (* x (+ 1 (* 1/6 x)))>
#<alt (* x (+ 1 (* 1/6 x)))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1/6 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1/6 (/ 1 x)))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1/6 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1/6 (/ 1 x)))>
#<alt 2>
#<alt (+ 2 (pow x 2))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* 1/6 x))))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* 1/6 x))))>
#<alt (* 1/6 (pow x 3))>
#<alt (* (pow x 3) (+ 1/6 (/ 1 x)))>
#<alt (* (pow x 3) (+ 1/6 (+ (/ 1 x) (/ 2 (pow x 3)))))>
#<alt (* (pow x 3) (+ 1/6 (+ (/ 1 x) (/ 2 (pow x 3)))))>
#<alt (* 1/6 (pow x 3))>
#<alt (* (pow x 3) (+ 1/6 (/ 1 x)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (* 2 (/ 1 (pow x 2)))) x)) 1/6)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (* 2 (/ 1 (pow x 2)))) x)) 1/6)))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -1/12 x) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* x (- (* 11/48 x) 1/12)) 1/2)))>
#<alt (/ 48 (pow x 4))>
#<alt (/ (- 48 (* 192 (/ 1 x))) (pow x 4))>
#<alt (/ (+ 48 (* -1 (/ (+ 192 (* 384 (/ 1 x))) x))) (pow x 4))>
#<alt (/ (- (+ 48 (* 6144 (/ 1 (pow x 3)))) (+ (* 192 (/ 1 x)) (/ 384 (pow x 2)))) (pow x 4))>
#<alt (/ 48 (pow x 4))>
#<alt (/ (- 48 (* 192 (/ 1 x))) (pow x 4))>
#<alt (/ (+ 48 (* -1 (/ (+ 192 (* 384 (/ 1 x))) x))) (pow x 4))>
#<alt (/ (+ 48 (* -1 (/ (+ 192 (* -1 (/ (- (* 6144 (/ 1 x)) 384) x))) x))) (pow x 4))>
#<alt 1/6>
#<alt (+ 1/6 (* 1/24 x))>
#<alt (+ 1/6 (* 1/24 x))>
#<alt (+ 1/6 (* 1/24 x))>
#<alt (* 1/24 x)>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* 1/24 x)>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt x>
#<alt (* x (+ 1 (* 1/6 x)))>
#<alt (* x (+ 1 (* x (+ 1/6 (* 1/24 x)))))>
#<alt (* x (+ 1 (* x (+ 1/6 (* 1/24 x)))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (/ 1 x)) x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (/ 1 x)) x)) 1/24)))>
#<alt 2>
#<alt (+ 2 (pow x 2))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* 1/6 x))))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* x (+ 1/6 (* 1/24 x))))))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 4) (+ 1/24 (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/24 (+ (* 1/6 (/ 1 x)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow x 4)))))))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 4) (+ 1/24 (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1 (* 2 (/ 1 (pow x 2)))) x)) 1/6) x))))>

Calls

42 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/ 2 (+ (* x (+ (* (* x x) (+ (* x 1/24) 1/6)) x)) 2))
0.0ms	x	@	inf	(/ 2 (+ (exp x) 1))
0.0ms	x	@	-inf	(/ 2 (+ (exp x) 1))
0.0ms	x	@	inf	(/ 2 (+ (* x (+ (* (* x x) (+ (* x 1/24) 1/6)) x)) 2))
0.0ms	x	@	inf	(/ 2 (+ (* x (+ (* (* x x) 1/6) x)) 2))

rewrite576.0ms (6.1%)

Memory

13.3MiB live, 402.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 860×	`lower-/.f32`
4 850×	`lower-/.f64`
4 612×	`lower-*.f32`
4 610×	`lower-*.f64`
3 562×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	95
0	39	95
1	186	95
2	1356	95
0	8220	95

Stop Event

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

Counts

14 → 471

Calls

Call 1

Inputs
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(exp.f64 x)
(/.f64 #s(literal 4 binary64) (*.f64 x x))
(*.f64 x x)
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
(fma.f64 x x #s(literal 2 binary64))
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) x) #s(literal 2 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) x)
(fma.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) x) #s(literal 2 binary64))
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x) #s(literal 2 binary64)))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x)
(fma.f64 x (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x) #s(literal 2 binary64))

Outputs
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 x))))
(neg.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 #s(literal -2 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(/.f64 (.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 (+.f64 x x) #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 3 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 (+.f64 x x) (+.f64 x x))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64)) (*.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))))
(/.f64 (.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (+.f64 (+.f64 x x) (+.f64 x x))) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (-.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(/.f64 (.f64 #s(literal 2 binary64) (expm1.f64 (+.f64 x x))) (.f64 (expm1.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (.f64 #s(literal 2 binary64) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (*.f64 (expm1.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(pow.f64 (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 x))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 x))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64))
(.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64))))) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(*.f64 (/.f64 #s(literal 2 binary64) (expm1.f64 (+.f64 x x))) (expm1.f64 x))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
(+.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (neg.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 x)))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal 1 binary64)))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal 1 binary64))
(fma.f64 (exp.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (neg.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x))))
(neg.f64 (-.f64 #s(literal -1 binary64) (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 x))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 x)) #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 x))))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 x)))))
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (expm1.f64 x)))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal 1 binary64) (exp.f64 x)))
(/.f64 (-.f64 (.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (.f64 (expm1.f64 x) #s(literal 1 binary64))) (*.f64 (expm1.f64 x) (expm1.f64 x)))
(/.f64 (.f64 (+.f64 (exp.f64 (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (exp.f64 (.f64 (+.f64 x x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64))))) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 x x) #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 x x) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 (+.f64 (+.f64 x x) (+.f64 x x))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (expm1.f64 x)))
(/.f64 (.f64 (expm1.f64 (+.f64 (+.f64 x x) (+.f64 x x))) #s(literal 1 binary64)) (.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (expm1.f64 x)))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (neg.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (fma.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (*.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 x)))))
(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 x)))
(.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))))
(*.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 x))))
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(exp.f64 x)
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -4 binary64) (*.f64 x x)))
(neg.f64 (/.f64 #s(literal -4 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 1/4 binary64)) x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)))))
(/.f64 #s(literal 4 binary64) (*.f64 x x))
(/.f64 #s(literal -4 binary64) (*.f64 x (neg.f64 x)))
(/.f64 (/.f64 #s(literal 4 binary64) x) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (/.f64 #s(literal 4 binary64) x)) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 4 binary64) x))) (neg.f64 (neg.f64 x)))
(pow.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (.f64 x x)))
(.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 #s(literal -4 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 4 binary64))
(*.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 #s(literal 1 binary64) x))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -4 binary64) (.f64 x x)))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64)))))
(*.f64 (neg.f64 (/.f64 #s(literal 4 binary64) x)) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 4 binary64) x))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(-.f64 #s(literal 0 binary64) (*.f64 x (neg.f64 x)))
(neg.f64 (*.f64 x (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (*.f64 x x) #s(literal 1 binary64))
(/.f64 (*.f64 x (neg.f64 x)) #s(literal -1 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 x (neg.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal 2 binary64))))
(neg.f64 (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
(/.f64 #s(literal -2 binary64) (-.f64 #s(literal -2 binary64) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (-.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 (-.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (.f64 x x))) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (.f64 x x))))))) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)) #s(literal 8 binary64)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x)) (-.f64 (.f64 (-.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (.f64 x x))) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (*.f64 x x))))))))
(/.f64 (.f64 #s(literal 2 binary64) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))) (.f64 (-.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (.f64 x x))) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (.f64 x x)))))) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)) #s(literal 8 binary64)) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (*.f64 x x))))))
(/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (.f64 x x) #s(literal -4 binary64))) (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -4 binary64)) (fma.f64 x x #s(literal 2 binary64))))
(/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)) #s(literal -8 binary64))) (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -4 binary64)) (fma.f64 x (.f64 x (.f64 x x)) (+.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (.f64 x x))))))
(pow.f64 (*.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64))
(.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)) #s(literal 8 binary64))) (-.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) (*.f64 x x))))
(.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x 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 (.f64 x x) (*.f64 x x)) (fma.f64 x x #s(literal -2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (fma.f64 x x #s(literal -2 binary64)))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -2 binary64) (*.f64 x x)))
(-.f64 (/.f64 (.f64 (.f64 x x) (*.f64 x x)) (fma.f64 x x #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 x x #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (.f64 x x))) (/.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 2 binary64) (*.f64 x x))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x x) (*.f64 x x)) (fma.f64 x x #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 4 binary64) (fma.f64 x x #s(literal -2 binary64))) #s(literal 1 binary64)))
(fma.f64 x x #s(literal 2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 2 binary64))
(fma.f64 (.f64 (.f64 x x) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (fma.f64 x x #s(literal -2 binary64)))))
(fma.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 x)) #s(literal 2 binary64))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(neg.f64 (-.f64 #s(literal -2 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 #s(literal 2 binary64) (.f64 x x)))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x)) #s(literal 8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (.f64 x x)) (-.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x x)))))
(/.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal -1 binary64))
(/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)) #s(literal 8 binary64)) (-.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) (.f64 x x))))
(/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 #s(literal 2 binary64) (*.f64 x x)))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x))) (fma.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (fma.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x) #s(literal -2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x))) (fma.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x) #s(literal -2 binary64))) (/.f64 (.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x))) (fma.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x) #s(literal -2 binary64))) (fma.f64 (/.f64 #s(literal 4 binary64) (fma.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x) #s(literal -2 binary64))) (.f64 (/.f64 (.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x))) (fma.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 x (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x) #s(literal -2 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))) (.f64 x x)) (.f64 (fma.f64 x x #s(literal 2 binary64)) (fma.f64 x x #s(literal 2 binary64)))) (-.f64 (.f64 (.f64 x x) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) (fma.f64 x x #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))) (.f64 (.f64 x x) (.f64 x x))) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))) (.f64 x x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x) #s(literal 2 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x) #s(literal 2 binary64)))
(.f64 (fma.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64))
(.f64 (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x)) (.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x))) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x)) #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) (.f64 x (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x))))))
(.f64 (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x)) (.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x))) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (-.f64 (.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x))) (.f64 #s(literal 2 binary64) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x)))))))
(.f64 (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x) #s(literal -2 binary64))))
(.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (.f64 x (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x))))
(.f64 (neg.f64 (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x)) (.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x))) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x)) #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) (.f64 x (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x)))))))
(.f64 (neg.f64 (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x)) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x) #s(literal -2 binary64)))))
(.f64 (-.f64 #s(literal 4 binary64) (.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x)))))

simplify559.0ms (5.9%)

Memory

-39.0MiB live, 405.6MiB allocated

Algorithm

1×	egg-herbie

Rules

12 022×	`lower-fma.f64`
12 022×	`lower-fma.f32`
4 484×	`lower-*.f64`
4 484×	`lower-*.f32`
3 438×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	217	1233
1	621	1222
2	1654	1215
3	4867	1204
0	8791	1116

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 166

Calls

Call 1

Inputs
1
(+ 1 (* -1/2 x))
(+ 1 (* x (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* x (- (* (pow x 2) (+ 1/24 (* -1/240 (pow x 2)))) 1/2)))
(/ 2 (+ 1 (exp x)))
(/ 2 (+ 1 (exp x)))
(/ 2 (+ 1 (exp x)))
(/ 2 (+ 1 (exp x)))
(/ 2 (+ 1 (exp x)))
(/ 2 (+ 1 (exp x)))
(/ 2 (+ 1 (exp x)))
(/ 2 (+ 1 (exp x)))
2
(+ 2 x)
(+ 2 (* x (+ 1 (* 1/2 x))))
(+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+ 1 (exp x))
(+ 1 (exp x))
(+ 1 (exp x))
(+ 1 (exp x))
(+ 1 (exp x))
(+ 1 (exp x))
(+ 1 (exp x))
(+ 1 (exp 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)
(/ 4 (pow x 2))
(/ 4 (pow x 2))
(/ 4 (pow x 2))
(/ 4 (pow x 2))
(/ 4 (pow x 2))
(/ 4 (pow x 2))
(/ 4 (pow x 2))
(/ 4 (pow x 2))
(/ 4 (pow x 2))
(/ 4 (pow x 2))
(/ 4 (pow x 2))
(/ 4 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/4 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/4 (* -1/8 (pow x 2)))) 1/2)))
(/ 2 (pow x 2))
(/ (- 2 (* 4 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 2 (/ 8 (pow x 4))) (* 4 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 2 (/ 8 (pow x 4))) (+ (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (pow x 6))))) (pow x 2))
(/ 2 (pow x 2))
(/ (- 2 (* 4 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 2 (/ 8 (pow x 4))) (* 4 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 2 (/ 8 (pow x 4))) (+ (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (pow x 6))))) (pow x 2))
2
(+ 2 (pow x 2))
(+ 2 (pow x 2))
(+ 2 (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/12 x) 1/2)))
(+ 1 (* (pow x 2) (- (* x (- (* 1/4 x) 1/12)) 1/2)))
(/ 12 (pow x 3))
(/ (- 12 (* 72 (/ 1 x))) (pow x 3))
(/ (- (+ 12 (/ 432 (pow x 2))) (* 72 (/ 1 x))) (pow x 3))
(/ (- (+ 12 (/ 432 (pow x 2))) (+ (* 72 (/ 1 x)) (* 2736 (/ 1 (pow x 3))))) (pow x 3))
(/ 12 (pow x 3))
(* -1 (/ (- (* 72 (/ 1 x)) 12) (pow x 3)))
(* -1 (/ (- (* -1 (/ (- (* 432 (/ 1 x)) 72) x)) 12) (pow x 3)))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2736 (/ 1 x)) 432) x)) 72) x)) 12) (pow x 3)))
x
(* x (+ 1 (* 1/6 x)))
(* x (+ 1 (* 1/6 x)))
(* x (+ 1 (* 1/6 x)))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (/ 1 x)))
(* (pow x 2) (+ 1/6 (/ 1 x)))
(* (pow x 2) (+ 1/6 (/ 1 x)))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (/ 1 x)))
(* (pow x 2) (+ 1/6 (/ 1 x)))
(* (pow x 2) (+ 1/6 (/ 1 x)))
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/6 x))))
(+ 2 (* (pow x 2) (+ 1 (* 1/6 x))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (/ 1 x)))
(* (pow x 3) (+ 1/6 (+ (/ 1 x) (/ 2 (pow x 3)))))
(* (pow x 3) (+ 1/6 (+ (/ 1 x) (/ 2 (pow x 3)))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (/ 1 x)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (* 2 (/ 1 (pow x 2)))) x)) 1/6)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (* 2 (/ 1 (pow x 2)))) x)) 1/6)))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/12 x) 1/2)))
(+ 1 (* (pow x 2) (- (* x (- (* 11/48 x) 1/12)) 1/2)))
(/ 48 (pow x 4))
(/ (- 48 (* 192 (/ 1 x))) (pow x 4))
(/ (+ 48 (* -1 (/ (+ 192 (* 384 (/ 1 x))) x))) (pow x 4))
(/ (- (+ 48 (* 6144 (/ 1 (pow x 3)))) (+ (* 192 (/ 1 x)) (/ 384 (pow x 2)))) (pow x 4))
(/ 48 (pow x 4))
(/ (- 48 (* 192 (/ 1 x))) (pow x 4))
(/ (+ 48 (* -1 (/ (+ 192 (* 384 (/ 1 x))) x))) (pow x 4))
(/ (+ 48 (* -1 (/ (+ 192 (* -1 (/ (- (* 6144 (/ 1 x)) 384) x))) x))) (pow x 4))
1/6
(+ 1/6 (* 1/24 x))
(+ 1/6 (* 1/24 x))
(+ 1/6 (* 1/24 x))
(* 1/24 x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/24 x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
x
(* x (+ 1 (* 1/6 x)))
(* x (+ 1 (* x (+ 1/6 (* 1/24 x)))))
(* x (+ 1 (* x (+ 1/6 (* 1/24 x)))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 2)))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (/ 1 x)) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (/ 1 x)) x)) 1/24)))
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/6 x))))
(+ 2 (* (pow x 2) (+ 1 (* x (+ 1/6 (* 1/24 x))))))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (+ 1/24 (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/24 (+ (* 1/6 (/ 1 x)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow x 4)))))))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (+ 1/24 (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1 (* 2 (/ 1 (pow x 2)))) x)) 1/6) x))))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1/2 x))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* (pow x 2) (+ 1/24 (* -1/240 (pow x 2)))) 1/2)))
(fma.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/ 2 (+ 1 (exp x)))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(/ 2 (+ 1 (exp x)))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(/ 2 (+ 1 (exp x)))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(/ 2 (+ 1 (exp x)))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(/ 2 (+ 1 (exp x)))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(/ 2 (+ 1 (exp x)))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(/ 2 (+ 1 (exp x)))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(/ 2 (+ 1 (exp x)))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x)))
2
#s(literal 2 binary64)
(+ 2 x)
(+.f64 x #s(literal 2 binary64))
(+ 2 (* x (+ 1 (* 1/2 x))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
(+ 2 (* 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 2 binary64))
(+ 1 (exp x))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
(+ 1 (exp x))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
(+ 1 (exp x))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
(+ 1 (exp x))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
(+ 1 (exp x))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
(+ 1 (exp x))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
(+ 1 (exp x))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
(+ 1 (exp x))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(/ 4 (pow x 2))
(/.f64 #s(literal 4 binary64) (*.f64 x x))
(/ 4 (pow x 2))
(/.f64 #s(literal 4 binary64) (*.f64 x x))
(/ 4 (pow x 2))
(/.f64 #s(literal 4 binary64) (*.f64 x x))
(/ 4 (pow x 2))
(/.f64 #s(literal 4 binary64) (*.f64 x x))
(/ 4 (pow x 2))
(/.f64 #s(literal 4 binary64) (*.f64 x x))
(/ 4 (pow x 2))
(/.f64 #s(literal 4 binary64) (*.f64 x x))
(/ 4 (pow x 2))
(/.f64 #s(literal 4 binary64) (*.f64 x x))
(/ 4 (pow x 2))
(/.f64 #s(literal 4 binary64) (*.f64 x x))
(/ 4 (pow x 2))
(/.f64 #s(literal 4 binary64) (*.f64 x x))
(/ 4 (pow x 2))
(/.f64 #s(literal 4 binary64) (*.f64 x x))
(/ 4 (pow x 2))
(/.f64 #s(literal 4 binary64) (*.f64 x x))
(/ 4 (pow x 2))
(/.f64 #s(literal 4 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/4 (pow x 2)) 1/2)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/4 (* -1/8 (pow x 2)))) 1/2)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 1/4 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ (- 2 (* 4 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (.f64 x x))) (.f64 x x))
(/ (- (+ 2 (/ 8 (pow x 4))) (* 4 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (.f64 x x))) (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x (.f64 x x))))) (*.f64 x x))
(/ (- (+ 2 (/ 8 (pow x 4))) (+ (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 2 binary64) (-.f64 (/.f64 #s(literal -4 binary64) (.f64 x x)) (/.f64 #s(literal 16 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))) (.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ (- 2 (* 4 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (.f64 x x))) (.f64 x x))
(/ (- (+ 2 (/ 8 (pow x 4))) (* 4 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (.f64 x x))) (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x (.f64 x x))))) (*.f64 x x))
(/ (- (+ 2 (/ 8 (pow x 4))) (+ (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 2 binary64) (-.f64 (/.f64 #s(literal -4 binary64) (.f64 x x)) (/.f64 #s(literal 16 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))) (.f64 x x))
2
#s(literal 2 binary64)
(+ 2 (pow x 2))
(fma.f64 x x #s(literal 2 binary64))
(+ 2 (pow x 2))
(fma.f64 x x #s(literal 2 binary64))
(+ 2 (pow x 2))
(fma.f64 x x #s(literal 2 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal 2 binary64))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal 2 binary64))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal 2 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal 2 binary64))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal 2 binary64))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal 2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* -1/12 x) 1/2)))
(fma.f64 x (*.f64 x (fma.f64 x #s(literal -1/12 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* x (- (* 1/4 x) 1/12)) 1/2)))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/12 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/ 12 (pow x 3))
(/.f64 #s(literal 12 binary64) (.f64 x (.f64 x x)))
(/ (- 12 (* 72 (/ 1 x))) (pow x 3))
(/.f64 (+.f64 #s(literal 12 binary64) (/.f64 #s(literal -72 binary64) x)) (.f64 x (.f64 x x)))
(/ (- (+ 12 (/ 432 (pow x 2))) (* 72 (/ 1 x))) (pow x 3))
(/.f64 (+.f64 #s(literal 12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 432 binary64) x) #s(literal -72 binary64)) x)) (.f64 x (.f64 x x)))
(/ (- (+ 12 (/ 432 (pow x 2))) (+ (* 72 (/ 1 x)) (* 2736 (/ 1 (pow x 3))))) (pow x 3))
(/.f64 (+.f64 #s(literal 12 binary64) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 432 binary64) x) #s(literal -72 binary64)) x) (/.f64 #s(literal -2736 binary64) (.f64 x (.f64 x x))))) (.f64 x (.f64 x x)))
(/ 12 (pow x 3))
(/.f64 #s(literal 12 binary64) (.f64 x (.f64 x x)))
(* -1 (/ (- (* 72 (/ 1 x)) 12) (pow x 3)))
(/.f64 (+.f64 #s(literal 12 binary64) (/.f64 #s(literal -72 binary64) x)) (.f64 x (.f64 x x)))
(* -1 (/ (- (* -1 (/ (- (* 432 (/ 1 x)) 72) x)) 12) (pow x 3)))
(/.f64 (+.f64 #s(literal 12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 432 binary64) x) #s(literal -72 binary64)) x)) (.f64 x (.f64 x x)))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2736 (/ 1 x)) 432) x)) 72) x)) 12) (pow x 3)))
(/.f64 (-.f64 #s(literal 12 binary64) (/.f64 (+.f64 #s(literal 72 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2736 binary64) x) #s(literal -432 binary64)) x)) x)) (.f64 x (.f64 x x)))
x
(* x (+ 1 (* 1/6 x)))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) x)
(* x (+ 1 (* 1/6 x)))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) x)
(* x (+ 1 (* 1/6 x)))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) x)
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (/ 1 x)))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) x)
(* (pow x 2) (+ 1/6 (/ 1 x)))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) x)
(* (pow x 2) (+ 1/6 (/ 1 x)))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) x)
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (/ 1 x)))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) x)
(* (pow x 2) (+ 1/6 (/ 1 x)))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) x)
(* (pow x 2) (+ 1/6 (/ 1 x)))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) x)
2
#s(literal 2 binary64)
(+ 2 (pow x 2))
(fma.f64 x x #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1 (* 1/6 x))))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1 (* 1/6 x))))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) x) #s(literal 2 binary64))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/6 (/ 1 x)))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/6 binary64)) x))
(* (pow x 3) (+ 1/6 (+ (/ 1 x) (/ 2 (pow x 3)))))
(.f64 x (fma.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))) x))
(* (pow x 3) (+ 1/6 (+ (/ 1 x) (/ 2 (pow x 3)))))
(.f64 x (fma.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))) x))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/6 (/ 1 x)))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/6 binary64)) x))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (* 2 (/ 1 (pow x 2)))) x)) 1/6)))
(.f64 (.f64 x x) (.f64 x (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (* 2 (/ 1 (pow x 2)))) x)) 1/6)))
(.f64 (.f64 x x) (.f64 x (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) x))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* -1/12 x) 1/2)))
(fma.f64 x (*.f64 x (fma.f64 x #s(literal -1/12 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* x (- (* 11/48 x) 1/12)) 1/2)))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal 11/48 binary64) #s(literal -1/12 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/ 48 (pow x 4))
(/.f64 #s(literal 48 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ (- 48 (* 192 (/ 1 x))) (pow x 4))
(/.f64 (-.f64 #s(literal 48 binary64) (/.f64 #s(literal 192 binary64) x)) (.f64 x (.f64 x (*.f64 x x))))
(/ (+ 48 (* -1 (/ (+ 192 (* 384 (/ 1 x))) x))) (pow x 4))
(/.f64 (+.f64 #s(literal 48 binary64) (/.f64 (+.f64 #s(literal -192 binary64) (/.f64 #s(literal -384 binary64) x)) x)) (.f64 x (.f64 x (*.f64 x x))))
(/ (- (+ 48 (* 6144 (/ 1 (pow x 3)))) (+ (* 192 (/ 1 x)) (/ 384 (pow x 2)))) (pow x 4))
(/.f64 (+.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 6144 binary64) x) #s(literal -384 binary64)) x) x) (-.f64 #s(literal 48 binary64) (/.f64 #s(literal 192 binary64) x))) (.f64 x (.f64 x (*.f64 x x))))
(/ 48 (pow x 4))
(/.f64 #s(literal 48 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ (- 48 (* 192 (/ 1 x))) (pow x 4))
(/.f64 (-.f64 #s(literal 48 binary64) (/.f64 #s(literal 192 binary64) x)) (.f64 x (.f64 x (*.f64 x x))))
(/ (+ 48 (* -1 (/ (+ 192 (* 384 (/ 1 x))) x))) (pow x 4))
(/.f64 (+.f64 #s(literal 48 binary64) (/.f64 (+.f64 #s(literal -192 binary64) (/.f64 #s(literal -384 binary64) x)) x)) (.f64 x (.f64 x (*.f64 x x))))
(/ (+ 48 (* -1 (/ (+ 192 (* -1 (/ (- (* 6144 (/ 1 x)) 384) x))) x))) (pow x 4))
(/.f64 (+.f64 #s(literal 48 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 6144 binary64) x) #s(literal -384 binary64)) x) #s(literal -192 binary64)) x)) (.f64 x (.f64 x (*.f64 x x))))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/24 x))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(+ 1/6 (* 1/24 x))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(+ 1/6 (* 1/24 x))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
x
(* x (+ 1 (* 1/6 x)))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) x)
(* x (+ 1 (* x (+ 1/6 (* 1/24 x)))))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x)
(* x (+ 1 (* x (+ 1/6 (* 1/24 x)))))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x)
(* 1/24 (pow x 3))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* (pow x 3) (+ 1/24 (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x)
(* (pow x 3) (+ 1/24 (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x)
(* 1/24 (pow x 3))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (/ 1 x)) x)) 1/24)))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)) x)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (/ 1 x)) x)) 1/24)))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)) x)))
2
#s(literal 2 binary64)
(+ 2 (pow x 2))
(fma.f64 x x #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1 (* 1/6 x))))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1 (* x (+ 1/6 (* 1/24 x))))))
(fma.f64 x (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x) #s(literal 2 binary64))
(* 1/24 (pow x 4))
(.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)))
(* (pow x 4) (+ 1/24 (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) x))))
(* (pow x 4) (+ 1/24 (+ (* 1/6 (/ 1 x)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow x 4)))))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1/6 binary64) x))) #s(literal 2 binary64))
(* 1/24 (pow x 4))
(.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)))
(* (pow x 4) (+ 1/24 (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) x))))
(* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1 (* 2 (/ 1 (pow x 2)))) x)) 1/6) x))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) x)) x)))

simplify289.0ms (3%)

Memory

42.2MiB live, 234.5MiB allocated

Algorithm

1×	egg-herbie

Rules

2× 1-exp

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1243	13641
1	1244	13641
0	1244	13641

Stop Event

1×	saturated
1×	saturated

Counts

471 → 0

Calls

Call 1

Inputs
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 x))))
(neg.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 #s(literal -2 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(/.f64 (.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 (+.f64 x x) #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 3 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 (+.f64 x x) (+.f64 x x))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64)) (*.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))))
(/.f64 (.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (+.f64 (+.f64 x x) (+.f64 x x))) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (-.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(/.f64 (.f64 #s(literal 2 binary64) (expm1.f64 (+.f64 x x))) (.f64 (expm1.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (.f64 #s(literal 2 binary64) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (*.f64 (expm1.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(pow.f64 (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 x))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 x))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64))
(.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64))))) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(*.f64 (/.f64 #s(literal 2 binary64) (expm1.f64 (+.f64 x x))) (expm1.f64 x))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
(+.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (neg.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 x)))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal 1 binary64)))
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(.f64 (neg.f64 (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x)) (.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x))) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x)) #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) (.f64 x (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x)))))))
(.f64 (neg.f64 (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x)) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x) #s(literal -2 binary64)))))
(.f64 (-.f64 #s(literal 4 binary64) (.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x)))))

Outputs
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 x))))
(neg.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 #s(literal -2 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(/.f64 (.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 (+.f64 x x) #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 3 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 (+.f64 x x) (+.f64 x x))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64)) (*.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))))
(/.f64 (.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (+.f64 (+.f64 x x) (+.f64 x x))) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (-.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(/.f64 (.f64 #s(literal 2 binary64) (expm1.f64 (+.f64 x x))) (.f64 (expm1.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (.f64 #s(literal 2 binary64) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (*.f64 (expm1.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(pow.f64 (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 x))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 x))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64))
(.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64))))) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(*.f64 (/.f64 #s(literal 2 binary64) (expm1.f64 (+.f64 x x))) (expm1.f64 x))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
(+.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (neg.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 x)))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal 1 binary64)))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal 1 binary64))
(fma.f64 (exp.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (neg.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x))))
(neg.f64 (-.f64 #s(literal -1 binary64) (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 x))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 x)) #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 x))))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 x)))))
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (expm1.f64 x)))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal 1 binary64) (exp.f64 x)))
(/.f64 (-.f64 (.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (.f64 (expm1.f64 x) #s(literal 1 binary64))) (*.f64 (expm1.f64 x) (expm1.f64 x)))
(/.f64 (.f64 (+.f64 (exp.f64 (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (exp.f64 (.f64 (+.f64 x x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64))))) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 x x) #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 x x) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 (+.f64 (+.f64 x x) (+.f64 x x))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (expm1.f64 x)))
(/.f64 (.f64 (expm1.f64 (+.f64 (+.f64 x x) (+.f64 x x))) #s(literal 1 binary64)) (.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (expm1.f64 x)))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (neg.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (fma.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (*.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 x)))))
(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 x)))
(.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))))
(*.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 x))))
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(exp.f64 x)
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -4 binary64) (*.f64 x x)))
(neg.f64 (/.f64 #s(literal -4 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 1/4 binary64)) x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)))))
(/.f64 #s(literal 4 binary64) (*.f64 x x))
(/.f64 #s(literal -4 binary64) (*.f64 x (neg.f64 x)))
(/.f64 (/.f64 #s(literal 4 binary64) x) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (/.f64 #s(literal 4 binary64) x)) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 4 binary64) x))) (neg.f64 (neg.f64 x)))
(pow.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (.f64 x x)))
(.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 #s(literal -4 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 4 binary64))
(*.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 #s(literal 1 binary64) x))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -4 binary64) (.f64 x x)))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64)))))
(*.f64 (neg.f64 (/.f64 #s(literal 4 binary64) x)) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 4 binary64) x))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(-.f64 #s(literal 0 binary64) (*.f64 x (neg.f64 x)))
(neg.f64 (*.f64 x (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (*.f64 x x) #s(literal 1 binary64))
(/.f64 (*.f64 x (neg.f64 x)) #s(literal -1 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 x (neg.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal 2 binary64))))
(neg.f64 (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
(/.f64 #s(literal -2 binary64) (-.f64 #s(literal -2 binary64) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (-.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 (-.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (.f64 x x))) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (.f64 x x))))))) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)) #s(literal 8 binary64)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x)) (-.f64 (.f64 (-.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (.f64 x x))) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (*.f64 x x))))))))
(/.f64 (.f64 #s(literal 2 binary64) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))) (.f64 (-.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (.f64 x x))) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (.f64 x x)))))) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)) #s(literal 8 binary64)) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (*.f64 x x))))))
(/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (.f64 x x) #s(literal -4 binary64))) (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -4 binary64)) (fma.f64 x x #s(literal 2 binary64))))
(/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)) #s(literal -8 binary64))) (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -4 binary64)) (fma.f64 x (.f64 x (.f64 x x)) (+.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (.f64 x x))))))
(pow.f64 (*.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64))
(.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)) #s(literal 8 binary64))) (-.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) (*.f64 x x))))
(.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x 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 (.f64 x x) (*.f64 x x)) (fma.f64 x x #s(literal -2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (fma.f64 x x #s(literal -2 binary64)))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -2 binary64) (*.f64 x x)))
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(/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (.f64 (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))) (pow.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 x (.f64 (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))) (.f64 x x) (-.f64 (.f64 (fma.f64 x x #s(literal 2 binary64)) (fma.f64 x x #s(literal 2 binary64))) (.f64 (.f64 (.f64 x x) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) (fma.f64 x x #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))) #s(literal 3 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (fma.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))) (.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x))) (fma.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (fma.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x) #s(literal -2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x))) (fma.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x) #s(literal -2 binary64))) (/.f64 (.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x))) (fma.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x) #s(literal -2 binary64))) (fma.f64 (/.f64 #s(literal 4 binary64) (fma.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x) #s(literal -2 binary64))) (.f64 (/.f64 (.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x))) (fma.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 x (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x) #s(literal -2 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))) (.f64 x x)) (.f64 (fma.f64 x x #s(literal 2 binary64)) (fma.f64 x x #s(literal 2 binary64)))) (-.f64 (.f64 (.f64 x x) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) (fma.f64 x x #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))) (.f64 (.f64 x x) (.f64 x x))) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))) (.f64 x x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x) #s(literal 2 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x) #s(literal 2 binary64)))
(.f64 (fma.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64))
(.f64 (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x)) (.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x))) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x)) #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) (.f64 x (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x))))))
(.f64 (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x)) (.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x))) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (-.f64 (.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x))) (.f64 #s(literal 2 binary64) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x)))))))
(.f64 (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x) #s(literal -2 binary64))))
(.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (.f64 x (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x))))
(.f64 (neg.f64 (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x)) (.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x))) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x)) #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) (.f64 x (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x)))))))
(.f64 (neg.f64 (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x)) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x) #s(literal -2 binary64)))))
(.f64 (-.f64 #s(literal 4 binary64) (.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x)))))

eval39.0ms (0.4%)

Memory: -25.6MiB live, 91.9MiB allocated
Compiler: Compiled 3 893 to 201 computations (94.8% saved)

prune18.0ms (0.2%)

Memory

10.6MiB live, 48.8MiB allocated

Pruning

20 alts after pruning (11 fresh and 9 done)

	Pruned	Kept	Total
New	369	11	380
Fresh	0	0	0
Picked	1	4	5
Done	0	5	5
Total	370	20	390

Accuracy

100.0%

Counts

390 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.1%	(fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓	49.9%	(fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
✓	50.1%	(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
✓	50.0%	(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
	39.5%	(/.f64 (+.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 6144 binary64) x) #s(literal -384 binary64)) x) x) (-.f64 #s(literal 48 binary64) (/.f64 #s(literal 192 binary64) x))) (.f64 x (.f64 x (*.f64 x x))))
	38.1%	(/.f64 (+.f64 #s(literal 48 binary64) (/.f64 (+.f64 #s(literal -192 binary64) (/.f64 #s(literal -384 binary64) x)) x)) (.f64 x (.f64 x (*.f64 x x))))
▶	39.6%	(/.f64 #s(literal 48 binary64) (.f64 x (.f64 x (*.f64 x x))))
	36.1%	(/.f64 #s(literal 12 binary64) (.f64 x (.f64 x x)))
✓	86.8%	(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x) #s(literal 2 binary64)))
✓	82.9%	(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) x) #s(literal 2 binary64)))
	81.9%	(/.f64 #s(literal 2 binary64) (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 2 binary64)))
▶	86.6%	(/.f64 #s(literal 2 binary64) (fma.f64 x (.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 2 binary64)))
▶	86.5%	(/.f64 #s(literal 2 binary64) (fma.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x))) #s(literal 2 binary64)))
✓	72.9%	(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
✓	100.0%	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	98.5%	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
▶	50.7%	(/.f64 #s(literal 2 binary64) (+.f64 x #s(literal 2 binary64)))
	39.7%	(/.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x))))
	26.0%	(/.f64 #s(literal 2 binary64) (*.f64 x x))
✓	50.4%	#s(literal 1 binary64)

Compiler

Compiled 364 to 240 computations (34.1% saved)

simplify17.0ms (0.2%)

Memory

-24.6MiB live, 28.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Program
✓	cost-diff	(.f64 x (.f64 x x))
✓	cost-diff	(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
✓	cost-diff	(fma.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x))) #s(literal 2 binary64))
✓	cost-diff	(/.f64 #s(literal 2 binary64) (fma.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x))) #s(literal 2 binary64)))
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(.f64 x (.f64 x x))
✓	cost-diff	(.f64 x (.f64 x (*.f64 x x)))
✓	cost-diff	(/.f64 #s(literal 48 binary64) (.f64 x (.f64 x (*.f64 x x))))
✓	cost-diff	(*.f64 x #s(literal 1/24 binary64))
✓	cost-diff	(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
✓	cost-diff	(fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓	cost-diff	(+.f64 x #s(literal 2 binary64))
✓	cost-diff	(/.f64 #s(literal 2 binary64) (+.f64 x #s(literal 2 binary64)))
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
✓	cost-diff	(fma.f64 x (.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 2 binary64))
✓	cost-diff	(/.f64 #s(literal 2 binary64) (fma.f64 x (.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 2 binary64)))

Rules

192×	`lower-fma.f32`
182×	`lower-fma.f64`
108×	`lower-*.f32`
96×	`lower-*.f64`
68×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	141
0	43	125
1	84	119
2	159	119
3	207	119
4	209	119
0	209	115

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 #s(literal 2 binary64) (fma.f64 x (.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 2 binary64)))
#s(literal 2 binary64)
(fma.f64 x (.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 2 binary64))
x
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(*.f64 x x)
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
#s(literal 1/24 binary64)
#s(literal 1/6 binary64)
(/.f64 #s(literal 2 binary64) (+.f64 x #s(literal 2 binary64)))
#s(literal 2 binary64)
(+.f64 x #s(literal 2 binary64))
x
(fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
x
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(*.f64 x #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 48 binary64) (.f64 x (.f64 x (*.f64 x x))))
#s(literal 48 binary64)
(.f64 x (.f64 x (*.f64 x x)))
x
(.f64 x (.f64 x x))
(*.f64 x x)
(/.f64 #s(literal 2 binary64) (fma.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x))) #s(literal 2 binary64)))
#s(literal 2 binary64)
(fma.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x))) #s(literal 2 binary64))
x
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
#s(literal 1/24 binary64)
(.f64 x (.f64 x x))
(*.f64 x x)

Outputs
(/.f64 #s(literal 2 binary64) (fma.f64 x (.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)) #s(literal 2 binary64)))
#s(literal 2 binary64)
(fma.f64 x (.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 2 binary64))
(fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)) #s(literal 2 binary64))
x
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(*.f64 x x)
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
#s(literal 1/24 binary64)
#s(literal 1/6 binary64)
(/.f64 #s(literal 2 binary64) (+.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) x))
#s(literal 2 binary64)
(+.f64 x #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) x)
x
(fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
x
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(*.f64 x #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 48 binary64) (.f64 x (.f64 x (*.f64 x x))))
#s(literal 48 binary64)
(.f64 x (.f64 x (*.f64 x x)))
x
(.f64 x (.f64 x x))
(*.f64 x x)
(/.f64 #s(literal 2 binary64) (fma.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x))) #s(literal 2 binary64)))
#s(literal 2 binary64)
(fma.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x))) #s(literal 2 binary64))
x
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
#s(literal 1/24 binary64)
(.f64 x (.f64 x x))
(*.f64 x x)

localize86.0ms (0.9%)

Memory

20.5MiB live, 175.8MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x))) #s(literal 2 binary64))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.4%	(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
✓	accuracy	99.3%	(/.f64 #s(literal 2 binary64) (fma.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x))) #s(literal 2 binary64)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(.f64 x (.f64 x (*.f64 x x)))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.2%	(/.f64 #s(literal 48 binary64) (.f64 x (.f64 x (*.f64 x x))))
✓	accuracy	100.0%	(fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓	accuracy	99.9%	(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/24 binary64))
✓	accuracy	100.0%	(+.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) (+.f64 x #s(literal 2 binary64)))
✓	accuracy	100.0%	(fma.f64 x (.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 2 binary64))
✓	accuracy	99.8%	(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
✓	accuracy	99.7%	(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
✓	accuracy	99.3%	(/.f64 #s(literal 2 binary64) (fma.f64 x (.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 2 binary64)))

Samples

56.0ms

256×

valid

Compiler

Compiled 154 to 29 computations (81.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-mult: 17.0ms (41.1% of total)

const: 10.0ms (24.1% of total)

ival-add: 7.0ms (16.9% of total)

ival-div: 6.0ms (14.5% of total)

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

exact: 0.0ms (0% of total)

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

series13.0ms (0.1%)

Memory

-14.1MiB live, 24.3MiB allocated

Counts

16 → 192

Calls

Call 1

Inputs
#<alt (/.f64 #s(literal 2 binary64) (fma.f64 x (.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 2 binary64)))>
#<alt (.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))>
#<alt (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))>
#<alt (fma.f64 x (.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 2 binary64))>
#<alt (/.f64 #s(literal 2 binary64) (+.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 x #s(literal 2 binary64))>
#<alt (*.f64 x #s(literal 1/24 binary64))>
#<alt (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))>
#<alt (fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))>
#<alt (/.f64 #s(literal 48 binary64) (.f64 x (.f64 x (*.f64 x x))))>
#<alt (.f64 x (.f64 x x))>
#<alt (.f64 x (.f64 x (*.f64 x x)))>
#<alt (*.f64 x x)>
#<alt (/.f64 #s(literal 2 binary64) (fma.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x))) #s(literal 2 binary64)))>
#<alt (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))>
#<alt (fma.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x))) #s(literal 2 binary64))>

Outputs
#<alt 1>
#<alt (+ 1 (* -1/12 (pow x 3)))>
#<alt (+ 1 (* (pow x 3) (- (* -1/48 x) 1/12)))>
#<alt (+ 1 (* (pow x 3) (- (* x (- (* 1/144 (pow x 2)) 1/48)) 1/12)))>
#<alt (/ 48 (pow x 4))>
#<alt (/ (- 48 (* 192 (/ 1 x))) (pow x 4))>
#<alt (/ (- (+ 48 (/ 768 (pow x 2))) (* 192 (/ 1 x))) (pow x 4))>
#<alt (/ (- (+ 48 (/ 768 (pow x 2))) (+ (* 192 (/ 1 x)) (* 3072 (/ 1 (pow x 3))))) (pow x 4))>
#<alt (/ 48 (pow x 4))>
#<alt (/ (- 48 (* 192 (/ 1 x))) (pow x 4))>
#<alt (/ (+ 48 (* -1 (/ (- 192 (* 768 (/ 1 x))) x))) (pow x 4))>
#<alt (/ (+ 48 (* -1 (/ (+ 192 (* -1 (/ (- 768 (* 3072 (/ 1 x))) x))) x))) (pow x 4))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* 1/24 x)))>
#<alt (* (pow x 2) (+ 1/6 (* 1/24 x)))>
#<alt (* (pow x 2) (+ 1/6 (* 1/24 x)))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt 1/6>
#<alt (+ 1/6 (* 1/24 x))>
#<alt (+ 1/6 (* 1/24 x))>
#<alt (+ 1/6 (* 1/24 x))>
#<alt (* 1/24 x)>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* 1/24 x)>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt 2>
#<alt (+ 2 (* 1/6 (pow x 3)))>
#<alt (+ 2 (* (pow x 3) (+ 1/6 (* 1/24 x))))>
#<alt (+ 2 (* (pow x 3) (+ 1/6 (* 1/24 x))))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 4) (+ 1/24 (+ (* 1/6 (/ 1 x)) (/ 2 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/24 (+ (* 1/6 (/ 1 x)) (/ 2 (pow x 4)))))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 4) (+ 1/24 (+ (* 1/6 (/ 1 x)) (/ 2 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/24 (+ (* 1/6 (/ 1 x)) (/ 2 (pow x 4)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 x))>
#<alt (+ 1 (* x (- (* 1/4 x) 1/2)))>
#<alt (+ 1 (* x (- (* x (+ 1/4 (* -1/8 x))) 1/2)))>
#<alt (/ 2 x)>
#<alt (/ (- 2 (* 4 (/ 1 x))) x)>
#<alt (/ (- (+ 2 (/ 8 (pow x 2))) (* 4 (/ 1 x))) x)>
#<alt (/ (- (+ 2 (/ 8 (pow x 2))) (+ (* 4 (/ 1 x)) (* 16 (/ 1 (pow x 3))))) x)>
#<alt (/ 2 x)>
#<alt (* -1 (/ (- (* 4 (/ 1 x)) 2) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 x)) 4) x)) 2) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 x)) 8) x)) 4) x)) 2) 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 x>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt -1/2>
#<alt (- (* 1/24 (pow x 2)) 1/2)>
#<alt (- (* 1/24 (pow x 2)) 1/2)>
#<alt (- (* 1/24 (pow x 2)) 1/2)>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 x))>
#<alt (+ 1 (* x (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* x (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- (+ 1/24 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- (+ 1/24 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) (+ 1/24 (/ 1 (pow x 3))))))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) (+ 1/24 (/ 1 (pow x 3))))))>
#<alt (/ 48 (pow x 4))>
#<alt (/ 48 (pow x 4))>
#<alt (/ 48 (pow x 4))>
#<alt (/ 48 (pow x 4))>
#<alt (/ 48 (pow x 4))>
#<alt (/ 48 (pow x 4))>
#<alt (/ 48 (pow x 4))>
#<alt (/ 48 (pow x 4))>
#<alt (/ 48 (pow x 4))>
#<alt (/ 48 (pow x 4))>
#<alt (/ 48 (pow x 4))>
#<alt (/ 48 (pow x 4))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 1>
#<alt (+ 1 (* -1/48 (pow x 4)))>
#<alt (+ 1 (* (pow x 4) (- (* 1/2304 (pow x 4)) 1/48)))>
#<alt (+ 1 (* (pow x 4) (- (* (pow x 4) (+ 1/2304 (* -1/110592 (pow x 4)))) 1/48)))>
#<alt (/ 48 (pow x 4))>
#<alt (/ (- 48 (* 2304 (/ 1 (pow x 4)))) (pow x 4))>
#<alt (/ (- (+ 48 (/ 110592 (pow x 8))) (* 2304 (/ 1 (pow x 4)))) (pow x 4))>
#<alt (/ (- (+ 48 (/ 110592 (pow x 8))) (+ (* 2304 (/ 1 (pow x 4))) (* 5308416 (/ 1 (pow x 12))))) (pow x 4))>
#<alt (/ 48 (pow x 4))>
#<alt (/ (- 48 (* 2304 (/ 1 (pow x 4)))) (pow x 4))>
#<alt (/ (- (+ 48 (/ 110592 (pow x 8))) (* 2304 (/ 1 (pow x 4)))) (pow x 4))>
#<alt (/ (- (+ 48 (/ 110592 (pow x 8))) (+ (* 2304 (/ 1 (pow x 4))) (* 5308416 (/ 1 (pow x 12))))) (pow x 4))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt 2>
#<alt (+ 2 (* 1/24 (pow x 4)))>
#<alt (+ 2 (* 1/24 (pow x 4)))>
#<alt (+ 2 (* 1/24 (pow x 4)))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (+ 1/24 (* 2 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/24 (* 2 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/24 (* 2 (/ 1 (pow x 4)))))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (+ 1/24 (* 2 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/24 (* 2 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/24 (* 2 (/ 1 (pow x 4)))))>

Calls

48 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(/ 2 (+ (* x (* 1/24 (* x (* x x)))) 2))
2.0ms	x	@	inf	(/ 2 (+ x 2))
0.0ms	x	@	0	(/ 48 (* x (* x (* x x))))
0.0ms	x	@	-inf	(* x (* x x))
0.0ms	x	@	0	(/ 2 (+ (* x (* 1/24 (* x (* x x)))) 2))

rewrite390.0ms (4.1%)

Memory

10.5MiB live, 644.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 392×	`lower-fma.f32`
6 382×	`lower-fma.f64`
4 726×	`lower-*.f32`
4 714×	`lower-*.f64`
4 282×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	115
0	43	101
1	185	95
2	1229	95
0	8318	91

Stop Event

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

Counts

16 → 571

Calls

Call 1

Inputs
(/.f64 #s(literal 2 binary64) (fma.f64 x (.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 2 binary64)))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(fma.f64 x (.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 2 binary64))
(/.f64 #s(literal 2 binary64) (+.f64 x #s(literal 2 binary64)))
(+.f64 x #s(literal 2 binary64))
(*.f64 x #s(literal 1/24 binary64))
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 48 binary64) (.f64 x (.f64 x (*.f64 x x))))
(.f64 x (.f64 x x))
(.f64 x (.f64 x (*.f64 x x)))
(*.f64 x x)
(/.f64 #s(literal 2 binary64) (fma.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x))) #s(literal 2 binary64)))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(fma.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x))) #s(literal 2 binary64))

Outputs
(+.f64 (.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))) #s(literal 8 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) (.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))))) (.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))) #s(literal 8 binary64))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) (*.f64 x #s(literal -2 binary64))))))
(+.f64 (.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))) #s(literal 8 binary64))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) (.f64 x #s(literal -2 binary64))))) (.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))) #s(literal 8 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) (.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))))))
(+.f64 (.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) (.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))) #s(literal -4 binary64))) (.f64 x (.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))) (.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) (.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))) #s(literal -4 binary64))) #s(literal -2 binary64)))
(+.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) (.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))) (/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))) #s(literal 8 binary64)))) (.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) (.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (*.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))) #s(literal 8 binary64)))))
(+.f64 (.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) (.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))) #s(literal 8 binary64)))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) (.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))) (/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (*.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))) #s(literal 8 binary64)))))
(+.f64 (.f64 (.f64 x (.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))) (/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) (.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))) #s(literal -4 binary64)))) (.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) (.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))) #s(literal -4 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)) #s(literal 2 binary64))))
(fma.f64 (.f64 x (.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))) (/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) (.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))) #s(literal -4 binary64))) (.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) (.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))) #s(literal -4 binary64)))))
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(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal -64 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal -8 binary64)) (fma.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64)))) #s(literal -2 binary64))))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal -64 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/331776 binary64)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (+.f64 #s(literal 16 binary64) (.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -2 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/331776 binary64)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal -16 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)))) #s(literal 4 binary64)) (fma.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)))) #s(literal 8 binary64)))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/24 binary64)))) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)))) #s(literal 8 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/24 binary64)))) #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)))) #s(literal -4 binary64)))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -2 binary64)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)))) #s(literal -4 binary64)))) (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal -1/24 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (neg.f64 (-.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (fma.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -2 binary64))) (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -2 binary64))) (fma.f64 (/.f64 #s(literal 4 binary64) (fma.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -2 binary64))) (.f64 (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -2 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -2 binary64))) (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -2 binary64)))) (.f64 (/.f64 #s(literal 4 binary64) (fma.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -2 binary64))))) (+.f64 (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -2 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64))) #s(literal 2 binary64)))
(.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)))) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64)))) #s(literal -2 binary64))))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)))) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)))) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64)))) #s(literal -2 binary64))))))
(.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)))) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -2 binary64))))
(.f64 #s(literal -1 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal -1/24 binary64)) #s(literal -2 binary64)))
(.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)))) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64)))) #s(literal -2 binary64)))))))
(.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)))) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) (*.f64 x #s(literal -1/24 binary64)) #s(literal 2 binary64))))
(.f64 (-.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/24 binary64)))))))

simplify312.0ms (3.3%)

Memory

11.9MiB live, 568.6MiB allocated

Algorithm

1×	egg-herbie

Rules

8 366×	`lower-fma.f64`
8 366×	`lower-fma.f32`
3 334×	`lower-*.f64`
3 334×	`lower-*.f32`
2 674×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	189	1196
1	531	1188
2	1241	1180
3	3326	1168
0	8235	1084

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 190

Calls

Call 1

Inputs
1
(+ 1 (* -1/12 (pow x 3)))
(+ 1 (* (pow x 3) (- (* -1/48 x) 1/12)))
(+ 1 (* (pow x 3) (- (* x (- (* 1/144 (pow x 2)) 1/48)) 1/12)))
(/ 48 (pow x 4))
(/ (- 48 (* 192 (/ 1 x))) (pow x 4))
(/ (- (+ 48 (/ 768 (pow x 2))) (* 192 (/ 1 x))) (pow x 4))
(/ (- (+ 48 (/ 768 (pow x 2))) (+ (* 192 (/ 1 x)) (* 3072 (/ 1 (pow x 3))))) (pow x 4))
(/ 48 (pow x 4))
(/ (- 48 (* 192 (/ 1 x))) (pow x 4))
(/ (+ 48 (* -1 (/ (- 192 (* 768 (/ 1 x))) x))) (pow x 4))
(/ (+ 48 (* -1 (/ (+ 192 (* -1 (/ (- 768 (* 3072 (/ 1 x))) x))) x))) (pow x 4))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/24 x)))
(* (pow x 2) (+ 1/6 (* 1/24 x)))
(* (pow x 2) (+ 1/6 (* 1/24 x)))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
1/6
(+ 1/6 (* 1/24 x))
(+ 1/6 (* 1/24 x))
(+ 1/6 (* 1/24 x))
(* 1/24 x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/24 x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
2
(+ 2 (* 1/6 (pow x 3)))
(+ 2 (* (pow x 3) (+ 1/6 (* 1/24 x))))
(+ 2 (* (pow x 3) (+ 1/6 (* 1/24 x))))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (+ 1/24 (+ (* 1/6 (/ 1 x)) (/ 2 (pow x 4)))))
(* (pow x 4) (+ 1/24 (+ (* 1/6 (/ 1 x)) (/ 2 (pow x 4)))))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (+ 1/24 (+ (* 1/6 (/ 1 x)) (/ 2 (pow x 4)))))
(* (pow x 4) (+ 1/24 (+ (* 1/6 (/ 1 x)) (/ 2 (pow x 4)))))
1
(+ 1 (* -1/2 x))
(+ 1 (* x (- (* 1/4 x) 1/2)))
(+ 1 (* x (- (* x (+ 1/4 (* -1/8 x))) 1/2)))
(/ 2 x)
(/ (- 2 (* 4 (/ 1 x))) x)
(/ (- (+ 2 (/ 8 (pow x 2))) (* 4 (/ 1 x))) x)
(/ (- (+ 2 (/ 8 (pow x 2))) (+ (* 4 (/ 1 x)) (* 16 (/ 1 (pow x 3))))) x)
(/ 2 x)
(* -1 (/ (- (* 4 (/ 1 x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 x)) 4) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 x)) 8) x)) 4) x)) 2) x))
2
(+ 2 x)
(+ 2 x)
(+ 2 x)
x
(* x (+ 1 (* 2 (/ 1 x))))
(* x (+ 1 (* 2 (/ 1 x))))
(* x (+ 1 (* 2 (/ 1 x))))
x
(* x (+ 1 (* 2 (/ 1 x))))
(* x (+ 1 (* 2 (/ 1 x))))
(* x (+ 1 (* 2 (/ 1 x))))
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
-1/2
(- (* 1/24 (pow x 2)) 1/2)
(- (* 1/24 (pow x 2)) 1/2)
(- (* 1/24 (pow x 2)) 1/2)
(* 1/24 (pow x 2))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 2))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
1
(+ 1 (* -1/2 x))
(+ 1 (* x (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* x (- (* 1/24 (pow x 2)) 1/2)))
(* 1/24 (pow x 3))
(* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (- (+ 1/24 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (- (+ 1/24 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24)))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) (+ 1/24 (/ 1 (pow x 3))))))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) (+ 1/24 (/ 1 (pow x 3))))))
(/ 48 (pow x 4))
(/ 48 (pow x 4))
(/ 48 (pow x 4))
(/ 48 (pow x 4))
(/ 48 (pow x 4))
(/ 48 (pow x 4))
(/ 48 (pow x 4))
(/ 48 (pow x 4))
(/ 48 (pow x 4))
(/ 48 (pow x 4))
(/ 48 (pow x 4))
(/ 48 (pow x 4))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1
(+ 1 (* -1/48 (pow x 4)))
(+ 1 (* (pow x 4) (- (* 1/2304 (pow x 4)) 1/48)))
(+ 1 (* (pow x 4) (- (* (pow x 4) (+ 1/2304 (* -1/110592 (pow x 4)))) 1/48)))
(/ 48 (pow x 4))
(/ (- 48 (* 2304 (/ 1 (pow x 4)))) (pow x 4))
(/ (- (+ 48 (/ 110592 (pow x 8))) (* 2304 (/ 1 (pow x 4)))) (pow x 4))
(/ (- (+ 48 (/ 110592 (pow x 8))) (+ (* 2304 (/ 1 (pow x 4))) (* 5308416 (/ 1 (pow x 12))))) (pow x 4))
(/ 48 (pow x 4))
(/ (- 48 (* 2304 (/ 1 (pow x 4)))) (pow x 4))
(/ (- (+ 48 (/ 110592 (pow x 8))) (* 2304 (/ 1 (pow x 4)))) (pow x 4))
(/ (- (+ 48 (/ 110592 (pow x 8))) (+ (* 2304 (/ 1 (pow x 4))) (* 5308416 (/ 1 (pow x 12))))) (pow x 4))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
2
(+ 2 (* 1/24 (pow x 4)))
(+ 2 (* 1/24 (pow x 4)))
(+ 2 (* 1/24 (pow x 4)))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 2 (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/24 (* 2 (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/24 (* 2 (/ 1 (pow x 4)))))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 2 (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/24 (* 2 (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/24 (* 2 (/ 1 (pow x 4)))))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1/12 (pow x 3)))
(fma.f64 x (.f64 #s(literal -1/12 binary64) (.f64 x x)) #s(literal 1 binary64))
(+ 1 (* (pow x 3) (- (* -1/48 x) 1/12)))
(fma.f64 x (.f64 (fma.f64 x #s(literal -1/48 binary64) #s(literal -1/12 binary64)) (.f64 x x)) #s(literal 1 binary64))
(+ 1 (* (pow x 3) (- (* x (- (* 1/144 (pow x 2)) 1/48)) 1/12)))
(fma.f64 (.f64 x x) (.f64 x (fma.f64 x (fma.f64 #s(literal 1/144 binary64) (*.f64 x x) #s(literal -1/48 binary64)) #s(literal -1/12 binary64))) #s(literal 1 binary64))
(/ 48 (pow x 4))
(/.f64 #s(literal 48 binary64) (.f64 (.f64 x x) (*.f64 x x)))
(/ (- 48 (* 192 (/ 1 x))) (pow x 4))
(/.f64 (+.f64 #s(literal 48 binary64) (/.f64 #s(literal -192 binary64) x)) (.f64 (.f64 x x) (*.f64 x x)))
(/ (- (+ 48 (/ 768 (pow x 2))) (* 192 (/ 1 x))) (pow x 4))
(/.f64 (+.f64 #s(literal 48 binary64) (/.f64 (+.f64 (/.f64 #s(literal 768 binary64) x) #s(literal -192 binary64)) x)) (.f64 (.f64 x x) (*.f64 x x)))
(/ (- (+ 48 (/ 768 (pow x 2))) (+ (* 192 (/ 1 x)) (* 3072 (/ 1 (pow x 3))))) (pow x 4))
(/.f64 (+.f64 #s(literal 48 binary64) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 768 binary64) (/.f64 #s(literal 3072 binary64) x)) x) #s(literal -192 binary64)) x)) (.f64 (.f64 x x) (*.f64 x x)))
(/ 48 (pow x 4))
(/.f64 #s(literal 48 binary64) (.f64 (.f64 x x) (*.f64 x x)))
(/ (- 48 (* 192 (/ 1 x))) (pow x 4))
(/.f64 (+.f64 #s(literal 48 binary64) (/.f64 #s(literal -192 binary64) x)) (.f64 (.f64 x x) (*.f64 x x)))
(/ (+ 48 (* -1 (/ (- 192 (* 768 (/ 1 x))) x))) (pow x 4))
(/.f64 (+.f64 #s(literal 48 binary64) (/.f64 (+.f64 (/.f64 #s(literal 768 binary64) x) #s(literal -192 binary64)) x)) (.f64 (.f64 x x) (*.f64 x x)))
(/ (+ 48 (* -1 (/ (+ 192 (* -1 (/ (- 768 (* 3072 (/ 1 x))) x))) x))) (pow x 4))
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simplify294.0ms (3.1%)

Memory

8.8MiB live, 210.5MiB allocated

Algorithm

1×	egg-herbie

Rules

2× 1-exp

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1351	16343
1	1352	16343
0	1352	16343

Stop Event

1×	saturated
1×	saturated

Counts

571 → 0

Calls

Call 1

Inputs
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Outputs
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(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -2 binary64))) (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -2 binary64)))) (.f64 (/.f64 #s(literal 4 binary64) (fma.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -2 binary64))))) (+.f64 (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -2 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64))
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eval67.0ms (0.7%)

Memory: 14.8MiB live, 91.1MiB allocated
Compiler: Compiled 4 925 to 138 computations (97.2% saved)

prune74.0ms (0.8%)

Memory

-18.9MiB live, 62.8MiB allocated

Pruning

26 alts after pruning (14 fresh and 12 done)

	Pruned	Kept	Total
New	444	8	452
Fresh	0	6	6
Picked	2	3	5
Done	0	9	9
Total	446	26	472

Accuracy

100.0%

Counts

472 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.1%	(fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓	49.9%	(fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
✓	50.1%	(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
✓	50.0%	(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
	39.5%	(/.f64 (+.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 6144 binary64) x) #s(literal -384 binary64)) x) x) (-.f64 #s(literal 48 binary64) (/.f64 #s(literal 192 binary64) x))) (.f64 x (.f64 x (*.f64 x x))))
	38.1%	(/.f64 (+.f64 #s(literal 48 binary64) (/.f64 (+.f64 #s(literal -192 binary64) (/.f64 #s(literal -384 binary64) x)) x)) (.f64 x (.f64 x (*.f64 x x))))
	38.1%	(/.f64 (+.f64 #s(literal 48 binary64) (/.f64 #s(literal -192 binary64) x)) (.f64 (.f64 x x) (*.f64 x x)))
	39.6%	(/.f64 #s(literal 48 binary64) (.f64 (.f64 x x) (*.f64 x x)))
✓	39.6%	(/.f64 #s(literal 48 binary64) (.f64 x (.f64 x (*.f64 x x))))
	36.1%	(/.f64 #s(literal 12 binary64) (.f64 x (.f64 x x)))
✓	86.8%	(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x) #s(literal 2 binary64)))
✓	82.9%	(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) x) #s(literal 2 binary64)))
	81.9%	(/.f64 #s(literal 2 binary64) (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 2 binary64)))
✓	86.6%	(/.f64 #s(literal 2 binary64) (fma.f64 x (.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 2 binary64)))
	86.5%	(/.f64 #s(literal 2 binary64) (fma.f64 x (.f64 (.f64 x x) (*.f64 x #s(literal 1/24 binary64))) #s(literal 2 binary64)))
✓	72.9%	(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
✓	100.0%	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	98.5%	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
✓	50.7%	(/.f64 #s(literal 2 binary64) (+.f64 x #s(literal 2 binary64)))
	39.7%	(/.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x))))
	39.7%	(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))))
	39.6%	(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64))))))
	26.0%	(/.f64 #s(literal 2 binary64) (*.f64 x x))
	5.3%	(/.f64 #s(literal 2 binary64) x)
	3.0%	(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
✓	50.4%	#s(literal 1 binary64)

Compiler

Compiled 598 to 297 computations (50.3% saved)

regimes29.0ms (0.3%)

Memory

8.8MiB live, 85.0MiB allocated

Counts

31 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) x)
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (+.f64 x #s(literal 2 binary64)))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 #s(literal 4 binary64) (*.f64 x x))
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 12 binary64) (.f64 x (.f64 x x)))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 48 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 #s(literal 48 binary64) (.f64 (.f64 x x) (*.f64 x x)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (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 2 binary64)))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64))))))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))))
(/.f64 #s(literal 2 binary64) (fma.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x))) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (.f64 (.f64 x x) (*.f64 x #s(literal 1/24 binary64))) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 2 binary64)))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 48 binary64) (/.f64 #s(literal -192 binary64) x)) (.f64 (.f64 x x) (*.f64 x x)))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x))))
(/.f64 (+.f64 #s(literal 48 binary64) (/.f64 (+.f64 #s(literal -192 binary64) (/.f64 #s(literal -384 binary64) x)) x)) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 (+.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 6144 binary64) x) #s(literal -384 binary64)) x) x) (-.f64 #s(literal 48 binary64) (/.f64 #s(literal 192 binary64) x))) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 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))))
(/.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))))

Calls

3 calls:

11.0ms	x
9.0ms	(+.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
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)

regimes33.0ms (0.3%)

Memory

-23.1MiB live, 73.1MiB allocated

Counts

30 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) x)
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (+.f64 x #s(literal 2 binary64)))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 #s(literal 4 binary64) (*.f64 x x))
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 12 binary64) (.f64 x (.f64 x x)))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 48 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 #s(literal 48 binary64) (.f64 (.f64 x x) (*.f64 x x)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (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 2 binary64)))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64))))))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))))
(/.f64 #s(literal 2 binary64) (fma.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x))) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (.f64 (.f64 x x) (*.f64 x #s(literal 1/24 binary64))) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 2 binary64)))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 48 binary64) (/.f64 #s(literal -192 binary64) x)) (.f64 (.f64 x x) (*.f64 x x)))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x))))
(/.f64 (+.f64 #s(literal 48 binary64) (/.f64 (+.f64 #s(literal -192 binary64) (/.f64 #s(literal -384 binary64) x)) x)) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 (+.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 6144 binary64) x) #s(literal -384 binary64)) x) x) (-.f64 #s(literal 48 binary64) (/.f64 #s(literal 192 binary64) x))) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 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))))

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

Calls

3 calls:

15.0ms	x
9.0ms	(+.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
99.4%	1	`x`
99.4%	1	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
99.4%	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes132.0ms (1.4%)

Memory

14.0MiB live, 53.3MiB allocated

Counts

28 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) x)
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (+.f64 x #s(literal 2 binary64)))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 #s(literal 4 binary64) (*.f64 x x))
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 12 binary64) (.f64 x (.f64 x x)))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 48 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 #s(literal 48 binary64) (.f64 (.f64 x x) (*.f64 x x)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (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 2 binary64)))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64))))))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))))
(/.f64 #s(literal 2 binary64) (fma.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x))) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (.f64 (.f64 x x) (*.f64 x #s(literal 1/24 binary64))) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 2 binary64)))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 48 binary64) (/.f64 #s(literal -192 binary64) x)) (.f64 (.f64 x x) (*.f64 x x)))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x))))
(/.f64 (+.f64 #s(literal 48 binary64) (/.f64 (+.f64 #s(literal -192 binary64) (/.f64 #s(literal -384 binary64) x)) x)) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 (+.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 6144 binary64) x) #s(literal -384 binary64)) x) x) (-.f64 #s(literal 48 binary64) (/.f64 #s(literal 192 binary64) x))) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))

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

Calls

3 calls:

115.0ms	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
8.0ms	x
7.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
98.5%	1	`x`
98.5%	1	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
98.5%	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes43.0ms (0.5%)

Memory

-21.1MiB live, 56.8MiB allocated

Counts

27 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) x)
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (+.f64 x #s(literal 2 binary64)))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 #s(literal 4 binary64) (*.f64 x x))
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 12 binary64) (.f64 x (.f64 x x)))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 48 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 #s(literal 48 binary64) (.f64 (.f64 x x) (*.f64 x x)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (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 2 binary64)))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64))))))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))))
(/.f64 #s(literal 2 binary64) (fma.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x))) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (.f64 (.f64 x x) (*.f64 x #s(literal 1/24 binary64))) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 2 binary64)))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 48 binary64) (/.f64 #s(literal -192 binary64) x)) (.f64 (.f64 x x) (*.f64 x x)))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x))))
(/.f64 (+.f64 #s(literal 48 binary64) (/.f64 (+.f64 #s(literal -192 binary64) (/.f64 #s(literal -384 binary64) x)) x)) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 (+.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 6144 binary64) x) #s(literal -384 binary64)) x) x) (-.f64 #s(literal 48 binary64) (/.f64 #s(literal 192 binary64) x))) (.f64 x (.f64 x (*.f64 x x))))

Outputs
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x) #s(literal 2 binary64)))

Calls

3 calls:

26.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
9.0ms	x
6.0ms	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Results

Accuracy	Segments	Branch
86.8%	1	`x`
86.8%	1	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
86.8%	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes21.0ms (0.2%)

Memory

10.0MiB live, 51.6MiB allocated

Counts

22 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) x)
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (+.f64 x #s(literal 2 binary64)))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 #s(literal 4 binary64) (*.f64 x x))
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 12 binary64) (.f64 x (.f64 x x)))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 48 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 #s(literal 48 binary64) (.f64 (.f64 x x) (*.f64 x x)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (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 2 binary64)))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64))))))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))))
(/.f64 #s(literal 2 binary64) (fma.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x))) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (.f64 (.f64 x x) (*.f64 x #s(literal 1/24 binary64))) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 2 binary64)))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))

Outputs
(/.f64 #s(literal 2 binary64) (fma.f64 x (.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 2 binary64)))

Calls

3 calls:

7.0ms	(+.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
86.6%	1	`x`
86.6%	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
86.6%	1	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes18.0ms (0.2%)

Memory

6.4MiB live, 45.8MiB allocated

Counts

20 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) x)
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (+.f64 x #s(literal 2 binary64)))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 #s(literal 4 binary64) (*.f64 x x))
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 12 binary64) (.f64 x (.f64 x x)))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 48 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 #s(literal 48 binary64) (.f64 (.f64 x x) (*.f64 x x)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (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 2 binary64)))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64))))))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))))
(/.f64 #s(literal 2 binary64) (fma.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x))) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (.f64 (.f64 x x) (*.f64 x #s(literal 1/24 binary64))) #s(literal 2 binary64)))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
86.5%	1	`x`
86.5%	1	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
86.5%	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes17.0ms (0.2%)

Memory

11.2MiB live, 50.1MiB allocated

Counts

18 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) x)
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (+.f64 x #s(literal 2 binary64)))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 #s(literal 4 binary64) (*.f64 x x))
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 12 binary64) (.f64 x (.f64 x x)))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 48 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 #s(literal 48 binary64) (.f64 (.f64 x x) (*.f64 x x)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (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 2 binary64)))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64))))))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))))

Outputs

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

(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
86.9%	2	`x`
86.9%	2	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
86.9%	2	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes19.0ms (0.2%)

Memory

-29.7MiB live, 50.5MiB allocated

Counts

17 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) x)
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (+.f64 x #s(literal 2 binary64)))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 #s(literal 4 binary64) (*.f64 x x))
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 12 binary64) (.f64 x (.f64 x x)))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 48 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 #s(literal 48 binary64) (.f64 (.f64 x x) (*.f64 x x)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (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 2 binary64)))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64))))))

Outputs
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 48 binary64) (.f64 x (.f64 x (*.f64 x x))))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
86.9%	2	`x`
86.9%	2	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
86.9%	2	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes13.0ms (0.1%)

Memory

3.2MiB live, 41.2MiB allocated

Counts

12 → 2

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	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
83.2%	2	`x`
83.2%	2	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
83.2%	2	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes12.0ms (0.1%)

Memory

2.5MiB live, 42.0MiB allocated

Counts

11 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) x)
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (+.f64 x #s(literal 2 binary64)))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 #s(literal 4 binary64) (*.f64 x x))
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 12 binary64) (.f64 x (.f64 x x)))

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

Calls

3 calls:

5.0ms	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
83.2%	2	`x`
83.2%	2	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
83.2%	2	`(/.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

-5.8MiB live, 33.7MiB allocated

Counts

10 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) x)
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (+.f64 x #s(literal 2 binary64)))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 #s(literal 4 binary64) (*.f64 x x))
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))

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

Calls

3 calls:

4.0ms	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
72.9%	1	`x`
72.9%	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
72.9%	1	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes9.0ms (0.1%)

Memory

29.4MiB live, 29.4MiB allocated

Counts

8 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) x)
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (+.f64 x #s(literal 2 binary64)))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 #s(literal 4 binary64) (*.f64 x x))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
72.9%	2	`x`
72.9%	2	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
72.9%	2	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes9.0ms (0.1%)

Memory

-21.0MiB live, 20.1MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) x)
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (+.f64 x #s(literal 2 binary64)))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))

Outputs
(/.f64 #s(literal 2 binary64) (+.f64 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
50.7%	1	`x`
50.7%	1	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
50.7%	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes6.0ms (0.1%)

Memory

16.9MiB live, 16.9MiB allocated

Accuracy

Total -30.0b remaining (-94.5%)

Threshold costs -30b (-94.5%)

Counts

4 → 1

Calls

Call 1

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

Outputs
#s(literal 1 binary64)

Calls

3 calls:

2.0ms	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
50.4%	1	`x`
50.4%	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
50.4%	1	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.0107150665956235	6.850941642081159

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.850941642081159	1.988246862956168e+33

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	0.2919306723787018	0.9946710169065549

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0059113067209156e-33	0.2919306723787018

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.0107150665956235	6.850941642081159

Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify9.0ms (0.1%)

Memory

-15.7MiB live, 22.9MiB allocated

Algorithm

1×	egg-herbie

Rules

20×	`*-commutative_binary64`
10×	`+-commutative_binary64`
2×	`sub-neg_binary64`
2×	`1-exp_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	211
1	81	211
2	83	211
3	84	211

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (.f64 #s(literal 1/24 binary64) (.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 x (.f64 x (fma.f64 x (.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))))
(if (<=.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 10 binary64)) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 48 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(if (<=.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #s(literal 1/2 binary64)) (/.f64 #s(literal 12 binary64) (.f64 x (.f64 x x))) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #s(literal 1461501637330903/730750818665451459101842416358141509827966271488 binary64)) (/.f64 #s(literal 12 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
(if (<=.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 4 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (.f64 x x)))
(/.f64 #s(literal 2 binary64) (+.f64 x #s(literal 2 binary64)))
#s(literal 1 binary64)

Outputs
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (.f64 #s(literal 1/24 binary64) (.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 x (.f64 x (fma.f64 x (.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))))
(if (<=.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 10 binary64)) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 48 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(if (<=.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #s(literal 1/2 binary64)) (/.f64 #s(literal 12 binary64) (.f64 x (.f64 x x))) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #s(literal 1461501637330903/730750818665451459101842416358141509827966271488 binary64)) (/.f64 #s(literal 12 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
(if (<=.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 4 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (.f64 x x)))
(/.f64 #s(literal 2 binary64) (+.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) x))
#s(literal 1 binary64)

soundness2.6s (27.7%)

Memory

10.8MiB live, 927.8MiB allocated

Rules

12 022×	`lower-fma.f64`
12 022×	`lower-fma.f32`
11 944×	`lower-fma.f64`
11 944×	`lower-fma.f32`
9 552×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	217	1233
1	621	1222
2	1654	1215
3	4867	1204
0	8791	1116
0	180	1391
1	478	1379
2	1297	1346
3	4088	1302
0	8103	1203
0	53	221
1	123	220
2	244	220
3	577	220
4	988	220
5	1422	220
6	2158	220
7	3069	220
8	3907	220
9	4740	220
10	5330	220
11	5766	220
12	5776	220
13	5776	220
14	5946	220
15	5949	220
16	5949	220
17	6920	220
18	7372	220
19	7372	220
20	7372	220
21	7372	220
22	7379	220
0	7379	204
0	189	1196
1	531	1188
2	1241	1180
3	3326	1168
0	8235	1084

Stop Event

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

Compiler

Compiled 614 to 338 computations (45% saved)

preprocess73.0ms (0.8%)

Memory: -11.9MiB live, 182.8MiB allocated
Remove: (abs x)
Compiler: Compiled 496 to 182 computations (63.3% 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	20	115
0	39	115
1	72	115
2	141	115
3	233	115
4	286	115
5	319	115
6	319	115
7	402	115
8	403	115
0	403	115

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	20	115
0	39	115
1	72	115
2	141	115
3	233	115
4	286	115
5	319	115
6	319	115
7	402	115
8	403	115
0	403	115

analyze0.0ms (0%)

sample661.0ms (7%)

preprocess35.0ms (0.4%)

explain81.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.1%)

localize46.0ms (0.5%)

series3.0ms (0%)

rewrite314.0ms (3.3%)

simplify493.0ms (5.2%)

simplify24.0ms (0.3%)

eval10.0ms (0.1%)

prune7.0ms (0.1%)

simplify357.0ms (3.8%)

localize218.0ms (2.3%)

series25.0ms (0.3%)

rewrite393.0ms (4.1%)

simplify417.0ms (4.4%)

simplify346.0ms (3.6%)

eval51.0ms (0.5%)

prune13.0ms (0.1%)

simplify31.0ms (0.3%)

localize141.0ms (1.5%)

series8.0ms (0.1%)

rewrite576.0ms (6.1%)

simplify559.0ms (5.9%)

simplify289.0ms (3%)

eval39.0ms (0.4%)

prune18.0ms (0.2%)

simplify17.0ms (0.2%)

localize86.0ms (0.9%)

series13.0ms (0.1%)

rewrite390.0ms (4.1%)

simplify312.0ms (3.3%)

simplify294.0ms (3.1%)

eval67.0ms (0.7%)

prune74.0ms (0.8%)

regimes29.0ms (0.3%)

regimes33.0ms (0.3%)

regimes132.0ms (1.4%)

regimes43.0ms (0.5%)

regimes21.0ms (0.2%)

regimes18.0ms (0.2%)

regimes17.0ms (0.2%)

regimes19.0ms (0.2%)

regimes13.0ms (0.1%)

regimes12.0ms (0.1%)

regimes11.0ms (0.1%)

regimes9.0ms (0.1%)

regimes9.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify9.0ms (0.1%)

soundness2.6s (27.7%)

preprocess73.0ms (0.8%)

end0.0ms (0%)

Profiling

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

Iter	Nodes	Cost
0	20	115
0	39	115
1	72	115
2	141	115
3	233	115
4	286	115
5	319	115
6	319	115
7	402	115
8	403	115
0	403	115