Metrics for Hyperbolic secant

analyze0.0ms (0%)

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 8 computations (20% saved)

Precisions

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

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

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

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

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

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

sample732.0ms (8.4%)

Results

511.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 306.0ms

ival-exp: 116.0ms (37.9% of total)

ival-div: 72.0ms (23.5% of total)

ival-add: 58.0ms (19% of total)

ival-neg: 47.0ms (15.4% of total)

const: 10.0ms (3.3% of total)

backward-pass: 3.0ms (1% of total)

Bogosity

preprocess27.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

128×	`fmsub-define`
120×	`fnmsub-define`
112×	`fnmadd-define`
80×	`fma-define`
80×	`fmm-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	24
1	30	24
2	61	24
3	108	24
4	191	24
5	294	24
6	384	24
7	482	24
8	523	24
9	541	24
10	565	24
11	573	24
0	7	8
1	14	8
2	21	8
3	25	8
4	34	8
5	41	8
6	49	8
7	57	8
8	60	8
9	61	8
0	61	8

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

Symmetry

(abs x)

explain69.0ms (0.8%)

FPErrors

Click to see full error table

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

Results

37.0ms

512×

valid

Compiler

Compiled 59 to 23 computations (61% saved)

Precisions

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

ival-exp: 7.0ms (42.2% of total)

ival-div: 4.0ms (24.1% of total)

ival-add: 3.0ms (18.1% of total)

ival-neg: 2.0ms (12.1% of total)

const: 1.0ms (6% of total)

backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 10 to 7 computations (30% saved)

prune1.0ms (0%)

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%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(exp.f64 (neg.f64 x))
✓	cost-diff	-64	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
✓	cost-diff	-64	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	cost-diff	0	(exp.f64 x)

Rules

16×	`-lowering-.f32`
16×	`-lowering-.f64`
12×	`fma-lowering-fma.f32`
12×	`fma-define`
12×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	23
1	14	23
2	21	23
3	25	23
4	34	23
5	41	23
6	49	23
7	57	23
8	60	23
9	61	23
0	61	23

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

Outputs
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
2
#s(literal 2 binary64)
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(exp x)
(exp.f64 x)
x
(exp (neg x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(neg x)
(-.f64 #s(literal 0 binary64) x)

localize28.0ms (0.3%)

Localize:

Found 4 expressions of interest:

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

Results

20.0ms

256×

valid

Compiler

Compiled 25 to 8 computations (68% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-div: 4.0ms (38.7% of total)

ival-exp: 4.0ms (38.7% of total)

ival-add: 1.0ms (9.7% of total)

ival-neg: 1.0ms (9.7% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series3.0ms (0%)

Counts

4 → 48

Calls

Call 1

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

Outputs
#<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 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))>
#<alt (/ 2 (+ (exp x) (exp (neg x))))>
#<alt (/ 2 (+ (exp x) (exp (neg x))))>
#<alt (/ 2 (+ (exp x) (exp (neg x))))>
#<alt (/ 2 (+ (exp x) (exp (neg x))))>
#<alt (/ 2 (+ (exp x) (exp (* -1 x))))>
#<alt (/ 2 (+ (exp x) (exp (* -1 x))))>
#<alt (/ 2 (+ (exp x) (exp (* -1 x))))>
#<alt (/ 2 (+ (exp x) (exp (* -1 x))))>
#<alt 2>
#<alt (+ 2 (pow x 2))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))>
#<alt (+ (exp x) (exp (neg x)))>
#<alt (+ (exp x) (exp (neg x)))>
#<alt (+ (exp x) (exp (neg x)))>
#<alt (+ (exp x) (exp (neg x)))>
#<alt (+ (exp x) (exp (* -1 x)))>
#<alt (+ (exp x) (exp (* -1 x)))>
#<alt (+ (exp x) (exp (* -1 x)))>
#<alt (+ (exp x) (exp (* -1 x)))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>

Calls

12 calls:

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

rewrite347.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

3916×	`-lowering-.f32`
3916×	`-lowering-.f64`
2488×	`/-lowering-/.f32`
2488×	`/-lowering-/.f64`
1922×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	37	12
2	275	12
3	2602	12
0	9652	12

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 304

Calls

Call 1

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

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

simplify226.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

2314×	`fma-lowering-fma.f32`
2314×	`fma-lowering-fma.f64`
2106×	`sum3-define`
1968×	`sum4-define`
1762×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	66	279
1	170	260
2	460	256
3	1283	256
4	2683	256
5	4419	256
6	7120	256
0	8043	256

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

Inputs
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 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))

Outputs
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 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 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64))))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 5/24 binary64)))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 5/24 binary64) (.f64 (.f64 x x) #s(literal -61/720 binary64))))))))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
2
#s(literal 2 binary64)
(+ 2 (pow x 2))
(+.f64 #s(literal 2 binary64) (*.f64 x x))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))))
(exp (neg x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp (neg x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp (neg x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp (neg x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp (* -1 x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp (* -1 x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp (* -1 x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp (* -1 x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))

eval45.0ms (0.5%)

Compiler: Compiled 6779 to 1067 computations (84.3% saved)

prune49.0ms (0.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	344	8	352
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	345	8	353

Accuracy

100.0%

Counts

353 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	88.1%	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))))
	93.4%	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))))))
	75.1%	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
▶	100.0%	(/.f64 #s(literal 1 binary64) (cosh.f64 x))
▶	43.8%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 5/24 binary64)))))
▶	43.7%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 5/24 binary64) (.f64 (.f64 x x) #s(literal -61/720 binary64))))))))
▶	1.1%	(.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) (exp.f64 (*.f64 x #s(literal 2 binary64))))) (-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x)))
▶	44.5%	#s(literal 1 binary64)

Compiler

Compiled 214 to 144 computations (32.7% saved)

simplify166.0ms (1.9%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Rules

2262×	`fnmadd-define`
1932×	`sum3-define`
1596×	`fma-define`
1518×	`fma-lowering-fma.f32`
1518×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	207
1	87	193
2	252	193
3	586	193
4	1132	193
5	1706	193
6	2444	193
7	4455	193
0	8254	193

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ 1 (cosh x))
1
(cosh x)
x
1
(+ 1 (* (* x x) (+ -1/2 (* (* x x) 5/24))))
1
(* (* x x) (+ -1/2 (* (* x x) 5/24)))
(* x x)
x
(+ -1/2 (* (* x x) 5/24))
-1/2
(* (* x x) 5/24)
5/24
(+ 1 (* (* x x) (+ -1/2 (* x (* x (+ 5/24 (* (* x x) -61/720)))))))
1
(* (* x x) (+ -1/2 (* x (* x (+ 5/24 (* (* x x) -61/720))))))
(* x x)
x
(+ -1/2 (* x (* x (+ 5/24 (* (* x x) -61/720)))))
-1/2
(* x (* x (+ 5/24 (* (* x x) -61/720))))
(* x (+ 5/24 (* (* x x) -61/720)))
(+ 5/24 (* (* x x) -61/720))
5/24
(* (* x x) -61/720)
-61/720
(* (/ 2 (- (exp (* x -2)) (exp (* x 2)))) (- (/ 1 (exp x)) (exp x)))
(/ 2 (- (exp (* x -2)) (exp (* x 2))))
2
(- (exp (* x -2)) (exp (* x 2)))
(exp (* x -2))
(* x -2)
x
-2
(exp (* x 2))
(* x 2)
(- (/ 1 (exp x)) (exp x))
(/ 1 (exp x))
1
(exp x)

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

localize253.0ms (2.9%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (exp.f64 x))
✓	accuracy	98.8%	(.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) (exp.f64 (*.f64 x #s(literal 2 binary64))))) (-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x)))
✓	accuracy	60.0%	(-.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) (exp.f64 (.f64 x #s(literal 2 binary64))))
✓	accuracy	60.0%	(-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x))
✓	accuracy	100.0%	(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 5/24 binary64) (.f64 (.f64 x x) #s(literal -61/720 binary64)))))))
✓	accuracy	99.9%	(.f64 x (.f64 x (+.f64 #s(literal 5/24 binary64) (.f64 (.f64 x x) #s(literal -61/720 binary64)))))
✓	accuracy	99.9%	(.f64 (.f64 x x) #s(literal -61/720 binary64))
✓	accuracy	99.8%	(.f64 x (+.f64 #s(literal 5/24 binary64) (.f64 (*.f64 x x) #s(literal -61/720 binary64))))
✓	accuracy	100.0%	(+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 5/24 binary64)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 5/24 binary64))))
✓	accuracy	99.9%	(.f64 (.f64 x x) #s(literal 5/24 binary64))
✓	accuracy	100.0%	(cosh.f64 x)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (cosh.f64 x))

Results

82.0ms	96×	1	valid
62.0ms	142×	0	unsamplable
23.0ms	8×	3	valid
5.0ms	4×	2	valid
2.0ms	6×	0	valid

Compiler

Compiled 213 to 32 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 114.0ms

ival-mult: 40.0ms (35.2% of total)

ival-exp: 25.0ms (22% of total)

...c/correct-round.rkt:119:19: 13.0ms (11.5% of total)

ival-add: 10.0ms (8.8% of total)

ival-div: 8.0ms (7% of total)

backward-pass: 8.0ms (7% of total)

ival-cosh: 5.0ms (4.4% of total)

ival-sub: 4.0ms (3.5% of total)

const: 1.0ms (0.9% of total)

series24.0ms (0.3%)

Counts

19 → 228

Calls

Call 1

Inputs
#<alt (/ 1 (cosh x))>
#<alt (cosh x)>
#<alt (+ 1 (* (* x x) (+ -1/2 (* (* x x) 5/24))))>
#<alt (* (* x x) (+ -1/2 (* (* x x) 5/24)))>
#<alt (* x x)>
#<alt (+ -1/2 (* (* x x) 5/24))>
#<alt (+ 1 (* (* x x) (+ -1/2 (* x (* x (+ 5/24 (* (* x x) -61/720)))))))>
#<alt (* (* x x) (+ -1/2 (* x (* x (+ 5/24 (* (* x x) -61/720))))))>
#<alt (+ -1/2 (* x (* x (+ 5/24 (* (* x x) -61/720)))))>
#<alt (* (/ 2 (- (exp (* x -2)) (exp (* x 2)))) (- (/ 1 (exp x)) (exp x)))>
#<alt (/ 2 (- (exp (* x -2)) (exp (* x 2))))>
#<alt (- (exp (* x -2)) (exp (* x 2)))>
#<alt (exp (* x -2))>
#<alt (* (* x x) 5/24)>
#<alt (* x (+ 5/24 (* (* x x) -61/720)))>
#<alt (* (* x x) -61/720)>
#<alt (* x (* x (+ 5/24 (* (* x x) -61/720))))>
#<alt (- (/ 1 (exp x)) (exp x))>
#<alt (/ 1 (exp 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) (/ 1 (exp x))))>
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 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 (pow x 2))>
#<alt (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))>
#<alt (* (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 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 5/24 (* 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 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt -1/2>
#<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) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))>
#<alt (* -61/720 (pow x 6))>
#<alt (* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) 61/720))>
#<alt (* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 5/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 61/720 (/ 1/2 (pow x 4)))))>
#<alt (* -61/720 (pow x 6))>
#<alt (* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) 61/720))>
#<alt (* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 5/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 61/720 (/ 1/2 (pow x 4)))))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2))>
#<alt (* (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))) (+ 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))) (+ 61/720 (/ 1/2 (pow x 4)))))>
#<alt -1/2>
#<alt (- (* 5/24 (pow x 2)) 1/2)>
#<alt (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)>
#<alt (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)>
#<alt (* -61/720 (pow x 4))>
#<alt (* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 61/720))>
#<alt (* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))>
#<alt (* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))>
#<alt (* -61/720 (pow x 4))>
#<alt (* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 61/720))>
#<alt (* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))>
#<alt (* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))>
#<alt 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 (/ (- (/ 1 (exp x)) (exp x)) (- (exp (* -2 x)) (exp (* 2 x)))))>
#<alt (* 2 (/ (- (/ 1 (exp x)) (exp x)) (- (exp (* -2 x)) (exp (* 2 x)))))>
#<alt (* 2 (/ (- (/ 1 (exp x)) (exp x)) (- (exp (* -2 x)) (exp (* 2 x)))))>
#<alt (* 2 (/ (- (/ 1 (exp x)) (exp x)) (- (exp (* -2 x)) (exp (* 2 x)))))>
#<alt (* 2 (/ (- (/ 1 (exp x)) (exp x)) (- (exp (* -2 x)) (exp (* 2 x)))))>
#<alt (* 2 (/ (- (/ 1 (exp x)) (exp x)) (- (exp (* -2 x)) (exp (* 2 x)))))>
#<alt (* 2 (/ (- (/ 1 (exp x)) (exp x)) (- (exp (* -2 x)) (exp (* 2 x)))))>
#<alt (* 2 (/ (- (/ 1 (exp x)) (exp x)) (- (exp (* -2 x)) (exp (* 2 x)))))>
#<alt (/ -1/2 x)>
#<alt (/ (- (* 1/3 (pow x 2)) 1/2) x)>
#<alt (/ (- (* (pow x 2) (+ 1/3 (* -7/45 (pow x 2)))) 1/2) x)>
#<alt (/ (- (* (pow x 2) (+ 1/3 (* (pow x 2) (- (* 62/945 (pow x 2)) 7/45)))) 1/2) x)>
#<alt (/ 2 (- (exp (* -2 x)) (exp (* 2 x))))>
#<alt (/ 2 (- (exp (* -2 x)) (exp (* 2 x))))>
#<alt (/ 2 (- (exp (* -2 x)) (exp (* 2 x))))>
#<alt (/ 2 (- (exp (* -2 x)) (exp (* 2 x))))>
#<alt (/ 2 (- (exp (* -2 x)) (exp (* 2 x))))>
#<alt (/ 2 (- (exp (* -2 x)) (exp (* 2 x))))>
#<alt (/ 2 (- (exp (* -2 x)) (exp (* 2 x))))>
#<alt (/ 2 (- (exp (* -2 x)) (exp (* 2 x))))>
#<alt (* -4 x)>
#<alt (* x (- (* -8/3 (pow x 2)) 4))>
#<alt (* x (- (* (pow x 2) (- (* -8/15 (pow x 2)) 8/3)) 4))>
#<alt (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -16/315 (pow x 2)) 8/15)) 8/3)) 4))>
#<alt (- (exp (* -2 x)) (exp (* 2 x)))>
#<alt (- (exp (* -2 x)) (exp (* 2 x)))>
#<alt (- (exp (* -2 x)) (exp (* 2 x)))>
#<alt (- (exp (* -2 x)) (exp (* 2 x)))>
#<alt (- (exp (* -2 x)) (exp (* 2 x)))>
#<alt (- (exp (* -2 x)) (exp (* 2 x)))>
#<alt (- (exp (* -2 x)) (exp (* 2 x)))>
#<alt (- (exp (* -2 x)) (exp (* 2 x)))>
#<alt 1>
#<alt (+ 1 (* -2 x))>
#<alt (+ 1 (* x (- (* 2 x) 2)))>
#<alt (+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))>
#<alt (exp (* -2 x))>
#<alt (exp (* -2 x))>
#<alt (exp (* -2 x))>
#<alt (exp (* -2 x))>
#<alt (exp (* -2 x))>
#<alt (exp (* -2 x))>
#<alt (exp (* -2 x))>
#<alt (exp (* -2 x))>
#<alt (* 5/24 (pow x 2))>
#<alt (* 5/24 (pow x 2))>
#<alt (* 5/24 (pow x 2))>
#<alt (* 5/24 (pow x 2))>
#<alt (* 5/24 (pow x 2))>
#<alt (* 5/24 (pow x 2))>
#<alt (* 5/24 (pow x 2))>
#<alt (* 5/24 (pow x 2))>
#<alt (* 5/24 (pow x 2))>
#<alt (* 5/24 (pow x 2))>
#<alt (* 5/24 (pow x 2))>
#<alt (* 5/24 (pow x 2))>
#<alt (* 5/24 x)>
#<alt (* x (+ 5/24 (* -61/720 (pow x 2))))>
#<alt (* x (+ 5/24 (* -61/720 (pow x 2))))>
#<alt (* x (+ 5/24 (* -61/720 (pow x 2))))>
#<alt (* -61/720 (pow x 3))>
#<alt (* (pow x 3) (- (* 5/24 (/ 1 (pow x 2))) 61/720))>
#<alt (* (pow x 3) (- (* 5/24 (/ 1 (pow x 2))) 61/720))>
#<alt (* (pow x 3) (- (* 5/24 (/ 1 (pow x 2))) 61/720))>
#<alt (* -61/720 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 61/720 (* 5/24 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 61/720 (* 5/24 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 61/720 (* 5/24 (/ 1 (pow x 2))))))>
#<alt (* -61/720 (pow x 2))>
#<alt (* -61/720 (pow x 2))>
#<alt (* -61/720 (pow x 2))>
#<alt (* -61/720 (pow x 2))>
#<alt (* -61/720 (pow x 2))>
#<alt (* -61/720 (pow x 2))>
#<alt (* -61/720 (pow x 2))>
#<alt (* -61/720 (pow x 2))>
#<alt (* -61/720 (pow x 2))>
#<alt (* -61/720 (pow x 2))>
#<alt (* -61/720 (pow x 2))>
#<alt (* -61/720 (pow x 2))>
#<alt (* 5/24 (pow x 2))>
#<alt (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2))))>
#<alt (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2))))>
#<alt (* (pow x 2) (+ 5/24 (* -61/720 (pow x 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))>
#<alt (* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 61/720))>
#<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))>
#<alt (* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 61/720))>
#<alt (* -2 x)>
#<alt (* x (- (* -1/3 (pow x 2)) 2))>
#<alt (* x (- (* (pow x 2) (- (* -1/60 (pow x 2)) 1/3)) 2))>
#<alt (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1/2520 (pow x 2)) 1/60)) 1/3)) 2))>
#<alt (- (/ 1 (exp x)) (exp x))>
#<alt (- (/ 1 (exp x)) (exp x))>
#<alt (- (/ 1 (exp x)) (exp x))>
#<alt (- (/ 1 (exp x)) (exp x))>
#<alt (- (/ 1 (exp x)) (exp x))>
#<alt (- (/ 1 (exp x)) (exp x))>
#<alt (- (/ 1 (exp x)) (exp x))>
#<alt (- (/ 1 (exp x)) (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 (/ 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))>

Calls

57 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(* (* x x) -61/720)
3.0ms	x	@	-inf	(* x (+ 5/24 (* (* x x) -61/720)))
2.0ms	x	@	inf	(/ 1 (cosh x))
2.0ms	x	@	inf	(* (* x x) (+ -1/2 (* x (* x (+ 5/24 (* (* x x) -61/720))))))
1.0ms	x	@	inf	(* (/ 2 (- (exp (* x -2)) (exp (* x 2)))) (- (/ 1 (exp x)) (exp x)))

rewrite417.0ms (4.8%)

Algorithm

1×	batch-egg-rewrite

Rules

3112×	`-lowering-.f32`
3112×	`-lowering-.f64`
2528×	`/-lowering-/.f32`
2528×	`/-lowering-/.f64`
2452×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	169
1	192	156
2	1752	155
0	8682	155

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 571

Calls

Call 1

Inputs
(/ 1 (cosh x))
(cosh x)
(+ 1 (* (* x x) (+ -1/2 (* (* x x) 5/24))))
(* (* x x) (+ -1/2 (* (* x x) 5/24)))
(* x x)
(+ -1/2 (* (* x x) 5/24))
(+ 1 (* (* x x) (+ -1/2 (* x (* x (+ 5/24 (* (* x x) -61/720)))))))
(* (* x x) (+ -1/2 (* x (* x (+ 5/24 (* (* x x) -61/720))))))
(+ -1/2 (* x (* x (+ 5/24 (* (* x x) -61/720)))))
(* (/ 2 (- (exp (* x -2)) (exp (* x 2)))) (- (/ 1 (exp x)) (exp x)))
(/ 2 (- (exp (* x -2)) (exp (* x 2))))
(- (exp (* x -2)) (exp (* x 2)))
(exp (* x -2))
(* (* x x) 5/24)
(* x (+ 5/24 (* (* x x) -61/720)))
(* (* x x) -61/720)
(* x (* x (+ 5/24 (* (* x x) -61/720))))
(- (/ 1 (exp x)) (exp x))
(/ 1 (exp x))

Outputs
(exp.f64 (*.f64 (log.f64 (cosh.f64 x)) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (cosh.f64 x)))
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (cosh.f64 x))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (cosh.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (cosh.f64 x)))))
(pow.f64 (cosh.f64 x) #s(literal -1 binary64))
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (cosh.f64 x))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (cosh.f64 x))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cosh.f64 x)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64))
(*.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (cosh.f64 x)) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (cosh.f64 x) #s(literal -1 binary64)))
(cosh.f64 x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (cosh.f64 x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (cosh.f64 x)) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -2 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (cosh.f64 x))) #s(literal 1 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 2 binary64))
(pow.f64 (cosh.f64 x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -1 binary64))
(*.f64 (cosh.f64 x) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 5/24 binary64))))))
(+.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 5/24 binary64))))) #s(literal 1 binary64))
(+.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 5/24 binary64)))) #s(literal 1 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 5/24 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 5/24 binary64))))))) (/.f64 (.f64 x (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 5/24 binary64))))) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 5/24 binary64))))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 x #s(literal 5/24 binary64))))))))
(-.f64 (/.f64 (.f64 x (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 5/24 binary64))))) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 5/24 binary64))))))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 5/24 binary64))))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 x #s(literal 5/24 binary64))))) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 5/24 binary64))))) #s(literal 1 binary64))
(fma.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 x #s(literal 5/24 binary64))))) #s(literal 1 binary64))
(fma.f64 x (.f64 x #s(literal -1/2 binary64)) (+.f64 (.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal 5/24 binary64)))) #s(literal 1 binary64)))
(fma.f64 (.f64 x x) #s(literal -1/2 binary64) (+.f64 (.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal 5/24 binary64)))) #s(literal 1 binary64)))
(fma.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 x #s(literal 5/24 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (.f64 x x) (+.f64 (.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal 5/24 binary64)))) #s(literal 1 binary64)))
(fma.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 5/24 binary64)))) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 5/24 binary64))))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 x #s(literal 5/24 binary64))))) x #s(literal 1 binary64))
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(/.f64 (-.f64 (.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (exp.f64 (.f64 x #s(literal 2 binary64))))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (exp.f64 (.f64 x #s(literal -3 binary64))) (exp.f64 (.f64 x #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 2 binary64))))))))
(/.f64 (+.f64 (neg.f64 (exp.f64 (.f64 x #s(literal 3 binary64)))) (exp.f64 (.f64 x #s(literal -3 binary64)))) (+.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (-.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) (exp.f64 (-.f64 #s(literal 0 binary64) x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (.f64 x #s(literal -3 binary64))) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 2 binary64)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 2 binary64)))))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (exp.f64 (.f64 x #s(literal -3 binary64))) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 2 binary64)))))) (/.f64 (exp.f64 (.f64 x #s(literal -3 binary64))) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 2 binary64))))))) (+.f64 (.f64 (/.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 2 binary64)))))) (/.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 2 binary64))))))) (.f64 (/.f64 (exp.f64 (.f64 x #s(literal -3 binary64))) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 2 binary64)))))) (/.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) (cosh.f64 x)))) (+.f64 (.f64 (/.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (cosh.f64 x)))) (.f64 (/.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))))))
(pow.f64 (/.f64 (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 2 binary64))))) (-.f64 (exp.f64 (.f64 x #s(literal -3 binary64))) (exp.f64 (.f64 x #s(literal 3 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (-.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) (exp.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64))
(*.f64 (cosh.f64 x) (/.f64 (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (exp.f64 x)) (cosh.f64 x)))
(.f64 (-.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) (exp.f64 (.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x))))
(.f64 (-.f64 (exp.f64 (.f64 x #s(literal -3 binary64))) (exp.f64 (.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))))
(.f64 (/.f64 (-.f64 (exp.f64 (.f64 x #s(literal -6 binary64))) (exp.f64 (.f64 x #s(literal 6 binary64)))) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -4 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 4 binary64)))))) (cosh.f64 x)))
(.f64 (/.f64 (-.f64 (exp.f64 (.f64 x #s(literal -4 binary64))) (exp.f64 (.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) (exp.f64 (*.f64 x #s(literal 2 binary64))))) (cosh.f64 x)))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp.f64 (+.f64 (*.f64 x #s(literal -2 binary64)) x))
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)))))
(pow.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 x) #s(literal -1 binary64))
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (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 #s(literal -1 binary64)) x)
(*.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) (exp.f64 x))
(*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(.f64 (exp.f64 (.f64 x #s(literal -1/2 binary64))) (exp.f64 (*.f64 x #s(literal -1/2 binary64))))

simplify280.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

2686×	`-lowering-.f32`
2686×	`-lowering-.f64`
2112×	`sum3-define`
1986×	`+-lowering-+.f64`
1986×	`+-lowering-+.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	174	1937
1	462	1892
2	1155	1878
3	3088	1864
4	6179	1864
0	8250	1864

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

Inputs
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 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 (pow x 2))
(* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))
(* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))
(* (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 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- 5/24 (* 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 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
-1/2
(- (* 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) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(* -61/720 (pow x 6))
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))
(* (pow x 6) (- (+ (* 5/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 61/720 (/ 1/2 (pow x 4)))))
(* -61/720 (pow x 6))
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))
(* (pow x 6) (- (+ (* 5/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 61/720 (/ 1/2 (pow x 4)))))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))
(* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2))
(* (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))) (+ 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))) (+ 61/720 (/ 1/2 (pow x 4)))))
-1/2
(- (* 5/24 (pow x 2)) 1/2)
(- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)
(- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)
(* -61/720 (pow x 4))
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))
(* -61/720 (pow x 4))
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))
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 (/ (- (/ 1 (exp x)) (exp x)) (- (exp (* -2 x)) (exp (* 2 x)))))
(* 2 (/ (- (/ 1 (exp x)) (exp x)) (- (exp (* -2 x)) (exp (* 2 x)))))
(* 2 (/ (- (/ 1 (exp x)) (exp x)) (- (exp (* -2 x)) (exp (* 2 x)))))
(* 2 (/ (- (/ 1 (exp x)) (exp x)) (- (exp (* -2 x)) (exp (* 2 x)))))
(* 2 (/ (- (/ 1 (exp x)) (exp x)) (- (exp (* -2 x)) (exp (* 2 x)))))
(* 2 (/ (- (/ 1 (exp x)) (exp x)) (- (exp (* -2 x)) (exp (* 2 x)))))
(* 2 (/ (- (/ 1 (exp x)) (exp x)) (- (exp (* -2 x)) (exp (* 2 x)))))
(* 2 (/ (- (/ 1 (exp x)) (exp x)) (- (exp (* -2 x)) (exp (* 2 x)))))
(/ -1/2 x)
(/ (- (* 1/3 (pow x 2)) 1/2) x)
(/ (- (* (pow x 2) (+ 1/3 (* -7/45 (pow x 2)))) 1/2) x)
(/ (- (* (pow x 2) (+ 1/3 (* (pow x 2) (- (* 62/945 (pow x 2)) 7/45)))) 1/2) x)
(/ 2 (- (exp (* -2 x)) (exp (* 2 x))))
(/ 2 (- (exp (* -2 x)) (exp (* 2 x))))
(/ 2 (- (exp (* -2 x)) (exp (* 2 x))))
(/ 2 (- (exp (* -2 x)) (exp (* 2 x))))
(/ 2 (- (exp (* -2 x)) (exp (* 2 x))))
(/ 2 (- (exp (* -2 x)) (exp (* 2 x))))
(/ 2 (- (exp (* -2 x)) (exp (* 2 x))))
(/ 2 (- (exp (* -2 x)) (exp (* 2 x))))
(* -4 x)
(* x (- (* -8/3 (pow x 2)) 4))
(* x (- (* (pow x 2) (- (* -8/15 (pow x 2)) 8/3)) 4))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -16/315 (pow x 2)) 8/15)) 8/3)) 4))
(- (exp (* -2 x)) (exp (* 2 x)))
(- (exp (* -2 x)) (exp (* 2 x)))
(- (exp (* -2 x)) (exp (* 2 x)))
(- (exp (* -2 x)) (exp (* 2 x)))
(- (exp (* -2 x)) (exp (* 2 x)))
(- (exp (* -2 x)) (exp (* 2 x)))
(- (exp (* -2 x)) (exp (* 2 x)))
(- (exp (* -2 x)) (exp (* 2 x)))
1
(+ 1 (* -2 x))
(+ 1 (* x (- (* 2 x) 2)))
(+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
(* 5/24 (pow x 2))
(* 5/24 (pow x 2))
(* 5/24 (pow x 2))
(* 5/24 (pow x 2))
(* 5/24 (pow x 2))
(* 5/24 (pow x 2))
(* 5/24 (pow x 2))
(* 5/24 (pow x 2))
(* 5/24 (pow x 2))
(* 5/24 (pow x 2))
(* 5/24 (pow x 2))
(* 5/24 (pow x 2))
(* 5/24 x)
(* x (+ 5/24 (* -61/720 (pow x 2))))
(* x (+ 5/24 (* -61/720 (pow x 2))))
(* x (+ 5/24 (* -61/720 (pow x 2))))
(* -61/720 (pow x 3))
(* (pow x 3) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(* (pow x 3) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(* (pow x 3) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(* -61/720 (pow x 3))
(* -1 (* (pow x 3) (- 61/720 (* 5/24 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 61/720 (* 5/24 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 61/720 (* 5/24 (/ 1 (pow x 2))))))
(* -61/720 (pow x 2))
(* -61/720 (pow x 2))
(* -61/720 (pow x 2))
(* -61/720 (pow x 2))
(* -61/720 (pow x 2))
(* -61/720 (pow x 2))
(* -61/720 (pow x 2))
(* -61/720 (pow x 2))
(* -61/720 (pow x 2))
(* -61/720 (pow x 2))
(* -61/720 (pow x 2))
(* -61/720 (pow x 2))
(* 5/24 (pow x 2))
(* (pow x 2) (+ 5/24 (* -61/720 (pow x 2))))
(* (pow x 2) (+ 5/24 (* -61/720 (pow x 2))))
(* (pow x 2) (+ 5/24 (* -61/720 (pow x 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))
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(* -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))
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(* -2 x)
(* x (- (* -1/3 (pow x 2)) 2))
(* x (- (* (pow x 2) (- (* -1/60 (pow x 2)) 1/3)) 2))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1/2520 (pow x 2)) 1/60)) 1/3)) 2))
(- (/ 1 (exp x)) (exp x))
(- (/ 1 (exp x)) (exp x))
(- (/ 1 (exp x)) (exp x))
(- (/ 1 (exp x)) (exp x))
(- (/ 1 (exp x)) (exp x))
(- (/ 1 (exp x)) (exp x))
(- (/ 1 (exp x)) (exp x))
(- (/ 1 (exp x)) (exp x))
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(/ 1 (exp x))
(/ 1 (exp x))
(/ 1 (exp x))
(/ 1 (exp x))
(/ 1 (exp x))
(/ 1 (exp x))
(/ 1 (exp x))
(/ 1 (exp x))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 5/24 binary64)))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 5/24 binary64) (.f64 (.f64 x x) #s(literal -61/720 binary64)))))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64))))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))))))
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(/ 2 (- (exp (* -2 x)) (exp (* 2 x))))
(/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) (exp.f64 (.f64 x #s(literal 2 binary64)))))
(/ 2 (- (exp (* -2 x)) (exp (* 2 x))))
(/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) (exp.f64 (.f64 x #s(literal 2 binary64)))))
(/ 2 (- (exp (* -2 x)) (exp (* 2 x))))
(/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) (exp.f64 (.f64 x #s(literal 2 binary64)))))
(* -4 x)
(*.f64 x #s(literal -4 binary64))
(* x (- (* -8/3 (pow x 2)) 4))
(.f64 x (+.f64 #s(literal -4 binary64) (.f64 x (*.f64 x #s(literal -8/3 binary64)))))
(* x (- (* (pow x 2) (- (* -8/15 (pow x 2)) 8/3)) 4))
(.f64 x (+.f64 #s(literal -4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -8/3 binary64) (.f64 x (*.f64 x #s(literal -8/15 binary64)))))))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -16/315 (pow x 2)) 8/15)) 8/3)) 4))
(.f64 x (+.f64 #s(literal -4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -8/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal -8/15 binary64) (.f64 x (*.f64 x #s(literal -16/315 binary64))))))))))
(- (exp (* -2 x)) (exp (* 2 x)))
(-.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) (exp.f64 (.f64 x #s(literal 2 binary64))))
(- (exp (* -2 x)) (exp (* 2 x)))
(-.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) (exp.f64 (.f64 x #s(literal 2 binary64))))
(- (exp (* -2 x)) (exp (* 2 x)))
(-.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) (exp.f64 (.f64 x #s(literal 2 binary64))))
(- (exp (* -2 x)) (exp (* 2 x)))
(-.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) (exp.f64 (.f64 x #s(literal 2 binary64))))
(- (exp (* -2 x)) (exp (* 2 x)))
(-.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) (exp.f64 (.f64 x #s(literal 2 binary64))))
(- (exp (* -2 x)) (exp (* 2 x)))
(-.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) (exp.f64 (.f64 x #s(literal 2 binary64))))
(- (exp (* -2 x)) (exp (* 2 x)))
(-.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) (exp.f64 (.f64 x #s(literal 2 binary64))))
(- (exp (* -2 x)) (exp (* 2 x)))
(-.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) (exp.f64 (.f64 x #s(literal 2 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -2 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -2 binary64)))
(+ 1 (* x (- (* 2 x) 2)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -2 binary64) (.f64 x #s(literal 2 binary64)))))
(+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -4/3 binary64)))))))
(exp (* -2 x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(exp (* -2 x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(exp (* -2 x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(exp (* -2 x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(exp (* -2 x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(exp (* -2 x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(exp (* -2 x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(exp (* -2 x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(* 5/24 (pow x 2))
(.f64 (.f64 x x) #s(literal 5/24 binary64))
(* 5/24 (pow x 2))
(.f64 (.f64 x x) #s(literal 5/24 binary64))
(* 5/24 (pow x 2))
(.f64 (.f64 x x) #s(literal 5/24 binary64))
(* 5/24 (pow x 2))
(.f64 (.f64 x x) #s(literal 5/24 binary64))
(* 5/24 (pow x 2))
(.f64 (.f64 x x) #s(literal 5/24 binary64))
(* 5/24 (pow x 2))
(.f64 (.f64 x x) #s(literal 5/24 binary64))
(* 5/24 (pow x 2))
(.f64 (.f64 x x) #s(literal 5/24 binary64))
(* 5/24 (pow x 2))
(.f64 (.f64 x x) #s(literal 5/24 binary64))
(* 5/24 (pow x 2))
(.f64 (.f64 x x) #s(literal 5/24 binary64))
(* 5/24 (pow x 2))
(.f64 (.f64 x x) #s(literal 5/24 binary64))
(* 5/24 (pow x 2))
(.f64 (.f64 x x) #s(literal 5/24 binary64))
(* 5/24 (pow x 2))
(.f64 (.f64 x x) #s(literal 5/24 binary64))
(* 5/24 x)
(*.f64 x #s(literal 5/24 binary64))
(* x (+ 5/24 (* -61/720 (pow x 2))))
(.f64 x (+.f64 #s(literal 5/24 binary64) (.f64 (*.f64 x x) #s(literal -61/720 binary64))))
(* x (+ 5/24 (* -61/720 (pow x 2))))
(.f64 x (+.f64 #s(literal 5/24 binary64) (.f64 (*.f64 x x) #s(literal -61/720 binary64))))
(* x (+ 5/24 (* -61/720 (pow x 2))))
(.f64 x (+.f64 #s(literal 5/24 binary64) (.f64 (*.f64 x x) #s(literal -61/720 binary64))))
(* -61/720 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -61/720 binary64)))
(* (pow x 3) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(.f64 x (.f64 x (.f64 x (+.f64 #s(literal -61/720 binary64) (/.f64 #s(literal 5/24 binary64) (.f64 x x))))))
(* (pow x 3) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(.f64 x (.f64 x (.f64 x (+.f64 #s(literal -61/720 binary64) (/.f64 #s(literal 5/24 binary64) (.f64 x x))))))
(* (pow x 3) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(.f64 x (.f64 x (.f64 x (+.f64 #s(literal -61/720 binary64) (/.f64 #s(literal 5/24 binary64) (.f64 x x))))))
(* -61/720 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -61/720 binary64)))
(* -1 (* (pow x 3) (- 61/720 (* 5/24 (/ 1 (pow x 2))))))
(.f64 x (.f64 x (.f64 x (+.f64 #s(literal -61/720 binary64) (/.f64 #s(literal 5/24 binary64) (.f64 x x))))))
(* -1 (* (pow x 3) (- 61/720 (* 5/24 (/ 1 (pow x 2))))))
(.f64 x (.f64 x (.f64 x (+.f64 #s(literal -61/720 binary64) (/.f64 #s(literal 5/24 binary64) (.f64 x x))))))
(* -1 (* (pow x 3) (- 61/720 (* 5/24 (/ 1 (pow x 2))))))
(.f64 x (.f64 x (.f64 x (+.f64 #s(literal -61/720 binary64) (/.f64 #s(literal 5/24 binary64) (.f64 x x))))))
(* -61/720 (pow x 2))
(.f64 (.f64 x x) #s(literal -61/720 binary64))
(* -61/720 (pow x 2))
(.f64 (.f64 x x) #s(literal -61/720 binary64))
(* -61/720 (pow x 2))
(.f64 (.f64 x x) #s(literal -61/720 binary64))
(* -61/720 (pow x 2))
(.f64 (.f64 x x) #s(literal -61/720 binary64))
(* -61/720 (pow x 2))
(.f64 (.f64 x x) #s(literal -61/720 binary64))
(* -61/720 (pow x 2))
(.f64 (.f64 x x) #s(literal -61/720 binary64))
(* -61/720 (pow x 2))
(.f64 (.f64 x x) #s(literal -61/720 binary64))
(* -61/720 (pow x 2))
(.f64 (.f64 x x) #s(literal -61/720 binary64))
(* -61/720 (pow x 2))
(.f64 (.f64 x x) #s(literal -61/720 binary64))
(* -61/720 (pow x 2))
(.f64 (.f64 x x) #s(literal -61/720 binary64))
(* -61/720 (pow x 2))
(.f64 (.f64 x x) #s(literal -61/720 binary64))
(* -61/720 (pow x 2))
(.f64 (.f64 x x) #s(literal -61/720 binary64))
(* 5/24 (pow x 2))
(.f64 (.f64 x x) #s(literal 5/24 binary64))
(* (pow x 2) (+ 5/24 (* -61/720 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 5/24 binary64) (.f64 (.f64 x x) #s(literal -61/720 binary64))))
(* (pow x 2) (+ 5/24 (* -61/720 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 5/24 binary64) (.f64 (.f64 x x) #s(literal -61/720 binary64))))
(* (pow x 2) (+ 5/24 (* -61/720 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 5/24 binary64) (.f64 (.f64 x x) #s(literal -61/720 binary64))))
(* -61/720 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -61/720 binary64))))
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(.f64 (+.f64 #s(literal -61/720 binary64) (/.f64 #s(literal 5/24 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(.f64 (+.f64 #s(literal -61/720 binary64) (/.f64 #s(literal 5/24 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(.f64 (+.f64 #s(literal -61/720 binary64) (/.f64 #s(literal 5/24 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* -61/720 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -61/720 binary64))))
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(.f64 (+.f64 #s(literal -61/720 binary64) (/.f64 #s(literal 5/24 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(.f64 (+.f64 #s(literal -61/720 binary64) (/.f64 #s(literal 5/24 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(.f64 (+.f64 #s(literal -61/720 binary64) (/.f64 #s(literal 5/24 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* x (- (* -1/3 (pow x 2)) 2))
(.f64 x (+.f64 #s(literal -2 binary64) (.f64 (*.f64 x x) #s(literal -1/3 binary64))))
(* x (- (* (pow x 2) (- (* -1/60 (pow x 2)) 1/3)) 2))
(.f64 x (+.f64 #s(literal -2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 x x) #s(literal -1/60 binary64))))))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1/2520 (pow x 2)) 1/60)) 1/3)) 2))
(.f64 x (+.f64 #s(literal -2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/60 binary64) (.f64 (*.f64 x x) #s(literal -1/2520 binary64))))))))
(- (/ 1 (exp x)) (exp x))
(-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x))
(- (/ 1 (exp x)) (exp x))
(-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x))
(- (/ 1 (exp x)) (exp x))
(-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x))
(- (/ 1 (exp x)) (exp x))
(-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x))
(- (/ 1 (exp x)) (exp x))
(-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x))
(- (/ 1 (exp x)) (exp x))
(-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x))
(- (/ 1 (exp x)) (exp x))
(-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x))
(- (/ 1 (exp x)) (exp x))
(-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64)))))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 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))

eval158.0ms (1.8%)

Compiler: Compiled 24834 to 2316 computations (90.7% saved)

prune313.0ms (3.6%)

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	852	1	853
Fresh	0	3	3
Picked	0	5	5
Done	0	0	0
Total	852	9	861

Accuracy

100.0%

Counts

861 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	88.1%	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))))
▶	93.4%	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))))))
▶	75.1%	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
▶	88.1%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))))))
✓	100.0%	(/.f64 #s(literal 1 binary64) (cosh.f64 x))
✓	43.8%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 5/24 binary64)))))
✓	43.7%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 5/24 binary64) (.f64 (.f64 x x) #s(literal -61/720 binary64))))))))
✓	1.1%	(.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) (exp.f64 (*.f64 x #s(literal 2 binary64))))) (-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x)))
✓	44.5%	#s(literal 1 binary64)

Compiler

Compiled 123 to 83 computations (32.5% saved)

simplify49.0ms (0.6%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Rules

1434×	`fma-define`
990×	`fma-lowering-fma.f32`
990×	`fma-lowering-fma.f64`
462×	`-lowering-.f32`
462×	`-lowering-.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	30	254
1	83	226
2	246	220
3	675	214
4	1342	214
5	1789	214
6	1856	214
0	1856	214

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ 1 (+ 1 (* x (* x (+ 1/2 (* (* x x) 1/24))))))
1
(+ 1 (* x (* x (+ 1/2 (* (* x x) 1/24)))))
(* x (* x (+ 1/2 (* (* x x) 1/24))))
x
(* x (+ 1/2 (* (* x x) 1/24)))
(+ 1/2 (* (* x x) 1/24))
1/2
(* (* x x) 1/24)
(* x x)
1/24
(/ 2 (+ 2 (* x x)))
2
(+ 2 (* x x))
(* x x)
x
(/ 2 (+ 2 (* (* x x) (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360)))))))))
2
(+ 2 (* (* x x) (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360))))))))
(* (* x x) (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360)))))))
(* x x)
x
(+ 1 (* x (* x (+ 1/12 (* x (* x 1/360))))))
1
(* x (* x (+ 1/12 (* x (* x 1/360)))))
(* x (+ 1/12 (* x (* x 1/360))))
(+ 1/12 (* x (* x 1/360)))
1/12
(* x (* x 1/360))
(* x 1/360)
1/360
(/ 2 (+ 2 (* (* x x) (+ 1 (* (* x x) 1/12)))))
2
(+ 2 (* (* x x) (+ 1 (* (* x x) 1/12))))
(* (* x x) (+ 1 (* (* x x) 1/12)))
(* x x)
x
(+ 1 (* (* x x) 1/12))
1
(* (* x x) 1/12)
1/12

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

localize233.0ms (2.7%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
✓	accuracy	99.4%	(.f64 (.f64 x x) #s(literal 1/12 binary64))
✓	accuracy	99.4%	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 1/360 binary64)))
✓	accuracy	99.7%	(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal 1/360 binary64)))))
✓	accuracy	99.7%	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))))))
✓	accuracy	99.7%	(*.f64 x #s(literal 1/360 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 2 binary64) (*.f64 x x))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.6%	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
✓	accuracy	100.0%	(.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal 1/24 binary64))))
✓	accuracy	99.4%	(.f64 (.f64 x x) #s(literal 1/24 binary64))
✓	accuracy	99.4%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))))))

Results

180.0ms

256×

valid

Compiler

Compiled 257 to 31 computations (87.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-mult: 19.0ms (40% of total)

ival-add: 10.0ms (21.1% of total)

...c/correct-round.rkt:119:19: 10.0ms (21.1% of total)

ival-div: 7.0ms (14.7% of total)

const: 1.0ms (2.1% of total)

backward-pass: 0.0ms (0% of total)

series14.0ms (0.2%)

Counts

18 → 216

Calls

Call 1

Inputs
#<alt (/ 1 (+ 1 (* x (* x (+ 1/2 (* (* x x) 1/24))))))>
#<alt (+ 1 (* x (* x (+ 1/2 (* (* x x) 1/24)))))>
#<alt (* x (* x (+ 1/2 (* (* x x) 1/24))))>
#<alt (* x (+ 1/2 (* (* x x) 1/24)))>
#<alt (/ 2 (+ 2 (* x x)))>
#<alt (+ 2 (* x x))>
#<alt (* x x)>
#<alt (/ 2 (+ 2 (* (* x x) (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360)))))))))>
#<alt (+ 2 (* (* x x) (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360))))))))>
#<alt (* (* x x) (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360)))))))>
#<alt (/ 2 (+ 2 (* (* x x) (+ 1 (* (* x x) 1/12)))))>
#<alt (+ 2 (* (* x x) (+ 1 (* (* x x) 1/12))))>
#<alt (* (* x x) (+ 1 (* (* x x) 1/12)))>
#<alt (* (* x x) 1/24)>
#<alt (* x 1/360)>
#<alt (* x (+ 1/12 (* x (* x 1/360))))>
#<alt (* x (* x 1/360))>
#<alt (* (* x x) 1/12)>

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

Calls

54 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(* x (+ 1/2 (* (* x x) 1/24)))
2.0ms	x	@	-inf	(* x 1/360)
0.0ms	x	@	inf	(/ 2 (+ 2 (* (* x x) (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360)))))))))
0.0ms	x	@	inf	(/ 1 (+ 1 (* x (* x (+ 1/2 (* (* x x) 1/24))))))
0.0ms	x	@	inf	(* x (* x (+ 1/2 (* (* x x) 1/24))))

rewrite304.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

4192×	`-lowering-.f32`
4192×	`-lowering-.f64`
2974×	`/-lowering-/.f32`
2974×	`/-lowering-/.f64`
2286×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	185
1	207	157
2	1854	151
0	8210	151

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 409

Calls

Call 1

Inputs
(/ 1 (+ 1 (* x (* x (+ 1/2 (* (* x x) 1/24))))))
(+ 1 (* x (* x (+ 1/2 (* (* x x) 1/24)))))
(* x (* x (+ 1/2 (* (* x x) 1/24))))
(* x (+ 1/2 (* (* x x) 1/24)))
(/ 2 (+ 2 (* x x)))
(+ 2 (* x x))
(* x x)
(/ 2 (+ 2 (* (* x x) (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360)))))))))
(+ 2 (* (* x x) (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360))))))))
(* (* x x) (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360)))))))
(/ 2 (+ 2 (* (* x x) (+ 1 (* (* x x) 1/12)))))
(+ 2 (* (* x x) (+ 1 (* (* x x) 1/12))))
(* (* x x) (+ 1 (* (* x x) 1/12)))
(* (* x x) 1/24)
(* x 1/360)
(* x (+ 1/12 (* x (* x 1/360))))
(* x (* x 1/360))
(* (* x x) 1/12)

Outputs
(exp.f64 (.f64 (log1p.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal 1/24 binary64)))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))))))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))))))))))
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(/.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)))))) (-.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64))))))
(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/1728 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64)))))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/144 binary64) (.f64 x (.f64 x (.f64 x x)))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/1728 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/144 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 #s(literal 1/1728 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (neg.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64))))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64))))))) (neg.f64 (-.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)))))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/1728 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/144 binary64) (.f64 x (.f64 x (.f64 x x))))))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/1728 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (.f64 x x))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/144 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))) (.f64 x x))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))) x)
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(.f64 (.f64 x x) #s(literal 1/24 binary64))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/24 binary64)) x)
(*.f64 x #s(literal 1/360 binary64))
(*.f64 #s(literal 1/360 binary64) x)
(+.f64 (.f64 x #s(literal 1/12 binary64)) (.f64 x (.f64 x (.f64 x #s(literal 1/360 binary64)))))
(+.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/360 binary64)))) (.f64 x #s(literal 1/12 binary64)))
(fma.f64 x #s(literal 1/12 binary64) (.f64 x (.f64 x (*.f64 x #s(literal 1/360 binary64)))))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/360 binary64))) (*.f64 x #s(literal 1/12 binary64)))
(fma.f64 (.f64 x x) (.f64 x #s(literal 1/360 binary64)) (*.f64 x #s(literal 1/12 binary64)))
(fma.f64 #s(literal 1/12 binary64) x (.f64 x (.f64 x (*.f64 x #s(literal 1/360 binary64)))))
(fma.f64 (.f64 x #s(literal 1/360 binary64)) (.f64 x x) (*.f64 x #s(literal 1/12 binary64)))
(fma.f64 (.f64 x (.f64 x #s(literal 1/360 binary64))) x (*.f64 x #s(literal 1/12 binary64)))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/360 binary64) (*.f64 x #s(literal 1/12 binary64)))
(/.f64 (+.f64 (.f64 #s(literal 1/1728 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/46656000 binary64)) (.f64 x (.f64 x x)))) (+.f64 (.f64 (.f64 x #s(literal 1/12 binary64)) (.f64 x #s(literal 1/12 binary64))) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/360 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal 1/360 binary64))))) (.f64 (.f64 x #s(literal 1/12 binary64)) (.f64 x (.f64 x (*.f64 x #s(literal 1/360 binary64))))))))
(/.f64 (-.f64 (.f64 (.f64 x #s(literal 1/12 binary64)) (.f64 x #s(literal 1/12 binary64))) (.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/360 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal 1/360 binary64)))))) (-.f64 (.f64 x #s(literal 1/12 binary64)) (.f64 x (.f64 x (.f64 x #s(literal 1/360 binary64))))))
(/.f64 (.f64 x (+.f64 #s(literal 1/1728 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/46656000 binary64)))) (+.f64 #s(literal 1/144 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/360 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))))
(/.f64 (.f64 x (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64)))) (-.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal 1/360 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal 1/1728 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/46656000 binary64))) x) (+.f64 #s(literal 1/144 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/360 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))))
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(/.f64 (neg.f64 (.f64 x (+.f64 #s(literal 1/1728 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/46656000 binary64))))) (neg.f64 (+.f64 #s(literal 1/144 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/360 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 1/360 binary64))) #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (.f64 x (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64))))) (neg.f64 (-.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal 1/360 binary64))))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1/1728 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/46656000 binary64))) x)) (neg.f64 (+.f64 #s(literal 1/144 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/360 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 1/360 binary64))) #s(literal 1/12 binary64))))))
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(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal 1/360 binary64)))))
(.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal 1/360 binary64)))) x)
(.f64 x (.f64 x #s(literal 1/360 binary64)))
(.f64 (.f64 x x) #s(literal 1/360 binary64))
(.f64 #s(literal 1/360 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/360 binary64)) x)
(.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(.f64 x (.f64 x #s(literal 1/12 binary64)))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(.f64 #s(literal 1/12 binary64) (.f64 x x))
(.f64 (.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64))
(.f64 (.f64 x #s(literal 1/12 binary64)) x)
(.f64 (.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/12 binary64)))

simplify267.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

3954×	`-lowering-.f32`
3954×	`-lowering-.f64`
2310×	`+-lowering-+.f64`
2310×	`+-lowering-+.f32`
1690×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	152	1842
1	452	1725
2	1296	1673
3	3881	1656
0	8333	1656

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

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

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

eval78.0ms (0.9%)

Compiler: Compiled 20933 to 1829 computations (91.3% saved)

prune93.0ms (1.1%)

Pruning

26 alts after pruning (20 fresh and 6 done)

	Pruned	Kept	Total
New	693	20	713
Fresh	0	0	0
Picked	2	2	4
Done	1	4	5
Total	696	26	722

Accuracy

100.0%

Counts

722 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	32.6%	(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 x x))
	45.6%	(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x)))
	43.3%	(/.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 x x) (-.f64 (.f64 x x) #s(literal 2 binary64))) (.f64 (.f64 x x) (-.f64 (.f64 x x) #s(literal 2 binary64)))))) (.f64 (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (-.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (-.f64 (*.f64 x x) #s(literal 2 binary64))))))
	46.8%	(/.f64 #s(literal 24 binary64) (.f64 (.f64 x x) (*.f64 x x)))
▶	43.3%	(/.f64 #s(literal 2 binary64) (/.f64 (.f64 (-.f64 #s(literal 64 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 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (-.f64 (*.f64 x x) #s(literal 2 binary64)))))))
	44.1%	(/.f64 #s(literal 2 binary64) (/.f64 (.f64 (-.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))))) (-.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))))))
	45.7%	(/.f64 #s(literal 2 binary64) (/.f64 (.f64 (-.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 4 binary64) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 2 binary64) (*.f64 x x)))))
	43.3%	(/.f64 #s(literal 2 binary64) (/.f64 (.f64 (+.f64 #s(literal 512 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.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 1 binary64)) (.f64 (+.f64 #s(literal 64 binary64) (-.f64 (.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 8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (-.f64 (*.f64 x x) #s(literal 2 binary64)))))))
▶	93.4%	(/.f64 #s(literal 2 binary64) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))) #s(literal 2 binary64)))
	51.3%	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))
	44.6%	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))) (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))))) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal 1/360 binary64))))) #s(literal 1 binary64)))))))
✓	93.4%	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))))))
▶	93.2%	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/360 binary64)))))))))
✓	75.1%	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
	44.6%	(/.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))) #s(literal 2 binary64)))))))
▶	47.1%	(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))))
	46.8%	(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
▶	34.1%	(/.f64 #s(literal 2 binary64) (*.f64 x x))
	88.1%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) x))))))
✓	100.0%	(/.f64 #s(literal 1 binary64) (cosh.f64 x))
	43.7%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 5/24 binary64) (.f64 (.f64 x x) #s(literal -1/12 binary64)))))))
✓	43.8%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 5/24 binary64)))))
✓	1.1%	(.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) (exp.f64 (*.f64 x #s(literal 2 binary64))))) (-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x)))
	46.6%	(.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 4 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))))))) (-.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))))))
	44.6%	(.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))))))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))) #s(literal 2 binary64)))))
✓	44.5%	#s(literal 1 binary64)

Compiler

Compiled 1791 to 639 computations (64.3% saved)

simplify215.0ms (2.5%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))))
✓	cost-diff	128	(.f64 (-.f64 #s(literal 64 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 1 binary64))
✓	cost-diff	128	(/.f64 (.f64 (-.f64 #s(literal 64 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 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (-.f64 (*.f64 x x) #s(literal 2 binary64))))))
✓	cost-diff	128	(/.f64 #s(literal 2 binary64) (/.f64 (.f64 (-.f64 #s(literal 64 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 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (-.f64 (*.f64 x x) #s(literal 2 binary64)))))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/360 binary64)))))))
✓	cost-diff	0	(+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/360 binary64))))))))
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/360 binary64)))))))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
✓	cost-diff	0	(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (*.f64 x x))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal 1/360 binary64)))))))
✓	cost-diff	0	(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))))
✓	cost-diff	0	(+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))) #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))) #s(literal 2 binary64)))

Rules

5380×	`-lowering-.f32`
5380×	`-lowering-.f64`
1684×	`fnmadd-define`
1666×	`fma-define`
1472×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	42	469
1	146	358
2	524	323
3	1972	321
4	5754	321
0	8338	321

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ 2 (+ (* x (* x (+ 1 (* (* x x) (+ 1/12 (* x (* x 1/360))))))) 2))
2
(+ (* x (* x (+ 1 (* (* x x) (+ 1/12 (* x (* x 1/360))))))) 2)
(* x (* x (+ 1 (* (* x x) (+ 1/12 (* x (* x 1/360)))))))
x
(* x (+ 1 (* (* x x) (+ 1/12 (* x (* x 1/360))))))
(+ 1 (* (* x x) (+ 1/12 (* x (* x 1/360)))))
1
(* (* x x) (+ 1/12 (* x (* x 1/360))))
(* x x)
(+ 1/12 (* x (* x 1/360)))
1/12
(* x (* x 1/360))
(* x 1/360)
1/360
(/ 2 (* x x))
2
(* x x)
x
(/ 2 (* x (* x (+ 1 (* (* x x) 1/12)))))
2
(* x (* x (+ 1 (* (* x x) 1/12))))
x
(* x (+ 1 (* (* x x) 1/12)))
(+ 1 (* (* x x) 1/12))
1
(* (* x x) 1/12)
(* x x)
1/12
(/ 2 (+ 2 (* (* x x) (+ 1 (* x (* x (* x (* x 1/360))))))))
2
(+ 2 (* (* x x) (+ 1 (* x (* x (* x (* x 1/360)))))))
(* (* x x) (+ 1 (* x (* x (* x (* x 1/360))))))
(* x x)
x
(+ 1 (* x (* x (* x (* x 1/360)))))
1
(* x (* x (* x (* x 1/360))))
(* x (* x (* x 1/360)))
(* x (* x 1/360))
(* x 1/360)
1/360
(/ 2 (/ (* (- 64 (* (* (* x (* x x)) (* x (* x x))) (* (* x (* x x)) (* x (* x x))))) 1) (* (- 8 (* (* x (* x x)) (* x (* x x)))) (+ 4 (* (* x x) (- (* x x) 2))))))
2
(/ (* (- 64 (* (* (* x (* x x)) (* x (* x x))) (* (* x (* x x)) (* x (* x x))))) 1) (* (- 8 (* (* x (* x x)) (* x (* x x)))) (+ 4 (* (* x x) (- (* x x) 2)))))
(* (- 64 (* (* (* x (* x x)) (* x (* x x))) (* (* x (* x x)) (* x (* x x))))) 1)
(- 64 (* (* (* x (* x x)) (* x (* x x))) (* (* x (* x x)) (* x (* x x)))))
64
(* (* (* x (* x x)) (* x (* x x))) (* (* x (* x x)) (* x (* x x))))
(* (* x (* x x)) (* x (* x x)))
(* x (* x x))
x
(* x x)
1
(* (- 8 (* (* x (* x x)) (* x (* x x)))) (+ 4 (* (* x x) (- (* x x) 2))))
(- 8 (* (* x (* x x)) (* x (* x x))))
8
(+ 4 (* (* x x) (- (* x x) 2)))
4
(* (* x x) (- (* x x) 2))
(- (* x x) 2)

Outputs
(/ 2 (+ (* x (* x (+ 1 (* (* x x) (+ 1/12 (* x (* x 1/360))))))) 2))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))))))
2
#s(literal 2 binary64)
(+ (* x (* x (+ 1 (* (* x x) (+ 1/12 (* x (* x 1/360))))))) 2)
(+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))))
(* x (* x (+ 1 (* (* x x) (+ 1/12 (* x (* x 1/360)))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))))
x
(* x (+ 1 (* (* x x) (+ 1/12 (* x (* x 1/360))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal 1/360 binary64))))))))
(+ 1 (* (* x x) (+ 1/12 (* x (* x 1/360)))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))
1
#s(literal 1 binary64)
(* (* x x) (+ 1/12 (* x (* x 1/360))))
(.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))
(* x x)
(*.f64 x x)
(+ 1/12 (* x (* x 1/360)))
(+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))
1/12
#s(literal 1/12 binary64)
(* x (* x 1/360))
(.f64 x (.f64 x #s(literal 1/360 binary64)))
(* x 1/360)
(*.f64 x #s(literal 1/360 binary64))
1/360
#s(literal 1/360 binary64)
(/ 2 (* x x))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
2
#s(literal 2 binary64)
(* x x)
(*.f64 x x)
x
(/ 2 (* x (* x (+ 1 (* (* x x) 1/12)))))
(/.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
2
#s(literal 2 binary64)
(* x (* x (+ 1 (* (* x x) 1/12))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
x
(* x (+ 1 (* (* x x) 1/12)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(+ 1 (* (* x x) 1/12))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))
1
#s(literal 1 binary64)
(* (* x x) 1/12)
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* x x)
(*.f64 x x)
1/12
#s(literal 1/12 binary64)
(/ 2 (+ 2 (* (* x x) (+ 1 (* x (* x (* x (* x 1/360))))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (.f64 x x))))))))
2
#s(literal 2 binary64)
(+ 2 (* (* x x) (+ 1 (* x (* x (* x (* x 1/360)))))))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(* (* x x) (+ 1 (* x (* x (* x (* x 1/360))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* x x)
(*.f64 x x)
x
(+ 1 (* x (* x (* x (* x 1/360)))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (.f64 x x)))))
1
#s(literal 1 binary64)
(* x (* x (* x (* x 1/360))))
(.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (.f64 x x))))
(* x (* x (* x 1/360)))
(.f64 x (.f64 x (*.f64 x #s(literal 1/360 binary64))))
(* x (* x 1/360))
(.f64 x (.f64 x #s(literal 1/360 binary64)))
(* x 1/360)
(*.f64 x #s(literal 1/360 binary64))
1/360
#s(literal 1/360 binary64)
(/ 2 (/ (* (- 64 (* (* (* x (* x x)) (* x (* x x))) (* (* x (* x x)) (* x (* x x))))) 1) (* (- 8 (* (* x (* x x)) (* x (* x x)))) (+ 4 (* (* x x) (- (* x x) 2))))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (-.f64 #s(literal 8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (+.f64 #s(literal 4 binary64) (.f64 x (.f64 x (+.f64 (.f64 x x) #s(literal -2 binary64))))))) (-.f64 #s(literal 64 binary64) (.f64 x (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))))))
2
#s(literal 2 binary64)
(/ (* (- 64 (* (* (* x (* x x)) (* x (* x x))) (* (* x (* x x)) (* x (* x x))))) 1) (* (- 8 (* (* x (* x x)) (* x (* x x)))) (+ 4 (* (* x x) (- (* x x) 2)))))
(/.f64 (-.f64 #s(literal 64 binary64) (.f64 x (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))))))) (.f64 (-.f64 #s(literal 8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (+.f64 #s(literal 4 binary64) (.f64 x (.f64 x (+.f64 (.f64 x x) #s(literal -2 binary64)))))))
(* (- 64 (* (* (* x (* x x)) (* x (* x x))) (* (* x (* x x)) (* x (* x x))))) 1)
(-.f64 #s(literal 64 binary64) (.f64 x (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x))))))))))
(- 64 (* (* (* x (* x x)) (* x (* x x))) (* (* x (* x x)) (* x (* x x)))))
(-.f64 #s(literal 64 binary64) (.f64 x (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x))))))))))
64
#s(literal 64 binary64)
(* (* (* x (* x x)) (* x (* x x))) (* (* x (* x x)) (* x (* x x))))
(.f64 x (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))))
(* (* x (* x x)) (* x (* x x)))
(.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(* x (* x x))
(.f64 x (.f64 x x))
x
(* x x)
(*.f64 x x)
1
#s(literal 1 binary64)
(* (- 8 (* (* x (* x x)) (* x (* x x)))) (+ 4 (* (* x x) (- (* x x) 2))))
(.f64 (-.f64 #s(literal 8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (+.f64 #s(literal 4 binary64) (.f64 x (.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))))
(- 8 (* (* x (* x x)) (* x (* x x))))
(-.f64 #s(literal 8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x))))))
8
#s(literal 8 binary64)
(+ 4 (* (* x x) (- (* x x) 2)))
(+.f64 #s(literal 4 binary64) (.f64 x (.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))
4
#s(literal 4 binary64)
(* (* x x) (- (* x x) 2))
(.f64 x (.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))
(- (* x x) 2)
(+.f64 (*.f64 x x) #s(literal -2 binary64))

localize236.0ms (2.7%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 (.f64 x x) (-.f64 (*.f64 x x) #s(literal 2 binary64)))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.6%	(/.f64 #s(literal 2 binary64) (/.f64 (.f64 (-.f64 #s(literal 64 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 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (-.f64 (*.f64 x x) #s(literal 2 binary64)))))))
✓	accuracy	54.0%	(/.f64 (.f64 (-.f64 #s(literal 64 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 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (-.f64 (*.f64 x x) #s(literal 2 binary64))))))
✓	accuracy	99.9%	(.f64 x (.f64 x (*.f64 x #s(literal 1/360 binary64))))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 1/360 binary64)))
✓	accuracy	99.7%	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/360 binary64)))))))))
✓	accuracy	99.7%	(*.f64 x #s(literal 1/360 binary64))
✓	accuracy	100.0%	(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
✓	accuracy	99.4%	(.f64 (.f64 x x) #s(literal 1/12 binary64))
✓	accuracy	99.3%	(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.5%	(/.f64 #s(literal 2 binary64) (*.f64 x x))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 1/360 binary64)))
✓	accuracy	99.8%	(.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))
✓	accuracy	99.7%	(/.f64 #s(literal 2 binary64) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))) #s(literal 2 binary64)))
✓	accuracy	99.7%	(*.f64 x #s(literal 1/360 binary64))

Results

123.0ms

256×

valid

Compiler

Compiled 547 to 43 computations (92.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 72.0ms

ival-mult: 39.0ms (54% of total)

ival-div: 10.0ms (13.9% of total)

ival-add: 8.0ms (11.1% of total)

ival-sub: 7.0ms (9.7% of total)

...c/correct-round.rkt:119:19: 7.0ms (9.7% of total)

const: 1.0ms (1.4% of total)

backward-pass: 0.0ms (0% of total)

series17.0ms (0.2%)

Counts

24 → 288

Calls

Call 1

Inputs
#<alt (/ 2 (+ (* x (* x (+ 1 (* (* x x) (+ 1/12 (* x (* x 1/360))))))) 2))>
#<alt (+ (* x (* x (+ 1 (* (* x x) (+ 1/12 (* x (* x 1/360))))))) 2)>
#<alt (* x (* x (+ 1 (* (* x x) (+ 1/12 (* x (* x 1/360)))))))>
#<alt (* x (+ 1 (* (* x x) (+ 1/12 (* x (* x 1/360))))))>
#<alt (/ 2 (* x x))>
#<alt (* x x)>
#<alt (/ 2 (* x (* x (+ 1 (* (* x x) 1/12)))))>
#<alt (* x (* x (+ 1 (* (* x x) 1/12))))>
#<alt (* x (+ 1 (* (* x x) 1/12)))>
#<alt (+ 1 (* (* x x) 1/12))>
#<alt (/ 2 (+ 2 (* (* x x) (+ 1 (* x (* x (* x (* x 1/360))))))))>
#<alt (+ 2 (* (* x x) (+ 1 (* x (* x (* x (* x 1/360)))))))>
#<alt (* (* x x) (+ 1 (* x (* x (* x (* x 1/360))))))>
#<alt (/ 2 (/ (* (- 64 (* (* (* x (* x x)) (* x (* x x))) (* (* x (* x x)) (* x (* x x))))) 1) (* (- 8 (* (* x (* x x)) (* x (* x x)))) (+ 4 (* (* x x) (- (* x x) 2))))))>
#<alt (/ (* (- 64 (* (* (* x (* x x)) (* x (* x x))) (* (* x (* x x)) (* x (* x x))))) 1) (* (- 8 (* (* x (* x x)) (* x (* x x)))) (+ 4 (* (* x x) (- (* x x) 2)))))>
#<alt (* (- 64 (* (* (* x (* x x)) (* x (* x x))) (* (* x (* x x)) (* x (* x x))))) 1)>
#<alt (- 64 (* (* (* x (* x x)) (* x (* x x))) (* (* x (* x x)) (* x (* x x)))))>
#<alt (* x 1/360)>
#<alt (* (* x x) (+ 1/12 (* x (* x 1/360))))>
#<alt (* x (* x 1/360))>
#<alt (* (* x x) 1/12)>
#<alt (* x (* x (* x 1/360)))>
#<alt (* x (* x x))>
#<alt (* (* x x) (- (* x x) 2))>

Outputs
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))>
#<alt (/ 720 (pow x 6))>
#<alt (/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))>
#<alt (/ 720 (pow x 6))>
#<alt (/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))>
#<alt 2>
#<alt (+ 2 (pow x 2))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/12 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* 1/360 (pow x 5))>
#<alt (* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/360 (pow x 5))>
#<alt (* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (/ 2 (pow x 2))>
#<alt (/ (+ 2 (* -1/6 (pow x 2))) (pow x 2))>
#<alt (/ (+ 2 (* (pow x 2) (- (* 1/72 (pow x 2)) 1/6))) (pow x 2))>
#<alt (/ (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/72 (* -1/864 (pow x 2)))) 1/6))) (pow x 2))>
#<alt (/ 24 (pow x 4))>
#<alt (/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 24 (/ 3456 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 24 (/ 3456 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 41472 (/ 1 (pow x 6))))) (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 24 (/ 3456 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 24 (/ 3456 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 41472 (/ 1 (pow x 6))))) (pow x 4))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* 1/12 (pow x 4))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* 1/12 (pow x 4))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt x>
#<alt (* x (+ 1 (* 1/12 (pow x 2))))>
#<alt (* x (+ 1 (* 1/12 (pow x 2))))>
#<alt (* x (+ 1 (* 1/12 (pow x 2))))>
#<alt (* 1/12 (pow x 3))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* 1/12 (pow x 3))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt 1>
#<alt (+ 1 (* 1/12 (pow x 2)))>
#<alt (+ 1 (* 1/12 (pow x 2)))>
#<alt (+ 1 (* 1/12 (pow x 2)))>
#<alt (* 1/12 (pow x 2))>
#<alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* 1/12 (pow x 2))>
#<alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/4 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/4 (* -91/720 (pow x 2)))) 1/2)))>
#<alt (/ 720 (pow x 6))>
#<alt (/ (- 720 (* 259200 (/ 1 (pow x 4)))) (pow x 6))>
#<alt (/ (+ 720 (* -1 (/ (+ 259200 (* 518400 (/ 1 (pow x 2)))) (pow x 4)))) (pow x 6))>
#<alt (/ (- (+ 720 (* 93312000 (/ 1 (pow x 8)))) (+ (* 259200 (/ 1 (pow x 4))) (/ 518400 (pow x 6)))) (pow x 6))>
#<alt (/ 720 (pow x 6))>
#<alt (/ (- 720 (* 259200 (/ 1 (pow x 4)))) (pow x 6))>
#<alt (/ (+ 720 (* -1 (/ (+ 259200 (* 518400 (/ 1 (pow x 2)))) (pow x 4)))) (pow x 6))>
#<alt (/ (- (+ 720 (* 93312000 (/ 1 (pow x 8)))) (+ (* 259200 (/ 1 (pow x 4))) (/ 518400 (pow x 6)))) (pow x 6))>
#<alt 2>
#<alt (+ 2 (pow x 2))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* 1/360 (pow x 4)))))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* 1/360 (pow x 4)))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (/ 1 (pow x 4))))>
#<alt (* (pow x 6) (+ 1/360 (+ (/ 1 (pow x 4)) (/ 2 (pow x 6)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (/ 1 (pow x 4)) (/ 2 (pow x 6)))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (/ 1 (pow x 4))))>
#<alt (* (pow x 6) (+ 1/360 (+ (/ 1 (pow x 4)) (/ 2 (pow x 6)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (/ 1 (pow x 4)) (/ 2 (pow x 6)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/360 (pow x 4))))>
#<alt (* (pow x 2) (+ 1 (* 1/360 (pow x 4))))>
#<alt (* (pow x 2) (+ 1 (* 1/360 (pow x 4))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (/ 1 (pow x 4))))>
#<alt (* (pow x 6) (+ 1/360 (/ 1 (pow x 4))))>
#<alt (* (pow x 6) (+ 1/360 (/ 1 (pow x 4))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (/ 1 (pow x 4))))>
#<alt (* (pow x 6) (+ 1/360 (/ 1 (pow x 4))))>
#<alt (* (pow x 6) (+ 1/360 (/ 1 (pow x 4))))>
#<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 64>
#<alt 64>
#<alt (+ 64 (* -1 (pow x 12)))>
#<alt (+ 64 (* -1 (pow x 12)))>
#<alt (* -1 (pow x 12))>
#<alt (* -1 (pow x 12))>
#<alt (* (pow x 12) (- (* 64 (/ 1 (pow x 12))) 1))>
#<alt (* (pow x 12) (- (* 64 (/ 1 (pow x 12))) 1))>
#<alt (* -1 (pow x 12))>
#<alt (* -1 (pow x 12))>
#<alt (* (pow x 12) (- (* 64 (/ 1 (pow x 12))) 1))>
#<alt (* (pow x 12) (- (* 64 (/ 1 (pow x 12))) 1))>
#<alt 64>
#<alt 64>
#<alt (+ 64 (* -1 (pow x 12)))>
#<alt (+ 64 (* -1 (pow x 12)))>
#<alt (* -1 (pow x 12))>
#<alt (* -1 (pow x 12))>
#<alt (* (pow x 12) (- (* 64 (/ 1 (pow x 12))) 1))>
#<alt (* (pow x 12) (- (* 64 (/ 1 (pow x 12))) 1))>
#<alt (* -1 (pow x 12))>
#<alt (* -1 (pow x 12))>
#<alt (* (pow x 12) (- (* 64 (/ 1 (pow x 12))) 1))>
#<alt (* (pow x 12) (- (* 64 (/ 1 (pow x 12))) 1))>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/12 (pow x 2))>
#<alt (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* 1/360 (pow x 4))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* 1/360 (pow x 4))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/360 (pow x 3))>
#<alt (* 1/360 (pow x 3))>
#<alt (* 1/360 (pow x 3))>
#<alt (* 1/360 (pow x 3))>
#<alt (* 1/360 (pow x 3))>
#<alt (* 1/360 (pow x 3))>
#<alt (* 1/360 (pow x 3))>
#<alt (* 1/360 (pow x 3))>
#<alt (* 1/360 (pow x 3))>
#<alt (* 1/360 (pow x 3))>
#<alt (* 1/360 (pow x 3))>
#<alt (* 1/360 (pow x 3))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (* -2 (pow x 2))>
#<alt (* (pow x 2) (- (pow x 2) 2))>
#<alt (* (pow x 2) (- (pow x 2) 2))>
#<alt (* (pow x 2) (- (pow x 2) 2))>
#<alt (pow x 4)>
#<alt (* (pow x 4) (- 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (pow x 4)>
#<alt (* (pow x 4) (- 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1 (* 2 (/ 1 (pow x 2)))))>

Calls

72 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/ (* (- 64 (* (* (* x (* x x)) (* x (* x x))) (* (* x (* x x)) (* x (* x x))))) 1) (* (- 8 (* (* x (* x x)) (* x (* x x)))) (+ 4 (* (* x x) (- (* x x) 2)))))
1.0ms	x	@	inf	(* (* x x) (+ 1 (* x (* x (* x (* x 1/360))))))
1.0ms	x	@	0	(/ (* (- 64 (* (* (* x (* x x)) (* x (* x x))) (* (* x (* x x)) (* x (* x x))))) 1) (* (- 8 (* (* x (* x x)) (* x (* x x)))) (+ 4 (* (* x x) (- (* x x) 2)))))
0.0ms	x	@	inf	(/ 2 (/ (* (- 64 (* (* (* x (* x x)) (* x (* x x))) (* (* x (* x x)) (* x (* x x))))) 1) (* (- 8 (* (* x (* x x)) (* x (* x x)))) (+ 4 (* (* x x) (- (* x x) 2))))))
0.0ms	x	@	inf	(/ 2 (+ 2 (* (* x x) (+ 1 (* x (* x (* x (* x 1/360))))))))

rewrite329.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

3086×	`-lowering-.f32`
3086×	`-lowering-.f64`
3038×	`fma-lowering-fma.f32`
3038×	`fma-lowering-fma.f64`
1822×	`prod-diff`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	42	287
1	301	221
2	2688	207
0	8181	207

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 483

Calls

Call 1

Inputs
(/ 2 (+ (* x (* x (+ 1 (* (* x x) (+ 1/12 (* x (* x 1/360))))))) 2))
(+ (* x (* x (+ 1 (* (* x x) (+ 1/12 (* x (* x 1/360))))))) 2)
(* x (* x (+ 1 (* (* x x) (+ 1/12 (* x (* x 1/360)))))))
(* x (+ 1 (* (* x x) (+ 1/12 (* x (* x 1/360))))))
(/ 2 (* x x))
(* x x)
(/ 2 (* x (* x (+ 1 (* (* x x) 1/12)))))
(* x (* x (+ 1 (* (* x x) 1/12))))
(* x (+ 1 (* (* x x) 1/12)))
(+ 1 (* (* x x) 1/12))
(/ 2 (+ 2 (* (* x x) (+ 1 (* x (* x (* x (* x 1/360))))))))
(+ 2 (* (* x x) (+ 1 (* x (* x (* x (* x 1/360)))))))
(* (* x x) (+ 1 (* x (* x (* x (* x 1/360))))))
(/ 2 (/ (* (- 64 (* (* (* x (* x x)) (* x (* x x))) (* (* x (* x x)) (* x (* x x))))) 1) (* (- 8 (* (* x (* x x)) (* x (* x x)))) (+ 4 (* (* x x) (- (* x x) 2))))))
(/ (* (- 64 (* (* (* x (* x x)) (* x (* x x))) (* (* x (* x x)) (* x (* x x))))) 1) (* (- 8 (* (* x (* x x)) (* x (* x x)))) (+ 4 (* (* x x) (- (* x x) 2)))))
(* (- 64 (* (* (* x (* x x)) (* x (* x x))) (* (* x (* x x)) (* x (* x x))))) 1)
(- 64 (* (* (* x (* x x)) (* x (* x x))) (* (* x (* x x)) (* x (* x x)))))
(* x 1/360)
(* (* x x) (+ 1/12 (* x (* x 1/360))))
(* x (* x 1/360))
(* (* x x) 1/12)
(* x (* x (* x 1/360)))
(* x (* x x))
(* (* x x) (- (* x x) 2))

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))))))
(/.f64 #s(literal 2 binary64) (neg.f64 (+.f64 #s(literal -2 binary64) (neg.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal -2 binary64) (+.f64 #s(literal -2 binary64) (neg.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))))) #s(literal 2 binary64))))
(pow.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))))) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal 1/360 binary64))))))))))))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal 1/360 binary64))))))))))))
(.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (neg.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal 1/360 binary64))))))))))) #s(literal 2 binary64))
(.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))))) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))))) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))))))))) (+.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))))) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))))) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))))))
(.f64 (/.f64 #s(literal 2 binary64) (+.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))))) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))))) #s(literal -4 binary64))) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))))) #s(literal -2 binary64)))
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(.f64 (-.f64 #s(literal 4096 binary64) (.f64 (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 64 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))))))))
(*.f64 x #s(literal 1/360 binary64))
(*.f64 #s(literal 1/360 binary64) x)
(+.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/360 binary64))))
(+.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/360 binary64))) (.f64 (.f64 x x) #s(literal 1/12 binary64)))
(fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/360 binary64)) (.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(fma.f64 x (.f64 x #s(literal 1/12 binary64)) (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/360 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/360 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/360 binary64))) (.f64 (.f64 x x) #s(literal 1/12 binary64)))
(fma.f64 (.f64 x x) #s(literal 1/12 binary64) (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/360 binary64))))
(fma.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/360 binary64))) (.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(fma.f64 #s(literal 1/12 binary64) (.f64 x x) (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/360 binary64))))
(fma.f64 (.f64 x #s(literal 1/360 binary64)) (.f64 x (.f64 x x)) (.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(fma.f64 (.f64 x (.f64 x #s(literal 1/360 binary64))) (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/360 binary64))))
(fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/360 binary64)) x (.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(fma.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/360 binary64))) #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))
(fma.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/360 binary64)) (.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/360 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(fma.f64 (.f64 x #s(literal 1/12 binary64)) x (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/360 binary64))))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/360 binary64))) x (.f64 (.f64 x x) #s(literal 1/12 binary64)))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/46656000 binary64))))) (+.f64 (.f64 #s(literal 1/144 binary64) (.f64 x (.f64 x (.f64 x x)))) (-.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64)) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/360 binary64)))))))
(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/1728 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/46656000 binary64))))) (+.f64 #s(literal 1/144 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/360 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64)))) (-.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal 1/1728 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/46656000 binary64)))) (.f64 x x)) (+.f64 #s(literal 1/144 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/360 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64))) (.f64 x x)) (-.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 1/144 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64)) (.f64 x (.f64 x (.f64 x x))))) (-.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/360 binary64)))))
(.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))
(.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal 1/360 binary64)))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))
(.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))) (.f64 x x))
(.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal 1/360 binary64)))))) #s(literal 1 binary64))
(.f64 (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))) x)
(.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))) (*.f64 x x))
(.f64 x (.f64 x #s(literal 1/360 binary64)))
(.f64 (.f64 x x) #s(literal 1/360 binary64))
(.f64 #s(literal 1/360 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/360 binary64)) x)
(.f64 x (.f64 x #s(literal 1/12 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(.f64 #s(literal 1/12 binary64) (.f64 x x))
(.f64 (.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64))
(.f64 (.f64 x #s(literal 1/12 binary64)) x)
(.f64 x (.f64 x (*.f64 x #s(literal 1/360 binary64))))
(.f64 (.f64 x x) (*.f64 x #s(literal 1/360 binary64)))
(.f64 (.f64 x #s(literal 1/360 binary64)) (*.f64 x x))
(.f64 (.f64 x (*.f64 x #s(literal 1/360 binary64))) x)
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/360 binary64))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 1 binary64)))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (.f64 x (.f64 x x)) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(.f64 x (.f64 x x))
(.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))
(.f64 (.f64 x x) x)
(.f64 (.f64 x (*.f64 x x)) #s(literal 1 binary64))
(.f64 (.f64 x (*.f64 x x)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (.f64 x (*.f64 x x)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (*.f64 x x) #s(literal -2 binary64)))
(+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 #s(literal -2 binary64) (*.f64 x x)))
(fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 x x) #s(literal -2 binary64)))
(fma.f64 x (.f64 x (.f64 x x)) (.f64 #s(literal -2 binary64) (.f64 x x)))
(fma.f64 (.f64 x x) (.f64 x x) (.f64 (.f64 x x) #s(literal -2 binary64)))
(fma.f64 (.f64 x x) (.f64 x x) (.f64 #s(literal -2 binary64) (.f64 x x)))
(fma.f64 (.f64 x (.f64 x x)) x (.f64 (.f64 x x) #s(literal -2 binary64)))
(fma.f64 (.f64 x (.f64 x x)) x (.f64 #s(literal -2 binary64) (.f64 x x)))
(/.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal -8 binary64))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (.f64 x x)))))
(/.f64 (.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -4 binary64))) (+.f64 #s(literal 2 binary64) (.f64 x x)))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal -8 binary64)) (.f64 x x)) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (.f64 x x)))))
(/.f64 (.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -4 binary64)) (.f64 x x)) (+.f64 #s(literal 2 binary64) (.f64 x x)))
(.f64 x (.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))
(.f64 (.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64)))
(.f64 (+.f64 (.f64 x x) #s(literal -2 binary64)) (*.f64 x x))
(.f64 (.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))) x)

simplify262.0ms (3%)

Algorithm

1×	egg-herbie

Rules

4578×	`-lowering-.f32`
4578×	`-lowering-.f64`
1648×	`/-lowering-/.f32`
1648×	`/-lowering-/.f64`
1552×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	208	2312
1	604	2139
2	1645	2120
3	6761	2115
0	8087	2115

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

Inputs
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(/ 720 (pow x 6))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))
(/ 720 (pow x 6))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* 1/360 (pow x 5))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/360 (pow x 5))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 2 (pow x 2))
(/ (+ 2 (* -1/6 (pow x 2))) (pow x 2))
(/ (+ 2 (* (pow x 2) (- (* 1/72 (pow x 2)) 1/6))) (pow x 2))
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/72 (* -1/864 (pow x 2)))) 1/6))) (pow x 2))
(/ 24 (pow x 4))
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 24 (/ 3456 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 24 (/ 3456 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 41472 (/ 1 (pow x 6))))) (pow x 4))
(/ 24 (pow x 4))
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 24 (/ 3456 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 24 (/ 3456 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 41472 (/ 1 (pow x 6))))) (pow x 4))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* 1/12 (pow x 2))))
(* 1/12 (pow x 3))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* 1/12 (pow x 3))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
1
(+ 1 (* 1/12 (pow x 2)))
(+ 1 (* 1/12 (pow x 2)))
(+ 1 (* 1/12 (pow x 2)))
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/4 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/4 (* -91/720 (pow x 2)))) 1/2)))
(/ 720 (pow x 6))
(/ (- 720 (* 259200 (/ 1 (pow x 4)))) (pow x 6))
(/ (+ 720 (* -1 (/ (+ 259200 (* 518400 (/ 1 (pow x 2)))) (pow x 4)))) (pow x 6))
(/ (- (+ 720 (* 93312000 (/ 1 (pow x 8)))) (+ (* 259200 (/ 1 (pow x 4))) (/ 518400 (pow x 6)))) (pow x 6))
(/ 720 (pow x 6))
(/ (- 720 (* 259200 (/ 1 (pow x 4)))) (pow x 6))
(/ (+ 720 (* -1 (/ (+ 259200 (* 518400 (/ 1 (pow x 2)))) (pow x 4)))) (pow x 6))
(/ (- (+ 720 (* 93312000 (/ 1 (pow x 8)))) (+ (* 259200 (/ 1 (pow x 4))) (/ 518400 (pow x 6)))) (pow x 6))
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/360 (pow x 4)))))
(+ 2 (* (pow x 2) (+ 1 (* 1/360 (pow x 4)))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (/ 1 (pow x 4))))
(* (pow x 6) (+ 1/360 (+ (/ 1 (pow x 4)) (/ 2 (pow x 6)))))
(* (pow x 6) (+ 1/360 (+ (/ 1 (pow x 4)) (/ 2 (pow x 6)))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (/ 1 (pow x 4))))
(* (pow x 6) (+ 1/360 (+ (/ 1 (pow x 4)) (/ 2 (pow x 6)))))
(* (pow x 6) (+ 1/360 (+ (/ 1 (pow x 4)) (/ 2 (pow x 6)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/360 (pow x 4))))
(* (pow x 2) (+ 1 (* 1/360 (pow x 4))))
(* (pow x 2) (+ 1 (* 1/360 (pow x 4))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (/ 1 (pow x 4))))
(* (pow x 6) (+ 1/360 (/ 1 (pow x 4))))
(* (pow x 6) (+ 1/360 (/ 1 (pow x 4))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (/ 1 (pow x 4))))
(* (pow x 6) (+ 1/360 (/ 1 (pow x 4))))
(* (pow x 6) (+ 1/360 (/ 1 (pow x 4))))
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)))))
64
64
(+ 64 (* -1 (pow x 12)))
(+ 64 (* -1 (pow x 12)))
(* -1 (pow x 12))
(* -1 (pow x 12))
(* (pow x 12) (- (* 64 (/ 1 (pow x 12))) 1))
(* (pow x 12) (- (* 64 (/ 1 (pow x 12))) 1))
(* -1 (pow x 12))
(* -1 (pow x 12))
(* (pow x 12) (- (* 64 (/ 1 (pow x 12))) 1))
(* (pow x 12) (- (* 64 (/ 1 (pow x 12))) 1))
64
64
(+ 64 (* -1 (pow x 12)))
(+ 64 (* -1 (pow x 12)))
(* -1 (pow x 12))
(* -1 (pow x 12))
(* (pow x 12) (- (* 64 (/ 1 (pow x 12))) 1))
(* (pow x 12) (- (* 64 (/ 1 (pow x 12))) 1))
(* -1 (pow x 12))
(* -1 (pow x 12))
(* (pow x 12) (- (* 64 (/ 1 (pow x 12))) 1))
(* (pow x 12) (- (* 64 (/ 1 (pow x 12))) 1))
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(* 1/360 (pow x 4))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 4))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/360 (pow x 3))
(* 1/360 (pow x 3))
(* 1/360 (pow x 3))
(* 1/360 (pow x 3))
(* 1/360 (pow x 3))
(* 1/360 (pow x 3))
(* 1/360 (pow x 3))
(* 1/360 (pow x 3))
(* 1/360 (pow x 3))
(* 1/360 (pow x 3))
(* 1/360 (pow x 3))
(* 1/360 (pow x 3))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* -2 (pow x 2))
(* (pow x 2) (- (pow x 2) 2))
(* (pow x 2) (- (pow x 2) 2))
(* (pow x 2) (- (pow x 2) 2))
(pow x 4)
(* (pow x 4) (- 1 (* 2 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1 (* 2 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1 (* 2 (/ 1 (pow x 2)))))
(pow x 4)
(* (pow x 4) (- 1 (* 2 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1 (* 2 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1 (* 2 (/ 1 (pow x 2)))))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 5/24 binary64))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 5/24 binary64) (.f64 x (.f64 x #s(literal -61/720 binary64)))))))))
(/ 720 (pow x 6))
(/.f64 #s(literal 720 binary64) (pow.f64 x #s(literal 6 binary64)))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/.f64 (+.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (.f64 x x))) (/.f64 #s(literal 388800 binary64) (.f64 x (.f64 x (.f64 x x))))) (pow.f64 x #s(literal 6 binary64)))
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))
(/.f64 (+.f64 #s(literal 720 binary64) (+.f64 (/.f64 #s(literal 388800 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal -21600 binary64) (.f64 x x)) (/.f64 #s(literal -4406400 binary64) (pow.f64 x #s(literal 6 binary64)))))) (pow.f64 x #s(literal 6 binary64)))
(/ 720 (pow x 6))
(/.f64 #s(literal 720 binary64) (pow.f64 x #s(literal 6 binary64)))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/.f64 (+.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (.f64 x x))) (/.f64 #s(literal 388800 binary64) (.f64 x (.f64 x (.f64 x x))))) (pow.f64 x #s(literal 6 binary64)))
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))
(/.f64 (+.f64 #s(literal 720 binary64) (+.f64 (/.f64 #s(literal 388800 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal -21600 binary64) (.f64 x x)) (/.f64 #s(literal -4406400 binary64) (pow.f64 x #s(literal 6 binary64)))))) (pow.f64 x #s(literal 6 binary64)))
2
#s(literal 2 binary64)
(+ 2 (pow x 2))
(+.f64 #s(literal 2 binary64) (*.f64 x x))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))))))))
(* 1/360 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/12 binary64) (.f64 x x)) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x x)) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(* 1/360 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/12 binary64) (.f64 x x)) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x x)) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64)))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64)))))))
(* 1/360 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/12 binary64) (.f64 x x)) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/12 binary64) (.f64 x x)) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* 1/360 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/12 binary64) (.f64 x x)) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/12 binary64) (.f64 x x)) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (*.f64 x x) #s(literal 1/360 binary64)))))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (*.f64 x x) #s(literal 1/360 binary64)))))))
(* 1/360 (pow x 5))
(.f64 x (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/360 binary64)))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) x))
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (.f64 x x)) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (.f64 x x)) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))
(* 1/360 (pow x 5))
(.f64 x (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/360 binary64)))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) x))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1/12 binary64)) x) x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1/12 binary64)) x) x))))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ (+ 2 (* -1/6 (pow x 2))) (pow x 2))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x))
(/ (+ 2 (* (pow x 2) (- (* 1/72 (pow x 2)) 1/6))) (pow x 2))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) #s(literal 1/72 binary64))))) (*.f64 x x))
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/72 (* -1/864 (pow x 2)))) 1/6))) (pow x 2))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/72 binary64) (.f64 (.f64 x x) #s(literal -1/864 binary64)))))))) (*.f64 x x))
(/ 24 (pow x 4))
(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))
(/ (- (+ 24 (/ 3456 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/.f64 (+.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (.f64 x x))) (/.f64 #s(literal 3456 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (*.f64 x x))))
(/ (- (+ 24 (/ 3456 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 41472 (/ 1 (pow x 6))))) (pow x 4))
(/.f64 (+.f64 (/.f64 #s(literal 3456 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (.f64 x x))) (/.f64 #s(literal -41472 binary64) (pow.f64 x #s(literal 6 binary64))))) (.f64 x (.f64 x (*.f64 x x))))
(/ 24 (pow x 4))
(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))
(/ (- (+ 24 (/ 3456 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/.f64 (+.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (.f64 x x))) (/.f64 #s(literal 3456 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (*.f64 x x))))
(/ (- (+ 24 (/ 3456 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 41472 (/ 1 (pow x 6))))) (pow x 4))
(/.f64 (+.f64 (/.f64 #s(literal 3456 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (.f64 x x))) (/.f64 #s(literal -41472 binary64) (pow.f64 x #s(literal 6 binary64))))) (.f64 x (.f64 x (*.f64 x x))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(* 1/12 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/12 binary64))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(* 1/12 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/12 binary64))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(* x (+ 1 (* 1/12 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(* x (+ 1 (* 1/12 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(* 1/12 (pow x 3))
(.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(* 1/12 (pow x 3))
(.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* 1/12 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))
(+ 1 (* 1/12 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))
(+ 1 (* 1/12 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
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(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
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(.f64 x (.f64 x (*.f64 x x)))
(* (pow x 4) (- 1 (* 2 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))
(* (pow x 4) (- 1 (* 2 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))
(* (pow x 4) (- 1 (* 2 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(* (pow x 4) (- 1 (* 2 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))
(* (pow x 4) (- 1 (* 2 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))
(* (pow x 4) (- 1 (* 2 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))

eval400.0ms (4.6%)

Compiler: Compiled 45244 to 2787 computations (93.8% saved)

prune154.0ms (1.8%)

Pruning

38 alts after pruning (30 fresh and 8 done)

	Pruned	Kept	Total
New	1139	22	1161
Fresh	7	8	15
Picked	3	2	5
Done	0	6	6
Total	1149	38	1187

Accuracy

100.0%

Counts

1187 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.5%	(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))) x)
	46.5%	(/.f64 (/.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))) x)
	33.7%	(/.f64 (/.f64 #s(literal 2 binary64) x) x)
	45.6%	(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x)))
	2.6%	(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x))
	43.3%	(/.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 x x) (-.f64 (.f64 x x) #s(literal 2 binary64))) (.f64 (.f64 x x) (-.f64 (.f64 x x) #s(literal 2 binary64)))))) (.f64 (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (-.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (-.f64 (*.f64 x x) #s(literal 2 binary64))))))
	46.8%	(/.f64 #s(literal 24 binary64) (.f64 (.f64 x x) (*.f64 x x)))
	46.8%	(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (*.f64 x x))))
	44.4%	(/.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/360 binary64))))) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/360 binary64))))) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/360 binary64)))))))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/360 binary64))))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/360 binary64))))) #s(literal 2 binary64))))))
	43.6%	(/.f64 #s(literal 2 binary64) (/.f64 (.f64 (-.f64 #s(literal 64 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 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (+.f64 #s(literal 4 binary64) (.f64 x (.f64 x #s(literal -2 binary64)))))))
	45.7%	(/.f64 #s(literal 2 binary64) (/.f64 (.f64 (-.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 4 binary64) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 2 binary64) (*.f64 x x)))))
	44.6%	(/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))) (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal 1/360 binary64)))))) #s(literal 1 binary64))))) #s(literal 2 binary64)))
	93.4%	(/.f64 #s(literal 2 binary64) (+.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))) x) #s(literal 2 binary64)))
	88.1%	(/.f64 #s(literal 2 binary64) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))) #s(literal 2 binary64)))
	23.5%	(/.f64 #s(literal 2 binary64) (+.f64 (.f64 x (/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))) (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))))) (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))) (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))) (.f64 x (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))))))) #s(literal 2 binary64)))
	51.3%	(/.f64 #s(literal 2 binary64) (+.f64 (.f64 x (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal 1/360 binary64))))))))) #s(literal 2 binary64)))
	93.4%	(/.f64 #s(literal 2 binary64) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))))))) #s(literal 2 binary64)))
✓	93.4%	(/.f64 #s(literal 2 binary64) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))) #s(literal 2 binary64)))
	93.1%	(/.f64 #s(literal 2 binary64) (+.f64 (.f64 x (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/360 binary64)))) #s(literal 2 binary64)))
	44.5%	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/46656000 binary64))))) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/360 binary64))) (-.f64 (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/360 binary64))) #s(literal 1 binary64)))))))
	93.2%	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/360 binary64))))) x)))
	93.2%	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/360 binary64))))))))
✓	93.4%	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))))))
✓	75.1%	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
	47.1%	(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 1/12 binary64)) x)))))
	46.8%	(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
	46.8%	(/.f64 #s(literal 2 binary64) (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x)))))
✓	34.1%	(/.f64 #s(literal 2 binary64) (*.f64 x x))
	47.1%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64)))) (/.f64 #s(literal 2 binary64) x)))
	34.1%	(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) x)))
✓	100.0%	(/.f64 #s(literal 1 binary64) (cosh.f64 x))
	43.7%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 5/24 binary64) (.f64 (.f64 x x) #s(literal -1/12 binary64)))))))
✓	43.8%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 5/24 binary64)))))
✓	1.1%	(.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) (exp.f64 (*.f64 x #s(literal 2 binary64))))) (-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x)))
	46.6%	(.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 4 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))))))) (-.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))))))
	44.6%	(.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))))))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))) #s(literal 2 binary64)))))
	33.7%	(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x))
✓	44.5%	#s(literal 1 binary64)

Compiler

Compiled 2656 to 759 computations (71.4% saved)

regimes50.0ms (0.6%)

Counts

52 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 #s(literal 24 binary64) (.f64 (.f64 x x) (*.f64 x x)))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x)))))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 x x))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 5/24 binary64)))))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 1/12 binary64)) x)))))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))))
(/.f64 (/.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))) x)
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))) x)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) x))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64)))) (/.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))))
(/.f64 #s(literal 2 binary64) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x)))
(/.f64 #s(literal 2 binary64) (+.f64 (.f64 x (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/360 binary64)))) #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 5/24 binary64) (.f64 (.f64 x x) #s(literal -61/720 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 5/24 binary64) (.f64 (.f64 x x) #s(literal -1/12 binary64)))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/360 binary64)))))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/360 binary64))))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/360 binary64))))) x)))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))))))
(/.f64 #s(literal 2 binary64) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))))))) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))) x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (/.f64 (.f64 (-.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 4 binary64) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 2 binary64) (*.f64 x x)))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))
(/.f64 #s(literal 2 binary64) (+.f64 (.f64 x (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal 1/360 binary64))))))))) #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 x x) (-.f64 (.f64 x x) #s(literal 2 binary64))) (.f64 (.f64 x x) (-.f64 (.f64 x x) #s(literal 2 binary64)))))) (.f64 (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (-.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (-.f64 (*.f64 x x) #s(literal 2 binary64))))))
(/.f64 #s(literal 2 binary64) (/.f64 (.f64 (-.f64 #s(literal 64 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 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (+.f64 #s(literal 4 binary64) (.f64 x (.f64 x #s(literal -2 binary64)))))))
(/.f64 #s(literal 2 binary64) (/.f64 (.f64 (-.f64 #s(literal 64 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 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (-.f64 (*.f64 x x) #s(literal 2 binary64)))))))
(.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 4 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))))))) (-.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/46656000 binary64))))) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/360 binary64))) (-.f64 (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/360 binary64))) #s(literal 1 binary64)))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))) (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))))) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal 1/360 binary64))))) #s(literal 1 binary64)))))))
(/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))) (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal 1/360 binary64)))))) #s(literal 1 binary64))))) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/360 binary64))))) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/360 binary64))))) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/360 binary64)))))))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/360 binary64))))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/360 binary64))))) #s(literal 2 binary64))))))
(/.f64 #s(literal 2 binary64) (/.f64 (.f64 (+.f64 #s(literal 512 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.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 1 binary64)) (.f64 (+.f64 #s(literal 64 binary64) (-.f64 (.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 8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (-.f64 (*.f64 x x) #s(literal 2 binary64)))))))
(/.f64 #s(literal 2 binary64) (/.f64 (.f64 (-.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))))) (-.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))))))
(.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))))))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))) #s(literal 2 binary64)))))
(/.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))) #s(literal 2 binary64)))))))
(/.f64 #s(literal 2 binary64) (+.f64 (.f64 x (/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))) (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))))) (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))) (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))) (.f64 x (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))))))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) (exp.f64 (*.f64 x #s(literal 2 binary64))))) (-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x)))

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

Calls

3 calls:

14.0ms	x
13.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
11.0ms	(/.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)

regimes18.0ms (0.2%)

Counts

49 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 #s(literal 24 binary64) (.f64 (.f64 x x) (*.f64 x x)))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x)))))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 x x))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 5/24 binary64)))))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 1/12 binary64)) x)))))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))))
(/.f64 (/.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))) x)
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))) x)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) x))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64)))) (/.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))))
(/.f64 #s(literal 2 binary64) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x)))
(/.f64 #s(literal 2 binary64) (+.f64 (.f64 x (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/360 binary64)))) #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 5/24 binary64) (.f64 (.f64 x x) #s(literal -61/720 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 5/24 binary64) (.f64 (.f64 x x) #s(literal -1/12 binary64)))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/360 binary64)))))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/360 binary64))))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/360 binary64))))) x)))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))))))
(/.f64 #s(literal 2 binary64) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))))))) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))) x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (/.f64 (.f64 (-.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 4 binary64) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 2 binary64) (*.f64 x x)))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))
(/.f64 #s(literal 2 binary64) (+.f64 (.f64 x (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal 1/360 binary64))))))))) #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 x x) (-.f64 (.f64 x x) #s(literal 2 binary64))) (.f64 (.f64 x x) (-.f64 (.f64 x x) #s(literal 2 binary64)))))) (.f64 (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (-.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (-.f64 (*.f64 x x) #s(literal 2 binary64))))))
(/.f64 #s(literal 2 binary64) (/.f64 (.f64 (-.f64 #s(literal 64 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 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (+.f64 #s(literal 4 binary64) (.f64 x (.f64 x #s(literal -2 binary64)))))))
(/.f64 #s(literal 2 binary64) (/.f64 (.f64 (-.f64 #s(literal 64 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 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (-.f64 (*.f64 x x) #s(literal 2 binary64)))))))
(.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 4 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))))))) (-.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/46656000 binary64))))) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/360 binary64))) (-.f64 (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/360 binary64))) #s(literal 1 binary64)))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))) (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))))) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal 1/360 binary64))))) #s(literal 1 binary64)))))))
(/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))) (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal 1/360 binary64)))))) #s(literal 1 binary64))))) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/360 binary64))))) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/360 binary64))))) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/360 binary64)))))))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/360 binary64))))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/360 binary64))))) #s(literal 2 binary64))))))
(/.f64 #s(literal 2 binary64) (/.f64 (.f64 (+.f64 #s(literal 512 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.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 1 binary64)) (.f64 (+.f64 #s(literal 64 binary64) (-.f64 (.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 8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (-.f64 (*.f64 x x) #s(literal 2 binary64)))))))
(/.f64 #s(literal 2 binary64) (/.f64 (.f64 (-.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))))) (-.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))))))
(.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))))))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))) #s(literal 2 binary64)))))
(/.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))) #s(literal 2 binary64)))))))
(/.f64 #s(literal 2 binary64) (+.f64 (.f64 x (/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))) (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))))) (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))) (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))) (.f64 x (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))))))) #s(literal 2 binary64)))

Outputs

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

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

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
96.6%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes16.0ms (0.2%)

Counts

39 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 #s(literal 24 binary64) (.f64 (.f64 x x) (*.f64 x x)))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x)))))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 x x))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 5/24 binary64)))))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 1/12 binary64)) x)))))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))))
(/.f64 (/.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))) x)
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))) x)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) x))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64)))) (/.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))))
(/.f64 #s(literal 2 binary64) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x)))
(/.f64 #s(literal 2 binary64) (+.f64 (.f64 x (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/360 binary64)))) #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 5/24 binary64) (.f64 (.f64 x x) #s(literal -61/720 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 5/24 binary64) (.f64 (.f64 x x) #s(literal -1/12 binary64)))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/360 binary64)))))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/360 binary64))))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/360 binary64))))) x)))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))))))
(/.f64 #s(literal 2 binary64) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))))))) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))) x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (/.f64 (.f64 (-.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 4 binary64) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 2 binary64) (*.f64 x x)))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))
(/.f64 #s(literal 2 binary64) (+.f64 (.f64 x (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal 1/360 binary64))))))))) #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 x x) (-.f64 (.f64 x x) #s(literal 2 binary64))) (.f64 (.f64 x x) (-.f64 (.f64 x x) #s(literal 2 binary64)))))) (.f64 (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (-.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (-.f64 (*.f64 x x) #s(literal 2 binary64))))))
(/.f64 #s(literal 2 binary64) (/.f64 (.f64 (-.f64 #s(literal 64 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 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (+.f64 #s(literal 4 binary64) (.f64 x (.f64 x #s(literal -2 binary64)))))))
(/.f64 #s(literal 2 binary64) (/.f64 (.f64 (-.f64 #s(literal 64 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 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (-.f64 (*.f64 x x) #s(literal 2 binary64)))))))

Outputs

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

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

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
95.9%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes14.0ms (0.2%)

Counts

34 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 #s(literal 24 binary64) (.f64 (.f64 x x) (*.f64 x x)))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x)))))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 x x))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 5/24 binary64)))))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 1/12 binary64)) x)))))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))))
(/.f64 (/.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))) x)
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))) x)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) x))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64)))) (/.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))))
(/.f64 #s(literal 2 binary64) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x)))
(/.f64 #s(literal 2 binary64) (+.f64 (.f64 x (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/360 binary64)))) #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 5/24 binary64) (.f64 (.f64 x x) #s(literal -61/720 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 5/24 binary64) (.f64 (.f64 x x) #s(literal -1/12 binary64)))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/360 binary64)))))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/360 binary64))))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/360 binary64))))) x)))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))))))
(/.f64 #s(literal 2 binary64) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))))))) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))) x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (/.f64 (.f64 (-.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 4 binary64) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 2 binary64) (*.f64 x x)))))

Outputs

(/.f64 #s(literal 2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 2 binary64) (*.f64 x x)))))

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
95.7%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes11.0ms (0.1%)

Counts

33 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 #s(literal 24 binary64) (.f64 (.f64 x x) (*.f64 x x)))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x)))))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 x x))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 5/24 binary64)))))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 1/12 binary64)) x)))))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))))
(/.f64 (/.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))) x)
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))) x)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) x))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64)))) (/.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))))
(/.f64 #s(literal 2 binary64) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x)))
(/.f64 #s(literal 2 binary64) (+.f64 (.f64 x (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/360 binary64)))) #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 5/24 binary64) (.f64 (.f64 x x) #s(literal -61/720 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 5/24 binary64) (.f64 (.f64 x x) #s(literal -1/12 binary64)))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/360 binary64)))))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/360 binary64))))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/360 binary64))))) x)))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))))))
(/.f64 #s(literal 2 binary64) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))))))) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))) x) #s(literal 2 binary64)))

Outputs

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
93.4%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes12.0ms (0.1%)

Counts

29 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 #s(literal 24 binary64) (.f64 (.f64 x x) (*.f64 x x)))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x)))))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 x x))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 5/24 binary64)))))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 1/12 binary64)) x)))))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))))
(/.f64 (/.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))) x)
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))) x)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) x))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64)))) (/.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))))
(/.f64 #s(literal 2 binary64) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x)))
(/.f64 #s(literal 2 binary64) (+.f64 (.f64 x (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/360 binary64)))) #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 5/24 binary64) (.f64 (.f64 x x) #s(literal -61/720 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 5/24 binary64) (.f64 (.f64 x x) #s(literal -1/12 binary64)))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/360 binary64)))))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/360 binary64))))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/360 binary64))))) x)))

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

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
93.2%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes9.0ms (0.1%)

Counts

26 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 #s(literal 24 binary64) (.f64 (.f64 x x) (*.f64 x x)))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x)))))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 x x))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 5/24 binary64)))))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 1/12 binary64)) x)))))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))))
(/.f64 (/.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))) x)
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))) x)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) x))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64)))) (/.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))))
(/.f64 #s(literal 2 binary64) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x)))
(/.f64 #s(literal 2 binary64) (+.f64 (.f64 x (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/360 binary64)))) #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 5/24 binary64) (.f64 (.f64 x x) #s(literal -61/720 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 5/24 binary64) (.f64 (.f64 x x) #s(literal -1/12 binary64)))))))

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
93.1%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes8.0ms (0.1%)

Counts

23 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 #s(literal 24 binary64) (.f64 (.f64 x x) (*.f64 x x)))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x)))))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 x x))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 5/24 binary64)))))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 1/12 binary64)) x)))))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))))
(/.f64 (/.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))) x)
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))) x)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) x))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64)))) (/.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))))
(/.f64 #s(literal 2 binary64) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x)))

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
88.1%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes13.0ms (0.1%)

Counts

17 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
88.1%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

Counts

13 → 2

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
88.1%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

Counts

12 → 2

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
88.1%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
75.1%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
75.0%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)

Outputs
#s(literal 1 binary64)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
44.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch11.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	2.1862588156442645e+51	1.5299984828508443e+53

Results

6.0ms

112×

valid

Compiler

Compiled 573 to 234 computations (59.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-div: 1.0ms (30.7% of total)

ival-exp: 1.0ms (30.7% of total)

ival-add: 1.0ms (30.7% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

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

bsearch5.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
4.0ms	4.150754559520595e+76	6.302897647837303e+77

Results

4.0ms

16×

valid

Compiler

Compiled 73 to 37 computations (49.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-exp: 3.0ms (87.1% of total)

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

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

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

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

bsearch11.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	2.1862588156442645e+51	1.5299984828508443e+53

Results

6.0ms

112×

valid

Compiler

Compiled 419 to 213 computations (49.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-div: 1.0ms (30.4% of total)

ival-exp: 1.0ms (30.4% of total)

ival-add: 1.0ms (30.4% of total)

ival-neg: 1.0ms (30.4% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch13.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.15474961482396637	2.7002443921141444

Results

8.0ms

112×

valid

Compiler

Compiled 223 to 157 computations (29.6% saved)

Precisions

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

ival-exp: 2.0ms (46.4% of total)

ival-div: 1.0ms (23.2% of total)

ival-add: 1.0ms (23.2% of total)

ival-neg: 1.0ms (23.2% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch12.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	0.15474961482396637	2.7002443921141444

Results

7.0ms

112×

valid

Compiler

Compiled 195 to 129 computations (33.8% saved)

Precisions

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

ival-exp: 2.0ms (49% of total)

ival-div: 1.0ms (24.5% of total)

ival-add: 1.0ms (24.5% of total)

ival-neg: 1.0ms (24.5% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch17.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	2.7002443921141444	12700.235491779962

Results

12.0ms

128×

valid

Compiler

Compiled 173 to 114 computations (34.1% saved)

Precisions

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

ival-div: 5.0ms (55.3% of total)

ival-exp: 2.0ms (22.1% of total)

ival-add: 1.0ms (11.1% of total)

ival-neg: 1.0ms (11.1% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch11.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	0.15474961482396637	2.7002443921141444

Results

7.0ms

112×

valid

Compiler

Compiled 83 to 66 computations (20.5% saved)

Precisions

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

ival-exp: 2.0ms (50.3% of total)

ival-div: 1.0ms (25.2% of total)

ival-add: 1.0ms (25.2% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

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

simplify27.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

118×	`unsub-neg_binary64`
110×	`neg-mul-1_binary64`
106×	`*-commutative_binary64`
82×	`+-commutative_binary64`
82×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	104	366
1	181	366
2	227	366
3	269	366
4	307	366
5	330	366
6	344	366
7	420	366
8	549	366
9	550	366

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(if (<=.f64 x #s(literal 6499999999999999955936166383350581847001104872636416 binary64)) (.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 4 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))))))) (-.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))))) (/.f64 #s(literal 2 binary64) (+.f64 (.f64 x (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/360 binary64)))) #s(literal 2 binary64))))
(if (<=.f64 x #s(literal 49999999999999999139130636277292928373873822357007948776987560108905577054208 binary64)) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))))) (/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (.f64 x x)))))
(if (<=.f64 x #s(literal 2399999999999999850807477239976319853127394232631296 binary64)) (/.f64 #s(literal 2 binary64) (/.f64 (.f64 (-.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 4 binary64) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 2 binary64) (.f64 x x))))) (/.f64 #s(literal 2 binary64) (+.f64 (.f64 x (.f64 x (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/360 binary64)))) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/360 binary64)))))))))
(/.f64 #s(literal 2 binary64) (+.f64 (.f64 x (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/360 binary64)))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) x))))))
(if (<=.f64 x #s(literal 6530219459687219/4503599627370496 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 5/24 binary64))))) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 1/12 binary64)) x))))))
(if (<=.f64 x #s(literal 4278419646001971/2251799813685248 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 5/24 binary64))))) (/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(if (<=.f64 x #s(literal 4165829655317709/1125899906842624 binary64)) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 x x))) (/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (.f64 x x)))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
#s(literal 1 binary64)

Outputs
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(if (<=.f64 x #s(literal 6499999999999999955936166383350581847001104872636416 binary64)) (.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 4 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))))))) (-.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))))) (/.f64 #s(literal 2 binary64) (+.f64 (.f64 x (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/360 binary64)))) #s(literal 2 binary64))))
(if (<=.f64 x #s(literal 6499999999999999955936166383350581847001104872636416 binary64)) (.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))) (.f64 x (.f64 x (-.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))))))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (-.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))))) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (.f64 x x)))))))))
(if (<=.f64 x #s(literal 49999999999999999139130636277292928373873822357007948776987560108905577054208 binary64)) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))))) (/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (.f64 x x)))))
(if (<=.f64 x #s(literal 49999999999999999139130636277292928373873822357007948776987560108905577054208 binary64)) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))))) (/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (.f64 x x)))))
(if (<=.f64 x #s(literal 2399999999999999850807477239976319853127394232631296 binary64)) (/.f64 #s(literal 2 binary64) (/.f64 (.f64 (-.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 4 binary64) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 2 binary64) (.f64 x x))))) (/.f64 #s(literal 2 binary64) (+.f64 (.f64 x (.f64 x (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/360 binary64)))) #s(literal 2 binary64))))
(if (<=.f64 x #s(literal 2399999999999999850807477239976319853127394232631296 binary64)) (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) (.f64 (+.f64 #s(literal 4 binary64) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 2 binary64) (.f64 x x))))) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (.f64 x x)))))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/360 binary64)))))))))
(/.f64 #s(literal 2 binary64) (+.f64 (.f64 x (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/360 binary64)))) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (.f64 x x))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) x))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))))))
(if (<=.f64 x #s(literal 6530219459687219/4503599627370496 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 5/24 binary64))))) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 1/12 binary64)) x))))))
(if (<=.f64 x #s(literal 6530219459687219/4503599627370496 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 5/24 binary64))))) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/12 binary64))))))))
(if (<=.f64 x #s(literal 4278419646001971/2251799813685248 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 5/24 binary64))))) (/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(if (<=.f64 x #s(literal 4165829655317709/1125899906842624 binary64)) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 x x))) (/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (.f64 x x)))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
#s(literal 1 binary64)

soundness2.6s (29.6%)

Rules

4578×	`-lowering-.f32`
4578×	`-lowering-.f64`
4192×	`-lowering-.f32`
4192×	`-lowering-.f64`
3954×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	152	1842
1	452	1725
2	1296	1673
3	3881	1656
0	8333	1656
0	208	2312
1	604	2139
2	1645	2120
3	6761	2115
0	8087	2115
0	7	15
1	37	12
2	275	12
3	2602	12
0	9652	12
0	174	1937
1	462	1892
2	1155	1878
3	3088	1864
4	6179	1864
0	8250	1864
0	30	185
1	207	157
2	1854	151
0	8210	151
0	42	287
1	301	221
2	2688	207
0	8181	207
0	66	279
1	170	260
2	460	256
3	1283	256
4	2683	256
5	4419	256
6	7120	256
0	8043	256

Stop Event

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

Compiler

Compiled 837 to 424 computations (49.3% saved)

preprocess74.0ms (0.8%)

Remove: (abs x)
Compiler: Compiled 782 to 252 computations (67.8% saved)

Iter	Nodes	Cost
0	12	24
1	30	24
2	61	24
3	108	24
4	191	24
5	294	24
6	384	24
7	482	24
8	523	24
9	541	24
10	565	24
11	573	24
0	7	8
1	14	8
2	21	8
3	25	8
4	34	8
5	41	8
6	49	8
7	57	8
8	60	8
9	61	8
0	61	8

Iter	Nodes	Cost
0	104	366
1	181	366
2	227	366
3	269	366
4	307	366
5	330	366
6	344	366
7	420	366
8	549	366
9	550	366

Iter	Nodes	Cost
0	12	24
1	30	24
2	61	24
3	108	24
4	191	24
5	294	24
6	384	24
7	482	24
8	523	24
9	541	24
10	565	24
11	573	24
0	7	8
1	14	8
2	21	8
3	25	8
4	34	8
5	41	8
6	49	8
7	57	8
8	60	8
9	61	8
0	61	8

Iter	Nodes	Cost
0	104	366
1	181	366
2	227	366
3	269	366
4	307	366
5	330	366
6	344	366
7	420	366
8	549	366
9	550	366

analyze0.0ms (0%)

sample732.0ms (8.4%)

preprocess27.0ms (0.3%)

explain69.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.1%)

localize28.0ms (0.3%)

series3.0ms (0%)

rewrite347.0ms (4%)

simplify226.0ms (2.6%)

eval45.0ms (0.5%)

prune49.0ms (0.6%)

simplify166.0ms (1.9%)

localize253.0ms (2.9%)

series24.0ms (0.3%)

rewrite417.0ms (4.8%)

simplify280.0ms (3.2%)

eval158.0ms (1.8%)

prune313.0ms (3.6%)

simplify49.0ms (0.6%)

localize233.0ms (2.7%)

series14.0ms (0.2%)

rewrite304.0ms (3.5%)

simplify267.0ms (3.1%)

eval78.0ms (0.9%)

prune93.0ms (1.1%)

simplify215.0ms (2.5%)

localize236.0ms (2.7%)

series17.0ms (0.2%)

rewrite329.0ms (3.8%)

simplify262.0ms (3%)

eval400.0ms (4.6%)

prune154.0ms (1.8%)

regimes50.0ms (0.6%)

regimes18.0ms (0.2%)

regimes16.0ms (0.2%)

regimes14.0ms (0.2%)

regimes11.0ms (0.1%)

regimes12.0ms (0.1%)

regimes9.0ms (0.1%)

regimes8.0ms (0.1%)

regimes13.0ms (0.1%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

regimes3.0ms (0%)

regimes5.0ms (0.1%)

regimes2.0ms (0%)

bsearch11.0ms (0.1%)

bsearch5.0ms (0.1%)

bsearch11.0ms (0.1%)

bsearch13.0ms (0.1%)

bsearch12.0ms (0.1%)

bsearch17.0ms (0.2%)

bsearch11.0ms (0.1%)

simplify27.0ms (0.3%)

soundness2.6s (29.6%)

preprocess74.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	12	24
1	30	24
2	61	24
3	108	24
4	191	24
5	294	24
6	384	24
7	482	24
8	523	24
9	541	24
10	565	24
11	573	24
0	7	8
1	14	8
2	21	8
3	25	8
4	34	8
5	41	8
6	49	8
7	57	8
8	60	8
9	61	8
0	61	8

Iter	Nodes	Cost
0	104	366
1	181	366
2	227	366
3	269	366
4	307	366
5	330	366
6	344	366
7	420	366
8	549	366
9	550	366