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)

sample1.2s (11.1%)

Results

749.0ms	4042×	1	valid
222.0ms	4214×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 731.0ms

ival-exp: 379.0ms (51.8% of total)

ival-div: 133.0ms (18.2% of total)

ival-sub: 120.0ms (16.4% of total)

backward-pass: 84.0ms (11.5% of total)

const: 14.0ms (1.9% of total)

Bogosity

preprocess101.0ms (1%)

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)

explain86.0ms (0.8%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
116	-	-	`(-.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

41.0ms	230×	1	valid
17.0ms	282×	0	valid

Compiler

Compiled 39 to 17 computations (56.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-exp: 18.0ms (55.8% of total)

ival-div: 6.0ms (18.6% of total)

ival-sub: 5.0ms (15.5% of total)

backward-pass: 3.0ms (9.3% of total)

const: 1.0ms (3.1% of total)

eval0.0ms (0%)

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

prune2.0ms (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

20.0ms	116×	1	valid
7.0ms	140×	0	valid

Compiler

Compiled 9 to 4 computations (55.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

compiled-spec: 15.0ms (46.6% of total)

ival-exp: 9.0ms (27.9% of total)

ival-div: 3.0ms (9.3% of total)

ival-sub: 2.0ms (6.2% of total)

backward-pass: 2.0ms (6.2% 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)

rewrite365.0ms (3.5%)

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))))))

simplify265.0ms (2.5%)

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

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	427	5	432
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	427	6	433

Accuracy

100.0%

Counts

433 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.6%	(/.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)
▶	60.9%	(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/6 binary64)))))
▶	64.5%	(+.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)))))))
▶	47.4%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
▶	47.5%	#s(literal 1 binary64)

Compiler

Compiled 105 to 81 computations (22.9% saved)

simplify281.0ms (2.7%)

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)

localize132.0ms (1.3%)

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	99.6%	(.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	99.6%	(.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	93.9%	(/.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

78.0ms	255×	0	valid
1.0ms	1×	2	valid

Compiler

Compiled 180 to 21 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-mult: 14.0ms (37.5% of total)

...c/correct-round.rkt:119:19: 12.0ms (32.2% of total)

ival-add: 6.0ms (16.1% of total)

ival-div: 3.0ms (8% of total)

const: 1.0ms (2.7% of total)

ival-sub: 1.0ms (2.7% of total)

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

series11.0ms (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 (- 1/2 (* x -1/6)))
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)

rewrite366.0ms (3.5%)

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 #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 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x)) (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) x)))
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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)))
(+.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 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x))) (/.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x))))
(-.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)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.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 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)))))
(/.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 (-.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)))))
(/.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 #s(literal -1/24 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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(.f64 (-.f64 #s(literal 0 binary64) (+.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 0 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 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 #s(literal -1/24 binary64) x)))))
(.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64))))

simplify204.0ms (1.9%)

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)))

eval155.0ms (1.5%)

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

prune255.0ms (2.4%)

Pruning

42 alts after pruning (37 fresh and 5 done)

	Pruned	Kept	Total
New	1059	37	1096
Fresh	0	0	0
Picked	1	4	5
Done	0	1	1
Total	1060	42	1102

Accuracy

100.0%

Counts

1102 → 42

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.1%	(/.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)
▶	66.6%	(/.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)
	51.4%	(/.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 (+.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 #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))))
	51.4%	(/.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))))))))
	47.0%	(/.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)))))
	47.3%	(/.f64 (.f64 (-.f64 #s(literal 1 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 (+.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))))) #s(literal 1 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)))))))))
▶	22.8%	(/.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x (.f64 x x))) x)
	46.3%	(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.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))))))))))) x)
	66.1%	(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64)))))) x)
	22.5%	(/.f64 (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x x)))) x)
	22.5%	(/.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x)))) x)
✓	100.0%	(/.f64 (expm1.f64 x) x)
	64.5%	(/.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))
	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)))))))
▶	49.8%	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (+.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 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x))))) x) (+.f64 #s(literal 1/4 binary64) (.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)))) #s(literal -1/2 binary64))))))
	64.5%	(+.f64 #s(literal 1 binary64) (/.f64 x (/.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))))))))
	55.4%	(+.f64 #s(literal 1 binary64) (/.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 1/4 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))))
	22.0%	(+.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (+.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 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x)))) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (-.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 #s(literal 1/2 binary64)) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (*.f64 x x))))))))
	49.0%	(+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (+.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 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x))))) (+.f64 (.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))) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))
✓	60.9%	(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/6 binary64)))))
	64.5%	(+.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)))))
	24.8%	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) (.f64 x (.f64 x x))) (.f64 #s(literal 1/216 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) (*.f64 x #s(literal 1/6 binary64)))))))))
▶	52.8%	(+.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))))))))
	64.5%	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))
	64.5%	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x)) (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (*.f64 x x) #s(literal 1/576 binary64))) x))))))
	52.8%	(+.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 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)))))))))
	64.5%	(+.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)))))))
	50.7%	(+.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 #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)))))))))
	46.3%	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.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))))))))))
	46.3%	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.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))))))))
	50.7%	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.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)))))))))
	64.5%	(+.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)))))))))
✓	64.5%	(+.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)))))))
	49.0%	(+.f64 #s(literal 1 binary64) (.f64 x (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (+.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 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.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)))) #s(literal -1/2 binary64))))))))
	64.0%	(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
✓	47.4%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
	20.7%	(.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (*.f64 x x))
	20.6%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
▶	3.7%	(*.f64 #s(literal 1/2 binary64) x)
	17.2%	(.f64 #s(literal 1/6 binary64) (.f64 x x))
	20.4%	(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
✓	47.5%	#s(literal 1 binary64)

Compiler

Compiled 2421 to 1209 computations (50.1% saved)

simplify186.0ms (1.8%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (+.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 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x)))))
✓	cost-diff	0	(.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (+.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 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (*.f64 x x))))) x)
✓	cost-diff	0	(/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (+.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 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x))))) x) (+.f64 #s(literal 1/4 binary64) (.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)))) #s(literal -1/2 binary64)))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (+.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 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x))))) x) (+.f64 #s(literal 1/4 binary64) (.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)))) #s(literal -1/2 binary64))))))
✓	cost-diff	128	(/.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)))))
✓	cost-diff	128	(+.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))))))
✓	cost-diff	128	(.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)))))))
✓	cost-diff	128	(+.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))))))))
✓	cost-diff	0	(*.f64 x #s(literal 1/24 binary64))
✓	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 (.f64 x x)))
✓	cost-diff	256	(/.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x (.f64 x x))) x)
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) 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

2640×	`+-lowering-+.f64`
2640×	`+-lowering-+.f32`
2360×	`-lowering-.f32`
2360×	`-lowering-.f64`
1906×	`fma-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	46	562
1	132	480
2	510	416
3	2278	406
0	8607	406

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
(* 1/2 x)
1/2
x
(/ (* (+ 1/6 (* x 1/24)) (* x (* x x))) x)
(* (+ 1/6 (* x 1/24)) (* x (* x x)))
(+ 1/6 (* x 1/24))
1/6
(* x 1/24)
x
1/24
(* x (* x x))
(* x x)
(+ 1 (* x (+ 1/2 (/ (* (+ 1/216 (* (* x (* x x)) 1/13824)) x) (+ 1/36 (* (* x 1/24) (+ (* x 1/24) -1/6)))))))
1
(* x (+ 1/2 (/ (* (+ 1/216 (* (* x (* x x)) 1/13824)) x) (+ 1/36 (* (* x 1/24) (+ (* x 1/24) -1/6))))))
x
(+ 1/2 (/ (* (+ 1/216 (* (* x (* x x)) 1/13824)) x) (+ 1/36 (* (* x 1/24) (+ (* x 1/24) -1/6)))))
1/2
(/ (* (+ 1/216 (* (* x (* x x)) 1/13824)) x) (+ 1/36 (* (* x 1/24) (+ (* x 1/24) -1/6))))
(* (+ 1/216 (* (* x (* x x)) 1/13824)) x)
(+ 1/216 (* (* x (* x x)) 1/13824))
1/216
(* (* x (* x x)) 1/13824)
(* x (* x x))
(* x x)
1/13824
(+ 1/36 (* (* x 1/24) (+ (* x 1/24) -1/6)))
1/36
(* (* x 1/24) (+ (* x 1/24) -1/6))
(* x 1/24)
1/24
(+ (* x 1/24) -1/6)
-1/6
(+ 1 (/ (* (+ 1/8 (* (* x (+ 1/6 (* x 1/24))) (* (+ 1/6 (* x 1/24)) (* (+ 1/6 (* x 1/24)) (* x x))))) x) (+ 1/4 (* (* x (+ 1/6 (* x 1/24))) (+ (* x (+ 1/6 (* x 1/24))) -1/2)))))
1
(/ (* (+ 1/8 (* (* x (+ 1/6 (* x 1/24))) (* (+ 1/6 (* x 1/24)) (* (+ 1/6 (* x 1/24)) (* x x))))) x) (+ 1/4 (* (* x (+ 1/6 (* x 1/24))) (+ (* x (+ 1/6 (* x 1/24))) -1/2))))
(* (+ 1/8 (* (* x (+ 1/6 (* x 1/24))) (* (+ 1/6 (* x 1/24)) (* (+ 1/6 (* x 1/24)) (* x x))))) x)
(+ 1/8 (* (* x (+ 1/6 (* x 1/24))) (* (+ 1/6 (* x 1/24)) (* (+ 1/6 (* x 1/24)) (* x x)))))
1/8
(* (* x (+ 1/6 (* x 1/24))) (* (+ 1/6 (* x 1/24)) (* (+ 1/6 (* x 1/24)) (* x x))))
(* x (+ 1/6 (* x 1/24)))
x
(+ 1/6 (* x 1/24))
1/6
(* x 1/24)
1/24
(* (+ 1/6 (* x 1/24)) (* (+ 1/6 (* x 1/24)) (* x x)))
(* (+ 1/6 (* x 1/24)) (* x x))
(* x x)
(+ 1/4 (* (* x (+ 1/6 (* x 1/24))) (+ (* x (+ 1/6 (* x 1/24))) -1/2)))
1/4
(* (* x (+ 1/6 (* x 1/24))) (+ (* x (+ 1/6 (* x 1/24))) -1/2))
(+ (* x (+ 1/6 (* x 1/24))) -1/2)
-1/2

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)
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
x
(/ (* (+ 1/6 (* x 1/24)) (* x (* x x))) x)
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(* (+ 1/6 (* x 1/24)) (* x (* x x)))
(.f64 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))
x
1/24
#s(literal 1/24 binary64)
(* x (* x x))
(.f64 x (.f64 x x))
(* x x)
(*.f64 x x)
(+ 1 (* x (+ 1/2 (/ (* (+ 1/216 (* (* x (* x x)) 1/13824)) x) (+ 1/36 (* (* x 1/24) (+ (* x 1/24) -1/6)))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)))) (+.f64 #s(literal 1/36 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/144 binary64))))))))
1
#s(literal 1 binary64)
(* x (+ 1/2 (/ (* (+ 1/216 (* (* x (* x x)) 1/13824)) x) (+ 1/36 (* (* x 1/24) (+ (* x 1/24) -1/6))))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)))) (+.f64 #s(literal 1/36 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/144 binary64)))))))
x
(+ 1/2 (/ (* (+ 1/216 (* (* x (* x x)) 1/13824)) x) (+ 1/36 (* (* x 1/24) (+ (* x 1/24) -1/6)))))
(+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)))) (+.f64 #s(literal 1/36 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/576 binary64)) #s(literal -1/144 binary64))))))
1/2
#s(literal 1/2 binary64)
(/ (* (+ 1/216 (* (* x (* x x)) 1/13824)) x) (+ 1/36 (* (* x 1/24) (+ (* x 1/24) -1/6))))
(/.f64 (.f64 x (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)))) (+.f64 #s(literal 1/36 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/576 binary64)) #s(literal -1/144 binary64)))))
(* (+ 1/216 (* (* x (* x x)) 1/13824)) x)
(.f64 x (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))))
(+ 1/216 (* (* x (* x x)) 1/13824))
(+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)))
1/216
#s(literal 1/216 binary64)
(* (* x (* x x)) 1/13824)
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))
(* x (* x x))
(.f64 x (.f64 x x))
(* x x)
(*.f64 x x)
1/13824
#s(literal 1/13824 binary64)
(+ 1/36 (* (* x 1/24) (+ (* x 1/24) -1/6)))
(+.f64 #s(literal 1/36 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/576 binary64)) #s(literal -1/144 binary64))))
1/36
#s(literal 1/36 binary64)
(* (* x 1/24) (+ (* x 1/24) -1/6))
(.f64 x (+.f64 (.f64 x #s(literal 1/576 binary64)) #s(literal -1/144 binary64)))
(* x 1/24)
(*.f64 x #s(literal 1/24 binary64))
1/24
#s(literal 1/24 binary64)
(+ (* x 1/24) -1/6)
(+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64))
-1/6
#s(literal -1/6 binary64)
(+ 1 (/ (* (+ 1/8 (* (* x (+ 1/6 (* x 1/24))) (* (+ 1/6 (* x 1/24)) (* (+ 1/6 (* x 1/24)) (* x x))))) x) (+ 1/4 (* (* x (+ 1/6 (* x 1/24))) (+ (* x (+ 1/6 (* x 1/24))) -1/2)))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 (.f64 x (.f64 x (+.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 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))) (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 (+.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)))) #s(literal -1/2 binary64)))))))
1
#s(literal 1 binary64)
(/ (* (+ 1/8 (* (* x (+ 1/6 (* x 1/24))) (* (+ 1/6 (* x 1/24)) (* (+ 1/6 (* x 1/24)) (* x x))))) x) (+ 1/4 (* (* x (+ 1/6 (* x 1/24))) (+ (* x (+ 1/6 (* x 1/24))) -1/2))))
(/.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 (.f64 x (.f64 x (+.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 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))) (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 (+.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)))) #s(literal -1/2 binary64))))))
(* (+ 1/8 (* (* x (+ 1/6 (* x 1/24))) (* (+ 1/6 (* x 1/24)) (* (+ 1/6 (* x 1/24)) (* x x))))) x)
(.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 (.f64 x (.f64 x (+.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 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))
(+ 1/8 (* (* x (+ 1/6 (* x 1/24))) (* (+ 1/6 (* x 1/24)) (* (+ 1/6 (* x 1/24)) (* x x)))))
(+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 (.f64 x (.f64 x (+.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 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))
1/8
#s(literal 1/8 binary64)
(* (* x (+ 1/6 (* x 1/24))) (* (+ 1/6 (* x 1/24)) (* (+ 1/6 (* x 1/24)) (* x x))))
(.f64 x (.f64 (.f64 x (.f64 x (+.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 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))
(* x (+ 1/6 (* x 1/24)))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))
x
(+ 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 1/24)) (* (+ 1/6 (* x 1/24)) (* x x)))
(.f64 x (.f64 x (.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))))))
(* (+ 1/6 (* x 1/24)) (* x x))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(* x x)
(*.f64 x x)
(+ 1/4 (* (* x (+ 1/6 (* x 1/24))) (+ (* x (+ 1/6 (* x 1/24))) -1/2)))
(+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 (+.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)))) #s(literal -1/2 binary64)))))
1/4
#s(literal 1/4 binary64)
(* (* x (+ 1/6 (* x 1/24))) (+ (* x (+ 1/6 (* x 1/24))) -1/2))
(.f64 x (.f64 (+.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)))) #s(literal -1/2 binary64))))
(+ (* x (+ 1/6 (* x 1/24))) -1/2)
(+.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)

localize258.0ms (2.5%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.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)))
✓	accuracy	99.6%	(.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	58.8%	(/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (+.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 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x))))) x) (+.f64 #s(literal 1/4 binary64) (.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)))) #s(literal -1/2 binary64)))))
✓	accuracy	99.7%	(.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) x)
✓	accuracy	99.5%	(*.f64 x #s(literal 1/24 binary64))
✓	accuracy	99.5%	(.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)))
✓	accuracy	66.6%	(/.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)))))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.9%	(.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x (.f64 x x)))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/24 binary64))
✓	accuracy	87.0%	(/.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x (.f64 x x))) x)
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) x)
✓	accuracy	99.6%	(.f64 x (+.f64 #s(literal 1/6 binary64) (.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	99.5%	(*.f64 x #s(literal 1/24 binary64))
✓	accuracy	93.9%	(/.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

167.0ms	254×	0	valid
3.0ms	1×	5	exit
2.0ms	1×	2	valid

Compiler

Compiled 594 to 47 computations (92.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 93.0ms

ival-mult: 32.0ms (34.5% of total)

...c/correct-round.rkt:119:19: 29.0ms (31.2% of total)

ival-add: 19.0ms (20.5% of total)

ival-div: 10.0ms (10.8% of total)

const: 1.0ms (1.1% of total)

backward-pass: 1.0ms (1.1% of total)

series18.0ms (0.2%)

Counts

22 → 264

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 (* 1/2 x)>
#<alt (/ (* (+ 1/6 (* x 1/24)) (* x (* x x))) x)>
#<alt (* (+ 1/6 (* x 1/24)) (* x (* x x)))>
#<alt (+ 1/6 (* x 1/24))>
#<alt (* x 1/24)>
#<alt (+ 1 (* x (+ 1/2 (/ (* (+ 1/216 (* (* x (* x x)) 1/13824)) x) (+ 1/36 (* (* x 1/24) (+ (* x 1/24) -1/6)))))))>
#<alt (* x (+ 1/2 (/ (* (+ 1/216 (* (* x (* x x)) 1/13824)) x) (+ 1/36 (* (* x 1/24) (+ (* x 1/24) -1/6))))))>
#<alt (+ 1/2 (/ (* (+ 1/216 (* (* x (* x x)) 1/13824)) x) (+ 1/36 (* (* x 1/24) (+ (* x 1/24) -1/6)))))>
#<alt (/ (* (+ 1/216 (* (* x (* x x)) 1/13824)) x) (+ 1/36 (* (* x 1/24) (+ (* x 1/24) -1/6))))>
#<alt (+ 1 (/ (* (+ 1/8 (* (* x (+ 1/6 (* x 1/24))) (* (+ 1/6 (* x 1/24)) (* (+ 1/6 (* x 1/24)) (* x x))))) x) (+ 1/4 (* (* x (+ 1/6 (* x 1/24))) (+ (* x (+ 1/6 (* x 1/24))) -1/2)))))>
#<alt (/ (* (+ 1/8 (* (* x (+ 1/6 (* x 1/24))) (* (+ 1/6 (* x 1/24)) (* (+ 1/6 (* x 1/24)) (* x x))))) x) (+ 1/4 (* (* x (+ 1/6 (* x 1/24))) (+ (* x (+ 1/6 (* x 1/24))) -1/2))))>
#<alt (* (+ 1/8 (* (* x (+ 1/6 (* x 1/24))) (* (+ 1/6 (* x 1/24)) (* (+ 1/6 (* x 1/24)) (* x x))))) x)>
#<alt (+ 1/8 (* (* x (+ 1/6 (* x 1/24))) (* (+ 1/6 (* x 1/24)) (* (+ 1/6 (* x 1/24)) (* x x)))))>
#<alt (* x (+ 1/6 (* x 1/24)))>
#<alt (* x (* x x))>
#<alt (* (* x 1/24) (+ (* x 1/24) -1/6))>
#<alt (* (+ 1/216 (* (* x (* x x)) 1/13824)) x)>
#<alt (* (+ 1/6 (* x 1/24)) (* (+ 1/6 (* x 1/24)) (* 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 (- (* 1/12 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 (* 1/2 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>
#<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>
#<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 (* 1/8 x)>
#<alt (* x (+ 1/8 (* 1/216 (pow x 3))))>
#<alt (* x (+ 1/8 (* (pow x 3) (+ 1/216 (* 1/288 x)))))>
#<alt (* x (+ 1/8 (* (pow x 3) (+ 1/216 (* x (+ 1/288 (* 1/1152 x)))))))>
#<alt (* 1/13824 (pow x 7))>
#<alt (* (pow x 7) (+ 1/13824 (* 1/1152 (/ 1 x))))>
#<alt (* (pow x 7) (+ 1/13824 (+ (/ 1/288 (pow x 2)) (* 1/1152 (/ 1 x)))))>
#<alt (* (pow x 7) (+ 1/13824 (+ (/ 1/288 (pow x 2)) (+ (* 1/1152 (/ 1 x)) (* 1/216 (/ 1 (pow x 3)))))))>
#<alt (* 1/13824 (pow x 7))>
#<alt (* (pow x 7) (+ 1/13824 (* 1/1152 (/ 1 x))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/1152 (* 1/288 (/ 1 x))) x)) 1/13824)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/1152 (+ (/ 1/216 (pow x 2)) (* 1/288 (/ 1 x)))) x)) 1/13824)))>
#<alt 1/8>
#<alt (+ 1/8 (* 1/216 (pow x 3)))>
#<alt (+ 1/8 (* (pow x 3) (+ 1/216 (* 1/288 x))))>
#<alt (+ 1/8 (* (pow x 3) (+ 1/216 (* x (+ 1/288 (* 1/1152 x))))))>
#<alt (* 1/13824 (pow x 6))>
#<alt (* (pow x 6) (+ 1/13824 (* 1/1152 (/ 1 x))))>
#<alt (* (pow x 6) (+ 1/13824 (+ (/ 1/288 (pow x 2)) (* 1/1152 (/ 1 x)))))>
#<alt (* (pow x 6) (+ 1/13824 (+ (/ 1/288 (pow x 2)) (+ (* 1/1152 (/ 1 x)) (* 1/216 (/ 1 (pow x 3)))))))>
#<alt (* 1/13824 (pow x 6))>
#<alt (* (pow x 6) (+ 1/13824 (* 1/1152 (/ 1 x))))>
#<alt (* (pow x 6) (+ 1/13824 (+ (/ 1/288 (pow x 2)) (* 1/1152 (/ 1 x)))))>
#<alt (* (pow x 6) (+ 1/13824 (* -1 (/ (- (* -1 (/ (+ 1/288 (* 1/216 (/ 1 x))) x)) 1/1152) 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 (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (* -1/144 x)>
#<alt (* x (- (* 1/576 x) 1/144))>
#<alt (* x (- (* 1/576 x) 1/144))>
#<alt (* x (- (* 1/576 x) 1/144))>
#<alt (* 1/576 (pow x 2))>
#<alt (* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))>
#<alt (* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))>
#<alt (* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))>
#<alt (* 1/576 (pow x 2))>
#<alt (* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))>
#<alt (* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))>
#<alt (* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))>
#<alt (* 1/216 x)>
#<alt (* x (+ 1/216 (* 1/13824 (pow x 3))))>
#<alt (* x (+ 1/216 (* 1/13824 (pow x 3))))>
#<alt (* x (+ 1/216 (* 1/13824 (pow x 3))))>
#<alt (* 1/13824 (pow x 4))>
#<alt (* (pow x 4) (+ 1/13824 (* 1/216 (/ 1 (pow x 3)))))>
#<alt (* (pow x 4) (+ 1/13824 (* 1/216 (/ 1 (pow x 3)))))>
#<alt (* (pow x 4) (+ 1/13824 (* 1/216 (/ 1 (pow x 3)))))>
#<alt (* 1/13824 (pow x 4))>
#<alt (* (pow x 4) (+ 1/13824 (* 1/216 (/ 1 (pow x 3)))))>
#<alt (* (pow x 4) (+ 1/13824 (* 1/216 (/ 1 (pow x 3)))))>
#<alt (* (pow x 4) (+ 1/13824 (* 1/216 (/ 1 (pow x 3)))))>
#<alt (* 1/36 (pow x 2))>
#<alt (* (pow x 2) (+ 1/36 (* 1/72 x)))>
#<alt (* (pow x 2) (+ 1/36 (* x (+ 1/72 (* 1/576 x)))))>
#<alt (* (pow x 2) (+ 1/36 (* x (+ 1/72 (* 1/576 x)))))>
#<alt (* 1/576 (pow x 4))>
#<alt (* (pow x 4) (+ 1/576 (* 1/72 (/ 1 x))))>
#<alt (* (pow x 4) (+ 1/576 (+ (/ 1/36 (pow x 2)) (* 1/72 (/ 1 x)))))>
#<alt (* (pow x 4) (+ 1/576 (+ (/ 1/36 (pow x 2)) (* 1/72 (/ 1 x)))))>
#<alt (* 1/576 (pow x 4))>
#<alt (* (pow x 4) (+ 1/576 (* 1/72 (/ 1 x))))>
#<alt (* (pow x 4) (+ 1/576 (+ (/ 1/36 (pow x 2)) (* 1/72 (/ 1 x)))))>
#<alt (* (pow x 4) (+ 1/576 (+ (/ 1/36 (pow x 2)) (* 1/72 (/ 1 x)))))>

Calls

66 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(/ (* (+ 1/8 (* (* x (+ 1/6 (* x 1/24))) (* (+ 1/6 (* x 1/24)) (* (+ 1/6 (* x 1/24)) (* x x))))) x) (+ 1/4 (* (* x (+ 1/6 (* x 1/24))) (+ (* x (+ 1/6 (* x 1/24))) -1/2))))
1.0ms	x	@	inf	(/ (* (+ 1/216 (* (* x (* x x)) 1/13824)) x) (+ 1/36 (* (* x 1/24) (+ (* x 1/24) -1/6))))
1.0ms	x	@	-inf	(/ (* (+ 1/8 (* (* x (+ 1/6 (* x 1/24))) (* (+ 1/6 (* x 1/24)) (* (+ 1/6 (* x 1/24)) (* x x))))) x) (+ 1/4 (* (* x (+ 1/6 (* x 1/24))) (+ (* x (+ 1/6 (* x 1/24))) -1/2))))
1.0ms	x	@	inf	(/ (* (+ 1/8 (* (* x (+ 1/6 (* x 1/24))) (* (+ 1/6 (* x 1/24)) (* (+ 1/6 (* x 1/24)) (* x x))))) x) (+ 1/4 (* (* x (+ 1/6 (* x 1/24))) (+ (* x (+ 1/6 (* x 1/24))) -1/2))))
0.0ms	x	@	-inf	(+ 1 (/ (* (+ 1/8 (* (* x (+ 1/6 (* x 1/24))) (* (+ 1/6 (* x 1/24)) (* (+ 1/6 (* x 1/24)) (* x x))))) x) (+ 1/4 (* (* x (+ 1/6 (* x 1/24))) (+ (* x (+ 1/6 (* x 1/24))) -1/2)))))

rewrite350.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

2880×	`fma-lowering-fma.f32`
2880×	`fma-lowering-fma.f64`
2744×	`-lowering-.f32`
2744×	`-lowering-.f64`
1706×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	46	315
1	312	181
2	3205	179
0	8580	179

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 754

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))))))
(* 1/2 x)
(/ (* (+ 1/6 (* x 1/24)) (* x (* x x))) x)
(* (+ 1/6 (* x 1/24)) (* x (* x x)))
(+ 1/6 (* x 1/24))
(* x 1/24)
(+ 1 (* x (+ 1/2 (/ (* (+ 1/216 (* (* x (* x x)) 1/13824)) x) (+ 1/36 (* (* x 1/24) (+ (* x 1/24) -1/6)))))))
(* x (+ 1/2 (/ (* (+ 1/216 (* (* x (* x x)) 1/13824)) x) (+ 1/36 (* (* x 1/24) (+ (* x 1/24) -1/6))))))
(+ 1/2 (/ (* (+ 1/216 (* (* x (* x x)) 1/13824)) x) (+ 1/36 (* (* x 1/24) (+ (* x 1/24) -1/6)))))
(/ (* (+ 1/216 (* (* x (* x x)) 1/13824)) x) (+ 1/36 (* (* x 1/24) (+ (* x 1/24) -1/6))))
(+ 1 (/ (* (+ 1/8 (* (* x (+ 1/6 (* x 1/24))) (* (+ 1/6 (* x 1/24)) (* (+ 1/6 (* x 1/24)) (* x x))))) x) (+ 1/4 (* (* x (+ 1/6 (* x 1/24))) (+ (* x (+ 1/6 (* x 1/24))) -1/2)))))
(/ (* (+ 1/8 (* (* x (+ 1/6 (* x 1/24))) (* (+ 1/6 (* x 1/24)) (* (+ 1/6 (* x 1/24)) (* x x))))) x) (+ 1/4 (* (* x (+ 1/6 (* x 1/24))) (+ (* x (+ 1/6 (* x 1/24))) -1/2))))
(* (+ 1/8 (* (* x (+ 1/6 (* x 1/24))) (* (+ 1/6 (* x 1/24)) (* (+ 1/6 (* x 1/24)) (* x x))))) x)
(+ 1/8 (* (* x (+ 1/6 (* x 1/24))) (* (+ 1/6 (* x 1/24)) (* (+ 1/6 (* x 1/24)) (* x x)))))
(* x (+ 1/6 (* x 1/24)))
(* x (* x x))
(* (* x 1/24) (+ (* x 1/24) -1/6))
(* (+ 1/216 (* (* x (* x x)) 1/13824)) x)
(* (+ 1/6 (* x 1/24)) (* (+ 1/6 (* x 1/24)) (* x x)))

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

simplify236.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

3712×	`-lowering-.f32`
3712×	`-lowering-.f64`
1952×	`+-lowering-+.f64`
1952×	`+-lowering-+.f32`
1844×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	225	2229
1	760	2100
2	2272	1989
3	7009	1989
0	8145	1989

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

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)))
(* 1/2 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
(+ 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
(+ 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)))
(* 1/8 x)
(* x (+ 1/8 (* 1/216 (pow x 3))))
(* x (+ 1/8 (* (pow x 3) (+ 1/216 (* 1/288 x)))))
(* x (+ 1/8 (* (pow x 3) (+ 1/216 (* x (+ 1/288 (* 1/1152 x)))))))
(* 1/13824 (pow x 7))
(* (pow x 7) (+ 1/13824 (* 1/1152 (/ 1 x))))
(* (pow x 7) (+ 1/13824 (+ (/ 1/288 (pow x 2)) (* 1/1152 (/ 1 x)))))
(* (pow x 7) (+ 1/13824 (+ (/ 1/288 (pow x 2)) (+ (* 1/1152 (/ 1 x)) (* 1/216 (/ 1 (pow x 3)))))))
(* 1/13824 (pow x 7))
(* (pow x 7) (+ 1/13824 (* 1/1152 (/ 1 x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/1152 (* 1/288 (/ 1 x))) x)) 1/13824)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/1152 (+ (/ 1/216 (pow x 2)) (* 1/288 (/ 1 x)))) x)) 1/13824)))
1/8
(+ 1/8 (* 1/216 (pow x 3)))
(+ 1/8 (* (pow x 3) (+ 1/216 (* 1/288 x))))
(+ 1/8 (* (pow x 3) (+ 1/216 (* x (+ 1/288 (* 1/1152 x))))))
(* 1/13824 (pow x 6))
(* (pow x 6) (+ 1/13824 (* 1/1152 (/ 1 x))))
(* (pow x 6) (+ 1/13824 (+ (/ 1/288 (pow x 2)) (* 1/1152 (/ 1 x)))))
(* (pow x 6) (+ 1/13824 (+ (/ 1/288 (pow x 2)) (+ (* 1/1152 (/ 1 x)) (* 1/216 (/ 1 (pow x 3)))))))
(* 1/13824 (pow x 6))
(* (pow x 6) (+ 1/13824 (* 1/1152 (/ 1 x))))
(* (pow x 6) (+ 1/13824 (+ (/ 1/288 (pow x 2)) (* 1/1152 (/ 1 x)))))
(* (pow x 6) (+ 1/13824 (* -1 (/ (- (* -1 (/ (+ 1/288 (* 1/216 (/ 1 x))) x)) 1/1152) 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))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* -1/144 x)
(* x (- (* 1/576 x) 1/144))
(* x (- (* 1/576 x) 1/144))
(* x (- (* 1/576 x) 1/144))
(* 1/576 (pow x 2))
(* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))
(* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))
(* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))
(* 1/576 (pow x 2))
(* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))
(* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))
(* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))
(* 1/216 x)
(* x (+ 1/216 (* 1/13824 (pow x 3))))
(* x (+ 1/216 (* 1/13824 (pow x 3))))
(* x (+ 1/216 (* 1/13824 (pow x 3))))
(* 1/13824 (pow x 4))
(* (pow x 4) (+ 1/13824 (* 1/216 (/ 1 (pow x 3)))))
(* (pow x 4) (+ 1/13824 (* 1/216 (/ 1 (pow x 3)))))
(* (pow x 4) (+ 1/13824 (* 1/216 (/ 1 (pow x 3)))))
(* 1/13824 (pow x 4))
(* (pow x 4) (+ 1/13824 (* 1/216 (/ 1 (pow x 3)))))
(* (pow x 4) (+ 1/13824 (* 1/216 (/ 1 (pow x 3)))))
(* (pow x 4) (+ 1/13824 (* 1/216 (/ 1 (pow x 3)))))
(* 1/36 (pow x 2))
(* (pow x 2) (+ 1/36 (* 1/72 x)))
(* (pow x 2) (+ 1/36 (* x (+ 1/72 (* 1/576 x)))))
(* (pow x 2) (+ 1/36 (* x (+ 1/72 (* 1/576 x)))))
(* 1/576 (pow x 4))
(* (pow x 4) (+ 1/576 (* 1/72 (/ 1 x))))
(* (pow x 4) (+ 1/576 (+ (/ 1/36 (pow x 2)) (* 1/72 (/ 1 x)))))
(* (pow x 4) (+ 1/576 (+ (/ 1/36 (pow x 2)) (* 1/72 (/ 1 x)))))
(* 1/576 (pow x 4))
(* (pow x 4) (+ 1/576 (* 1/72 (/ 1 x))))
(* (pow x 4) (+ 1/576 (+ (/ 1/36 (pow x 2)) (* 1/72 (/ 1 x)))))
(* (pow x 4) (+ 1/576 (+ (/ 1/36 (pow x 2)) (* 1/72 (/ 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 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 (.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 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 #s(literal 0 binary64) (.f64 (.f64 x (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) x)) 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 (+.f64 (/.f64 (+.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal -1 binary64) (.f64 x x))) x) #s(literal -1/24 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x (.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))))))))
(* 1/24 (pow x 4))
(.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x)))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)) (.f64 (.f64 x 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 (.f64 x 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 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x x)))) (.f64 (.f64 x x) (.f64 x x)))
(* 1/24 (pow x 4))
(.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x)))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)) (.f64 (.f64 x 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 (.f64 x x) (*.f64 x x)))
(* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1/6 binary64)) 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 (/.f64 #s(literal 24 binary64) (*.f64 x 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 #s(literal 24 binary64) (+.f64 (/.f64 (/.f64 #s(literal 192 binary64) (.f64 x x)) x) (/.f64 (+.f64 (/.f64 #s(literal 96 binary64) x) #s(literal -96 binary64)) x))) (.f64 x (*.f64 x x)))
(/ 24 (pow x 3))
(/.f64 (/.f64 #s(literal 24 binary64) (*.f64 x 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 (/.f64 (+.f64 #s(literal 96 binary64) (/.f64 #s(literal -96 binary64) x)) x) #s(literal -24 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))))
(* -1 (/ (- (* -1 (/ (- (+ (* 96 (/ 1 x)) (/ 192 (pow x 2))) 96) x)) 24) (pow x 3)))
(/.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)) (-.f64 #s(literal 0 binary64) (.f64 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 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 (.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 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 #s(literal 0 binary64) (.f64 (.f64 x (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) x)) 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 (+.f64 (/.f64 (+.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal -1 binary64) (.f64 x x))) x) #s(literal -1/24 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x 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 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)))))
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(*.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/13824 (* 1/1152 (/ 1 x))))
(*.f64 (+.f64 #s(literal 1/13824 binary64) (/.f64 #s(literal 1/1152 binary64) x)) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/13824 (+ (/ 1/288 (pow x 2)) (* 1/1152 (/ 1 x)))))
(.f64 (+.f64 (/.f64 #s(literal 1/1152 binary64) x) (+.f64 #s(literal 1/13824 binary64) (/.f64 #s(literal 1/288 binary64) (.f64 x x)))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/13824 (* -1 (/ (- (* -1 (/ (+ 1/288 (* 1/216 (/ 1 x))) x)) 1/1152) x))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 1/13824 binary64) (/.f64 (-.f64 #s(literal -1/1152 binary64) (/.f64 (+.f64 #s(literal 1/288 binary64) (/.f64 #s(literal 1/216 binary64) x)) x)) x)))
(* 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))))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(* -1/144 x)
(*.f64 x #s(literal -1/144 binary64))
(* x (- (* 1/576 x) 1/144))
(.f64 x (+.f64 #s(literal -1/144 binary64) (.f64 x #s(literal 1/576 binary64))))
(* x (- (* 1/576 x) 1/144))
(.f64 x (+.f64 #s(literal -1/144 binary64) (.f64 x #s(literal 1/576 binary64))))
(* x (- (* 1/576 x) 1/144))
(.f64 x (+.f64 #s(literal -1/144 binary64) (.f64 x #s(literal 1/576 binary64))))
(* 1/576 (pow x 2))
(.f64 x (.f64 x #s(literal 1/576 binary64)))
(* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))
(.f64 x (+.f64 #s(literal -1/144 binary64) (.f64 x #s(literal 1/576 binary64))))
(* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))
(.f64 x (+.f64 #s(literal -1/144 binary64) (.f64 x #s(literal 1/576 binary64))))
(* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))
(.f64 x (+.f64 #s(literal -1/144 binary64) (.f64 x #s(literal 1/576 binary64))))
(* 1/576 (pow x 2))
(.f64 x (.f64 x #s(literal 1/576 binary64)))
(* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))
(.f64 x (+.f64 #s(literal -1/144 binary64) (.f64 x #s(literal 1/576 binary64))))
(* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))
(.f64 x (+.f64 #s(literal -1/144 binary64) (.f64 x #s(literal 1/576 binary64))))
(* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))
(.f64 x (+.f64 #s(literal -1/144 binary64) (.f64 x #s(literal 1/576 binary64))))
(* 1/216 x)
(*.f64 x #s(literal 1/216 binary64))
(* x (+ 1/216 (* 1/13824 (pow x 3))))
(.f64 x (+.f64 #s(literal 1/216 binary64) (.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)))))
(* x (+ 1/216 (* 1/13824 (pow x 3))))
(.f64 x (+.f64 #s(literal 1/216 binary64) (.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)))))
(* x (+ 1/216 (* 1/13824 (pow x 3))))
(.f64 x (+.f64 #s(literal 1/216 binary64) (.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)))))
(* 1/13824 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64))))
(* (pow x 4) (+ 1/13824 (* 1/216 (/ 1 (pow x 3)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/13824 binary64) (/.f64 #s(literal 1/216 binary64) (.f64 x (.f64 x x)))))
(* (pow x 4) (+ 1/13824 (* 1/216 (/ 1 (pow x 3)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/13824 binary64) (/.f64 #s(literal 1/216 binary64) (.f64 x (.f64 x x)))))
(* (pow x 4) (+ 1/13824 (* 1/216 (/ 1 (pow x 3)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/13824 binary64) (/.f64 #s(literal 1/216 binary64) (.f64 x (.f64 x x)))))
(* 1/13824 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64))))
(* (pow x 4) (+ 1/13824 (* 1/216 (/ 1 (pow x 3)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/13824 binary64) (/.f64 #s(literal 1/216 binary64) (.f64 x (.f64 x x)))))
(* (pow x 4) (+ 1/13824 (* 1/216 (/ 1 (pow x 3)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/13824 binary64) (/.f64 #s(literal 1/216 binary64) (.f64 x (.f64 x x)))))
(* (pow x 4) (+ 1/13824 (* 1/216 (/ 1 (pow x 3)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/13824 binary64) (/.f64 #s(literal 1/216 binary64) (.f64 x (.f64 x x)))))
(* 1/36 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/36 binary64))
(* (pow x 2) (+ 1/36 (* 1/72 x)))
(.f64 x (.f64 x (+.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/72 binary64)))))
(* (pow x 2) (+ 1/36 (* x (+ 1/72 (* 1/576 x)))))
(.f64 x (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/576 binary64)) #s(literal 1/72 binary64))))))
(* (pow x 2) (+ 1/36 (* x (+ 1/72 (* 1/576 x)))))
(.f64 x (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/576 binary64)) #s(literal 1/72 binary64))))))
(* 1/576 (pow x 4))
(.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/576 binary64))))
(* (pow x 4) (+ 1/576 (* 1/72 (/ 1 x))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/576 binary64) (/.f64 #s(literal 1/72 binary64) x)))
(* (pow x 4) (+ 1/576 (+ (/ 1/36 (pow x 2)) (* 1/72 (/ 1 x)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/72 binary64) x) (+.f64 #s(literal 1/576 binary64) (/.f64 #s(literal 1/36 binary64) (*.f64 x x)))))
(* (pow x 4) (+ 1/576 (+ (/ 1/36 (pow x 2)) (* 1/72 (/ 1 x)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/72 binary64) x) (+.f64 #s(literal 1/576 binary64) (/.f64 #s(literal 1/36 binary64) (*.f64 x x)))))
(* 1/576 (pow x 4))
(.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/576 binary64))))
(* (pow x 4) (+ 1/576 (* 1/72 (/ 1 x))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/576 binary64) (/.f64 #s(literal 1/72 binary64) x)))
(* (pow x 4) (+ 1/576 (+ (/ 1/36 (pow x 2)) (* 1/72 (/ 1 x)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/72 binary64) x) (+.f64 #s(literal 1/576 binary64) (/.f64 #s(literal 1/36 binary64) (*.f64 x x)))))
(* (pow x 4) (+ 1/576 (+ (/ 1/36 (pow x 2)) (* 1/72 (/ 1 x)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/72 binary64) x) (+.f64 #s(literal 1/576 binary64) (/.f64 #s(literal 1/36 binary64) (*.f64 x x)))))

eval217.0ms (2.1%)

Compiler: Compiled 56701 to 4118 computations (92.7% saved)

prune150.0ms (1.4%)

Pruning

34 alts after pruning (27 fresh and 7 done)

	Pruned	Kept	Total
New	1474	19	1493
Fresh	24	8	32
Picked	3	2	5
Done	0	5	5
Total	1501	34	1535

Accuracy

100.0%

Counts

1535 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	12.0%	(/.f64 (/.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)))) (.f64 x (.f64 x x))) (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 #s(literal 1/24 binary64) (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)))))) x)
	22.5%	(/.f64 (/.f64 x (/.f64 (/.f64 #s(literal 24 binary64) (*.f64 x x)) x)) x)
▶	22.4%	(/.f64 (/.f64 x (/.f64 (-.f64 #s(literal 24 binary64) (/.f64 #s(literal 96 binary64) x)) (.f64 x (.f64 x x)))) x)
▶	66.6%	(/.f64 (/.f64 x (/.f64 #s(literal 1 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)))))))) x)
	22.5%	(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64)))))) x)
	47.9%	(/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/12 binary64)))))) x)
	50.4%	(/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) x)
	47.3%	(/.f64 (.f64 (-.f64 #s(literal 1 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 (+.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))))) #s(literal 1 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)))))))))
	11.6%	(/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x)) x))
	22.8%	(/.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 #s(literal -1/24 binary64) x)))
✓	100.0%	(/.f64 (expm1.f64 x) x)
	20.7%	(/.f64 x (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))
	64.5%	(/.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))
	66.5%	(/.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))
	48.9%	(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x)) (.f64 x (.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 #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 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))) x) (-.f64 #s(literal 1/8 binary64) (.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x)) (.f64 x (.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 1/4 binary64) (.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)))) #s(literal -1/2 binary64))))))
	52.5%	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (+.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 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x))))) x) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))))
	49.8%	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/576 binary64)))))) x) (+.f64 #s(literal 1/4 binary64) (.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)))) #s(literal -1/2 binary64))))))
✓	60.9%	(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/6 binary64)))))
	47.0%	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (.f64 (+.f64 #s(literal 1/10077696 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1/2641807540224 binary64))) x) (+.f64 #s(literal 1/46656 binary64) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64))) (+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64))) #s(literal -1/216 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))))))))
✓	52.8%	(+.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))))))))
	20.0%	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/13824 binary64) (/.f64 #s(literal 1/216 binary64) (.f64 x (.f64 x 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))))))))
	64.5%	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))
	64.5%	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x)) (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (*.f64 x x) #s(literal 1/576 binary64))) x))))))
✓	64.5%	(+.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)))))))
✓	47.4%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
	20.7%	(.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (*.f64 x x))
▶	6.9%	(.f64 (+.f64 #s(literal 1/216 binary64) (.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)))) (.f64 (/.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 #s(literal 1/24 binary64) (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)))))) x))
▶	20.6%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
	20.4%	(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
	17.2%	(.f64 x (.f64 x #s(literal 1/6 binary64)))
✓	3.7%	(*.f64 #s(literal 1/2 binary64) x)
▶	17.2%	(.f64 #s(literal 1/6 binary64) (.f64 x x))
	20.4%	(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
✓	47.5%	#s(literal 1 binary64)

Compiler

Compiled 1499 to 805 computations (46.3% saved)

simplify192.0ms (1.8%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 #s(literal 1/24 binary64) (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)))))
✓	cost-diff	128	(/.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 #s(literal 1/24 binary64) (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64))))))
✓	cost-diff	128	(.f64 (/.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 #s(literal 1/24 binary64) (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)))))) x)
✓	cost-diff	128	(.f64 (+.f64 #s(literal 1/216 binary64) (.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)))) (.f64 (/.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 #s(literal 1/24 binary64) (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)))))) x))
✓	cost-diff	0	(-.f64 #s(literal 24 binary64) (/.f64 #s(literal 96 binary64) x))
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 24 binary64) (/.f64 #s(literal 96 binary64) x)) (.f64 x (.f64 x x)))
✓	cost-diff	0	(/.f64 x (/.f64 (-.f64 #s(literal 24 binary64) (/.f64 #s(literal 96 binary64) x)) (.f64 x (.f64 x x))))
✓	cost-diff	256	(/.f64 (/.f64 x (/.f64 (-.f64 #s(literal 24 binary64) (/.f64 #s(literal 96 binary64) x)) (.f64 x (.f64 x x)))) x)
✓	cost-diff	0	(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))
✓	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 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 (.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 #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	128	(/.f64 x (/.f64 #s(literal 1 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))))))))
✓	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 (.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

3546×	`-lowering-.f32`
3546×	`-lowering-.f64`
1528×	`fma-define`
1506×	`fma-lowering-fma.f32`
1506×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	48	392
1	132	353
2	368	330
3	919	324
4	2392	324
5	4743	324
0	8639	324

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (/ x (/ 1 (+ 1 (* x (+ 1/2 (/ (* (- 1/36 (* (* x x) 1/576)) x) (+ 1/6 (* -1/24 x)))))))) x)
(/ x (/ 1 (+ 1 (* x (+ 1/2 (/ (* (- 1/36 (* (* x x) 1/576)) x) (+ 1/6 (* -1/24 x))))))))
x
(/ 1 (+ 1 (* x (+ 1/2 (/ (* (- 1/36 (* (* x x) 1/576)) x) (+ 1/6 (* -1/24 x)))))))
1
(+ 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 (/ (* (- 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
(* 1/6 (* x x))
1/6
(* x x)
x
(* 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
(/ (/ x (/ (- 24 (/ 96 x)) (* x (* x x)))) x)
(/ x (/ (- 24 (/ 96 x)) (* x (* x x))))
x
(/ (- 24 (/ 96 x)) (* x (* x x)))
(- 24 (/ 96 x))
24
(/ 96 x)
96
(* x (* x x))
(* x x)
(* (+ 1/216 (* x (* (* x x) 1/13824))) (* (/ x (+ 1/36 (* x (* 1/24 (+ (* x 1/24) -1/6))))) x))
(+ 1/216 (* x (* (* x x) 1/13824)))
1/216
(* x (* (* x x) 1/13824))
x
(* (* x x) 1/13824)
(* x x)
1/13824
(* (/ x (+ 1/36 (* x (* 1/24 (+ (* x 1/24) -1/6))))) x)
(/ x (+ 1/36 (* x (* 1/24 (+ (* x 1/24) -1/6)))))
(+ 1/36 (* x (* 1/24 (+ (* x 1/24) -1/6))))
1/36
(* x (* 1/24 (+ (* x 1/24) -1/6)))
(* 1/24 (+ (* x 1/24) -1/6))
1/24
(+ (* x 1/24) -1/6)
(* x 1/24)
-1/6

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

localize253.0ms (2.4%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(.f64 #s(literal 1/24 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	99.4%	(.f64 (.f64 x x) #s(literal 1/13824 binary64))
✓	accuracy	78.0%	(/.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 #s(literal 1/24 binary64) (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64))))))
✓	accuracy	99.9%	(/.f64 x (/.f64 (-.f64 #s(literal 24 binary64) (/.f64 #s(literal 96 binary64) x)) (.f64 x (.f64 x x))))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.5%	(/.f64 (-.f64 #s(literal 24 binary64) (/.f64 #s(literal 96 binary64) x)) (.f64 x (.f64 x x)))
✓	accuracy	92.0%	(/.f64 (/.f64 x (/.f64 (-.f64 #s(literal 24 binary64) (/.f64 #s(literal 96 binary64) x)) (.f64 x (.f64 x x)))) x)
✓	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	99.6%	(.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 x x)
✓	accuracy	99.7%	(.f64 #s(literal 1/6 binary64) (.f64 x x))
✓	accuracy	99.5%	(/.f64 #s(literal 1 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)))))))
✓	accuracy	99.5%	(*.f64 #s(literal -1/24 binary64) x)
✓	accuracy	93.9%	(/.f64 (/.f64 x (/.f64 #s(literal 1 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)))))))) x)
✓	accuracy	90.9%	(/.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

146.0ms	242×	0	valid
11.0ms	7×	2	valid
7.0ms	6×	1	valid
3.0ms	1×	5	exit

Compiler

Compiled 413 to 49 computations (88.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 97.0ms

...c/correct-round.rkt:119:19: 32.0ms (33% of total)

ival-mult: 31.0ms (32% of total)

ival-div: 17.0ms (17.5% of total)

ival-add: 11.0ms (11.3% of total)

ival-sub: 3.0ms (3.1% of total)

backward-pass: 2.0ms (2.1% of total)

const: 1.0ms (1% of total)

series12.0ms (0.1%)

Counts

24 → 288

Calls

Call 1

Inputs
#<alt (/ (/ x (/ 1 (+ 1 (* x (+ 1/2 (/ (* (- 1/36 (* (* x x) 1/576)) x) (+ 1/6 (* -1/24 x)))))))) x)>
#<alt (/ x (/ 1 (+ 1 (* x (+ 1/2 (/ (* (- 1/36 (* (* x x) 1/576)) x) (+ 1/6 (* -1/24 x))))))))>
#<alt (/ 1 (+ 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 (* 1/6 (* x x))>
#<alt (* x x)>
#<alt (* x (+ 1/2 (* x (+ 1/6 (* x 1/24)))))>
#<alt (+ 1/2 (* x (+ 1/6 (* x 1/24))))>
#<alt (* x (+ 1/6 (* x 1/24)))>
#<alt (+ 1/6 (* x 1/24))>
#<alt (/ (/ x (/ (- 24 (/ 96 x)) (* x (* x x)))) x)>
#<alt (/ x (/ (- 24 (/ 96 x)) (* x (* x x))))>
#<alt (/ (- 24 (/ 96 x)) (* x (* x x)))>
#<alt (- 24 (/ 96 x))>
#<alt (* (+ 1/216 (* x (* (* x x) 1/13824))) (* (/ x (+ 1/36 (* x (* 1/24 (+ (* x 1/24) -1/6))))) x))>
#<alt (* (/ x (+ 1/36 (* x (* 1/24 (+ (* x 1/24) -1/6))))) x)>
#<alt (/ x (+ 1/36 (* x (* 1/24 (+ (* x 1/24) -1/6)))))>
#<alt (+ 1/36 (* x (* 1/24 (+ (* x 1/24) -1/6))))>
#<alt (/ (* (- 1/36 (* (* x x) 1/576)) x) (+ 1/6 (* -1/24 x)))>
#<alt (* -1/24 x)>
#<alt (* x 1/24)>
#<alt (* x (* x x))>
#<alt (* (* x x) 1/13824)>
#<alt (* 1/24 (+ (* x 1/24) -1/6))>

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 (* 1/2 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>
#<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 (* -1/96 (pow x 4))>
#<alt (* (pow x 4) (- (* -1/384 x) 1/96))>
#<alt (* (pow x 4) (- (* x (- (* -1/1536 x) 1/384)) 1/96))>
#<alt (* (pow x 4) (- (* x (- (* x (- (* -1/6144 x) 1/1536)) 1/384)) 1/96))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 2/3 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 2/3 (pow x 2)) (+ (* 1/6 (/ 1 x)) (* 8/3 (/ 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 (* 2/3 (/ 1 x))) x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 2/3 (/ 1 x)) (/ 8/3 (pow x 2)))) x)) 1/24)))>
#<alt (* -1/96 (pow x 5))>
#<alt (* (pow x 5) (- (* -1/384 x) 1/96))>
#<alt (* (pow x 5) (- (* x (- (* -1/1536 x) 1/384)) 1/96))>
#<alt (* (pow x 5) (- (* x (- (* x (- (* -1/6144 x) 1/1536)) 1/384)) 1/96))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 4) (+ 1/24 (+ (/ 2/3 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 4) (+ 1/24 (+ (/ 2/3 (pow x 2)) (+ (* 1/6 (/ 1 x)) (* 8/3 (/ 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 (+ (/ 2/3 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 2/3 (* 8/3 (/ 1 x))) x)) 1/6) x))))>
#<alt (/ -96 (pow x 4))>
#<alt (/ (- (* 24 x) 96) (pow x 4))>
#<alt (/ (- (* 24 x) 96) (pow x 4))>
#<alt (/ (- (* 24 x) 96) (pow x 4))>
#<alt (/ 24 (pow x 3))>
#<alt (/ (- 24 (* 96 (/ 1 x))) (pow x 3))>
#<alt (/ (- 24 (* 96 (/ 1 x))) (pow x 3))>
#<alt (/ (- 24 (* 96 (/ 1 x))) (pow x 3))>
#<alt (/ 24 (pow x 3))>
#<alt (* -1 (/ (- (* 96 (/ 1 x)) 24) (pow x 3)))>
#<alt (* -1 (/ (- (* 96 (/ 1 x)) 24) (pow x 3)))>
#<alt (* -1 (/ (- (* 96 (/ 1 x)) 24) (pow x 3)))>
#<alt (/ -96 x)>
#<alt (/ (- (* 24 x) 96) x)>
#<alt (/ (- (* 24 x) 96) x)>
#<alt (/ (- (* 24 x) 96) x)>
#<alt 24>
#<alt (- 24 (* 96 (/ 1 x)))>
#<alt (- 24 (* 96 (/ 1 x)))>
#<alt (- 24 (* 96 (/ 1 x)))>
#<alt 24>
#<alt (- 24 (* 96 (/ 1 x)))>
#<alt (- 24 (* 96 (/ 1 x)))>
#<alt (- 24 (* 96 (/ 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 (* 36 (pow x 2))>
#<alt (* (pow x 2) (+ 36 (* 9 x)))>
#<alt (* (pow x 2) (+ 36 (* x (+ 9 (* -9/16 (pow x 2))))))>
#<alt (* (pow x 2) (+ 36 (* x (+ 9 (* (pow x 2) (- (* -9/64 x) 9/16))))))>
#<alt 576>
#<alt (+ 576 (* 2304 (/ 1 x)))>
#<alt (- (+ 576 (* 2304 (/ 1 x))) (/ 36864 (pow x 3)))>
#<alt (+ 576 (+ (* -1 (/ (+ 36864 (* 147456 (/ 1 x))) (pow x 3))) (* 2304 (/ 1 x))))>
#<alt 576>
#<alt (+ 576 (* 2304 (/ 1 x)))>
#<alt (+ 576 (* -1 (/ (- (* 36864 (/ 1 (pow x 2))) 2304) x)))>
#<alt (+ 576 (* -1 (/ (- (+ (* 36864 (/ 1 (pow x 2))) (/ 147456 (pow x 3))) 2304) x)))>
#<alt (* 36 x)>
#<alt (* x (+ 36 (* 9 x)))>
#<alt (* x (+ 36 (* x (+ 9 (* -9/16 (pow x 2))))))>
#<alt (* x (+ 36 (* x (+ 9 (* (pow x 2) (- (* -9/64 x) 9/16))))))>
#<alt (/ 576 x)>
#<alt (/ (+ 576 (* 2304 (/ 1 x))) x)>
#<alt (/ (- (+ 576 (* 2304 (/ 1 x))) (/ 36864 (pow x 3))) x)>
#<alt (/ (+ 576 (+ (* -1 (/ (+ 36864 (* 147456 (/ 1 x))) (pow x 3))) (* 2304 (/ 1 x)))) x)>
#<alt (/ 576 x)>
#<alt (/ (+ 576 (* 2304 (/ 1 x))) x)>
#<alt (* -1 (/ (- (* -1 (/ (- 2304 (* 36864 (/ 1 (pow x 2)))) x)) 576) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 2304 (* -1 (/ (+ 36864 (* 147456 (/ 1 x))) (pow x 2)))) x)) 576) x))>
#<alt 1/36>
#<alt (+ 1/36 (* -1/144 x))>
#<alt (+ 1/36 (* x (- (* 1/576 x) 1/144)))>
#<alt (+ 1/36 (* x (- (* 1/576 x) 1/144)))>
#<alt (* 1/576 (pow x 2))>
#<alt (* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 1/576 (/ 1/36 (pow x 2))) (* 1/144 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 1/576 (/ 1/36 (pow x 2))) (* 1/144 (/ 1 x))))>
#<alt (* 1/576 (pow x 2))>
#<alt (* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/576 (* -1 (/ (- 1/144 (* 1/36 (/ 1 x))) x))))>
#<alt (* (pow x 2) (+ 1/576 (* -1 (/ (- 1/144 (* 1/36 (/ 1 x))) 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 (* 1/24 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 (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (* 1/13824 (pow x 2))>
#<alt (* 1/13824 (pow x 2))>
#<alt (* 1/13824 (pow x 2))>
#<alt (* 1/13824 (pow x 2))>
#<alt (* 1/13824 (pow x 2))>
#<alt (* 1/13824 (pow x 2))>
#<alt (* 1/13824 (pow x 2))>
#<alt (* 1/13824 (pow x 2))>
#<alt (* 1/13824 (pow x 2))>
#<alt (* 1/13824 (pow x 2))>
#<alt (* 1/13824 (pow x 2))>
#<alt (* 1/13824 (pow x 2))>
#<alt -1/144>
#<alt (- (* 1/576 x) 1/144)>
#<alt (- (* 1/576 x) 1/144)>
#<alt (- (* 1/576 x) 1/144)>
#<alt (* 1/576 x)>
#<alt (* x (- 1/576 (* 1/144 (/ 1 x))))>
#<alt (* x (- 1/576 (* 1/144 (/ 1 x))))>
#<alt (* x (- 1/576 (* 1/144 (/ 1 x))))>
#<alt (* 1/576 x)>
#<alt (* -1 (* x (- (* 1/144 (/ 1 x)) 1/576)))>
#<alt (* -1 (* x (- (* 1/144 (/ 1 x)) 1/576)))>
#<alt (* -1 (* x (- (* 1/144 (/ 1 x)) 1/576)))>

Calls

72 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/ (* (- 1/36 (* (* x x) 1/576)) x) (+ 1/6 (* -1/24 x)))
0.0ms	x	@	-inf	(/ x (/ (- 24 (/ 96 x)) (* x (* x x))))
0.0ms	x	@	inf	(/ (* (- 1/36 (* (* x x) 1/576)) x) (+ 1/6 (* -1/24 x)))
0.0ms	x	@	inf	(/ (/ x (/ 1 (+ 1 (* x (+ 1/2 (/ (* (- 1/36 (* (* x x) 1/576)) x) (+ 1/6 (* -1/24 x)))))))) x)
0.0ms	x	@	0	(/ (/ x (/ (- 24 (/ 96 x)) (* x (* x x)))) x)

rewrite303.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

3358×	`-lowering-.f32`
3358×	`-lowering-.f64`
2272×	`fma-lowering-fma.f32`
2272×	`fma-lowering-fma.f64`
2216×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	48	256
1	312	182
2	2858	174
0	8382	174

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 656

Calls

Call 1

Inputs
(/ (/ x (/ 1 (+ 1 (* x (+ 1/2 (/ (* (- 1/36 (* (* x x) 1/576)) x) (+ 1/6 (* -1/24 x)))))))) x)
(/ x (/ 1 (+ 1 (* x (+ 1/2 (/ (* (- 1/36 (* (* x x) 1/576)) x) (+ 1/6 (* -1/24 x))))))))
(/ 1 (+ 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))))))
(* 1/6 (* x x))
(* x x)
(* x (+ 1/2 (* x (+ 1/6 (* x 1/24)))))
(+ 1/2 (* x (+ 1/6 (* x 1/24))))
(* x (+ 1/6 (* x 1/24)))
(+ 1/6 (* x 1/24))
(/ (/ x (/ (- 24 (/ 96 x)) (* x (* x x)))) x)
(/ x (/ (- 24 (/ 96 x)) (* x (* x x))))
(/ (- 24 (/ 96 x)) (* x (* x x)))
(- 24 (/ 96 x))
(* (+ 1/216 (* x (* (* x x) 1/13824))) (* (/ x (+ 1/36 (* x (* 1/24 (+ (* x 1/24) -1/6))))) x))
(* (/ x (+ 1/36 (* x (* 1/24 (+ (* x 1/24) -1/6))))) x)
(/ x (+ 1/36 (* x (* 1/24 (+ (* x 1/24) -1/6)))))
(+ 1/36 (* x (* 1/24 (+ (* x 1/24) -1/6))))
(/ (* (- 1/36 (* (* x x) 1/576)) x) (+ 1/6 (* -1/24 x)))
(* -1/24 x)
(* x 1/24)
(* x (* x x))
(* (* x x) 1/13824)
(* 1/24 (+ (* x 1/24) -1/6))

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 #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 (-.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 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 (.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 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 #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 (+.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 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 (.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)))))))) (/.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 #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))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (+.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 (+.f64 #s(literal 1/46656 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x 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 (+.f64 #s(literal 1/46656 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)) #s(literal -1/191102976 binary64))) x) (.f64 (-.f64 #s(literal 1/216 binary64) (.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)))) (+.f64 #s(literal 1/36 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/144 binary64))))))
(/.f64 (.f64 (-.f64 #s(literal 1/1296 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 1/331776 binary64))) x) (.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)))))
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(/.f64 (.f64 (+.f64 #s(literal 1/10077696 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)) #s(literal 1/2641807540224 binary64)))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1/46656 binary64) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64))) (+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64))) #s(literal -1/216 binary64)))) (/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/576 binary64)) #s(literal -1/144 binary64)))) x)))
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(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64))))) (+.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x #s(literal 1/6 binary64))) (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/576 binary64)))) (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 (.f64 x x) #s(literal 1/24 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x #s(literal 1/6 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/576 binary64))))) (-.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 (.f64 x x) #s(literal 1/24 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)))) x) (+.f64 #s(literal 1/36 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/576 binary64)) #s(literal -1/144 binary64)))))
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(/.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)))) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/576 binary64)) #s(literal -1/144 binary64)))) x))
(/.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)))) (-.f64 #s(literal 0 binary64) x)) (+.f64 (neg.f64 (.f64 x (+.f64 (.f64 x #s(literal 1/576 binary64)) #s(literal -1/144 binary64)))) #s(literal -1/36 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1/46656 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)) #s(literal -1/191102976 binary64))) (/.f64 x (+.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)))))))
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(/.f64 (.f64 (+.f64 #s(literal 1/10077696 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)) #s(literal 1/2641807540224 binary64)))) (/.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/576 binary64)) #s(literal -1/144 binary64)))))) (+.f64 #s(literal 1/46656 binary64) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64))) (+.f64 (.f64 x (.f64 (*.f64 x x) #s(literal 1/13824 binary64))) #s(literal -1/216 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal 1/46656 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)) #s(literal -1/191102976 binary64))) (/.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/576 binary64)) #s(literal -1/144 binary64)))))) (-.f64 #s(literal 1/216 binary64) (.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)))))
(pow.f64 (/.f64 #s(literal 1 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 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) #s(literal 1 binary64)) #s(literal -1 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 1/6 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 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))))
(.f64 (.f64 x (+.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 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) x)
(.f64 (+.f64 #s(literal 1/216 binary64) (.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)))) (/.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/576 binary64)) #s(literal -1/144 binary64))))))
(.f64 (/.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/576 binary64)) #s(literal -1/144 binary64))))) (+.f64 #s(literal 1/216 binary64) (.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)))))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 x (+.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 binary64) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))) (.f64 x (+.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 x (+.f64 #s(literal 1/36 binary64) (.f64 (*.f64 x x) #s(literal -1/576 binary64))))) #s(literal -1 binary64)))
(.f64 (/.f64 x (+.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 (+.f64 #s(literal 1/216 binary64) (.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)))) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/144 binary64))))))
(.f64 (/.f64 (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64)))) (+.f64 #s(literal 1/216 binary64) (.f64 x (.f64 (.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 x (+.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 x #s(literal -1/24 binary64))
(*.f64 #s(literal -1/24 binary64) x)
(*.f64 x #s(literal 1/24 binary64))
(*.f64 #s(literal 1/24 binary64) x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(/.f64 (.f64 x (.f64 x x)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) #s(literal -1 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(.f64 x (.f64 x x))
(.f64 (.f64 x x) x)
(.f64 (.f64 x (*.f64 x x)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 x (.f64 x #s(literal 1/13824 binary64)))
(.f64 (.f64 x x) #s(literal 1/13824 binary64))
(.f64 #s(literal 1/13824 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/13824 binary64)) x)
(+.f64 (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/144 binary64))
(+.f64 #s(literal -1/144 binary64) (*.f64 x #s(literal 1/576 binary64)))
(fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64))
(fma.f64 #s(literal 1/576 binary64) x #s(literal -1/144 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/144 binary64))
(fma.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/24 binary64) #s(literal -1/144 binary64))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/191102976 binary64)) #s(literal -1/2985984 binary64)) (+.f64 (.f64 (.f64 x #s(literal 1/576 binary64)) (.f64 x #s(literal 1/576 binary64))) (-.f64 #s(literal 1/20736 binary64) (.f64 (.f64 x #s(literal 1/576 binary64)) #s(literal -1/144 binary64)))))
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(/.f64 (.f64 #s(literal 1/24 binary64) (+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64))) #s(literal -1/216 binary64))) (+.f64 (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal -1/144 binary64))) (.f64 x (*.f64 x #s(literal 1/576 binary64)))))
(/.f64 (.f64 #s(literal 1/24 binary64) (+.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 (.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64))) #s(literal -1/216 binary64)) #s(literal 1/24 binary64)) (+.f64 (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal -1/144 binary64))) (.f64 x (*.f64 x #s(literal 1/576 binary64)))))
(/.f64 (.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal -1/36 binary64)) #s(literal 1/24 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))
(.f64 #s(literal 1/24 binary64) (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)))
(.f64 (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)) #s(literal 1/24 binary64))

simplify493.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

4722×	`-lowering-.f32`
4722×	`-lowering-.f64`
2750×	`+-lowering-+.f64`
2750×	`+-lowering-+.f32`
1808×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	294	2159
1	934	2058
2	2678	1932
0	8357	1932

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)
(* 1/2 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
(+ 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))))
(* -1/96 (pow x 4))
(* (pow x 4) (- (* -1/384 x) 1/96))
(* (pow x 4) (- (* x (- (* -1/1536 x) 1/384)) 1/96))
(* (pow x 4) (- (* x (- (* x (- (* -1/6144 x) 1/1536)) 1/384)) 1/96))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (+ (/ 2/3 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 3) (+ 1/24 (+ (/ 2/3 (pow x 2)) (+ (* 1/6 (/ 1 x)) (* 8/3 (/ 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 (* 2/3 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 2/3 (/ 1 x)) (/ 8/3 (pow x 2)))) x)) 1/24)))
(* -1/96 (pow x 5))
(* (pow x 5) (- (* -1/384 x) 1/96))
(* (pow x 5) (- (* x (- (* -1/1536 x) 1/384)) 1/96))
(* (pow x 5) (- (* x (- (* x (- (* -1/6144 x) 1/1536)) 1/384)) 1/96))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (+ 1/24 (+ (/ 2/3 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 4) (+ 1/24 (+ (/ 2/3 (pow x 2)) (+ (* 1/6 (/ 1 x)) (* 8/3 (/ 1 (pow x 3)))))))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (+ 1/24 (+ (/ 2/3 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 2/3 (* 8/3 (/ 1 x))) x)) 1/6) x))))
(/ -96 (pow x 4))
(/ (- (* 24 x) 96) (pow x 4))
(/ (- (* 24 x) 96) (pow x 4))
(/ (- (* 24 x) 96) (pow x 4))
(/ 24 (pow x 3))
(/ (- 24 (* 96 (/ 1 x))) (pow x 3))
(/ (- 24 (* 96 (/ 1 x))) (pow x 3))
(/ (- 24 (* 96 (/ 1 x))) (pow x 3))
(/ 24 (pow x 3))
(* -1 (/ (- (* 96 (/ 1 x)) 24) (pow x 3)))
(* -1 (/ (- (* 96 (/ 1 x)) 24) (pow x 3)))
(* -1 (/ (- (* 96 (/ 1 x)) 24) (pow x 3)))
(/ -96 x)
(/ (- (* 24 x) 96) x)
(/ (- (* 24 x) 96) x)
(/ (- (* 24 x) 96) x)
24
(- 24 (* 96 (/ 1 x)))
(- 24 (* 96 (/ 1 x)))
(- 24 (* 96 (/ 1 x)))
24
(- 24 (* 96 (/ 1 x)))
(- 24 (* 96 (/ 1 x)))
(- 24 (* 96 (/ 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))))
(* 36 (pow x 2))
(* (pow x 2) (+ 36 (* 9 x)))
(* (pow x 2) (+ 36 (* x (+ 9 (* -9/16 (pow x 2))))))
(* (pow x 2) (+ 36 (* x (+ 9 (* (pow x 2) (- (* -9/64 x) 9/16))))))
576
(+ 576 (* 2304 (/ 1 x)))
(- (+ 576 (* 2304 (/ 1 x))) (/ 36864 (pow x 3)))
(+ 576 (+ (* -1 (/ (+ 36864 (* 147456 (/ 1 x))) (pow x 3))) (* 2304 (/ 1 x))))
576
(+ 576 (* 2304 (/ 1 x)))
(+ 576 (* -1 (/ (- (* 36864 (/ 1 (pow x 2))) 2304) x)))
(+ 576 (* -1 (/ (- (+ (* 36864 (/ 1 (pow x 2))) (/ 147456 (pow x 3))) 2304) x)))
(* 36 x)
(* x (+ 36 (* 9 x)))
(* x (+ 36 (* x (+ 9 (* -9/16 (pow x 2))))))
(* x (+ 36 (* x (+ 9 (* (pow x 2) (- (* -9/64 x) 9/16))))))
(/ 576 x)
(/ (+ 576 (* 2304 (/ 1 x))) x)
(/ (- (+ 576 (* 2304 (/ 1 x))) (/ 36864 (pow x 3))) x)
(/ (+ 576 (+ (* -1 (/ (+ 36864 (* 147456 (/ 1 x))) (pow x 3))) (* 2304 (/ 1 x)))) x)
(/ 576 x)
(/ (+ 576 (* 2304 (/ 1 x))) x)
(* -1 (/ (- (* -1 (/ (- 2304 (* 36864 (/ 1 (pow x 2)))) x)) 576) x))
(* -1 (/ (- (* -1 (/ (+ 2304 (* -1 (/ (+ 36864 (* 147456 (/ 1 x))) (pow x 2)))) x)) 576) x))
1/36
(+ 1/36 (* -1/144 x))
(+ 1/36 (* x (- (* 1/576 x) 1/144)))
(+ 1/36 (* x (- (* 1/576 x) 1/144)))
(* 1/576 (pow x 2))
(* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))
(* (pow x 2) (- (+ 1/576 (/ 1/36 (pow x 2))) (* 1/144 (/ 1 x))))
(* (pow x 2) (- (+ 1/576 (/ 1/36 (pow x 2))) (* 1/144 (/ 1 x))))
(* 1/576 (pow x 2))
(* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))
(* (pow x 2) (+ 1/576 (* -1 (/ (- 1/144 (* 1/36 (/ 1 x))) x))))
(* (pow x 2) (+ 1/576 (* -1 (/ (- 1/144 (* 1/36 (/ 1 x))) 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)
(* 1/24 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)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* 1/13824 (pow x 2))
(* 1/13824 (pow x 2))
(* 1/13824 (pow x 2))
(* 1/13824 (pow x 2))
(* 1/13824 (pow x 2))
(* 1/13824 (pow x 2))
(* 1/13824 (pow x 2))
(* 1/13824 (pow x 2))
(* 1/13824 (pow x 2))
(* 1/13824 (pow x 2))
(* 1/13824 (pow x 2))
(* 1/13824 (pow x 2))
-1/144
(- (* 1/576 x) 1/144)
(- (* 1/576 x) 1/144)
(- (* 1/576 x) 1/144)
(* 1/576 x)
(* x (- 1/576 (* 1/144 (/ 1 x))))
(* x (- 1/576 (* 1/144 (/ 1 x))))
(* x (- 1/576 (* 1/144 (/ 1 x))))
(* 1/576 x)
(* -1 (* x (- (* 1/144 (/ 1 x)) 1/576)))
(* -1 (* x (- (* 1/144 (/ 1 x)) 1/576)))
(* -1 (* x (- (* 1/144 (/ 1 x)) 1/576)))

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 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 #s(literal 1/24 binary64) (.f64 x (*.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 #s(literal 0 binary64) (.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 #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)) (-.f64 #s(literal 0 binary64) (.f64 x (.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))))))))
(* 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 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) (+.f64 #s(literal 1/24 binary64) (/.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 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.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 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) (+.f64 #s(literal 1/24 binary64) (/.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 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1/6 binary64)) 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 (+.f64 (/.f64 #s(literal 96 binary64) x) #s(literal -96 binary64)) x) (+.f64 #s(literal 24 binary64) (/.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 #s(literal -1 binary64) (+.f64 #s(literal 96 binary64) (/.f64 #s(literal -96 binary64) x))) x)) (.f64 x (*.f64 x x)))
(* -1 (/ (- (* -1 (/ (- (+ (* 96 (/ 1 x)) (/ 192 (pow x 2))) 96) x)) 24) (pow x 3)))
(/.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)) (-.f64 #s(literal 0 binary64) (.f64 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 #s(literal 1/24 binary64) (.f64 x (*.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 #s(literal 1/24 binary64) (.f64 x (*.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 #s(literal 0 binary64) (.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 #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)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 1/2 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 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)))))
(.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))))))
(* 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 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 #s(literal 0 binary64) (.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))) x)) 1/24)))
(-.f64 #s(literal 0 binary64) (.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)))))
1/2
#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 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 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))))
(* 1/24 (pow x 2))
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(*.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))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(* 1/13824 (pow x 2))
(.f64 x (.f64 x #s(literal 1/13824 binary64)))
(* 1/13824 (pow x 2))
(.f64 x (.f64 x #s(literal 1/13824 binary64)))
(* 1/13824 (pow x 2))
(.f64 x (.f64 x #s(literal 1/13824 binary64)))
(* 1/13824 (pow x 2))
(.f64 x (.f64 x #s(literal 1/13824 binary64)))
(* 1/13824 (pow x 2))
(.f64 x (.f64 x #s(literal 1/13824 binary64)))
(* 1/13824 (pow x 2))
(.f64 x (.f64 x #s(literal 1/13824 binary64)))
(* 1/13824 (pow x 2))
(.f64 x (.f64 x #s(literal 1/13824 binary64)))
(* 1/13824 (pow x 2))
(.f64 x (.f64 x #s(literal 1/13824 binary64)))
(* 1/13824 (pow x 2))
(.f64 x (.f64 x #s(literal 1/13824 binary64)))
(* 1/13824 (pow x 2))
(.f64 x (.f64 x #s(literal 1/13824 binary64)))
(* 1/13824 (pow x 2))
(.f64 x (.f64 x #s(literal 1/13824 binary64)))
(* 1/13824 (pow x 2))
(.f64 x (.f64 x #s(literal 1/13824 binary64)))
-1/144
#s(literal -1/144 binary64)
(- (* 1/576 x) 1/144)
(-.f64 #s(literal -1/144 binary64) (*.f64 x #s(literal -1/576 binary64)))
(- (* 1/576 x) 1/144)
(-.f64 #s(literal -1/144 binary64) (*.f64 x #s(literal -1/576 binary64)))
(- (* 1/576 x) 1/144)
(-.f64 #s(literal -1/144 binary64) (*.f64 x #s(literal -1/576 binary64)))
(* 1/576 x)
(*.f64 x #s(literal 1/576 binary64))
(* x (- 1/576 (* 1/144 (/ 1 x))))
(-.f64 #s(literal -1/144 binary64) (*.f64 x #s(literal -1/576 binary64)))
(* x (- 1/576 (* 1/144 (/ 1 x))))
(-.f64 #s(literal -1/144 binary64) (*.f64 x #s(literal -1/576 binary64)))
(* x (- 1/576 (* 1/144 (/ 1 x))))
(-.f64 #s(literal -1/144 binary64) (*.f64 x #s(literal -1/576 binary64)))
(* 1/576 x)
(*.f64 x #s(literal 1/576 binary64))
(* -1 (* x (- (* 1/144 (/ 1 x)) 1/576)))
(-.f64 #s(literal -1/144 binary64) (*.f64 x #s(literal -1/576 binary64)))
(* -1 (* x (- (* 1/144 (/ 1 x)) 1/576)))
(-.f64 #s(literal -1/144 binary64) (*.f64 x #s(literal -1/576 binary64)))
(* -1 (* x (- (* 1/144 (/ 1 x)) 1/576)))
(-.f64 #s(literal -1/144 binary64) (*.f64 x #s(literal -1/576 binary64)))

eval165.0ms (1.6%)

Compiler: Compiled 23630 to 2904 computations (87.7% saved)

prune143.0ms (1.4%)

Pruning

24 alts after pruning (18 fresh and 6 done)

	Pruned	Kept	Total
New	1014	10	1024
Fresh	14	8	22
Picked	4	1	5
Done	2	5	7
Total	1034	24	1058

Accuracy

100.0%

Counts

1058 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	4.4%	(/.f64 (/.f64 x (/.f64 (-.f64 (.f64 (/.f64 #s(literal 24 binary64) x) (.f64 (.f64 x (.f64 x x)) x)) (.f64 (.f64 x x) #s(literal 96 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x (*.f64 x x)) x)))) x)
	4.6%	(/.f64 (/.f64 x (/.f64 (-.f64 (.f64 #s(literal 24 binary64) (.f64 (.f64 x (.f64 x x)) x)) (.f64 (.f64 x (.f64 x x)) #s(literal 96 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) x)))) x)
	22.5%	(/.f64 (/.f64 x (/.f64 #s(literal 24 binary64) (.f64 x (.f64 x x)))) x)
	22.5%	(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64)))))) x)
	47.9%	(/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/12 binary64)))))) x)
	50.4%	(/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) x)
	47.3%	(/.f64 (.f64 (-.f64 #s(literal 1 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 (+.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))))) #s(literal 1 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)))))))))
	2.8%	(/.f64 (.f64 (+.f64 #s(literal 1/10077696 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)) #s(literal 1/2641807540224 binary64)))) (.f64 x x)) (.f64 (+.f64 #s(literal 1/46656 binary64) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64))) (+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64))) #s(literal -1/216 binary64)))) (+.f64 #s(literal 1/36 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/144 binary64))))))
	20.2%	(/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -96 binary64) x)))
✓	100.0%	(/.f64 (expm1.f64 x) x)
	48.9%	(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x)) (.f64 x (.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 #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 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))) x) (-.f64 #s(literal 1/8 binary64) (.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x)) (.f64 x (.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 1/4 binary64) (.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)))) #s(literal -1/2 binary64))))))
✓	60.9%	(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/6 binary64)))))
✓	47.4%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
	20.2%	(.f64 (/.f64 x (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -96 binary64) x))) (.f64 x x))
	20.7%	(.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (*.f64 x x))
	25.4%	(.f64 (+.f64 #s(literal 1/216 binary64) (.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)))) (*.f64 (/.f64 x #s(literal 1/36 binary64)) x))
	26.3%	(.f64 (+.f64 #s(literal 1/216 binary64) (.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)))) (.f64 (.f64 x (+.f64 #s(literal 36 binary64) (*.f64 x #s(literal 9 binary64)))) x))
	17.2%	(.f64 (.f64 x #s(literal 1/6 binary64)) x)
	20.2%	(.f64 x (/.f64 (.f64 x x) (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -96 binary64) x))))
	20.4%	(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
✓	3.7%	(*.f64 #s(literal 1/2 binary64) x)
✓	17.2%	(.f64 #s(literal 1/6 binary64) (.f64 x x))
	20.4%	(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
✓	47.5%	#s(literal 1 binary64)

Compiler

Compiled 2429 to 605 computations (75.1% saved)

regimes80.0ms (0.8%)

Counts

73 → 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 x (.f64 x #s(literal 1/6 binary64)))
(.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 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 x (/.f64 (.f64 x x) (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -96 binary64) x))))
(.f64 (/.f64 x (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -96 binary64) x))) (.f64 x x))
(/.f64 x (/.f64 #s(literal 1 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 #s(literal 1/24 binary64) (.f64 x (.f64 x x)))) x)
(/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -96 binary64) x)))
(/.f64 (/.f64 x (/.f64 #s(literal 24 binary64) (.f64 x (.f64 x x)))) x)
(/.f64 (/.f64 x (/.f64 (/.f64 #s(literal 24 binary64) (*.f64 x 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 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64)))))) x)
(/.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x (.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 (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64)))))) x)
(.f64 (+.f64 #s(literal 1/216 binary64) (.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)))) (*.f64 (/.f64 x #s(literal 1/36 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 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))) (.f64 #s(literal 1/24 binary64) (.f64 x x)))))
(+.f64 #s(literal 1 binary64) (/.f64 x (/.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))))))))
(/.f64 (/.f64 x (/.f64 (-.f64 #s(literal 24 binary64) (/.f64 #s(literal 96 binary64) x)) (.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 binary64) (/.f64 #s(literal 1 binary64) (+.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)))))))) x)
(/.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 #s(literal -1/24 binary64) x)))
(.f64 (+.f64 #s(literal 1/216 binary64) (.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)))) (.f64 (.f64 x (+.f64 #s(literal 36 binary64) (*.f64 x #s(literal 9 binary64)))) x))
(/.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 (/.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 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x)) x))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x)) (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (*.f64 x x) #s(literal 1/576 binary64))) x))))))
(.f64 (+.f64 #s(literal 1/216 binary64) (.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)))) (.f64 (/.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 #s(literal 1/24 binary64) (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)))))) x))
(/.f64 (/.f64 x (/.f64 #s(literal 1 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)))))))) x)
(+.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 #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 #s(literal 1/216 binary64) (.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)))) (.f64 x (.f64 x x))) (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 #s(literal 1/24 binary64) (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)))))) x)
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.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 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 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 #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 #s(literal 1 binary64) (/.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 1/4 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 (/.f64 x (/.f64 (-.f64 (.f64 (/.f64 #s(literal 24 binary64) x) (.f64 (.f64 x (.f64 x x)) x)) (.f64 (.f64 x x) #s(literal 96 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x (*.f64 x x)) x)))) x)
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/13824 binary64) (/.f64 #s(literal 1/216 binary64) (.f64 x (.f64 x 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 x (/.f64 (-.f64 (.f64 #s(literal 24 binary64) (.f64 (.f64 x (.f64 x x)) x)) (.f64 (.f64 x (.f64 x x)) #s(literal 96 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) x)))) 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 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/576 binary64)))))) x) (+.f64 #s(literal 1/4 binary64) (.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)))) #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 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (+.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 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x))))) x) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 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 (+.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 #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 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.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 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (+.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 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x))))) x) (+.f64 #s(literal 1/4 binary64) (.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)))) #s(literal -1/2 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (+.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 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.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)))) #s(literal -1/2 binary64))))))))
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.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))))))))))) x)
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.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))))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) (.f64 x (.f64 x x))) (.f64 #s(literal 1/216 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) (*.f64 x #s(literal 1/6 binary64)))))))))
(/.f64 (.f64 (+.f64 #s(literal 1/10077696 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)) #s(literal 1/2641807540224 binary64)))) (.f64 x x)) (.f64 (+.f64 #s(literal 1/46656 binary64) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64))) (+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64))) #s(literal -1/216 binary64)))) (+.f64 #s(literal 1/36 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/144 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (+.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 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x))))) (+.f64 (.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))) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (.f64 (+.f64 #s(literal 1/10077696 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1/2641807540224 binary64))) x) (+.f64 #s(literal 1/46656 binary64) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64))) (+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64))) #s(literal -1/216 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 (.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 #s(literal 1 binary64) (.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (+.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 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x)))) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (-.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 #s(literal 1/2 binary64)) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (*.f64 x x))))))))
(/.f64 (.f64 (-.f64 #s(literal 1 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 (+.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))))) #s(literal 1 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 binary64) (/.f64 (/.f64 (.f64 (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x)) (.f64 x (.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 #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 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))) x) (-.f64 #s(literal 1/8 binary64) (.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x)) (.f64 x (.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 1/4 binary64) (.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)))) #s(literal -1/2 binary64))))))
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

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

Calls

2 calls:

23.0ms	x
20.0ms	(/.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)

regimes40.0ms (0.4%)

Counts

71 → 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 x (.f64 x #s(literal 1/6 binary64)))
(.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 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 x (/.f64 (.f64 x x) (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -96 binary64) x))))
(.f64 (/.f64 x (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -96 binary64) x))) (.f64 x x))
(/.f64 x (/.f64 #s(literal 1 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 #s(literal 1/24 binary64) (.f64 x (.f64 x x)))) x)
(/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -96 binary64) x)))
(/.f64 (/.f64 x (/.f64 #s(literal 24 binary64) (.f64 x (.f64 x x)))) x)
(/.f64 (/.f64 x (/.f64 (/.f64 #s(literal 24 binary64) (*.f64 x 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 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64)))))) x)
(/.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x (.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 (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64)))))) x)
(.f64 (+.f64 #s(literal 1/216 binary64) (.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)))) (*.f64 (/.f64 x #s(literal 1/36 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 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))) (.f64 #s(literal 1/24 binary64) (.f64 x x)))))
(+.f64 #s(literal 1 binary64) (/.f64 x (/.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))))))))
(/.f64 (/.f64 x (/.f64 (-.f64 #s(literal 24 binary64) (/.f64 #s(literal 96 binary64) x)) (.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 binary64) (/.f64 #s(literal 1 binary64) (+.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)))))))) x)
(/.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 #s(literal -1/24 binary64) x)))
(.f64 (+.f64 #s(literal 1/216 binary64) (.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)))) (.f64 (.f64 x (+.f64 #s(literal 36 binary64) (*.f64 x #s(literal 9 binary64)))) x))
(/.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 (/.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 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x)) x))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x)) (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (*.f64 x x) #s(literal 1/576 binary64))) x))))))
(.f64 (+.f64 #s(literal 1/216 binary64) (.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)))) (.f64 (/.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 #s(literal 1/24 binary64) (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)))))) x))
(/.f64 (/.f64 x (/.f64 #s(literal 1 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)))))))) x)
(+.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 #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 #s(literal 1/216 binary64) (.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)))) (.f64 x (.f64 x x))) (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 #s(literal 1/24 binary64) (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)))))) x)
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.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 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 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 #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 #s(literal 1 binary64) (/.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 1/4 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 (/.f64 x (/.f64 (-.f64 (.f64 (/.f64 #s(literal 24 binary64) x) (.f64 (.f64 x (.f64 x x)) x)) (.f64 (.f64 x x) #s(literal 96 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x (*.f64 x x)) x)))) x)
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/13824 binary64) (/.f64 #s(literal 1/216 binary64) (.f64 x (.f64 x 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 x (/.f64 (-.f64 (.f64 #s(literal 24 binary64) (.f64 (.f64 x (.f64 x x)) x)) (.f64 (.f64 x (.f64 x x)) #s(literal 96 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) x)))) 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 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/576 binary64)))))) x) (+.f64 #s(literal 1/4 binary64) (.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)))) #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 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (+.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 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x))))) x) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 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 (+.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 #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 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.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 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (+.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 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x))))) x) (+.f64 #s(literal 1/4 binary64) (.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)))) #s(literal -1/2 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (+.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 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.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)))) #s(literal -1/2 binary64))))))))
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.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))))))))))) x)
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.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))))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) (.f64 x (.f64 x x))) (.f64 #s(literal 1/216 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) (*.f64 x #s(literal 1/6 binary64)))))))))
(/.f64 (.f64 (+.f64 #s(literal 1/10077696 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)) #s(literal 1/2641807540224 binary64)))) (.f64 x x)) (.f64 (+.f64 #s(literal 1/46656 binary64) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64))) (+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64))) #s(literal -1/216 binary64)))) (+.f64 #s(literal 1/36 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/144 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (+.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 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x))))) (+.f64 (.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))) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (.f64 (+.f64 #s(literal 1/10077696 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1/2641807540224 binary64))) x) (+.f64 #s(literal 1/46656 binary64) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64))) (+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64))) #s(literal -1/216 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 (.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 #s(literal 1 binary64) (.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (+.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 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x)))) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (-.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 #s(literal 1/2 binary64)) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (*.f64 x x))))))))
(/.f64 (.f64 (-.f64 #s(literal 1 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 (+.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))))) #s(literal 1 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 binary64) (/.f64 (/.f64 (.f64 (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x)) (.f64 x (.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 #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 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))) x) (-.f64 #s(literal 1/8 binary64) (.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x)) (.f64 x (.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 1/4 binary64) (.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)))) #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 #s(literal 1/64 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))) (*.f64 x x)) (*.f64 x (*.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 #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 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) x) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))) (*.f64 x x)) (*.f64 x (*.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 1/4 binary64) (*.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)))) #s(literal -1/2 binary64))))))

(*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/13824 binary64)))) (*.f64 (*.f64 x (+.f64 #s(literal 36 binary64) (*.f64 x #s(literal 9 binary64)))) x))

Calls

1 calls:

19.0ms

Results

Accuracy	Segments	Branch
76.9%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes32.0ms (0.3%)

Counts

70 → 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 x (.f64 x #s(literal 1/6 binary64)))
(.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 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 x (/.f64 (.f64 x x) (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -96 binary64) x))))
(.f64 (/.f64 x (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -96 binary64) x))) (.f64 x x))
(/.f64 x (/.f64 #s(literal 1 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 #s(literal 1/24 binary64) (.f64 x (.f64 x x)))) x)
(/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -96 binary64) x)))
(/.f64 (/.f64 x (/.f64 #s(literal 24 binary64) (.f64 x (.f64 x x)))) x)
(/.f64 (/.f64 x (/.f64 (/.f64 #s(literal 24 binary64) (*.f64 x 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 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64)))))) x)
(/.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x (.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 (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64)))))) x)
(.f64 (+.f64 #s(literal 1/216 binary64) (.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)))) (*.f64 (/.f64 x #s(literal 1/36 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 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))) (.f64 #s(literal 1/24 binary64) (.f64 x x)))))
(+.f64 #s(literal 1 binary64) (/.f64 x (/.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))))))))
(/.f64 (/.f64 x (/.f64 (-.f64 #s(literal 24 binary64) (/.f64 #s(literal 96 binary64) x)) (.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 binary64) (/.f64 #s(literal 1 binary64) (+.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)))))))) x)
(/.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 #s(literal -1/24 binary64) x)))
(.f64 (+.f64 #s(literal 1/216 binary64) (.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)))) (.f64 (.f64 x (+.f64 #s(literal 36 binary64) (*.f64 x #s(literal 9 binary64)))) x))
(/.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))
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(/.f64 (/.f64 x (/.f64 (-.f64 (.f64 (/.f64 #s(literal 24 binary64) x) (.f64 (.f64 x (.f64 x x)) x)) (.f64 (.f64 x x) #s(literal 96 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x (*.f64 x x)) x)))) x)
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(/.f64 (/.f64 x (/.f64 (-.f64 (.f64 #s(literal 24 binary64) (.f64 (.f64 x (.f64 x x)) x)) (.f64 (.f64 x (.f64 x x)) #s(literal 96 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) x)))) 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 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/576 binary64)))))) x) (+.f64 #s(literal 1/4 binary64) (.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)))) #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 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (+.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 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x))))) x) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 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 (+.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 #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 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.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 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (+.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 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x))))) x) (+.f64 #s(literal 1/4 binary64) (.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)))) #s(literal -1/2 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (+.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 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.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)))) #s(literal -1/2 binary64))))))))
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.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))))))))))) x)
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.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))))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) (.f64 x (.f64 x x))) (.f64 #s(literal 1/216 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) (*.f64 x #s(literal 1/6 binary64)))))))))
(/.f64 (.f64 (+.f64 #s(literal 1/10077696 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)) #s(literal 1/2641807540224 binary64)))) (.f64 x x)) (.f64 (+.f64 #s(literal 1/46656 binary64) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64))) (+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64))) #s(literal -1/216 binary64)))) (+.f64 #s(literal 1/36 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/144 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (+.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 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x))))) (+.f64 (.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))) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (.f64 (+.f64 #s(literal 1/10077696 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1/2641807540224 binary64))) x) (+.f64 #s(literal 1/46656 binary64) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64))) (+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64))) #s(literal -1/216 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 (.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 #s(literal 1 binary64) (.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (+.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 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x)))) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (-.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 #s(literal 1/2 binary64)) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (*.f64 x x))))))))
(/.f64 (.f64 (-.f64 #s(literal 1 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 (+.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))))) #s(literal 1 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)))))))))

Outputs

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

(/.f64 (*.f64 (-.f64 #s(literal 1 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 (+.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))))) #s(literal 1 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 #s(literal 1/216 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/13824 binary64)))) (*.f64 (*.f64 x (+.f64 #s(literal 36 binary64) (*.f64 x #s(literal 9 binary64)))) x))

Calls

1 calls:

19.0ms

Results

Accuracy	Segments	Branch
75.4%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes25.0ms (0.2%)

Counts

69 → 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 x (.f64 x #s(literal 1/6 binary64)))
(.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 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 x (/.f64 (.f64 x x) (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -96 binary64) x))))
(.f64 (/.f64 x (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -96 binary64) x))) (.f64 x x))
(/.f64 x (/.f64 #s(literal 1 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 #s(literal 1/24 binary64) (.f64 x (.f64 x x)))) x)
(/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -96 binary64) x)))
(/.f64 (/.f64 x (/.f64 #s(literal 24 binary64) (.f64 x (.f64 x x)))) x)
(/.f64 (/.f64 x (/.f64 (/.f64 #s(literal 24 binary64) (*.f64 x 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 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64)))))) x)
(/.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x (.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 (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64)))))) x)
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(/.f64 (/.f64 x (/.f64 (-.f64 (.f64 (/.f64 #s(literal 24 binary64) x) (.f64 (.f64 x (.f64 x x)) x)) (.f64 (.f64 x x) #s(literal 96 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x (*.f64 x x)) x)))) x)
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(/.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 (+.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 #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 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.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 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (+.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 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x))))) x) (+.f64 #s(literal 1/4 binary64) (.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)))) #s(literal -1/2 binary64))))))
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(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.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))))))))))) x)
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.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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(/.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 #s(literal 1 binary64) (.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (+.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 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x)))) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (-.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 #s(literal 1/2 binary64)) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (*.f64 x x))))))))

Outputs

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

(*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/13824 binary64)))) (*.f64 (*.f64 x (+.f64 #s(literal 36 binary64) (*.f64 x #s(literal 9 binary64)))) x))

Calls

1 calls:

20.0ms

Results

Accuracy	Segments	Branch
73.9%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes14.0ms (0.1%)

Counts

34 → 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 x (.f64 x #s(literal 1/6 binary64)))
(.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 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 x (/.f64 (.f64 x x) (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -96 binary64) x))))
(.f64 (/.f64 x (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -96 binary64) x))) (.f64 x x))
(/.f64 x (/.f64 #s(literal 1 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 #s(literal 1/24 binary64) (.f64 x (.f64 x x)))) x)
(/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -96 binary64) x)))
(/.f64 (/.f64 x (/.f64 #s(literal 24 binary64) (.f64 x (.f64 x x)))) x)
(/.f64 (/.f64 x (/.f64 (/.f64 #s(literal 24 binary64) (*.f64 x 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 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64)))))) x)
(/.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x (.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 (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64)))))) x)
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(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 x (/.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 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))) (.f64 #s(literal 1/24 binary64) (.f64 x x)))))
(+.f64 #s(literal 1 binary64) (/.f64 x (/.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))))))))
(/.f64 (/.f64 x (/.f64 (-.f64 #s(literal 24 binary64) (/.f64 #s(literal 96 binary64) x)) (.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 binary64) (/.f64 #s(literal 1 binary64) (+.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)))))))) x)
(/.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 #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 #s(literal 1/216 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/13824 binary64)))) (*.f64 (/.f64 x #s(literal 1/36 binary64)) x))

Calls

1 calls:

12.0ms

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 x (.f64 x #s(literal 1/6 binary64)))
(.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 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 x (/.f64 (.f64 x x) (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -96 binary64) x))))
(.f64 (/.f64 x (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -96 binary64) x))) (.f64 x x))
(/.f64 x (/.f64 #s(literal 1 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 #s(literal 1/24 binary64) (.f64 x (.f64 x x)))) x)
(/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -96 binary64) x)))
(/.f64 (/.f64 x (/.f64 #s(literal 24 binary64) (.f64 x (.f64 x x)))) x)
(/.f64 (/.f64 x (/.f64 (/.f64 #s(literal 24 binary64) (*.f64 x 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 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64)))))) x)
(/.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x (.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 (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.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 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x (.f64 x x))) x)

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
70.8%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes10.0ms (0.1%)

Counts

23 → 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 x (.f64 x #s(literal 1/6 binary64)))
(.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 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 x (/.f64 (.f64 x x) (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -96 binary64) x))))
(.f64 (/.f64 x (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -96 binary64) x))) (.f64 x x))
(/.f64 x (/.f64 #s(literal 1 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 #s(literal 1/24 binary64) (.f64 x (.f64 x x)))) x)
(/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -96 binary64) x)))
(/.f64 (/.f64 x (/.f64 #s(literal 24 binary64) (.f64 x (.f64 x x)))) x)
(/.f64 (/.f64 x (/.f64 (/.f64 #s(literal 24 binary64) (*.f64 x 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 #s(literal 1 binary64) (.f64 x (.f64 x (.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 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64)))))) x)

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
70.8%	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 x (.f64 x #s(literal 1/6 binary64)))
(.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 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 x (/.f64 (.f64 x x) (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -96 binary64) x))))
(.f64 (/.f64 x (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -96 binary64) x))) (.f64 x x))
(/.f64 x (/.f64 #s(literal 1 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 #s(literal 1/24 binary64) (.f64 x (.f64 x x)))) x)
(/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -96 binary64) x)))
(/.f64 (/.f64 x (/.f64 #s(literal 24 binary64) (.f64 x (.f64 x x)))) x)
(/.f64 (/.f64 x (/.f64 (/.f64 #s(literal 24 binary64) (*.f64 x 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 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x)))) x)

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
70.8%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0.1%)

Counts

16 → 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 x (.f64 x #s(literal 1/6 binary64)))
(.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 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 x (/.f64 (.f64 x x) (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -96 binary64) x))))
(.f64 (/.f64 x (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -96 binary64) x))) (.f64 x x))
(/.f64 x (/.f64 #s(literal 1 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 (.f64 x x) (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -96 binary64) x))))

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
68.7%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

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

4.0ms

Results

Accuracy	Segments	Branch
68.7%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

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 x (.f64 x #s(literal 1/6 binary64)))
(.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 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
68.7%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

Counts

11 → 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 x (.f64 x #s(literal 1/6 binary64)))
(.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 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 x (*.f64 x #s(literal 1/24 binary64)))))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
64.0%	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 x (.f64 x #s(literal 1/6 binary64)))
(.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 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
65.1%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

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

3.0ms

Results

Accuracy	Segments	Branch
65.1%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

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

3.0ms

Results

Accuracy	Segments	Branch
61.0%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total -28.4b remaining (-84.5%)

Threshold costs -28.4b (-84.5%)

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
47.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch24.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
4.0ms	3.327064837603779e+51	5.976418221204561e+54
18.0ms	-10.593795919954236	-5.812241477781687e-9

Results

9.0ms

192×

valid

Compiler

Compiled 1385 to 485 computations (65% saved)

Precisions

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

ival-div: 2.0ms (41.6% of total)

ival-exp: 2.0ms (41.6% of total)

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

const: 0.0ms (0% of total)

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

bsearch39.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
24.0ms	8.15856976354348e+29	4.460917199319464e+37
12.0ms	-10.593795919954236	-5.812241477781687e-9

Results

26.0ms

288×

valid

Compiler

Compiled 1973 to 593 computations (69.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-exp: 3.0ms (44.3% of total)

ival-sub: 2.0ms (29.6% of total)

ival-div: 2.0ms (29.6% 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
11.0ms	0.012484588304161466	254.83615088993588

Results

6.0ms

128×

valid

Compiler

Compiled 267 to 192 computations (28.1% saved)

Precisions

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

ival-sub: 1.0ms (31% of total)

ival-div: 1.0ms (31% of total)

ival-exp: 1.0ms (31% 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	0.012484588304161466	254.83615088993588

Results

7.0ms

128×

valid

Compiler

Compiled 235 to 168 computations (28.5% saved)

Precisions

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

ival-sub: 1.0ms (30.8% of total)

ival-div: 1.0ms (30.8% of total)

ival-exp: 1.0ms (30.8% 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	0.012484588304161466	254.83615088993588

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 (30.9% of total)

ival-div: 1.0ms (30.9% of total)

ival-exp: 1.0ms (30.9% 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	0.012484588304161466	254.83615088993588

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 (31.1% of total)

ival-div: 1.0ms (31.1% of total)

ival-exp: 1.0ms (31.1% 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	0.012484588304161466	254.83615088993588

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 (31% of total)

ival-div: 1.0ms (31% of total)

ival-exp: 1.0ms (31% 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	0.012484588304161466	254.83615088993588

Results

9.0ms

128×

valid

Compiler

Compiled 203 to 144 computations (29.1% saved)

Precisions

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

ival-exp: 4.0ms (69.2% of total)

ival-sub: 1.0ms (17.3% of total)

ival-div: 1.0ms (17.3% 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
11.0ms	0.012484588304161466	254.83615088993588

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 (30.9% of total)

ival-div: 1.0ms (30.9% of total)

ival-exp: 1.0ms (30.9% 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	0.012484588304161466	254.83615088993588

Results

8.0ms

128×

valid

Compiler

Compiled 187 to 136 computations (27.3% saved)

Precisions

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

ival-exp: 4.0ms (72.7% of total)

ival-sub: 1.0ms (18.2% of total)

ival-div: 1.0ms (18.2% 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
14.0ms	0.012484588304161466	254.83615088993588

Results

6.0ms

128×

valid

Compiler

Compiled 123 to 96 computations (22% saved)

Precisions

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

ival-sub: 1.0ms (31.2% of total)

ival-div: 1.0ms (31.2% of total)

ival-exp: 1.0ms (31.2% 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	0.012484588304161466	254.83615088993588

Results

6.0ms

128×

valid

Compiler

Compiled 107 to 80 computations (25.2% saved)

Precisions

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

ival-sub: 1.0ms (31.5% of total)

ival-div: 1.0ms (31.5% of total)

ival-exp: 1.0ms (31.5% of total)

const: 0.0ms (0% of total)

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

bsearch32.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
31.0ms	0.012484588304161466	254.83615088993588

Results

27.0ms

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 (31% of total)

ival-div: 1.0ms (31% of total)

ival-exp: 1.0ms (31% of total)

const: 0.0ms (0% of total)

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

simplify30.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

110×	`*-commutative_binary64`
72×	`+-commutative_binary64`
54×	`distribute-lft-neg-in_binary64`
54×	`distribute-rgt-neg-in_binary64`
50×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	516
1	189	516
2	241	516
3	293	516
4	344	516
5	364	516
6	372	516
7	373	516

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (expm1.f64 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) (if (<=.f64 x #s(literal 4999999999999999966104743371808139882308542209720320 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x)) (.f64 x (.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 #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 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))) x) (-.f64 #s(literal 1/8 binary64) (.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x)) (.f64 x (.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 1/4 binary64) (.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)))) #s(literal -1/2 binary64)))))) (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)))) (.f64 (.f64 x (+.f64 #s(literal 36 binary64) (*.f64 x #s(literal 9 binary64)))) 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) (if (<=.f64 x #s(literal 49999999999999998431683053958987776 binary64)) (/.f64 (.f64 (-.f64 #s(literal 1 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 (+.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))))) #s(literal 1 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 #s(literal 1/216 binary64) (.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)))) (.f64 (.f64 x (+.f64 #s(literal 36 binary64) (*.f64 x #s(literal 9 binary64)))) x))))
(if (<=.f64 x #s(literal 7/4 binary64)) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))) x) (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)))) (.f64 (.f64 x (+.f64 #s(literal 36 binary64) (.f64 x #s(literal 9 binary64)))) x)))
(if (<=.f64 x #s(literal 8106479329266893/4503599627370496 binary64)) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))) x) (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)))) (.f64 (/.f64 x #s(literal 1/36 binary64)) x)))
(if (<=.f64 x #s(literal 8106479329266893/4503599627370496 binary64)) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))) x) (/.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x (*.f64 x x))) x))
(if (<=.f64 x #s(literal 3602879701896397/2251799813685248 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 x (*.f64 x #s(literal 1/24 binary64)))))) x))
(if (<=.f64 x #s(literal 8782019273372467/4503599627370496 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 4 binary64)) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))) x) (.f64 x (/.f64 (*.f64 x x) (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -96 binary64) 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 8106479329266893/4503599627370496 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)))
(+.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 -6980579422424269/4503599627370496 binary64)) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))) x) (if (<=.f64 x #s(literal 4999999999999999966104743371808139882308542209720320 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x)) (.f64 x (.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 #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 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))) x) (-.f64 #s(literal 1/8 binary64) (.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x)) (.f64 x (.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 1/4 binary64) (.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)))) #s(literal -1/2 binary64)))))) (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)))) (.f64 (.f64 x (+.f64 #s(literal 36 binary64) (*.f64 x #s(literal 9 binary64)))) 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) (if (<=.f64 x #s(literal 4999999999999999966104743371808139882308542209720320 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 x (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) (.f64 x (.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 #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 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))) (-.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) (.f64 x (.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 1/4 binary64) (.f64 (.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 #s(literal 1/216 binary64) (.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)))) (.f64 x (.f64 x (+.f64 #s(literal 36 binary64) (*.f64 x #s(literal 9 binary64))))))))
(if (<=.f64 x #s(literal -6980579422424269/4503599627370496 binary64)) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))) x) (if (<=.f64 x #s(literal 49999999999999998431683053958987776 binary64)) (/.f64 (.f64 (-.f64 #s(literal 1 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 (+.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))))) #s(literal 1 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 #s(literal 1/216 binary64) (.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)))) (.f64 (.f64 x (+.f64 #s(literal 36 binary64) (*.f64 x #s(literal 9 binary64)))) 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) (if (<=.f64 x #s(literal 49999999999999998431683053958987776 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) #s(literal 1/2 binary64)) (.f64 (.f64 x x) (+.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) #s(literal 1/2 binary64)))) (.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) #s(literal 1/2 binary64)) (.f64 (.f64 x x) (+.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) #s(literal 1/2 binary64)))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) #s(literal 1/2 binary64)) (.f64 (.f64 x x) (+.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) #s(literal 1/2 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) #s(literal 1/2 binary64)))))) (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)))) (.f64 x (.f64 x (+.f64 #s(literal 36 binary64) (.f64 x #s(literal 9 binary64))))))))
(if (<=.f64 x #s(literal 7/4 binary64)) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))) x) (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)))) (.f64 (.f64 x (+.f64 #s(literal 36 binary64) (.f64 x #s(literal 9 binary64)))) x)))
(if (<=.f64 x #s(literal 7/4 binary64)) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))) x) (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)))) (.f64 x (.f64 x (+.f64 #s(literal 36 binary64) (.f64 x #s(literal 9 binary64)))))))
(if (<=.f64 x #s(literal 8106479329266893/4503599627370496 binary64)) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))) x) (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)))) (.f64 (/.f64 x #s(literal 1/36 binary64)) x)))
(if (<=.f64 x #s(literal 8106479329266893/4503599627370496 binary64)) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))) x) (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)))) (.f64 x (/.f64 x #s(literal 1/36 binary64)))))
(if (<=.f64 x #s(literal 8106479329266893/4503599627370496 binary64)) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))) x) (/.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x (*.f64 x x))) x))
(if (<=.f64 x #s(literal 8106479329266893/4503599627370496 binary64)) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))) x) (/.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) x))
(if (<=.f64 x #s(literal 3602879701896397/2251799813685248 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 x (*.f64 x #s(literal 1/24 binary64)))))) x))
(if (<=.f64 x #s(literal 8782019273372467/4503599627370496 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 4 binary64)) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))) x) (.f64 x (/.f64 (*.f64 x x) (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -96 binary64) 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 6980579422424269/4503599627370496 binary64)) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))) x) (.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal 8106479329266893/4503599627370496 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 8106479329266893/4503599627370496 binary64)) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))) x) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))
(+.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 2 binary64)) #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(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 6530219459687219/2251799813685248 binary64)) #s(literal 1 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/24 binary64)))
(if (<=.f64 x #s(literal 5404319552844595/2251799813685248 binary64)) #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(if (<=.f64 x #s(literal 5404319552844595/2251799813685248 binary64)) #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(literal 1 binary64)

soundness3.3s (31.3%)

Rules

4722×	`-lowering-.f32`
4722×	`-lowering-.f64`
3756×	`-lowering-.f32`
3756×	`-lowering-.f64`
3742×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	256
1	312	182
2	2858	174
0	8382	174
0	79	1080
1	284	928
2	890	878
3	2873	870
4	7478	870
0	8193	870
0	225	2229
1	760	2100
2	2272	1989
3	7009	1989
0	8145	1989
0	20	116
1	135	99
2	1218	88
0	8321	88
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	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	294	2159
1	934	2058
2	2678	1932
0	8357	1932
0	46	315
1	312	181
2	3205	179
0	8580	179

Stop Event

1×	fuel
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
1×	iter limit
1×	node limit

Compiler

Compiled 1489 to 794 computations (46.7% saved)

preprocess151.0ms (1.4%)

Compiler: Compiled 1094 to 272 computations (75.1% saved)

analyze2.0ms (0%)

sample1.2s (11.1%)

preprocess101.0ms (1%)

explain86.0ms (0.8%)

eval0.0ms (0%)

prune2.0ms (0%)

simplify52.0ms (0.5%)

localize34.0ms (0.3%)

series2.0ms (0%)

rewrite365.0ms (3.5%)

simplify265.0ms (2.5%)

eval49.0ms (0.5%)

prune52.0ms (0.5%)

simplify281.0ms (2.7%)

localize132.0ms (1.3%)

series11.0ms (0.1%)

rewrite366.0ms (3.5%)

simplify204.0ms (1.9%)

eval155.0ms (1.5%)

prune255.0ms (2.4%)

simplify186.0ms (1.8%)

localize258.0ms (2.5%)

series18.0ms (0.2%)

rewrite350.0ms (3.3%)

simplify236.0ms (2.3%)

eval217.0ms (2.1%)

prune150.0ms (1.4%)

simplify192.0ms (1.8%)

localize253.0ms (2.4%)

series12.0ms (0.1%)

rewrite303.0ms (2.9%)

simplify493.0ms (4.7%)

eval165.0ms (1.6%)

prune143.0ms (1.4%)

regimes80.0ms (0.8%)

regimes40.0ms (0.4%)

regimes32.0ms (0.3%)

regimes25.0ms (0.2%)

regimes14.0ms (0.1%)

regimes10.0ms (0.1%)

regimes10.0ms (0.1%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0%)

regimes5.0ms (0.1%)

regimes4.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

bsearch24.0ms (0.2%)

bsearch39.0ms (0.4%)

bsearch12.0ms (0.1%)

bsearch13.0ms (0.1%)

bsearch12.0ms (0.1%)

bsearch13.0ms (0.1%)

bsearch12.0ms (0.1%)

bsearch14.0ms (0.1%)

bsearch12.0ms (0.1%)

bsearch14.0ms (0.1%)

bsearch14.0ms (0.1%)

bsearch11.0ms (0.1%)

bsearch32.0ms (0.3%)

simplify30.0ms (0.3%)

soundness3.3s (31.3%)

preprocess151.0ms (1.4%)

end0.0ms (0%)

Profiling