Metrics for Kahan's exp quotient

analyze2.0ms (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
50%	50%	50%	0%	0%	0%	0%	2
75%	75%	25%	0%	0%	0%	0%	3
87.5%	87.5%	12.5%	0%	0%	0%	0%	4
93.8%	93.7%	6.2%	0%	0%	0%	0%	5
96.9%	96.8%	3.1%	0%	0%	0%	0%	6
98.4%	98.4%	1.6%	0%	0%	0%	0%	7
99.2%	99.2%	0.8%	0%	0%	0%	0%	8
99.6%	99.6%	0.4%	0%	0%	0%	0%	9
99.8%	99.8%	0.2%	0%	0%	0%	0%	10
99.9%	99.9%	0.1%	0%	0%	0%	0%	11
100%	99.9%	0%	0%	0%	0%	0%	12

Compiler

Compiled 8 to 6 computations (25% saved)

Precisions

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

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

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

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

const: 0.0ms (0% of total)

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

sample998.0ms (9.7%)

Results

613.0ms	4000×	1	valid
179.0ms	4256×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 556.0ms

ival-exp: 321.0ms (57.7% of total)

ival-div: 97.0ms (17.4% of total)

ival-sub: 80.0ms (14.4% of total)

backward-pass: 44.0ms (7.9% of total)

const: 14.0ms (2.5% of total)

Bogosity

preprocess94.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

868×	`fnmadd-define`
842×	`sum3-define`
738×	`sum3-define`
710×	`fnmadd-define`
636×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	35	15
2	83	15
3	236	15
4	658	15
5	1261	15
6	2198	15
7	2949	15
8	3164	15
9	3188	15
0	5	4
1	14	4
2	18	4
3	24	4
4	35	4
5	49	4
6	86	4
7	160	4
8	285	4
9	512	4
10	925	4
11	1806	4
12	2152	4
13	2670	4
14	2695	4
15	2714	4
16	2722	4
0	2722	4

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(/ (- (exp x) 1) x)

Outputs
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)

Call 2

Inputs
(/ (- (exp x) 1) x)
(/ (- (exp (neg x)) 1) (neg x))
(neg (/ (- (exp (neg x)) 1) (neg x)))

Outputs
(/ (- (exp x) 1) x)
(/ (expm1 x) x)
(/ (- (exp (neg x)) 1) (neg x))
(/ (expm1 (neg x)) (neg x))
(neg (/ (- (exp (neg x)) 1) (neg x)))
(/ (expm1 (neg x)) x)

explain95.0ms (0.9%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
128	-	-	`(-.f64 (exp.f64 x) #s(literal 1 binary64))`
0	-	-	`x`
0	-	-	`(exp.f64 x)`
0	-	-	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
0	-	-	`#s(literal 1 binary64)`

Results

52.0ms	248×	1	valid
15.0ms	264×	0	valid

Compiler

Compiled 39 to 17 computations (56.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-exp: 23.0ms (60.8% of total)

ival-div: 6.0ms (15.9% of total)

ival-sub: 5.0ms (13.2% of total)

backward-pass: 3.0ms (7.9% of total)

const: 1.0ms (2.6% of total)

eval0.0ms (0%)

Compiler: Compiled 5 to 3 computations (40% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (expm1.f64 x) x)

Compiler

Compiled 5 to 3 computations (40% saved)

simplify52.0ms (0.5%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(expm1.f64 x)
✓	cost-diff	0	(/.f64 (expm1.f64 x) x)

Rules

842×	`sum3-define`
710×	`fnmadd-define`
586×	`fma-define`
368×	`sum5-define`
300×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	14	7
2	18	7
3	24	7
4	35	7
5	49	7
6	86	7
7	160	7
8	285	7
9	512	7
10	925	7
11	1806	7
12	2152	7
13	2670	7
14	2695	7
15	2714	7
16	2722	7
0	2722	7

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (- (exp x) 1) x)
(- (exp x) 1)
x

Outputs
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(- (exp x) 1)
(expm1.f64 x)
x

localize34.0ms (0.3%)

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(expm1.f64 x)
✓	accuracy	100.0%	(/.f64 (expm1.f64 x) x)

Results

21.0ms	124×	1	valid
7.0ms	132×	0	valid

Compiler

Compiled 9 to 4 computations (55.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

compiled-spec: 14.0ms (45.8% of total)

ival-exp: 9.0ms (29.5% of total)

ival-div: 3.0ms (9.8% of total)

ival-sub: 2.0ms (6.5% of total)

backward-pass: 2.0ms (6.5% of total)

const: 0.0ms (0% of total)

series2.0ms (0%)

Counts

2 → 24

Calls

Call 1

Inputs
#<alt (/ (- (exp x) 1) x)>
#<alt (- (exp x) 1)>

Outputs
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt x>
#<alt (* x (+ 1 (* 1/2 x)))>
#<alt (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))>
#<alt (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/ (- (exp x) 1) x)
0.0ms	x	@	inf	(/ (- (exp x) 1) x)
0.0ms	x	@	0	(/ (- (exp x) 1) x)
0.0ms	x	@	inf	(- (exp x) 1)
0.0ms	x	@	0	(- (exp x) 1)

rewrite315.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

3828×	`-lowering-.f32`
3828×	`-lowering-.f64`
3322×	`/-lowering-/.f32`
3322×	`/-lowering-/.f64`
1874×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	33	6
2	224	6
3	2378	6
0	9373	6

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 408

Calls

Call 1

Inputs
(/ (- (exp x) 1) x)
(- (exp x) 1)

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

simplify223.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

3496×	`sum4-define`
1504×	`-lowering-.f32`
1504×	`-lowering-.f64`
1498×	`fma-define`
1436×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	110
1	76	98
2	197	98
3	482	98
4	1007	98
5	1453	98
6	1654	98
7	1738	98
8	1856	98
9	2730	98
10	6192	98
11	7279	98
12	7606	98
13	7756	98
14	7869	98
0	9501	98

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 24

Calls

Call 1

Inputs
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)

Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/6 binary64)))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
x
(* x (+ 1 (* 1/2 x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)

eval49.0ms (0.5%)

Compiler: Compiled 10577 to 1205 computations (88.6% saved)

prune52.0ms (0.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	426	6	432
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	426	7	433

Accuracy

100.0%

Counts

433 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.7%	(/.f64 (-.f64 (.f64 x (exp.f64 x)) x) (.f64 x x))
▶	69.3%	(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))) x)
✓	100.0%	(/.f64 (expm1.f64 x) x)
▶	66.2%	(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/6 binary64)))))
▶	68.6%	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
▶	51.5%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
▶	50.9%	#s(literal 1 binary64)

Compiler

Compiled 127 to 93 computations (26.8% saved)

simplify212.0ms (2.1%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
✓	cost-diff	0	(*.f64 x #s(literal -1/6 binary64))
✓	cost-diff	0	(-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))
✓	cost-diff	0	(.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/6 binary64))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/6 binary64)))))
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))
✓	cost-diff	256	(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))) x)

Rules

2378×	`fma-lowering-fma.f32`
2378×	`fma-lowering-fma.f64`
2202×	`fma-define`
1582×	`-lowering-.f32`
1582×	`-lowering-.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	186
1	58	160
2	148	151
3	451	145
4	1185	145
5	2728	145
6	6754	145
0	8189	145

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))) x)
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24)))))))
x
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))
1
(* x (+ 1/2 (* x (+ 1/6 (* x 1/24)))))
(+ 1/2 (* x (+ 1/6 (* x 1/24))))
1/2
(* x (+ 1/6 (* x 1/24)))
(+ 1/6 (* x 1/24))
1/6
(* x 1/24)
1/24
1
(+ 1 (* 1/2 x))
1
(* 1/2 x)
1/2
x
(+ 1 (* x (- 1/2 (* x -1/6))))
1
(* x (- 1/2 (* x -1/6)))
x
(- 1/2 (* x -1/6))
1/2
(* x -1/6)
-1/6
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))
1
(* x (+ 1/2 (* x (+ 1/6 (* x 1/24)))))
x
(+ 1/2 (* x (+ 1/6 (* x 1/24))))
1/2
(* x (+ 1/6 (* x 1/24)))
(+ 1/6 (* x 1/24))
1/6
(* x 1/24)
1/24

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

localize217.0ms (2.1%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))
✓	accuracy	99.9%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
✓	accuracy	99.7%	(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/24 binary64))
✓	accuracy	100.0%	(-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/6 binary64)))))
✓	accuracy	99.9%	(.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/6 binary64))))
✓	accuracy	99.5%	(*.f64 x #s(literal -1/6 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) x)
✓	accuracy	99.9%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
✓	accuracy	99.7%	(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/24 binary64))
✓	accuracy	97.8%	(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))) x)

Results

158.0ms

256×

valid

Compiler

Compiled 180 to 21 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 125.0ms

ival-mult: 102.0ms (81.7% of total)

...c/correct-round.rkt:119:19: 13.0ms (10.4% of total)

ival-add: 6.0ms (4.8% of total)

ival-div: 2.0ms (1.6% of total)

ival-sub: 1.0ms (0.8% of total)

const: 1.0ms (0.8% of total)

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

series9.0ms (0.1%)

Counts

14 → 168

Calls

Call 1

Inputs
#<alt (/ (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))) x)>
#<alt (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24)))))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))>
#<alt (* x (+ 1/2 (* x (+ 1/6 (* x 1/24)))))>
#<alt (+ 1 (* 1/2 x))>
#<alt (* 1/2 x)>
#<alt (+ 1 (* x (- 1/2 (* x -1/6))))>
#<alt (* x (- 1/2 (* x -1/6)))>
#<alt (- 1/2 (* x -1/6))>
#<alt (* x -1/6)>
#<alt (+ 1/2 (* x (+ 1/6 (* x 1/24))))>
#<alt (* x (+ 1/6 (* x 1/24)))>
#<alt (* x 1/24)>
#<alt (+ 1/6 (* x 1/24))>

Outputs
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 x)))>
#<alt (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))>
#<alt (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/6 x)))>
#<alt (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))>
#<alt (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* 1/2 x))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/6 x)))>
#<alt (* x (+ 1/2 (* 1/6 x)))>
#<alt (* x (+ 1/2 (* 1/6 x)))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/6 x))>
#<alt (+ 1/2 (* 1/6 x))>
#<alt (+ 1/2 (* 1/6 x))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/6 x))>
#<alt (+ 1/2 (* x (+ 1/6 (* 1/24 x))))>
#<alt (+ 1/2 (* x (+ 1/6 (* 1/24 x))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* 1/24 x)))>
#<alt (* x (+ 1/6 (* 1/24 x)))>
#<alt (* x (+ 1/6 (* 1/24 x)))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt 1/6>
#<alt (+ 1/6 (* 1/24 x))>
#<alt (+ 1/6 (* 1/24 x))>
#<alt (+ 1/6 (* 1/24 x))>
#<alt (* 1/24 x)>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* 1/24 x)>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>

Calls

42 calls:

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

rewrite385.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

3756×	`-lowering-.f32`
3756×	`-lowering-.f64`
3742×	`/-lowering-/.f32`
3742×	`/-lowering-/.f64`
1762×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	116
1	135	99
2	1218	88
0	8321	88

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 582

Calls

Call 1

Inputs
(/ (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))) x)
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24)))))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))
(* x (+ 1/2 (* x (+ 1/6 (* x 1/24)))))
(+ 1 (* 1/2 x))
(* 1/2 x)
(+ 1 (* x (- 1/2 (* x -1/6))))
(* x (- 1/2 (* x -1/6)))
(- 1/2 (* x -1/6))
(* x -1/6)
(+ 1/2 (* x (+ 1/6 (* x 1/24))))
(* x (+ 1/6 (* x 1/24)))
(* x 1/24)
(+ 1/6 (* x 1/24))

Outputs
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
(+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) #s(literal 1 binary64))
(+.f64 (.f64 x #s(literal 1/2 binary64)) (+.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x)) #s(literal 1 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x)))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))) (neg.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))
(-.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x))) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))
(fma.f64 x #s(literal 1/2 binary64) (+.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (*.f64 x x)) #s(literal 1 binary64)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)) (+.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (+.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (*.f64 x x)) #s(literal 1 binary64)))
(fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) x #s(literal 1 binary64))
(fma.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64) (+.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x)) #s(literal 1 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 1/2 binary64)) (+.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (*.f64 x x)))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x)))
(neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))
(/.f64 x (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))
(/.f64 x (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))))
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(*.f64 x #s(literal 1/24 binary64))
(*.f64 #s(literal 1/24 binary64) x)
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))
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(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal 1/144 binary64) x))) (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)) (+.f64 (.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/36 binary64))))
(/.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)))))
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(/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x)))
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(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)))) (neg.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal 1/144 binary64) x)))))
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(/.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x))) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x)) (.f64 (.f64 x x) #s(literal 1/576 binary64)))) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x))))
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(/.f64 (.f64 (-.f64 #s(literal 1/46656 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64))))))
(/.f64 (.f64 (-.f64 #s(literal 1/46656 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1/1296 binary64) (+.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))))) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x))))
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simplify206.0ms (2%)

Algorithm

1×	egg-herbie

Rules

2784×	`-lowering-.f32`
2784×	`-lowering-.f64`
1508×	`+-lowering-+.f64`
1508×	`+-lowering-+.f32`
1452×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	79	1080
1	284	928
2	890	878
3	2873	870
4	7478	870
0	8193	870

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

Inputs
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
(* 1/2 x)
(* x (+ 1/2 (* 1/6 x)))
(* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))
(* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
1
(+ 1 (* 1/2 x))
(+ 1 (* 1/2 x))
(+ 1 (* 1/2 x))
(* 1/2 x)
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* 1/2 x)
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* 1/2 x)
(* x (+ 1/2 (* 1/6 x)))
(* x (+ 1/2 (* 1/6 x)))
(* x (+ 1/2 (* 1/6 x)))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
1/2
(+ 1/2 (* 1/6 x))
(+ 1/2 (* 1/6 x))
(+ 1/2 (* 1/6 x))
(* 1/6 x)
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* 1/6 x)
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
1/2
(+ 1/2 (* 1/6 x))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* 1/6 x)
(* x (+ 1/6 (* 1/24 x)))
(* x (+ 1/6 (* 1/24 x)))
(* x (+ 1/6 (* 1/24 x)))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
1/6
(+ 1/6 (* 1/24 x))
(+ 1/6 (* 1/24 x))
(+ 1/6 (* 1/24 x))
(* 1/24 x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/24 x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
(* 1/24 (pow x 3))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (*.f64 x x))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
(* 1/24 (pow x 3))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (*.f64 x x))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
x
(* x (+ 1 (* 1/2 x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))
(* 1/24 (pow x 4))
(.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x (.f64 x x)))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))
(* 1/24 (pow x 4))
(.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x (.f64 x x)))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x))
(* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
(* 1/24 (pow x 3))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (*.f64 x x))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
(* 1/24 (pow x 3))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (*.f64 x x))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/6 x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))
(* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(* 1/24 (pow x 3))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (*.f64 x x))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(* 1/24 (pow x 3))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (*.f64 x x))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(+ 1 (* 1/2 x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(+ 1 (* 1/2 x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(* x (+ 1/2 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(* x (+ 1/2 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(* x (+ 1/2 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(* x (+ 1/2 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/6 x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))
(* x (+ 1/2 (* 1/6 x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))
(* x (+ 1/2 (* 1/6 x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 x))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))
(+ 1/2 (* 1/6 x))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))
(+ 1/2 (* 1/6 x))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 x))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* x (+ 1/6 (* 1/24 x)))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))
(* x (+ 1/6 (* 1/24 x)))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))
(* x (+ 1/6 (* 1/24 x)))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/24 x))
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))
(+ 1/6 (* 1/24 x))
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))
(+ 1/6 (* 1/24 x))
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))

eval142.0ms (1.4%)

Compiler: Compiled 37028 to 2349 computations (93.7% saved)

prune163.0ms (1.6%)

Pruning

35 alts after pruning (30 fresh and 5 done)

	Pruned	Kept	Total
New	1067	29	1096
Fresh	0	1	1
Picked	1	4	5
Done	0	1	1
Total	1068	35	1103

Accuracy

100.0%

Counts

1103 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	36.2%	(/.f64 (/.f64 (-.f64 (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x))) (.f64 x x)) (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)) x)) x)
	54.8%	(/.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)))) x) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) x)
	69.3%	(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) x)
	27.7%	(/.f64 (-.f64 (.f64 x (exp.f64 x)) x) (.f64 x x))
	54.4%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)))) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))
	52.3%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) #s(literal -1 binary64)))))
	18.3%	(/.f64 (.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x))))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x))) (.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (*.f64 x x))))) x))
▶	69.3%	(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) x) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x))))))) x)
▶	21.2%	(/.f64 (.f64 x (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x))) x)
	20.7%	(/.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x)))) x)
✓	100.0%	(/.f64 (expm1.f64 x) x)
	68.5%	(/.f64 x (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))) x))
	68.6%	(+.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x)))
	54.5%	(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x)) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x))) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (-.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x)) (*.f64 x #s(literal 1/2 binary64)))))
	55.4%	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x)))) x) (-.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))
▶	54.3%	(+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)))) (-.f64 (.f64 x #s(literal 1/6 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))))
✓	66.2%	(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/6 binary64)))))
	68.6%	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))) (.f64 #s(literal 1/24 binary64) (.f64 x x)))))
	68.6%	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) x) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x))))))
	54.3%	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) x) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64))))))))
	54.3%	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)))) (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) x))))))
	68.6%	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x)))))))
▶	68.6%	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x)))))))
	53.6%	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) (+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal 1/144 binary64) x))))))))
	68.6%	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))
✓	68.6%	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
	67.1%	(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
✓	51.5%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
	69.2%	(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))
	20.5%	(.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (*.f64 x x))
	20.3%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
▶	3.9%	(*.f64 #s(literal 1/2 binary64) x)
	18.4%	(.f64 #s(literal 1/6 binary64) (.f64 x x))
	20.0%	(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
✓	50.9%	#s(literal 1 binary64)

Compiler

Compiled 1627 to 853 computations (47.6% saved)

simplify202.0ms (2%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	256	(-.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))
✓	cost-diff	384	(/.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)))) (-.f64 (.f64 x #s(literal 1/6 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64))))
✓	cost-diff	384	(.f64 x (/.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)))) (-.f64 (.f64 x #s(literal 1/6 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))))
✓	cost-diff	384	(+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)))) (-.f64 (.f64 x #s(literal 1/6 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))))
✓	cost-diff	0	(.f64 x (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x))))
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x)))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x))))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x)))))))
✓	cost-diff	0	(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))
✓	cost-diff	0	(.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (*.f64 x x))
✓	cost-diff	0	(.f64 x (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x)))
✓	cost-diff	256	(/.f64 (.f64 x (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x))) x)
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) x) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x)))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) x) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x))))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) x) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x)))))))
✓	cost-diff	256	(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) x) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x))))))) x)

Rules

2252×	`fma-lowering-fma.f32`
2252×	`fma-lowering-fma.f64`
1894×	`-lowering-.f32`
1894×	`-lowering-.f64`
1540×	`sum4-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	41	496
1	131	466
2	369	428
3	1332	418
4	4518	414
0	8166	414

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (* x (+ 1 (* x (+ 1/2 (/ (* (- 1/36 (* (* x x) 1/576)) x) (+ 1/6 (* -1/24 x))))))) x)
(* x (+ 1 (* x (+ 1/2 (/ (* (- 1/36 (* (* x x) 1/576)) x) (+ 1/6 (* -1/24 x)))))))
x
(+ 1 (* x (+ 1/2 (/ (* (- 1/36 (* (* x x) 1/576)) x) (+ 1/6 (* -1/24 x))))))
1
(* x (+ 1/2 (/ (* (- 1/36 (* (* x x) 1/576)) x) (+ 1/6 (* -1/24 x)))))
(+ 1/2 (/ (* (- 1/36 (* (* x x) 1/576)) x) (+ 1/6 (* -1/24 x))))
1/2
(/ (* (- 1/36 (* (* x x) 1/576)) x) (+ 1/6 (* -1/24 x)))
(* (- 1/36 (* (* x x) 1/576)) x)
(- 1/36 (* (* x x) 1/576))
1/36
(* (* x x) 1/576)
(* x x)
1/576
(+ 1/6 (* -1/24 x))
1/6
(* -1/24 x)
-1/24
(* 1/2 x)
1/2
x
(/ (* x (* (+ 1/6 (* x 1/24)) (* x x))) x)
(* x (* (+ 1/6 (* x 1/24)) (* x x)))
x
(* (+ 1/6 (* x 1/24)) (* x x))
(+ 1/6 (* x 1/24))
1/6
(* x 1/24)
1/24
(* x x)
(+ 1 (* x (+ 1/2 (* x (/ (- 1/36 (* (* x x) 1/576)) (+ 1/6 (* -1/24 x)))))))
1
(* x (+ 1/2 (* x (/ (- 1/36 (* (* x x) 1/576)) (+ 1/6 (* -1/24 x))))))
x
(+ 1/2 (* x (/ (- 1/36 (* (* x x) 1/576)) (+ 1/6 (* -1/24 x)))))
1/2
(* x (/ (- 1/36 (* (* x x) 1/576)) (+ 1/6 (* -1/24 x))))
(/ (- 1/36 (* (* x x) 1/576)) (+ 1/6 (* -1/24 x)))
(- 1/36 (* (* x x) 1/576))
1/36
(* (* x x) 1/576)
(* x x)
1/576
(+ 1/6 (* -1/24 x))
1/6
(* -1/24 x)
-1/24
(+ 1 (* x (/ (- (* 1/36 (* x x)) (* (+ (* 1/24 (* x x)) 1/2) (+ (* 1/24 (* x x)) 1/2))) (- (* x 1/6) (+ (* 1/24 (* x x)) 1/2)))))
1
(* x (/ (- (* 1/36 (* x x)) (* (+ (* 1/24 (* x x)) 1/2) (+ (* 1/24 (* x x)) 1/2))) (- (* x 1/6) (+ (* 1/24 (* x x)) 1/2))))
x
(/ (- (* 1/36 (* x x)) (* (+ (* 1/24 (* x x)) 1/2) (+ (* 1/24 (* x x)) 1/2))) (- (* x 1/6) (+ (* 1/24 (* x x)) 1/2)))
(- (* 1/36 (* x x)) (* (+ (* 1/24 (* x x)) 1/2) (+ (* 1/24 (* x x)) 1/2)))
(* 1/36 (* x x))
1/36
(* x x)
(* (+ (* 1/24 (* x x)) 1/2) (+ (* 1/24 (* x x)) 1/2))
(+ (* 1/24 (* x x)) 1/2)
(* 1/24 (* x x))
1/24
1/2
(- (* x 1/6) (+ (* 1/24 (* x x)) 1/2))
(* x 1/6)
1/6

Outputs
(/ (* x (+ 1 (* x (+ 1/2 (/ (* (- 1/36 (* (* x x) 1/576)) x) (+ 1/6 (* -1/24 x))))))) x)
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64)))) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/24 binary64)))))))
(* x (+ 1 (* x (+ 1/2 (/ (* (- 1/36 (* (* x x) 1/576)) x) (+ 1/6 (* -1/24 x)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64)))) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))))))
x
(+ 1 (* x (+ 1/2 (/ (* (- 1/36 (* (* x x) 1/576)) x) (+ 1/6 (* -1/24 x))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64)))) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/24 binary64)))))))
1
#s(literal 1 binary64)
(* x (+ 1/2 (/ (* (- 1/36 (* (* x x) 1/576)) x) (+ 1/6 (* -1/24 x)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64)))) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/24 binary64))))))
(+ 1/2 (/ (* (- 1/36 (* (* x x) 1/576)) x) (+ 1/6 (* -1/24 x))))
(+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64)))) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))))
1/2
#s(literal 1/2 binary64)
(/ (* (- 1/36 (* (* x x) 1/576)) x) (+ 1/6 (* -1/24 x)))
(/.f64 (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64)))) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))
(* (- 1/36 (* (* x x) 1/576)) x)
(.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (*.f64 x x) #s(literal -1/576 binary64))))
(- 1/36 (* (* x x) 1/576))
(+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64)))
1/36
#s(literal 1/36 binary64)
(* (* x x) 1/576)
(.f64 (.f64 x x) #s(literal 1/576 binary64))
(* x x)
(*.f64 x x)
1/576
#s(literal 1/576 binary64)
(+ 1/6 (* -1/24 x))
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/24 binary64)))
1/6
#s(literal 1/6 binary64)
(* -1/24 x)
(*.f64 x #s(literal -1/24 binary64))
-1/24
#s(literal -1/24 binary64)
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
x
(/ (* x (* (+ 1/6 (* x 1/24)) (* x x))) x)
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(* x (* (+ 1/6 (* x 1/24)) (* x x)))
(.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))
x
(* (+ 1/6 (* x 1/24)) (* x x))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(+ 1/6 (* x 1/24))
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))
1/6
#s(literal 1/6 binary64)
(* x 1/24)
(*.f64 x #s(literal 1/24 binary64))
1/24
#s(literal 1/24 binary64)
(* x x)
(*.f64 x x)
(+ 1 (* x (+ 1/2 (* x (/ (- 1/36 (* (* x x) 1/576)) (+ 1/6 (* -1/24 x)))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64)))) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/24 binary64)))))))
1
#s(literal 1 binary64)
(* x (+ 1/2 (* x (/ (- 1/36 (* (* x x) 1/576)) (+ 1/6 (* -1/24 x))))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64)))) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/24 binary64))))))
x
(+ 1/2 (* x (/ (- 1/36 (* (* x x) 1/576)) (+ 1/6 (* -1/24 x)))))
(+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64)))) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))))
1/2
#s(literal 1/2 binary64)
(* x (/ (- 1/36 (* (* x x) 1/576)) (+ 1/6 (* -1/24 x))))
(/.f64 (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64)))) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))
(/ (- 1/36 (* (* x x) 1/576)) (+ 1/6 (* -1/24 x)))
(/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64))) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/24 binary64))))
(- 1/36 (* (* x x) 1/576))
(+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64)))
1/36
#s(literal 1/36 binary64)
(* (* x x) 1/576)
(.f64 (.f64 x x) #s(literal 1/576 binary64))
(* x x)
(*.f64 x x)
1/576
#s(literal 1/576 binary64)
(+ 1/6 (* -1/24 x))
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/24 binary64)))
1/6
#s(literal 1/6 binary64)
(* -1/24 x)
(*.f64 x #s(literal -1/24 binary64))
-1/24
#s(literal -1/24 binary64)
(+ 1 (* x (/ (- (* 1/36 (* x x)) (* (+ (* 1/24 (* x x)) 1/2) (+ (* 1/24 (* x x)) 1/2))) (- (* x 1/6) (+ (* 1/24 (* x x)) 1/2)))))
(+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (+.f64 (.f64 (.f64 x x) (-.f64 (-.f64 #s(literal 1/144 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))) #s(literal 1/48 binary64))) #s(literal -1/4 binary64)) (+.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))) #s(literal -1/2 binary64)))))
1
#s(literal 1 binary64)
(* x (/ (- (* 1/36 (* x x)) (* (+ (* 1/24 (* x x)) 1/2) (+ (* 1/24 (* x x)) 1/2))) (- (* x 1/6) (+ (* 1/24 (* x x)) 1/2))))
(.f64 x (/.f64 (+.f64 (.f64 (.f64 x x) (-.f64 (-.f64 #s(literal 1/144 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))) #s(literal 1/48 binary64))) #s(literal -1/4 binary64)) (+.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))) #s(literal -1/2 binary64))))
x
(/ (- (* 1/36 (* x x)) (* (+ (* 1/24 (* x x)) 1/2) (+ (* 1/24 (* x x)) 1/2))) (- (* x 1/6) (+ (* 1/24 (* x x)) 1/2)))
(/.f64 (+.f64 (.f64 (.f64 x x) (-.f64 (-.f64 #s(literal 1/144 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))) #s(literal 1/48 binary64))) #s(literal -1/4 binary64)) (+.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/24 binary64)))) #s(literal -1/2 binary64)))
(- (* 1/36 (* x x)) (* (+ (* 1/24 (* x x)) 1/2) (+ (* 1/24 (* x x)) 1/2)))
(+.f64 (.f64 (.f64 x x) (-.f64 (-.f64 #s(literal 1/144 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64))))) #s(literal 1/48 binary64))) #s(literal -1/4 binary64))
(* 1/36 (* x x))
(.f64 #s(literal 1/36 binary64) (.f64 x x))
1/36
#s(literal 1/36 binary64)
(* x x)
(*.f64 x x)
(* (+ (* 1/24 (* x x)) 1/2) (+ (* 1/24 (* x x)) 1/2))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(+ (* 1/24 (* x x)) 1/2)
(+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))
(* 1/24 (* x x))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
1/24
#s(literal 1/24 binary64)
1/2
#s(literal 1/2 binary64)
(- (* x 1/6) (+ (* 1/24 (* x x)) 1/2))
(+.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))) #s(literal -1/2 binary64))
(* x 1/6)
(*.f64 x #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)

localize263.0ms (2.6%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(.f64 #s(literal 1/36 binary64) (.f64 x x))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/6 binary64))
✓	accuracy	73.8%	(-.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))
✓	accuracy	71.0%	(/.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)))) (-.f64 (.f64 x #s(literal 1/6 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64))))
✓	accuracy	99.7%	(.f64 x (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x))))
✓	accuracy	99.6%	(.f64 (.f64 x x) #s(literal 1/576 binary64))
✓	accuracy	99.5%	(*.f64 #s(literal -1/24 binary64) x)
✓	accuracy	75.5%	(/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x)))
✓	accuracy	99.9%	(.f64 x (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x)))
✓	accuracy	99.8%	(.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (*.f64 x x))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/24 binary64))
✓	accuracy	84.9%	(/.f64 (.f64 x (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x))) x)
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) x)
✓	accuracy	99.6%	(.f64 (.f64 x x) #s(literal 1/576 binary64))
✓	accuracy	99.5%	(*.f64 #s(literal -1/24 binary64) x)
✓	accuracy	97.8%	(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) x) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x))))))) x)
✓	accuracy	94.1%	(/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) x) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x)))

Results

147.0ms

256×

valid

Compiler

Compiled 509 to 42 computations (91.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 91.0ms

ival-mult: 45.0ms (49.4% of total)

...c/correct-round.rkt:119:19: 24.0ms (26.3% of total)

ival-div: 9.0ms (9.9% of total)

ival-add: 9.0ms (9.9% of total)

ival-sub: 4.0ms (4.4% of total)

const: 1.0ms (1.1% of total)

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

series14.0ms (0.1%)

Counts

24 → 288

Calls

Call 1

Inputs
#<alt (/ (* x (+ 1 (* x (+ 1/2 (/ (* (- 1/36 (* (* x x) 1/576)) x) (+ 1/6 (* -1/24 x))))))) x)>
#<alt (* x (+ 1 (* x (+ 1/2 (/ (* (- 1/36 (* (* x x) 1/576)) x) (+ 1/6 (* -1/24 x)))))))>
#<alt (+ 1 (* x (+ 1/2 (/ (* (- 1/36 (* (* x x) 1/576)) x) (+ 1/6 (* -1/24 x))))))>
#<alt (* x (+ 1/2 (/ (* (- 1/36 (* (* x x) 1/576)) x) (+ 1/6 (* -1/24 x)))))>
#<alt (* 1/2 x)>
#<alt (/ (* x (* (+ 1/6 (* x 1/24)) (* x x))) x)>
#<alt (* x (* (+ 1/6 (* x 1/24)) (* x x)))>
#<alt (* (+ 1/6 (* x 1/24)) (* x x))>
#<alt (+ 1/6 (* x 1/24))>
#<alt (+ 1 (* x (+ 1/2 (* x (/ (- 1/36 (* (* x x) 1/576)) (+ 1/6 (* -1/24 x)))))))>
#<alt (* x (+ 1/2 (* x (/ (- 1/36 (* (* x x) 1/576)) (+ 1/6 (* -1/24 x))))))>
#<alt (+ 1/2 (* x (/ (- 1/36 (* (* x x) 1/576)) (+ 1/6 (* -1/24 x)))))>
#<alt (* x (/ (- 1/36 (* (* x x) 1/576)) (+ 1/6 (* -1/24 x))))>
#<alt (+ 1 (* x (/ (- (* 1/36 (* x x)) (* (+ (* 1/24 (* x x)) 1/2) (+ (* 1/24 (* x x)) 1/2))) (- (* x 1/6) (+ (* 1/24 (* x x)) 1/2)))))>
#<alt (* x (/ (- (* 1/36 (* x x)) (* (+ (* 1/24 (* x x)) 1/2) (+ (* 1/24 (* x x)) 1/2))) (- (* x 1/6) (+ (* 1/24 (* x x)) 1/2))))>
#<alt (/ (- (* 1/36 (* x x)) (* (+ (* 1/24 (* x x)) 1/2) (+ (* 1/24 (* x x)) 1/2))) (- (* x 1/6) (+ (* 1/24 (* x x)) 1/2)))>
#<alt (- (* 1/36 (* x x)) (* (+ (* 1/24 (* x x)) 1/2) (+ (* 1/24 (* x x)) 1/2)))>
#<alt (/ (* (- 1/36 (* (* x x) 1/576)) x) (+ 1/6 (* -1/24 x)))>
#<alt (* -1/24 x)>
#<alt (* (* x x) 1/576)>
#<alt (* x 1/24)>
#<alt (/ (- 1/36 (* (* x x) 1/576)) (+ 1/6 (* -1/24 x)))>
#<alt (* x 1/6)>
#<alt (* 1/36 (* x x))>

Outputs
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 x)))>
#<alt (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))>
#<alt (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/6 x)))>
#<alt (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))>
#<alt (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* 1/24 x)))>
#<alt (* (pow x 2) (+ 1/6 (* 1/24 x)))>
#<alt (* (pow x 2) (+ 1/6 (* 1/24 x)))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* 1/6 (pow x 3))>
#<alt (* (pow x 3) (+ 1/6 (* 1/24 x)))>
#<alt (* (pow x 3) (+ 1/6 (* 1/24 x)))>
#<alt (* (pow x 3) (+ 1/6 (* 1/24 x)))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* 1/24 x)))>
#<alt (* (pow x 2) (+ 1/6 (* 1/24 x)))>
#<alt (* (pow x 2) (+ 1/6 (* 1/24 x)))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt 1/6>
#<alt (+ 1/6 (* 1/24 x))>
#<alt (+ 1/6 (* 1/24 x))>
#<alt (+ 1/6 (* 1/24 x))>
#<alt (* 1/24 x)>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* 1/24 x)>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/6 x)))>
#<alt (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))>
#<alt (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/6 x))>
#<alt (+ 1/2 (* x (+ 1/6 (* 1/24 x))))>
#<alt (+ 1/2 (* x (+ 1/6 (* 1/24 x))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* 1/24 x)))>
#<alt (* x (+ 1/6 (* 1/24 x)))>
#<alt (* x (+ 1/6 (* 1/24 x)))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/6 x)))>
#<alt (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))>
#<alt (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/6 x))>
#<alt (+ 1/2 (* x (+ 1/6 (* 1/24 x))))>
#<alt (+ 1/2 (* x (+ 1/6 (* 1/24 x))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt -1/4>
#<alt (- (* -1/72 (pow x 2)) 1/4)>
#<alt (- (* (pow x 2) (- (* -1/576 (pow x 2)) 1/72)) 1/4)>
#<alt (- (* (pow x 2) (- (* -1/576 (pow x 2)) 1/72)) 1/4)>
#<alt (* -1/576 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 1/576 (* 1/72 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 1/72 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 1/576))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 1/72 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 1/576))>
#<alt (* -1/576 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 1/576 (* 1/72 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 1/72 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 1/576))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 1/72 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 1/576))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* 1/24 x)))>
#<alt (* x (+ 1/6 (* 1/24 x)))>
#<alt (* x (+ 1/6 (* 1/24 x)))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* -1/24 x)>
#<alt (* -1/24 x)>
#<alt (* -1/24 x)>
#<alt (* -1/24 x)>
#<alt (* -1/24 x)>
#<alt (* -1/24 x)>
#<alt (* -1/24 x)>
#<alt (* -1/24 x)>
#<alt (* -1/24 x)>
#<alt (* -1/24 x)>
#<alt (* -1/24 x)>
#<alt (* -1/24 x)>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt 1/6>
#<alt (+ 1/6 (* 1/24 x))>
#<alt (+ 1/6 (* 1/24 x))>
#<alt (+ 1/6 (* 1/24 x))>
#<alt (* 1/24 x)>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* 1/24 x)>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>

Calls

72 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(* 1/36 (* x x))
0.0ms	x	@	inf	(* x (/ (- 1/36 (* (* x x) 1/576)) (+ 1/6 (* -1/24 x))))
0.0ms	x	@	inf	(* x (+ 1/2 (/ (* (- 1/36 (* (* x x) 1/576)) x) (+ 1/6 (* -1/24 x)))))
0.0ms	x	@	0	(* x (/ (- (* 1/36 (* x x)) (* (+ (* 1/24 (* x x)) 1/2) (+ (* 1/24 (* x x)) 1/2))) (- (* x 1/6) (+ (* 1/24 (* x x)) 1/2))))
0.0ms	x	@	inf	(/ (* x (+ 1 (* x (+ 1/2 (/ (* (- 1/36 (* (* x x) 1/576)) x) (+ 1/6 (* -1/24 x))))))) x)

rewrite400.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

3188×	`fma-lowering-fma.f32`
3188×	`fma-lowering-fma.f64`
2598×	`-lowering-.f32`
2598×	`-lowering-.f64`
1754×	`prod-diff`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	314
1	301	186
2	2721	176
0	8424	176

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 837

Calls

Call 1

Inputs
(/ (* x (+ 1 (* x (+ 1/2 (/ (* (- 1/36 (* (* x x) 1/576)) x) (+ 1/6 (* -1/24 x))))))) x)
(* x (+ 1 (* x (+ 1/2 (/ (* (- 1/36 (* (* x x) 1/576)) x) (+ 1/6 (* -1/24 x)))))))
(+ 1 (* x (+ 1/2 (/ (* (- 1/36 (* (* x x) 1/576)) x) (+ 1/6 (* -1/24 x))))))
(* x (+ 1/2 (/ (* (- 1/36 (* (* x x) 1/576)) x) (+ 1/6 (* -1/24 x)))))
(* 1/2 x)
(/ (* x (* (+ 1/6 (* x 1/24)) (* x x))) x)
(* x (* (+ 1/6 (* x 1/24)) (* x x)))
(* (+ 1/6 (* x 1/24)) (* x x))
(+ 1/6 (* x 1/24))
(+ 1 (* x (+ 1/2 (* x (/ (- 1/36 (* (* x x) 1/576)) (+ 1/6 (* -1/24 x)))))))
(* x (+ 1/2 (* x (/ (- 1/36 (* (* x x) 1/576)) (+ 1/6 (* -1/24 x))))))
(+ 1/2 (* x (/ (- 1/36 (* (* x x) 1/576)) (+ 1/6 (* -1/24 x)))))
(* x (/ (- 1/36 (* (* x x) 1/576)) (+ 1/6 (* -1/24 x))))
(+ 1 (* x (/ (- (* 1/36 (* x x)) (* (+ (* 1/24 (* x x)) 1/2) (+ (* 1/24 (* x x)) 1/2))) (- (* x 1/6) (+ (* 1/24 (* x x)) 1/2)))))
(* x (/ (- (* 1/36 (* x x)) (* (+ (* 1/24 (* x x)) 1/2) (+ (* 1/24 (* x x)) 1/2))) (- (* x 1/6) (+ (* 1/24 (* x x)) 1/2))))
(/ (- (* 1/36 (* x x)) (* (+ (* 1/24 (* x x)) 1/2) (+ (* 1/24 (* x x)) 1/2))) (- (* x 1/6) (+ (* 1/24 (* x x)) 1/2)))
(- (* 1/36 (* x x)) (* (+ (* 1/24 (* x x)) 1/2) (+ (* 1/24 (* x x)) 1/2)))
(/ (* (- 1/36 (* (* x x) 1/576)) x) (+ 1/6 (* -1/24 x)))
(* -1/24 x)
(* (* x x) 1/576)
(* x 1/24)
(/ (- 1/36 (* (* x x) 1/576)) (+ 1/6 (* -1/24 x)))
(* x 1/6)
(* 1/36 (* x x))

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))) (-.f64 #s(literal 0 binary64) x)))
(neg.f64 (/.f64 (.f64 x (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) #s(literal 1 binary64)))
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))) x)
(/.f64 (.f64 x (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))) (-.f64 #s(literal 0 binary64) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))))
(/.f64 (neg.f64 (.f64 x (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))))) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) #s(literal 1 binary64)) x)
(pow.f64 (/.f64 (/.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (/.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))) x))
(.f64 #s(literal 1 binary64) (.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))) x)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))) (*.f64 x (/.f64 #s(literal 1 binary64) x)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))) (/.f64 x x))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) (/.f64 #s(literal 1 binary64) x))
(.f64 (.f64 x (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))
(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))
(.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) #s(literal -1 binary64)))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))) x) x)
(+.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))
(+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))) x)
(fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))
(fma.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) x)
(fma.f64 #s(literal 1 binary64) x (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))
(fma.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) x)
(fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (*.f64 x x) x)
(fma.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) x x)
(/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))) (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))) (.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))))
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(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64)))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(/.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1/13824 binary64))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) (-.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))))
(/.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1/13824 binary64))) (+.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal 1/144 binary64) x))))
(/.f64 (-.f64 #s(literal 1/46656 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/191102976 binary64)))) (.f64 (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (+.f64 #s(literal 1/1296 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) (+.f64 #s(literal 1/36 binary64) (.f64 x (*.f64 x #s(literal 1/576 binary64))))))))
(/.f64 (-.f64 #s(literal 1/1296 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/331776 binary64))) (.f64 (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal 1/576 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) (.f64 (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x (.f64 x #s(literal 1/576 binary64))))) (.f64 (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/46656 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/191102976 binary64)))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1/1296 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal 1/576 binary64)))))) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/1296 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/331776 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal 1/576 binary64)))) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1/13824 binary64)))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) (-.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))))))
(/.f64 (-.f64 (/.f64 #s(literal 1/46656 binary64) (.f64 (.f64 (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/191102976 binary64))) (.f64 (.f64 (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) (+.f64 (.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 (.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) (/.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) (/.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))
(/.f64 (-.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1/13824 binary64))) (+.f64 #s(literal 1/36 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) (.f64 #s(literal -1/144 binary64) x))))
(/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal 1/36 binary64)) (-.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) (/.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) (+.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) (/.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))
(/.f64 (.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1/46656 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/191102976 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/1296 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) (+.f64 #s(literal 1/36 binary64) (.f64 x (*.f64 x #s(literal 1/576 binary64)))))))
(/.f64 (.f64 (-.f64 #s(literal 1/1296 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/331776 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal 1/576 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) (-.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))) (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1/13824 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))
(.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))
(.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1/13824 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) (-.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64)))) #s(literal -1 binary64)))
(.f64 (/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64))) (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1/13824 binary64)))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x #s(literal -1/24 binary64)) (-.f64 (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/6 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64)))) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))
(.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (-.f64 #s(literal 1/46656 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/191102976 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/1296 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) (+.f64 #s(literal 1/36 binary64) (.f64 x (*.f64 x #s(literal 1/576 binary64))))))))
(.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (-.f64 #s(literal 1/1296 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/331776 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal 1/576 binary64))))))
(*.f64 x #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) x)
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 1/6 binary64))) #s(literal 2 binary64)))
(pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))
(.f64 x (.f64 x #s(literal 1/36 binary64)))
(.f64 x (.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/6 binary64))))
(.f64 #s(literal 1/36 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/36 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(.f64 (.f64 x #s(literal 1/6 binary64)) (*.f64 x #s(literal 1/6 binary64)))
(.f64 (.f64 x #s(literal 1/36 binary64)) x)
(.f64 (.f64 (*.f64 x #s(literal 1/6 binary64)) x) #s(literal 1/6 binary64))
(.f64 (.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/6 binary64)) x)

simplify192.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

3306×	`-lowering-.f32`
3306×	`-lowering-.f64`
1566×	`+-lowering-+.f64`
1566×	`+-lowering-+.f32`
1490×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	104	2109
1	343	1974
2	1035	1872
3	3135	1717
0	8434	1717

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

Inputs
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
(* 1/2 x)
(* x (+ 1/2 (* 1/6 x)))
(* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))
(* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/24 x)))
(* (pow x 2) (+ 1/6 (* 1/24 x)))
(* (pow x 2) (+ 1/6 (* 1/24 x)))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* 1/24 x)))
(* (pow x 3) (+ 1/6 (* 1/24 x)))
(* (pow x 3) (+ 1/6 (* 1/24 x)))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/24 x)))
(* (pow x 2) (+ 1/6 (* 1/24 x)))
(* (pow x 2) (+ 1/6 (* 1/24 x)))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
1/6
(+ 1/6 (* 1/24 x))
(+ 1/6 (* 1/24 x))
(+ 1/6 (* 1/24 x))
(* 1/24 x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/24 x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
(* 1/2 x)
(* x (+ 1/2 (* 1/6 x)))
(* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))
(* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
1/2
(+ 1/2 (* 1/6 x))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* 1/6 x)
(* x (+ 1/6 (* 1/24 x)))
(* x (+ 1/6 (* 1/24 x)))
(* x (+ 1/6 (* 1/24 x)))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
(* 1/2 x)
(* x (+ 1/2 (* 1/6 x)))
(* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))
(* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
1/2
(+ 1/2 (* 1/6 x))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
-1/4
(- (* -1/72 (pow x 2)) 1/4)
(- (* (pow x 2) (- (* -1/576 (pow x 2)) 1/72)) 1/4)
(- (* (pow x 2) (- (* -1/576 (pow x 2)) 1/72)) 1/4)
(* -1/576 (pow x 4))
(* -1 (* (pow x 4) (+ 1/576 (* 1/72 (/ 1 (pow x 2))))))
(* (pow x 4) (- (* -1 (/ (+ 1/72 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 1/576))
(* (pow x 4) (- (* -1 (/ (+ 1/72 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 1/576))
(* -1/576 (pow x 4))
(* -1 (* (pow x 4) (+ 1/576 (* 1/72 (/ 1 (pow x 2))))))
(* (pow x 4) (- (* -1 (/ (+ 1/72 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 1/576))
(* (pow x 4) (- (* -1 (/ (+ 1/72 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 1/576))
(* 1/6 x)
(* x (+ 1/6 (* 1/24 x)))
(* x (+ 1/6 (* 1/24 x)))
(* x (+ 1/6 (* 1/24 x)))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* -1/24 x)
(* -1/24 x)
(* -1/24 x)
(* -1/24 x)
(* -1/24 x)
(* -1/24 x)
(* -1/24 x)
(* -1/24 x)
(* -1/24 x)
(* -1/24 x)
(* -1/24 x)
(* -1/24 x)
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
1/6
(+ 1/6 (* 1/24 x))
(+ 1/6 (* 1/24 x))
(+ 1/6 (* 1/24 x))
(* 1/24 x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/24 x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
x
(* x (+ 1 (* 1/2 x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))
(* 1/24 (pow x 4))
(.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x (.f64 x x)))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))
(* 1/24 (pow x 4))
(.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x (.f64 x x)))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))
(* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/6 x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))
(* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* 1/24 x)))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(* (pow x 2) (+ 1/6 (* 1/24 x)))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(* (pow x 2) (+ 1/6 (* 1/24 x)))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/6 (* 1/24 x)))
(.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x (.f64 x x)))
(* (pow x 3) (+ 1/6 (* 1/24 x)))
(.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x (.f64 x x)))
(* (pow x 3) (+ 1/6 (* 1/24 x)))
(.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x (.f64 x x)))
(* 1/24 (pow x 4))
(.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x (.f64 x x)))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x (.f64 x x)))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x (.f64 x x)))
(* 1/24 (pow x 4))
(.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x (.f64 x x)))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x (.f64 x x)))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x (.f64 x x)))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* 1/24 x)))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(* (pow x 2) (+ 1/6 (* 1/24 x)))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(* (pow x 2) (+ 1/6 (* 1/24 x)))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/24 x))
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))
(+ 1/6 (* 1/24 x))
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))
(+ 1/6 (* 1/24 x))
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/6 x)))
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eval438.0ms (4.3%)

Compiler: Compiled 42599 to 2643 computations (93.8% saved)

prune142.0ms (1.4%)

Pruning

41 alts after pruning (35 fresh and 6 done)

	Pruned	Kept	Total
New	1155	14	1169
Fresh	4	21	25
Picked	4	1	5
Done	0	5	5
Total	1163	41	1204

Accuracy

100.0%

Counts

1204 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
	36.2%	(/.f64 (/.f64 (-.f64 (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x))) (.f64 x x)) (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)) x)) x)
	54.8%	(/.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)))) x) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) x)
▶	69.3%	(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) x)
	54.4%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))) #s(literal 1 binary64)) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) #s(literal 1 binary64)))
	27.7%	(/.f64 (-.f64 (.f64 x (exp.f64 x)) x) (.f64 x x))
	52.3%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) #s(literal -1 binary64)))))
	18.3%	(/.f64 (.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x))))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x))) (.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (*.f64 x x))))) x))
	21.2%	(/.f64 (.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64))) (.f64 x x)) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))
	21.2%	(/.f64 (.f64 (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64)))) x) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))
	21.2%	(/.f64 (.f64 x (.f64 (/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64))) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) (.f64 x x))) x)
▶	6.2%	(/.f64 (.f64 x (.f64 (/.f64 (.f64 (-.f64 #s(literal 1/1296 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/331776 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal 1/576 binary64))))) (*.f64 x x))) x)
	5.6%	(/.f64 (.f64 x (.f64 (/.f64 (.f64 (-.f64 #s(literal 1/46656 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/191102976 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/1296 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal 1/576 binary64))))))) (.f64 x x))) x)
	20.7%	(/.f64 (.f64 x (.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x x))) x)
	20.7%	(/.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x)))) x)
✓	100.0%	(/.f64 (expm1.f64 x) x)
	68.5%	(/.f64 x (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))) x))
▶	68.6%	(+.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x)))
	54.5%	(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x)) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x))) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (-.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x)) (*.f64 x #s(literal 1/2 binary64)))))
	55.4%	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x)))) x) (-.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))
	50.9%	(+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/72 binary64)))) (-.f64 (.f64 x #s(literal 1/6 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64))))))
	52.1%	(+.f64 #s(literal 1 binary64) (.f64 x (/.f64 #s(literal -1/4 binary64) (-.f64 (.f64 x #s(literal 1/6 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64))))))
✓	66.2%	(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/6 binary64)))))
	68.6%	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))) (.f64 #s(literal 1/24 binary64) (.f64 x x)))))
	52.8%	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/46656 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/191102976 binary64)))) x) (.f64 (+.f64 #s(literal 1/1296 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal 1/576 binary64)))))) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))
	54.3%	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) x) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64))))))))
	50.8%	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1/13824 binary64))) x) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) (-.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))))))))
	54.3%	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)))) (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) x))))))
▶	68.6%	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal 1/36 binary64)) (-.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))))))
	53.6%	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) (+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal 1/144 binary64) x))))))))
	68.6%	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))
✓	68.6%	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
✓	51.5%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
	69.2%	(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))
	20.5%	(.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (*.f64 x x))
	20.5%	(.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64))) (.f64 (/.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) x))
	20.3%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
	20.0%	(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
✓	3.9%	(*.f64 #s(literal 1/2 binary64) x)
▶	18.4%	(.f64 #s(literal 1/6 binary64) (.f64 x x))
	20.0%	(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
✓	50.9%	#s(literal 1 binary64)

Compiler

Compiled 1951 to 1064 computations (45.5% saved)

simplify256.0ms (2.5%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(/.f64 (.f64 (-.f64 #s(literal 1/1296 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/331776 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal 1/576 binary64)))))
✓	cost-diff	128	(.f64 (/.f64 (.f64 (-.f64 #s(literal 1/1296 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/331776 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal 1/576 binary64))))) (.f64 x x))
✓	cost-diff	128	(.f64 x (.f64 (/.f64 (.f64 (-.f64 #s(literal 1/1296 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/331776 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal 1/576 binary64))))) (*.f64 x x)))
✓	cost-diff	384	(/.f64 (.f64 x (.f64 (/.f64 (.f64 (-.f64 #s(literal 1/1296 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/331776 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal 1/576 binary64))))) (*.f64 x x))) x)
✓	cost-diff	0	(.f64 x (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal 1/36 binary64)) (-.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))))
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal 1/36 binary64)) (-.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal 1/36 binary64)) (-.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal 1/36 binary64)) (-.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))))))
✓	cost-diff	0	(.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (*.f64 x x))
✓	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
✓	cost-diff	128	(+.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 #s(literal 1/6 binary64) (.f64 x x))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))
✓	cost-diff	128	(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))
✓	cost-diff	384	(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) x)

Rules

3292×	`-lowering-.f32`
3292×	`-lowering-.f64`
2482×	`/-lowering-/.f32`
2482×	`/-lowering-/.f64`
1518×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	44	481
1	138	417
2	404	378
3	1303	372
4	3961	372
5	7379	372
0	8081	372

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (/ x (/ 1 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24)))))))) x)
(/ x (/ 1 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))))
x
(/ 1 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24)))))))
1
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))
(* x (+ 1/2 (* x (+ 1/6 (* x 1/24)))))
(+ 1/2 (* x (+ 1/6 (* x 1/24))))
1/2
(* x (+ 1/6 (* x 1/24)))
(+ 1/6 (* x 1/24))
1/6
(* x 1/24)
1/24
(* 1/6 (* x x))
1/6
(* x x)
x
(+ (+ 1 (* x 1/2)) (* (+ 1/6 (* x 1/24)) (* x x)))
(+ 1 (* x 1/2))
1
(* x 1/2)
x
1/2
(* (+ 1/6 (* x 1/24)) (* x x))
(+ 1/6 (* x 1/24))
1/6
(* x 1/24)
1/24
(* x x)
(+ 1 (* x (+ 1/2 (* x (/ (- (* x (* x 1/576)) 1/36) (- (* x 1/24) 1/6))))))
1
(* x (+ 1/2 (* x (/ (- (* x (* x 1/576)) 1/36) (- (* x 1/24) 1/6)))))
x
(+ 1/2 (* x (/ (- (* x (* x 1/576)) 1/36) (- (* x 1/24) 1/6))))
1/2
(* x (/ (- (* x (* x 1/576)) 1/36) (- (* x 1/24) 1/6)))
(/ (- (* x (* x 1/576)) 1/36) (- (* x 1/24) 1/6))
(- (* x (* x 1/576)) 1/36)
(* x (* x 1/576))
(* x 1/576)
1/576
1/36
(- (* x 1/24) 1/6)
(* x 1/24)
1/24
1/6
(/ (* x (* (/ (* (- 1/1296 (* (* (* x x) (* x x)) 1/331776)) (/ 1 (- 1/6 (* x 1/24)))) (+ 1/36 (* x (* x 1/576)))) (* x x))) x)
(* x (* (/ (* (- 1/1296 (* (* (* x x) (* x x)) 1/331776)) (/ 1 (- 1/6 (* x 1/24)))) (+ 1/36 (* x (* x 1/576)))) (* x x)))
x
(* (/ (* (- 1/1296 (* (* (* x x) (* x x)) 1/331776)) (/ 1 (- 1/6 (* x 1/24)))) (+ 1/36 (* x (* x 1/576)))) (* x x))
(/ (* (- 1/1296 (* (* (* x x) (* x x)) 1/331776)) (/ 1 (- 1/6 (* x 1/24)))) (+ 1/36 (* x (* x 1/576))))
(* (- 1/1296 (* (* (* x x) (* x x)) 1/331776)) (/ 1 (- 1/6 (* x 1/24))))
(- 1/1296 (* (* (* x x) (* x x)) 1/331776))
1/1296
(* (* (* x x) (* x x)) 1/331776)
(* (* x x) (* x x))
(* x x)
1/331776
(/ 1 (- 1/6 (* x 1/24)))
1
(- 1/6 (* x 1/24))
1/6
(* x 1/24)
1/24
(+ 1/36 (* x (* x 1/576)))
1/36
(* x (* x 1/576))
(* x 1/576)
1/576

Outputs
(/ (/ x (/ 1 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24)))))))) x)
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
(/ x (/ 1 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))
x
(/ 1 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24)))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))
1
#s(literal 1 binary64)
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
(* x (+ 1/2 (* x (+ 1/6 (* x 1/24)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(+ 1/2 (* x (+ 1/6 (* x 1/24))))
(+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))
1/2
#s(literal 1/2 binary64)
(* x (+ 1/6 (* x 1/24)))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))
(+ 1/6 (* x 1/24))
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))
1/6
#s(literal 1/6 binary64)
(* x 1/24)
(*.f64 x #s(literal 1/24 binary64))
1/24
#s(literal 1/24 binary64)
(* 1/6 (* x x))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
1/6
#s(literal 1/6 binary64)
(* x x)
(*.f64 x x)
x
(+ (+ 1 (* x 1/2)) (* (+ 1/6 (* x 1/24)) (* x x)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
(+ 1 (* x 1/2))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
1
#s(literal 1 binary64)
(* x 1/2)
(*.f64 x #s(literal 1/2 binary64))
x
1/2
#s(literal 1/2 binary64)
(* (+ 1/6 (* x 1/24)) (* x x))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(+ 1/6 (* x 1/24))
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))
1/6
#s(literal 1/6 binary64)
(* x 1/24)
(*.f64 x #s(literal 1/24 binary64))
1/24
#s(literal 1/24 binary64)
(* x x)
(*.f64 x x)
(+ 1 (* x (+ 1/2 (* x (/ (- (* x (* x 1/576)) 1/36) (- (* x 1/24) 1/6))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/36 binary64))) (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64))))))
1
#s(literal 1 binary64)
(* x (+ 1/2 (* x (/ (- (* x (* x 1/576)) 1/36) (- (* x 1/24) 1/6)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/36 binary64))) (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)))))
x
(+ 1/2 (* x (/ (- (* x (* x 1/576)) 1/36) (- (* x 1/24) 1/6))))
(+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/36 binary64))) (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64))))
1/2
#s(literal 1/2 binary64)
(* x (/ (- (* x (* x 1/576)) 1/36) (- (* x 1/24) 1/6)))
(/.f64 (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/36 binary64))) (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)))
(/ (- (* x (* x 1/576)) 1/36) (- (* x 1/24) 1/6))
(/.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/36 binary64)) (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)))
(- (* x (* x 1/576)) 1/36)
(+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/36 binary64))
(* x (* x 1/576))
(.f64 (.f64 x x) #s(literal 1/576 binary64))
(* x 1/576)
(*.f64 x #s(literal 1/576 binary64))
1/576
#s(literal 1/576 binary64)
1/36
#s(literal 1/36 binary64)
(- (* x 1/24) 1/6)
(+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64))
(* x 1/24)
(*.f64 x #s(literal 1/24 binary64))
1/24
#s(literal 1/24 binary64)
1/6
#s(literal 1/6 binary64)
(/ (* x (* (/ (* (- 1/1296 (* (* (* x x) (* x x)) 1/331776)) (/ 1 (- 1/6 (* x 1/24)))) (+ 1/36 (* x (* x 1/576)))) (* x x))) x)
(/.f64 (.f64 (.f64 x x) (/.f64 (-.f64 #s(literal 1/1296 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/331776 binary64)))))) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))) (+.f64 (.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/36 binary64)))
(* x (* (/ (* (- 1/1296 (* (* (* x x) (* x x)) 1/331776)) (/ 1 (- 1/6 (* x 1/24)))) (+ 1/36 (* x (* x 1/576)))) (* x x)))
(/.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (-.f64 #s(literal 1/1296 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/331776 binary64)))))))) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))) (+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/36 binary64)))
x
(* (/ (* (- 1/1296 (* (* (* x x) (* x x)) 1/331776)) (/ 1 (- 1/6 (* x 1/24)))) (+ 1/36 (* x (* x 1/576)))) (* x x))
(/.f64 (.f64 (.f64 x x) (/.f64 (-.f64 #s(literal 1/1296 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/331776 binary64)))))) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))) (+.f64 (.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/36 binary64)))
(/ (* (- 1/1296 (* (* (* x x) (* x x)) 1/331776)) (/ 1 (- 1/6 (* x 1/24)))) (+ 1/36 (* x (* x 1/576))))
(/.f64 (-.f64 #s(literal 1/1296 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/331776 binary64)))))) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))) (+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/36 binary64))))
(* (- 1/1296 (* (* (* x x) (* x x)) 1/331776)) (/ 1 (- 1/6 (* x 1/24))))
(/.f64 (-.f64 #s(literal 1/1296 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/331776 binary64)))))) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/24 binary64))))
(- 1/1296 (* (* (* x x) (* x x)) 1/331776))
(-.f64 #s(literal 1/1296 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/331776 binary64))))))
1/1296
#s(literal 1/1296 binary64)
(* (* (* x x) (* x x)) 1/331776)
(.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/331776 binary64)))))
(* (* x x) (* x x))
(.f64 x (.f64 x (*.f64 x x)))
(* x x)
(*.f64 x x)
1/331776
#s(literal 1/331776 binary64)
(/ 1 (- 1/6 (* x 1/24)))
(/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)))
1
#s(literal 1 binary64)
(- 1/6 (* x 1/24))
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/24 binary64)))
1/6
#s(literal 1/6 binary64)
(* x 1/24)
(*.f64 x #s(literal 1/24 binary64))
1/24
#s(literal 1/24 binary64)
(+ 1/36 (* x (* x 1/576)))
(+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/36 binary64))
1/36
#s(literal 1/36 binary64)
(* x (* x 1/576))
(.f64 (.f64 x x) #s(literal 1/576 binary64))
(* x 1/576)
(*.f64 x #s(literal 1/576 binary64))
1/576
#s(literal 1/576 binary64)

localize256.0ms (2.5%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(*.f64 x #s(literal 1/576 binary64))
✓	accuracy	97.4%	(.f64 (-.f64 #s(literal 1/1296 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/331776 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))
✓	accuracy	84.9%	(/.f64 (.f64 x (.f64 (/.f64 (.f64 (-.f64 #s(literal 1/1296 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/331776 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal 1/576 binary64))))) (*.f64 x x))) x)
✓	accuracy	69.2%	(/.f64 (.f64 (-.f64 #s(literal 1/1296 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/331776 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal 1/576 binary64)))))
✓	accuracy	99.7%	(.f64 x (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal 1/36 binary64)) (-.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/24 binary64))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/576 binary64))
✓	accuracy	75.5%	(/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal 1/36 binary64)) (-.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))
✓	accuracy	100.0%	(+.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x)))
✓	accuracy	100.0%	(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))
✓	accuracy	99.8%	(.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (*.f64 x x))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/24 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.7%	(.f64 #s(literal 1/6 binary64) (.f64 x x))
✓	accuracy	99.7%	(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/24 binary64))
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))
✓	accuracy	97.8%	(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) x)

Results

175.0ms

256×

valid

Compiler

Compiled 492 to 45 computations (90.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 113.0ms

ival-mult: 50.0ms (44.2% of total)

ival-div: 23.0ms (20.3% of total)

...c/correct-round.rkt:119:19: 20.0ms (17.7% of total)

ival-add: 16.0ms (14.1% of total)

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

const: 1.0ms (0.9% of total)

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

series15.0ms (0.1%)

Counts

24 → 288

Calls

Call 1

Inputs
#<alt (/ (/ x (/ 1 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24)))))))) x)>
#<alt (/ x (/ 1 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))))>
#<alt (/ 1 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24)))))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))>
#<alt (* 1/6 (* x x))>
#<alt (* x x)>
#<alt (+ (+ 1 (* x 1/2)) (* (+ 1/6 (* x 1/24)) (* x x)))>
#<alt (+ 1 (* x 1/2))>
#<alt (* x 1/2)>
#<alt (* (+ 1/6 (* x 1/24)) (* x x))>
#<alt (+ 1 (* x (+ 1/2 (* x (/ (- (* x (* x 1/576)) 1/36) (- (* x 1/24) 1/6))))))>
#<alt (* x (+ 1/2 (* x (/ (- (* x (* x 1/576)) 1/36) (- (* x 1/24) 1/6)))))>
#<alt (+ 1/2 (* x (/ (- (* x (* x 1/576)) 1/36) (- (* x 1/24) 1/6))))>
#<alt (* x (/ (- (* x (* x 1/576)) 1/36) (- (* x 1/24) 1/6)))>
#<alt (/ (* x (* (/ (* (- 1/1296 (* (* (* x x) (* x x)) 1/331776)) (/ 1 (- 1/6 (* x 1/24)))) (+ 1/36 (* x (* x 1/576)))) (* x x))) x)>
#<alt (* x (* (/ (* (- 1/1296 (* (* (* x x) (* x x)) 1/331776)) (/ 1 (- 1/6 (* x 1/24)))) (+ 1/36 (* x (* x 1/576)))) (* x x)))>
#<alt (* (/ (* (- 1/1296 (* (* (* x x) (* x x)) 1/331776)) (/ 1 (- 1/6 (* x 1/24)))) (+ 1/36 (* x (* x 1/576)))) (* x x))>
#<alt (/ (* (- 1/1296 (* (* (* x x) (* x x)) 1/331776)) (/ 1 (- 1/6 (* x 1/24)))) (+ 1/36 (* x (* x 1/576))))>
#<alt (* x 1/24)>
#<alt (* x (+ 1/6 (* x 1/24)))>
#<alt (+ 1/6 (* x 1/24))>
#<alt (/ (- (* x (* x 1/576)) 1/36) (- (* x 1/24) 1/6))>
#<alt (* x 1/576)>
#<alt (* (- 1/1296 (* (* (* x x) (* x x)) 1/331776)) (/ 1 (- 1/6 (* x 1/24))))>

Outputs
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 x)))>
#<alt (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))>
#<alt (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))>
#<alt 1>
#<alt (+ 1 (* -1/2 x))>
#<alt (+ 1 (* x (- (* 1/12 x) 1/2)))>
#<alt (+ 1 (* x (- (* x (+ 1/12 (* 1/144 (pow x 2)))) 1/2)))>
#<alt (/ 24 (pow x 3))>
#<alt (/ (- 24 (* 96 (/ 1 x))) (pow x 3))>
#<alt (/ (- (+ 24 (/ 96 (pow x 2))) (* 96 (/ 1 x))) (pow x 3))>
#<alt (/ (- (+ 24 (+ (* 192 (/ 1 (pow x 3))) (/ 96 (pow x 2)))) (* 96 (/ 1 x))) (pow x 3))>
#<alt (/ 24 (pow x 3))>
#<alt (* -1 (/ (- (* 96 (/ 1 x)) 24) (pow x 3)))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 96 (/ 1 x)) 96) x)) 24) (pow x 3)))>
#<alt (* -1 (/ (- (* -1 (/ (- (+ (* 96 (/ 1 x)) (/ 192 (pow x 2))) 96) x)) 24) (pow x 3)))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (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 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* 1/2 x))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* 1/24 x)))>
#<alt (* (pow x 2) (+ 1/6 (* 1/24 x)))>
#<alt (* (pow x 2) (+ 1/6 (* 1/24 x)))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/6 x)))>
#<alt (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))>
#<alt (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/6 x))>
#<alt (+ 1/2 (* x (+ 1/6 (* 1/24 x))))>
#<alt (+ 1/2 (* x (+ 1/6 (* 1/24 x))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* 1/24 x)))>
#<alt (* x (+ 1/6 (* 1/24 x)))>
#<alt (* x (+ 1/6 (* 1/24 x)))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* 1/24 x)))>
#<alt (* (pow x 2) (+ 1/6 (* 1/24 x)))>
#<alt (* (pow x 2) (+ 1/6 (* 1/24 x)))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* 1/6 (pow x 3))>
#<alt (* (pow x 3) (+ 1/6 (* 1/24 x)))>
#<alt (* (pow x 3) (+ 1/6 (* 1/24 x)))>
#<alt (* (pow x 3) (+ 1/6 (* 1/24 x)))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* 1/24 x)))>
#<alt (* (pow x 2) (+ 1/6 (* 1/24 x)))>
#<alt (* (pow x 2) (+ 1/6 (* 1/24 x)))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt 1/6>
#<alt (+ 1/6 (* 1/24 x))>
#<alt (+ 1/6 (* 1/24 x))>
#<alt (+ 1/6 (* 1/24 x))>
#<alt (* 1/24 x)>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* 1/24 x)>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* 1/24 x)))>
#<alt (* x (+ 1/6 (* 1/24 x)))>
#<alt (* x (+ 1/6 (* 1/24 x)))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt 1/6>
#<alt (+ 1/6 (* 1/24 x))>
#<alt (+ 1/6 (* 1/24 x))>
#<alt (+ 1/6 (* 1/24 x))>
#<alt (* 1/24 x)>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* 1/24 x)>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt 1/6>
#<alt (+ 1/6 (* 1/24 x))>
#<alt (+ 1/6 (* 1/24 x))>
#<alt (+ 1/6 (* 1/24 x))>
#<alt (* 1/24 x)>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* 1/24 x)>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* 1/576 x)>
#<alt (* 1/576 x)>
#<alt (* 1/576 x)>
#<alt (* 1/576 x)>
#<alt (* 1/576 x)>
#<alt (* 1/576 x)>
#<alt (* 1/576 x)>
#<alt (* 1/576 x)>
#<alt (* 1/576 x)>
#<alt (* 1/576 x)>
#<alt (* 1/576 x)>
#<alt (* 1/576 x)>
#<alt 1/216>
#<alt (+ 1/216 (* 1/864 x))>
#<alt (+ 1/216 (* x (+ 1/864 (* 1/3456 x))))>
#<alt (+ 1/216 (* x (+ 1/864 (* x (+ 1/3456 (* 1/13824 x))))))>
#<alt (* 1/13824 (pow x 3))>
#<alt (* (pow x 3) (+ 1/13824 (* 1/3456 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/13824 (+ (/ 1/864 (pow x 2)) (* 1/3456 (/ 1 x)))))>
#<alt (* (pow x 3) (+ 1/13824 (+ (/ 1/864 (pow x 2)) (+ (* 1/3456 (/ 1 x)) (* 1/216 (/ 1 (pow x 3)))))))>
#<alt (* 1/13824 (pow x 3))>
#<alt (* (pow x 3) (+ 1/13824 (* 1/3456 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/3456 (* 1/864 (/ 1 x))) x)) 1/13824)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/3456 (+ (/ 1/216 (pow x 2)) (* 1/864 (/ 1 x)))) x)) 1/13824)))>

Calls

72 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(* (/ (* (- 1/1296 (* (* (* x x) (* x x)) 1/331776)) (/ 1 (- 1/6 (* x 1/24)))) (+ 1/36 (* x (* x 1/576)))) (* x x))
1.0ms	x	@	inf	(/ (* x (* (/ (* (- 1/1296 (* (* (* x x) (* x x)) 1/331776)) (/ 1 (- 1/6 (* x 1/24)))) (+ 1/36 (* x (* x 1/576)))) (* x x))) x)
1.0ms	x	@	0	(/ (* x (* (/ (* (- 1/1296 (* (* (* x x) (* x x)) 1/331776)) (/ 1 (- 1/6 (* x 1/24)))) (+ 1/36 (* x (* x 1/576)))) (* x x))) x)
1.0ms	x	@	-inf	(/ (* x (* (/ (* (- 1/1296 (* (* (* x x) (* x x)) 1/331776)) (/ 1 (- 1/6 (* x 1/24)))) (+ 1/36 (* x (* x 1/576)))) (* x x))) x)
1.0ms	x	@	inf	(* x (+ 1/2 (* x (/ (- (* x (* x 1/576)) 1/36) (- (* x 1/24) 1/6)))))

rewrite427.0ms (4.2%)

Algorithm

1×	batch-egg-rewrite

Rules

3078×	`-lowering-.f32`
3078×	`-lowering-.f64`
2780×	`fma-lowering-fma.f32`
2780×	`fma-lowering-fma.f64`
1746×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	44	315
1	316	215
2	3038	207
0	8426	207

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 1132

Calls

Call 1

Inputs
(/ (/ x (/ 1 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24)))))))) x)
(/ x (/ 1 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))))
(/ 1 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24)))))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))
(* 1/6 (* x x))
(* x x)
(+ (+ 1 (* x 1/2)) (* (+ 1/6 (* x 1/24)) (* x x)))
(+ 1 (* x 1/2))
(* x 1/2)
(* (+ 1/6 (* x 1/24)) (* x x))
(+ 1 (* x (+ 1/2 (* x (/ (- (* x (* x 1/576)) 1/36) (- (* x 1/24) 1/6))))))
(* x (+ 1/2 (* x (/ (- (* x (* x 1/576)) 1/36) (- (* x 1/24) 1/6)))))
(+ 1/2 (* x (/ (- (* x (* x 1/576)) 1/36) (- (* x 1/24) 1/6))))
(* x (/ (- (* x (* x 1/576)) 1/36) (- (* x 1/24) 1/6)))
(/ (* x (* (/ (* (- 1/1296 (* (* (* x x) (* x x)) 1/331776)) (/ 1 (- 1/6 (* x 1/24)))) (+ 1/36 (* x (* x 1/576)))) (* x x))) x)
(* x (* (/ (* (- 1/1296 (* (* (* x x) (* x x)) 1/331776)) (/ 1 (- 1/6 (* x 1/24)))) (+ 1/36 (* x (* x 1/576)))) (* x x)))
(* (/ (* (- 1/1296 (* (* (* x x) (* x x)) 1/331776)) (/ 1 (- 1/6 (* x 1/24)))) (+ 1/36 (* x (* x 1/576)))) (* x x))
(/ (* (- 1/1296 (* (* (* x x) (* x x)) 1/331776)) (/ 1 (- 1/6 (* x 1/24)))) (+ 1/36 (* x (* x 1/576))))
(* x 1/24)
(* x (+ 1/6 (* x 1/24)))
(+ 1/6 (* x 1/24))
(/ (- (* x (* x 1/576)) 1/36) (- (* x 1/24) 1/6))
(* x 1/576)
(* (- 1/1296 (* (* (* x x) (* x x)) 1/331776)) (/ 1 (- 1/6 (* x 1/24))))

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))) (-.f64 #s(literal 0 binary64) x)))
(neg.f64 (/.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))) x))
(/.f64 x (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))) #s(literal 1 binary64)))
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))) x)
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) x) (neg.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))))
(/.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) x))
(/.f64 (.f64 x (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))))
(/.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) #s(literal 1 binary64)) x)
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))))
(/.f64 (/.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))
(pow.f64 (/.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))) #s(literal -1 binary64))
(pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) x) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) x) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))))
(.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))) x))
(.f64 #s(literal 1 binary64) (/.f64 x (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) (/.f64 #s(literal 1 binary64) x))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))
(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))
(.f64 (pow.f64 (/.f64 x x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))
(.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))))
(+.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))
(+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))) x)
(+.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))) (.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))
(+.f64 (.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))))
(+.f64 (.f64 #s(literal 1 binary64) x) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) x))
(+.f64 (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) x) (*.f64 #s(literal 1 binary64) x))
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) x) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) x))
(+.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) x) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) x))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))) #s(literal -1 binary64)))
(fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))
(fma.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) x)
(fma.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
(fma.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1 binary64) x (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) x))
(fma.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) x (.f64 #s(literal 1 binary64) x))
(fma.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) x (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) x))
(fma.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) x (.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x))
(neg.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))))
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))))
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(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))) (/.f64 (.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))
(-.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))
(fma.f64 x #s(literal 1/2 binary64) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
(fma.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))
(fma.f64 #s(literal 1/2 binary64) x (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
(fma.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) x #s(literal 1 binary64))
(fma.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) #s(literal 1 binary64)))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))
(fma.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x))) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))
(fma.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) #s(literal 1 binary64)))
(fma.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))
(fma.f64 (.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) x #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))))) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (.f64 (.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) (.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) (.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))
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(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))) (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) #s(literal 1 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))) (+.f64 (.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))
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(.f64 (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal 1/576 binary64)))) (-.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal 1/576 binary64))))) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))
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(*.f64 x #s(literal 1/576 binary64))
(*.f64 #s(literal 1/576 binary64) x)
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) #s(literal 1/1296 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/331776 binary64))))
(+.f64 (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/331776 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))
(-.f64 (/.f64 #s(literal 1/1296 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/331776 binary64)))) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))
(fma.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/331776 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) #s(literal 1/1296 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -1/331776 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (+.f64 #s(literal 1/1296 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -1/331776 binary64)))))
(/.f64 (+.f64 #s(literal 1/1296 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/331776 binary64))) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))
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(/.f64 (-.f64 #s(literal 1/1679616 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/110075314176 binary64))) (.f64 (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (+.f64 #s(literal 1/1296 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/331776 binary64)))))))
(/.f64 (.f64 (+.f64 #s(literal 1/2176782336 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1/36520347436056576 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1/1679616 binary64) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/331776 binary64)))) (+.f64 #s(literal 1/1296 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/331776 binary64))))))) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal 1/2176782336 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1/36520347436056576 binary64))) #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 1/1679616 binary64) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/331776 binary64)))) (+.f64 #s(literal 1/1296 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/331776 binary64))))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))
(/.f64 (.f64 (-.f64 #s(literal 1/1679616 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/110075314176 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1/1296 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/331776 binary64))))) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/1679616 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/110075314176 binary64))) #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 1/1296 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/331776 binary64))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2176782336 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1/36520347436056576 binary64)))) (.f64 (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (+.f64 #s(literal 1/1679616 binary64) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/331776 binary64)))) (+.f64 #s(literal 1/1296 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/331776 binary64)))))))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/1679616 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/110075314176 binary64)))) (.f64 (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (+.f64 #s(literal 1/1296 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/331776 binary64)))))))
(/.f64 (.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2176782336 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1/36520347436056576 binary64)))) (.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) (+.f64 #s(literal 1/1679616 binary64) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/331776 binary64)))) (+.f64 #s(literal 1/1296 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/331776 binary64)))))))))
(/.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/1679616 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/110075314176 binary64)))) (.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) (+.f64 #s(literal 1/1296 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/331776 binary64)))))))
(/.f64 (.f64 (+.f64 #s(literal 1/2176782336 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1/36520347436056576 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/1679616 binary64) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/331776 binary64)))) (+.f64 #s(literal 1/1296 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/331776 binary64))))))))
(/.f64 (.f64 (-.f64 #s(literal 1/1679616 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/110075314176 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/1296 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/331776 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/1296 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/331776 binary64)))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal 1/1296 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/331776 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) (+.f64 #s(literal 1/2176782336 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1/36520347436056576 binary64)))) (+.f64 #s(literal 1/1679616 binary64) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/331776 binary64)))) (+.f64 #s(literal 1/1296 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/331776 binary64))))))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) (-.f64 #s(literal 1/1679616 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/110075314176 binary64)))) (+.f64 #s(literal 1/1296 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/331776 binary64))))))
(/.f64 (.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/1296 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/331776 binary64)))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))
(pow.f64 (/.f64 (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (+.f64 #s(literal 1/1296 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -1/331776 binary64)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(.f64 (+.f64 #s(literal 1/1296 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/331776 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) (+.f64 #s(literal 1/1296 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/331776 binary64))))
(.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))
(.f64 (/.f64 (+.f64 #s(literal 1/1296 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/331776 binary64))) (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1/13824 binary64)))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))

simplify233.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

3088×	`-lowering-.f32`
3088×	`-lowering-.f64`
2196×	`+-lowering-+.f64`
2196×	`+-lowering-+.f32`
1520×	`sum3-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	171	2106
1	571	1885
2	1759	1842
3	5733	1829
0	8250	1829

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

Inputs
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))
1
(+ 1 (* -1/2 x))
(+ 1 (* x (- (* 1/12 x) 1/2)))
(+ 1 (* x (- (* x (+ 1/12 (* 1/144 (pow x 2)))) 1/2)))
(/ 24 (pow x 3))
(/ (- 24 (* 96 (/ 1 x))) (pow x 3))
(/ (- (+ 24 (/ 96 (pow x 2))) (* 96 (/ 1 x))) (pow x 3))
(/ (- (+ 24 (+ (* 192 (/ 1 (pow x 3))) (/ 96 (pow x 2)))) (* 96 (/ 1 x))) (pow x 3))
(/ 24 (pow x 3))
(* -1 (/ (- (* 96 (/ 1 x)) 24) (pow x 3)))
(* -1 (/ (- (* -1 (/ (- (* 96 (/ 1 x)) 96) x)) 24) (pow x 3)))
(* -1 (/ (- (* -1 (/ (- (+ (* 96 (/ 1 x)) (/ 192 (pow x 2))) 96) x)) 24) (pow x 3)))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
1
(+ 1 (* 1/2 x))
(+ 1 (* 1/2 x))
(+ 1 (* 1/2 x))
(* 1/2 x)
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* 1/2 x)
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/24 x)))
(* (pow x 2) (+ 1/6 (* 1/24 x)))
(* (pow x 2) (+ 1/6 (* 1/24 x)))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
(* 1/2 x)
(* x (+ 1/2 (* 1/6 x)))
(* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))
(* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
1/2
(+ 1/2 (* 1/6 x))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* 1/6 x)
(* x (+ 1/6 (* 1/24 x)))
(* x (+ 1/6 (* 1/24 x)))
(* x (+ 1/6 (* 1/24 x)))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/24 x)))
(* (pow x 2) (+ 1/6 (* 1/24 x)))
(* (pow x 2) (+ 1/6 (* 1/24 x)))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* 1/24 x)))
(* (pow x 3) (+ 1/6 (* 1/24 x)))
(* (pow x 3) (+ 1/6 (* 1/24 x)))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/24 x)))
(* (pow x 2) (+ 1/6 (* 1/24 x)))
(* (pow x 2) (+ 1/6 (* 1/24 x)))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
1/6
(+ 1/6 (* 1/24 x))
(+ 1/6 (* 1/24 x))
(+ 1/6 (* 1/24 x))
(* 1/24 x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/24 x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/6 x)
(* x (+ 1/6 (* 1/24 x)))
(* x (+ 1/6 (* 1/24 x)))
(* x (+ 1/6 (* 1/24 x)))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
1/6
(+ 1/6 (* 1/24 x))
(+ 1/6 (* 1/24 x))
(+ 1/6 (* 1/24 x))
(* 1/24 x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/24 x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
1/6
(+ 1/6 (* 1/24 x))
(+ 1/6 (* 1/24 x))
(+ 1/6 (* 1/24 x))
(* 1/24 x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/24 x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/576 x)
(* 1/576 x)
(* 1/576 x)
(* 1/576 x)
(* 1/576 x)
(* 1/576 x)
(* 1/576 x)
(* 1/576 x)
(* 1/576 x)
(* 1/576 x)
(* 1/576 x)
(* 1/576 x)
1/216
(+ 1/216 (* 1/864 x))
(+ 1/216 (* x (+ 1/864 (* 1/3456 x))))
(+ 1/216 (* x (+ 1/864 (* x (+ 1/3456 (* 1/13824 x))))))
(* 1/13824 (pow x 3))
(* (pow x 3) (+ 1/13824 (* 1/3456 (/ 1 x))))
(* (pow x 3) (+ 1/13824 (+ (/ 1/864 (pow x 2)) (* 1/3456 (/ 1 x)))))
(* (pow x 3) (+ 1/13824 (+ (/ 1/864 (pow x 2)) (+ (* 1/3456 (/ 1 x)) (* 1/216 (/ 1 (pow x 3)))))))
(* 1/13824 (pow x 3))
(* (pow x 3) (+ 1/13824 (* 1/3456 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/3456 (* 1/864 (/ 1 x))) x)) 1/13824)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/3456 (+ (/ 1/216 (pow x 2)) (* 1/864 (/ 1 x)))) x)) 1/13824)))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
(* 1/24 (pow x 3))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))) #s(literal 1 binary64))
(* 1/24 (pow x 3))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(.f64 x (.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))) x)))
x
(* x (+ 1 (* 1/2 x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))
(* 1/24 (pow x 4))
(.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x (.f64 x x)))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(.f64 (+.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) x) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (.f64 x (.f64 x (*.f64 x x))))
(* 1/24 (pow x 4))
(.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x (.f64 x x)))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(.f64 (+.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) x) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))
(+ 1 (* x (- (* 1/12 x) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/12 binary64)))))
(+ 1 (* x (- (* x (+ 1/12 (* 1/144 (pow x 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/144 binary64)))))))
(/ 24 (pow x 3))
(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x x)))
(/ (- 24 (* 96 (/ 1 x))) (pow x 3))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -96 binary64) x)) (.f64 x (.f64 x x)))
(/ (- (+ 24 (/ 96 (pow x 2))) (* 96 (/ 1 x))) (pow x 3))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 (+.f64 (/.f64 #s(literal 96 binary64) x) #s(literal -96 binary64)) x)) (.f64 x (.f64 x x)))
(/ (- (+ 24 (+ (* 192 (/ 1 (pow x 3))) (/ 96 (pow x 2)))) (* 96 (/ 1 x))) (pow x 3))
(/.f64 (+.f64 (+.f64 #s(literal 24 binary64) (/.f64 (+.f64 (/.f64 #s(literal 96 binary64) x) #s(literal -96 binary64)) x)) (/.f64 #s(literal 192 binary64) (.f64 x (.f64 x x)))) (.f64 x (.f64 x x)))
(/ 24 (pow x 3))
(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x x)))
(* -1 (/ (- (* 96 (/ 1 x)) 24) (pow x 3)))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -96 binary64) x)) (.f64 x (.f64 x x)))
(* -1 (/ (- (* -1 (/ (- (* 96 (/ 1 x)) 96) x)) 24) (pow x 3)))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 (+.f64 (/.f64 #s(literal 96 binary64) x) #s(literal -96 binary64)) x)) (.f64 x (.f64 x x)))
(* -1 (/ (- (* -1 (/ (- (+ (* 96 (/ 1 x)) (/ 192 (pow x 2))) 96) x)) 24) (pow x 3)))
(/.f64 (/.f64 (+.f64 #s(literal 24 binary64) (/.f64 (+.f64 (/.f64 #s(literal 96 binary64) x) (+.f64 (/.f64 #s(literal 192 binary64) (.f64 x x)) #s(literal -96 binary64))) x)) x) (.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
(* 1/24 (pow x 3))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))) #s(literal 1 binary64))
(* 1/24 (pow x 3))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(.f64 x (.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))) x)))
(* 1/6 (pow x 2))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
(* 1/24 (pow x 3))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))) #s(literal 1 binary64))
(* 1/24 (pow x 3))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(.f64 x (.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))) x)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(+ 1 (* 1/2 x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(+ 1 (* 1/2 x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(* x (+ 1/2 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(* x (+ 1/2 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(* x (+ 1/2 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(* x (+ 1/2 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/6 (pow x 2))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/6 (* 1/24 x)))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(* (pow x 2) (+ 1/6 (* 1/24 x)))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(* (pow x 2) (+ 1/6 (* 1/24 x)))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(* 1/24 (pow x 3))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(* 1/24 (pow x 3))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
1
#s(literal 1 binary64)
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(.f64 (.f64 x x) (+.f64 #s(literal 1/3456 binary64) (*.f64 x #s(literal 1/13824 binary64))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/3456 (* 1/864 (/ 1 x))) x)) 1/13824)))
(.f64 x (.f64 (*.f64 x x) (+.f64 #s(literal 1/13824 binary64) (/.f64 (+.f64 #s(literal 1/3456 binary64) (/.f64 #s(literal 1/864 binary64) x)) x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/3456 (+ (/ 1/216 (pow x 2)) (* 1/864 (/ 1 x)))) x)) 1/13824)))
(.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/13824 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/864 binary64) x) (+.f64 #s(literal 1/3456 binary64) (/.f64 #s(literal 1/216 binary64) (.f64 x x)))) x))))

eval251.0ms (2.5%)

Compiler: Compiled 56904 to 3732 computations (93.4% saved)

prune293.0ms (2.9%)

Pruning

42 alts after pruning (35 fresh and 7 done)

	Pruned	Kept	Total
New	1626	18	1644
Fresh	13	17	30
Picked	4	1	5
Done	0	6	6
Total	1643	42	1685

Accuracy

100.0%

Counts

1685 → 42

Alt Table

Click to see full alt table

Status	Accuracy	Program
	36.2%	(/.f64 (/.f64 (-.f64 (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x))) (.f64 x x)) (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)) x)) x)
	54.8%	(/.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)))) x) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) x)
	9.1%	(/.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) x) (+.f64 (.f64 x (*.f64 x #s(literal 1/576 binary64))) #s(literal 1/36 binary64))) x)
	20.4%	(/.f64 (/.f64 x (/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -96 binary64) x)) (.f64 x (.f64 x x)))) x)
	20.7%	(/.f64 (/.f64 x (/.f64 #s(literal 24 binary64) (.f64 x (.f64 x x)))) x)
	69.3%	(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))))) x)
	21.2%	(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))) x)
	52.5%	(/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/12 binary64)))))) x)
	54.5%	(/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) x)
	27.7%	(/.f64 (-.f64 (.f64 x (exp.f64 x)) x) (.f64 x x))
	52.3%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) #s(literal -1 binary64)))))
	21.2%	(/.f64 (.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64))) (.f64 x x)) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))
	21.2%	(/.f64 (.f64 (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64)))) x) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))
	7.3%	(/.f64 (.f64 (.f64 x x) (.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal 1/36 binary64)))
	5.9%	(/.f64 (.f64 x (.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/1679616 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/110075314176 binary64))) (.f64 (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (+.f64 #s(literal 1/1296 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/331776 binary64))))))) (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal 1/576 binary64))))) (*.f64 x x))) x)
	7.1%	(/.f64 (.f64 x (.f64 (/.f64 (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) (-.f64 #s(literal 1/1679616 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/110075314176 binary64)))) (+.f64 #s(literal 1/1296 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/331776 binary64)))))) (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal 1/576 binary64))))) (*.f64 x x))) x)
	3.5%	(/.f64 (.f64 x (.f64 (/.f64 (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) (+.f64 #s(literal 1/2176782336 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1/36520347436056576 binary64)))) (+.f64 #s(literal 1/1679616 binary64) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/331776 binary64)))) (+.f64 #s(literal 1/1296 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/331776 binary64)))))))) (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal 1/576 binary64))))) (.f64 x x))) x)
	21.2%	(/.f64 (.f64 x (.f64 (/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64))) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) (.f64 x x))) x)
	5.6%	(/.f64 (.f64 x (.f64 (/.f64 (.f64 (-.f64 #s(literal 1/46656 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/191102976 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/1296 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal 1/576 binary64))))))) (.f64 x x))) x)
	5.7%	(/.f64 (.f64 x (.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal 1/576 binary64))))) (.f64 x x))) x)
✓	100.0%	(/.f64 (expm1.f64 x) x)
	69.2%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) x))
	53.6%	(+.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 (/.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64))))) (*.f64 x x)))
✓	66.2%	(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/6 binary64)))))
	68.6%	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))) (.f64 #s(literal 1/24 binary64) (.f64 x x)))))
	52.8%	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/46656 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/191102976 binary64)))) x) (.f64 (+.f64 #s(literal 1/1296 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal 1/576 binary64)))))) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))
	54.3%	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) x) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64))))))))
	54.3%	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)))) (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) x))))))
✓	68.6%	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
✓	51.5%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
	69.2%	(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))
	20.5%	(.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (*.f64 x x))
	20.5%	(.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64))) (.f64 (/.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) x))
	20.5%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) (-.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal 1/576 binary64))))) (.f64 x x))
	20.5%	(.f64 (.f64 x (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) (-.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal 1/576 binary64)))))) x)
	18.4%	(.f64 (.f64 x #s(literal 1/6 binary64)) x)
	20.3%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
	20.0%	(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
	20.0%	(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
✓	3.9%	(*.f64 #s(literal 1/2 binary64) x)
✓	18.4%	(.f64 #s(literal 1/6 binary64) (.f64 x x))
✓	50.9%	#s(literal 1 binary64)

Compiler

Compiled 2597 to 903 computations (65.2% saved)

regimes49.0ms (0.5%)

Counts

69 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (*.f64 x x))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/6 binary64)))))
(/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) x)
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(/.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x)))) x)
(/.f64 (.f64 x (.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x x))) x)
(/.f64 (/.f64 x (/.f64 #s(literal 24 binary64) (.f64 x (.f64 x x)))) x)
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
(/.f64 (.f64 x (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x))) x)
(/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/12 binary64)))))) x)
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))) (.f64 #s(literal 1/24 binary64) (.f64 x x)))))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x)))
(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))) x)
(/.f64 (/.f64 x (/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -96 binary64) x)) (.f64 x (.f64 x x)))) x)
(.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64))) (.f64 (/.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) x))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))
(+.f64 #s(literal 1 binary64) (.f64 x (/.f64 #s(literal -1/4 binary64) (-.f64 (.f64 x #s(literal 1/6 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64))))))
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))) x)
(/.f64 (.f64 (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64)))) x) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64))) (.f64 x x)) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))
(.f64 (.f64 x (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) (-.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal 1/576 binary64)))))) x)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) (-.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal 1/576 binary64))))) (.f64 x x))
(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))
(/.f64 x (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))) x))
(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) x)
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x)))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal 1/36 binary64)) (-.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) x) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x))))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) x))
(/.f64 (.f64 x (.f64 (/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64))) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) (.f64 x x))) x)
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x)))))))
(+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/72 binary64)))) (-.f64 (.f64 x #s(literal 1/6 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64))))))
(/.f64 (.f64 x (.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal 1/576 binary64))))) (.f64 x x))) x)
(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))))) x)
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) x) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x))))))) x)
(/.f64 (.f64 (.f64 x x) (.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal 1/36 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) (+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal 1/144 binary64) x))))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1/13824 binary64))) x) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) (-.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) x) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64))))))))
(/.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) x) (+.f64 (.f64 x (*.f64 x #s(literal 1/576 binary64))) #s(literal 1/36 binary64))) x)
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)))) (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) x))))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x)))) x) (-.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 (/.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64))))) (*.f64 x x)))
(/.f64 (.f64 x (.f64 (/.f64 (.f64 (-.f64 #s(literal 1/1296 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/331776 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal 1/576 binary64))))) (*.f64 x x))) x)
(+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)))) (-.f64 (.f64 x #s(literal 1/6 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)))) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))) #s(literal 1 binary64)) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x)) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x))) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (-.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x)) (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)))) x) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) x)
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/46656 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/191102976 binary64)))) x) (.f64 (+.f64 #s(literal 1/1296 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal 1/576 binary64)))))) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))
(/.f64 (.f64 x (.f64 (/.f64 (.f64 (-.f64 #s(literal 1/46656 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/191102976 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/1296 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal 1/576 binary64))))))) (.f64 x x))) x)
(/.f64 (/.f64 (-.f64 (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x))) (.f64 x x)) (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)) x)) x)
(/.f64 (.f64 x (.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/1679616 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/110075314176 binary64))) (.f64 (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (+.f64 #s(literal 1/1296 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/331776 binary64))))))) (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal 1/576 binary64))))) (*.f64 x x))) x)
(/.f64 (.f64 x (.f64 (/.f64 (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) (-.f64 #s(literal 1/1679616 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/110075314176 binary64)))) (+.f64 #s(literal 1/1296 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/331776 binary64)))))) (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal 1/576 binary64))))) (*.f64 x x))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) #s(literal -1 binary64)))))
(/.f64 (.f64 x (.f64 (/.f64 (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) (+.f64 #s(literal 1/2176782336 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1/36520347436056576 binary64)))) (+.f64 #s(literal 1/1679616 binary64) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/331776 binary64)))) (+.f64 #s(literal 1/1296 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/331776 binary64)))))))) (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal 1/576 binary64))))) (.f64 x x))) x)
(/.f64 (.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x))))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x))) (.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (*.f64 x x))))) x))
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
(/.f64 (-.f64 (.f64 x (exp.f64 x)) x) (.f64 x x))

Outputs
(/.f64 (expm1.f64 x) x)

Calls

2 calls:

20.0ms	x
18.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes26.0ms (0.3%)

Counts

66 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (*.f64 x x))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/6 binary64)))))
(/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) x)
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(/.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x)))) x)
(/.f64 (.f64 x (.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x x))) x)
(/.f64 (/.f64 x (/.f64 #s(literal 24 binary64) (.f64 x (.f64 x x)))) x)
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
(/.f64 (.f64 x (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x))) x)
(/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/12 binary64)))))) x)
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))) (.f64 #s(literal 1/24 binary64) (.f64 x x)))))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x)))
(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))) x)
(/.f64 (/.f64 x (/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -96 binary64) x)) (.f64 x (.f64 x x)))) x)
(.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64))) (.f64 (/.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) x))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))
(+.f64 #s(literal 1 binary64) (.f64 x (/.f64 #s(literal -1/4 binary64) (-.f64 (.f64 x #s(literal 1/6 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64))))))
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))) x)
(/.f64 (.f64 (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64)))) x) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64))) (.f64 x x)) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))
(.f64 (.f64 x (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) (-.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal 1/576 binary64)))))) x)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) (-.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal 1/576 binary64))))) (.f64 x x))
(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))
(/.f64 x (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))) x))
(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) x)
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x)))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal 1/36 binary64)) (-.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) x) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x))))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) x))
(/.f64 (.f64 x (.f64 (/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64))) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) (.f64 x x))) x)
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x)))))))
(+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/72 binary64)))) (-.f64 (.f64 x #s(literal 1/6 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64))))))
(/.f64 (.f64 x (.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal 1/576 binary64))))) (.f64 x x))) x)
(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))))) x)
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) x) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x))))))) x)
(/.f64 (.f64 (.f64 x x) (.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal 1/36 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) (+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal 1/144 binary64) x))))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1/13824 binary64))) x) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) (-.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) x) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64))))))))
(/.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) x) (+.f64 (.f64 x (*.f64 x #s(literal 1/576 binary64))) #s(literal 1/36 binary64))) x)
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)))) (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) x))))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x)))) x) (-.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 (/.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64))))) (*.f64 x x)))
(/.f64 (.f64 x (.f64 (/.f64 (.f64 (-.f64 #s(literal 1/1296 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/331776 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal 1/576 binary64))))) (*.f64 x x))) x)
(+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)))) (-.f64 (.f64 x #s(literal 1/6 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)))) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))) #s(literal 1 binary64)) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x)) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x))) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (-.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x)) (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)))) x) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) x)
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/46656 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/191102976 binary64)))) x) (.f64 (+.f64 #s(literal 1/1296 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal 1/576 binary64)))))) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))
(/.f64 (.f64 x (.f64 (/.f64 (.f64 (-.f64 #s(literal 1/46656 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/191102976 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/1296 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal 1/576 binary64))))))) (.f64 x x))) x)
(/.f64 (/.f64 (-.f64 (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x))) (.f64 x x)) (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)) x)) x)
(/.f64 (.f64 x (.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/1679616 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/110075314176 binary64))) (.f64 (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (+.f64 #s(literal 1/1296 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/331776 binary64))))))) (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal 1/576 binary64))))) (*.f64 x x))) x)
(/.f64 (.f64 x (.f64 (/.f64 (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) (-.f64 #s(literal 1/1679616 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/110075314176 binary64)))) (+.f64 #s(literal 1/1296 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/331776 binary64)))))) (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal 1/576 binary64))))) (*.f64 x x))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) #s(literal -1 binary64)))))
(/.f64 (.f64 x (.f64 (/.f64 (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) (+.f64 #s(literal 1/2176782336 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1/36520347436056576 binary64)))) (+.f64 #s(literal 1/1679616 binary64) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/331776 binary64)))) (+.f64 #s(literal 1/1296 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/331776 binary64)))))))) (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal 1/576 binary64))))) (.f64 x x))) x)
(/.f64 (.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x))))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x))) (.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (*.f64 x x))))) x))

Outputs

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

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

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

Calls

1 calls:

18.0ms

Results

Accuracy	Segments	Branch
77.9%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes25.0ms (0.2%)

Counts

60 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (*.f64 x x))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/6 binary64)))))
(/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) x)
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(/.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x)))) x)
(/.f64 (.f64 x (.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x x))) x)
(/.f64 (/.f64 x (/.f64 #s(literal 24 binary64) (.f64 x (.f64 x x)))) x)
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
(/.f64 (.f64 x (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x))) x)
(/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/12 binary64)))))) x)
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))) (.f64 #s(literal 1/24 binary64) (.f64 x x)))))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x)))
(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))) x)
(/.f64 (/.f64 x (/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -96 binary64) x)) (.f64 x (.f64 x x)))) x)
(.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64))) (.f64 (/.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) x))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))
(+.f64 #s(literal 1 binary64) (.f64 x (/.f64 #s(literal -1/4 binary64) (-.f64 (.f64 x #s(literal 1/6 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64))))))
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))) x)
(/.f64 (.f64 (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64)))) x) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64))) (.f64 x x)) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))
(.f64 (.f64 x (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) (-.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal 1/576 binary64)))))) x)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) (-.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal 1/576 binary64))))) (.f64 x x))
(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))
(/.f64 x (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))) x))
(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) x)
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x)))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal 1/36 binary64)) (-.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) x) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x))))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) x))
(/.f64 (.f64 x (.f64 (/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64))) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) (.f64 x x))) x)
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x)))))))
(+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/72 binary64)))) (-.f64 (.f64 x #s(literal 1/6 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64))))))
(/.f64 (.f64 x (.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal 1/576 binary64))))) (.f64 x x))) x)
(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))))) x)
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) x) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x))))))) x)
(/.f64 (.f64 (.f64 x x) (.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal 1/36 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) (+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal 1/144 binary64) x))))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1/13824 binary64))) x) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) (-.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) x) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64))))))))
(/.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) x) (+.f64 (.f64 x (*.f64 x #s(literal 1/576 binary64))) #s(literal 1/36 binary64))) x)
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)))) (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) x))))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x)))) x) (-.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 (/.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64))))) (*.f64 x x)))
(/.f64 (.f64 x (.f64 (/.f64 (.f64 (-.f64 #s(literal 1/1296 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/331776 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal 1/576 binary64))))) (*.f64 x x))) x)
(+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)))) (-.f64 (.f64 x #s(literal 1/6 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)))) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))) #s(literal 1 binary64)) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x)) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x))) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (-.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x)) (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)))) x) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) x)
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/46656 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/191102976 binary64)))) x) (.f64 (+.f64 #s(literal 1/1296 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal 1/576 binary64)))))) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))
(/.f64 (.f64 x (.f64 (/.f64 (.f64 (-.f64 #s(literal 1/46656 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/191102976 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/1296 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal 1/576 binary64))))))) (.f64 x x))) x)

Outputs

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

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

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

Calls

1 calls:

16.0ms

Results

Accuracy	Segments	Branch
76.8%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes22.0ms (0.2%)

Counts

57 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (*.f64 x x))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/6 binary64)))))
(/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) x)
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(/.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x)))) x)
(/.f64 (.f64 x (.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x x))) x)
(/.f64 (/.f64 x (/.f64 #s(literal 24 binary64) (.f64 x (.f64 x x)))) x)
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
(/.f64 (.f64 x (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x))) x)
(/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/12 binary64)))))) x)
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))) (.f64 #s(literal 1/24 binary64) (.f64 x x)))))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x)))
(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))) x)
(/.f64 (/.f64 x (/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -96 binary64) x)) (.f64 x (.f64 x x)))) x)
(.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64))) (.f64 (/.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) x))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))
(+.f64 #s(literal 1 binary64) (.f64 x (/.f64 #s(literal -1/4 binary64) (-.f64 (.f64 x #s(literal 1/6 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64))))))
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))) x)
(/.f64 (.f64 (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64)))) x) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64))) (.f64 x x)) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))
(.f64 (.f64 x (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) (-.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal 1/576 binary64)))))) x)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) (-.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal 1/576 binary64))))) (.f64 x x))
(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))
(/.f64 x (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))) x))
(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) x)
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x)))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal 1/36 binary64)) (-.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) x) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x))))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) x))
(/.f64 (.f64 x (.f64 (/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64))) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) (.f64 x x))) x)
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x)))))))
(+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/72 binary64)))) (-.f64 (.f64 x #s(literal 1/6 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64))))))
(/.f64 (.f64 x (.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal 1/576 binary64))))) (.f64 x x))) x)
(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))))) x)
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) x) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x))))))) x)
(/.f64 (.f64 (.f64 x x) (.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal 1/36 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) (+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal 1/144 binary64) x))))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1/13824 binary64))) x) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) (-.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) x) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64))))))))
(/.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) x) (+.f64 (.f64 x (*.f64 x #s(literal 1/576 binary64))) #s(literal 1/36 binary64))) x)
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)))) (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) x))))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x)))) x) (-.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 (/.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64))))) (*.f64 x x)))
(/.f64 (.f64 x (.f64 (/.f64 (.f64 (-.f64 #s(literal 1/1296 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/331776 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal 1/576 binary64))))) (*.f64 x x))) x)
(+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)))) (-.f64 (.f64 x #s(literal 1/6 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)))) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))) #s(literal 1 binary64)) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x)) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x))) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (-.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x)) (*.f64 x #s(literal 1/2 binary64)))))

Outputs

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

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

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

Calls

1 calls:

16.0ms

Results

Accuracy	Segments	Branch
76.5%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes24.0ms (0.2%)

Counts

56 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (*.f64 x x))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/6 binary64)))))
(/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) x)
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(/.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x)))) x)
(/.f64 (.f64 x (.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x x))) x)
(/.f64 (/.f64 x (/.f64 #s(literal 24 binary64) (.f64 x (.f64 x x)))) x)
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
(/.f64 (.f64 x (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x))) x)
(/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/12 binary64)))))) x)
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))) (.f64 #s(literal 1/24 binary64) (.f64 x x)))))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x)))
(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))) x)
(/.f64 (/.f64 x (/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -96 binary64) x)) (.f64 x (.f64 x x)))) x)
(.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64))) (.f64 (/.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) x))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))
(+.f64 #s(literal 1 binary64) (.f64 x (/.f64 #s(literal -1/4 binary64) (-.f64 (.f64 x #s(literal 1/6 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64))))))
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))) x)
(/.f64 (.f64 (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64)))) x) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64))) (.f64 x x)) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))
(.f64 (.f64 x (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) (-.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal 1/576 binary64)))))) x)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) (-.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal 1/576 binary64))))) (.f64 x x))
(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))
(/.f64 x (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))) x))
(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) x)
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x)))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal 1/36 binary64)) (-.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) x) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x))))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) x))
(/.f64 (.f64 x (.f64 (/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64))) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) (.f64 x x))) x)
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x)))))))
(+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/72 binary64)))) (-.f64 (.f64 x #s(literal 1/6 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64))))))
(/.f64 (.f64 x (.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal 1/576 binary64))))) (.f64 x x))) x)
(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))))) x)
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) x) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x))))))) x)
(/.f64 (.f64 (.f64 x x) (.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal 1/36 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) (+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal 1/144 binary64) x))))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1/13824 binary64))) x) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) (-.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) x) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64))))))))
(/.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) x) (+.f64 (.f64 x (*.f64 x #s(literal 1/576 binary64))) #s(literal 1/36 binary64))) x)
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)))) (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) x))))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x)))) x) (-.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 (/.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64))))) (*.f64 x x)))
(/.f64 (.f64 x (.f64 (/.f64 (.f64 (-.f64 #s(literal 1/1296 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/331776 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal 1/576 binary64))))) (*.f64 x x))) x)
(+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)))) (-.f64 (.f64 x #s(literal 1/6 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)))) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))) #s(literal 1 binary64)) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) #s(literal 1 binary64)))

Outputs

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

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

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

Calls

1 calls:

18.0ms

Results

Accuracy	Segments	Branch
76.5%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes47.0ms (0.5%)

Counts

54 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (*.f64 x x))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/6 binary64)))))
(/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) x)
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(/.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x)))) x)
(/.f64 (.f64 x (.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x x))) x)
(/.f64 (/.f64 x (/.f64 #s(literal 24 binary64) (.f64 x (.f64 x x)))) x)
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
(/.f64 (.f64 x (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x))) x)
(/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/12 binary64)))))) x)
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))) (.f64 #s(literal 1/24 binary64) (.f64 x x)))))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x)))
(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))) x)
(/.f64 (/.f64 x (/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -96 binary64) x)) (.f64 x (.f64 x x)))) x)
(.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64))) (.f64 (/.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) x))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))
(+.f64 #s(literal 1 binary64) (.f64 x (/.f64 #s(literal -1/4 binary64) (-.f64 (.f64 x #s(literal 1/6 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64))))))
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))) x)
(/.f64 (.f64 (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64)))) x) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64))) (.f64 x x)) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))
(.f64 (.f64 x (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) (-.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal 1/576 binary64)))))) x)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) (-.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal 1/576 binary64))))) (.f64 x x))
(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))
(/.f64 x (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))) x))
(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) x)
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x)))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal 1/36 binary64)) (-.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) x) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x))))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) x))
(/.f64 (.f64 x (.f64 (/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64))) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) (.f64 x x))) x)
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x)))))))
(+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/72 binary64)))) (-.f64 (.f64 x #s(literal 1/6 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64))))))
(/.f64 (.f64 x (.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal 1/576 binary64))))) (.f64 x x))) x)
(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))))) x)
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) x) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x))))))) x)
(/.f64 (.f64 (.f64 x x) (.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal 1/36 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) (+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal 1/144 binary64) x))))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1/13824 binary64))) x) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) (-.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) x) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64))))))))
(/.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) x) (+.f64 (.f64 x (*.f64 x #s(literal 1/576 binary64))) #s(literal 1/36 binary64))) x)
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)))) (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) x))))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x)))) x) (-.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 (/.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64))))) (*.f64 x x)))
(/.f64 (.f64 x (.f64 (/.f64 (.f64 (-.f64 #s(literal 1/1296 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/331776 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal 1/576 binary64))))) (*.f64 x x))) x)
(+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)))) (-.f64 (.f64 x #s(literal 1/6 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))))

Outputs

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

(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/576 binary64))) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) x) (+.f64 (*.f64 x (*.f64 x #s(literal 1/576 binary64))) #s(literal 1/36 binary64))) x)

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

Calls

1 calls:

42.0ms

Results

Accuracy	Segments	Branch
75.9%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes19.0ms (0.2%)

Counts

48 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (*.f64 x x))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/6 binary64)))))
(/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) x)
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(/.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x)))) x)
(/.f64 (.f64 x (.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x x))) x)
(/.f64 (/.f64 x (/.f64 #s(literal 24 binary64) (.f64 x (.f64 x x)))) x)
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
(/.f64 (.f64 x (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x))) x)
(/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/12 binary64)))))) x)
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))) (.f64 #s(literal 1/24 binary64) (.f64 x x)))))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x)))
(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))) x)
(/.f64 (/.f64 x (/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -96 binary64) x)) (.f64 x (.f64 x x)))) x)
(.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64))) (.f64 (/.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) x))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))
(+.f64 #s(literal 1 binary64) (.f64 x (/.f64 #s(literal -1/4 binary64) (-.f64 (.f64 x #s(literal 1/6 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64))))))
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))) x)
(/.f64 (.f64 (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64)))) x) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64))) (.f64 x x)) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))
(.f64 (.f64 x (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) (-.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal 1/576 binary64)))))) x)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) (-.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal 1/576 binary64))))) (.f64 x x))
(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))
(/.f64 x (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))) x))
(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) x)
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x)))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal 1/36 binary64)) (-.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) x) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x))))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) x))
(/.f64 (.f64 x (.f64 (/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64))) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) (.f64 x x))) x)
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x)))))))
(+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/72 binary64)))) (-.f64 (.f64 x #s(literal 1/6 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64))))))
(/.f64 (.f64 x (.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal 1/576 binary64))))) (.f64 x x))) x)
(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))))) x)
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) x) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x))))))) x)
(/.f64 (.f64 (.f64 x x) (.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal 1/36 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) (+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal 1/144 binary64) x))))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1/13824 binary64))) x) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) (-.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) x) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64))))))))

Outputs

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

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

Calls

1 calls:

16.0ms

Results

Accuracy	Segments	Branch
73.5%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes10.0ms (0.1%)

Counts

26 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (*.f64 x x))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/6 binary64)))))
(/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) x)
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(/.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x)))) x)
(/.f64 (.f64 x (.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x x))) x)
(/.f64 (/.f64 x (/.f64 #s(literal 24 binary64) (.f64 x (.f64 x x)))) x)
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
(/.f64 (.f64 x (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x))) x)
(/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/12 binary64)))))) x)
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))) (.f64 #s(literal 1/24 binary64) (.f64 x x)))))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x)))
(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))) x)
(/.f64 (/.f64 x (/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -96 binary64) x)) (.f64 x (.f64 x x)))) x)
(.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64))) (.f64 (/.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) x))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))
(+.f64 #s(literal 1 binary64) (.f64 x (/.f64 #s(literal -1/4 binary64) (-.f64 (.f64 x #s(literal 1/6 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64))))))

Outputs

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

(/.f64 (/.f64 x (/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -96 binary64) x)) (*.f64 x (*.f64 x x)))) x)

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
72.9%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes8.0ms (0.1%)

Counts

22 → 2

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
72.9%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes8.0ms (0.1%)

Counts

17 → 2

Calls

Call 1

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

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
72.9%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

Counts

14 → 2

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
72.9%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes24.0ms (0.2%)

Counts

13 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

24.0ms

Results

Accuracy	Segments	Branch
72.2%	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 1/2 binary64) x)
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (*.f64 x x))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/6 binary64)))))
(/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) x)

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
72.2%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

Counts

11 → 2

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
68.8%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
67.1%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts

9 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
68.1%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes8.0ms (0.1%)

Counts

8 → 2

Calls

Call 1

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
68.1%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
65.5%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total -30.6b remaining (-97.3%)

Threshold costs -30.6b (-97.3%)

Counts

2 → 1

Calls

Call 1

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

Outputs
#s(literal 1 binary64)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
50.9%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch6.0ms (0.1%)

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	predicate-same

Steps

Time	Left	Right
3.0ms	3.0723349567209375e+74	2.5307163203035444e+85
2.0ms	5.1495212523860225e-18	1.111484157604271e-16

Results

2.0ms	16×	1	valid
1.0ms	32×	0	valid

Compiler

Compiled 201 to 80 computations (60.2% saved)

Precisions

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

ival-exp: 1.0ms (60.8% of total)

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

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

const: 0.0ms (0% of total)

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

bsearch21.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
5.0ms	2.7166093605503815e+95	2.927636597003273e+106
13.0ms	-39643446.35059903	-0.49461092339813195

Results

11.0ms

208×

valid

Compiler

Compiled 731 to 351 computations (52% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-sub: 2.0ms (33.1% of total)

ival-div: 2.0ms (33.1% of total)

ival-exp: 2.0ms (33.1% of total)

const: 0.0ms (0% of total)

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

bsearch21.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
7.0ms	2.7166093605503815e+95	2.927636597003273e+106
12.0ms	-39643446.35059903	-0.49461092339813195

Results

12.0ms

208×

valid

Compiler

Compiled 705 to 338 computations (52.1% saved)

Precisions

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

ival-div: 2.0ms (39.5% of total)

ival-exp: 2.0ms (39.5% of total)

ival-sub: 1.0ms (19.8% of total)

const: 0.0ms (0% of total)

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

bsearch20.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
5.0ms	2.7166093605503815e+95	2.927636597003273e+106
13.0ms	-39643446.35059903	-0.49461092339813195

Results

10.0ms

208×

valid

Compiler

Compiled 679 to 325 computations (52.1% saved)

Precisions

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

ival-div: 2.0ms (38.6% of total)

ival-exp: 2.0ms (38.6% of total)

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

const: 0.0ms (0% of total)

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

bsearch16.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
2.0ms	1.2159823813032677e+148	5.556091681357555e+157
12.0ms	0.019585056554983014	118.66005651337666

Results

8.0ms

160×

valid

Compiler

Compiled 423 to 252 computations (40.4% saved)

Precisions

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

ival-exp: 2.0ms (51.5% of total)

ival-sub: 1.0ms (25.7% of total)

ival-div: 1.0ms (25.7% of total)

const: 0.0ms (0% of total)

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

bsearch14.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	-39643446.35059903	-0.49461092339813195

Results

7.0ms

144×

valid

Compiler

Compiled 281 to 206 computations (26.7% saved)

Precisions

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

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

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

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

const: 0.0ms (0% of total)

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

bsearch14.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	0.019585056554983014	118.66005651337666

Results

6.0ms

128×

valid

Compiler

Compiled 235 to 160 computations (31.9% saved)

Precisions

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

ival-sub: 1.0ms (31.4% of total)

ival-div: 1.0ms (31.4% of total)

ival-exp: 1.0ms (31.4% 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	0.019585056554983014	118.66005651337666

Results

6.0ms

128×

valid

Compiler

Compiled 219 to 152 computations (30.6% saved)

Precisions

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

ival-sub: 1.0ms (31.4% of total)

ival-div: 1.0ms (31.4% of total)

ival-exp: 1.0ms (31.4% of total)

const: 0.0ms (0% of total)

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

bsearch37.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
36.0ms	0.019585056554983014	118.66005651337666

Results

32.0ms

128×

valid

Compiler

Compiled 203 to 136 computations (33% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-div: 27.0ms (92.5% of total)

ival-sub: 1.0ms (3.4% of total)

ival-exp: 1.0ms (3.4% 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	0.019585056554983014	118.66005651337666

Results

6.0ms

128×

valid

Compiler

Compiled 203 to 136 computations (33% saved)

Precisions

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

ival-sub: 1.0ms (30.5% of total)

ival-div: 1.0ms (30.5% of total)

ival-exp: 1.0ms (30.5% of total)

const: 0.0ms (0% of total)

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

bsearch27.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
26.0ms	0.019585056554983014	118.66005651337666

Results

6.0ms

128×

valid

Compiler

Compiled 203 to 152 computations (25.1% saved)

Precisions

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

ival-sub: 1.0ms (31.8% of total)

ival-div: 1.0ms (31.8% of total)

ival-exp: 1.0ms (31.8% of total)

const: 0.0ms (0% of total)

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

bsearch30.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
29.0ms	0.019585056554983014	118.66005651337666

Results

24.0ms

128×

valid

Compiler

Compiled 187 to 136 computations (27.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-exp: 19.0ms (89.4% of total)

ival-sub: 1.0ms (4.7% of total)

ival-div: 1.0ms (4.7% 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	0.019585056554983014	118.66005651337666

Results

6.0ms

128×

valid

Compiler

Compiled 187 to 144 computations (23% saved)

Precisions

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

ival-sub: 1.0ms (32.5% of total)

ival-div: 1.0ms (32.5% of total)

ival-exp: 1.0ms (32.5% 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	0.019585056554983014	118.66005651337666

Results

8.0ms

128×

valid

Compiler

Compiled 123 to 96 computations (22% saved)

Precisions

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

ival-div: 3.0ms (62.5% of total)

ival-sub: 1.0ms (20.8% of total)

ival-exp: 1.0ms (20.8% 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
11.0ms	0.019585056554983014	118.66005651337666

Results

7.0ms

128×

valid

Compiler

Compiled 107 to 80 computations (25.2% saved)

Precisions

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

ival-exp: 2.0ms (46% of total)

ival-sub: 1.0ms (23% of total)

ival-div: 1.0ms (23% 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
11.0ms	0.019585056554983014	118.66005651337666

Results

7.0ms

128×

valid

Compiler

Compiled 91 to 72 computations (20.9% saved)

Precisions

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

ival-sub: 1.0ms (30.5% of total)

ival-div: 1.0ms (30.5% of total)

ival-exp: 1.0ms (30.5% of total)

const: 0.0ms (0% of total)

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

simplify71.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

90×	`*-commutative_binary64`
66×	`+-commutative_binary64`
48×	`sub-neg_binary64`
34×	`neg-sub0_binary64`
34×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	124	573
1	192	573
2	245	573
3	282	573
4	305	573
5	322	573
6	329	573
7	333	573
8	334	573

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (expm1.f64 x) x)
(if (<=.f64 x #s(literal 6490371073168535/649037107316853453566312041152512 binary64)) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))) x) (if (<=.f64 x #s(literal 499999999999999963269890588240599461754401607599733943631323209890181152768 binary64)) (/.f64 (/.f64 (-.f64 (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x))) (.f64 x x)) (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)) x)) x) (/.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (*.f64 x x)))) x)))
(if (<=.f64 x #s(literal -3/2 binary64)) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))) x) (if (<=.f64 x #s(literal 3999999999999999908198053060981346513787370879696600024519983898927973808723159645213045177926046187520 binary64)) (/.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)))) x) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))) x) (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))))
(if (<=.f64 x #s(literal -3/2 binary64)) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))) x) (if (<=.f64 x #s(literal 3999999999999999908198053060981346513787370879696600024519983898927973808723159645213045177926046187520 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x)) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x))) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (-.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x)) (.f64 x #s(literal 1/2 binary64))))) (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))))
(if (<=.f64 x #s(literal -3/2 binary64)) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))) x) (if (<=.f64 x #s(literal 3999999999999999908198053060981346513787370879696600024519983898927973808723159645213045177926046187520 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)))) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))) (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x x)))))
(if (<=.f64 x #s(literal 7926335344172073/4503599627370496 binary64)) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))) x) (if (<=.f64 x #s(literal 999999999999999999733403004123153744855539019118436686285840188024369679522423761672919759564567158443669378824028710020392594094129030220133015859757056 binary64)) (/.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) x) (+.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal 1/36 binary64))) x) (.f64 #s(literal 1/6 binary64) (.f64 x x))))
(if (<=.f64 x #s(literal -3/2 binary64)) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))) x) (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) x))
(if (<=.f64 x #s(literal 2 binary64)) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))) x) (/.f64 (/.f64 x (/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -96 binary64) x)) (.f64 x (*.f64 x x)))) x))
(if (<=.f64 x #s(literal 7926335344172073/4503599627370496 binary64)) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))) x) (/.f64 (.f64 x (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (*.f64 x x))) x))
(if (<=.f64 x #s(literal 4278419646001971/2251799813685248 binary64)) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))) x) (/.f64 (.f64 x (.f64 (.f64 x #s(literal 1/24 binary64)) (*.f64 x x))) x))
(if (<=.f64 x #s(literal 4278419646001971/2251799813685248 binary64)) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))) x) (/.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (*.f64 x x)))) x))
(if (<=.f64 x #s(literal 6980579422424269/4503599627370496 binary64)) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))) x) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))
(if (<=.f64 x #s(literal 7926335344172073/4503599627370496 binary64)) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))) x) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x)))
(if (<=.f64 x #s(literal 4728779608739021/1125899906842624 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/6 binary64))))) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(if (<=.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (*.f64 x x)))
(if (<=.f64 x #s(literal 6530219459687219/2251799813685248 binary64)) #s(literal 1 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x))))
(if (<=.f64 x #s(literal 5404319552844595/2251799813685248 binary64)) #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
#s(literal 1 binary64)

Outputs
(/.f64 (expm1.f64 x) x)
(if (<=.f64 x #s(literal 6490371073168535/649037107316853453566312041152512 binary64)) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))) x) (if (<=.f64 x #s(literal 499999999999999963269890588240599461754401607599733943631323209890181152768 binary64)) (/.f64 (/.f64 (-.f64 (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x))) (.f64 x x)) (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)) x)) x) (/.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (*.f64 x x)))) x)))
(if (<=.f64 x #s(literal -3/2 binary64)) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))) x) (if (<=.f64 x #s(literal 3999999999999999908198053060981346513787370879696600024519983898927973808723159645213045177926046187520 binary64)) (/.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)))) x) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))) x) (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))))
(if (<=.f64 x #s(literal -3/2 binary64)) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))) x) (if (<=.f64 x #s(literal 3999999999999999908198053060981346513787370879696600024519983898927973808723159645213045177926046187520 binary64)) (/.f64 (/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x))))) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))) x) (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))))
(if (<=.f64 x #s(literal -3/2 binary64)) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))) x) (if (<=.f64 x #s(literal 3999999999999999908198053060981346513787370879696600024519983898927973808723159645213045177926046187520 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x)) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x))) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (-.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x)) (.f64 x #s(literal 1/2 binary64))))) (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))))
(if (<=.f64 x #s(literal -3/2 binary64)) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))) x) (if (<=.f64 x #s(literal 3999999999999999908198053060981346513787370879696600024519983898927973808723159645213045177926046187520 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x)) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x))) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (-.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x)) (.f64 x #s(literal 1/2 binary64))))) (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))))
(if (<=.f64 x #s(literal -3/2 binary64)) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))) x) (if (<=.f64 x #s(literal 3999999999999999908198053060981346513787370879696600024519983898927973808723159645213045177926046187520 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)))) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))) (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x x)))))
(if (<=.f64 x #s(literal 7926335344172073/4503599627370496 binary64)) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))) x) (if (<=.f64 x #s(literal 999999999999999999733403004123153744855539019118436686285840188024369679522423761672919759564567158443669378824028710020392594094129030220133015859757056 binary64)) (/.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) x) (+.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal 1/36 binary64))) x) (.f64 #s(literal 1/6 binary64) (.f64 x x))))
(if (<=.f64 x #s(literal 7926335344172073/4503599627370496 binary64)) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))) x) (if (<=.f64 x #s(literal 999999999999999999733403004123153744855539019118436686285840188024369679522423761672919759564567158443669378824028710020392594094129030220133015859757056 binary64)) (/.f64 (/.f64 (.f64 x (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (+.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal 1/36 binary64))))) (+.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal 1/36 binary64))) x) (.f64 #s(literal 1/6 binary64) (.f64 x x))))
(if (<=.f64 x #s(literal -3/2 binary64)) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))) x) (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) x))
(if (<=.f64 x #s(literal 2 binary64)) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))) x) (/.f64 (/.f64 x (/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -96 binary64) x)) (.f64 x (*.f64 x x)))) x))
(if (<=.f64 x #s(literal 7926335344172073/4503599627370496 binary64)) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))) x) (/.f64 (.f64 x (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (*.f64 x x))) x))
(if (<=.f64 x #s(literal 4278419646001971/2251799813685248 binary64)) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))) x) (/.f64 (.f64 x (.f64 (.f64 x #s(literal 1/24 binary64)) (*.f64 x x))) x))
(if (<=.f64 x #s(literal 4278419646001971/2251799813685248 binary64)) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))) x) (/.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (*.f64 x x)))) x))
(if (<=.f64 x #s(literal 6980579422424269/4503599627370496 binary64)) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))) x) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))
(if (<=.f64 x #s(literal 7926335344172073/4503599627370496 binary64)) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))) x) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x)))
(if (<=.f64 x #s(literal 4728779608739021/1125899906842624 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/6 binary64))))) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(if (<=.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (*.f64 x x)))
(if (<=.f64 x #s(literal 6530219459687219/2251799813685248 binary64)) #s(literal 1 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x))))
(if (<=.f64 x #s(literal 5404319552844595/2251799813685248 binary64)) #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
#s(literal 1 binary64)

soundness2.8s (27.3%)

Rules

3756×	`-lowering-.f32`
3756×	`-lowering-.f64`
3742×	`/-lowering-/.f32`
3742×	`/-lowering-/.f64`
3496×	`sum4-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	116
1	135	99
2	1218	88
0	8321	88
0	44	315
1	316	215
2	3038	207
0	8426	207
0	41	314
1	301	186
2	2721	176
0	8424	176
0	79	1080
1	284	928
2	890	878
3	2873	870
4	7478	870
0	8193	870
0	5	4
1	14	4
2	18	4
3	24	4
4	35	4
5	49	4
6	86	4
7	160	4
8	285	4
9	512	4
10	925	4
11	1806	4
12	2152	4
13	2670	4
14	2695	4
15	2714	4
16	2722	4
0	2722	4
0	23	110
1	76	98
2	197	98
3	482	98
4	1007	98
5	1453	98
6	1654	98
7	1738	98
8	1856	98
9	2730	98
10	6192	98
11	7279	98
12	7606	98
13	7756	98
14	7869	98
0	9501	98
0	104	2109
1	343	1974
2	1035	1872
3	3135	1717
0	8434	1717
0	171	2106
1	571	1885
2	1759	1842
3	5733	1829
0	8250	1829

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×	saturated
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 1697 to 905 computations (46.7% saved)

preprocess159.0ms (1.6%)

Compiler: Compiled 1208 to 282 computations (76.7% saved)

Iter	Nodes	Cost
0	124	573
1	192	573
2	245	573
3	282	573
4	305	573
5	322	573
6	329	573
7	333	573
8	334	573

Iter	Nodes	Cost
0	124	573
1	192	573
2	245	573
3	282	573
4	305	573
5	322	573
6	329	573
7	333	573
8	334	573

analyze2.0ms (0%)

sample998.0ms (9.7%)

preprocess94.0ms (0.9%)

explain95.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify52.0ms (0.5%)

localize34.0ms (0.3%)

series2.0ms (0%)

rewrite315.0ms (3.1%)

simplify223.0ms (2.2%)

eval49.0ms (0.5%)

prune52.0ms (0.5%)

simplify212.0ms (2.1%)

localize217.0ms (2.1%)

series9.0ms (0.1%)

rewrite385.0ms (3.8%)

simplify206.0ms (2%)

eval142.0ms (1.4%)

prune163.0ms (1.6%)

simplify202.0ms (2%)

localize263.0ms (2.6%)

series14.0ms (0.1%)

rewrite400.0ms (3.9%)

simplify192.0ms (1.9%)

eval438.0ms (4.3%)

prune142.0ms (1.4%)

simplify256.0ms (2.5%)

localize256.0ms (2.5%)

series15.0ms (0.1%)

rewrite427.0ms (4.2%)

simplify233.0ms (2.3%)

eval251.0ms (2.5%)

prune293.0ms (2.9%)

regimes49.0ms (0.5%)

regimes26.0ms (0.3%)

regimes25.0ms (0.2%)

regimes22.0ms (0.2%)

regimes24.0ms (0.2%)

regimes47.0ms (0.5%)

regimes19.0ms (0.2%)

regimes10.0ms (0.1%)

regimes8.0ms (0.1%)

regimes8.0ms (0.1%)

regimes5.0ms (0.1%)

regimes24.0ms (0.2%)

regimes5.0ms (0.1%)

regimes5.0ms (0%)

regimes4.0ms (0%)

regimes4.0ms (0%)

regimes8.0ms (0.1%)

regimes3.0ms (0%)

regimes2.0ms (0%)

bsearch6.0ms (0.1%)

bsearch21.0ms (0.2%)

bsearch21.0ms (0.2%)

bsearch20.0ms (0.2%)

bsearch16.0ms (0.2%)

bsearch14.0ms (0.1%)

bsearch14.0ms (0.1%)

bsearch12.0ms (0.1%)

bsearch37.0ms (0.4%)

bsearch11.0ms (0.1%)

bsearch27.0ms (0.3%)

bsearch30.0ms (0.3%)

bsearch11.0ms (0.1%)

bsearch13.0ms (0.1%)

bsearch13.0ms (0.1%)

bsearch13.0ms (0.1%)

simplify71.0ms (0.7%)

soundness2.8s (27.3%)

preprocess159.0ms (1.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	124	573
1	192	573
2	245	573
3	282	573
4	305	573
5	322	573
6	329	573
7	333	573
8	334	573