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)

sample4.0s (32%)

Results

3.2s	5659×	2	valid
463.0ms	2434×	1	valid
14.0ms	163×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.7s

ival-exp: 1.9s (68.8% of total)

backward-pass: 253.0ms (9.3% of total)

ival-sub: 164.0ms (6% of total)

ival-neg: 159.0ms (5.8% of total)

ival-add: 150.0ms (5.5% of total)

ival-fabs: 75.0ms (2.8% of total)

ival-<=: 31.0ms (1.1% of total)

const: 19.0ms (0.7% of total)

Bogosity

preprocess70.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	25
1	43	22
2	106	22
3	265	22
4	642	22
5	1137	22
6	1364	22
7	1413	22
0	7	8
1	21	7
2	40	7
3	66	7
4	121	7
5	220	7
6	504	7
7	959	7
8	1170	7
9	1241	7
10	1255	7
0	1255	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 (fast-exp x) (fast-exp (neg x)) -2)
(+ (- (exp (neg x)) 2) (exp (neg (neg x))))
(sum3 (fast-exp x) (fast-exp (neg x)) -2)
(neg (+ (- (exp (neg x)) 2) (exp (neg (neg x)))))
(- (- 2 (fast-exp (neg x))) (fast-exp x))

Symmetry

(abs x)

explain300.0ms (2.4%)

FPErrors

Click to see full error table

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

Results

213.0ms	320×	2	valid
43.0ms	182×	1	valid
1.0ms	10×	0	valid

Compiler

Compiled 55 to 23 computations (58.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 144.0ms

ival-exp: 100.0ms (69.4% of total)

backward-pass: 20.0ms (13.9% of total)

ival-sub: 8.0ms (5.6% of total)

ival-add: 7.0ms (4.9% of total)

ival-neg: 6.0ms (4.2% of total)

const: 1.0ms (0.7% 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
▶	49.3%	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
▶	49.3%	(+.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)

simplify41.0ms (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	31	40
2	49	40
3	71	40
4	122	40
5	220	40
6	503	40
7	960	40
8	1171	40
9	1242	40
10	1256	40
0	1256	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)

localize180.0ms (1.4%)

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	99.9%	(-.f64 (exp.f64 x) #s(literal 2 binary64))
✓	accuracy	49.2%	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (exp.f64 x))
✓	accuracy	49.2%	(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))

Results

125.0ms	160×	2	valid
31.0ms	91×	1	valid
1.0ms	5×	0	valid

Compiler

Compiled 47 to 13 computations (72.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 90.0ms

ival-exp: 49.0ms (54.4% of total)

backward-pass: 16.0ms (17.8% of total)

ival-add: 10.0ms (11.1% of total)

ival-div: 7.0ms (7.8% of total)

ival-sub: 3.0ms (3.3% of total)

ival-neg: 3.0ms (3.3% of total)

const: 1.0ms (1.1% 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)))

rewrite328.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

3818×	`/-lowering-/.f32`
3818×	`/-lowering-/.f64`
3226×	`-lowering-.f32`
3226×	`-lowering-.f64`
1926×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	33
1	86	29
2	836	27
0	8599	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 (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 (/.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 (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 (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 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 (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 (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)))))
(-.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))))
(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 (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))))))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (exp.f64 (*.f64 x #s(literal -2 binary64)))) (+.f64 (+.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x))) (/.f64 #s(literal 1 binary64) (exp.f64 x)))))
(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))))))))
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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 #s(literal 0 binary64) (+.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 #s(literal 0 binary64) (+.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 #s(literal 0 binary64) (+.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 #s(literal 0 binary64) (+.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))))

simplify235.0ms (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	197	430
2	537	423
3	1508	423
4	2654	423
5	6015	423
6	7672	423
0	8135	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 x (.f64 x #s(literal 1/12 binary64)))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))))))
(- (+ (exp x) (/ 1 (exp x))) 2)
(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(- (+ (exp x) (/ 1 (exp x))) 2)
(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(- (+ (exp x) (/ 1 (exp x))) 2)
(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(- (+ (exp x) (/ 1 (exp x))) 2)
(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(- (+ (exp x) (/ 1 (exp x))) 2)
(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(- (+ (exp x) (/ 1 (exp x))) 2)
(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(- (+ (exp x) (/ 1 (exp x))) 2)
(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(- (+ (exp x) (/ 1 (exp x))) 2)
(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* 1/2 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #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 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal -2 binary64))
(- (/ 1 (exp x)) 2)
(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal -2 binary64))
(- (/ 1 (exp x)) 2)
(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal -2 binary64))
(- (/ 1 (exp x)) 2)
(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal -2 binary64))
(- (/ 1 (exp x)) 2)
(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal -2 binary64))
(- (/ 1 (exp x)) 2)
(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal -2 binary64))
(- (/ 1 (exp x)) 2)
(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal -2 binary64))
(- (/ 1 (exp x)) 2)
(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) 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))
(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))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/12 binary64)))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))))))
(- (+ (exp x) (exp (neg x))) 2)
(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(- (+ (exp x) (exp (neg x))) 2)
(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(- (+ (exp x) (exp (neg x))) 2)
(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(- (+ (exp x) (exp (neg x))) 2)
(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(- (+ (exp x) (exp (* -1 x))) 2)
(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(- (+ (exp x) (exp (* -1 x))) 2)
(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(- (+ (exp x) (exp (* -1 x))) 2)
(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(- (+ (exp x) (exp (* -1 x))) 2)
(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (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 (.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)
(+.f64 (.f64 x (+.f64 #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))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp (neg x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp (neg x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp (neg x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp (* -1 x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp (* -1 x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp (* -1 x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp (* -1 x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))

eval106.0ms (0.8%)

Compiler: Compiled 15822 to 1182 computations (92.5% saved)

prune101.0ms (0.8%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	641	10	651
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	641	12	653

Accuracy

100.0%

Counts

653 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.0%	(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)))
	49.1%	(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))) (-.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x))))
	49.3%	(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64))) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
▶	49.3%	(/.f64 (+.f64 (.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))) #s(literal 1 binary64)) (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))))
▶	49.1%	(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
✓	49.3%	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
✓	49.3%	(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
	47.7%	(+.f64 (exp.f64 x) #s(literal -1 binary64))
▶	99.0%	(.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))))))
▶	99.1%	(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))))))
	98.8%	(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/12 binary64)))))
▶	98.2%	(*.f64 x x)

Compiler

Compiled 337 to 188 computations (44.2% saved)

simplify170.0ms (1.4%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 (*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))) #s(literal 1 binary64))
✓	cost-diff	128	(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64))))
✓	cost-diff	128	(*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64))))
✓	cost-diff	13568	(/.f64 (+.f64 (.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))) #s(literal 1 binary64)) (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))))
✓	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 (.f64 x 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 (.f64 x 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 (.f64 x x) #s(literal 1/20160 binary64)))))))))

Rules

2318×	`sum3-define`
2180×	`sum4-define`
1620×	`-lowering-.f32`
1620×	`-lowering-.f64`
1534×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	209
1	112	189
2	336	187
3	974	187
4	2372	187
5	3466	187
6	5179	187
7	6605	187
0	8222	187

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)
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) (/ 1 (+ (/ 1 (exp x)) -2))) 1) (* 1 (/ 1 (+ (/ 1 (exp x)) -2))))
(+ (* (exp x) (/ 1 (+ (/ 1 (exp x)) -2))) 1)
(* (exp x) (/ 1 (+ (/ 1 (exp x)) -2)))
(exp x)
x
(/ 1 (+ (/ 1 (exp x)) -2))
1
(+ (/ 1 (exp x)) -2)
(/ 1 (exp x))
-2
(* 1 (/ 1 (+ (/ 1 (exp x)) -2)))

Outputs
(* (* x x) (+ 1 (* (* x x) (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))))))
(.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))))))))))
(* x x)
(*.f64 x x)
x
(+ 1 (* (* x x) (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160)))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))))
1
#s(literal 1 binary64)
(* (* x x) (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 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 x (.f64 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 x (.f64 x #s(literal 1/20160 binary64)))))
(* x (+ 1/360 (* (* x x) 1/20160)))
(.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (*.f64 x #s(literal 1/20160 binary64)))))
(+ 1/360 (* (* x x) 1/20160))
(+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))
1/360
#s(literal 1/360 binary64)
(* (* x x) 1/20160)
(.f64 x (.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) (/ 1 (+ (/ 1 (exp x)) -2))) 1) (* 1 (/ 1 (+ (/ 1 (exp x)) -2))))
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
(+ (* (exp x) (/ 1 (+ (/ 1 (exp x)) -2))) 1)
(+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal -2 binary64))))
(* (exp x) (/ 1 (+ (/ 1 (exp x)) -2)))
(/.f64 (exp.f64 x) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal -2 binary64)))
(exp x)
(exp.f64 x)
x
(/ 1 (+ (/ 1 (exp x)) -2))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal -2 binary64)))
1
#s(literal 1 binary64)
(+ (/ 1 (exp x)) -2)
(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal -2 binary64))
(/ 1 (exp x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
-2
#s(literal -2 binary64)
(* 1 (/ 1 (+ (/ 1 (exp x)) -2)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal -2 binary64)))

localize495.0ms (4%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (exp.f64 x))
✓	accuracy	100.0%	(*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64))))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
✓	accuracy	49.3%	(+.f64 (*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) (cosh.f64 x))
✓	accuracy	100.0%	(cosh.f64 x)
✓	accuracy	49.1%	(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64)))
✓	accuracy	100.0%	(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))))))
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal 1/360 binary64))
✓	accuracy	99.7%	(.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(.f64 (.f64 x x) #s(literal 1/20160 binary64))
✓	accuracy	99.8%	(.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))
✓	accuracy	99.7%	(.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))))
✓	accuracy	99.6%	(.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (*.f64 x x) #s(literal 1/20160 binary64))))

Results

334.0ms	160×	2	valid
93.0ms	91×	1	valid
2.0ms	5×	0	valid

Compiler

Compiled 273 to 33 computations (87.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 255.0ms

ival-mult: 86.0ms (33.8% of total)

ival-cosh: 49.0ms (19.3% of total)

backward-pass: 38.0ms (14.9% of total)

...c/correct-round.rkt:119:19: 22.0ms (8.6% of total)

ival-add: 22.0ms (8.6% of total)

ival-exp: 16.0ms (6.3% of total)

ival-div: 15.0ms (5.9% of total)

ival-sub: 4.0ms (1.6% of total)

const: 2.0ms (0.8% of total)

series20.0ms (0.2%)

Counts

21 → 252

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

Outputs
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt (* 1/20160 (pow x 8))>
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/20160 (pow x 8))>
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (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) (- (/ 1 (exp x)) 2))) (- (/ 1 (exp x)) 2))>
#<alt (* (+ 1 (/ (exp x) (- (/ 1 (exp x)) 2))) (- (/ 1 (exp x)) 2))>
#<alt (* (+ 1 (/ (exp x) (- (/ 1 (exp x)) 2))) (- (/ 1 (exp x)) 2))>
#<alt (* (+ 1 (/ (exp x) (- (/ 1 (exp x)) 2))) (- (/ 1 (exp x)) 2))>
#<alt (* (+ 1 (/ (exp x) (- (/ 1 (exp x)) 2))) (- (/ 1 (exp x)) 2))>
#<alt (* (+ 1 (/ (exp x) (- (/ 1 (exp x)) 2))) (- (/ 1 (exp x)) 2))>
#<alt (* (+ 1 (/ (exp x) (- (/ 1 (exp x)) 2))) (- (/ 1 (exp x)) 2))>
#<alt (* (+ 1 (/ (exp x) (- (/ 1 (exp x)) 2))) (- (/ 1 (exp x)) 2))>
#<alt -1>
#<alt (- (* -1 (pow x 2)) 1)>
#<alt (- (* (pow x 2) (- x 1)) 1)>
#<alt (- (* (pow x 2) (- (* x (+ 1 (* -19/12 x))) 1)) 1)>
#<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 (- x 1)>
#<alt (- (* x (+ 1 (* -3/2 x))) 1)>
#<alt (- (* x (+ 1 (* x (- (* 13/6 x) 3/2)))) 1)>
#<alt (/ 1 (- (/ 1 (exp x)) 2))>
#<alt (/ 1 (- (/ 1 (exp x)) 2))>
#<alt (/ 1 (- (/ 1 (exp x)) 2))>
#<alt (/ 1 (- (/ 1 (exp x)) 2))>
#<alt (/ 1 (- (/ 1 (exp x)) 2))>
#<alt (/ 1 (- (/ 1 (exp x)) 2))>
#<alt (/ 1 (- (/ 1 (exp x)) 2))>
#<alt (/ 1 (- (/ 1 (exp x)) 2))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- x 1))>
#<alt (* (pow x 2) (- (* x (+ 1 (* -19/12 x))) 1))>
#<alt (* (pow x 2) (- (* x (+ 1 (* x (- (* 9/4 x) 19/12)))) 1))>
#<alt (+ 1 (/ (exp x) (- (/ 1 (exp x)) 2)))>
#<alt (+ 1 (/ (exp x) (- (/ 1 (exp x)) 2)))>
#<alt (+ 1 (/ (exp x) (- (/ 1 (exp x)) 2)))>
#<alt (+ 1 (/ (exp x) (- (/ 1 (exp x)) 2)))>
#<alt (+ 1 (/ (exp x) (- (/ 1 (exp x)) 2)))>
#<alt (+ 1 (/ (exp x) (- (/ 1 (exp x)) 2)))>
#<alt (+ 1 (/ (exp x) (- (/ 1 (exp x)) 2)))>
#<alt (+ 1 (/ (exp x) (- (/ 1 (exp x)) 2)))>
#<alt (* 1/360 x)>
#<alt (* x (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* x (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* x (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* 1/360 (pow x 2))>
#<alt (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt 1/12>
#<alt (+ 1/12 (* 1/360 (pow x 2)))>
#<alt (+ 1/12 (* 1/360 (pow x 2)))>
#<alt (+ 1/12 (* 1/360 (pow x 2)))>
#<alt (* 1/360 (pow x 2))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* 1/360 (pow x 2))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt -1>
#<alt (- x 1)>
#<alt (- (* x (+ 1 (* -3/2 x))) 1)>
#<alt (- (* x (+ 1 (* x (- (* 13/6 x) 3/2)))) 1)>
#<alt (/ 1 (- (/ 1 (exp x)) 2))>
#<alt (/ 1 (- (/ 1 (exp x)) 2))>
#<alt (/ 1 (- (/ 1 (exp x)) 2))>
#<alt (/ 1 (- (/ 1 (exp x)) 2))>
#<alt (/ 1 (- (/ 1 (exp x)) 2))>
#<alt (/ 1 (- (/ 1 (exp x)) 2))>
#<alt (/ 1 (- (/ 1 (exp x)) 2))>
#<alt (/ 1 (- (/ 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))>

Calls

63 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	(* (* x x) (+ 1 (* (* x x) (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))))))
1.0ms	x	@	-inf	(/ (+ (* (exp x) (/ 1 (+ (/ 1 (exp x)) -2))) 1) (* 1 (/ 1 (+ (/ 1 (exp x)) -2))))
1.0ms	x	@	0	(* 2 (cosh x))
1.0ms	x	@	inf	(/ (+ (* (exp x) (/ 1 (+ (/ 1 (exp x)) -2))) 1) (* 1 (/ 1 (+ (/ 1 (exp x)) -2))))
1.0ms	x	@	inf	(- (* 2 (cosh x)) 2)

rewrite406.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

3612×	`-lowering-.f32`
3612×	`-lowering-.f64`
2884×	`/-lowering-/.f32`
2884×	`/-lowering-/.f64`
2458×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	177
1	233	160
2	1994	158
0	9448	158

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 588

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

Outputs
(+.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))) (.f64 (.f64 x x) (*.f64 x x))))
(+.f64 (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))) (.f64 (.f64 x x) (.f64 x x))) (*.f64 x x))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 (.f64 (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))) (.f64 (.f64 x x) (.f64 x x))) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))) (.f64 (.f64 x x) (.f64 x x)))) (-.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))) (.f64 (.f64 x x) (.f64 x x))))))
(fma.f64 x x (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x 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 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))) (.f64 (.f64 x x) (*.f64 x x))))
(fma.f64 x (.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64))))))))) (.f64 x x))
(fma.f64 x (.f64 (.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))))))) (.f64 x x)) (.f64 x x))
(fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))) (.f64 (.f64 x x) (*.f64 x x))))
(fma.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)))))))) (.f64 x x))
(fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))) (.f64 (.f64 x x) (*.f64 x x))))
(fma.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))) (.f64 (.f64 x x) (.f64 x x)) (.f64 x x))
(fma.f64 (.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)))))))) (.f64 x x) (.f64 x x))
(fma.f64 (.f64 x (.f64 x x)) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x 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 x (.f64 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 binary64) x) x (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))) (.f64 (.f64 x x) (*.f64 x x))))
(fma.f64 (.f64 (.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))
(/.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))) (.f64 (.f64 x x) (.f64 x x))) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))) (.f64 (.f64 x x) (.f64 x x)))))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (.f64 (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))) (.f64 (.f64 x x) (.f64 x x))) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))) (.f64 (.f64 x x) (*.f64 x x)))))))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))) (.f64 (.f64 x x) (.f64 x x))) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))) (.f64 (.f64 x x) (.f64 x x))))) (-.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))) (.f64 (.f64 x x) (*.f64 x x)))))
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(/.f64 (neg.f64 (+.f64 #s(literal 1/1728 binary64) (.f64 #s(literal 1/46656000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) (neg.f64 (+.f64 (.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal 1/144 binary64) (.f64 #s(literal 1/4320 binary64) (.f64 x x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/144 binary64) (.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) (.f64 x x))))) (neg.f64 (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/360 binary64) (.f64 x x)))))
(/.f64 (-.f64 (.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/144 binary64)) (-.f64 (.f64 x (.f64 x #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1/144 binary64) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/360 binary64) (.f64 x x)))) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/360 binary64) (.f64 x x))) (.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) (.f64 x x))))) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/360 binary64) (.f64 x x))) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/360 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1/1728 binary64) (.f64 #s(literal 1/46656000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/144 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/360 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/144 binary64) (.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) (.f64 x x)))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/360 binary64) (.f64 x x))))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/144 binary64))) (neg.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/360 binary64))) #s(literal 1/12 binary64))))
(pow.f64 (/.f64 (+.f64 #s(literal 1/144 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/360 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))) (+.f64 #s(literal 1/1728 binary64) (.f64 #s(literal 1/46656000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/360 binary64) (.f64 x x))) (-.f64 #s(literal 1/144 binary64) (.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) (.f64 x x))))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal 1/1728 binary64) (.f64 #s(literal 1/46656000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/144 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/360 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 1/360 binary64))) #s(literal 1/12 binary64))))))
(.f64 (-.f64 #s(literal 1/144 binary64) (.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/360 binary64) (*.f64 x x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64))))))
(pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64))))
(*.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) #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 (/.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(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)))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)))))
(pow.f64 (exp.f64 x) #s(literal -1 binary64))
(pow.f64 (exp.f64 (+.f64 x x)) #s(literal -1/2 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) (exp.f64 x)))
(.f64 (exp.f64 (.f64 x #s(literal -1/2 binary64))) (exp.f64 (*.f64 x #s(literal -1/2 binary64))))

simplify249.0ms (2%)

Algorithm

1×	egg-herbie

Rules

3802×	`-lowering-.f32`
3802×	`-lowering-.f64`
2794×	`+-lowering-+.f64`
2794×	`+-lowering-+.f32`
1586×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	142	2169
1	452	1825
2	1287	1809
3	3893	1809
0	9034	1809

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))))))
(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) (- (/ 1 (exp x)) 2))) (- (/ 1 (exp x)) 2))
(* (+ 1 (/ (exp x) (- (/ 1 (exp x)) 2))) (- (/ 1 (exp x)) 2))
(* (+ 1 (/ (exp x) (- (/ 1 (exp x)) 2))) (- (/ 1 (exp x)) 2))
(* (+ 1 (/ (exp x) (- (/ 1 (exp x)) 2))) (- (/ 1 (exp x)) 2))
(* (+ 1 (/ (exp x) (- (/ 1 (exp x)) 2))) (- (/ 1 (exp x)) 2))
(* (+ 1 (/ (exp x) (- (/ 1 (exp x)) 2))) (- (/ 1 (exp x)) 2))
(* (+ 1 (/ (exp x) (- (/ 1 (exp x)) 2))) (- (/ 1 (exp x)) 2))
(* (+ 1 (/ (exp x) (- (/ 1 (exp x)) 2))) (- (/ 1 (exp x)) 2))
-1
(- (* -1 (pow x 2)) 1)
(- (* (pow x 2) (- x 1)) 1)
(- (* (pow x 2) (- (* x (+ 1 (* -19/12 x))) 1)) 1)
(/ (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
(- x 1)
(- (* x (+ 1 (* -3/2 x))) 1)
(- (* x (+ 1 (* x (- (* 13/6 x) 3/2)))) 1)
(/ 1 (- (/ 1 (exp x)) 2))
(/ 1 (- (/ 1 (exp x)) 2))
(/ 1 (- (/ 1 (exp x)) 2))
(/ 1 (- (/ 1 (exp x)) 2))
(/ 1 (- (/ 1 (exp x)) 2))
(/ 1 (- (/ 1 (exp x)) 2))
(/ 1 (- (/ 1 (exp x)) 2))
(/ 1 (- (/ 1 (exp x)) 2))
(* -1 (pow x 2))
(* (pow x 2) (- x 1))
(* (pow x 2) (- (* x (+ 1 (* -19/12 x))) 1))
(* (pow x 2) (- (* x (+ 1 (* x (- (* 9/4 x) 19/12)))) 1))
(+ 1 (/ (exp x) (- (/ 1 (exp x)) 2)))
(+ 1 (/ (exp x) (- (/ 1 (exp x)) 2)))
(+ 1 (/ (exp x) (- (/ 1 (exp x)) 2)))
(+ 1 (/ (exp x) (- (/ 1 (exp x)) 2)))
(+ 1 (/ (exp x) (- (/ 1 (exp x)) 2)))
(+ 1 (/ (exp x) (- (/ 1 (exp x)) 2)))
(+ 1 (/ (exp x) (- (/ 1 (exp x)) 2)))
(+ 1 (/ (exp x) (- (/ 1 (exp x)) 2)))
(* 1/360 x)
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(* 1/20160 (pow x 3))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* 1/20160 (pow x 3))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))
(* 1/20160 (pow x 4))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* 1/20160 (pow x 4))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
1/12
(+ 1/12 (* 1/360 (pow x 2)))
(+ 1/12 (* 1/360 (pow x 2)))
(+ 1/12 (* 1/360 (pow x 2)))
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
-1
(- x 1)
(- (* x (+ 1 (* -3/2 x))) 1)
(- (* x (+ 1 (* x (- (* 13/6 x) 3/2)))) 1)
(/ 1 (- (/ 1 (exp x)) 2))
(/ 1 (- (/ 1 (exp x)) 2))
(/ 1 (- (/ 1 (exp x)) 2))
(/ 1 (- (/ 1 (exp x)) 2))
(/ 1 (- (/ 1 (exp x)) 2))
(/ 1 (- (/ 1 (exp x)) 2))
(/ 1 (- (/ 1 (exp x)) 2))
(/ 1 (- (/ 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))

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 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64))))))))))
(* 1/20160 (pow x 8))
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (.f64 x x))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/360 binary64) (.f64 x x)) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))
(* 1/20160 (pow x 8))
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (.f64 x x))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/360 binary64) (.f64 x x)) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
1
#s(literal 1 binary64)
(+ 1 (* 1/12 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))
(+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64))))))))
(* 1/20160 (pow x 6))
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(.f64 (+.f64 (/.f64 #s(literal 1/360 binary64) (.f64 x x)) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(+.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1/360 binary64) (.f64 x x)) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64))))
(* 1/20160 (pow x 6))
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(.f64 (+.f64 (/.f64 #s(literal 1/360 binary64) (.f64 x x)) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(+.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1/360 binary64) (.f64 x x)) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 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 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))
(* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))))
(* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))))
(* 1/20160 (pow x 6))
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(.f64 (+.f64 (/.f64 #s(literal 1/360 binary64) (.f64 x x)) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(.f64 (+.f64 (/.f64 #s(literal 1/360 binary64) (.f64 x x)) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64)))
(* 1/20160 (pow x 6))
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(.f64 (+.f64 (/.f64 #s(literal 1/360 binary64) (.f64 x x)) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(.f64 (+.f64 (/.f64 #s(literal 1/360 binary64) (.f64 x x)) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))))
(* 1/360 (pow x 6))
(*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (+.f64 (/.f64 #s(literal 1/12 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (+.f64 (/.f64 #s(literal 1/12 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* 1/360 (pow x 6))
(*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (+.f64 (/.f64 #s(literal 1/12 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (+.f64 (/.f64 #s(literal 1/12 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
1
#s(literal 1 binary64)
(+ 1 (* 1/12 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))
(+ 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 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 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))
(* 1/360 (pow x 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 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))
(* 1/360 (pow x 4))
(.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))
(* 1/360 (pow x 4))
(.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))
(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 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64))))))))))
(- (+ (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)))
2
#s(literal 2 binary64)
(+ 2 (pow x 2))
(+.f64 #s(literal 2 binary64) (*.f64 x x))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))))
(+ (exp x) (/ 1 (exp x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(+ (exp x) (/ 1 (exp x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(+ (exp x) (/ 1 (exp x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(+ (exp x) (/ 1 (exp x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(+ (exp x) (/ 1 (exp x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(+ (exp x) (/ 1 (exp x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(+ (exp x) (/ 1 (exp x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(+ (exp x) (/ 1 (exp x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64))))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))))))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 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 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64))))))))))
(* (+ 1 (/ (exp x) (- (/ 1 (exp x)) 2))) (- (/ 1 (exp x)) 2))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))))
(* (+ 1 (/ (exp x) (- (/ 1 (exp x)) 2))) (- (/ 1 (exp x)) 2))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))))
(* (+ 1 (/ (exp x) (- (/ 1 (exp x)) 2))) (- (/ 1 (exp x)) 2))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))))
(* (+ 1 (/ (exp x) (- (/ 1 (exp x)) 2))) (- (/ 1 (exp x)) 2))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))))
(* (+ 1 (/ (exp x) (- (/ 1 (exp x)) 2))) (- (/ 1 (exp x)) 2))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))))
(* (+ 1 (/ (exp x) (- (/ 1 (exp x)) 2))) (- (/ 1 (exp x)) 2))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))))
(* (+ 1 (/ (exp x) (- (/ 1 (exp x)) 2))) (- (/ 1 (exp x)) 2))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))))
(* (+ 1 (/ (exp x) (- (/ 1 (exp x)) 2))) (- (/ 1 (exp x)) 2))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))))
-1
#s(literal -1 binary64)
(- (* -1 (pow x 2)) 1)
(-.f64 #s(literal -1 binary64) (*.f64 x x))
(- (* (pow x 2) (- x 1)) 1)
(+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (+.f64 x #s(literal -1 binary64)))))
(- (* (pow x 2) (- (* x (+ 1 (* -19/12 x))) 1)) 1)
(+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -19/12 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)
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- (* x (+ 1 (* -3/2 x))) 1)
(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -3/2 binary64)))))
(- (* x (+ 1 (* x (- (* 13/6 x) 3/2)))) 1)
(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -3/2 binary64) (*.f64 x #s(literal 13/6 binary64)))))))
(/ 1 (- (/ 1 (exp x)) 2))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
(/ 1 (- (/ 1 (exp x)) 2))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
(/ 1 (- (/ 1 (exp x)) 2))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
(/ 1 (- (/ 1 (exp x)) 2))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
(/ 1 (- (/ 1 (exp x)) 2))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
(/ 1 (- (/ 1 (exp x)) 2))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
(/ 1 (- (/ 1 (exp x)) 2))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
(/ 1 (- (/ 1 (exp x)) 2))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(* (pow x 2) (- x 1))
(.f64 x (.f64 x (+.f64 x #s(literal -1 binary64))))
(* (pow x 2) (- (* x (+ 1 (* -19/12 x))) 1))
(.f64 (.f64 x x) (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -19/12 binary64))))))
(* (pow x 2) (- (* x (+ 1 (* x (- (* 9/4 x) 19/12)))) 1))
(.f64 x (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -19/12 binary64) (*.f64 x #s(literal 9/4 binary64)))))))))
(+ 1 (/ (exp x) (- (/ 1 (exp x)) 2)))
(+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64))))
(+ 1 (/ (exp x) (- (/ 1 (exp x)) 2)))
(+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64))))
(+ 1 (/ (exp x) (- (/ 1 (exp x)) 2)))
(+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64))))
(+ 1 (/ (exp x) (- (/ 1 (exp x)) 2)))
(+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64))))
(+ 1 (/ (exp x) (- (/ 1 (exp x)) 2)))
(+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64))))
(+ 1 (/ (exp x) (- (/ 1 (exp x)) 2)))
(+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64))))
(+ 1 (/ (exp x) (- (/ 1 (exp x)) 2)))
(+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64))))
(+ 1 (/ (exp x) (- (/ 1 (exp x)) 2)))
(+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64))))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (*.f64 x x) #s(literal 1/20160 binary64))))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (*.f64 x x) #s(literal 1/20160 binary64))))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (*.f64 x x) #s(literal 1/20160 binary64))))
(* 1/20160 (pow x 3))
(.f64 #s(literal 1/20160 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (*.f64 x x) #s(literal 1/20160 binary64))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (*.f64 x x) #s(literal 1/20160 binary64))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (*.f64 x x) #s(literal 1/20160 binary64))))
(* 1/20160 (pow x 3))
(.f64 #s(literal 1/20160 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (*.f64 x x) #s(literal 1/20160 binary64))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (*.f64 x x) #s(literal 1/20160 binary64))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (*.f64 x x) #s(literal 1/20160 binary64))))
(* 1/360 (pow x 2))
(.f64 x (.f64 x #s(literal 1/360 binary64)))
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))
(* 1/20160 (pow x 4))
(.f64 x (.f64 #s(literal 1/20160 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 x (.f64 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 x (.f64 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 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))
(* 1/20160 (pow x 4))
(.f64 x (.f64 #s(literal 1/20160 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 x (.f64 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 x (.f64 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 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))
(* 1/20160 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/20160 binary64))
(* 1/360 (pow x 2))
(.f64 x (.f64 x #s(literal 1/360 binary64)))
(* 1/360 (pow x 2))
(.f64 x (.f64 x #s(literal 1/360 binary64)))
(* 1/360 (pow x 2))
(.f64 x (.f64 x #s(literal 1/360 binary64)))
(* 1/360 (pow x 2))
(.f64 x (.f64 x #s(literal 1/360 binary64)))
(* 1/360 (pow x 2))
(.f64 x (.f64 x #s(literal 1/360 binary64)))
(* 1/360 (pow x 2))
(.f64 x (.f64 x #s(literal 1/360 binary64)))
(* 1/360 (pow x 2))
(.f64 x (.f64 x #s(literal 1/360 binary64)))
(* 1/360 (pow x 2))
(.f64 x (.f64 x #s(literal 1/360 binary64)))
(* 1/360 (pow x 2))
(.f64 x (.f64 x #s(literal 1/360 binary64)))
(* 1/360 (pow x 2))
(.f64 x (.f64 x #s(literal 1/360 binary64)))
(* 1/360 (pow x 2))
(.f64 x (.f64 x #s(literal 1/360 binary64)))
(* 1/360 (pow x 2))
(.f64 x (.f64 x #s(literal 1/360 binary64)))
1/12
#s(literal 1/12 binary64)
(+ 1/12 (* 1/360 (pow x 2)))
(+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))
(+ 1/12 (* 1/360 (pow x 2)))
(+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))
(+ 1/12 (* 1/360 (pow x 2)))
(+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))
(* 1/360 (pow x 2))
(.f64 x (.f64 x #s(literal 1/360 binary64)))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))
(* 1/360 (pow x 2))
(.f64 x (.f64 x #s(literal 1/360 binary64)))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))
-1
#s(literal -1 binary64)
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- (* x (+ 1 (* -3/2 x))) 1)
(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -3/2 binary64)))))
(- (* x (+ 1 (* x (- (* 13/6 x) 3/2)))) 1)
(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -3/2 binary64) (*.f64 x #s(literal 13/6 binary64)))))))
(/ 1 (- (/ 1 (exp x)) 2))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
(/ 1 (- (/ 1 (exp x)) 2))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
(/ 1 (- (/ 1 (exp x)) 2))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
(/ 1 (- (/ 1 (exp x)) 2))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
(/ 1 (- (/ 1 (exp x)) 2))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
(/ 1 (- (/ 1 (exp x)) 2))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
(/ 1 (- (/ 1 (exp x)) 2))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
(/ 1 (- (/ 1 (exp x)) 2))
(/.f64 #s(literal 1 binary64) (+.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 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64)))))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))))
(/ 1 (exp x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/ 1 (exp x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/ 1 (exp x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/ 1 (exp x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/ 1 (exp x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/ 1 (exp x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/ 1 (exp x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/ 1 (exp x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))

eval141.0ms (1.1%)

Compiler: Compiled 30044 to 2624 computations (91.3% saved)

prune111.0ms (0.9%)

Pruning

24 alts after pruning (19 fresh and 5 done)

	Pruned	Kept	Total
New	1015	16	1031
Fresh	2	3	5
Picked	2	3	5
Done	0	2	2
Total	1019	24	1043

Accuracy

100.0%

Counts

1043 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.0%	(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)))
	49.1%	(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))) (-.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x))))
	49.3%	(/.f64 (+.f64 (.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))) #s(literal 1 binary64)) (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal -2 binary64)))))
	99.0%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal 1/360 binary64)))))))
	49.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))))))
▶	47.8%	(-.f64 (+.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))
✓	49.1%	(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
✓	49.3%	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
	99.0%	(+.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))
✓	49.3%	(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
▶	47.7%	(+.f64 (exp.f64 x) #s(literal -1 binary64))
	49.3%	(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))))
▶	99.0%	(.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)
▶	99.1%	(.f64 (.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)))))))))) x)
	99.1%	(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/46656000 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)))))))))
	99.1%	(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64))) (.f64 x x))))))
✓	99.0%	(.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))))))
	99.1%	(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (/.f64 (.f64 (-.f64 #s(literal 1/129600 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/406425600 binary64))) x) (-.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))))))
▶	99.1%	(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/20160 binary64))) (*.f64 x #s(literal 1/360 binary64))))))))
	98.8%	(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 #s(literal 1/20160 binary64) (.f64 x (.f64 x x))))))))
	98.8%	(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
	47.7%	(.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))
	47.3%	(.f64 (.f64 x x) (.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x x)))))
✓	98.2%	(*.f64 x x)

Compiler

Compiled 884 to 481 computations (45.6% saved)

simplify289.0ms (2.3%)

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

Rules

4282×	`+-lowering-+.f64`
4282×	`+-lowering-+.f32`
3438×	`--lowering--.f32`
3438×	`--lowering--.f64`
1944×	`-lowering-.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	36	307
1	131	267
2	395	263
3	1038	262
4	3141	262
5	4158	262
0	8906	262

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize567.0ms (4.5%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	10.6%	(+.f64 (exp.f64 x) #s(literal -1 binary64))
✓	accuracy	99.8%	(.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))))))))
✓	accuracy	99.8%	(.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))
✓	accuracy	99.6%	(.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (*.f64 x x) #s(literal 1/20160 binary64))))
✓	accuracy	99.5%	(.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)))))))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal 1/360 binary64)))))))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 1/360 binary64)))
✓	accuracy	99.7%	(.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 #s(literal 2 binary64) (*.f64 x x))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	49.1%	(-.f64 (+.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))
✓	accuracy	99.8%	(.f64 x (.f64 (*.f64 x x) #s(literal 1/20160 binary64)))
✓	accuracy	99.8%	(.f64 x (+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/20160 binary64))) (*.f64 x #s(literal 1/360 binary64))))
✓	accuracy	99.7%	(.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/20160 binary64))) (*.f64 x #s(literal 1/360 binary64))))))
✓	accuracy	99.6%	(*.f64 x #s(literal 1/360 binary64))

Results

438.0ms	251×	1	valid
2.0ms	5×	0	valid

Compiler

Compiled 380 to 37 computations (90.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 191.0ms

ival-add: 63.0ms (32.9% of total)

ival-mult: 57.0ms (29.8% of total)

...c/correct-round.rkt:119:19: 30.0ms (15.7% of total)

backward-pass: 27.0ms (14.1% of total)

ival-exp: 11.0ms (5.8% of total)

ival-sub: 3.0ms (1.6% of total)

const: 1.0ms (0.5% of total)

series9.0ms (0.1%)

Counts

24 → 288

Calls

Call 1

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

Outputs
#<alt (* 1/360 x)>
#<alt (* x (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* x (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* x (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (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 (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) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/12 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* 1/360 (pow x 5))>
#<alt (* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/360 (pow x 5))>
#<alt (* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))>
#<alt 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 (* 1/20160 (pow x 8))>
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/20160 (pow x 8))>
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt x>
#<alt (* x (+ 1 (* 1/12 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt (* 1/20160 (pow x 7))>
#<alt (* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/20160 (pow x 7))>
#<alt (* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))>
#<alt 1>
#<alt (+ 1 (* 1/12 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))>
#<alt (* 1/20160 (pow x 6))>
#<alt (* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/20160 (pow x 6))>
#<alt (* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/12 (pow x 2))>
#<alt (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))>
#<alt (* 1/20160 (pow x 6))>
#<alt (* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* 1/20160 (pow x 6))>
#<alt (* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 x)))>
#<alt (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))>
#<alt (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/12 (pow x 2))>
#<alt (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))>
#<alt (* 1/20160 (pow x 6))>
#<alt (* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* 1/20160 (pow x 6))>
#<alt (* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* 1/360 (pow x 2))>
#<alt (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/12 x)>
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* x (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))>
#<alt (* x (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))>
#<alt (* 1/20160 (pow x 5))>
#<alt (* (pow x 5) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* 1/20160 (pow x 5))>
#<alt (* (pow x 5) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))>
#<alt (* 1/360 x)>
#<alt (* x (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* x (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* x (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* 1/360 (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)))))>

Calls

72 calls:

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

rewrite327.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

2800×	`fma-lowering-fma.f32`
2800×	`fma-lowering-fma.f64`
2532×	`-lowering-.f32`
2532×	`-lowering-.f64`
1940×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	242
1	267	206
2	2161	202
0	8103	202

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 634

Calls

Call 1

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

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

simplify295.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

3718×	`-lowering-.f32`
3718×	`-lowering-.f64`
2290×	`+-lowering-+.f64`
2290×	`+-lowering-+.f32`
1570×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	131	2538
1	473	2115
2	1444	2082
3	4413	2048
0	8210	2048

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

Inputs
(* 1/360 x)
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(* 1/20160 (pow x 3))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* 1/20160 (pow x 3))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(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))))))
(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) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* 1/360 (pow x 5))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/360 (pow x 5))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))
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))))))))
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(* 1/20160 (pow x 7))
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/20160 (pow x 7))
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
1
(+ 1 (* 1/12 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))
(* 1/20160 (pow x 6))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/20160 (pow x 6))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(* 1/20160 (pow x 6))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* 1/20160 (pow x 6))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(* 1/20160 (pow x 6))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* 1/20160 (pow x 6))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))
(* 1/20160 (pow x 4))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* 1/20160 (pow x 4))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* 1/20160 (pow x 3))
(* 1/20160 (pow x 3))
(* 1/20160 (pow x 3))
(* 1/20160 (pow x 3))
(* 1/20160 (pow x 3))
(* 1/20160 (pow x 3))
(* 1/20160 (pow x 3))
(* 1/20160 (pow x 3))
(* 1/20160 (pow x 3))
(* 1/20160 (pow x 3))
(* 1/20160 (pow x 3))
(* 1/20160 (pow x 3))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/12 x)
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* x (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(* x (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(* 1/20160 (pow x 5))
(* (pow x 5) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 5) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* 1/20160 (pow x 5))
(* (pow x 5) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))
(* 1/360 x)
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(* 1/20160 (pow x 3))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* 1/20160 (pow x 3))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* 1/360 (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)))))

Outputs
(* 1/360 x)
(*.f64 #s(literal 1/360 binary64) x)
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (*.f64 x #s(literal 1/20160 binary64)))))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (*.f64 x #s(literal 1/20160 binary64)))))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (*.f64 x #s(literal 1/20160 binary64)))))
(* 1/20160 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/20160 binary64))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (*.f64 x #s(literal 1/20160 binary64)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (*.f64 x #s(literal 1/20160 binary64)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (*.f64 x #s(literal 1/20160 binary64)))))
(* 1/20160 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/20160 binary64))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (*.f64 x #s(literal 1/20160 binary64)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (*.f64 x #s(literal 1/20160 binary64)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (*.f64 x #s(literal 1/20160 binary64)))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/12 binary64))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/360 binary64) (.f64 x x))))))
(* (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))))))))))
(* 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 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (.f64 x x))) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (-.f64 #s(literal 1/20160 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 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1/20160 binary64) (+.f64 (/.f64 #s(literal 1/360 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 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 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (.f64 x x))) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (-.f64 #s(literal 1/20160 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 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1/20160 binary64) (+.f64 (/.f64 #s(literal 1/360 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
1
#s(literal 1 binary64)
(+ 1 (* 1/12 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/12 binary64))))
(+ 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 #s(literal 1/360 binary64) (.f64 x x)))))
(+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64)))))))))
(* 1/20160 (pow x 6))
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(.f64 (+.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (.f64 x x))) (/.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(+.f64 #s(literal 1 binary64) (.f64 (+.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (.f64 x x))) (/.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64))))
(* 1/20160 (pow x 6))
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(.f64 (+.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (.f64 x x))) (/.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(+.f64 #s(literal 1 binary64) (.f64 (+.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (.f64 x x))) (/.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64))))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
2
#s(literal 2 binary64)
(+ 2 (pow x 2))
(+.f64 #s(literal 2 binary64) (*.f64 x x))
(+ 2 (pow x 2))
(+.f64 #s(literal 2 binary64) (*.f64 x x))
(+ 2 (pow x 2))
(+.f64 #s(literal 2 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 2 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 2 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/12 binary64))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/360 binary64) (.f64 x x))))))
(* (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 #s(literal 1/360 binary64) (.f64 x x))))))
(* 1/360 (pow x 6))
(*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* 1/360 (pow x 6))
(*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/12 binary64)))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/360 binary64) (*.f64 x x))))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/360 binary64) (*.f64 x x))))))
(* 1/360 (pow x 5))
(.f64 #s(literal 1/360 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) x))
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 (+.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 (+.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))
(* 1/360 (pow x 5))
(.f64 #s(literal 1/360 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) x))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (-.f64 #s(literal 1/360 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal -1/12 binary64)) (*.f64 x x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (-.f64 #s(literal 1/360 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal -1/12 binary64)) (*.f64 x x))))
1
#s(literal 1 binary64)
(+ 1 (* 1/12 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/12 binary64))))
(+ 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 #s(literal 1/360 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 #s(literal 1/360 binary64) (.f64 x x)))))
(* 1/360 (pow x 4))
(.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/360 binary64) (.f64 x x))))
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/360 binary64) (.f64 x x)))))
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/360 binary64) (.f64 x x)))))
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(.f64 x (.f64 x (*.f64 x #s(literal 1/20160 binary64))))
(* 1/20160 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/20160 binary64))))
(* 1/20160 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/20160 binary64))))
(* 1/20160 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/20160 binary64))))
(* 1/20160 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/20160 binary64))))
(* 1/20160 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/20160 binary64))))
(* 1/20160 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/20160 binary64))))
(* 1/20160 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/20160 binary64))))
(* 1/20160 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/20160 binary64))))
(* 1/360 (pow x 2))
(.f64 #s(literal 1/360 binary64) (.f64 x x))
(* 1/360 (pow x 2))
(.f64 #s(literal 1/360 binary64) (.f64 x x))
(* 1/360 (pow x 2))
(.f64 #s(literal 1/360 binary64) (.f64 x x))
(* 1/360 (pow x 2))
(.f64 #s(literal 1/360 binary64) (.f64 x x))
(* 1/360 (pow x 2))
(.f64 #s(literal 1/360 binary64) (.f64 x x))
(* 1/360 (pow x 2))
(.f64 #s(literal 1/360 binary64) (.f64 x x))
(* 1/360 (pow x 2))
(.f64 #s(literal 1/360 binary64) (.f64 x x))
(* 1/360 (pow x 2))
(.f64 #s(literal 1/360 binary64) (.f64 x x))
(* 1/360 (pow x 2))
(.f64 #s(literal 1/360 binary64) (.f64 x x))
(* 1/360 (pow x 2))
(.f64 #s(literal 1/360 binary64) (.f64 x x))
(* 1/360 (pow x 2))
(.f64 #s(literal 1/360 binary64) (.f64 x x))
(* 1/360 (pow x 2))
(.f64 #s(literal 1/360 binary64) (.f64 x x))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/360 binary64) (*.f64 x x))))
(* x (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (*.f64 x #s(literal 1/20160 binary64))))))))
(* x (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (*.f64 x #s(literal 1/20160 binary64))))))))
(* 1/20160 (pow x 5))
(.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/20160 binary64))))))
(* (pow x 5) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (*.f64 x #s(literal 1/20160 binary64))))))
(* (pow x 5) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(.f64 (+.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (.f64 x x))) (/.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))
(* (pow x 5) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(.f64 (+.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (.f64 x x))) (/.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))
(* 1/20160 (pow x 5))
(.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/20160 binary64))))))
(* (pow x 5) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (*.f64 x #s(literal 1/20160 binary64))))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 #s(literal 1/20160 binary64) (/.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x))) (*.f64 x x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 #s(literal 1/20160 binary64) (/.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x))) (*.f64 x x))))
(* 1/360 x)
(*.f64 #s(literal 1/360 binary64) x)
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (*.f64 x #s(literal 1/20160 binary64)))))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (*.f64 x #s(literal 1/20160 binary64)))))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (*.f64 x #s(literal 1/20160 binary64)))))
(* 1/20160 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/20160 binary64))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (*.f64 x #s(literal 1/20160 binary64)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (*.f64 x #s(literal 1/20160 binary64)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (*.f64 x #s(literal 1/20160 binary64)))))
(* 1/20160 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/20160 binary64))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (*.f64 x #s(literal 1/20160 binary64)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (*.f64 x #s(literal 1/20160 binary64)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (*.f64 x #s(literal 1/20160 binary64)))))
(* 1/360 (pow x 2))
(.f64 #s(literal 1/360 binary64) (.f64 x x))
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))
(* 1/20160 (pow x 4))
(.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/20160 binary64)))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))
(* 1/20160 (pow x 4))
(.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/20160 binary64)))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))

eval147.0ms (1.2%)

Compiler: Compiled 33987 to 2731 computations (92% saved)

prune138.0ms (1.1%)

Pruning

29 alts after pruning (22 fresh and 7 done)

	Pruned	Kept	Total
New	1021	15	1036
Fresh	7	7	14
Picked	2	3	5
Done	1	4	5
Total	1031	29	1060

Accuracy

100.0%

Counts

1060 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.0%	(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)))
	34.2%	(/.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))))))) (.f64 x (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))))))))) (-.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))))))))))
	49.1%	(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))) (-.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x))))
	49.3%	(/.f64 (+.f64 (.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))) #s(literal 1 binary64)) (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal -2 binary64)))))
	49.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))))))
✓	47.8%	(-.f64 (+.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))
✓	49.1%	(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
✓	49.3%	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
✓	49.3%	(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
✓	47.7%	(+.f64 (exp.f64 x) #s(literal -1 binary64))
	49.3%	(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))))
	99.0%	(.f64 (+.f64 (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))))) x) x)
	99.1%	(.f64 (+.f64 (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))))))) x) x)
✓	99.0%	(.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)
	30.8%	(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 #s(literal 1/20160 binary64) (/.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x))) (.f64 x x))))))) x)
	98.3%	(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))))) x)
	31.9%	(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/8193540096000 binary64))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/46656000 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) (.f64 (.f64 x x) #s(literal 1/129600 binary64))) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/20160 binary64)))) (.f64 (.f64 x x) #s(literal 1/360 binary64))))))))))) x)
▶	99.1%	(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/406425600 binary64)))) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal -1/20160 binary64) (.f64 x x))))))))) x)
	99.1%	(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/46656000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.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)))))))))) x)
▶	98.3%	(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/20160 binary64))))))))) x)
	47.3%	(.f64 (.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (.f64 x x))))) x)
	99.1%	(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/46656000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.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)))))))))
	99.1%	(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) (.f64 x x))))))
▶	99.1%	(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/20160 binary64)) (*.f64 x #s(literal 1/360 binary64))))))))
	98.8%	(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
	47.7%	(.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))
✓	98.2%	(*.f64 x x)
▶	7.7%	(expm1.f64 x)
▶	7.3%	x

Compiler

Compiled 1305 to 652 computations (50% saved)

simplify212.0ms (1.7%)

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(expm1.f64 x)
✓	cost-diff	0	(.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/406425600 binary64)))) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal -1/20160 binary64) (.f64 x x)))))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/406425600 binary64)))) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal -1/20160 binary64) (.f64 x x))))))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/406425600 binary64)))) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal -1/20160 binary64) (*.f64 x x)))))))))
✓	cost-diff	0	(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/406425600 binary64)))) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal -1/20160 binary64) (.f64 x x))))))))) x)
✓	cost-diff	0	(.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/20160 binary64)))))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/20160 binary64))))))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))))
✓	cost-diff	0	(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/20160 binary64))))))))) x)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/20160 binary64)) (*.f64 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 x (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/20160 binary64)) (*.f64 x #s(literal 1/360 binary64))))))))
✓	cost-diff	128	(+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/20160 binary64)) (.f64 x #s(literal 1/360 binary64)))

Rules

3606×	`-lowering-.f32`
3606×	`-lowering-.f64`
2010×	`sum3-define`
1548×	`fma-define`
1522×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	42	412
1	145	351
2	439	332
3	1440	314
4	3392	314
5	5297	314
6	7743	314
0	8266	314

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

Outputs
(* (* x x) (+ 1 (* (* x x) (+ 1/12 (* x (+ (* (* x (* x x)) 1/20160) (* x 1/360)))))))
(.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)))))))))
(* x x)
(*.f64 x x)
x
(+ 1 (* (* x x) (+ 1/12 (* x (+ (* (* x (* x x)) 1/20160) (* x 1/360))))))
(+.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))))))))
1
#s(literal 1 binary64)
(* (* x x) (+ 1/12 (* x (+ (* (* x (* x x)) 1/20160) (* x 1/360)))))
(.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)))))))
(+ 1/12 (* x (+ (* (* x (* x x)) 1/20160) (* x 1/360))))
(+.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))))))
1/12
#s(literal 1/12 binary64)
(* x (+ (* (* x (* x x)) 1/20160) (* x 1/360)))
(.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64)))))
(+ (* (* x (* x x)) 1/20160) (* x 1/360))
(.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (*.f64 x #s(literal 1/20160 binary64)))))
(* (* x (* x x)) 1/20160)
(.f64 x (.f64 x (*.f64 x #s(literal 1/20160 binary64))))
(* x (* x x))
(.f64 x (.f64 x x))
1/20160
#s(literal 1/20160 binary64)
(* x 1/360)
(*.f64 x #s(literal 1/360 binary64))
1/360
#s(literal 1/360 binary64)
x
(* (* x (+ 1 (* x (* x (* x (* x (* x (* x 1/20160)))))))) x)
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x #s(literal 1/20160 binary64))))))))
(* x (+ 1 (* x (* x (* x (* x (* x (* x 1/20160))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))
x
(+ 1 (* x (* x (* x (* x (* x (* x 1/20160)))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x #s(literal 1/20160 binary64))))))
1
#s(literal 1 binary64)
(* x (* x (* x (* x (* x (* x 1/20160))))))
(.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x #s(literal 1/20160 binary64)))))
(* x (* x (* x (* x (* x 1/20160)))))
(.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x #s(literal 1/20160 binary64)))))
(* x (* x (* x (* x 1/20160))))
(.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/20160 binary64))))
(* x (* x (* x 1/20160)))
(.f64 x (.f64 x (*.f64 x #s(literal 1/20160 binary64))))
(* x (* x 1/20160))
(.f64 x (.f64 x #s(literal 1/20160 binary64)))
(* x 1/20160)
(*.f64 x #s(literal 1/20160 binary64))
1/20160
#s(literal 1/20160 binary64)
(* (* x (+ 1 (* x (* x (+ 1/12 (/ (* (* x x) (- 1/129600 (* (* x (* x (* x x))) 1/406425600))) (+ 1/360 (* -1/20160 (* x x))))))))) x)
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 (+.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/406425600 binary64))) (/.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal -1/20160 binary64))))))))))
(* x (+ 1 (* x (* x (+ 1/12 (/ (* (* x x) (- 1/129600 (* (* x (* x (* x x))) 1/406425600))) (+ 1/360 (* -1/20160 (* x x)))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 (+.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/406425600 binary64))) (/.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (*.f64 x x) #s(literal -1/20160 binary64))))))))))
x
(+ 1 (* x (* x (+ 1/12 (/ (* (* x x) (- 1/129600 (* (* x (* x (* x x))) 1/406425600))) (+ 1/360 (* -1/20160 (* x x))))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 (+.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/406425600 binary64))) (/.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) (- 1/129600 (* (* x (* x (* x x))) 1/406425600))) (+ 1/360 (* -1/20160 (* x x)))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 (+.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/406425600 binary64))) (/.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal -1/20160 binary64))))))))
(* x (+ 1/12 (/ (* (* x x) (- 1/129600 (* (* x (* x (* x x))) 1/406425600))) (+ 1/360 (* -1/20160 (* x x))))))
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 (+.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/406425600 binary64))) (/.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (*.f64 x x) #s(literal -1/20160 binary64))))))))
(+ 1/12 (/ (* (* x x) (- 1/129600 (* (* x (* x (* x x))) 1/406425600))) (+ 1/360 (* -1/20160 (* x x)))))
(+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 (+.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/406425600 binary64))) (/.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) (- 1/129600 (* (* x (* x (* x x))) 1/406425600))) (+ 1/360 (* -1/20160 (* x x))))
(.f64 x (.f64 (+.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/406425600 binary64))) (/.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal -1/20160 binary64))))))
(* (* x x) (- 1/129600 (* (* x (* x (* x x))) 1/406425600)))
(.f64 (.f64 x x) (+.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/406425600 binary64))))
(* x x)
(*.f64 x x)
(- 1/129600 (* (* x (* x (* x x))) 1/406425600))
(+.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/406425600 binary64)))
1/129600
#s(literal 1/129600 binary64)
(* (* x (* x (* x x))) 1/406425600)
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/406425600 binary64))
(* x (* x (* x x)))
(.f64 x (.f64 x (*.f64 x x)))
(* x (* x x))
(.f64 x (.f64 x x))
1/406425600
#s(literal 1/406425600 binary64)
(+ 1/360 (* -1/20160 (* x x)))
(+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal -1/20160 binary64)))
1/360
#s(literal 1/360 binary64)
(* -1/20160 (* x x))
(.f64 (.f64 x x) #s(literal -1/20160 binary64))
-1/20160
#s(literal -1/20160 binary64)
(- (exp x) 1)
(expm1.f64 x)
x

localize894.0ms (7.2%)

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(expm1.f64 x)
✓	accuracy	100.0%	(.f64 x (.f64 x x))
✓	accuracy	100.0%	(.f64 (.f64 x x) (-.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/406425600 binary64))))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/406425600 binary64)))) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal -1/20160 binary64) (*.f64 x x)))))))))
✓	accuracy	100.0%	(.f64 x (.f64 x (*.f64 x x)))
✓	accuracy	100.0%	(.f64 x (.f64 x (.f64 x (.f64 x (.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 x (.f64 x (.f64 x (.f64 x #s(literal 1/20160 binary64)))))
✓	accuracy	100.0%	(.f64 x (.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 (.f64 (.f64 x (.f64 x x)) #s(literal 1/20160 binary64)) (*.f64 x #s(literal 1/360 binary64))))))))
✓	accuracy	100.0%	(.f64 x (.f64 x x))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/360 binary64))
✓	accuracy	100.0%	(.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/20160 binary64)) (*.f64 x #s(literal 1/360 binary64))))))

Results

800.0ms	246×	5	exit
5.0ms	9×	0	valid
1.0ms	1×	1	valid

Compiler

Compiled 507 to 42 computations (91.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 290.0ms

backward-pass: 127.0ms (43.8% of total)

ival-mult: 82.0ms (28.3% of total)

...c/correct-round.rkt:119:19: 47.0ms (16.2% of total)

ival-add: 17.0ms (5.9% of total)

ival-div: 5.0ms (1.7% of total)

compiled-spec: 5.0ms (1.7% of total)

ival-sub: 4.0ms (1.4% of total)

ival-exp: 3.0ms (1% of total)

const: 1.0ms (0.3% of total)

series12.0ms (0.1%)

Counts

21 → 252

Calls

Call 1

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

Outputs
#<alt (* 1/360 x)>
#<alt (* x (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* x (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* x (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (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 (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/20160 (pow x 6))))>
#<alt (* (pow x 2) (+ 1 (* 1/20160 (pow x 6))))>
#<alt (* (pow x 2) (+ 1 (* 1/20160 (pow x 6))))>
#<alt (* 1/20160 (pow x 8))>
#<alt (* (pow x 8) (+ 1/20160 (/ 1 (pow x 6))))>
#<alt (* (pow x 8) (+ 1/20160 (/ 1 (pow x 6))))>
#<alt (* (pow x 8) (+ 1/20160 (/ 1 (pow x 6))))>
#<alt (* 1/20160 (pow x 8))>
#<alt (* (pow x 8) (+ 1/20160 (/ 1 (pow x 6))))>
#<alt (* (pow x 8) (+ 1/20160 (/ 1 (pow x 6))))>
#<alt (* (pow x 8) (+ 1/20160 (/ 1 (pow x 6))))>
#<alt x>
#<alt (* x (+ 1 (* 1/20160 (pow x 6))))>
#<alt (* x (+ 1 (* 1/20160 (pow x 6))))>
#<alt (* x (+ 1 (* 1/20160 (pow x 6))))>
#<alt (* 1/20160 (pow x 7))>
#<alt (* (pow x 7) (+ 1/20160 (/ 1 (pow x 6))))>
#<alt (* (pow x 7) (+ 1/20160 (/ 1 (pow x 6))))>
#<alt (* (pow x 7) (+ 1/20160 (/ 1 (pow x 6))))>
#<alt (* 1/20160 (pow x 7))>
#<alt (* (pow x 7) (+ 1/20160 (/ 1 (pow x 6))))>
#<alt (* (pow x 7) (+ 1/20160 (/ 1 (pow x 6))))>
#<alt (* (pow x 7) (+ 1/20160 (/ 1 (pow x 6))))>
#<alt 1>
#<alt (+ 1 (* 1/20160 (pow x 6)))>
#<alt (+ 1 (* 1/20160 (pow x 6)))>
#<alt (+ 1 (* 1/20160 (pow x 6)))>
#<alt (* 1/20160 (pow x 6))>
#<alt (* (pow x 6) (+ 1/20160 (/ 1 (pow x 6))))>
#<alt (* (pow x 6) (+ 1/20160 (/ 1 (pow x 6))))>
#<alt (* (pow x 6) (+ 1/20160 (/ 1 (pow x 6))))>
#<alt (* 1/20160 (pow x 6))>
#<alt (* (pow x 6) (+ 1/20160 (/ 1 (pow x 6))))>
#<alt (* (pow x 6) (+ 1/20160 (/ 1 (pow x 6))))>
#<alt (* (pow x 6) (+ 1/20160 (/ 1 (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 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 x>
#<alt (* x (+ 1 (* 1/12 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt (* 1/20160 (pow x 7))>
#<alt (* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/20160 (pow x 7))>
#<alt (* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))>
#<alt 1>
#<alt (+ 1 (* 1/12 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))>
#<alt (* 1/20160 (pow x 6))>
#<alt (* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/20160 (pow x 6))>
#<alt (* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/12 (pow x 2))>
#<alt (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))>
#<alt (* 1/20160 (pow x 6))>
#<alt (* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* 1/20160 (pow x 6))>
#<alt (* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt 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 (* 1/12 (pow x 2))>
#<alt (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))>
#<alt (* 1/20160 (pow x 6))>
#<alt (* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* 1/20160 (pow x 6))>
#<alt (* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* 1/360 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 (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (* 1/20160 (pow x 3))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* 1/20160 (pow x 4))>
#<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 (* 1/129600 (pow x 2))>
#<alt (* (pow x 2) (+ 1/129600 (* -1/406425600 (pow x 4))))>
#<alt (* (pow x 2) (+ 1/129600 (* -1/406425600 (pow x 4))))>
#<alt (* (pow x 2) (+ 1/129600 (* -1/406425600 (pow x 4))))>
#<alt (* -1/406425600 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/129600 (/ 1 (pow x 4))) 1/406425600))>
#<alt (* (pow x 6) (- (* 1/129600 (/ 1 (pow x 4))) 1/406425600))>
#<alt (* (pow x 6) (- (* 1/129600 (/ 1 (pow x 4))) 1/406425600))>
#<alt (* -1/406425600 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/129600 (/ 1 (pow x 4))) 1/406425600))>
#<alt (* (pow x 6) (- (* 1/129600 (/ 1 (pow x 4))) 1/406425600))>
#<alt (* (pow x 6) (- (* 1/129600 (/ 1 (pow x 4))) 1/406425600))>

Calls

63 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(* (* x (+ 1 (* x (* x (* x (* x (* x (* x 1/20160)))))))) x)
1.0ms	x	@	inf	(* (* x (+ 1 (* x (* x (* x (* x (* x (* x 1/20160)))))))) x)
0.0ms	x	@	inf	(* (* x (+ 1 (* x (* x (+ 1/12 (/ (* (* x x) (- 1/129600 (* (* x (* x (* x x))) 1/406425600))) (+ 1/360 (* -1/20160 (* x x))))))))) x)
0.0ms	x	@	inf	(* (* x x) (- 1/129600 (* (* x (* x (* x x))) 1/406425600)))
0.0ms	x	@	inf	(* x (* x (+ 1/12 (/ (* (* x x) (- 1/129600 (* (* x (* x (* x x))) 1/406425600))) (+ 1/360 (* -1/20160 (* x x)))))))

rewrite341.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

3842×	`-lowering-.f32`
3842×	`-lowering-.f64`
2960×	`/-lowering-/.f32`
2960×	`/-lowering-/.f64`
1860×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	42	253
1	259	189
2	2424	179
0	8776	179

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 469

Calls

Call 1

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

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

simplify225.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

2978×	`-lowering-.f32`
2978×	`-lowering-.f64`
2026×	`+-lowering-+.f64`
2026×	`+-lowering-+.f32`
1536×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	115	2008
1	400	1741
2	1186	1691
3	3486	1678
4	6351	1678
0	8278	1678

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

Calls

Call 1

Inputs
(* 1/360 x)
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(* 1/20160 (pow x 3))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* 1/20160 (pow x 3))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(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))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/20160 (pow x 6))))
(* (pow x 2) (+ 1 (* 1/20160 (pow x 6))))
(* (pow x 2) (+ 1 (* 1/20160 (pow x 6))))
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (/ 1 (pow x 6))))
(* (pow x 8) (+ 1/20160 (/ 1 (pow x 6))))
(* (pow x 8) (+ 1/20160 (/ 1 (pow x 6))))
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (/ 1 (pow x 6))))
(* (pow x 8) (+ 1/20160 (/ 1 (pow x 6))))
(* (pow x 8) (+ 1/20160 (/ 1 (pow x 6))))
x
(* x (+ 1 (* 1/20160 (pow x 6))))
(* x (+ 1 (* 1/20160 (pow x 6))))
(* x (+ 1 (* 1/20160 (pow x 6))))
(* 1/20160 (pow x 7))
(* (pow x 7) (+ 1/20160 (/ 1 (pow x 6))))
(* (pow x 7) (+ 1/20160 (/ 1 (pow x 6))))
(* (pow x 7) (+ 1/20160 (/ 1 (pow x 6))))
(* 1/20160 (pow x 7))
(* (pow x 7) (+ 1/20160 (/ 1 (pow x 6))))
(* (pow x 7) (+ 1/20160 (/ 1 (pow x 6))))
(* (pow x 7) (+ 1/20160 (/ 1 (pow x 6))))
1
(+ 1 (* 1/20160 (pow x 6)))
(+ 1 (* 1/20160 (pow x 6)))
(+ 1 (* 1/20160 (pow x 6)))
(* 1/20160 (pow x 6))
(* (pow x 6) (+ 1/20160 (/ 1 (pow x 6))))
(* (pow x 6) (+ 1/20160 (/ 1 (pow x 6))))
(* (pow x 6) (+ 1/20160 (/ 1 (pow x 6))))
(* 1/20160 (pow x 6))
(* (pow x 6) (+ 1/20160 (/ 1 (pow x 6))))
(* (pow x 6) (+ 1/20160 (/ 1 (pow x 6))))
(* (pow x 6) (+ 1/20160 (/ 1 (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 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))))))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(* 1/20160 (pow x 7))
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/20160 (pow x 7))
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
1
(+ 1 (* 1/12 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))
(* 1/20160 (pow x 6))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/20160 (pow x 6))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(* 1/20160 (pow x 6))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* 1/20160 (pow x 6))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
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)
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(* 1/20160 (pow x 6))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* 1/20160 (pow x 6))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* 1/360 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)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* 1/20160 (pow x 3))
(* 1/20160 (pow x 3))
(* 1/20160 (pow x 3))
(* 1/20160 (pow x 3))
(* 1/20160 (pow x 3))
(* 1/20160 (pow x 3))
(* 1/20160 (pow x 3))
(* 1/20160 (pow x 3))
(* 1/20160 (pow x 3))
(* 1/20160 (pow x 3))
(* 1/20160 (pow x 3))
(* 1/20160 (pow x 3))
(* 1/20160 (pow x 4))
(* 1/20160 (pow x 4))
(* 1/20160 (pow x 4))
(* 1/20160 (pow x 4))
(* 1/20160 (pow x 4))
(* 1/20160 (pow x 4))
(* 1/20160 (pow x 4))
(* 1/20160 (pow x 4))
(* 1/20160 (pow x 4))
(* 1/20160 (pow x 4))
(* 1/20160 (pow x 4))
(* 1/20160 (pow x 4))
(* 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)
(* 1/129600 (pow x 2))
(* (pow x 2) (+ 1/129600 (* -1/406425600 (pow x 4))))
(* (pow x 2) (+ 1/129600 (* -1/406425600 (pow x 4))))
(* (pow x 2) (+ 1/129600 (* -1/406425600 (pow x 4))))
(* -1/406425600 (pow x 6))
(* (pow x 6) (- (* 1/129600 (/ 1 (pow x 4))) 1/406425600))
(* (pow x 6) (- (* 1/129600 (/ 1 (pow x 4))) 1/406425600))
(* (pow x 6) (- (* 1/129600 (/ 1 (pow x 4))) 1/406425600))
(* -1/406425600 (pow x 6))
(* (pow x 6) (- (* 1/129600 (/ 1 (pow x 4))) 1/406425600))
(* (pow x 6) (- (* 1/129600 (/ 1 (pow x 4))) 1/406425600))
(* (pow x 6) (- (* 1/129600 (/ 1 (pow x 4))) 1/406425600))

Outputs
(* 1/360 x)
(*.f64 #s(literal 1/360 binary64) x)
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (*.f64 x #s(literal 1/20160 binary64)))))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (*.f64 x #s(literal 1/20160 binary64)))))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (*.f64 x #s(literal 1/20160 binary64)))))
(* 1/20160 (pow x 3))
(.f64 #s(literal 1/20160 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (*.f64 x #s(literal 1/20160 binary64)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (*.f64 x #s(literal 1/20160 binary64)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (*.f64 x #s(literal 1/20160 binary64)))))
(* 1/20160 (pow x 3))
(.f64 #s(literal 1/20160 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (*.f64 x #s(literal 1/20160 binary64)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (*.f64 x #s(literal 1/20160 binary64)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (*.f64 x #s(literal 1/20160 binary64)))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/360 binary64) (.f64 x x))))))
(* (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))))))))))
(* 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 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (.f64 x x))) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 #s(literal 1/20160 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 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.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))))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 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 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (.f64 x x))) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 #s(literal 1/20160 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 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.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))))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
1
#s(literal 1 binary64)
(+ 1 (* 1/12 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/360 binary64) (.f64 x x)))))
(+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64)))))))))
(* 1/20160 (pow x 6))
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(.f64 (+.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (.f64 x x))) (/.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(+.f64 #s(literal 1 binary64) (.f64 (+.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (.f64 x x))) (/.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64))))
(* 1/20160 (pow x 6))
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(.f64 (+.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (.f64 x x))) (/.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(+.f64 #s(literal 1 binary64) (.f64 (+.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (.f64 x x))) (/.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/20160 (pow x 6))))
(.f64 x (+.f64 x (.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 7 binary64)))))
(* (pow x 2) (+ 1 (* 1/20160 (pow x 6))))
(.f64 x (+.f64 x (.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 7 binary64)))))
(* (pow x 2) (+ 1 (* 1/20160 (pow x 6))))
(.f64 x (+.f64 x (.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 7 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 (pow x 6))))
(.f64 x (+.f64 x (.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 7 binary64)))))
(* (pow x 8) (+ 1/20160 (/ 1 (pow x 6))))
(.f64 x (+.f64 x (.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 7 binary64)))))
(* (pow x 8) (+ 1/20160 (/ 1 (pow x 6))))
(.f64 x (+.f64 x (.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 7 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 (pow x 6))))
(.f64 x (+.f64 x (.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 7 binary64)))))
(* (pow x 8) (+ 1/20160 (/ 1 (pow x 6))))
(.f64 x (+.f64 x (.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 7 binary64)))))
(* (pow x 8) (+ 1/20160 (/ 1 (pow x 6))))
(.f64 x (+.f64 x (.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 7 binary64)))))
x
(* x (+ 1 (* 1/20160 (pow x 6))))
(+.f64 x (*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 7 binary64))))
(* x (+ 1 (* 1/20160 (pow x 6))))
(+.f64 x (*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 7 binary64))))
(* x (+ 1 (* 1/20160 (pow x 6))))
(+.f64 x (*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 7 binary64))))
(* 1/20160 (pow x 7))
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/20160 (/ 1 (pow x 6))))
(+.f64 x (*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 7 binary64))))
(* (pow x 7) (+ 1/20160 (/ 1 (pow x 6))))
(+.f64 x (*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 7 binary64))))
(* (pow x 7) (+ 1/20160 (/ 1 (pow x 6))))
(+.f64 x (*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 7 binary64))))
(* 1/20160 (pow x 7))
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/20160 (/ 1 (pow x 6))))
(+.f64 x (*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 7 binary64))))
(* (pow x 7) (+ 1/20160 (/ 1 (pow x 6))))
(+.f64 x (*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 7 binary64))))
(* (pow x 7) (+ 1/20160 (/ 1 (pow x 6))))
(+.f64 x (*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 7 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* 1/20160 (pow x 6)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 6 binary64))))
(+ 1 (* 1/20160 (pow x 6)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 6 binary64))))
(+ 1 (* 1/20160 (pow x 6)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 6 binary64))))
(* 1/20160 (pow x 6))
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/20160 (/ 1 (pow x 6))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 6 binary64))))
(* (pow x 6) (+ 1/20160 (/ 1 (pow x 6))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 6 binary64))))
(* (pow x 6) (+ 1/20160 (/ 1 (pow x 6))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 6 binary64))))
(* 1/20160 (pow x 6))
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/20160 (/ 1 (pow x 6))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 6 binary64))))
(* (pow x 6) (+ 1/20160 (/ 1 (pow x 6))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 6 binary64))))
(* (pow x 6) (+ 1/20160 (/ 1 (pow x 6))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 6 binary64))))
(* 1/20160 (pow x 6))
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 6 binary64)))
(* 1/20160 (pow x 6))
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 6 binary64)))
(* 1/20160 (pow x 6))
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 6 binary64)))
(* 1/20160 (pow x 6))
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 6 binary64)))
(* 1/20160 (pow x 6))
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 6 binary64)))
(* 1/20160 (pow x 6))
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 6 binary64)))
(* 1/20160 (pow x 6))
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 6 binary64)))
(* 1/20160 (pow x 6))
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 6 binary64)))
(* 1/20160 (pow x 6))
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 6 binary64)))
(* 1/20160 (pow x 6))
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 6 binary64)))
(* 1/20160 (pow x 6))
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 6 binary64)))
(* 1/20160 (pow x 6))
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 6 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/360 binary64) (.f64 x x))))))
(* (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))))))))))
(* 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 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (.f64 x x))) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 #s(literal 1/20160 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 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.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))))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 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 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (.f64 x x))) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 #s(literal 1/20160 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 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.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))))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/360 binary64) (*.f64 x x))))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (*.f64 x #s(literal 1/20160 binary64))))))))))
(* 1/20160 (pow x 7))
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(.f64 (+.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (.f64 x x))) (/.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(+.f64 x (.f64 (+.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.f64 x #s(literal 7 binary64))))
(* 1/20160 (pow x 7))
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/20160 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x))) x) x)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (.f64 x x))) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal -1/12 binary64)) (.f64 x (.f64 x (.f64 x x))))))
1
#s(literal 1 binary64)
(+ 1 (* 1/12 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/360 binary64) (.f64 x x)))))
(+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64)))))))))
(* 1/20160 (pow x 6))
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(.f64 (+.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (.f64 x x))) (/.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(+.f64 #s(literal 1 binary64) (.f64 (+.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (.f64 x x))) (/.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64))))
(* 1/20160 (pow x 6))
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(.f64 (+.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (.f64 x x))) (/.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(+.f64 #s(literal 1 binary64) (.f64 (+.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (.f64 x x))) (/.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 6 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 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/360 binary64) (.f64 x x))))
(* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))))
(* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))))
(* 1/20160 (pow x 6))
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(.f64 (+.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (.f64 x x))) (/.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(.f64 (+.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (.f64 x x))) (/.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64)))
(* 1/20160 (pow x 6))
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(.f64 (+.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (.f64 x x))) (/.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(.f64 (+.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (.f64 x x))) (/.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 6 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)
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/360 binary64) (.f64 x x))))
(* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))))
(* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))))
(* 1/20160 (pow x 6))
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(.f64 (+.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (.f64 x x))) (/.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(.f64 (+.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (.f64 x x))) (/.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64)))
(* 1/20160 (pow x 6))
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(.f64 (+.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (.f64 x x))) (/.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(.f64 (+.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (.f64 x x))) (/.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64)))
(* 1/360 x)
(*.f64 #s(literal 1/360 binary64) x)
(* 1/360 x)
(*.f64 #s(literal 1/360 binary64) x)
(* 1/360 x)
(*.f64 #s(literal 1/360 binary64) x)
(* 1/360 x)
(*.f64 #s(literal 1/360 binary64) x)
(* 1/360 x)
(*.f64 #s(literal 1/360 binary64) x)
(* 1/360 x)
(*.f64 #s(literal 1/360 binary64) x)
(* 1/360 x)
(*.f64 #s(literal 1/360 binary64) x)
(* 1/360 x)
(*.f64 #s(literal 1/360 binary64) x)
(* 1/360 x)
(*.f64 #s(literal 1/360 binary64) x)
(* 1/360 x)
(*.f64 #s(literal 1/360 binary64) x)
(* 1/360 x)
(*.f64 #s(literal 1/360 binary64) x)
(* 1/360 x)
(*.f64 #s(literal 1/360 binary64) 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))
(* 1/20160 (pow x 3))
(.f64 #s(literal 1/20160 binary64) (.f64 x (*.f64 x x)))
(* 1/20160 (pow x 3))
(.f64 #s(literal 1/20160 binary64) (.f64 x (*.f64 x x)))
(* 1/20160 (pow x 3))
(.f64 #s(literal 1/20160 binary64) (.f64 x (*.f64 x x)))
(* 1/20160 (pow x 3))
(.f64 #s(literal 1/20160 binary64) (.f64 x (*.f64 x x)))
(* 1/20160 (pow x 3))
(.f64 #s(literal 1/20160 binary64) (.f64 x (*.f64 x x)))
(* 1/20160 (pow x 3))
(.f64 #s(literal 1/20160 binary64) (.f64 x (*.f64 x x)))
(* 1/20160 (pow x 3))
(.f64 #s(literal 1/20160 binary64) (.f64 x (*.f64 x x)))
(* 1/20160 (pow x 3))
(.f64 #s(literal 1/20160 binary64) (.f64 x (*.f64 x x)))
(* 1/20160 (pow x 3))
(.f64 #s(literal 1/20160 binary64) (.f64 x (*.f64 x x)))
(* 1/20160 (pow x 3))
(.f64 #s(literal 1/20160 binary64) (.f64 x (*.f64 x x)))
(* 1/20160 (pow x 3))
(.f64 #s(literal 1/20160 binary64) (.f64 x (*.f64 x x)))
(* 1/20160 (pow x 3))
(.f64 #s(literal 1/20160 binary64) (.f64 x (*.f64 x x)))
(* 1/20160 (pow x 4))
(.f64 x (.f64 #s(literal 1/20160 binary64) (.f64 x (.f64 x x))))
(* 1/20160 (pow x 4))
(.f64 x (.f64 #s(literal 1/20160 binary64) (.f64 x (.f64 x x))))
(* 1/20160 (pow x 4))
(.f64 x (.f64 #s(literal 1/20160 binary64) (.f64 x (.f64 x x))))
(* 1/20160 (pow x 4))
(.f64 x (.f64 #s(literal 1/20160 binary64) (.f64 x (.f64 x x))))
(* 1/20160 (pow x 4))
(.f64 x (.f64 #s(literal 1/20160 binary64) (.f64 x (.f64 x x))))
(* 1/20160 (pow x 4))
(.f64 x (.f64 #s(literal 1/20160 binary64) (.f64 x (.f64 x x))))
(* 1/20160 (pow x 4))
(.f64 x (.f64 #s(literal 1/20160 binary64) (.f64 x (.f64 x x))))
(* 1/20160 (pow x 4))
(.f64 x (.f64 #s(literal 1/20160 binary64) (.f64 x (.f64 x x))))
(* 1/20160 (pow x 4))
(.f64 x (.f64 #s(literal 1/20160 binary64) (.f64 x (.f64 x x))))
(* 1/20160 (pow x 4))
(.f64 x (.f64 #s(literal 1/20160 binary64) (.f64 x (.f64 x x))))
(* 1/20160 (pow x 4))
(.f64 x (.f64 #s(literal 1/20160 binary64) (.f64 x (.f64 x x))))
(* 1/20160 (pow x 4))
(.f64 x (.f64 #s(literal 1/20160 binary64) (.f64 x (.f64 x x))))
(* 1/20160 (pow x 2))
(.f64 x (.f64 x #s(literal 1/20160 binary64)))
(* 1/20160 (pow x 2))
(.f64 x (.f64 x #s(literal 1/20160 binary64)))
(* 1/20160 (pow x 2))
(.f64 x (.f64 x #s(literal 1/20160 binary64)))
(* 1/20160 (pow x 2))
(.f64 x (.f64 x #s(literal 1/20160 binary64)))
(* 1/20160 (pow x 2))
(.f64 x (.f64 x #s(literal 1/20160 binary64)))
(* 1/20160 (pow x 2))
(.f64 x (.f64 x #s(literal 1/20160 binary64)))
(* 1/20160 (pow x 2))
(.f64 x (.f64 x #s(literal 1/20160 binary64)))
(* 1/20160 (pow x 2))
(.f64 x (.f64 x #s(literal 1/20160 binary64)))
(* 1/20160 (pow x 2))
(.f64 x (.f64 x #s(literal 1/20160 binary64)))
(* 1/20160 (pow x 2))
(.f64 x (.f64 x #s(literal 1/20160 binary64)))
(* 1/20160 (pow x 2))
(.f64 x (.f64 x #s(literal 1/20160 binary64)))
(* 1/20160 (pow x 2))
(.f64 x (.f64 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)))
(* 1/129600 (pow x 2))
(.f64 x (.f64 x #s(literal 1/129600 binary64)))
(* (pow x 2) (+ 1/129600 (* -1/406425600 (pow x 4))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/129600 binary64) (.f64 #s(literal -1/406425600 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* (pow x 2) (+ 1/129600 (* -1/406425600 (pow x 4))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/129600 binary64) (.f64 #s(literal -1/406425600 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* (pow x 2) (+ 1/129600 (* -1/406425600 (pow x 4))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/129600 binary64) (.f64 #s(literal -1/406425600 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* -1/406425600 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/406425600 binary64))
(* (pow x 6) (- (* 1/129600 (/ 1 (pow x 4))) 1/406425600))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1/406425600 binary64) (/.f64 #s(literal 1/129600 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* (pow x 6) (- (* 1/129600 (/ 1 (pow x 4))) 1/406425600))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1/406425600 binary64) (/.f64 #s(literal 1/129600 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* (pow x 6) (- (* 1/129600 (/ 1 (pow x 4))) 1/406425600))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1/406425600 binary64) (/.f64 #s(literal 1/129600 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* -1/406425600 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/406425600 binary64))
(* (pow x 6) (- (* 1/129600 (/ 1 (pow x 4))) 1/406425600))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1/406425600 binary64) (/.f64 #s(literal 1/129600 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* (pow x 6) (- (* 1/129600 (/ 1 (pow x 4))) 1/406425600))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1/406425600 binary64) (/.f64 #s(literal 1/129600 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* (pow x 6) (- (* 1/129600 (/ 1 (pow x 4))) 1/406425600))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1/406425600 binary64) (/.f64 #s(literal 1/129600 binary64) (.f64 x (.f64 x (.f64 x x))))))

eval117.0ms (0.9%)

Compiler: Compiled 30701 to 2361 computations (92.3% saved)

prune96.0ms (0.8%)

Pruning

29 alts after pruning (18 fresh and 11 done)

	Pruned	Kept	Total
New	839	4	843
Fresh	3	14	17
Picked	1	4	5
Done	0	7	7
Total	843	29	872

Accuracy

100.0%

Counts

872 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.0%	(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)))
	49.1%	(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))) (-.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x))))
	49.3%	(/.f64 (+.f64 (.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))) #s(literal 1 binary64)) (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal -2 binary64)))))
	49.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))))))
✓	47.8%	(-.f64 (+.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))
✓	49.1%	(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
✓	49.3%	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
✓	49.3%	(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
✓	47.7%	(+.f64 (exp.f64 x) #s(literal -1 binary64))
	49.3%	(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))))
	99.1%	(.f64 (+.f64 (.f64 (.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))))))) x) x)
	99.0%	(.f64 (+.f64 (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))))) x) x)
	99.1%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))))) (.f64 x x))
	98.3%	(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/20160 binary64))))) x)
✓	99.0%	(.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)
	30.8%	(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 #s(literal 1/20160 binary64) (/.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x))) (.f64 x x))))))) x)
	98.3%	(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))))) x)
	31.9%	(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/8193540096000 binary64))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/46656000 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) (.f64 (.f64 x x) #s(literal 1/129600 binary64))) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/20160 binary64)))) (.f64 (.f64 x x) #s(literal 1/360 binary64))))))))))) x)
✓	99.1%	(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/406425600 binary64)))) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal -1/20160 binary64) (.f64 x x))))))))) x)
	99.1%	(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/46656000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.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)))))))))) x)
	99.0%	(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (/.f64 (.f64 x (.f64 x #s(literal 1/129600 binary64))) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal -1/20160 binary64) (.f64 x x))))))))) x)
	47.3%	(.f64 (.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (.f64 x x))))) x)
	99.1%	(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/46656000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.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)))))))))
✓	99.1%	(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/20160 binary64)) (*.f64 x #s(literal 1/360 binary64))))))))
	98.8%	(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
	47.7%	(.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))
✓	98.2%	(*.f64 x x)
✓	7.7%	(expm1.f64 x)
✓	7.3%	x

Compiler

Compiled 1729 to 613 computations (64.5% saved)

regimes27.0ms (0.2%)

Counts

47 → 1

Calls

Call 1

Inputs
x
(*.f64 x x)
(-.f64 (+.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 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 x) (.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x x)))))
(.f64 (.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (.f64 x 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 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 x (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))))) x) x)
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/20160 binary64))))))))) x)
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/20160 binary64))))) x)
(+.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 x (.f64 #s(literal 1/20160 binary64) (.f64 x (.f64 x x))))))))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))))) 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 (.f64 x x) #s(literal 1/20160 binary64)))))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64))) (.f64 x x))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) (.f64 x x))))))
(.f64 (.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)))))))))) x)
(.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))))) (.f64 x x))
(.f64 (+.f64 (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))))))) x) x)
(.f64 (+.f64 (.f64 (.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))))))) x) x)
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/20160 binary64))) (*.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 x (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/20160 binary64)) (*.f64 x #s(literal 1/360 binary64))))))))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (/.f64 (.f64 x (.f64 x #s(literal 1/129600 binary64))) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal -1/20160 binary64) (.f64 x x))))))))) x)
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 #s(literal 1/20160 binary64) (/.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x))) (.f64 x x))))))) x)
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (/.f64 (.f64 (-.f64 #s(literal 1/129600 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/406425600 binary64))) x) (-.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))))))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/406425600 binary64)))) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal -1/20160 binary64) (.f64 x x))))))))) x)
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal 1/360 binary64)))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/46656000 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 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/46656000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.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 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/46656000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.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)))))))))) x)
(/.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))))))) (.f64 x (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))))))))) (-.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))))))))))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/8193540096000 binary64))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/46656000 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) (.f64 (.f64 x x) #s(literal 1/129600 binary64))) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/20160 binary64)))) (.f64 (.f64 x x) #s(literal 1/360 binary64))))))))))) x)
(expm1.f64 x)
(+.f64 (exp.f64 x) #s(literal -1 binary64))
(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (.f64 #s(literal 2 binary64) (cosh.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)) (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))))))
(/.f64 (+.f64 (.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))) #s(literal 1 binary64)) (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal -2 binary64)))))
(/.f64 (+.f64 (.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))) #s(literal 1 binary64)) (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.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 #s(literal 1 binary64) (exp.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64))) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (exp.f64 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 (*.f64 x x) #s(literal 1/20160 binary64)))))))))

Calls

2 calls:

13.0ms	x
11.0ms	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
99.1%	1	`x`
99.1%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes6.0ms (0%)

Counts

16 → 1

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
99.0%	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 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 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 x) (.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x x)))))
(.f64 (.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (.f64 x 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 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)

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
99.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes10.0ms (0.1%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
98.8%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

3 → 1

Calls

Call 1

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

Outputs
(*.f64 x x)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.2%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
7.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

26×	`*-commutative_binary64`
14×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	72
1	49	72

Stop Event

1×

saturated

Calls

Call 1

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

soundness1.8s (14.1%)

Rules

3718×	`-lowering-.f32`
3718×	`-lowering-.f64`
3612×	`-lowering-.f32`
3612×	`-lowering-.f64`
2884×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	177
1	233	160
2	1994	158
0	9448	158
0	7	8
1	21	7
2	40	7
3	66	7
4	121	7
5	220	7
6	504	7
7	959	7
8	1170	7
9	1241	7
10	1255	7
0	1255	7
0	36	242
1	267	206
2	2161	202
0	8103	202
0	131	2538
1	473	2115
2	1444	2082
3	4413	2048
0	8210	2048
0	67	495
1	197	430
2	537	423
3	1508	423
4	2654	423
5	6015	423
6	7672	423
0	8135	423

Stop Event

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

Compiler

Compiled 252 to 139 computations (44.8% saved)

preprocess53.0ms (0.4%)

Remove: (abs x)
Compiler: Compiled 284 to 136 computations (52.1% saved)

analyze0.0ms (0%)

sample4.0s (32%)

preprocess70.0ms (0.6%)

explain300.0ms (2.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify41.0ms (0.3%)

localize180.0ms (1.4%)

series4.0ms (0%)

rewrite328.0ms (2.6%)

simplify235.0ms (1.9%)

eval106.0ms (0.8%)

prune101.0ms (0.8%)

simplify170.0ms (1.4%)

localize495.0ms (4%)

series20.0ms (0.2%)

rewrite406.0ms (3.2%)

simplify249.0ms (2%)

eval141.0ms (1.1%)

prune111.0ms (0.9%)

simplify289.0ms (2.3%)

localize567.0ms (4.5%)

series9.0ms (0.1%)

rewrite327.0ms (2.6%)

simplify295.0ms (2.4%)

eval147.0ms (1.2%)

prune138.0ms (1.1%)

simplify212.0ms (1.7%)

localize894.0ms (7.2%)

series12.0ms (0.1%)

rewrite341.0ms (2.7%)

simplify225.0ms (1.8%)

eval117.0ms (0.9%)

prune96.0ms (0.8%)

regimes27.0ms (0.2%)

regimes6.0ms (0%)

regimes4.0ms (0%)

regimes10.0ms (0.1%)

regimes2.0ms (0%)

regimes1.0ms (0%)

simplify8.0ms (0.1%)

soundness1.8s (14.1%)

preprocess53.0ms (0.4%)

end0.0ms (0%)

Profiling