Metrics for exp2 (problem 3.3.7)

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50.4%	49.6%	0%	0%	0%	0
100%	50.4%	0%	49.6%	0%	0%	0%	1

Compiler

Compiled 13 to 10 computations (23.1% saved)

Precisions

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

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

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

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

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

const: 0.0ms (0% of total)

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

ival-<=: 0.0ms (0% of total)

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

sample3.3s (33.3%)

Results

2.6s	5814×	2	valid
354.0ms	2269×	1	valid
12.0ms	173×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.5s

ival-exp: 1.7s (70.5% of total)

backward-pass: 211.0ms (8.5% of total)

ival-sub: 167.0ms (6.7% of total)

ival-add: 124.0ms (5% of total)

ival-neg: 107.0ms (4.3% of total)

ival-fabs: 63.0ms (2.5% of total)

ival-<=: 44.0ms (1.8% of total)

const: 17.0ms (0.7% of total)

Bogosity

preprocess59.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

296×	`fnmadd-define`
294×	`fmsub-define`
290×	`fnmsub-define`
290×	`fnmadd-define`
282×	`sum3-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	25
1	40	22
2	101	22
3	258	22
4	633	22
5	1128	22
6	1355	22
7	1404	22
0	7	8
1	19	7
2	37	7
3	62	7
4	116	7
5	214	7
6	498	7
7	950	7
8	1161	7
9	1232	7
10	1246	7
0	1246	7

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

Outputs
(+ (- (exp x) 2) (exp (neg x)))
(sum3 (exp x) (recip (exp x)) -2)
(+ (- (exp (neg x)) 2) (exp (neg (neg x))))
(sum3 (exp x) (recip (exp x)) -2)
(neg (+ (- (exp (neg x)) 2) (exp (neg (neg x)))))
(- (- 2 (recip (exp x))) (exp x))

Symmetry

(abs x)

explain273.0ms (2.7%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
126	0	-	-	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`
0	0	-	-	`x`
0	2	(306.51473687439204)	-	`(exp.f64 (neg.f64 x))`
0	0	-	-	`(neg.f64 x)`
0	0	-	-	`(exp.f64 x)`
0	0	-	-	`(-.f64 (exp.f64 x) #s(literal 2 binary64))`
0	0	-	-	`#s(literal 2 binary64)`

Results

194.0ms	344×	2	valid
37.0ms	154×	1	valid
1.0ms	14×	0	valid

Compiler

Compiled 55 to 23 computations (58.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 177.0ms

ival-exp: 121.0ms (68.2% of total)

backward-pass: 23.0ms (13% of total)

ival-sub: 15.0ms (8.5% of total)

ival-add: 11.0ms (6.2% of total)

ival-neg: 6.0ms (3.4% of total)

const: 1.0ms (0.6% of total)

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.6%	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
▶	56.7%	(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))

Compiler

Compiled 19 to 14 computations (26.3% saved)

simplify48.0ms (0.5%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(exp.f64 (neg.f64 x))
✓	cost-diff	-64	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
✓	cost-diff	0	(exp.f64 x)
✓	cost-diff	0	(-.f64 (exp.f64 x) #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (exp.f64 x))
✓	cost-diff	0	(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64))
✓	cost-diff	0	(exp.f64 x)
✓	cost-diff	0	(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))

Rules

296×	`fnmadd-define`
270×	`sum3-define`
252×	`fmsub-define`
244×	`fma-lowering-fma.f32`
244×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	42
1	28	40
2	46	40
3	67	40
4	117	40
5	214	40
6	497	40
7	948	40
8	1159	40
9	1230	40
10	1244	40
0	1244	40

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (exp x) (+ (/ 1 (exp x)) -2))
(exp x)
x
(+ (/ 1 (exp x)) -2)
(/ 1 (exp x))
1
-2
(+ (- (exp x) 2) (exp (neg x)))
(- (exp x) 2)
(exp x)
x
2
(exp (neg x))
(neg x)

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

localize231.0ms (2.3%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(exp.f64 (neg.f64 x))
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	100.0%	(-.f64 (exp.f64 x) #s(literal 2 binary64))
✓	accuracy	56.7%	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (exp.f64 x))
✓	accuracy	56.7%	(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))

Results

125.0ms	172×	2	valid
81.0ms	77×	1	valid
1.0ms	7×	0	valid

Compiler

Compiled 47 to 13 computations (72.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 170.0ms

ival-exp: 74.0ms (43.6% of total)

ival-add: 69.0ms (40.7% of total)

backward-pass: 12.0ms (7.1% of total)

ival-div: 6.0ms (3.5% of total)

ival-sub: 3.0ms (1.8% of total)

ival-neg: 3.0ms (1.8% of total)

const: 1.0ms (0.6% of total)

series4.0ms (0%)

Counts

7 → 84

Calls

Call 1

Inputs
#<alt (+ (exp x) (+ (/ 1 (exp x)) -2))>
#<alt (exp x)>
#<alt (+ (/ 1 (exp x)) -2)>
#<alt (/ 1 (exp x))>
#<alt (- (exp x) 2)>
#<alt (+ (- (exp x) 2) (exp (neg x)))>
#<alt (exp (neg x))>

Outputs
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* x (- (* 1/2 x) 1)) 1)>
#<alt (- (* x (- (* x (+ 1/2 (* -1/6 x))) 1)) 1)>
#<alt (- (/ 1 (exp x)) 2)>
#<alt (- (/ 1 (exp x)) 2)>
#<alt (- (/ 1 (exp x)) 2)>
#<alt (- (/ 1 (exp x)) 2)>
#<alt (- (/ 1 (exp x)) 2)>
#<alt (- (/ 1 (exp x)) 2)>
#<alt (- (/ 1 (exp x)) 2)>
#<alt (- (/ 1 (exp x)) 2)>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))>
#<alt (/ 1 (exp x))>
#<alt (/ 1 (exp x))>
#<alt (/ 1 (exp x))>
#<alt (/ 1 (exp x))>
#<alt (/ 1 (exp x))>
#<alt (/ 1 (exp x))>
#<alt (/ 1 (exp x))>
#<alt (/ 1 (exp x))>
#<alt -1>
#<alt (- x 1)>
#<alt (- (* x (+ 1 (* 1/2 x))) 1)>
#<alt (- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(+ (exp x) (+ (/ 1 (exp x)) -2))
1.0ms	x	@	0	(+ (exp x) (+ (/ 1 (exp x)) -2))
0.0ms	x	@	inf	(+ (exp x) (+ (/ 1 (exp x)) -2))
0.0ms	x	@	0	(+ (/ 1 (exp x)) -2)
0.0ms	x	@	0	(+ (- (exp x) 2) (exp (neg x)))

rewrite398.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

3818×	`/-lowering-/.f32`
3818×	`/-lowering-/.f64`
3478×	`-lowering-.f32`
3478×	`-lowering-.f64`
2196×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	33
1	83	29
2	828	27
0	8849	27

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 513

Calls

Call 1

Inputs
(+ (exp x) (+ (/ 1 (exp x)) -2))
(exp x)
(+ (/ 1 (exp x)) -2)
(/ 1 (exp x))
(- (exp x) 2)
(+ (- (exp x) 2) (exp (neg x)))
(exp (neg x))

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

simplify170.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1978×	`+-lowering-+.f64`
1978×	`+-lowering-+.f32`
1744×	`sum3-define`
1528×	`-lowering-.f32`
1528×	`-lowering-.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	67	495
1	193	450
2	533	437
3	1509	437
4	2662	437
5	6024	437
6	7679	437
0	8141	437

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

Inputs
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
-1
(- (* -1 x) 1)
(- (* x (- (* 1/2 x) 1)) 1)
(- (* x (- (* x (+ 1/2 (* -1/6 x))) 1)) 1)
(- (/ 1 (exp x)) 2)
(- (/ 1 (exp x)) 2)
(- (/ 1 (exp x)) 2)
(- (/ 1 (exp x)) 2)
(- (/ 1 (exp x)) 2)
(- (/ 1 (exp x)) 2)
(- (/ 1 (exp x)) 2)
(- (/ 1 (exp x)) 2)
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(/ 1 (exp x))
(/ 1 (exp x))
(/ 1 (exp x))
(/ 1 (exp x))
(/ 1 (exp x))
(/ 1 (exp x))
(/ 1 (exp x))
(/ 1 (exp x))
-1
(- x 1)
(- (* x (+ 1 (* 1/2 x))) 1)
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))

Outputs
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64))))))))
(- (+ (exp x) (/ 1 (exp x))) 2)
(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
(- (+ (exp x) (/ 1 (exp x))) 2)
(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
(- (+ (exp x) (/ 1 (exp x))) 2)
(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
(- (+ (exp x) (/ 1 (exp x))) 2)
(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
(- (+ (exp x) (/ 1 (exp x))) 2)
(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
(- (+ (exp x) (/ 1 (exp x))) 2)
(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
(- (+ (exp x) (/ 1 (exp x))) 2)
(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
(- (+ (exp x) (/ 1 (exp x))) 2)
(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* 1/2 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))) #s(literal -1 binary64))))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* 1/2 x) 1)) 1)
(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(- (* x (- (* x (+ 1/2 (* -1/6 x))) 1)) 1)
(-.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))))
(- (/ 1 (exp x)) 2)
(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64))
(- (/ 1 (exp x)) 2)
(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64))
(- (/ 1 (exp x)) 2)
(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64))
(- (/ 1 (exp x)) 2)
(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64))
(- (/ 1 (exp x)) 2)
(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64))
(- (/ 1 (exp x)) 2)
(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64))
(- (/ 1 (exp x)) 2)
(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64))
(- (/ 1 (exp x)) 2)
(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))))
(/ 1 (exp x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/ 1 (exp x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/ 1 (exp x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/ 1 (exp x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/ 1 (exp x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/ 1 (exp x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/ 1 (exp x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/ 1 (exp x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
-1
#s(literal -1 binary64)
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- (* x (+ 1 (* 1/2 x))) 1)
(+.f64 (.f64 x (-.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)
(+.f64 (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))) #s(literal -1 binary64))) #s(literal -1 binary64))
(- (exp x) 2)
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(- (exp x) 2)
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(- (exp x) 2)
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(- (exp x) 2)
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(- (exp x) 2)
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(- (exp x) 2)
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(- (exp x) 2)
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(- (exp x) 2)
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64))))))))
(- (+ (exp x) (exp (neg x))) 2)
(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
(- (+ (exp x) (exp (neg x))) 2)
(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
(- (+ (exp x) (exp (neg x))) 2)
(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
(- (+ (exp x) (exp (neg x))) 2)
(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
(- (+ (exp x) (exp (* -1 x))) 2)
(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
(- (+ (exp x) (exp (* -1 x))) 2)
(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
(- (+ (exp x) (exp (* -1 x))) 2)
(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
(- (+ (exp x) (exp (* -1 x))) 2)
(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))))
(exp (neg x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(exp (neg x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(exp (neg x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(exp (neg x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(exp (* -1 x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(exp (* -1 x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(exp (* -1 x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(exp (* -1 x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))

eval86.0ms (0.9%)

Compiler: Compiled 15792 to 1181 computations (92.5% saved)

prune57.0ms (0.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	646	5	651
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	648	5	653

Accuracy

100.0%

Counts

653 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.9%	(+.f64 (exp.f64 x) #s(literal -1 binary64))
▶	99.2%	(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64))))))))
▶	99.1%	(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))))))
▶	98.7%	(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
▶	97.7%	(*.f64 x x)

Compiler

Compiled 126 to 72 computations (42.9% saved)

simplify145.0ms (1.5%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Program
✓	cost-diff	(exp.f64 x)
✓	cost-diff	(+.f64 (exp.f64 x) #s(literal -1 binary64))
✓	cost-diff	(.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))))
✓	cost-diff	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64)))))
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))))))
✓	cost-diff	(.f64 (.f64 x x) #s(literal 1/12 binary64))
✓	cost-diff	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64))))))
✓	cost-diff	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))))
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64))))))))

Rules

3256×	`fma-define`
2750×	`fma-lowering-fma.f32`
2750×	`fma-lowering-fma.f64`
1336×	`sum3-define`
888×	`-lowering-.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	24	204
1	89	184
2	321	184
3	988	178
4	2233	178
5	2827	178
6	3462	178
7	3882	178
8	4065	178
9	4108	178
10	4126	178
11	4129	178
12	4130	178
13	4981	178
14	4981	178
0	4981	178

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* (* x x) (+ 1 (* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))))))
(* x x)
x
(+ 1 (* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160))))))
1
(* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))))
(+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160))))
1/12
(* (* x x) (+ 1/360 (* (* x x) 1/20160)))
(+ 1/360 (* (* x x) 1/20160))
1/360
(* (* x x) 1/20160)
1/20160
(* x x)
x
(* (* x x) (+ 1 (* (* x x) 1/12)))
(* x x)
x
(+ 1 (* (* x x) 1/12))
1
(* (* x x) 1/12)
1/12
(* (* x x) (+ 1 (* (* x x) (+ 1/12 (* (* x x) 1/360)))))
(* x x)
x
(+ 1 (* (* x x) (+ 1/12 (* (* x x) 1/360))))
1
(* (* x x) (+ 1/12 (* (* x x) 1/360)))
(+ 1/12 (* (* x x) 1/360))
1/12
(* (* x x) 1/360)
1/360
(+ (exp x) -1)
(exp x)
x
-1

Outputs
(* (* x x) (+ 1 (* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))))))
(* x x)
(*.f64 x x)
x
(+ 1 (* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64))))))))
1
#s(literal 1 binary64)
(* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))))
(+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160))))
(+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64))))))
1/12
#s(literal 1/12 binary64)
(* (* x x) (+ 1/360 (* (* x x) 1/20160)))
(.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))
(+ 1/360 (* (* x x) 1/20160))
(+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))
1/360
#s(literal 1/360 binary64)
(* (* x x) 1/20160)
(.f64 (.f64 x x) #s(literal 1/20160 binary64))
1/20160
#s(literal 1/20160 binary64)
(* x x)
(*.f64 x x)
x
(* (* x x) (+ 1 (* (* x x) 1/12)))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(* x x)
(*.f64 x x)
x
(+ 1 (* (* x x) 1/12))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))
1
#s(literal 1 binary64)
(* (* x x) 1/12)
(.f64 (.f64 x x) #s(literal 1/12 binary64))
1/12
#s(literal 1/12 binary64)
(* (* x x) (+ 1 (* (* x x) (+ 1/12 (* (* x x) 1/360)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))
(* x x)
(*.f64 x x)
x
(+ 1 (* (* x x) (+ 1/12 (* (* x x) 1/360))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))
1
#s(literal 1 binary64)
(* (* x x) (+ 1/12 (* (* x x) 1/360)))
(.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))
(+ 1/12 (* (* x x) 1/360))
(+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))
1/12
#s(literal 1/12 binary64)
(* (* x x) 1/360)
(.f64 x (.f64 x #s(literal 1/360 binary64)))
1/360
#s(literal 1/360 binary64)
(+ (exp x) -1)
(+.f64 (exp.f64 x) #s(literal -1 binary64))
(exp x)
(exp.f64 x)
x
-1
#s(literal -1 binary64)

localize230.0ms (2.3%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	10.3%	(+.f64 (exp.f64 x) #s(literal -1 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64)))
✓	accuracy	100.0%	(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))))))
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal 1/360 binary64))
✓	accuracy	99.7%	(.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 1/12 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64))))))))
✓	accuracy	99.9%	(.f64 (.f64 x x) #s(literal 1/20160 binary64))
✓	accuracy	99.8%	(.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64))))
✓	accuracy	99.7%	(.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64))))))

Results

161.0ms	246×	1	valid
3.0ms	10×	0	valid

Compiler

Compiled 206 to 25 computations (87.9% saved)

Precisions

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

ival-mult: 33.0ms (32.1% of total)

...c/correct-round.rkt:119:19: 22.0ms (21.4% of total)

ival-add: 19.0ms (18.5% of total)

backward-pass: 17.0ms (16.5% of total)

ival-exp: 11.0ms (10.7% of total)

const: 1.0ms (1% of total)

series9.0ms (0.1%)

Counts

16 → 192

Calls

Call 1

Inputs
#<alt (* (* x x) (+ 1 (* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))))))>
#<alt (* x x)>
#<alt (+ 1 (* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160))))))>
#<alt (* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))))>
#<alt (* (* x x) (+ 1 (* (* x x) 1/12)))>
#<alt (+ 1 (* (* x x) 1/12))>
#<alt (* (* x x) 1/12)>
#<alt (* (* x x) (+ 1 (* (* x x) (+ 1/12 (* (* x x) 1/360)))))>
#<alt (+ 1 (* (* x x) (+ 1/12 (* (* x x) 1/360))))>
#<alt (* (* x x) (+ 1/12 (* (* x x) 1/360)))>
#<alt (+ (exp x) -1)>
#<alt (exp x)>
#<alt (* (* x x) (+ 1/360 (* (* x x) 1/20160)))>
#<alt (* (* x x) 1/20160)>
#<alt (* (* x x) 1/360)>
#<alt (+ 1/12 (* (* x x) 1/360))>

Outputs
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt (* 1/20160 (pow x 8))>
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/20160 (pow x 8))>
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 1>
#<alt (+ 1 (* 1/12 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))>
#<alt (* 1/20160 (pow x 6))>
#<alt (* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/20160 (pow x 6))>
#<alt (* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/12 (pow x 2))>
#<alt (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))>
#<alt (* 1/20160 (pow x 6))>
#<alt (* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* 1/20160 (pow x 6))>
#<alt (* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* 1/12 (pow x 4))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* 1/12 (pow x 4))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt 1>
#<alt (+ 1 (* 1/12 (pow x 2)))>
#<alt (+ 1 (* 1/12 (pow x 2)))>
#<alt (+ 1 (* 1/12 (pow x 2)))>
#<alt (* 1/12 (pow x 2))>
#<alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* 1/12 (pow x 2))>
#<alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt 1>
#<alt (+ 1 (* 1/12 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))>
#<alt (* 1/360 (pow x 4))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/360 (pow x 4))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/12 (pow x 2))>
#<alt (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* 1/360 (pow x 4))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* 1/360 (pow x 4))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt 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)>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (* 1/360 (pow x 2))>
#<alt (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt 1/12>
#<alt (+ 1/12 (* 1/360 (pow x 2)))>
#<alt (+ 1/12 (* 1/360 (pow x 2)))>
#<alt (+ 1/12 (* 1/360 (pow x 2)))>
#<alt (* 1/360 (pow x 2))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* 1/360 (pow x 2))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>

Calls

48 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(* (* x x) 1/360)
1.0ms	x	@	inf	(* (* x x) (+ 1 (* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))))))
0.0ms	x	@	inf	(* (* x x) (+ 1 (* (* x x) (+ 1/12 (* (* x x) 1/360)))))
0.0ms	x	@	inf	(* (* x x) (+ 1/360 (* (* x x) 1/20160)))
0.0ms	x	@	inf	(* (* x x) (+ 1 (* (* x x) 1/12)))

rewrite731.0ms (7.3%)

Algorithm

1×	batch-egg-rewrite

Rules

4376×	`-lowering-.f32`
4376×	`-lowering-.f64`
3144×	`/-lowering-/.f32`
3144×	`/-lowering-/.f64`
2638×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	160
1	174	143
2	1627	137
0	9331	137

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 459

Calls

Call 1

Inputs
(* (* x x) (+ 1 (* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))))))
(* x x)
(+ 1 (* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160))))))
(* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))))
(* (* x x) (+ 1 (* (* x x) 1/12)))
(+ 1 (* (* x x) 1/12))
(* (* x x) 1/12)
(* (* x x) (+ 1 (* (* x x) (+ 1/12 (* (* x x) 1/360)))))
(+ 1 (* (* x x) (+ 1/12 (* (* x x) 1/360))))
(* (* x x) (+ 1/12 (* (* x x) 1/360)))
(+ (exp x) -1)
(exp x)
(* (* x x) (+ 1/360 (* (* x x) 1/20160)))
(* (* x x) 1/20160)
(* (* x x) 1/360)
(+ 1/12 (* (* x x) 1/360))

Outputs
(+.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64)))))) (.f64 (.f64 x x) (*.f64 x x))))
(+.f64 (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64)))))) (.f64 (.f64 x x) (.f64 x x))) (*.f64 x x))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64)))))) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 (.f64 (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64)))))) (.f64 (.f64 x x) (.f64 x x))) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64)))))) (.f64 (.f64 x x) (.f64 x x)))) (-.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64)))))) (.f64 (.f64 x x) (.f64 x x))))))
(fma.f64 x x (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64)))))) (.f64 (.f64 x x) (.f64 x x))))
(fma.f64 x (.f64 x #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64)))))) (.f64 (.f64 x x) (*.f64 x x))))
(fma.f64 x (.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))))) (.f64 x x))
(fma.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))) (.f64 x x)) (.f64 x x))
(fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64)))))) (.f64 (.f64 x x) (*.f64 x x))))
(fma.f64 (.f64 x x) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64)))))))) (.f64 x x))
(fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64)))))) (.f64 (.f64 x x) (*.f64 x x))))
(fma.f64 (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64)))))) (.f64 (.f64 x x) (.f64 x x)) (.f64 x x))
(fma.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64)))))))) (.f64 x x) (.f64 x x))
(fma.f64 (.f64 x (.f64 x x)) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))) (.f64 x x))
(fma.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64)))))) (.f64 x x))
(fma.f64 (.f64 #s(literal 1 binary64) x) x (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64)))))) (.f64 (.f64 x x) (*.f64 x x))))
(fma.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64)))))))) x) x (.f64 x x))
(/.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64)))))) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64)))))) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (.f64 (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64)))))) (.f64 (.f64 x x) (.f64 x x))) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64)))))) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64)))))) (.f64 (.f64 x x) (*.f64 x x)))))))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64)))))) (.f64 (.f64 x x) (.f64 x x))) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64)))))) (.f64 (.f64 x x) (.f64 x x))))) (-.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64)))))) (.f64 (.f64 x x) (*.f64 x x)))))
(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64)))))) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64)))))) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64)))))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))) #s(literal 1 binary64)))))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64)))))) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64)))))) (.f64 (.f64 x x) (.f64 x x)))))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 x (*.f64 x #s(literal 1/20160 binary64))))))))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64)))))) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64)))))) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64)))))))))) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64)))))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))) #s(literal 1 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64)))))) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64)))))) (.f64 (.f64 x x) (.f64 x x))))) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 x (*.f64 x #s(literal 1/20160 binary64))))))))))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64)))))) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64)))))) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) (neg.f64 (+.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (.f64 (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64)))))) (.f64 (.f64 x x) (.f64 x x))) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64)))))) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64)))))) (.f64 (.f64 x x) (*.f64 x x))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64)))))) (.f64 (.f64 x x) (.f64 x x))) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64)))))) (.f64 (.f64 x x) (.f64 x x)))))) (neg.f64 (-.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64)))))) (.f64 (.f64 x x) (*.f64 x x))))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64)))))) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64)))))) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64)))))))))))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64)))))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64)))))) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64)))))) (.f64 (.f64 x x) (.f64 x x))))))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))))))
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(.f64 x (.f64 x #s(literal 1/20160 binary64)))
(.f64 (.f64 x x) #s(literal 1/20160 binary64))
(.f64 #s(literal 1/20160 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/20160 binary64)) x)
(.f64 x (.f64 x #s(literal 1/360 binary64)))
(.f64 (.f64 x x) #s(literal 1/360 binary64))
(.f64 #s(literal 1/360 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/360 binary64)) x)
(+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64)))
(+.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(-.f64 (/.f64 #s(literal 1/144 binary64) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/360 binary64) (.f64 x x)))) (/.f64 (.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/360 binary64) (.f64 x x)))))
(-.f64 (/.f64 (.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (/.f64 #s(literal 1/144 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(fma.f64 (*.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/144 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) (+.f64 #s(literal 1/1728 binary64) (.f64 #s(literal 1/46656000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/360 binary64) (.f64 x x))) (-.f64 #s(literal 1/144 binary64) (.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) (.f64 x x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/144 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) (+.f64 #s(literal 1/1728 binary64) (.f64 #s(literal 1/46656000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/360 binary64) (.f64 x x))) (-.f64 #s(literal 1/144 binary64) (.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) (.f64 x x)))))))
(/.f64 (+.f64 #s(literal 1/1728 binary64) (.f64 #s(literal 1/46656000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (+.f64 #s(literal 1/144 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))
(/.f64 (+.f64 #s(literal 1/1728 binary64) (.f64 #s(literal 1/46656000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (+.f64 (.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal 1/144 binary64) (.f64 #s(literal 1/4320 binary64) (.f64 x x)))))
(/.f64 (-.f64 #s(literal 1/144 binary64) (.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/360 binary64) (.f64 x x))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/1728 binary64) (.f64 #s(literal 1/46656000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) (neg.f64 (+.f64 #s(literal 1/144 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/1728 binary64) (.f64 #s(literal 1/46656000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) (neg.f64 (+.f64 (.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal 1/144 binary64) (.f64 #s(literal 1/4320 binary64) (.f64 x x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/144 binary64) (.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) (.f64 x x))))) (neg.f64 (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/360 binary64) (.f64 x x)))))
(/.f64 (-.f64 (.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/144 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1/144 binary64) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/360 binary64) (.f64 x x)))) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/360 binary64) (.f64 x x))) (.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) (.f64 x x))))) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/360 binary64) (.f64 x x))) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/360 binary64) (*.f64 x x)))))
(/.f64 (.f64 (+.f64 #s(literal 1/5159780352 binary64) (.f64 (.f64 #s(literal 1/46656000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 #s(literal 1/46656000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 1/46656000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1/2985984 binary64) (-.f64 (.f64 (.f64 #s(literal 1/46656000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 1/46656000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (.f64 #s(literal 1/80621568000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) (+.f64 #s(literal 1/144 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))))
(/.f64 (.f64 (-.f64 #s(literal 1/2985984 binary64) (.f64 (.f64 #s(literal 1/46656000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 1/46656000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1/1728 binary64) (.f64 #s(literal 1/46656000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (+.f64 #s(literal 1/144 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))))
(/.f64 (.f64 (-.f64 #s(literal 1/2985984 binary64) (.f64 (.f64 #s(literal 1/46656000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 1/46656000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1/20736 binary64) (+.f64 (.f64 (.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 1/144 binary64) (.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) (.f64 x x)))))) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/360 binary64) (*.f64 x x)))))
(/.f64 (.f64 (-.f64 #s(literal 1/20736 binary64) (.f64 (.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) (.f64 x x))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1/144 binary64) (.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/360 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1/1728 binary64) (.f64 #s(literal 1/46656000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/144 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/144 binary64) (.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) (.f64 x x)))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/360 binary64) (.f64 x x))))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/144 binary64))) (neg.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))
(pow.f64 (/.f64 (+.f64 #s(literal 1/144 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) (+.f64 #s(literal 1/1728 binary64) (.f64 #s(literal 1/46656000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/360 binary64) (.f64 x x))) (-.f64 #s(literal 1/144 binary64) (.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) (.f64 x x))))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal 1/1728 binary64) (.f64 #s(literal 1/46656000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/144 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))))
(.f64 (-.f64 #s(literal 1/144 binary64) (.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/360 binary64) (*.f64 x x)))))

simplify168.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

2360×	`-lowering-.f32`
2360×	`-lowering-.f64`
2158×	`sum3-define`
1672×	`+-lowering-+.f64`
1672×	`+-lowering-+.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	87	1520
1	301	1403
2	892	1365
3	2749	1365
4	4536	1351
0	8191	1351

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

Inputs
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 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)
1
(+ 1 (* 1/12 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))
(* 1/20160 (pow x 6))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/20160 (pow x 6))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(* 1/20160 (pow x 6))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* 1/20160 (pow x 6))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
1
(+ 1 (* 1/12 (pow x 2)))
(+ 1 (* 1/12 (pow x 2)))
(+ 1 (* 1/12 (pow x 2)))
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
1
(+ 1 (* 1/12 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))
(* 1/360 (pow x 4))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/360 (pow x 4))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(* 1/360 (pow x 4))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 4))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
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)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))
(* 1/20160 (pow x 4))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* 1/20160 (pow x 4))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
1/12
(+ 1/12 (* 1/360 (pow x 2)))
(+ 1/12 (* 1/360 (pow x 2)))
(+ 1/12 (* 1/360 (pow x 2)))
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))

Outputs
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/12 binary64)))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))))))
(* 1/20160 (pow x 8))
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (.f64 x x))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/360 binary64) (.f64 x x)) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
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(.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64))))
(* 1/20160 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/20160 binary64))
(* 1/360 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/360 binary64))
(* 1/360 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/360 binary64))
(* 1/360 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/360 binary64))
(* 1/360 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/360 binary64))
(* 1/360 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/360 binary64))
(* 1/360 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/360 binary64))
(* 1/360 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/360 binary64))
(* 1/360 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/360 binary64))
(* 1/360 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/360 binary64))
(* 1/360 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/360 binary64))
(* 1/360 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/360 binary64))
(* 1/360 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/360 binary64))
1/12
#s(literal 1/12 binary64)
(+ 1/12 (* 1/360 (pow x 2)))
(+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64)))
(+ 1/12 (* 1/360 (pow x 2)))
(+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64)))
(+ 1/12 (* 1/360 (pow x 2)))
(+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64)))
(* 1/360 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/360 binary64))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64)))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64)))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64)))
(* 1/360 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/360 binary64))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64)))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64)))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64)))

eval108.0ms (1.1%)

Compiler: Compiled 25013 to 1980 computations (92.1% saved)

prune82.0ms (0.8%)

Pruning

18 alts after pruning (15 fresh and 3 done)

	Pruned	Kept	Total
New	834	15	849
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	836	18	854

Accuracy

100.0%

Counts

854 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.2%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64)))))) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64)))))) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64)))))))))) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64)))))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))) #s(literal 1 binary64)))))
	99.1%	(+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64)))))) (*.f64 x x))
	54.4%	(.f64 (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))) (.f64 x (.f64 x (.f64 x x))))
	98.7%	(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))) x)
	24.2%	(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8193540096000 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 1/46656000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/20160 binary64))))) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/20160 binary64)))))) (-.f64 (.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/20160 binary64))))) (.f64 (.f64 x x) #s(literal 1/360 binary64))))))))))
▶	99.2%	(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/129600 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/406425600 binary64))) (.f64 x x)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal -1/20160 binary64) (.f64 x x))))))))
	99.2%	(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/46656000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8193540096000 binary64)))) (.f64 x x)) (+.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/20160 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal 1/20160 binary64))) #s(literal 1/360 binary64)))))))))
✓	99.1%	(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))))))
✓	98.7%	(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
	54.4%	(.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))))
▶	54.1%	(.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64))))))
	53.9%	(.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 #s(literal 1/20160 binary64) (.f64 x (.f64 x (.f64 x x))))))
▶	54.1%	(.f64 (.f64 x x) (.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (.f64 x x)))))
▶	99.2%	(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))))))
✓	97.7%	(*.f64 x x)
	54.4%	(.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (.f64 x x))))
	7.8%	(expm1.f64 x)
▶	7.0%	x

Compiler

Compiled 920 to 387 computations (57.9% saved)

simplify167.0ms (1.7%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Program
✓	cost-diff	(.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/129600 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/406425600 binary64))) (.f64 x x)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal -1/20160 binary64) (.f64 x x))))))
✓	cost-diff	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/129600 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/406425600 binary64))) (.f64 x x)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal -1/20160 binary64) (.f64 x x)))))))
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/129600 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/406425600 binary64))) (.f64 x x)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal -1/20160 binary64) (.f64 x x))))))))
✓	cost-diff	(.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64))))
✓	cost-diff	(.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64))))))
✓	cost-diff	(.f64 x (.f64 x (*.f64 x x)))
✓	cost-diff	(.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (.f64 x x))))
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(.f64 (.f64 x x) (.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (.f64 x x)))))
✓	cost-diff	(.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64))))))
✓	cost-diff	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))))
✓	cost-diff	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))
✓	cost-diff	(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))))))

Rules

3314×	`-lowering-.f32`
3314×	`-lowering-.f64`
2014×	`fma-define`
1638×	`fma-lowering-fma.f32`
1638×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	34	404
1	124	342
2	480	328
3	1701	324
4	3815	324
5	5812	324
0	8062	324

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* x (* x (+ 1 (* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160))))))))
x
(* x (+ 1 (* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))))))
(+ 1 (* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160))))))
1
(* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))))
(* x x)
(+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160))))
1/12
(* (* x x) (+ 1/360 (* (* x x) 1/20160)))
(+ 1/360 (* (* x x) 1/20160))
1/360
(* (* x x) 1/20160)
1/20160
x
(* (* x x) (* 1/360 (* x (* x (* x x)))))
(* x x)
x
(* 1/360 (* x (* x (* x x))))
1/360
(* x (* x (* x x)))
(* x (* x x))
(* (* x x) (* (* x x) (* (* x x) (+ 1/360 (* (* x x) 1/20160)))))
(* x x)
x
(* (* x x) (* (* x x) (+ 1/360 (* (* x x) 1/20160))))
(* (* x x) (+ 1/360 (* (* x x) 1/20160)))
(+ 1/360 (* (* x x) 1/20160))
1/360
(* (* x x) 1/20160)
1/20160
(* (* x x) (+ 1 (* (* x x) (+ 1/12 (/ (* (- 1/129600 (* (* (* x x) (* x x)) 1/406425600)) (* x x)) (+ 1/360 (* -1/20160 (* x x))))))))
(* x x)
x
(+ 1 (* (* x x) (+ 1/12 (/ (* (- 1/129600 (* (* (* x x) (* x x)) 1/406425600)) (* x x)) (+ 1/360 (* -1/20160 (* x x)))))))
1
(* (* x x) (+ 1/12 (/ (* (- 1/129600 (* (* (* x x) (* x x)) 1/406425600)) (* x x)) (+ 1/360 (* -1/20160 (* x x))))))
(+ 1/12 (/ (* (- 1/129600 (* (* (* x x) (* x x)) 1/406425600)) (* x x)) (+ 1/360 (* -1/20160 (* x x)))))
1/12
(/ (* (- 1/129600 (* (* (* x x) (* x x)) 1/406425600)) (* x x)) (+ 1/360 (* -1/20160 (* x x))))
(* (- 1/129600 (* (* (* x x) (* x x)) 1/406425600)) (* x x))
(- 1/129600 (* (* (* x x) (* x x)) 1/406425600))
1/129600
(* (* (* x x) (* x x)) 1/406425600)
(* (* x x) (* x x))
1/406425600
(+ 1/360 (* -1/20160 (* x x)))
1/360
(* -1/20160 (* x x))
-1/20160

Outputs
(* x (* x (+ 1 (* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160))))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))))))
x
(* x (+ 1 (* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))
(+ 1 (* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160))))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64))))))))
1
#s(literal 1 binary64)
(* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))))
(.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))))
(* x x)
(*.f64 x x)
(+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160))))
(+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))
1/12
#s(literal 1/12 binary64)
(* (* x x) (+ 1/360 (* (* x x) 1/20160)))
(.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64))))
(+ 1/360 (* (* x x) 1/20160))
(+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))
1/360
#s(literal 1/360 binary64)
(* (* x x) 1/20160)
(.f64 (.f64 x x) #s(literal 1/20160 binary64))
1/20160
#s(literal 1/20160 binary64)
x
(* (* x x) (* 1/360 (* x (* x (* x x)))))
(.f64 (.f64 x x) (.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (.f64 x x)))))
(* x x)
(*.f64 x x)
x
(* 1/360 (* x (* x (* x x))))
(.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (.f64 x x))))
1/360
#s(literal 1/360 binary64)
(* x (* x (* x x)))
(.f64 x (.f64 x (*.f64 x x)))
(* x (* x x))
(.f64 x (.f64 x x))
(* (* x x) (* (* x x) (* (* x x) (+ 1/360 (* (* x x) 1/20160)))))
(.f64 (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))
(* x x)
(*.f64 x x)
x
(* (* x x) (* (* x x) (+ 1/360 (* (* x x) 1/20160))))
(.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))
(* (* x x) (+ 1/360 (* (* x x) 1/20160)))
(.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64))))
(+ 1/360 (* (* x x) 1/20160))
(+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))
1/360
#s(literal 1/360 binary64)
(* (* x x) 1/20160)
(.f64 (.f64 x x) #s(literal 1/20160 binary64))
1/20160
#s(literal 1/20160 binary64)
(* (* x x) (+ 1 (* (* x x) (+ 1/12 (/ (* (- 1/129600 (* (* (* x x) (* x x)) 1/406425600)) (* x x)) (+ 1/360 (* -1/20160 (* x x))))))))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/406425600 binary64)))) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal -1/20160 binary64)))))))))
(* x x)
(*.f64 x x)
x
(+ 1 (* (* x x) (+ 1/12 (/ (* (- 1/129600 (* (* (* x x) (* x x)) 1/406425600)) (* x x)) (+ 1/360 (* -1/20160 (* x x)))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/406425600 binary64)))) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal -1/20160 binary64)))))))
1
#s(literal 1 binary64)
(* (* x x) (+ 1/12 (/ (* (- 1/129600 (* (* (* x x) (* x x)) 1/406425600)) (* x x)) (+ 1/360 (* -1/20160 (* x x))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/406425600 binary64)))) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal -1/20160 binary64))))))
(+ 1/12 (/ (* (- 1/129600 (* (* (* x x) (* x x)) 1/406425600)) (* x x)) (+ 1/360 (* -1/20160 (* x x)))))
(+.f64 #s(literal 1/12 binary64) (/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/406425600 binary64)))) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal -1/20160 binary64)))))
1/12
#s(literal 1/12 binary64)
(/ (* (- 1/129600 (* (* (* x x) (* x x)) 1/406425600)) (* x x)) (+ 1/360 (* -1/20160 (* x x))))
(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/406425600 binary64)))) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal -1/20160 binary64))))
(* (- 1/129600 (* (* (* x x) (* x x)) 1/406425600)) (* x x))
(.f64 (.f64 x x) (+.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/406425600 binary64))))
(- 1/129600 (* (* (* x x) (* x x)) 1/406425600))
(+.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/406425600 binary64)))
1/129600
#s(literal 1/129600 binary64)
(* (* (* x x) (* x x)) 1/406425600)
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/406425600 binary64))
(* (* x x) (* x x))
(.f64 x (.f64 x (*.f64 x x)))
1/406425600
#s(literal 1/406425600 binary64)
(+ 1/360 (* -1/20160 (* x x)))
(+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal -1/20160 binary64)))
1/360
#s(literal 1/360 binary64)
(* -1/20160 (* x x))
(.f64 (.f64 x x) #s(literal -1/20160 binary64))
-1/20160
#s(literal -1/20160 binary64)

localize169.0ms (1.7%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 (-.f64 #s(literal 1/129600 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/406425600 binary64))) (.f64 x x))
✓	accuracy	99.8%	(.f64 (.f64 x x) (*.f64 x x))
✓	accuracy	99.7%	(.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/129600 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/406425600 binary64))) (.f64 x x)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal -1/20160 binary64) (.f64 x x))))))
✓	accuracy	99.6%	(/.f64 (.f64 (-.f64 #s(literal 1/129600 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/406425600 binary64))) (.f64 x x)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal -1/20160 binary64) (.f64 x x))))
✓	accuracy	99.9%	(.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64))))))
✓	accuracy	99.9%	(.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))
✓	accuracy	99.9%	(.f64 (.f64 x x) #s(literal 1/20160 binary64))
✓	accuracy	99.8%	(.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64))))
✓	accuracy	99.9%	(.f64 (.f64 x x) (.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (.f64 x x)))))
✓	accuracy	99.9%	(.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (.f64 x x))))
✓	accuracy	99.9%	(.f64 x (.f64 x (*.f64 x x)))
✓	accuracy	99.8%	(.f64 x (.f64 x x))
✓	accuracy	100.0%	(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))))))
✓	accuracy	99.9%	(.f64 (.f64 x x) #s(literal 1/20160 binary64))
✓	accuracy	99.8%	(.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64))))
✓	accuracy	99.7%	(.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64))))))

Results

110.0ms

256×

valid

Compiler

Compiled 436 to 35 computations (92% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-mult: 31.0ms (51.1% of total)

...c/correct-round.rkt:119:19: 19.0ms (31.3% of total)

ival-add: 7.0ms (11.5% of total)

ival-div: 2.0ms (3.3% of total)

ival-sub: 1.0ms (1.6% of total)

const: 0.0ms (0% of total)

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

series9.0ms (0.1%)

Counts

19 → 228

Calls

Call 1

Inputs
#<alt (* x (* x (+ 1 (* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160))))))))>
#<alt (* x (+ 1 (* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))))))>
#<alt (+ 1 (* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160))))))>
#<alt (* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))))>
#<alt (* (* x x) (* 1/360 (* x (* x (* x x)))))>
#<alt (* x x)>
#<alt (* 1/360 (* x (* x (* x x))))>
#<alt (* x (* x (* x x)))>
#<alt (* (* x x) (* (* x x) (* (* x x) (+ 1/360 (* (* x x) 1/20160)))))>
#<alt (* (* x x) (* (* x x) (+ 1/360 (* (* x x) 1/20160))))>
#<alt (* (* x x) (+ 1/360 (* (* x x) 1/20160)))>
#<alt (* (* x x) (+ 1 (* (* x x) (+ 1/12 (/ (* (- 1/129600 (* (* (* x x) (* x x)) 1/406425600)) (* x x)) (+ 1/360 (* -1/20160 (* x x))))))))>
#<alt (+ 1 (* (* x x) (+ 1/12 (/ (* (- 1/129600 (* (* (* x x) (* x x)) 1/406425600)) (* x x)) (+ 1/360 (* -1/20160 (* x x)))))))>
#<alt (* (* x x) (+ 1/12 (/ (* (- 1/129600 (* (* (* x x) (* x x)) 1/406425600)) (* x x)) (+ 1/360 (* -1/20160 (* x x))))))>
#<alt (* (* x x) 1/20160)>
#<alt (* x (* x x))>
#<alt (/ (* (- 1/129600 (* (* (* x x) (* x x)) 1/406425600)) (* x x)) (+ 1/360 (* -1/20160 (* x x))))>
#<alt (* (* x x) (* x x))>
#<alt (* (- 1/129600 (* (* (* x x) (* x x)) 1/406425600)) (* x x))>

Outputs
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt (* 1/20160 (pow x 8))>
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/20160 (pow x 8))>
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt x>
#<alt (* x (+ 1 (* 1/12 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt (* 1/20160 (pow x 7))>
#<alt (* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/20160 (pow x 7))>
#<alt (* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))>
#<alt 1>
#<alt (+ 1 (* 1/12 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))>
#<alt (* 1/20160 (pow x 6))>
#<alt (* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/20160 (pow x 6))>
#<alt (* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/12 (pow x 2))>
#<alt (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))>
#<alt (* 1/20160 (pow x 6))>
#<alt (* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* 1/20160 (pow x 6))>
#<alt (* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* 1/360 (pow x 6))>
#<alt (* 1/360 (pow x 6))>
#<alt (* 1/360 (pow x 6))>
#<alt (* 1/360 (pow x 6))>
#<alt (* 1/360 (pow x 6))>
#<alt (* 1/360 (pow x 6))>
#<alt (* 1/360 (pow x 6))>
#<alt (* 1/360 (pow x 6))>
#<alt (* 1/360 (pow x 6))>
#<alt (* 1/360 (pow x 6))>
#<alt (* 1/360 (pow x 6))>
#<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 (* 1/360 (pow x 4))>
#<alt (* 1/360 (pow x 4))>
#<alt (* 1/360 (pow x 4))>
#<alt (* 1/360 (pow x 4))>
#<alt (* 1/360 (pow x 4))>
#<alt (* 1/360 (pow x 4))>
#<alt (* 1/360 (pow x 4))>
#<alt (* 1/360 (pow x 4))>
#<alt (* 1/360 (pow x 4))>
#<alt (* 1/360 (pow x 4))>
#<alt (* 1/360 (pow x 4))>
#<alt (* 1/360 (pow x 4))>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* (pow x 6) (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* (pow x 6) (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* 1/20160 (pow x 8))>
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* 1/20160 (pow x 8))>
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* 1/360 (pow x 4))>
#<alt (* (pow x 4) (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* 1/20160 (pow x 6))>
#<alt (* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* 1/20160 (pow x 6))>
#<alt (* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* 1/360 (pow x 2))>
#<alt (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt (* 1/20160 (pow x 8))>
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/20160 (pow x 8))>
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt 1>
#<alt (+ 1 (* 1/12 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))>
#<alt (* 1/20160 (pow x 6))>
#<alt (* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/20160 (pow x 6))>
#<alt (* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/12 (pow x 2))>
#<alt (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))>
#<alt (* 1/20160 (pow x 6))>
#<alt (* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* 1/20160 (pow x 6))>
#<alt (* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<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 (* 1/360 (pow x 2))>
#<alt (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (* 1/129600 (pow x 2))>
#<alt (* (pow x 2) (+ 1/129600 (* -1/406425600 (pow x 4))))>
#<alt (* (pow x 2) (+ 1/129600 (* -1/406425600 (pow x 4))))>
#<alt (* (pow x 2) (+ 1/129600 (* -1/406425600 (pow x 4))))>
#<alt (* -1/406425600 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/129600 (/ 1 (pow x 4))) 1/406425600))>
#<alt (* (pow x 6) (- (* 1/129600 (/ 1 (pow x 4))) 1/406425600))>
#<alt (* (pow x 6) (- (* 1/129600 (/ 1 (pow x 4))) 1/406425600))>
#<alt (* -1/406425600 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/129600 (/ 1 (pow x 4))) 1/406425600))>
#<alt (* (pow x 6) (- (* 1/129600 (/ 1 (pow x 4))) 1/406425600))>
#<alt (* (pow x 6) (- (* 1/129600 (/ 1 (pow x 4))) 1/406425600))>

Calls

57 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(* (* x x) (+ 1 (* (* x x) (+ 1/12 (/ (* (- 1/129600 (* (* (* x x) (* x x)) 1/406425600)) (* x x)) (+ 1/360 (* -1/20160 (* x x))))))))
0.0ms	x	@	0	(* (* x x) (* 1/360 (* x (* x (* x x)))))
0.0ms	x	@	inf	(* (* x x) (+ 1/12 (/ (* (- 1/129600 (* (* (* x x) (* x x)) 1/406425600)) (* x x)) (+ 1/360 (* -1/20160 (* x x))))))
0.0ms	x	@	inf	(/ (* (- 1/129600 (* (* (* x x) (* x x)) 1/406425600)) (* x x)) (+ 1/360 (* -1/20160 (* x x))))
0.0ms	x	@	0	(* (* x x) (+ 1 (* (* x x) (+ 1/12 (/ (* (- 1/129600 (* (* (* x x) (* x x)) 1/406425600)) (* x x)) (+ 1/360 (* -1/20160 (* x x))))))))

rewrite335.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

3302×	`-lowering-.f32`
3302×	`-lowering-.f64`
2402×	`fma-lowering-fma.f32`
2402×	`fma-lowering-fma.f64`
2356×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	243
1	217	203
2	2169	191
0	8645	191

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 614

Calls

Call 1

Inputs
(* x (* x (+ 1 (* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160))))))))
(* x (+ 1 (* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))))))
(+ 1 (* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160))))))
(* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))))
(* (* x x) (* 1/360 (* x (* x (* x x)))))
(* x x)
(* 1/360 (* x (* x (* x x))))
(* x (* x (* x x)))
(* (* x x) (* (* x x) (* (* x x) (+ 1/360 (* (* x x) 1/20160)))))
(* (* x x) (* (* x x) (+ 1/360 (* (* x x) 1/20160))))
(* (* x x) (+ 1/360 (* (* x x) 1/20160)))
(* (* x x) (+ 1 (* (* x x) (+ 1/12 (/ (* (- 1/129600 (* (* (* x x) (* x x)) 1/406425600)) (* x x)) (+ 1/360 (* -1/20160 (* x x))))))))
(+ 1 (* (* x x) (+ 1/12 (/ (* (- 1/129600 (* (* (* x x) (* x x)) 1/406425600)) (* x x)) (+ 1/360 (* -1/20160 (* x x)))))))
(* (* x x) (+ 1/12 (/ (* (- 1/129600 (* (* (* x x) (* x x)) 1/406425600)) (* x x)) (+ 1/360 (* -1/20160 (* x x))))))
(* (* x x) 1/20160)
(* x (* x x))
(/ (* (- 1/129600 (* (* (* x x) (* x x)) 1/406425600)) (* x x)) (+ 1/360 (* -1/20160 (* x x))))
(* (* x x) (* x x))
(* (- 1/129600 (* (* (* x x) (* x x)) 1/406425600)) (* x x))

Outputs
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(.f64 (/.f64 (.f64 x (+.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/406425600 binary64)))) (+.f64 #s(literal 1/46656000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8193540096000 binary64))))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x (.f64 x #s(literal -1/20160 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal -1/20160 binary64))) #s(literal 1/360 binary64)))))))
(.f64 (/.f64 (+.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/406425600 binary64))) #s(literal -1 binary64)) (/.f64 (neg.f64 (.f64 x x)) (-.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))
(.f64 (/.f64 (.f64 x (+.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/406425600 binary64)))) #s(literal -1 binary64)) (/.f64 (neg.f64 x) (-.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))
(.f64 (/.f64 (neg.f64 (.f64 x x)) #s(literal -1 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64))))
(.f64 (/.f64 (neg.f64 (+.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/406425600 binary64)))) #s(literal -1 binary64)) (/.f64 (.f64 x x) (-.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))
(.f64 (/.f64 (neg.f64 (.f64 x (+.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/406425600 binary64))))) #s(literal -1 binary64)) (/.f64 x (-.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(exp.f64 (+.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) (.f64 #s(literal 2 binary64) (log.f64 x))))
(pow.f64 x #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1 binary64))
(.f64 x (.f64 x (*.f64 x x)))
(.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))
(.f64 (.f64 x x) (*.f64 x x))
(.f64 (.f64 x (*.f64 x x)) x)
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64))
(+.f64 (.f64 (.f64 x x) #s(literal 1/129600 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/406425600 binary64))))
(+.f64 (.f64 #s(literal 1/129600 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/406425600 binary64)) (.f64 x x)))
(fma.f64 (.f64 x x) #s(literal 1/129600 binary64) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -1/406425600 binary64))))
(fma.f64 #s(literal 1/129600 binary64) (.f64 x x) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/406425600 binary64)) (*.f64 x x)))
(/.f64 (.f64 (+.f64 #s(literal 1/2176782336000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1/67134099304759689216000000 binary64))) (.f64 x x)) (+.f64 #s(literal 1/16796160000 binary64) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/406425600 binary64)))) (+.f64 #s(literal 1/129600 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/406425600 binary64))))))))
(/.f64 (.f64 (-.f64 #s(literal 1/16796160000 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/165181768335360000 binary64))) (.f64 x x)) (+.f64 #s(literal 1/129600 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/406425600 binary64))))))
(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2176782336000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1/67134099304759689216000000 binary64)))) (+.f64 #s(literal 1/16796160000 binary64) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/406425600 binary64)))) (+.f64 #s(literal 1/129600 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/406425600 binary64))))))))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/16796160000 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/165181768335360000 binary64)))) (+.f64 #s(literal 1/129600 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/406425600 binary64))))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1/2176782336000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1/67134099304759689216000000 binary64))) (.f64 x x))) (neg.f64 (+.f64 #s(literal 1/16796160000 binary64) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/406425600 binary64)))) (+.f64 #s(literal 1/129600 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/406425600 binary64)))))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/16796160000 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/165181768335360000 binary64))) (.f64 x x))) (neg.f64 (+.f64 #s(literal 1/129600 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/406425600 binary64)))))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2176782336000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1/67134099304759689216000000 binary64))))) (neg.f64 (+.f64 #s(literal 1/16796160000 binary64) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/406425600 binary64)))) (+.f64 #s(literal 1/129600 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/406425600 binary64)))))))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/16796160000 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/165181768335360000 binary64))))) (neg.f64 (+.f64 #s(literal 1/129600 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/406425600 binary64)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/129600 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/406425600 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/129600 binary64)) (.f64 (.f64 x x) #s(literal 1/129600 binary64))) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/406425600 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/406425600 binary64)))) (.f64 (.f64 (.f64 x x) #s(literal 1/129600 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -1/406425600 binary64)))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/129600 binary64) (.f64 x x)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/406425600 binary64)) (.f64 x x)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 #s(literal 1/129600 binary64) (.f64 x x)) (.f64 #s(literal 1/129600 binary64) (.f64 x x))) (-.f64 (.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/406425600 binary64)) (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/406425600 binary64)) (.f64 x x))) (.f64 (.f64 #s(literal 1/129600 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/406425600 binary64)) (*.f64 x x))))))
(.f64 x (.f64 x (+.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/406425600 binary64)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/406425600 binary64))))
(.f64 (+.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/406425600 binary64))) (.f64 x x))
(.f64 (.f64 x (+.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/406425600 binary64)))) x)

simplify217.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

2414×	`-lowering-.f32`
2414×	`-lowering-.f64`
1634×	`sum3-define`
1346×	`+-lowering-+.f64`
1346×	`+-lowering-+.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	89	1982
1	301	1883
2	912	1863
3	2927	1861
4	5455	1861
0	8258	1861

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

Inputs
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(* 1/20160 (pow x 7))
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/20160 (pow x 7))
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
1
(+ 1 (* 1/12 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))
(* 1/20160 (pow x 6))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/20160 (pow x 6))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(* 1/20160 (pow x 6))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* 1/20160 (pow x 6))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* 1/360 (pow x 6))
(* 1/360 (pow x 6))
(* 1/360 (pow x 6))
(* 1/360 (pow x 6))
(* 1/360 (pow x 6))
(* 1/360 (pow x 6))
(* 1/360 (pow x 6))
(* 1/360 (pow x 6))
(* 1/360 (pow x 6))
(* 1/360 (pow x 6))
(* 1/360 (pow x 6))
(* 1/360 (pow x 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)
(* 1/360 (pow x 4))
(* 1/360 (pow x 4))
(* 1/360 (pow x 4))
(* 1/360 (pow x 4))
(* 1/360 (pow x 4))
(* 1/360 (pow x 4))
(* 1/360 (pow x 4))
(* 1/360 (pow x 4))
(* 1/360 (pow x 4))
(* 1/360 (pow x 4))
(* 1/360 (pow x 4))
(* 1/360 (pow x 4))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/20160 (pow x 2))))
(* (pow x 6) (+ 1/360 (* 1/20160 (pow x 2))))
(* (pow x 6) (+ 1/360 (* 1/20160 (pow x 2))))
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* 1/360 (pow x 4))
(* (pow x 4) (+ 1/360 (* 1/20160 (pow x 2))))
(* (pow x 4) (+ 1/360 (* 1/20160 (pow x 2))))
(* (pow x 4) (+ 1/360 (* 1/20160 (pow x 2))))
(* 1/20160 (pow x 6))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* 1/20160 (pow x 6))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))
(* 1/20160 (pow x 4))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* 1/20160 (pow x 4))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
1
(+ 1 (* 1/12 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))
(* 1/20160 (pow x 6))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/20160 (pow x 6))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(* 1/20160 (pow x 6))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* 1/20160 (pow x 6))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(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)
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))
(* 1/20160 (pow x 4))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* 1/20160 (pow x 4))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* 1/129600 (pow x 2))
(* (pow x 2) (+ 1/129600 (* -1/406425600 (pow x 4))))
(* (pow x 2) (+ 1/129600 (* -1/406425600 (pow x 4))))
(* (pow x 2) (+ 1/129600 (* -1/406425600 (pow x 4))))
(* -1/406425600 (pow x 6))
(* (pow x 6) (- (* 1/129600 (/ 1 (pow x 4))) 1/406425600))
(* (pow x 6) (- (* 1/129600 (/ 1 (pow x 4))) 1/406425600))
(* (pow x 6) (- (* 1/129600 (/ 1 (pow x 4))) 1/406425600))
(* -1/406425600 (pow x 6))
(* (pow x 6) (- (* 1/129600 (/ 1 (pow x 4))) 1/406425600))
(* (pow x 6) (- (* 1/129600 (/ 1 (pow x 4))) 1/406425600))
(* (pow x 6) (- (* 1/129600 (/ 1 (pow x 4))) 1/406425600))

Outputs
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64)))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64))))))))))
(* 1/20160 (pow x 8))
(.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) #s(literal 1/20160 binary64)) (.f64 x (.f64 x (.f64 x x)))))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (*.f64 x x))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (+.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal 1/12 binary64) x) (.f64 x (*.f64 x x)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(.f64 (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (+.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (.f64 x x))) (+.f64 (/.f64 (/.f64 #s(literal 1/12 binary64) x) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))))
(* 1/20160 (pow x 8))
(.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) #s(literal 1/20160 binary64)) (.f64 x (.f64 x (.f64 x x)))))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (*.f64 x x))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (+.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal 1/12 binary64) x) (.f64 x (*.f64 x x)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(.f64 (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (+.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (.f64 x x))) (+.f64 (/.f64 (/.f64 #s(literal 1/12 binary64) x) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (*.f64 x x) #s(literal 1/360 binary64)))))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))
(* 1/20160 (pow x 7))
(.f64 #s(literal 1/20160 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (.f64 x x))) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(.f64 (+.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal 1/12 binary64) x) (.f64 x (.f64 x x)))) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(.f64 (+.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (.f64 x x))) (+.f64 (/.f64 (/.f64 #s(literal 1/12 binary64) x) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))))
(* 1/20160 (pow x 7))
(.f64 #s(literal 1/20160 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (.f64 x x))) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))
(.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (-.f64 #s(literal 1/20160 binary64) (/.f64 (+.f64 #s(literal -1/360 binary64) (/.f64 #s(literal -1/12 binary64) (.f64 x x))) (*.f64 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
(.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (-.f64 (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (.f64 x x)))))
1
#s(literal 1 binary64)
(+ 1 (* 1/12 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))))))
(+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64))))))))
(* 1/20160 (pow x 6))
(.f64 (.f64 (.f64 x x) #s(literal 1/20160 binary64)) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(.f64 (+.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal 1/12 binary64) x) (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(+.f64 #s(literal 1 binary64) (.f64 (+.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal 1/12 binary64) x) (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))))
(* 1/20160 (pow x 6))
(.f64 (.f64 (.f64 x x) #s(literal 1/20160 binary64)) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(.f64 (+.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal 1/12 binary64) x) (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(+.f64 #s(literal 1 binary64) (.f64 (+.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal 1/12 binary64) x) (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64)))))
(* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))))
(* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))))
(* 1/20160 (pow x 6))
(.f64 (.f64 (.f64 x x) #s(literal 1/20160 binary64)) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(.f64 (+.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal 1/12 binary64) x) (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(.f64 (+.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal 1/12 binary64) x) (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(* 1/20160 (pow x 6))
(.f64 (.f64 (.f64 x x) #s(literal 1/20160 binary64)) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(.f64 (+.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal 1/12 binary64) x) (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(.f64 (+.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal 1/12 binary64) x) (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(* 1/360 (pow x 6))
(.f64 x (.f64 x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/360 binary64))))))
(* 1/360 (pow x 6))
(.f64 x (.f64 x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/360 binary64))))))
(* 1/360 (pow x 6))
(.f64 x (.f64 x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/360 binary64))))))
(* 1/360 (pow x 6))
(.f64 x (.f64 x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/360 binary64))))))
(* 1/360 (pow x 6))
(.f64 x (.f64 x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/360 binary64))))))
(* 1/360 (pow x 6))
(.f64 x (.f64 x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/360 binary64))))))
(* 1/360 (pow x 6))
(.f64 x (.f64 x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/360 binary64))))))
(* 1/360 (pow x 6))
(.f64 x (.f64 x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/360 binary64))))))
(* 1/360 (pow x 6))
(.f64 x (.f64 x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/360 binary64))))))
(* 1/360 (pow x 6))
(.f64 x (.f64 x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/360 binary64))))))
(* 1/360 (pow x 6))
(.f64 x (.f64 x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/360 binary64))))))
(* 1/360 (pow x 6))
(.f64 x (.f64 x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/360 binary64))))))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 1/360 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/360 binary64))))
(* 1/360 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/360 binary64))))
(* 1/360 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/360 binary64))))
(* 1/360 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/360 binary64))))
(* 1/360 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/360 binary64))))
(* 1/360 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/360 binary64))))
(* 1/360 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/360 binary64))))
(* 1/360 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/360 binary64))))
(* 1/360 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/360 binary64))))
(* 1/360 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/360 binary64))))
(* 1/360 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/360 binary64))))
(* 1/360 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/360 binary64))))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(* 1/360 (pow x 6))
(.f64 x (.f64 x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/360 binary64))))))
(* (pow x 6) (+ 1/360 (* 1/20160 (pow x 2))))
(.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64))) (.f64 x (.f64 x (.f64 x x)))))
(* (pow x 6) (+ 1/360 (* 1/20160 (pow x 2))))
(.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64))) (.f64 x (.f64 x (.f64 x x)))))
(* (pow x 6) (+ 1/360 (* 1/20160 (pow x 2))))
(.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64))) (.f64 x (.f64 x (.f64 x x)))))
(* 1/20160 (pow x 8))
(.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) #s(literal 1/20160 binary64)) (.f64 x (.f64 x (.f64 x x)))))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (*.f64 x x))))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (*.f64 x x))))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (*.f64 x x))))
(* 1/20160 (pow x 8))
(.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) #s(literal 1/20160 binary64)) (.f64 x (.f64 x (.f64 x x)))))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (*.f64 x x))))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (*.f64 x x))))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (*.f64 x x))))
(* 1/360 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/360 binary64))))
(* (pow x 4) (+ 1/360 (* 1/20160 (pow x 2))))
(.f64 (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64))) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/360 (* 1/20160 (pow x 2))))
(.f64 (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64))) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/360 (* 1/20160 (pow x 2))))
(.f64 (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64))) (.f64 x (.f64 x (.f64 x x))))
(* 1/20160 (pow x 6))
(.f64 (.f64 (.f64 x x) #s(literal 1/20160 binary64)) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(* 1/20160 (pow x 6))
(.f64 (.f64 (.f64 x x) #s(literal 1/20160 binary64)) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(* 1/360 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/360 binary64))
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))
(* 1/20160 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/20160 binary64))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* 1/20160 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/20160 binary64))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64)))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64))))))))))
(* 1/20160 (pow x 8))
(.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) #s(literal 1/20160 binary64)) (.f64 x (.f64 x (.f64 x x)))))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (*.f64 x x))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (+.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal 1/12 binary64) x) (.f64 x (*.f64 x x)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(.f64 (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (+.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (.f64 x x))) (+.f64 (/.f64 (/.f64 #s(literal 1/12 binary64) x) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))))
(* 1/20160 (pow x 8))
(.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) #s(literal 1/20160 binary64)) (.f64 x (.f64 x (.f64 x x)))))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (*.f64 x x))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (+.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal 1/12 binary64) x) (.f64 x (*.f64 x x)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(.f64 (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (+.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (.f64 x x))) (+.f64 (/.f64 (/.f64 #s(literal 1/12 binary64) x) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))))
1
#s(literal 1 binary64)
(+ 1 (* 1/12 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))))))
(+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64))))))))
(* 1/20160 (pow x 6))
(.f64 (.f64 (.f64 x x) #s(literal 1/20160 binary64)) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(.f64 (+.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal 1/12 binary64) x) (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(+.f64 #s(literal 1 binary64) (.f64 (+.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal 1/12 binary64) x) (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))))
(* 1/20160 (pow x 6))
(.f64 (.f64 (.f64 x x) #s(literal 1/20160 binary64)) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(.f64 (+.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal 1/12 binary64) x) (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(+.f64 #s(literal 1 binary64) (.f64 (+.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal 1/12 binary64) x) (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64)))))
(* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))))
(* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))))
(* 1/20160 (pow x 6))
(.f64 (.f64 (.f64 x x) #s(literal 1/20160 binary64)) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(.f64 (+.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal 1/12 binary64) x) (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(.f64 (+.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal 1/12 binary64) x) (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(* 1/20160 (pow x 6))
(.f64 (.f64 (.f64 x x) #s(literal 1/20160 binary64)) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(.f64 (+.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal 1/12 binary64) x) (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(.f64 (+.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal 1/12 binary64) x) (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(* 1/20160 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/20160 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))
(* 1/360 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/360 binary64))
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))
(* 1/20160 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/20160 binary64))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* 1/20160 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/20160 binary64))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(* 1/129600 (pow x 2))
(.f64 x (.f64 x #s(literal 1/129600 binary64)))
(* (pow x 2) (+ 1/129600 (* -1/406425600 (pow x 4))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/406425600 binary64))))
(* (pow x 2) (+ 1/129600 (* -1/406425600 (pow x 4))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/406425600 binary64))))
(* (pow x 2) (+ 1/129600 (* -1/406425600 (pow x 4))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/406425600 binary64))))
(* -1/406425600 (pow x 6))
(.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x #s(literal -1/406425600 binary64))))
(* (pow x 6) (- (* 1/129600 (/ 1 (pow x 4))) 1/406425600))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -1/406425600 binary64) (/.f64 #s(literal 1/129600 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 6) (- (* 1/129600 (/ 1 (pow x 4))) 1/406425600))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -1/406425600 binary64) (/.f64 #s(literal 1/129600 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 6) (- (* 1/129600 (/ 1 (pow x 4))) 1/406425600))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -1/406425600 binary64) (/.f64 #s(literal 1/129600 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* -1/406425600 (pow x 6))
(.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x #s(literal -1/406425600 binary64))))
(* (pow x 6) (- (* 1/129600 (/ 1 (pow x 4))) 1/406425600))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -1/406425600 binary64) (/.f64 #s(literal 1/129600 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 6) (- (* 1/129600 (/ 1 (pow x 4))) 1/406425600))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -1/406425600 binary64) (/.f64 #s(literal 1/129600 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 6) (- (* 1/129600 (/ 1 (pow x 4))) 1/406425600))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -1/406425600 binary64) (/.f64 #s(literal 1/129600 binary64) (.f64 x (.f64 x (*.f64 x x))))))

eval151.0ms (1.5%)

Compiler: Compiled 43947 to 2787 computations (93.7% saved)

prune150.0ms (1.5%)

Pruning

17 alts after pruning (12 fresh and 5 done)

	Pruned	Kept	Total
New	1238	6	1244
Fresh	4	6	10
Picked	3	2	5
Done	0	3	3
Total	1245	17	1262

Accuracy

100.0%

Counts

1262 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(+.f64 (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))) (.f64 x (.f64 x (.f64 x x)))) (*.f64 x x))
▶	99.1%	(+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64)))))) (*.f64 x x))
	54.4%	(.f64 (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))) (.f64 x (.f64 x (.f64 x x))))
	54.1%	(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64))))
	98.7%	(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))) x)
	98.7%	(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (/.f64 (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x #s(literal -1/406425600 binary64)))) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal -1/20160 binary64) (.f64 x x))))))))
✓	99.1%	(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))))))
✓	98.7%	(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
▶	53.9%	(.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) #s(literal 1/20160 binary64)) (.f64 x (.f64 x (.f64 x x)))))
▶	54.1%	(.f64 (.f64 x x) (.f64 (.f64 (.f64 x #s(literal 1/360 binary64)) (.f64 x x)) x))
	54.4%	(.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))))
	16.1%	(.f64 x (.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (-.f64 (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (*.f64 x x))))))
✓	99.2%	(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))))))
✓	97.7%	(*.f64 x x)
▶	54.4%	(.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (.f64 x x))))
	7.8%	(expm1.f64 x)
✓	7.0%	x

Compiler

Compiled 530 to 278 computations (47.5% saved)

simplify146.0ms (1.5%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64)))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))))))
✓	cost-diff	128	(+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64)))))) (*.f64 x x))
✓	cost-diff	0	(.f64 (.f64 x x) #s(literal 1/20160 binary64))
✓	cost-diff	0	(.f64 (.f64 (.f64 x x) #s(literal 1/20160 binary64)) (.f64 x (.f64 x (.f64 x x))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) #s(literal 1/20160 binary64)) (.f64 x (.f64 x (.f64 x x)))))
✓	cost-diff	0	(.f64 (.f64 x #s(literal 1/360 binary64)) (*.f64 x x))
✓	cost-diff	0	(.f64 (.f64 (.f64 x #s(literal 1/360 binary64)) (.f64 x x)) x)
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (.f64 (.f64 (.f64 x #s(literal 1/360 binary64)) (.f64 x x)) x))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(.f64 x (.f64 x (*.f64 x x)))
✓	cost-diff	0	(.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (.f64 x x))))
✓	cost-diff	0	(.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))
✓	cost-diff	0	(+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64))))))
✓	cost-diff	0	(.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))) (.f64 x (.f64 x (.f64 x x))))
✓	cost-diff	128	(+.f64 (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))) (.f64 x (.f64 x (.f64 x x)))) (*.f64 x x))

Rules

3044×	`fma-define`
2750×	`fma-lowering-fma.f32`
2750×	`fma-lowering-fma.f64`
888×	`-lowering-.f32`
888×	`-lowering-.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	27	266
1	93	221
2	305	217
3	684	209
4	1211	209
5	2048	209
6	2485	209
7	2545	209
8	2576	209
9	2576	209
10	3237	209
11	3237	209
0	3237	209

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (* (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))) (* x (* x (* x x)))) (* x x))
(* (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))) (* x (* x (* x x))))
(+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160)))))
1/12
(* x (* x (+ 1/360 (* (* x x) 1/20160))))
x
(* x (+ 1/360 (* (* x x) 1/20160)))
(+ 1/360 (* (* x x) 1/20160))
1/360
(* (* x x) 1/20160)
(* x x)
1/20160
(* x (* x (* x x)))
(* x (* x x))
(* 1/12 (* x (* x (* x x))))
1/12
(* x (* x (* x x)))
x
(* x (* x x))
(* x x)
(* (* x x) (* (* (* x 1/360) (* x x)) x))
(* x x)
x
(* (* (* x 1/360) (* x x)) x)
(* (* x 1/360) (* x x))
(* x 1/360)
1/360
(* (* x x) (* (* (* x x) 1/20160) (* x (* x (* x x)))))
(* x x)
x
(* (* (* x x) 1/20160) (* x (* x (* x x))))
(* (* x x) 1/20160)
1/20160
(* x (* x (* x x)))
(* x (* x x))
(+ (* (* x x) (* x (* x (+ 1/12 (* (* x x) 1/360))))) (* x x))
(* (* x x) (* x (* x (+ 1/12 (* (* x x) 1/360)))))
(* x x)
x
(* x (* x (+ 1/12 (* (* x x) 1/360))))
(* x (+ 1/12 (* (* x x) 1/360)))
(+ 1/12 (* (* x x) 1/360))
1/12
(* (* x x) 1/360)
1/360

Outputs
(+ (* (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))) (* x (* x (* x x)))) (* x x))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))))))
(* (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))) (* x (* x (* x x))))
(.f64 x (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64))))) (.f64 x (.f64 x x))))
(+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160)))))
(+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))
1/12
#s(literal 1/12 binary64)
(* x (* x (+ 1/360 (* (* x x) 1/20160))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64))))
x
(* x (+ 1/360 (* (* x x) 1/20160)))
(.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (*.f64 x x) #s(literal 1/20160 binary64))))
(+ 1/360 (* (* x x) 1/20160))
(+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))
1/360
#s(literal 1/360 binary64)
(* (* x x) 1/20160)
(.f64 (.f64 x x) #s(literal 1/20160 binary64))
(* x x)
(*.f64 x x)
1/20160
#s(literal 1/20160 binary64)
(* x (* x (* x x)))
(.f64 x (.f64 x (*.f64 x x)))
(* x (* x x))
(.f64 x (.f64 x x))
(* 1/12 (* x (* x (* x x))))
(.f64 x (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x x))))
1/12
#s(literal 1/12 binary64)
(* x (* x (* x x)))
(.f64 x (.f64 x (*.f64 x x)))
x
(* x (* x x))
(.f64 x (.f64 x x))
(* x x)
(*.f64 x x)
(* (* x x) (* (* (* x 1/360) (* x x)) x))
(.f64 x (.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* x x)
(*.f64 x x)
x
(* (* (* x 1/360) (* x x)) x)
(.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (* x 1/360) (* x x))
(.f64 (.f64 x x) (*.f64 x #s(literal 1/360 binary64)))
(* x 1/360)
(*.f64 x #s(literal 1/360 binary64))
1/360
#s(literal 1/360 binary64)
(* (* x x) (* (* (* x x) 1/20160) (* x (* x (* x x)))))
(.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))
(* x x)
(*.f64 x x)
x
(* (* (* x x) 1/20160) (* x (* x (* x x))))
(.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/20160 binary64))))
(* (* x x) 1/20160)
(.f64 (.f64 x x) #s(literal 1/20160 binary64))
1/20160
#s(literal 1/20160 binary64)
(* x (* x (* x x)))
(.f64 x (.f64 x (*.f64 x x)))
(* x (* x x))
(.f64 x (.f64 x x))
(+ (* (* x x) (* x (* x (+ 1/12 (* (* x x) 1/360))))) (* x x))
(.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))) #s(literal 1 binary64))))
(* (* x x) (* x (* x (+ 1/12 (* (* x x) 1/360)))))
(.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))
(* x x)
(*.f64 x x)
x
(* x (* x (+ 1/12 (* (* x x) 1/360))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))
(* x (+ 1/12 (* (* x x) 1/360)))
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal 1/360 binary64)))))
(+ 1/12 (* (* x x) 1/360))
(+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))
1/12
#s(literal 1/12 binary64)
(* (* x x) 1/360)
(.f64 x (.f64 x #s(literal 1/360 binary64)))
1/360
#s(literal 1/360 binary64)

localize150.0ms (1.5%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 (.f64 x x) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))))))
✓	accuracy	99.9%	(.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64)))))
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal 1/360 binary64))
✓	accuracy	99.5%	(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (*.f64 x x) #s(literal 1/360 binary64))))
✓	accuracy	99.9%	(.f64 (.f64 (.f64 x x) #s(literal 1/20160 binary64)) (.f64 x (.f64 x (.f64 x x))))
✓	accuracy	99.9%	(.f64 x (.f64 x (*.f64 x x)))
✓	accuracy	99.9%	(.f64 (.f64 x x) #s(literal 1/20160 binary64))
✓	accuracy	99.8%	(.f64 x (.f64 x x))
✓	accuracy	99.9%	(.f64 (.f64 (.f64 x #s(literal 1/360 binary64)) (.f64 x x)) x)
✓	accuracy	99.9%	(.f64 (.f64 x x) (.f64 (.f64 (.f64 x #s(literal 1/360 binary64)) (.f64 x x)) x))
✓	accuracy	99.8%	(.f64 (.f64 x #s(literal 1/360 binary64)) (*.f64 x x))
✓	accuracy	99.6%	(*.f64 x #s(literal 1/360 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(.f64 x (.f64 x (*.f64 x x)))
✓	accuracy	99.8%	(.f64 x (.f64 x x))
✓	accuracy	99.8%	(.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (.f64 x x))))
✓	accuracy	99.8%	(.f64 x (.f64 x x))
✓	accuracy	99.8%	(.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))) (.f64 x (.f64 x (.f64 x x))))
✓	accuracy	99.8%	(.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))
✓	accuracy	99.6%	(.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (*.f64 x x) #s(literal 1/20160 binary64))))

Results

99.0ms

256×

valid

Compiler

Compiled 299 to 28 computations (90.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-mult: 46.0ms (74.4% of total)

...c/correct-round.rkt:119:19: 10.0ms (16.2% of total)

ival-add: 6.0ms (9.7% of total)

const: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Counts

21 → 252

Calls

Call 1

Inputs
#<alt (+ (* (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))) (* x (* x (* x x)))) (* x x))>
#<alt (* (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))) (* x (* x (* x x))))>
#<alt (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160)))))>
#<alt (* x (* x (+ 1/360 (* (* x x) 1/20160))))>
#<alt (* 1/12 (* x (* x (* x x))))>
#<alt (* x (* x (* x x)))>
#<alt (* x (* x x))>
#<alt (* x x)>
#<alt (* (* x x) (* (* (* x 1/360) (* x x)) x))>
#<alt (* (* (* x 1/360) (* x x)) x)>
#<alt (* (* x 1/360) (* x x))>
#<alt (* (* x x) (* (* (* x x) 1/20160) (* x (* x (* x x)))))>
#<alt (* (* (* x x) 1/20160) (* x (* x (* x x))))>
#<alt (* (* x x) 1/20160)>
#<alt (+ (* (* x x) (* x (* x (+ 1/12 (* (* x x) 1/360))))) (* x x))>
#<alt (* (* x x) (* x (* x (+ 1/12 (* (* x x) 1/360)))))>
#<alt (* x (* x (+ 1/12 (* (* x x) 1/360))))>
#<alt (* x (+ 1/360 (* (* x x) 1/20160)))>
#<alt (* x 1/360)>
#<alt (* x (+ 1/12 (* (* x x) 1/360)))>
#<alt (* (* x x) 1/360)>

Outputs
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt (* 1/20160 (pow x 8))>
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/20160 (pow x 8))>
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/12 (pow x 4))>
#<alt (* (pow x 4) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))>
#<alt (* 1/20160 (pow x 8))>
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* 1/20160 (pow x 8))>
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt 1/12>
#<alt (+ 1/12 (* 1/360 (pow x 2)))>
#<alt (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))>
#<alt (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* 1/360 (pow x 2))>
#<alt (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 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 (* 1/360 (pow x 6))>
#<alt (* 1/360 (pow x 6))>
#<alt (* 1/360 (pow x 6))>
#<alt (* 1/360 (pow x 6))>
#<alt (* 1/360 (pow x 6))>
#<alt (* 1/360 (pow x 6))>
#<alt (* 1/360 (pow x 6))>
#<alt (* 1/360 (pow x 6))>
#<alt (* 1/360 (pow x 6))>
#<alt (* 1/360 (pow x 6))>
#<alt (* 1/360 (pow x 6))>
#<alt (* 1/360 (pow x 6))>
#<alt (* 1/360 (pow x 4))>
#<alt (* 1/360 (pow x 4))>
#<alt (* 1/360 (pow x 4))>
#<alt (* 1/360 (pow x 4))>
#<alt (* 1/360 (pow x 4))>
#<alt (* 1/360 (pow x 4))>
#<alt (* 1/360 (pow x 4))>
#<alt (* 1/360 (pow x 4))>
#<alt (* 1/360 (pow x 4))>
#<alt (* 1/360 (pow x 4))>
#<alt (* 1/360 (pow x 4))>
#<alt (* 1/360 (pow x 4))>
#<alt (* 1/360 (pow x 3))>
#<alt (* 1/360 (pow x 3))>
#<alt (* 1/360 (pow x 3))>
#<alt (* 1/360 (pow x 3))>
#<alt (* 1/360 (pow x 3))>
#<alt (* 1/360 (pow x 3))>
#<alt (* 1/360 (pow x 3))>
#<alt (* 1/360 (pow x 3))>
#<alt (* 1/360 (pow x 3))>
#<alt (* 1/360 (pow x 3))>
#<alt (* 1/360 (pow x 3))>
#<alt (* 1/360 (pow x 3))>
#<alt (* 1/20160 (pow x 8))>
#<alt (* 1/20160 (pow x 8))>
#<alt (* 1/20160 (pow x 8))>
#<alt (* 1/20160 (pow x 8))>
#<alt (* 1/20160 (pow x 8))>
#<alt (* 1/20160 (pow x 8))>
#<alt (* 1/20160 (pow x 8))>
#<alt (* 1/20160 (pow x 8))>
#<alt (* 1/20160 (pow x 8))>
#<alt (* 1/20160 (pow x 8))>
#<alt (* 1/20160 (pow x 8))>
#<alt (* 1/20160 (pow x 8))>
#<alt (* 1/20160 (pow x 6))>
#<alt (* 1/20160 (pow x 6))>
#<alt (* 1/20160 (pow x 6))>
#<alt (* 1/20160 (pow x 6))>
#<alt (* 1/20160 (pow x 6))>
#<alt (* 1/20160 (pow x 6))>
#<alt (* 1/20160 (pow x 6))>
#<alt (* 1/20160 (pow x 6))>
#<alt (* 1/20160 (pow x 6))>
#<alt (* 1/20160 (pow x 6))>
#<alt (* 1/20160 (pow x 6))>
#<alt (* 1/20160 (pow x 6))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/12 (pow x 4))>
#<alt (* (pow x 4) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* 1/12 (pow x 2))>
#<alt (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* 1/360 (pow x 4))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* 1/360 (pow x 4))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* 1/360 x)>
#<alt (* x (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* x (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* x (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/12 x)>
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* 1/360 (pow x 3))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* 1/360 (pow x 3))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>

Calls

63 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(* (* x x) (* (* (* x x) 1/20160) (* x (* x (* x x)))))
0.0ms	x	@	-inf	(* (* x 1/360) (* x x))
0.0ms	x	@	inf	(* (* x x) (* (* (* x x) 1/20160) (* x (* x (* x x)))))
0.0ms	x	@	0	(* x 1/360)
0.0ms	x	@	inf	(* 1/12 (* x (* x (* x x))))

rewrite373.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

3822×	`-lowering-.f32`
3822×	`-lowering-.f64`
3086×	`/-lowering-/.f32`
3086×	`/-lowering-/.f64`
2140×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	206
1	158	163
2	1227	161
0	8437	161

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 461

Calls

Call 1

Inputs
(+ (* (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))) (* x (* x (* x x)))) (* x x))
(* (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))) (* x (* x (* x x))))
(+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160)))))
(* x (* x (+ 1/360 (* (* x x) 1/20160))))
(* 1/12 (* x (* x (* x x))))
(* x (* x (* x x)))
(* x (* x x))
(* x x)
(* (* x x) (* (* (* x 1/360) (* x x)) x))
(* (* (* x 1/360) (* x x)) x)
(* (* x 1/360) (* x x))
(* (* x x) (* (* (* x x) 1/20160) (* x (* x (* x x)))))
(* (* (* x x) 1/20160) (* x (* x (* x x))))
(* (* x x) 1/20160)
(+ (* (* x x) (* x (* x (+ 1/12 (* (* x x) 1/360))))) (* x x))
(* (* x x) (* x (* x (+ 1/12 (* (* x x) 1/360)))))
(* x (* x (+ 1/12 (* (* x x) 1/360))))
(* x (+ 1/360 (* (* x x) 1/20160)))
(* x 1/360)
(* x (+ 1/12 (* (* x x) 1/360)))
(* (* x x) 1/360)

Outputs
(+.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))) (.f64 x (.f64 x (*.f64 x x)))))
(+.f64 (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))) (.f64 x (.f64 x (.f64 x x)))) (*.f64 x x))
(+.f64 (/.f64 (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))) (.f64 x (.f64 x (.f64 x x)))))) (-.f64 (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))) (.f64 x (.f64 x (.f64 x x)))) (.f64 x x))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))) (.f64 x (.f64 x (.f64 x x)))) (.f64 x x)))))
(-.f64 (/.f64 (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))) (.f64 x (.f64 x (.f64 x x)))))) (-.f64 (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))) (.f64 x (.f64 x (.f64 x x)))) (.f64 x x))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))) (.f64 x (.f64 x (.f64 x x)))) (.f64 x x))))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))) (.f64 x (.f64 x (.f64 x x)))))) (-.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))) (.f64 x (.f64 x (.f64 x x)))))))
(fma.f64 x x (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))) (.f64 x (.f64 x (.f64 x x)))))
(fma.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64)))))))) (.f64 x x))
(fma.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64)))))))) (.f64 x x))
(fma.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))) (.f64 x (.f64 x (.f64 x x))) (.f64 x x))
(fma.f64 (.f64 x (.f64 x x)) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64)))))))) (.f64 x x))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))) (.f64 x x))
(fma.f64 (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64)))))))) (.f64 x (.f64 x x)) (.f64 x x))
(fma.f64 (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))) (.f64 x x)) (.f64 x x) (.f64 x x))
(fma.f64 (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))) (.f64 x (.f64 x x))) x (.f64 x x))
(fma.f64 (.f64 (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64)))))))) x) (.f64 x x) (.f64 x x))
(fma.f64 (.f64 (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64)))))))) (.f64 x x)) x (.f64 x x))
(/.f64 (+.f64 (.f64 (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))) (.f64 x (.f64 x (.f64 x x))))))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x x) (-.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))) (.f64 x (.f64 x (*.f64 x x))))))))
(/.f64 (+.f64 (.f64 (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))) (.f64 x (.f64 x (.f64 x x))))))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))) (.f64 x (.f64 x (*.f64 x x))))))))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (.f64 x (.f64 x x)))) (-.f64 (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))) (.f64 x (.f64 x (.f64 x x)))) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))) (.f64 x (.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))) (.f64 x (.f64 x (.f64 x x))))))) (+.f64 (.f64 (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))) (.f64 x (.f64 x (.f64 x x))))))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))) (.f64 x (.f64 x (*.f64 x x)))))) #s(literal 1 binary64)))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 #s(literal 1/12 binary64) x) (.f64 #s(literal 1/12 binary64) x)) (-.f64 (.f64 (.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x x))) (.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x x)))) (.f64 (.f64 #s(literal 1/12 binary64) x) (.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x x)))))) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/46656000 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/12 binary64) x) (.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x x)))) (-.f64 (.f64 (.f64 #s(literal 1/12 binary64) x) (.f64 #s(literal 1/12 binary64) x)) (.f64 (.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x x))) (.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/144 binary64) (.f64 (.f64 #s(literal 1/360 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal 1/360 binary64) (.f64 x x)) #s(literal -1/12 binary64)))) (.f64 x (+.f64 #s(literal 1/1728 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/46656000 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/360 binary64) (.f64 x x))) (.f64 x (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/129600 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/144 binary64) (.f64 (.f64 #s(literal 1/360 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal 1/360 binary64) (.f64 x x)) #s(literal -1/12 binary64)))) (.f64 (+.f64 #s(literal 1/1728 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/46656000 binary64)))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/360 binary64) (.f64 x x))) (.f64 (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/129600 binary64))) x)))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/46656000 binary64))))) (+.f64 (.f64 (.f64 #s(literal 1/12 binary64) x) (.f64 #s(literal 1/12 binary64) x)) (-.f64 (.f64 (.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x x))) (.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x x)))) (.f64 (.f64 #s(literal 1/12 binary64) x) (.f64 x (.f64 #s(literal 1/360 binary64) (*.f64 x x)))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/12 binary64) x) (.f64 #s(literal 1/12 binary64) x)) (.f64 (.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x x))) (.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x x))))) (-.f64 (.f64 #s(literal 1/12 binary64) x) (.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x x)))))
(/.f64 (.f64 x (+.f64 #s(literal 1/1728 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/46656000 binary64))))) (+.f64 #s(literal 1/144 binary64) (.f64 (.f64 #s(literal 1/360 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal 1/360 binary64) (.f64 x x)) #s(literal -1/12 binary64)))))
(/.f64 (.f64 x (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64)))) (-.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/360 binary64) (*.f64 x x))))
(/.f64 (.f64 (+.f64 #s(literal 1/1728 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/46656000 binary64)))) x) (+.f64 #s(literal 1/144 binary64) (.f64 (.f64 #s(literal 1/360 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal 1/360 binary64) (.f64 x x)) #s(literal -1/12 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64))) x) (-.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/360 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/46656000 binary64)))))) (neg.f64 (+.f64 (.f64 (.f64 #s(literal 1/12 binary64) x) (.f64 #s(literal 1/12 binary64) x)) (-.f64 (.f64 (.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x x))) (.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x x)))) (.f64 (.f64 #s(literal 1/12 binary64) x) (.f64 x (.f64 #s(literal 1/360 binary64) (*.f64 x x))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 #s(literal 1/12 binary64) x) (.f64 #s(literal 1/12 binary64) x)) (.f64 (.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x x))) (.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x x)))))) (neg.f64 (-.f64 (.f64 #s(literal 1/12 binary64) x) (.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x x))))))
(/.f64 (neg.f64 (.f64 x (+.f64 #s(literal 1/1728 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/46656000 binary64)))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/144 binary64) (.f64 (.f64 #s(literal 1/360 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal 1/360 binary64) (.f64 x x)) #s(literal -1/12 binary64))))))
(/.f64 (neg.f64 (.f64 x (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/360 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1/1728 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/46656000 binary64)))) x)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/144 binary64) (.f64 (.f64 #s(literal 1/360 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal 1/360 binary64) (.f64 x x)) #s(literal -1/12 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64))) x)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/360 binary64) (*.f64 x x)))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/46656000 binary64)))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64))) (+.f64 (.f64 (.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x x))) (.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x x)))) (-.f64 (.f64 (.f64 #s(literal 1/12 binary64) x) (.f64 #s(literal 1/12 binary64) x)) (.f64 (.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x x))) (*.f64 #s(literal 1/12 binary64) x)))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x x))) (.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x x)))) (.f64 (.f64 #s(literal 1/12 binary64) x) (.f64 #s(literal 1/12 binary64) x))) (-.f64 (.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x x))) (.f64 #s(literal 1/12 binary64) x)))
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/360 binary64) (*.f64 x x))))
(.f64 (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/360 binary64) (*.f64 x x))) x)
(.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/46656000 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 #s(literal 1/12 binary64) x) (.f64 #s(literal 1/12 binary64) x)) (-.f64 (.f64 (.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x x))) (.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x x)))) (.f64 (.f64 #s(literal 1/12 binary64) x) (.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x x))))))))
(.f64 (-.f64 (.f64 (.f64 #s(literal 1/12 binary64) x) (.f64 #s(literal 1/12 binary64) x)) (.f64 (.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x x))) (.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/12 binary64) x) (.f64 x (.f64 #s(literal 1/360 binary64) (*.f64 x x))))))
(.f64 (.f64 x (+.f64 #s(literal 1/1728 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/46656000 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/144 binary64) (.f64 (.f64 #s(literal 1/360 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal -1/12 binary64))))))
(.f64 (.f64 x (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/360 binary64) (.f64 x x)))))
(.f64 (.f64 (+.f64 #s(literal 1/1728 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/46656000 binary64)))) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/144 binary64) (.f64 (.f64 #s(literal 1/360 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal -1/12 binary64))))))
(.f64 (.f64 (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64))) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/360 binary64) (.f64 x x)))))
(.f64 x (.f64 x #s(literal 1/360 binary64)))
(.f64 #s(literal 1/360 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/360 binary64))
(.f64 (.f64 x #s(literal 1/360 binary64)) x)

simplify196.0ms (2%)

Algorithm

1×	egg-herbie

Rules

2908×	`-lowering-.f32`
2908×	`-lowering-.f64`
2338×	`+-lowering-+.f64`
2338×	`+-lowering-+.f32`
1430×	`sum3-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	69	1736
1	237	1651
2	714	1627
3	2208	1616
4	3735	1604
5	6470	1604
0	8180	1604

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

Calls

Call 1

Inputs
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (* 1/360 (pow x 2))))
(* (pow x 4) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(* (pow x 4) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
1/12
(+ 1/12 (* 1/360 (pow x 2)))
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))
(* 1/20160 (pow x 4))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* 1/20160 (pow x 4))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))
(* 1/20160 (pow x 4))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* 1/20160 (pow x 4))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 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)
(* 1/360 (pow x 6))
(* 1/360 (pow x 6))
(* 1/360 (pow x 6))
(* 1/360 (pow x 6))
(* 1/360 (pow x 6))
(* 1/360 (pow x 6))
(* 1/360 (pow x 6))
(* 1/360 (pow x 6))
(* 1/360 (pow x 6))
(* 1/360 (pow x 6))
(* 1/360 (pow x 6))
(* 1/360 (pow x 6))
(* 1/360 (pow x 4))
(* 1/360 (pow x 4))
(* 1/360 (pow x 4))
(* 1/360 (pow x 4))
(* 1/360 (pow x 4))
(* 1/360 (pow x 4))
(* 1/360 (pow x 4))
(* 1/360 (pow x 4))
(* 1/360 (pow x 4))
(* 1/360 (pow x 4))
(* 1/360 (pow x 4))
(* 1/360 (pow x 4))
(* 1/360 (pow x 3))
(* 1/360 (pow x 3))
(* 1/360 (pow x 3))
(* 1/360 (pow x 3))
(* 1/360 (pow x 3))
(* 1/360 (pow x 3))
(* 1/360 (pow x 3))
(* 1/360 (pow x 3))
(* 1/360 (pow x 3))
(* 1/360 (pow x 3))
(* 1/360 (pow x 3))
(* 1/360 (pow x 3))
(* 1/20160 (pow x 8))
(* 1/20160 (pow x 8))
(* 1/20160 (pow x 8))
(* 1/20160 (pow x 8))
(* 1/20160 (pow x 8))
(* 1/20160 (pow x 8))
(* 1/20160 (pow x 8))
(* 1/20160 (pow x 8))
(* 1/20160 (pow x 8))
(* 1/20160 (pow x 8))
(* 1/20160 (pow x 8))
(* 1/20160 (pow x 8))
(* 1/20160 (pow x 6))
(* 1/20160 (pow x 6))
(* 1/20160 (pow x 6))
(* 1/20160 (pow x 6))
(* 1/20160 (pow x 6))
(* 1/20160 (pow x 6))
(* 1/20160 (pow x 6))
(* 1/20160 (pow x 6))
(* 1/20160 (pow x 6))
(* 1/20160 (pow x 6))
(* 1/20160 (pow x 6))
(* 1/20160 (pow x 6))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (* 1/360 (pow x 2))))
(* (pow x 4) (+ 1/12 (* 1/360 (pow x 2))))
(* (pow x 4) (+ 1/12 (* 1/360 (pow x 2))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(* 1/360 (pow x 4))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 4))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 x)
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(* 1/20160 (pow x 3))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* 1/20160 (pow x 3))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/12 x)
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* 1/360 (pow x 3))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 3))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))

Outputs
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/12 binary64)))))
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(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/12 binary64)))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))
(* 1/360 (pow x 6))
(.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))
(* 1/360 (pow x 6))
(.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))
(* 1/12 (pow x 4))
(.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/12 (* 1/360 (pow x 2))))
(.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))
(* (pow x 4) (+ 1/12 (* 1/360 (pow x 2))))
(.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))
(* (pow x 4) (+ 1/12 (* 1/360 (pow x 2))))
(.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))
(* 1/360 (pow x 6))
(.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))
(* 1/360 (pow x 6))
(.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))
(* 1/12 (pow x 2))
(.f64 x (.f64 x #s(literal 1/12 binary64)))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))
(* 1/360 (pow x 4))
(.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/360 binary64)))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))
(* 1/360 (pow x 4))
(.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/360 binary64)))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (*.f64 x x) #s(literal 1/20160 binary64))))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (*.f64 x x) #s(literal 1/20160 binary64))))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (*.f64 x x) #s(literal 1/20160 binary64))))
(* 1/20160 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/20160 binary64)))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (*.f64 x x) #s(literal 1/20160 binary64))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (*.f64 x x) #s(literal 1/20160 binary64))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (*.f64 x x) #s(literal 1/20160 binary64))))
(* 1/20160 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/20160 binary64)))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (*.f64 x x) #s(literal 1/20160 binary64))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (*.f64 x x) #s(literal 1/20160 binary64))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (*.f64 x x) #s(literal 1/20160 binary64))))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal 1/360 binary64)))))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal 1/360 binary64)))))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal 1/360 binary64)))))
(* 1/360 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/360 binary64))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal 1/360 binary64)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal 1/360 binary64)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal 1/360 binary64)))))
(* 1/360 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/360 binary64))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal 1/360 binary64)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal 1/360 binary64)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal 1/360 binary64)))))
(* 1/360 (pow x 2))
(.f64 x (.f64 x #s(literal 1/360 binary64)))
(* 1/360 (pow x 2))
(.f64 x (.f64 x #s(literal 1/360 binary64)))
(* 1/360 (pow x 2))
(.f64 x (.f64 x #s(literal 1/360 binary64)))
(* 1/360 (pow x 2))
(.f64 x (.f64 x #s(literal 1/360 binary64)))
(* 1/360 (pow x 2))
(.f64 x (.f64 x #s(literal 1/360 binary64)))
(* 1/360 (pow x 2))
(.f64 x (.f64 x #s(literal 1/360 binary64)))
(* 1/360 (pow x 2))
(.f64 x (.f64 x #s(literal 1/360 binary64)))
(* 1/360 (pow x 2))
(.f64 x (.f64 x #s(literal 1/360 binary64)))
(* 1/360 (pow x 2))
(.f64 x (.f64 x #s(literal 1/360 binary64)))
(* 1/360 (pow x 2))
(.f64 x (.f64 x #s(literal 1/360 binary64)))
(* 1/360 (pow x 2))
(.f64 x (.f64 x #s(literal 1/360 binary64)))
(* 1/360 (pow x 2))
(.f64 x (.f64 x #s(literal 1/360 binary64)))

eval156.0ms (1.6%)

Compiler: Compiled 32098 to 1965 computations (93.9% saved)

prune99.0ms (1%)

Pruning

18 alts after pruning (9 fresh and 9 done)

	Pruned	Kept	Total
New	1006	3	1009
Fresh	1	6	7
Picked	1	4	5
Done	0	5	5
Total	1008	18	1026

Accuracy

100.0%

Counts

1026 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.2%	(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))))) (.f64 x (.f64 x (.f64 x x)))) (*.f64 x x))
✓	99.2%	(+.f64 (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))) (.f64 x (.f64 x (.f64 x x)))) (*.f64 x x))
✓	99.1%	(+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64)))))) (*.f64 x x))
	54.4%	(.f64 (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64))))) (.f64 x (.f64 x (.f64 x x))))
	54.4%	(.f64 (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))) (.f64 x (.f64 x (.f64 x x))))
	54.1%	(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64))))
	54.4%	(.f64 (.f64 (.f64 #s(literal 1/12 binary64) x) (.f64 x x)) x)
	98.7%	(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))) x)
	98.7%	(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (/.f64 (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x #s(literal -1/406425600 binary64)))) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal -1/20160 binary64) (.f64 x x))))))))
✓	99.1%	(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))))))
✓	98.7%	(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
✓	53.9%	(.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) #s(literal 1/20160 binary64)) (.f64 x (.f64 x (.f64 x x)))))
✓	54.1%	(.f64 (.f64 x x) (.f64 (.f64 (.f64 x #s(literal 1/360 binary64)) (.f64 x x)) x))
	16.1%	(.f64 x (.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (-.f64 (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (*.f64 x x))))))
✓	99.2%	(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))))))
✓	97.7%	(*.f64 x x)
	7.8%	(expm1.f64 x)
✓	7.0%	x

Compiler

Compiled 1034 to 332 computations (67.9% saved)

regimes18.0ms (0.2%)

Counts

31 → 1

Calls

Call 1

Inputs
x
(*.f64 x x)
(.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (.f64 x x))))
(.f64 (.f64 (.f64 #s(literal 1/12 binary64) x) (.f64 x x)) x)
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))) x)
(.f64 (.f64 x x) (.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (.f64 x x)))))
(.f64 (.f64 x x) (.f64 (.f64 (.f64 x #s(literal 1/360 binary64)) (.f64 x x)) x))
(.f64 (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))) (.f64 x (.f64 x (.f64 x x))))
(.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 #s(literal 1/20160 binary64) (.f64 x (.f64 x (.f64 x x))))))
(.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) #s(literal 1/20160 binary64)) (.f64 x (.f64 x (.f64 x x)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))))))
(.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64))))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64))))
(+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64)))))) (*.f64 x x))
(.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))))
(.f64 (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64))))) (.f64 x (.f64 x (.f64 x x))))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64))))))))
(+.f64 (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))) (.f64 x (.f64 x (.f64 x x)))) (*.f64 x x))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))))) (.f64 x (.f64 x (.f64 x x)))) (*.f64 x x))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (/.f64 (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x #s(literal -1/406425600 binary64)))) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal -1/20160 binary64) (.f64 x x))))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/129600 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/406425600 binary64))) (.f64 x x)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal -1/20160 binary64) (.f64 x x))))))))
(.f64 x (.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (-.f64 (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (*.f64 x x))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/46656000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8193540096000 binary64)))) (.f64 x x)) (+.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/20160 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal 1/20160 binary64))) #s(literal 1/360 binary64)))))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8193540096000 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 1/46656000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/20160 binary64))))) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/20160 binary64)))))) (-.f64 (.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/20160 binary64))))) (.f64 (.f64 x x) #s(literal 1/360 binary64))))))))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64)))))) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64)))))) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64)))))))))) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64)))))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))) #s(literal 1 binary64)))))
(expm1.f64 x)
(+.f64 (exp.f64 x) #s(literal -1 binary64))
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))

Outputs
(+.f64 (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))) (.f64 x (.f64 x (.f64 x x)))) (*.f64 x x))

Calls

2 calls:

9.0ms	x
7.0ms	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
99.2%	1	`x`
99.2%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes8.0ms (0.1%)

Counts

19 → 1

Calls

Call 1

Inputs
x
(*.f64 x x)
(.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (.f64 x x))))
(.f64 (.f64 (.f64 #s(literal 1/12 binary64) x) (.f64 x x)) x)
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))) x)
(.f64 (.f64 x x) (.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (.f64 x x)))))
(.f64 (.f64 x x) (.f64 (.f64 (.f64 x #s(literal 1/360 binary64)) (.f64 x x)) x))
(.f64 (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))) (.f64 x (.f64 x (.f64 x x))))
(.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 #s(literal 1/20160 binary64) (.f64 x (.f64 x (.f64 x x))))))
(.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) #s(literal 1/20160 binary64)) (.f64 x (.f64 x (.f64 x x)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))))))
(.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64))))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64))))
(+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64)))))) (*.f64 x x))
(.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))))
(.f64 (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64))))) (.f64 x (.f64 x (.f64 x x))))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64))))))))

Outputs

(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
99.2%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

Counts

17 → 1

Calls

Call 1

Inputs
x
(*.f64 x x)
(.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (.f64 x x))))
(.f64 (.f64 (.f64 #s(literal 1/12 binary64) x) (.f64 x x)) x)
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))) x)
(.f64 (.f64 x x) (.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (.f64 x x)))))
(.f64 (.f64 x x) (.f64 (.f64 (.f64 x #s(literal 1/360 binary64)) (.f64 x x)) x))
(.f64 (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))) (.f64 x (.f64 x (.f64 x x))))
(.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 #s(literal 1/20160 binary64) (.f64 x (.f64 x (.f64 x x))))))
(.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) #s(literal 1/20160 binary64)) (.f64 x (.f64 x (.f64 x x)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))))))
(.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64))))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64))))
(+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64)))))) (*.f64 x x))
(.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))))
(.f64 (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64))))) (.f64 x (.f64 x (.f64 x x))))

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
99.1%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

Counts

14 → 1

Calls

Call 1

Inputs
x
(*.f64 x x)
(.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (.f64 x x))))
(.f64 (.f64 (.f64 #s(literal 1/12 binary64) x) (.f64 x x)) x)
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))) x)
(.f64 (.f64 x x) (.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (.f64 x x)))))
(.f64 (.f64 x x) (.f64 (.f64 (.f64 x #s(literal 1/360 binary64)) (.f64 x x)) x))
(.f64 (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))) (.f64 x (.f64 x (.f64 x x))))
(.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 #s(literal 1/20160 binary64) (.f64 x (.f64 x (.f64 x x))))))
(.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) #s(literal 1/20160 binary64)) (.f64 x (.f64 x (.f64 x x)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))))))
(.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64))))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64))))

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
99.1%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

Counts

11 → 1

Calls

Call 1

Inputs
x
(*.f64 x x)
(.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (.f64 x x))))
(.f64 (.f64 (.f64 #s(literal 1/12 binary64) x) (.f64 x x)) x)
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))) x)
(.f64 (.f64 x x) (.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (.f64 x x)))))
(.f64 (.f64 x x) (.f64 (.f64 (.f64 x #s(literal 1/360 binary64)) (.f64 x x)) x))
(.f64 (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))) (.f64 x (.f64 x (.f64 x x))))
(.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 #s(literal 1/20160 binary64) (.f64 x (.f64 x (.f64 x x))))))
(.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) #s(literal 1/20160 binary64)) (.f64 x (.f64 x (.f64 x x)))))

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
98.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(*.f64 x x)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
97.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
7.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

36×	`*-commutative_binary64`
18×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	99
1	63	99

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))) (.f64 x (.f64 x (.f64 x x)))) (*.f64 x x))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))))))
(+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64)))))) (*.f64 x x))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(*.f64 x x)
x

Outputs
(+.f64 (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))) (.f64 x (.f64 x (.f64 x x)))) (*.f64 x x))
(+.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))) (.f64 x (.f64 x (*.f64 x x)))))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))))))
(+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64)))))) (*.f64 x x))
(+.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/360 binary64) (*.f64 x x)))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/360 binary64) (.f64 x x))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (.f64 x x))))
(*.f64 x x)
x

soundness1.4s (14.2%)

Rules

4376×	`-lowering-.f32`
4376×	`-lowering-.f64`
3302×	`-lowering-.f32`
3302×	`-lowering-.f64`
3144×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	19	7
2	37	7
3	62	7
4	116	7
5	214	7
6	498	7
7	950	7
8	1161	7
9	1232	7
10	1246	7
0	1246	7
0	34	243
1	217	203
2	2169	191
0	8645	191
0	24	160
1	174	143
2	1627	137
0	9331	137
0	87	1520
1	301	1403
2	892	1365
3	2749	1365
4	4536	1351
0	8191	1351
0	67	495
1	193	450
2	533	437
3	1509	437
4	2662	437
5	6024	437
6	7679	437
0	8141	437

Stop Event

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

Compiler

Compiled 299 to 154 computations (48.5% saved)

preprocess73.0ms (0.7%)

Remove: (abs x)
Compiler: Compiled 502 to 234 computations (53.4% saved)

analyze0.0ms (0%)

sample3.3s (33.3%)

preprocess59.0ms (0.6%)

explain273.0ms (2.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify48.0ms (0.5%)

localize231.0ms (2.3%)

series4.0ms (0%)

rewrite398.0ms (4%)

simplify170.0ms (1.7%)

eval86.0ms (0.9%)

prune57.0ms (0.6%)

simplify145.0ms (1.5%)

localize230.0ms (2.3%)

series9.0ms (0.1%)

rewrite731.0ms (7.3%)

simplify168.0ms (1.7%)

eval108.0ms (1.1%)

prune82.0ms (0.8%)

simplify167.0ms (1.7%)

localize169.0ms (1.7%)

series9.0ms (0.1%)

rewrite335.0ms (3.3%)

simplify217.0ms (2.2%)

eval151.0ms (1.5%)

prune150.0ms (1.5%)

simplify146.0ms (1.5%)

localize150.0ms (1.5%)

series8.0ms (0.1%)

rewrite373.0ms (3.7%)

simplify196.0ms (2%)

eval156.0ms (1.6%)

prune99.0ms (1%)

regimes18.0ms (0.2%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

regimes2.0ms (0%)

regimes1.0ms (0%)

simplify8.0ms (0.1%)

soundness1.4s (14.2%)

preprocess73.0ms (0.7%)

end0.0ms (0%)

Profiling