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)

sample3.6s (30.4%)

Results

2.7s	5722×	2	valid
474.0ms	2382×	1	valid
11.0ms	152×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.6s

ival-exp: 1.8s (67.4% of total)

backward-pass: 266.0ms (10.1% of total)

ival-sub: 162.0ms (6.2% of total)

ival-neg: 134.0ms (5.1% of total)

ival-add: 130.0ms (4.9% of total)

ival-fabs: 81.0ms (3.1% of total)

ival-<=: 66.0ms (2.5% of total)

const: 18.0ms (0.7% of total)

Bogosity

preprocess62.0ms (0.5%)

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)

explain356.0ms (3%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
130	1	(1.9307812300894412e-162)	-	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`
0	0	-	-	`x`
0	0	-	-	`(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

245.0ms	352×	2	valid
41.0ms	154×	1	valid
1.0ms	6×	0	valid

Compiler

Compiled 55 to 23 computations (58.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 163.0ms

ival-exp: 109.0ms (66.9% of total)

backward-pass: 28.0ms (17.2% of total)

ival-sub: 9.0ms (5.5% of total)

ival-add: 8.0ms (4.9% of total)

ival-neg: 7.0ms (4.3% 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
▶	53.5%	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
▶	53.3%	(+.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)

simplify39.0ms (0.3%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

localize194.0ms (1.6%)

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	53.4%	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (exp.f64 x))
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64))
✓	accuracy	53.3%	(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))

Results

135.0ms	176×	2	valid
31.0ms	77×	1	valid
1.0ms	3×	0	valid

Compiler

Compiled 47 to 13 computations (72.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 101.0ms

ival-exp: 52.0ms (51.4% of total)

backward-pass: 18.0ms (17.8% of total)

ival-add: 13.0ms (12.9% of total)

ival-div: 8.0ms (7.9% of total)

ival-neg: 6.0ms (5.9% of total)

ival-sub: 4.0ms (4% of total)

const: 1.0ms (1% 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) (exp (neg x)))>
#<alt (- (exp x) 2)>
#<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 (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 (- 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 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	@	inf	(+ (exp x) (+ (/ 1 (exp x)) -2))
0.0ms	x	@	0	(+ (exp x) (+ (/ 1 (exp x)) -2))
0.0ms	x	@	0	(+ (- (exp x) 2) (exp (neg x)))
0.0ms	x	@	inf	(+ (- (exp x) 2) (exp (neg x)))

rewrite361.0ms (3%)

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	832	27
0	8887	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 (neg x)))
(- (exp x) 2)
(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 0 binary64) (+.f64 #s(literal 1 binary64) (.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 0 binary64) (+.f64 #s(literal 1 binary64) (*.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 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 (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 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))))
(/.f64 (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 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 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 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 (exp.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -4 binary64)) (+.f64 (exp.f64 x) #s(literal 2 binary64)))
(/.f64 (+.f64 (neg.f64 (exp.f64 (.f64 x #s(literal 3 binary64)))) #s(literal 8 binary64)) (-.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 (neg.f64 (exp.f64 (.f64 x #s(literal 3 binary64)))) #s(literal 8 binary64)) (neg.f64 (+.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) (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -4 binary64))) (+.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(/.f64 (-.f64 (.f64 (exp.f64 (.f64 x #s(literal 3 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 (exp.f64 (.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 4 binary64) (.f64 (exp.f64 x) #s(literal 2 binary64)))) #s(literal 8 binary64))) (pow.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 2 binary64)))
(/.f64 (-.f64 (.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (+.f64 (neg.f64 (exp.f64 (.f64 x #s(literal 3 binary64)))) #s(literal 8 binary64))) (neg.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 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -4 binary64)))) (neg.f64 (+.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x)))))
(/.f64 (+.f64 #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 4 binary64) (-.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) (exp.f64 x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 4 binary64) (.f64 (exp.f64 x) #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 8 binary64) (+.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 4 binary64) (.f64 (exp.f64 x) #s(literal 2 binary64))))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 4 binary64) (.f64 (exp.f64 x) #s(literal 2 binary64))))) (/.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 4 binary64) (.f64 (exp.f64 x) #s(literal 2 binary64)))))) (+.f64 (.f64 (/.f64 #s(literal 8 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 8 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 (exp.f64 (.f64 x #s(literal 3 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 8 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 (pow.f64 (/.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 (/.f64 #s(literal 4 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64)))) (.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64)))))))
(/.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal -2 binary64) (exp.f64 x)))
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (+.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 (.f64 x #s(literal 3 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 8 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 8 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 (exp.f64 (.f64 x #s(literal 3 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 8 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 (.f64 (/.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 2 binary64)))) (.f64 (/.f64 #s(literal 4 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))))) (+.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(*.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(.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 (+.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 (+.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 (+.f64 (neg.f64 (exp.f64 (.f64 x #s(literal 3 binary64)))) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (-.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) (+.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x)))))
(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))))

simplify227.0ms (1.9%)

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	430
2	534	423
3	1519	423
4	2668	423
5	6031	423
6	7677	423
0	8139	423

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))
(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
(- 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)
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 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 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 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
-1
#s(literal -1 binary64)
(- (* -1 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 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 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 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))))
(/ 1 (exp x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/ 1 (exp x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/ 1 (exp x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/ 1 (exp x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/ 1 (exp x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/ 1 (exp x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/ 1 (exp x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/ 1 (exp x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(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 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 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)
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- (* x (+ 1 (* 1/2 x))) 1)
(+.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)
(+.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 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))
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 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 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))

eval70.0ms (0.6%)

Compiler: Compiled 15820 to 1185 computations (92.5% saved)

prune59.0ms (0.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	642	9	651
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	644	9	653

Accuracy

100.0%

Counts

653 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	5.8%	(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)))
	53.5%	(/.f64 (-.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 (+.f64 (exp.f64 x) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x)))) (exp.f64 (.f64 x #s(literal -2 binary64))))) (.f64 (+.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))))))
	53.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))))
▶	53.3%	(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
	52.5%	(+.f64 (exp.f64 x) #s(literal -1 binary64))
▶	99.5%	(.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))))))
▶	99.6%	(.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 x (.f64 x #s(literal 1/20160 binary64))))))))))
	99.4%	(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
▶	98.9%	(*.f64 x x)

Compiler

Compiled 302 to 162 computations (46.4% saved)

simplify178.0ms (1.5%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(exp.f64 (*.f64 x #s(literal 2 binary64)))
✓	cost-diff	0	(+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -4 binary64))
✓	cost-diff	6400	(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)))
✓	cost-diff	0	(cosh.f64 x)
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) (cosh.f64 x))
✓	cost-diff	0	(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
✓	cost-diff	0	(.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))))
✓	cost-diff	0	(+.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	0	(*.f64 x x)
✓	cost-diff	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))))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.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))))))))
✓	cost-diff	0	(+.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 x (.f64 x #s(literal 1/20160 binary64)))))))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.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 x (.f64 x #s(literal 1/20160 binary64))))))))))

Rules

2210×	`sum3-define`
2060×	`sum4-define`
1716×	`+-lowering-+.f64`
1716×	`+-lowering-+.f32`
1480×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	209
1	111	187
2	337	185
3	1012	185
4	2417	185
5	3415	185
6	4966	185
7	6155	185
0	8010	185

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)
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)))))
(* x (+ 1/360 (* x (* x 1/20160))))
(+ 1/360 (* x (* x 1/20160)))
1/360
(* x (* x 1/20160))
(* x 1/20160)
1/20160
(* x x)
x
(* (* 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
(- (* 2 (cosh x)) 2)
(* 2 (cosh x))
2
(cosh x)
x
(+ (* (+ (exp (* x 2)) -4) (/ 1 (+ (exp x) 2))) (/ 1 (exp x)))
(+ (exp (* x 2)) -4)
(exp (* x 2))
(* x 2)
x
2
-4
(/ 1 (+ (exp x) 2))
1
(+ (exp x) 2)
(exp x)
(/ 1 (exp x))

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 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 x (.f64 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 x (.f64 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)))))
(* 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 1/20160)
(*.f64 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 (* (* x x) 1/360)))))
(.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)))))))
(* x x)
(*.f64 x x)
x
(+ 1 (* (* x x) (+ 1/12 (* (* x x) 1/360))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))))))
1
#s(literal 1 binary64)
(* (* x x) (+ 1/12 (* (* x x) 1/360)))
(.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64)))))
(+ 1/12 (* (* x x) 1/360))
(+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64)))
1/12
#s(literal 1/12 binary64)
(* (* x x) 1/360)
(.f64 (.f64 x x) #s(literal 1/360 binary64))
1/360
#s(literal 1/360 binary64)
(- (* 2 (cosh x)) 2)
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
(* 2 (cosh x))
(*.f64 #s(literal 2 binary64) (cosh.f64 x))
2
#s(literal 2 binary64)
(cosh x)
(cosh.f64 x)
x
(+ (* (+ (exp (* x 2)) -4) (/ 1 (+ (exp x) 2))) (/ 1 (exp x)))
(+.f64 (/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -4 binary64)) (+.f64 #s(literal 2 binary64) (exp.f64 x))) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(+ (exp (* x 2)) -4)
(+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -4 binary64))
(exp (* x 2))
(exp.f64 (*.f64 x #s(literal 2 binary64)))
(* x 2)
(*.f64 x #s(literal 2 binary64))
x
2
#s(literal 2 binary64)
-4
#s(literal -4 binary64)
(/ 1 (+ (exp x) 2))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (exp.f64 x)))
1
#s(literal 1 binary64)
(+ (exp x) 2)
(+.f64 #s(literal 2 binary64) (exp.f64 x))
(exp x)
(exp.f64 x)
(/ 1 (exp x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))

localize1.1s (9.1%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (exp.f64 x))
✓	accuracy	100.0%	(+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -4 binary64))
✓	accuracy	99.9%	(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)))
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) (cosh.f64 x))
✓	accuracy	100.0%	(cosh.f64 x)
✓	accuracy	99.9%	(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
✓	accuracy	100.0%	(.f64 (.f64 x x) #s(literal 1/360 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(.f64 (.f64 x x) (+.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	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))
✓	accuracy	100.0%	(.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))))))))
✓	accuracy	100.0%	(.f64 x (.f64 x #s(literal 1/20160 binary64)))
✓	accuracy	100.0%	(.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 x (.f64 x #s(literal 1/20160 binary64))))))))))

Results

1.0s	253×	5	exit
1.0ms	1×	1	valid
1.0ms	2×	0	valid

Compiler

Compiled 245 to 34 computations (86.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 372.0ms

backward-pass: 131.0ms (35.2% of total)

ival-mult: 66.0ms (17.7% of total)

ival-cosh: 60.0ms (16.1% of total)

ival-add: 37.0ms (9.9% of total)

compiled-spec: 24.0ms (6.5% of total)

...c/correct-round.rkt:119:19: 21.0ms (5.6% of total)

ival-exp: 16.0ms (4.3% of total)

ival-div: 10.0ms (2.7% of total)

ival-sub: 5.0ms (1.3% of total)

const: 2.0ms (0.5% of total)

series79.0ms (0.7%)

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 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 (* (* x x) 1/360)))))>
#<alt (+ 1 (* (* x x) (+ 1/12 (* (* x x) 1/360))))>
#<alt (* (* x x) (+ 1/12 (* (* x x) 1/360)))>
#<alt (- (* 2 (cosh x)) 2)>
#<alt (* 2 (cosh x))>
#<alt (cosh x)>
#<alt (+ (* (+ (exp (* x 2)) -4) (/ 1 (+ (exp x) 2))) (/ 1 (exp x)))>
#<alt (+ (exp (* x 2)) -4)>
#<alt (exp (* x 2))>
#<alt (* x 2)>
#<alt (* x (* x 1/20160))>
#<alt (+ 1/360 (* x (* x 1/20160)))>
#<alt (* (* x x) 1/360)>
#<alt (/ 1 (exp x))>
#<alt (/ 1 (+ (exp x) 2))>

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 (* (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 (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 2>
#<alt (+ 2 (pow x 2))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))>
#<alt (+ (exp x) (/ 1 (exp x)))>
#<alt (+ (exp x) (/ 1 (exp x)))>
#<alt (+ (exp x) (/ 1 (exp x)))>
#<alt (+ (exp x) (/ 1 (exp x)))>
#<alt (+ (exp x) (/ 1 (exp x)))>
#<alt (+ (exp x) (/ 1 (exp x)))>
#<alt (+ (exp x) (/ 1 (exp x)))>
#<alt (+ (exp x) (/ 1 (exp x)))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (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 (exp x)) (/ (exp (* 2 x)) (+ 2 (exp x)))) (* 4 (/ 1 (+ 2 (exp x)))))>
#<alt (- (+ (/ 1 (exp x)) (/ (exp (* 2 x)) (+ 2 (exp x)))) (* 4 (/ 1 (+ 2 (exp x)))))>
#<alt (- (+ (/ 1 (exp x)) (/ (exp (* 2 x)) (+ 2 (exp x)))) (* 4 (/ 1 (+ 2 (exp x)))))>
#<alt (- (+ (/ 1 (exp x)) (/ (exp (* 2 x)) (+ 2 (exp x)))) (* 4 (/ 1 (+ 2 (exp x)))))>
#<alt (- (+ (/ 1 (exp x)) (/ (exp (* 2 x)) (+ 2 (exp x)))) (* 4 (/ 1 (+ 2 (exp x)))))>
#<alt (- (+ (/ 1 (exp x)) (/ (exp (* 2 x)) (+ 2 (exp x)))) (* 4 (/ 1 (+ 2 (exp x)))))>
#<alt (- (+ (/ 1 (exp x)) (/ (exp (* 2 x)) (+ 2 (exp x)))) (* 4 (/ 1 (+ 2 (exp x)))))>
#<alt (- (+ (/ 1 (exp x)) (/ (exp (* 2 x)) (+ 2 (exp x)))) (* 4 (/ 1 (+ 2 (exp x)))))>
#<alt -3>
#<alt (- (* 2 x) 3)>
#<alt (- (* x (+ 2 (* 2 x))) 3)>
#<alt (- (* x (+ 2 (* x (+ 2 (* 4/3 x))))) 3)>
#<alt (- (exp (* 2 x)) 4)>
#<alt (- (exp (* 2 x)) 4)>
#<alt (- (exp (* 2 x)) 4)>
#<alt (- (exp (* 2 x)) 4)>
#<alt (- (exp (* 2 x)) 4)>
#<alt (- (exp (* 2 x)) 4)>
#<alt (- (exp (* 2 x)) 4)>
#<alt (- (exp (* 2 x)) 4)>
#<alt 1>
#<alt (+ 1 (* 2 x))>
#<alt (+ 1 (* x (+ 2 (* 2 x))))>
#<alt (+ 1 (* x (+ 2 (* x (+ 2 (* 4/3 x))))))>
#<alt (exp (* 2 x))>
#<alt (exp (* 2 x))>
#<alt (exp (* 2 x))>
#<alt (exp (* 2 x))>
#<alt (exp (* 2 x))>
#<alt (exp (* 2 x))>
#<alt (exp (* 2 x))>
#<alt (exp (* 2 x))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<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>
#<alt (+ 1/360 (* 1/20160 (pow x 2)))>
#<alt (+ 1/360 (* 1/20160 (pow x 2)))>
#<alt (+ 1/360 (* 1/20160 (pow x 2)))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt 1>
#<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 1/3>
#<alt (+ 1/3 (* -1/9 x))>
#<alt (+ 1/3 (* x (- (* -1/54 x) 1/9)))>
#<alt (+ 1/3 (* x (- (* x (- (* 1/162 x) 1/54)) 1/9)))>
#<alt (/ 1 (+ 2 (exp x)))>
#<alt (/ 1 (+ 2 (exp x)))>
#<alt (/ 1 (+ 2 (exp x)))>
#<alt (/ 1 (+ 2 (exp x)))>
#<alt (/ 1 (+ 2 (exp x)))>
#<alt (/ 1 (+ 2 (exp x)))>
#<alt (/ 1 (+ 2 (exp x)))>
#<alt (/ 1 (+ 2 (exp x)))>

Calls

57 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(+ (* (+ (exp (* x 2)) -4) (/ 1 (+ (exp x) 2))) (/ 1 (exp x)))
1.0ms	x	@	-inf	(+ (* (+ (exp (* x 2)) -4) (/ 1 (+ (exp x) 2))) (/ 1 (exp x)))
1.0ms	x	@	0	(* 2 (cosh x))
1.0ms	x	@	inf	(* (* x x) (+ 1 (* (* x x) (+ 1/12 (* x (* x (+ 1/360 (* x (* x 1/20160)))))))))
1.0ms	x	@	-inf	(- (* 2 (cosh x)) 2)

rewrite386.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

3232×	`-lowering-.f32`
3232×	`-lowering-.f64`
2580×	`fma-lowering-fma.f32`
2580×	`fma-lowering-fma.f64`
1948×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	146
1	237	123
2	2195	120
0	8353	120

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 484

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 (* (* x x) 1/360)))))
(+ 1 (* (* x x) (+ 1/12 (* (* x x) 1/360))))
(* (* x x) (+ 1/12 (* (* x x) 1/360)))
(- (* 2 (cosh x)) 2)
(* 2 (cosh x))
(cosh x)
(+ (* (+ (exp (* x 2)) -4) (/ 1 (+ (exp x) 2))) (/ 1 (exp x)))
(+ (exp (* x 2)) -4)
(exp (* x 2))
(* x 2)
(* x (* x 1/20160))
(+ 1/360 (* x (* x 1/20160)))
(* (* x x) 1/360)
(/ 1 (exp x))
(/ 1 (+ (exp x) 2))

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))
(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 (.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 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 (.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 #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 (.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) (.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 (.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))))))) x) x (.f64 x x))
(/.f64 (+.f64 (.f64 (.f64 x x) (.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 (+.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 (.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 #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 #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 (.f64 (.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 (.f64 (.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))))))) #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 (.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 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.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 (+.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 (.f64 (.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 (.f64 (.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))))))) #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 (.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 (.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 x (.f64 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 x (.f64 x #s(literal 1/20160 binary64)))))))))
(.f64 (+.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 x (.f64 x #s(literal 1/20160 binary64)))))))) (.f64 x x))
(.f64 (.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 x (.f64 x #s(literal 1/20160 binary64))))))))) x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(.f64 x (.f64 x #s(literal 1 binary64)))
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x x))
(.f64 (.f64 #s(literal 1 binary64) x) x)
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.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 x (.f64 x #s(literal 1/20160 binary64))))))))
(+.f64 (.f64 (.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))))))) #s(literal 1 binary64))
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(*.f64 #s(literal 2 binary64) x)
(.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 #s(literal 1/360 binary64) (.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 #s(literal 1/129600 binary64) (-.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))) (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/406425600 binary64)) (-.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))
(fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
(fma.f64 (*.f64 x #s(literal 1/20160 binary64)) x #s(literal 1/360 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.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 #s(literal 1/46656000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/8193540096000 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64)))) (-.f64 #s(literal 1/129600 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/406425600 binary64)))))
(/.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 #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 #s(literal 1/46656000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8193540096000 binary64)))) (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/406425600 binary64)) (-.f64 #s(literal 1/129600 binary64) (.f64 #s(literal 1/360 binary64) (.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))
(/.f64 (-.f64 #s(literal 1/129600 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/406425600 binary64))) (-.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/46656000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8193540096000 binary64))))) (neg.f64 (+.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 (neg.f64 (-.f64 #s(literal 1/129600 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/406425600 binary64)))) (neg.f64 (-.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/406425600 binary64)) #s(literal 1/129600 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 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))) (.f64 (-.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64)))) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/406425600 binary64)))) (.f64 (-.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64)))) (-.f64 #s(literal 1/360 binary64) (.f64 x (*.f64 x #s(literal 1/20160 binary64))))))
(pow.f64 (/.f64 (+.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 #s(literal 1/46656000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/8193540096000 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64)))) (-.f64 #s(literal 1/129600 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/406425600 binary64)))) #s(literal -1 binary64))
(.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 #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 #s(literal 1/129600 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/406425600 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/360 binary64) (.f64 x (*.f64 x #s(literal 1/20160 binary64))))))
(.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)
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x)))
(pow.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 x) #s(literal -1 binary64))
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) x)
(*.f64 #s(literal 1 binary64) (/.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) (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(.f64 (exp.f64 (.f64 x #s(literal -1/2 binary64))) (exp.f64 (*.f64 x #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (exp.f64 x))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x)))))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(pow.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 (+.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (exp.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x)))))
(*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal 8 binary64))) (+.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (exp.f64 x)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal 8 binary64))) (pow.f64 (/.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))))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) #s(literal -4 binary64))) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) #s(literal -4 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64)))

simplify261.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

3478×	`+-lowering-+.f64`
3478×	`+-lowering-+.f32`
2372×	`-lowering-.f32`
2372×	`-lowering-.f64`
2222×	`sum3-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	138	1875
1	422	1572
2	1199	1532
3	3325	1532
4	5104	1522
0	8333	1522

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))))))
(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 (* (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)))))
(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)
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(+ (exp x) (/ 1 (exp x)))
(+ (exp x) (/ 1 (exp x)))
(+ (exp x) (/ 1 (exp x)))
(+ (exp x) (/ 1 (exp x)))
(+ (exp x) (/ 1 (exp x)))
(+ (exp x) (/ 1 (exp x)))
(+ (exp x) (/ 1 (exp x)))
(+ (exp x) (/ 1 (exp x)))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(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 (exp x)) (/ (exp (* 2 x)) (+ 2 (exp x)))) (* 4 (/ 1 (+ 2 (exp x)))))
(- (+ (/ 1 (exp x)) (/ (exp (* 2 x)) (+ 2 (exp x)))) (* 4 (/ 1 (+ 2 (exp x)))))
(- (+ (/ 1 (exp x)) (/ (exp (* 2 x)) (+ 2 (exp x)))) (* 4 (/ 1 (+ 2 (exp x)))))
(- (+ (/ 1 (exp x)) (/ (exp (* 2 x)) (+ 2 (exp x)))) (* 4 (/ 1 (+ 2 (exp x)))))
(- (+ (/ 1 (exp x)) (/ (exp (* 2 x)) (+ 2 (exp x)))) (* 4 (/ 1 (+ 2 (exp x)))))
(- (+ (/ 1 (exp x)) (/ (exp (* 2 x)) (+ 2 (exp x)))) (* 4 (/ 1 (+ 2 (exp x)))))
(- (+ (/ 1 (exp x)) (/ (exp (* 2 x)) (+ 2 (exp x)))) (* 4 (/ 1 (+ 2 (exp x)))))
(- (+ (/ 1 (exp x)) (/ (exp (* 2 x)) (+ 2 (exp x)))) (* 4 (/ 1 (+ 2 (exp x)))))
-3
(- (* 2 x) 3)
(- (* x (+ 2 (* 2 x))) 3)
(- (* x (+ 2 (* x (+ 2 (* 4/3 x))))) 3)
(- (exp (* 2 x)) 4)
(- (exp (* 2 x)) 4)
(- (exp (* 2 x)) 4)
(- (exp (* 2 x)) 4)
(- (exp (* 2 x)) 4)
(- (exp (* 2 x)) 4)
(- (exp (* 2 x)) 4)
(- (exp (* 2 x)) 4)
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 (* 2 x))))
(+ 1 (* x (+ 2 (* x (+ 2 (* 4/3 x))))))
(exp (* 2 x))
(exp (* 2 x))
(exp (* 2 x))
(exp (* 2 x))
(exp (* 2 x))
(exp (* 2 x))
(exp (* 2 x))
(exp (* 2 x))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 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
(+ 1/360 (* 1/20160 (pow x 2)))
(+ 1/360 (* 1/20160 (pow x 2)))
(+ 1/360 (* 1/20160 (pow x 2)))
(* 1/20160 (pow x 2))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* 1/20160 (pow x 2))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
1
(+ 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))
1/3
(+ 1/3 (* -1/9 x))
(+ 1/3 (* x (- (* -1/54 x) 1/9)))
(+ 1/3 (* x (- (* x (- (* 1/162 x) 1/54)) 1/9)))
(/ 1 (+ 2 (exp x)))
(/ 1 (+ 2 (exp x)))
(/ 1 (+ 2 (exp x)))
(/ 1 (+ 2 (exp x)))
(/ 1 (+ 2 (exp x)))
(/ 1 (+ 2 (exp x)))
(/ 1 (+ 2 (exp x)))
(/ 1 (+ 2 (exp 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 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 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 x (.f64 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 #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))))
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(- (+ (/ 1 (exp x)) (/ (exp (* 2 x)) (+ 2 (exp x)))) (* 4 (/ 1 (+ 2 (exp x)))))
(+.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 2 binary64) (exp.f64 x))) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 4 binary64) (-.f64 #s(literal -2 binary64) (exp.f64 x)))))
(- (+ (/ 1 (exp x)) (/ (exp (* 2 x)) (+ 2 (exp x)))) (* 4 (/ 1 (+ 2 (exp x)))))
(+.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 2 binary64) (exp.f64 x))) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 4 binary64) (-.f64 #s(literal -2 binary64) (exp.f64 x)))))
(- (+ (/ 1 (exp x)) (/ (exp (* 2 x)) (+ 2 (exp x)))) (* 4 (/ 1 (+ 2 (exp x)))))
(+.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 2 binary64) (exp.f64 x))) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 4 binary64) (-.f64 #s(literal -2 binary64) (exp.f64 x)))))
(- (+ (/ 1 (exp x)) (/ (exp (* 2 x)) (+ 2 (exp x)))) (* 4 (/ 1 (+ 2 (exp x)))))
(+.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 2 binary64) (exp.f64 x))) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 4 binary64) (-.f64 #s(literal -2 binary64) (exp.f64 x)))))
(- (+ (/ 1 (exp x)) (/ (exp (* 2 x)) (+ 2 (exp x)))) (* 4 (/ 1 (+ 2 (exp x)))))
(+.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 2 binary64) (exp.f64 x))) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 4 binary64) (-.f64 #s(literal -2 binary64) (exp.f64 x)))))
(- (+ (/ 1 (exp x)) (/ (exp (* 2 x)) (+ 2 (exp x)))) (* 4 (/ 1 (+ 2 (exp x)))))
(+.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 2 binary64) (exp.f64 x))) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 4 binary64) (-.f64 #s(literal -2 binary64) (exp.f64 x)))))
(- (+ (/ 1 (exp x)) (/ (exp (* 2 x)) (+ 2 (exp x)))) (* 4 (/ 1 (+ 2 (exp x)))))
(+.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 2 binary64) (exp.f64 x))) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 4 binary64) (-.f64 #s(literal -2 binary64) (exp.f64 x)))))
(- (+ (/ 1 (exp x)) (/ (exp (* 2 x)) (+ 2 (exp x)))) (* 4 (/ 1 (+ 2 (exp x)))))
(+.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 2 binary64) (exp.f64 x))) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 4 binary64) (-.f64 #s(literal -2 binary64) (exp.f64 x)))))
-3
#s(literal -3 binary64)
(- (* 2 x) 3)
(+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -3 binary64))
(- (* x (+ 2 (* 2 x))) 3)
(+.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x #s(literal 2 binary64)))) #s(literal -3 binary64))
(- (* x (+ 2 (* x (+ 2 (* 4/3 x))))) 3)
(+.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 4/3 binary64)))))) #s(literal -3 binary64))
(- (exp (* 2 x)) 4)
(+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -4 binary64))
(- (exp (* 2 x)) 4)
(+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -4 binary64))
(- (exp (* 2 x)) 4)
(+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -4 binary64))
(- (exp (* 2 x)) 4)
(+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -4 binary64))
(- (exp (* 2 x)) 4)
(+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -4 binary64))
(- (exp (* 2 x)) 4)
(+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -4 binary64))
(- (exp (* 2 x)) 4)
(+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -4 binary64))
(- (exp (* 2 x)) 4)
(+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -4 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 2 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64)))
(+ 1 (* x (+ 2 (* 2 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x #s(literal 2 binary64)))))
(+ 1 (* x (+ 2 (* x (+ 2 (* 4/3 x))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 4/3 binary64)))))))
(exp (* 2 x))
(exp.f64 (*.f64 x #s(literal 2 binary64)))
(exp (* 2 x))
(exp.f64 (*.f64 x #s(literal 2 binary64)))
(exp (* 2 x))
(exp.f64 (*.f64 x #s(literal 2 binary64)))
(exp (* 2 x))
(exp.f64 (*.f64 x #s(literal 2 binary64)))
(exp (* 2 x))
(exp.f64 (*.f64 x #s(literal 2 binary64)))
(exp (* 2 x))
(exp.f64 (*.f64 x #s(literal 2 binary64)))
(exp (* 2 x))
(exp.f64 (*.f64 x #s(literal 2 binary64)))
(exp (* 2 x))
(exp.f64 (*.f64 x #s(literal 2 binary64)))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 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
#s(literal 1/360 binary64)
(+ 1/360 (* 1/20160 (pow x 2)))
(+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))
(+ 1/360 (* 1/20160 (pow x 2)))
(+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))
(+ 1/360 (* 1/20160 (pow x 2)))
(+.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))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(+.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))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/360 binary64) (.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
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64)))))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))))
(/ 1 (exp x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(/ 1 (exp x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(/ 1 (exp x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(/ 1 (exp x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(/ 1 (exp x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(/ 1 (exp x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(/ 1 (exp x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(/ 1 (exp x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* -1/9 x))
(+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/9 binary64)))
(+ 1/3 (* x (- (* -1/54 x) 1/9)))
(+.f64 #s(literal 1/3 binary64) (.f64 x (+.f64 #s(literal -1/9 binary64) (.f64 x #s(literal -1/54 binary64)))))
(+ 1/3 (* x (- (* x (- (* 1/162 x) 1/54)) 1/9)))
(+.f64 #s(literal 1/3 binary64) (.f64 x (+.f64 #s(literal -1/9 binary64) (.f64 x (+.f64 #s(literal -1/54 binary64) (*.f64 x #s(literal 1/162 binary64)))))))
(/ 1 (+ 2 (exp x)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (exp.f64 x)))
(/ 1 (+ 2 (exp x)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (exp.f64 x)))
(/ 1 (+ 2 (exp x)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (exp.f64 x)))
(/ 1 (+ 2 (exp x)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (exp.f64 x)))
(/ 1 (+ 2 (exp x)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (exp.f64 x)))
(/ 1 (+ 2 (exp x)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (exp.f64 x)))
(/ 1 (+ 2 (exp x)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (exp.f64 x)))
(/ 1 (+ 2 (exp x)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (exp.f64 x)))

eval98.0ms (0.8%)

Compiler: Compiled 21845 to 2016 computations (90.8% saved)

prune89.0ms (0.8%)

Pruning

20 alts after pruning (16 fresh and 4 done)

	Pruned	Kept	Total
New	809	13	822
Fresh	1	3	4
Picked	1	4	5
Done	0	0	0
Total	811	20	831

Accuracy

100.0%

Counts

831 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	5.8%	(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)))
	53.5%	(/.f64 (-.f64 (.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (.f64 (-.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 x))) (exp.f64 (.f64 x #s(literal -2 binary64))))) (.f64 (-.f64 (+.f64 (exp.f64 x) #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)))))
	53.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))))
▶	52.7%	(-.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/12 binary64)))))) #s(literal 2 binary64))
▶	52.6%	(-.f64 (+.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))
✓	53.3%	(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
▶	99.6%	(+.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))
▶	99.5%	(+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))) (*.f64 x x))
▶	52.5%	(+.f64 (exp.f64 x) #s(literal -1 binary64))
	52.1%	(.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) (.f64 x (.f64 x (.f64 x x))))
	99.5%	(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))) x)
	99.6%	(.f64 (.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 #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)))) #s(literal 1 binary64)) (-.f64 (.f64 (.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))))))) #s(literal 1 binary64))))
	99.6%	(.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.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 (.f64 (.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))))))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.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 (+.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)))))))))
✓	99.6%	(.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 x (.f64 x #s(literal 1/20160 binary64))))))))))
	99.4%	(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/20160 binary64))))))))
	99.4%	(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
	98.9%	(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/20160 binary64))))))))
	52.5%	(.f64 (.f64 x x) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))))))
	52.0%	(.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))))
✓	98.9%	(*.f64 x x)

Compiler

Compiled 897 to 388 computations (56.7% saved)

simplify248.0ms (2.1%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(exp.f64 x)
✓	cost-diff	0	(+.f64 (exp.f64 x) #s(literal -1 binary64))
✓	cost-diff	0	(.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))
✓	cost-diff	128	(+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))) (*.f64 x x))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/12 binary64)))))
✓	cost-diff	0	(+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/12 binary64))))))
✓	cost-diff	256	(-.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/12 binary64)))))) #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(+.f64 #s(literal 2 binary64) (*.f64 x x))
✓	cost-diff	256	(-.f64 (+.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))
✓	cost-diff	0	(.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64)))))
✓	cost-diff	0	(+.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))))))
✓	cost-diff	0	(.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)))
✓	cost-diff	128	(+.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))

Rules

3408×	`+-lowering-+.f64`
3408×	`+-lowering-+.f32`
1964×	`-lowering-.f32`
1964×	`-lowering-.f64`
1558×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	198
1	102	176
2	335	170
3	1011	170
4	3998	170
5	6112	170
0	8121	170

Stop Event

1×	iter limit
1×	node limit

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)
x
(+ 1/360 (* x (* x 1/20160)))
1/360
(* x (* x 1/20160))
(* x 1/20160)
1/20160
(* (* x x) (* x x))
(- (+ 2 (* x x)) 2)
(+ 2 (* x x))
2
(* x x)
x
(- (+ 2 (* (* x x) (+ 1 (* x (* x 1/12))))) 2)
(+ 2 (* (* x x) (+ 1 (* x (* x 1/12)))))
2
(* (* x x) (+ 1 (* x (* x 1/12))))
(* x x)
x
(+ 1 (* x (* x 1/12)))
1
(* x (* x 1/12))
(* x 1/12)
1/12
(+ (* (* 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))))
(+ 1/12 (* x (* x 1/360)))
1/12
(* x (* x 1/360))
(* x 1/360)
1/360
(+ (exp x) -1)
(exp x)
x
-1

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

localize390.0ms (3.3%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	8.1%	(+.f64 (exp.f64 x) #s(literal -1 binary64))
✓	accuracy	99.9%	(.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 1/360 binary64)))
✓	accuracy	99.6%	(.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))
✓	accuracy	99.6%	(*.f64 x #s(literal 1/360 binary64))
✓	accuracy	100.0%	(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/12 binary64)))))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 1/12 binary64)))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/12 binary64))
✓	accuracy	53.2%	(-.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/12 binary64)))))) #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 2 binary64) (*.f64 x x))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	53.2%	(-.f64 (+.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))
✓	accuracy	99.9%	(.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)))
✓	accuracy	99.8%	(.f64 (.f64 x x) (*.f64 x x))
✓	accuracy	99.8%	(.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64)))))
✓	accuracy	99.7%	(.f64 x (.f64 x #s(literal 1/20160 binary64)))

Results

328.0ms	254×	1	valid
1.0ms	2×	0	valid

Compiler

Compiled 253 to 33 computations (87% saved)

Precisions

Click to see histograms. Total time spent on operations: 153.0ms

ival-add: 45.0ms (29.5% of total)

ival-mult: 40.0ms (26.2% of total)

backward-pass: 26.0ms (17% of total)

...c/correct-round.rkt:119:19: 25.0ms (16.4% of total)

ival-exp: 10.0ms (6.6% of total)

ival-sub: 5.0ms (3.3% of total)

const: 1.0ms (0.7% of total)

series10.0ms (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 (- (+ 2 (* x x)) 2)>
#<alt (+ 2 (* x x))>
#<alt (* x x)>
#<alt (- (+ 2 (* (* x x) (+ 1 (* x (* x 1/12))))) 2)>
#<alt (+ 2 (* (* x x) (+ 1 (* x (* x 1/12)))))>
#<alt (* (* x x) (+ 1 (* x (* x 1/12))))>
#<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 (+ (exp x) -1)>
#<alt (exp x)>
#<alt (* x (* x 1/20160))>
#<alt (* (* x x) (* x x))>
#<alt (* x 1/12)>
#<alt (* x (* x 1/12))>
#<alt (* 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 (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 2>
#<alt (+ 2 (pow x 2))>
#<alt (+ 2 (pow x 2))>
#<alt (+ 2 (pow x 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (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 2>
#<alt (+ 2 (pow x 2))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))>
#<alt (* 1/12 (pow x 4))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))>
#<alt (* 1/12 (pow x 4))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* 1/12 (pow x 4))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* 1/12 (pow x 4))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (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 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 (* 1/20160 (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 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 (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/360 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 (* 1/360 (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
2.0ms	x	@	0	(* x 1/12)
0.0ms	x	@	inf	(- (+ 2 (* (* x x) (+ 1 (* x (* x 1/12))))) 2)
0.0ms	x	@	-inf	(* x 1/360)
0.0ms	x	@	-inf	(* x 1/12)
0.0ms	x	@	inf	(+ (* (+ 1/12 (* (* x x) (+ 1/360 (* x (* x 1/20160))))) (* (* x x) (* x x))) (* x x))

rewrite419.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

3866×	`-lowering-.f32`
3866×	`-lowering-.f64`
3004×	`/-lowering-/.f32`
3004×	`/-lowering-/.f64`
2380×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	156
1	230	137
2	2246	135
0	9701	135

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 527

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))))
(- (+ 2 (* x x)) 2)
(+ 2 (* x x))
(* x x)
(- (+ 2 (* (* x x) (+ 1 (* x (* x 1/12))))) 2)
(+ 2 (* (* x x) (+ 1 (* x (* x 1/12)))))
(* (* x x) (+ 1 (* x (* x 1/12))))
(+ (* (* x x) (* (* x 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))))
(+ (exp x) -1)
(exp x)
(* x (* x 1/20160))
(* (* x x) (* x x))
(* x 1/12)
(* x (* x 1/12))
(* x 1/360)
(* 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 (.f64 x x) #s(literal 1/20160 binary64))))) (.f64 x (.f64 x (*.f64 x x)))))
(+.f64 (.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 x))
(-.f64 (/.f64 (.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 (.f64 x (.f64 x (.f64 x 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 (.f64 x x)))))) (-.f64 (.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 x))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 (.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 x))))
(-.f64 (/.f64 (.f64 x (.f64 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 (.f64 x x) #s(literal 1/20160 binary64))))) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 (.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 (.f64 x (.f64 x (.f64 x 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 (.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 (.f64 x 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 (.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)))))
(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 (.f64 x 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 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))) (.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 (.f64 x x) #s(literal 1/20160 binary64))))) (.f64 x (.f64 x (*.f64 x x)))))
(fma.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 x x))
(fma.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 x))
(fma.f64 (.f64 x (.f64 x (.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 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 (.f64 x x) #s(literal 1/20160 binary64))))) (.f64 x (.f64 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 (.f64 x x) #s(literal 1/20160 binary64)))))) (.f64 x x))
(fma.f64 (.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 x x) (.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 (.f64 x x) #s(literal 1/20160 binary64))))) (.f64 x (.f64 x (*.f64 x x)))))
(fma.f64 (.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))))) x) (.f64 x (.f64 x x)) (.f64 x x))
(fma.f64 (.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))) x (.f64 x x))
(fma.f64 (.f64 (.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)))))) x) x (.f64 x x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.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 (.f64 x (.f64 x (.f64 x 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 (.f64 x x)))))) (.f64 (.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 (.f64 x x) #s(literal 1/20160 binary64))))) (.f64 x (.f64 x (.f64 x x))))))) (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.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 (+.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 (.f64 x (.f64 x 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 (*.f64 x x))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.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 x)) (.f64 (.f64 (+.f64 (.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)))))) #s(literal 1 binary64)) (.f64 x x)) (-.f64 (.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 x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (.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 (.f64 x (.f64 x (.f64 x 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 (.f64 x x)))))) (.f64 (.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 (.f64 x x) #s(literal 1/20160 binary64))))) (.f64 x (.f64 x (.f64 x x))))))) (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.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 (+.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 (.f64 x (.f64 x 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 (*.f64 x x)))))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (.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 x)) (.f64 (.f64 (+.f64 (.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)))))) #s(literal 1 binary64)) (.f64 x x)) (-.f64 (.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 x))))))
(/.f64 (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.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 (+.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 (.f64 x (.f64 x 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 (.f64 x x)))))))) (+.f64 (.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 (.f64 x (.f64 x (.f64 x 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 (.f64 x x)))))) (.f64 (.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 (.f64 x x) #s(literal 1/20160 binary64))))) (.f64 x (.f64 x (*.f64 x x))))))))
(/.f64 (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.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 (+.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 (.f64 x (.f64 x 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 (.f64 x x)))))))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 (.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 (.f64 x (.f64 x (.f64 x 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 (.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 (.f64 x x) #s(literal 1/20160 binary64))))) (.f64 x (.f64 x (*.f64 x x))))))))
(/.f64 (.f64 (.f64 (+.f64 (.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)))))) #s(literal 1 binary64)) (.f64 x x)) (-.f64 (.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 x))) (-.f64 (.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 x)))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.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 (+.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 (.f64 x (.f64 x 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 (.f64 x x))))))))) (neg.f64 (+.f64 (.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 (.f64 x (.f64 x (.f64 x 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 (.f64 x x)))))) (.f64 (.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 (.f64 x x) #s(literal 1/20160 binary64))))) (.f64 x (.f64 x (*.f64 x x)))))))))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.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 (+.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 (.f64 x (.f64 x 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 (.f64 x x))))))))) (neg.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 (.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 (.f64 x (.f64 x (.f64 x 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 (.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 (.f64 x x) #s(literal 1/20160 binary64))))) (.f64 x (.f64 x (*.f64 x x)))))))))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 (.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)))))) #s(literal 1 binary64)) (.f64 x x)) (-.f64 (.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 x)))) (neg.f64 (-.f64 (.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 x))))
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(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/144 binary64)) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/360 binary64)))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/360 binary64))))))) (neg.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/360 binary64)))))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/1728 binary64) (.f64 #s(literal 1/46656000 binary64) (.f64 (.f64 x x) (.f64 x (.f64 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 (.f64 x x) (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64))))) (neg.f64 (-.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64)))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1/1728 binary64) (.f64 #s(literal 1/46656000 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.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 (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64))) (.f64 x x))) (neg.f64 (-.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64)))))
(/.f64 (+.f64 (.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 1/46656000 binary64)) (.f64 #s(literal 1/1728 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (+.f64 (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/360 binary64)))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/360 binary64))))) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/144 binary64)) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/360 binary64)))) (.f64 #s(literal 1/12 binary64) (.f64 x x))))))
(.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))))
(.f64 (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))) (.f64 x x))
(.f64 (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64)))) x)
(+.f64 (exp.f64 x) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (exp.f64 x))
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 x))) (/.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (exp.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (exp.f64 x) #s(literal -1 binary64)))) (+.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (+.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (exp.f64 x) #s(literal -1 binary64)))) (+.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (+.f64 x x)))))
(/.f64 (+.f64 #s(literal -1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal -1 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (*.f64 (exp.f64 x) #s(literal -1 binary64)))))
(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (*.f64 (exp.f64 x) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal -1 binary64) (exp.f64 x)))
(/.f64 (-.f64 (.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (+.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (neg.f64 (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))) (neg.f64 (-.f64 #s(literal -1 binary64) (exp.f64 x))))
(pow.f64 (/.f64 (+.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (exp.f64 x) #s(literal -1 binary64)))) (+.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (+.f64 x x))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal -1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (exp.f64 x) #s(literal -1 binary64))))))
(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(exp.f64 x)
(.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)
(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 (.f64 x x) (*.f64 x x))
(.f64 (.f64 x x) (pow.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))
(.f64 (.f64 x (*.f64 x x)) x)
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x x))
(*.f64 #s(literal 1/12 binary64) x)
(*.f64 x #s(literal 1/12 binary64))
(.f64 #s(literal 1/12 binary64) (.f64 x x))
(.f64 x (.f64 #s(literal 1/12 binary64) x))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (*.f64 x x)))
(.f64 (.f64 #s(literal 1/12 binary64) x) x)
(.f64 (.f64 #s(literal 1/12 binary64) (*.f64 x x)) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/12 binary64) x))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) x)) x)
(*.f64 x #s(literal 1/360 binary64))
(*.f64 #s(literal 1/360 binary64) x)
(.f64 x (.f64 x #s(literal 1/360 binary64)))
(.f64 (.f64 x x) #s(literal 1/360 binary64))
(.f64 #s(literal 1/360 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/360 binary64)) x)

simplify194.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

2442×	`-lowering-.f32`
2442×	`-lowering-.f64`
1812×	`+-lowering-+.f64`
1812×	`+-lowering-+.f32`
1574×	`sum3-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	94	1766
1	311	1431
2	924	1398
3	2704	1376
4	4360	1356
5	7976	1356
0	8392	1356

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)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
2
(+ 2 (pow x 2))
(+ 2 (pow x 2))
(+ 2 (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(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))))
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(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)))))
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)
(* 1/20160 (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 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)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/360 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)
(* 1/360 (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 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
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(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 x (.f64 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 x (.f64 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 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))
(* 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 x (.f64 x #s(literal 1/360 binary64))))))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(.f64 x (.f64 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 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))
(* 1/360 (pow x 4))
(.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 x (.f64 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 x (.f64 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 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))
(* 1/360 (pow x 4))
(.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 x (.f64 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 x (.f64 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 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))
x
(* x (+ 1 (* 1/2 x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
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 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(* 1/20160 (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 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)))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 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))
(* 1/360 (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)))

eval114.0ms (1%)

Compiler: Compiled 30071 to 2054 computations (93.2% saved)

prune101.0ms (0.9%)

Pruning

23 alts after pruning (17 fresh and 6 done)

	Pruned	Kept	Total
New	969	10	979
Fresh	4	7	11
Picked	3	2	5
Done	0	4	4
Total	976	23	999

Accuracy

100.0%

Counts

999 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	5.8%	(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)))
	53.5%	(/.f64 (-.f64 (.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (.f64 (-.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 x))) (exp.f64 (.f64 x #s(literal -2 binary64))))) (.f64 (-.f64 (+.f64 (exp.f64 x) #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)))))
	53.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))))
✓	52.7%	(-.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/12 binary64)))))) #s(literal 2 binary64))
✓	53.3%	(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
	52.7%	(+.f64 (+.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64))
✓	99.6%	(+.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))
	99.4%	(+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64))) (*.f64 x x))
	99.5%	(.f64 (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64)))) #s(literal 1 binary64)) (.f64 x x))
	52.1%	(.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) (.f64 x (.f64 x (.f64 x x))))
▶	99.6%	(.f64 (.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 #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)))) #s(literal 1 binary64)) (-.f64 (.f64 (.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))))))) #s(literal 1 binary64))))
▶	99.6%	(.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.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 (.f64 (.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))))))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.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 (+.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)))))))))
✓	99.6%	(.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 x (.f64 x #s(literal 1/20160 binary64))))))))))
▶	99.4%	(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
	52.1%	(.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)))))
▶	52.0%	(.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) #s(literal 1/20160 binary64)) (.f64 x (.f64 x (.f64 x x)))))
	52.5%	(.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)))))))
	52.5%	(.f64 (.f64 x x) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))))))
	99.4%	(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
	52.5%	(.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x))))
✓	98.9%	(*.f64 x x)
	7.1%	(expm1.f64 x)
▶	6.8%	x

Compiler

Compiled 887 to 374 computations (57.8% saved)

simplify236.0ms (2%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

3842×	`-lowering-.f32`
3842×	`-lowering-.f64`
3086×	`+-lowering-+.f64`
3086×	`+-lowering-+.f32`
1676×	`sum4-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	34	789
1	128	592
2	507	525
3	2735	514
4	6193	513
0	8099	513

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize291.0ms (2.5%)

Localize:

Found 16 expressions of interest:

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

Results

161.0ms

256×

valid

Compiler

Compiled 1008 to 35 computations (96.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

ival-mult: 31.0ms (45.1% of total)

...c/correct-round.rkt:119:19: 15.0ms (21.8% of total)

ival-sub: 10.0ms (14.6% of total)

ival-add: 6.0ms (8.7% of total)

ival-div: 5.0ms (7.3% of total)

const: 0.0ms (0% of total)

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

series10.0ms (0.1%)

Counts

19 → 228

Calls

Call 1

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

Outputs
#<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 (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) (- (* 1/240 (pow x 2)) 1/12)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/240 (* -1/6048 (pow x 2)))) 1/12)))>
#<alt (/ 20160 (pow x 6))>
#<alt (/ (- 20160 (* 1128960 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 20160 (/ 29352960 (pow x 4))) (* 1128960 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 20160 (/ 29352960 (pow x 4))) (+ (* 1128960 (/ 1 (pow x 2))) (* 153538560 (/ 1 (pow x 6))))) (pow x 6))>
#<alt (/ 20160 (pow x 6))>
#<alt (/ (- 20160 (* 1128960 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 20160 (/ 29352960 (pow x 4))) (* 1128960 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 20160 (/ 29352960 (pow x 4))) (+ (* 1128960 (/ 1 (pow x 2))) (* 153538560 (/ 1 (pow x 6))))) (pow x 6))>
#<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 (* 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 (* (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>
#<alt (- (* 1/144 (pow x 4)) 1)>
#<alt (- (* (pow x 4) (+ 1/144 (* 1/2160 (pow x 2)))) 1)>
#<alt (- (* (pow x 4) (+ 1/144 (* (pow x 2) (+ 1/2160 (* 29/1814400 (pow x 2)))))) 1)>
#<alt (* 1/406425600 (pow x 12))>
#<alt (* (pow x 12) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2)))))>
#<alt (* (pow x 12) (+ 1/406425600 (+ (/ 29/1814400 (pow x 4)) (* 1/3628800 (/ 1 (pow x 2))))))>
#<alt (* (pow x 12) (+ 1/406425600 (+ (/ 29/1814400 (pow x 4)) (+ (* 1/3628800 (/ 1 (pow x 2))) (* 1/2160 (/ 1 (pow x 6)))))))>
#<alt (* 1/406425600 (pow x 12))>
#<alt (* (pow x 12) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2)))))>
#<alt (* (pow x 12) (+ 1/406425600 (+ (/ 29/1814400 (pow x 4)) (* 1/3628800 (/ 1 (pow x 2))))))>
#<alt (* (pow x 12) (+ 1/406425600 (+ (/ 29/1814400 (pow x 4)) (+ (* 1/3628800 (/ 1 (pow x 2))) (* 1/2160 (/ 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 (* 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 (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>

Calls

57 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/ 1 (/ (+ 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))) (+ 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))))) (* (* x x) (* x x))))))))
0.0ms	x	@	-inf	(* x (* x x))
0.0ms	x	@	0	(* (* x x) (* (* (* x x) 1/20160) (* x (* x (* x x)))))
0.0ms	x	@	0	(/ 1 (/ (+ 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))) (+ 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))))) (* (* x x) (* x x))))))))
0.0ms	x	@	0	(* (* (* x x) 1/20160) (* x (* x (* x x))))

rewrite590.0ms (5%)

Algorithm

1×	batch-egg-rewrite

Rules

4494×	`-lowering-.f32`
4494×	`-lowering-.f64`
3972×	`/-lowering-/.f32`
3972×	`/-lowering-/.f64`
2062×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	434
1	231	252
2	2196	247
0	9058	247

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 611

Calls

Call 1

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

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

simplify237.0ms (2%)

Algorithm

1×	egg-herbie

Rules

2684×	`-lowering-.f32`
2684×	`-lowering-.f64`
2516×	`+-lowering-+.f64`
2516×	`+-lowering-+.f32`
1538×	`sum4-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	118	1821
1	364	1531
2	1081	1506
3	3288	1506
4	5570	1506
0	8166	1506

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

Inputs
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))))))
(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) (- (* 1/240 (pow x 2)) 1/12)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/240 (* -1/6048 (pow x 2)))) 1/12)))
(/ 20160 (pow x 6))
(/ (- 20160 (* 1128960 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 20160 (/ 29352960 (pow x 4))) (* 1128960 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 20160 (/ 29352960 (pow x 4))) (+ (* 1128960 (/ 1 (pow x 2))) (* 153538560 (/ 1 (pow x 6))))) (pow x 6))
(/ 20160 (pow x 6))
(/ (- 20160 (* 1128960 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 20160 (/ 29352960 (pow x 4))) (* 1128960 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 20160 (/ 29352960 (pow x 4))) (+ (* 1128960 (/ 1 (pow x 2))) (* 153538560 (/ 1 (pow x 6))))) (pow x 6))
(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))
(* 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 (* (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
(- (* 1/144 (pow x 4)) 1)
(- (* (pow x 4) (+ 1/144 (* 1/2160 (pow x 2)))) 1)
(- (* (pow x 4) (+ 1/144 (* (pow x 2) (+ 1/2160 (* 29/1814400 (pow x 2)))))) 1)
(* 1/406425600 (pow x 12))
(* (pow x 12) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2)))))
(* (pow x 12) (+ 1/406425600 (+ (/ 29/1814400 (pow x 4)) (* 1/3628800 (/ 1 (pow x 2))))))
(* (pow x 12) (+ 1/406425600 (+ (/ 29/1814400 (pow x 4)) (+ (* 1/3628800 (/ 1 (pow x 2))) (* 1/2160 (/ 1 (pow x 6)))))))
(* 1/406425600 (pow x 12))
(* (pow x 12) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2)))))
(* (pow x 12) (+ 1/406425600 (+ (/ 29/1814400 (pow x 4)) (* 1/3628800 (/ 1 (pow x 2))))))
(* (pow x 12) (+ 1/406425600 (+ (/ 29/1814400 (pow x 4)) (+ (* 1/3628800 (/ 1 (pow x 2))) (* 1/2160 (/ 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))
(* 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)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)

Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/12 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (.f64 x x)))
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x 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 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))))
(* 1/20160 (pow x 6))
(.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/20160 binary64) (.f64 x (.f64 x x))))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (+.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (.f64 x x))) (/.f64 #s(literal 1/12 binary64) (.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 x (.f64 x x)) (.f64 x (.f64 x x))) (+.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (.f64 x x))) (/.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(* 1/20160 (pow x 6))
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(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (+.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (.f64 x x))) (/.f64 #s(literal 1/12 binary64) (.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 x (.f64 x x)) (.f64 x (.f64 x x))) (+.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (.f64 x x))) (/.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(* 1/20160 (pow x 6))
(.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/20160 binary64) (.f64 x (.f64 x x))))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (+.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (.f64 x x))) (/.f64 #s(literal 1/12 binary64) (.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 x (.f64 x x)) (.f64 x (.f64 x x))) (+.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (.f64 x x))) (/.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (.f64 x x)))))))
-1
#s(literal -1 binary64)
(- (* 1/144 (pow x 4)) 1)
(+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/144 binary64)) #s(literal -1 binary64))
(- (* (pow x 4) (+ 1/144 (* 1/2160 (pow x 2)))) 1)
(+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) #s(literal 1/2160 binary64)))) #s(literal -1 binary64))
(- (* (pow x 4) (+ 1/144 (* (pow x 2) (+ 1/2160 (* 29/1814400 (pow x 2)))))) 1)
(+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2160 binary64) (.f64 (.f64 x x) #s(literal 29/1814400 binary64)))))) #s(literal -1 binary64))
(* 1/406425600 (pow x 12))
(.f64 #s(literal 1/406425600 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))
(* (pow x 12) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/406425600 binary64) (/.f64 #s(literal 1/3628800 binary64) (*.f64 x x))))
(* (pow x 12) (+ 1/406425600 (+ (/ 29/1814400 (pow x 4)) (* 1/3628800 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal 1/3628800 binary64) (.f64 x x)) (+.f64 #s(literal 1/406425600 binary64) (/.f64 (/.f64 #s(literal 29/1814400 binary64) (.f64 x (*.f64 x x))) x))))
(* (pow x 12) (+ 1/406425600 (+ (/ 29/1814400 (pow x 4)) (+ (* 1/3628800 (/ 1 (pow x 2))) (* 1/2160 (/ 1 (pow x 6)))))))
(.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (+.f64 (+.f64 (/.f64 #s(literal 1/3628800 binary64) (.f64 x x)) (/.f64 (/.f64 #s(literal 29/1814400 binary64) (.f64 x (.f64 x x))) x)) (+.f64 #s(literal 1/406425600 binary64) (/.f64 #s(literal 1/2160 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))))
(* 1/406425600 (pow x 12))
(.f64 #s(literal 1/406425600 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))
(* (pow x 12) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/406425600 binary64) (/.f64 #s(literal 1/3628800 binary64) (*.f64 x x))))
(* (pow x 12) (+ 1/406425600 (+ (/ 29/1814400 (pow x 4)) (* 1/3628800 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal 1/3628800 binary64) (.f64 x x)) (+.f64 #s(literal 1/406425600 binary64) (/.f64 (/.f64 #s(literal 29/1814400 binary64) (.f64 x (*.f64 x x))) x))))
(* (pow x 12) (+ 1/406425600 (+ (/ 29/1814400 (pow x 4)) (+ (* 1/3628800 (/ 1 (pow x 2))) (* 1/2160 (/ 1 (pow x 6)))))))
(.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (+.f64 (+.f64 (/.f64 #s(literal 1/3628800 binary64) (.f64 x x)) (/.f64 (/.f64 #s(literal 29/1814400 binary64) (.f64 x (.f64 x x))) x)) (+.f64 #s(literal 1/406425600 binary64) (/.f64 #s(literal 1/2160 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))))
(* 1/12 (pow x 2))
(.f64 #s(literal 1/12 binary64) (.f64 x x))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(.f64 (.f64 x 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 (.f64 x 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 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64))))))
(* 1/20160 (pow x 6))
(.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/20160 binary64) (.f64 x (.f64 x x))))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (+.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (.f64 x x))) (/.f64 #s(literal 1/12 binary64) (.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 x (.f64 x x)) (.f64 x (.f64 x x))) (+.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (.f64 x x))) (/.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* 1/20160 (pow x 6))
(.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/20160 binary64) (.f64 x (.f64 x x))))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (+.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (.f64 x x))) (/.f64 #s(literal 1/12 binary64) (.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 x (.f64 x x)) (.f64 x (.f64 x x))) (+.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (.f64 x x))) (/.f64 #s(literal 1/12 binary64) (.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))
(* 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 (.f64 x 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 (.f64 x 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 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64))))
(* 1/20160 (pow x 4))
(.f64 x (.f64 #s(literal 1/20160 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64))))
(* 1/20160 (pow x 4))
(.f64 x (.f64 #s(literal 1/20160 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 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)))
(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))
(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)))

eval469.0ms (4%)

Compiler: Compiled 171059 to 5265 computations (96.9% saved)

prune174.0ms (1.5%)

Pruning

24 alts after pruning (16 fresh and 8 done)

	Pruned	Kept	Total
New	1971	6	1977
Fresh	2	10	12
Picked	3	2	5
Done	0	6	6
Total	1976	24	2000

Accuracy

100.0%

Counts

2000 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	5.8%	(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)))
	53.5%	(/.f64 (-.f64 (.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (.f64 (-.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 x))) (exp.f64 (.f64 x #s(literal -2 binary64))))) (.f64 (-.f64 (+.f64 (exp.f64 x) #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)))))
	53.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))))
✓	52.7%	(-.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/12 binary64)))))) #s(literal 2 binary64))
✓	53.3%	(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
	52.7%	(+.f64 (+.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64))
✓	99.6%	(+.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))
	99.4%	(+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64))) (*.f64 x x))
	99.5%	(.f64 (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64)))) #s(literal 1 binary64)) (.f64 x x))
	52.1%	(.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) (.f64 x (.f64 x (.f64 x x))))
	99.4%	(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))) x)
	99.5%	(.f64 (.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 #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)))) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal 1/12 binary64) (*.f64 x x)) #s(literal 1 binary64))))
	99.6%	(.f64 (.f64 x x) (/.f64 (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2160 binary64) (.f64 (.f64 x x) #s(literal 29/1814400 binary64)))))) #s(literal -1 binary64)) (-.f64 (.f64 (.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))))))) #s(literal 1 binary64))))
	51.7%	(.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 20160 binary64) (/.f64 #s(literal -1128960 binary64) (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))))
✓	99.6%	(.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 x (.f64 x #s(literal 1/20160 binary64))))))))))
✓	99.4%	(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
	52.1%	(.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)))))
	52.0%	(.f64 (.f64 x x) (.f64 (.f64 (.f64 x #s(literal 1/20160 binary64)) x) (.f64 x (.f64 x (.f64 x x)))))
	52.5%	(.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)))))))
	52.5%	(.f64 (.f64 x x) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))))))
	52.5%	(.f64 (.f64 x x) (.f64 #s(literal 1/12 binary64) (.f64 x x)))
✓	98.9%	(*.f64 x x)
	7.1%	(expm1.f64 x)
✓	6.8%	x

Compiler

Compiled 1267 to 399 computations (68.5% saved)

regimes23.0ms (0.2%)

Counts

40 → 1

Calls

Call 1

Inputs
x
(*.f64 x x)
(+.f64 (+.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64))
(-.f64 (+.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))
(.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x))))
(.f64 (.f64 x x) (.f64 #s(literal 1/12 binary64) (.f64 x x)))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))) x)
(.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) (.f64 x (.f64 x (.f64 x x))))
(+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64))) (*.f64 x x))
(.f64 (.f64 x x) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))))))
(-.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/12 binary64)))))) #s(literal 2 binary64))
(.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))))
(.f64 (.f64 x x) (.f64 (.f64 (.f64 x #s(literal 1/20160 binary64)) x) (.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 (+.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)
(.f64 (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64)))) #s(literal 1 binary64)) (.f64 x x))
(.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)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/20160 binary64))))))))
(+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 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 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (.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 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))))))
(.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 20160 binary64) (/.f64 #s(literal -1128960 binary64) (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 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 x x) (/.f64 (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2160 binary64) (.f64 (.f64 x x) #s(literal 29/1814400 binary64)))))) #s(literal -1 binary64)) (-.f64 (.f64 (.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))))))) #s(literal 1 binary64))))
(.f64 (.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 #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)))) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal 1/12 binary64) (*.f64 x x)) #s(literal 1 binary64))))
(.f64 (.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 #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)))) #s(literal 1 binary64)) (-.f64 (.f64 (.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))))))) #s(literal 1 binary64))))
(expm1.f64 x)
(.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.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 (.f64 (.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))))))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.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 (+.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 (exp.f64 x) #s(literal -1 binary64))
(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))))
(+.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)))
(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)))
(/.f64 (-.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 (+.f64 (exp.f64 x) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x)))) (exp.f64 (.f64 x #s(literal -2 binary64))))) (.f64 (+.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 (.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (.f64 (-.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 x))) (exp.f64 (.f64 x #s(literal -2 binary64))))) (.f64 (-.f64 (+.f64 (exp.f64 x) #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)))))

Outputs
(+.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))

Calls

2 calls:

12.0ms	x
8.0ms	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes9.0ms (0.1%)

Counts

26 → 1

Calls

Call 1

Inputs
x
(*.f64 x x)
(+.f64 (+.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64))
(-.f64 (+.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))
(.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x))))
(.f64 (.f64 x x) (.f64 #s(literal 1/12 binary64) (.f64 x x)))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))) x)
(.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) (.f64 x (.f64 x (.f64 x x))))
(+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64))) (*.f64 x x))
(.f64 (.f64 x x) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))))))
(-.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/12 binary64)))))) #s(literal 2 binary64))
(.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))))
(.f64 (.f64 x x) (.f64 (.f64 (.f64 x #s(literal 1/20160 binary64)) x) (.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 (+.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)
(.f64 (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64)))) #s(literal 1 binary64)) (.f64 x x))
(.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)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/20160 binary64))))))))
(+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 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 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (.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 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))))))
(.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 20160 binary64) (/.f64 #s(literal -1128960 binary64) (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))))

Outputs

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
99.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes9.0ms (0.1%)

Counts

24 → 1

Calls

Call 1

Inputs
x
(*.f64 x x)
(+.f64 (+.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64))
(-.f64 (+.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))
(.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x))))
(.f64 (.f64 x x) (.f64 #s(literal 1/12 binary64) (.f64 x x)))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))) x)
(.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) (.f64 x (.f64 x (.f64 x x))))
(+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64))) (*.f64 x x))
(.f64 (.f64 x x) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))))))
(-.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/12 binary64)))))) #s(literal 2 binary64))
(.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))))
(.f64 (.f64 x x) (.f64 (.f64 (.f64 x #s(literal 1/20160 binary64)) x) (.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 (+.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)
(.f64 (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64)))) #s(literal 1 binary64)) (.f64 x x))
(.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)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/20160 binary64))))))))
(+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 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 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/20160 binary64))))))))

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
99.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0.1%)

Counts

21 → 1

Calls

Call 1

Inputs
x
(*.f64 x x)
(+.f64 (+.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64))
(-.f64 (+.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))
(.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x))))
(.f64 (.f64 x x) (.f64 #s(literal 1/12 binary64) (.f64 x x)))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))) x)
(.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) (.f64 x (.f64 x (.f64 x x))))
(+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64))) (*.f64 x x))
(.f64 (.f64 x x) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))))))
(-.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/12 binary64)))))) #s(literal 2 binary64))
(.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))))
(.f64 (.f64 x x) (.f64 (.f64 (.f64 x #s(literal 1/20160 binary64)) x) (.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 (+.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)
(.f64 (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64)))) #s(literal 1 binary64)) (.f64 x x))
(.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)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.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:

6.0ms

Results

Accuracy	Segments	Branch
99.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

Counts

16 → 1

Calls

Call 1

Inputs
x
(*.f64 x x)
(+.f64 (+.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64))
(-.f64 (+.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))
(.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x))))
(.f64 (.f64 x x) (.f64 #s(literal 1/12 binary64) (.f64 x x)))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))) x)
(.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) (.f64 x (.f64 x (.f64 x x))))
(+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64))) (*.f64 x x))
(.f64 (.f64 x x) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))))))
(-.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/12 binary64)))))) #s(literal 2 binary64))
(.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))))
(.f64 (.f64 x x) (.f64 (.f64 (.f64 x #s(literal 1/20160 binary64)) x) (.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 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64))) (*.f64 x x))

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
99.4%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.4%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

6 → 1

Calls

Call 1

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

Outputs
(*.f64 x x)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.9%	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
6.8%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

38×	`*-commutative_binary64`
22×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	112
1	70	112

Stop Event

1×

saturated

Calls

Call 1

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

soundness1.1s (9.2%)

Rules

3232×	`-lowering-.f32`
3232×	`-lowering-.f64`
2580×	`fma-lowering-fma.f32`
2580×	`fma-lowering-fma.f64`
2442×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	146
1	237	123
2	2195	120
0	8353	120
0	94	1766
1	311	1431
2	924	1398
3	2704	1376
4	4360	1356
5	7976	1356
0	8392	1356
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	67	495
1	193	430
2	534	423
3	1519	423
4	2668	423
5	6031	423
6	7677	423
0	8139	423

Stop Event

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

Compiler

Compiled 398 to 211 computations (47% saved)

preprocess53.0ms (0.4%)

Remove: (abs x)
Compiler: Compiled 528 to 232 computations (56.1% saved)

analyze0.0ms (0%)

sample3.6s (30.4%)

preprocess62.0ms (0.5%)

explain356.0ms (3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify39.0ms (0.3%)

localize194.0ms (1.6%)

series4.0ms (0%)

rewrite361.0ms (3%)

simplify227.0ms (1.9%)

eval70.0ms (0.6%)

prune59.0ms (0.5%)

simplify178.0ms (1.5%)

localize1.1s (9.1%)

series79.0ms (0.7%)

rewrite386.0ms (3.3%)

simplify261.0ms (2.2%)

eval98.0ms (0.8%)

prune89.0ms (0.8%)

simplify248.0ms (2.1%)

localize390.0ms (3.3%)

series10.0ms (0.1%)

rewrite419.0ms (3.5%)

simplify194.0ms (1.6%)

eval114.0ms (1%)

prune101.0ms (0.9%)

simplify236.0ms (2%)

localize291.0ms (2.5%)

series10.0ms (0.1%)

rewrite590.0ms (5%)

simplify237.0ms (2%)

eval469.0ms (4%)

prune174.0ms (1.5%)

regimes23.0ms (0.2%)

regimes9.0ms (0.1%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes1.0ms (0%)

simplify10.0ms (0.1%)

soundness1.1s (9.2%)

preprocess53.0ms (0.4%)

end0.0ms (0%)

Profiling