Metrics for exp2 (problem 3.3.7)

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

Precisions

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

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

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

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

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

const: 0.0ms (0% of total)

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

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

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

sample3.4s (32.3%)

Results

2.7s	5804×	2	valid
365.0ms	2292×	1	valid
11.0ms	160×	0	valid

Precisions

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

ival-exp: 1.8s (70.4% of total)

backward-pass: 228.0ms (8.8% of total)

ival-sub: 149.0ms (5.7% of total)

ival-add: 137.0ms (5.3% of total)

ival-neg: 133.0ms (5.1% of total)

ival-fabs: 59.0ms (2.3% of total)

ival-<=: 43.0ms (1.7% of total)

const: 17.0ms (0.7% of total)

Bogosity

preprocess63.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

Symmetry

(abs x)

explain243.0ms (2.3%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
125	-	-	`(+.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

177.0ms	360×	2	valid
25.0ms	142×	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: 147.0ms

ival-exp: 108.0ms (73.6% of total)

backward-pass: 15.0ms (10.2% of total)

ival-sub: 9.0ms (6.1% of total)

ival-add: 7.0ms (4.8% of total)

ival-neg: 6.0ms (4.1% 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
▶	56.2%	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
▶	56.1%	(+.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)

simplify34.0ms (0.3%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize162.0ms (1.6%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(exp.f64 (neg.f64 x))
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	99.9%	(-.f64 (exp.f64 x) #s(literal 2 binary64))
✓	accuracy	56.2%	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (exp.f64 x))
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64))
✓	accuracy	56.2%	(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))

Results

119.0ms	180×	2	valid
21.0ms	71×	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: 104.0ms

ival-exp: 60.0ms (57.7% of total)

ival-add: 14.0ms (13.5% of total)

backward-pass: 12.0ms (11.5% of total)

ival-div: 10.0ms (9.6% of total)

ival-sub: 4.0ms (3.8% of total)

ival-neg: 3.0ms (2.9% of total)

const: 1.0ms (1% of total)

series3.0ms (0%)

Counts

7 → 84

Calls

Call 1

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

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

Calls

21 calls:

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

rewrite546.0ms (5.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 513

Calls

Call 1

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

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

simplify169.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

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

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

eval85.0ms (0.8%)

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

prune66.0ms (0.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	645	6	651
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	647	6	653

Accuracy

100.0%

Counts

653 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.1%	(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
	56.2%	(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))) (exp.f64 (neg.f64 x)))
▶	99.4%	(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64))))))))
▶	99.3%	(.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) #s(literal 1/12 binary64))))
▶	98.5%	(*.f64 x x)

Compiler

Compiled 156 to 94 computations (39.7% saved)

simplify178.0ms (1.7%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

2348×	`-lowering-.f32`
2348×	`-lowering-.f64`
1684×	`fma-lowering-fma.f32`
1684×	`fma-lowering-fma.f64`
1562×	`fma-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	25	209
1	100	189
2	343	189
3	1040	183
4	2307	183
5	2952	183
6	3658	183
7	4746	183
8	5721	183
9	7967	183
0	8210	183

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

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

localize238.0ms (2.3%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) (cosh.f64 x))
✓	accuracy	100.0%	(cosh.f64 x)
✓	accuracy	56.1%	(-.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	99.7%	(.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 1/360 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))
✓	accuracy	100.0%	(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 1/12 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal 1/20160 binary64))
✓	accuracy	99.8%	(.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64))))))
✓	accuracy	99.7%	(.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64))))

Results

175.0ms	251×	1	valid
1.0ms	5×	0	valid

Compiler

Compiled 212 to 26 computations (87.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 102.0ms

ival-mult: 37.0ms (36.3% of total)

...c/correct-round.rkt:119:19: 22.0ms (21.6% of total)

ival-add: 15.0ms (14.7% of total)

backward-pass: 14.0ms (13.8% of total)

ival-cosh: 11.0ms (10.8% of total)

ival-sub: 3.0ms (2.9% of total)

const: 1.0ms (1% of total)

series14.0ms (0.1%)

Counts

18 → 216

Calls

Call 1

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

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

Calls

54 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(- (* 2 (cosh x)) 2)
1.0ms	x	@	inf	(* (* x x) (+ 1 (* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))))))
1.0ms	x	@	-inf	(- (* 2 (cosh x)) 2)
0.0ms	x	@	inf	(* (* x x) (+ 1 (* (* x x) 1/12)))
0.0ms	x	@	inf	(* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))))

rewrite308.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

3842×	`-lowering-.f32`
3842×	`-lowering-.f64`
2806×	`/-lowering-/.f32`
2806×	`/-lowering-/.f64`
2746×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	178
1	186	159
2	1689	153
0	8165	153

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 505

Calls

Call 1

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

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

simplify206.0ms (2%)

Algorithm

1×	egg-herbie

Rules

2594×	`+-lowering-+.f64`
2594×	`+-lowering-+.f32`
2532×	`-lowering-.f32`
2532×	`-lowering-.f64`
1904×	`sum3-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	88	1854
1	303	1707
2	929	1659
3	2844	1659
4	4679	1645
0	8672	1645

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

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

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

eval132.0ms (1.3%)

Compiler: Compiled 27004 to 2183 computations (91.9% saved)

prune100.0ms (1%)

Pruning

13 alts after pruning (8 fresh and 5 done)

	Pruned	Kept	Total
New	912	7	919
Fresh	0	1	1
Picked	0	5	5
Done	0	0	0
Total	912	13	925

Accuracy

100.0%

Counts

925 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.9%	(/.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 x (.f64 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 x (.f64 x #s(literal 1/20160 binary64))))))) (.f64 (.f64 x x) (.f64 x x))))) (-.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))) (.f64 (.f64 x x) (*.f64 x x)))))
▶	99.4%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))) (.f64 (.f64 x x) (.f64 x x))))) (.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))))))))))
▶	55.4%	(-.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))))) #s(literal 2 binary64))
▶	55.0%	(-.f64 (+.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))
✓	56.1%	(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
▶	56.2%	(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))) (exp.f64 (neg.f64 x)))
	99.3%	(+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))))) (*.f64 x x))
▶	99.1%	(+.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/12 binary64))))) (*.f64 x x))
	99.1%	(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/12 binary64))))) x)
✓	99.4%	(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64))))))))
✓	99.3%	(.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) #s(literal 1/12 binary64))))
✓	98.5%	(*.f64 x x)

Compiler

Compiled 523 to 223 computations (57.4% saved)

simplify179.0ms (1.7%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 (exp.f64 x) #s(literal -2 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
✓	cost-diff	192	(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))) (exp.f64 (neg.f64 x)))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))))
✓	cost-diff	0	(+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))))
✓	cost-diff	256	(-.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))))) #s(literal 2 binary64))
✓	cost-diff	0	(.f64 x (.f64 x #s(literal 1/12 binary64)))
✓	cost-diff	0	(.f64 x (.f64 x (*.f64 x #s(literal 1/12 binary64))))
✓	cost-diff	0	(.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/12 binary64)))))
✓	cost-diff	128	(+.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/12 binary64))))) (*.f64 x 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 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))) (.f64 (.f64 x x) (*.f64 x x))))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))) (.f64 (.f64 x x) (*.f64 x x)))))
✓	cost-diff	0	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))) (.f64 (.f64 x x) (.f64 x x))))) (*.f64 x x))
✓	cost-diff	0	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))) (.f64 (.f64 x x) (.f64 x x))))) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (*.f64 x #s(literal 1/20160 binary64))))))))))

Rules

2760×	`-lowering-.f32`
2760×	`-lowering-.f64`
1820×	`fma-define`
1488×	`fma-lowering-fma.f32`
1488×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	45	495
1	147	430
2	479	400
3	1936	400
4	6339	396
0	8155	396

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize571.0ms (5.5%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))))
✓	accuracy	99.9%	(+.f64 (exp.f64 x) #s(literal -2 binary64))
✓	accuracy	56.2%	(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))) (exp.f64 (neg.f64 x)))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 1/360 binary64)))
✓	accuracy	99.6%	(*.f64 x #s(literal 1/360 binary64))
✓	accuracy	99.5%	(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal 1/360 binary64)))))
✓	accuracy	56.1%	(-.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))))) #s(literal 2 binary64))
✓	accuracy	99.9%	(.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/12 binary64)))))
✓	accuracy	99.9%	(.f64 x (.f64 x (*.f64 x #s(literal 1/12 binary64))))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 1/12 binary64)))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/12 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 2 binary64) (*.f64 x x))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	56.1%	(-.f64 (+.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 1/20160 binary64)))
✓	accuracy	99.8%	(.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))
✓	accuracy	99.8%	(.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))))
✓	accuracy	99.6%	(.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (*.f64 x #s(literal 1/20160 binary64)))))

Results

362.0ms	180×	2	valid
82.0ms	71×	1	valid
2.0ms	5×	0	valid

Compiler

Compiled 508 to 46 computations (90.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 315.0ms

ival-mult: 89.0ms (28.3% of total)

ival-add: 53.0ms (16.8% of total)

ival-exp: 50.0ms (15.9% of total)

backward-pass: 41.0ms (13% of total)

...c/correct-round.rkt:119:19: 39.0ms (12.4% of total)

ival-div: 19.0ms (6% of total)

ival-sub: 18.0ms (5.7% of total)

ival-neg: 4.0ms (1.3% of total)

const: 2.0ms (0.6% of total)

series15.0ms (0.1%)

Counts

26 → 312

Calls

Call 1

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

Outputs
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt (* 1/20160 (pow x 8))>
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/20160 (pow x 8))>
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1/144 (pow x 4))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 4) (- (* -1/2160 (pow x 2)) 1/144))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 4) (- (* (pow x 2) (- (* -29/1814400 (pow x 2)) 1/2160)) 1/144))))>
#<alt (* -1/406425600 (pow x 14))>
#<alt (* -1 (* (pow x 14) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2))))))>
#<alt (* (pow x 14) (- (* -1 (/ (+ 1/3628800 (* 29/1814400 (/ 1 (pow x 2)))) (pow x 2))) 1/406425600))>
#<alt (* (pow x 14) (- (* -1 (/ (+ 29/1814400 (* 1/2160 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2))))))>
#<alt (* -1/406425600 (pow x 14))>
#<alt (* -1 (* (pow x 14) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2))))))>
#<alt (* (pow x 14) (- (* -1 (/ (+ 1/3628800 (* 29/1814400 (/ 1 (pow x 2)))) (pow x 2))) 1/406425600))>
#<alt (* (pow x 14) (- (* -1 (/ (+ 29/1814400 (* 1/2160 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2))))))>
#<alt 1>
#<alt (+ 1 (* -1/144 (pow x 4)))>
#<alt (+ 1 (* (pow x 4) (- (* -1/2160 (pow x 2)) 1/144)))>
#<alt (+ 1 (* (pow x 4) (- (* (pow x 2) (- (* -29/1814400 (pow x 2)) 1/2160)) 1/144)))>
#<alt (* -1/406425600 (pow x 12))>
#<alt (* -1 (* (pow x 12) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2))))))>
#<alt (* (pow x 12) (- (* -1 (/ (+ 1/3628800 (* 29/1814400 (/ 1 (pow x 2)))) (pow x 2))) 1/406425600))>
#<alt (* (pow x 12) (- (* -1 (/ (+ 29/1814400 (* 1/2160 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2))))))>
#<alt (* -1/406425600 (pow x 12))>
#<alt (* -1 (* (pow x 12) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2))))))>
#<alt (* (pow x 12) (- (* -1 (/ (+ 1/3628800 (* 29/1814400 (/ 1 (pow x 2)))) (pow x 2))) 1/406425600))>
#<alt (* (pow x 12) (- (* -1 (/ (+ 29/1814400 (* 1/2160 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2))))))>
#<alt (* 1/144 (pow x 4))>
#<alt (* (pow x 4) (+ 1/144 (* 1/2160 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/144 (* (pow x 2) (+ 1/2160 (* 29/1814400 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/144 (* (pow x 2) (+ 1/2160 (* (pow x 2) (+ 29/1814400 (* 1/3628800 (pow x 2))))))))>
#<alt (* 1/406425600 (pow x 12))>
#<alt (* (pow x 12) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2)))))>
#<alt (* (pow x 12) (+ 1/406425600 (+ (/ 29/1814400 (pow x 4)) (* 1/3628800 (/ 1 (pow x 2))))))>
#<alt (* (pow x 12) (+ 1/406425600 (+ (/ 29/1814400 (pow x 4)) (+ (* 1/3628800 (/ 1 (pow x 2))) (* 1/2160 (/ 1 (pow x 6)))))))>
#<alt (* 1/406425600 (pow x 12))>
#<alt (* (pow x 12) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2)))))>
#<alt (* (pow x 12) (+ 1/406425600 (+ (/ 29/1814400 (pow x 4)) (* 1/3628800 (/ 1 (pow x 2))))))>
#<alt (* (pow x 12) (+ 1/406425600 (+ (/ 29/1814400 (pow x 4)) (+ (* 1/3628800 (/ 1 (pow x 2))) (* 1/2160 (/ 1 (pow x 6)))))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 2>
#<alt (+ 2 (pow x 2))>
#<alt (+ 2 (pow x 2))>
#<alt (+ 2 (pow x 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* 1/12 (pow x 4))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* 1/12 (pow x 4))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt 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 (* 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)) (* 2 (/ 1 (pow x 6)))))))>
#<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)) (* 2 (/ 1 (pow x 6)))))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 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 (- x 1)>
#<alt (- (* x (+ 1 (* 1/2 x))) 1)>
#<alt (- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* x (- (* -3/2 x) 1)) 1)>
#<alt (- (* x (- (* x (- (* -13/6 x) 3/2)) 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 (- 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 (* 1/360 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 (* 1/12 (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 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 (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* 1/360 (pow x 3))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* 1/360 (pow x 3))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>

Calls

78 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(* x 1/360)
1.0ms	x	@	inf	(/ (* (- 1 (* (+ 1/12 (* x (* x (+ 1/360 (* x (* x 1/20160)))))) (* (+ 1/12 (* x (* x (+ 1/360 (* x (* x 1/20160)))))) (* (* x x) (* x x))))) (* x x)) (- 1 (* (* x x) (+ 1/12 (* x (* x (+ 1/360 (* x (* x 1/20160)))))))))
0.0ms	x	@	inf	(/ 1 (+ (exp x) -2))
0.0ms	x	@	-inf	(/ 1 (+ (exp x) -2))
0.0ms	x	@	0	(/ (* (- 1 (* (+ 1/12 (* x (* x (+ 1/360 (* x (* x 1/20160)))))) (* (+ 1/12 (* x (* x (+ 1/360 (* x (* x 1/20160)))))) (* (* x x) (* x x))))) (* x x)) (- 1 (* (* x x) (+ 1/12 (* x (* x (+ 1/360 (* x (* x 1/20160)))))))))

rewrite420.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

4970×	`-lowering-.f32`
4970×	`-lowering-.f64`
2384×	`fma-lowering-fma.f32`
2384×	`fma-lowering-fma.f64`
2366×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	45	353
1	322	237
2	3091	229
0	9652	229

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 652

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (*.f64 x x)))))))))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (.f64 x (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (.f64 x x)))))) (.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (.f64 x x)))))))))))) (-.f64 #s(literal 0 binary64) (-.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 #s(literal 1/20160 binary64) (*.f64 x x))))))))))))
(neg.f64 (/.f64 (.f64 (.f64 x x) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (.f64 x x)))))) (.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (.f64 x x)))))))))))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (*.f64 x x)))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (.f64 x x))))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (.f64 x x))))))))))) #s(literal 1 binary64)))
(/.f64 (.f64 x (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (.f64 x x)))))) (.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (.f64 x x)))))))))))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (*.f64 x x))))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (.f64 x x)))))))))))))
(/.f64 (.f64 (.f64 x x) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (.f64 x x)))))) (.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (.f64 x x)))))))))))) (-.f64 #s(literal 0 binary64) (-.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 #s(literal 1/20160 binary64) (*.f64 x x)))))))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (.f64 x x)))))) (.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (.f64 x x))))))))) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (.f64 x x)))))) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (.f64 x x))))))) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (.f64 x x)))))) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (.f64 x x))))))))))) (.f64 x x)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (.f64 x x)))))) (.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (.f64 x x))))))))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (.f64 x x)))))) (.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (.f64 x x)))))))))))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (*.f64 x x)))))))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (.f64 x x)))))) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (.f64 x x))))))) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (.f64 x x)))))) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (.f64 x x)))))))))) (.f64 x x)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (.f64 x x)))))) (.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (.f64 x x)))))))))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (*.f64 x x)))))))))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (.f64 x x)))))) (.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (.f64 x x))))))))))))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.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 #s(literal 1/20160 binary64) (*.f64 x x))))))))))))
(/.f64 (.f64 (.f64 x (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (.f64 x x)))))) (.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (.f64 x x)))))))))))) #s(literal 1 binary64)) (-.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 #s(literal 1/20160 binary64) (.f64 x x))))))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (.f64 x x)))))) (.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (.f64 x x))))))))) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (.f64 x x)))))) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (.f64 x x))))))) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (.f64 x x)))))) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (.f64 x x))))))))))) (/.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (.f64 x x))))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (.f64 x x)))))) (.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (.f64 x x))))))))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (.f64 x x)))))) (.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (.f64 x x)))))))))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (.f64 x x)))))) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (.f64 x x))))))) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (.f64 x x)))))) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (.f64 x x)))))))))) (/.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (.f64 x x))))))))))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (.f64 x x)))))) (.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (.f64 x x)))))))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (.f64 x x))))))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (.f64 x x))))))))))) #s(literal 1 binary64)) #s(literal -1 binary64))
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(fma.f64 (.f64 x x) #s(literal 1/12 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (.f64 x x)))) (.f64 x (*.f64 x x))))
(fma.f64 (.f64 x x) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (.f64 x x))))) (.f64 #s(literal 1/12 binary64) (*.f64 x x)))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (.f64 x x))) (.f64 #s(literal 1/12 binary64) (*.f64 x x)))
(fma.f64 (.f64 #s(literal 1/12 binary64) x) x (.f64 (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (.f64 x x)))) (.f64 x (*.f64 x x))))
(fma.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal 1 binary64) (.f64 (.f64 (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (.f64 x x)))) (.f64 x (*.f64 x x))) #s(literal 1 binary64)))
(fma.f64 (.f64 x (.f64 x x)) (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (.f64 x x)))) (.f64 #s(literal 1/12 binary64) (*.f64 x x)))
(fma.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (.f64 x x))))) x) x (.f64 #s(literal 1/12 binary64) (*.f64 x x)))
(fma.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (.f64 x x))))) x (.f64 #s(literal 1/12 binary64) (*.f64 x x)))
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(.f64 (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (.f64 x x))))))) x)
(.f64 (.f64 #s(literal 1 binary64) x) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (*.f64 x x))))))))
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(+.f64 (.f64 #s(literal 1/360 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 #s(literal 1/20160 binary64) (.f64 x x)))))
(+.f64 (.f64 #s(literal 1/360 binary64) (.f64 x x)) (.f64 (.f64 x x) (.f64 #s(literal 1/20160 binary64) (.f64 x x))))
(+.f64 (.f64 #s(literal 1/360 binary64) (.f64 x x)) (.f64 (.f64 x (.f64 #s(literal 1/20160 binary64) (.f64 x x))) x))
(+.f64 (.f64 #s(literal 1/360 binary64) (.f64 x x)) (.f64 (.f64 #s(literal 1/20160 binary64) (.f64 x x)) (.f64 x x)))
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(+.f64 (.f64 (.f64 #s(literal 1/20160 binary64) (.f64 x x)) (.f64 x x)) (.f64 #s(literal 1/360 binary64) (.f64 x x)))
(fma.f64 x (.f64 x #s(literal 1/360 binary64)) (.f64 x (.f64 x (.f64 #s(literal 1/20160 binary64) (*.f64 x x)))))
(fma.f64 x (.f64 x #s(literal 1/360 binary64)) (.f64 (.f64 x x) (.f64 #s(literal 1/20160 binary64) (*.f64 x x))))
(fma.f64 x (.f64 x #s(literal 1/360 binary64)) (.f64 (.f64 x (.f64 #s(literal 1/20160 binary64) (*.f64 x x))) x))
(fma.f64 x (.f64 x #s(literal 1/360 binary64)) (.f64 (.f64 #s(literal 1/20160 binary64) (.f64 x x)) (*.f64 x x)))
(fma.f64 #s(literal 1/360 binary64) (.f64 x x) (.f64 x (.f64 x (.f64 #s(literal 1/20160 binary64) (*.f64 x x)))))
(fma.f64 #s(literal 1/360 binary64) (.f64 x x) (.f64 (.f64 x x) (.f64 #s(literal 1/20160 binary64) (*.f64 x x))))
(fma.f64 #s(literal 1/360 binary64) (.f64 x x) (.f64 (.f64 x (.f64 #s(literal 1/20160 binary64) (*.f64 x x))) x))
(fma.f64 #s(literal 1/360 binary64) (.f64 x x) (.f64 (.f64 #s(literal 1/20160 binary64) (.f64 x x)) (*.f64 x x)))
(fma.f64 (.f64 #s(literal 1/20160 binary64) (.f64 x x)) (.f64 x x) (.f64 #s(literal 1/360 binary64) (*.f64 x x)))
(fma.f64 (.f64 x x) #s(literal 1/360 binary64) (.f64 x (.f64 x (.f64 #s(literal 1/20160 binary64) (*.f64 x x)))))
(fma.f64 (.f64 x x) #s(literal 1/360 binary64) (.f64 (.f64 x x) (.f64 #s(literal 1/20160 binary64) (*.f64 x x))))
(fma.f64 (.f64 x x) #s(literal 1/360 binary64) (.f64 (.f64 x (.f64 #s(literal 1/20160 binary64) (*.f64 x x))) x))
(fma.f64 (.f64 x x) #s(literal 1/360 binary64) (.f64 (.f64 #s(literal 1/20160 binary64) (.f64 x x)) (*.f64 x x)))
(fma.f64 (.f64 x x) (.f64 #s(literal 1/20160 binary64) (.f64 x x)) (.f64 #s(literal 1/360 binary64) (*.f64 x x)))
(fma.f64 (.f64 x #s(literal 1/360 binary64)) x (.f64 x (.f64 x (.f64 #s(literal 1/20160 binary64) (*.f64 x x)))))
(fma.f64 (.f64 x #s(literal 1/360 binary64)) x (.f64 (.f64 x x) (.f64 #s(literal 1/20160 binary64) (*.f64 x x))))
(fma.f64 (.f64 x #s(literal 1/360 binary64)) x (.f64 (.f64 x (.f64 #s(literal 1/20160 binary64) (*.f64 x x))) x))
(fma.f64 (.f64 x #s(literal 1/360 binary64)) x (.f64 (.f64 #s(literal 1/20160 binary64) (.f64 x x)) (*.f64 x x)))
(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/46656000 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/8193540096000 binary64)))) (+.f64 #s(literal 1/129600 binary64) (.f64 (.f64 #s(literal 1/20160 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal 1/20160 binary64) (*.f64 x x)) #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 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (.f64 x x)))))
(.f64 (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (.f64 x x))) (.f64 x x))
(.f64 (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (.f64 x x)))) x)
(.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (.f64 x x))))
(.f64 x (.f64 x #s(literal 1/20160 binary64)))
(.f64 #s(literal 1/20160 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/20160 binary64)) x)
(.f64 (.f64 x x) #s(literal 1/20160 binary64))
(*.f64 #s(literal 1/12 binary64) x)
(*.f64 x #s(literal 1/12 binary64))
(+.f64 (.f64 #s(literal 1/12 binary64) x) (.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x x))))
(+.f64 (.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x x))) (.f64 #s(literal 1/12 binary64) x))
(fma.f64 #s(literal 1/12 binary64) x (.f64 x (.f64 #s(literal 1/360 binary64) (*.f64 x x))))
(fma.f64 x #s(literal 1/12 binary64) (.f64 x (.f64 #s(literal 1/360 binary64) (*.f64 x x))))
(fma.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x x)) (*.f64 #s(literal 1/12 binary64) x))
(fma.f64 (.f64 x x) (.f64 x #s(literal 1/360 binary64)) (*.f64 #s(literal 1/12 binary64) x))
(fma.f64 (.f64 x #s(literal 1/360 binary64)) (.f64 x x) (*.f64 #s(literal 1/12 binary64) x))
(fma.f64 (.f64 #s(literal 1/360 binary64) (.f64 x x)) x (*.f64 #s(literal 1/12 binary64) x))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/360 binary64) (*.f64 #s(literal 1/12 binary64) x))
(/.f64 (+.f64 (.f64 #s(literal 1/1728 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 #s(literal 1/46656000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 x (.f64 x x)))) (+.f64 (.f64 (.f64 #s(literal 1/12 binary64) x) (.f64 #s(literal 1/12 binary64) x)) (-.f64 (.f64 (.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x x))) (.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x x)))) (.f64 (.f64 #s(literal 1/12 binary64) x) (.f64 x (.f64 #s(literal 1/360 binary64) (*.f64 x x)))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/12 binary64) x) (.f64 #s(literal 1/12 binary64) x)) (.f64 (.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x x))) (.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x x))))) (-.f64 (.f64 #s(literal 1/12 binary64) x) (.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x x)))))
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(/.f64 (.f64 (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/129600 binary64))) x) (-.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/360 binary64) (*.f64 x x))))
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/360 binary64) (*.f64 x x))))
(.f64 (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/360 binary64) (*.f64 x x))) x)
(*.f64 x #s(literal 1/360 binary64))
(*.f64 #s(literal 1/360 binary64) x)
(.f64 x (.f64 x #s(literal 1/360 binary64)))
(.f64 #s(literal 1/360 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/360 binary64))
(.f64 (.f64 x #s(literal 1/360 binary64)) x)

simplify250.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

3536×	`-lowering-.f32`
3536×	`-lowering-.f64`
2776×	`+-lowering-+.f64`
2776×	`+-lowering-+.f32`
1620×	`fma-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	195	2436
1	619	2314
2	1843	2263
3	5695	2254
0	8074	2254

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 312

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) (+ 1 (* -1/144 (pow x 4))))
(* (pow x 2) (+ 1 (* (pow x 4) (- (* -1/2160 (pow x 2)) 1/144))))
(* (pow x 2) (+ 1 (* (pow x 4) (- (* (pow x 2) (- (* -29/1814400 (pow x 2)) 1/2160)) 1/144))))
(* -1/406425600 (pow x 14))
(* -1 (* (pow x 14) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2))))))
(* (pow x 14) (- (* -1 (/ (+ 1/3628800 (* 29/1814400 (/ 1 (pow x 2)))) (pow x 2))) 1/406425600))
(* (pow x 14) (- (* -1 (/ (+ 29/1814400 (* 1/2160 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2))))))
(* -1/406425600 (pow x 14))
(* -1 (* (pow x 14) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2))))))
(* (pow x 14) (- (* -1 (/ (+ 1/3628800 (* 29/1814400 (/ 1 (pow x 2)))) (pow x 2))) 1/406425600))
(* (pow x 14) (- (* -1 (/ (+ 29/1814400 (* 1/2160 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2))))))
1
(+ 1 (* -1/144 (pow x 4)))
(+ 1 (* (pow x 4) (- (* -1/2160 (pow x 2)) 1/144)))
(+ 1 (* (pow x 4) (- (* (pow x 2) (- (* -29/1814400 (pow x 2)) 1/2160)) 1/144)))
(* -1/406425600 (pow x 12))
(* -1 (* (pow x 12) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2))))))
(* (pow x 12) (- (* -1 (/ (+ 1/3628800 (* 29/1814400 (/ 1 (pow x 2)))) (pow x 2))) 1/406425600))
(* (pow x 12) (- (* -1 (/ (+ 29/1814400 (* 1/2160 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2))))))
(* -1/406425600 (pow x 12))
(* -1 (* (pow x 12) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2))))))
(* (pow x 12) (- (* -1 (/ (+ 1/3628800 (* 29/1814400 (/ 1 (pow x 2)))) (pow x 2))) 1/406425600))
(* (pow x 12) (- (* -1 (/ (+ 29/1814400 (* 1/2160 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2))))))
(* 1/144 (pow x 4))
(* (pow x 4) (+ 1/144 (* 1/2160 (pow x 2))))
(* (pow x 4) (+ 1/144 (* (pow x 2) (+ 1/2160 (* 29/1814400 (pow x 2))))))
(* (pow x 4) (+ 1/144 (* (pow x 2) (+ 1/2160 (* (pow x 2) (+ 29/1814400 (* 1/3628800 (pow x 2))))))))
(* 1/406425600 (pow x 12))
(* (pow x 12) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2)))))
(* (pow x 12) (+ 1/406425600 (+ (/ 29/1814400 (pow x 4)) (* 1/3628800 (/ 1 (pow x 2))))))
(* (pow x 12) (+ 1/406425600 (+ (/ 29/1814400 (pow x 4)) (+ (* 1/3628800 (/ 1 (pow x 2))) (* 1/2160 (/ 1 (pow x 6)))))))
(* 1/406425600 (pow x 12))
(* (pow x 12) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2)))))
(* (pow x 12) (+ 1/406425600 (+ (/ 29/1814400 (pow x 4)) (* 1/3628800 (/ 1 (pow x 2))))))
(* (pow x 12) (+ 1/406425600 (+ (/ 29/1814400 (pow x 4)) (+ (* 1/3628800 (/ 1 (pow x 2))) (* 1/2160 (/ 1 (pow x 6)))))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
2
(+ 2 (pow x 2))
(+ 2 (pow x 2))
(+ 2 (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
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)))))))
(* 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)) (* 2 (/ 1 (pow x 6)))))))
(* 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)) (* 2 (/ 1 (pow x 6)))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 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
(- x 1)
(- (* x (+ 1 (* 1/2 x))) 1)
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
-1
(- (* -1 x) 1)
(- (* x (- (* -3/2 x) 1)) 1)
(- (* x (- (* x (- (* -13/6 x) 3/2)) 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
(- 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)
(* 1/360 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)))))
(* 1/12 (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 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))
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* 1/360 (pow x 3))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 3))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))

Outputs
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64)))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64))))))))))
(* 1/20160 (pow x 8))
(.f64 #s(literal 1/20160 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/20160 binary64) (+.f64 (/.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 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (+.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 1/20160 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(* 1/20160 (pow x 8))
(.f64 #s(literal 1/20160 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/20160 binary64) (+.f64 (/.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 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (+.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 1/20160 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1/144 (pow x 4))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/144 binary64))))
(* (pow x 2) (+ 1 (* (pow x 4) (- (* -1/2160 (pow x 2)) 1/144))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/144 binary64) (.f64 (.f64 x x) #s(literal -1/2160 binary64))))))
(* (pow x 2) (+ 1 (* (pow x 4) (- (* (pow x 2) (- (* -29/1814400 (pow x 2)) 1/2160)) 1/144))))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/144 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2160 binary64) (.f64 (.f64 x x) #s(literal -29/1814400 binary64)))))))))
(* -1/406425600 (pow x 14))
(*.f64 #s(literal -1/406425600 binary64) (pow.f64 x #s(literal 14 binary64)))
(* -1 (* (pow x 14) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 14 binary64)) (-.f64 #s(literal -1/406425600 binary64) (/.f64 #s(literal 1/3628800 binary64) (.f64 x x))))
(* (pow x 14) (- (* -1 (/ (+ 1/3628800 (* 29/1814400 (/ 1 (pow x 2)))) (pow x 2))) 1/406425600))
(.f64 (pow.f64 x #s(literal 14 binary64)) (+.f64 #s(literal -1/406425600 binary64) (/.f64 (-.f64 #s(literal -1/3628800 binary64) (/.f64 #s(literal 29/1814400 binary64) (.f64 x x))) (*.f64 x x))))
(* (pow x 14) (- (* -1 (/ (+ 29/1814400 (* 1/2160 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 14 binary64)) (-.f64 (-.f64 #s(literal -1/406425600 binary64) (/.f64 #s(literal 1/3628800 binary64) (.f64 x x))) (/.f64 (+.f64 #s(literal 29/1814400 binary64) (/.f64 #s(literal 1/2160 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))
(* -1/406425600 (pow x 14))
(*.f64 #s(literal -1/406425600 binary64) (pow.f64 x #s(literal 14 binary64)))
(* -1 (* (pow x 14) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 14 binary64)) (-.f64 #s(literal -1/406425600 binary64) (/.f64 #s(literal 1/3628800 binary64) (.f64 x x))))
(* (pow x 14) (- (* -1 (/ (+ 1/3628800 (* 29/1814400 (/ 1 (pow x 2)))) (pow x 2))) 1/406425600))
(.f64 (pow.f64 x #s(literal 14 binary64)) (+.f64 #s(literal -1/406425600 binary64) (/.f64 (-.f64 #s(literal -1/3628800 binary64) (/.f64 #s(literal 29/1814400 binary64) (.f64 x x))) (*.f64 x x))))
(* (pow x 14) (- (* -1 (/ (+ 29/1814400 (* 1/2160 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 14 binary64)) (-.f64 (-.f64 #s(literal -1/406425600 binary64) (/.f64 #s(literal 1/3628800 binary64) (.f64 x x))) (/.f64 (+.f64 #s(literal 29/1814400 binary64) (/.f64 #s(literal 1/2160 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))
1
#s(literal 1 binary64)
(+ 1 (* -1/144 (pow x 4)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/144 binary64)))
(+ 1 (* (pow x 4) (- (* -1/2160 (pow x 2)) 1/144)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/144 binary64) (.f64 (.f64 x x) #s(literal -1/2160 binary64)))))
(+ 1 (* (pow x 4) (- (* (pow x 2) (- (* -29/1814400 (pow x 2)) 1/2160)) 1/144)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/144 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2160 binary64) (.f64 (.f64 x x) #s(literal -29/1814400 binary64)))))))
(* -1/406425600 (pow x 12))
(*.f64 #s(literal -1/406425600 binary64) (pow.f64 x #s(literal 12 binary64)))
(* -1 (* (pow x 12) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 12 binary64)) (-.f64 #s(literal -1/406425600 binary64) (/.f64 #s(literal 1/3628800 binary64) (.f64 x x))))
(* (pow x 12) (- (* -1 (/ (+ 1/3628800 (* 29/1814400 (/ 1 (pow x 2)))) (pow x 2))) 1/406425600))
(.f64 (+.f64 #s(literal -1/406425600 binary64) (/.f64 (-.f64 #s(literal -1/3628800 binary64) (/.f64 #s(literal 29/1814400 binary64) (.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 12 binary64)))
(* (pow x 12) (- (* -1 (/ (+ 29/1814400 (* 1/2160 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2))))))
(.f64 (-.f64 (-.f64 #s(literal -1/406425600 binary64) (/.f64 #s(literal 1/3628800 binary64) (.f64 x x))) (/.f64 (+.f64 #s(literal 29/1814400 binary64) (/.f64 #s(literal 1/2160 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) (pow.f64 x #s(literal 12 binary64)))
(* -1/406425600 (pow x 12))
(*.f64 #s(literal -1/406425600 binary64) (pow.f64 x #s(literal 12 binary64)))
(* -1 (* (pow x 12) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 12 binary64)) (-.f64 #s(literal -1/406425600 binary64) (/.f64 #s(literal 1/3628800 binary64) (.f64 x x))))
(* (pow x 12) (- (* -1 (/ (+ 1/3628800 (* 29/1814400 (/ 1 (pow x 2)))) (pow x 2))) 1/406425600))
(.f64 (+.f64 #s(literal -1/406425600 binary64) (/.f64 (-.f64 #s(literal -1/3628800 binary64) (/.f64 #s(literal 29/1814400 binary64) (.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 12 binary64)))
(* (pow x 12) (- (* -1 (/ (+ 29/1814400 (* 1/2160 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2))))))
(.f64 (-.f64 (-.f64 #s(literal -1/406425600 binary64) (/.f64 #s(literal 1/3628800 binary64) (.f64 x x))) (/.f64 (+.f64 #s(literal 29/1814400 binary64) (/.f64 #s(literal 1/2160 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) (pow.f64 x #s(literal 12 binary64)))
(* 1/144 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/144 binary64))
(* (pow x 4) (+ 1/144 (* 1/2160 (pow x 2))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/144 binary64) (.f64 x (.f64 x #s(literal 1/2160 binary64)))))
(* (pow x 4) (+ 1/144 (* (pow x 2) (+ 1/2160 (* 29/1814400 (pow x 2))))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2160 binary64) (.f64 (.f64 x x) #s(literal 29/1814400 binary64))))))
(* (pow x 4) (+ 1/144 (* (pow x 2) (+ 1/2160 (* (pow x 2) (+ 29/1814400 (* 1/3628800 (pow x 2))))))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/144 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2160 binary64) (.f64 x (.f64 x (+.f64 #s(literal 29/1814400 binary64) (.f64 (.f64 x x) #s(literal 1/3628800 binary64))))))))))
(* 1/406425600 (pow x 12))
(*.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 12 binary64)))
(* (pow x 12) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/406425600 binary64) (/.f64 #s(literal 1/3628800 binary64) (.f64 x x))) (pow.f64 x #s(literal 12 binary64)))
(* (pow x 12) (+ 1/406425600 (+ (/ 29/1814400 (pow x 4)) (* 1/3628800 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (/.f64 #s(literal 1/3628800 binary64) (.f64 x x)) (+.f64 #s(literal 1/406425600 binary64) (/.f64 #s(literal 29/1814400 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 12) (+ 1/406425600 (+ (/ 29/1814400 (pow x 4)) (+ (* 1/3628800 (/ 1 (pow x 2))) (* 1/2160 (/ 1 (pow x 6)))))))
(.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 1/406425600 binary64) (+.f64 (/.f64 #s(literal 1/3628800 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 29/1814400 binary64) (.f64 x (.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/2160 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(* 1/406425600 (pow x 12))
(*.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 12 binary64)))
(* (pow x 12) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2)))))
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(+.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))
(* 1/360 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))))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64)))))
(* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))))
(* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))))
(* 1/20160 (pow x 6))
(*.f64 #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 #s(literal 1/20160 binary64) (+.f64 (/.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 #s(literal 1/20160 binary64) (+.f64 (/.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 #s(literal 1/20160 binary64) (+.f64 (/.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 #s(literal 1/20160 binary64) (+.f64 (/.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 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/360 binary64))
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))
(* 1/20160 (pow x 4))
(.f64 x (.f64 #s(literal 1/20160 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* 1/20160 (pow x 4))
(.f64 x (.f64 #s(literal 1/20160 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* 1/20160 (pow x 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))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 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 (*.f64 x x) #s(literal 1/360 binary64))))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (*.f64 x x) #s(literal 1/360 binary64))))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (*.f64 x x) #s(literal 1/360 binary64))))
(* 1/360 (pow x 3))
(.f64 #s(literal 1/360 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (*.f64 x x) #s(literal 1/360 binary64))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (*.f64 x x) #s(literal 1/360 binary64))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (*.f64 x x) #s(literal 1/360 binary64))))
(* 1/360 (pow x 3))
(.f64 #s(literal 1/360 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (*.f64 x x) #s(literal 1/360 binary64))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (*.f64 x x) #s(literal 1/360 binary64))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (*.f64 x x) #s(literal 1/360 binary64))))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/360 binary64))
(* 1/360 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/360 binary64))
(* 1/360 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/360 binary64))
(* 1/360 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/360 binary64))
(* 1/360 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/360 binary64))
(* 1/360 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/360 binary64))
(* 1/360 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/360 binary64))
(* 1/360 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/360 binary64))
(* 1/360 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/360 binary64))
(* 1/360 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/360 binary64))
(* 1/360 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/360 binary64))
(* 1/360 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/360 binary64))

eval177.0ms (1.7%)

Compiler: Compiled 54303 to 3314 computations (93.9% saved)

prune150.0ms (1.4%)

Pruning

14 alts after pruning (4 fresh and 10 done)

	Pruned	Kept	Total
New	1286	2	1288
Fresh	1	2	3
Picked	0	5	5
Done	0	5	5
Total	1287	14	1301

Accuracy

100.0%

Counts

1301 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.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))))) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))) (.f64 (.f64 x x) (.f64 x x))))) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (*.f64 x #s(literal 1/20160 binary64))))))))))
✓	99.4%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))) (.f64 (.f64 x x) (.f64 x x))))) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (*.f64 x #s(literal 1/20160 binary64))))))))))
▶	99.3%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2160 binary64) (.f64 (.f64 x x) #s(literal 29/1814400 binary64))))))) (.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))))))))))
✓	55.4%	(-.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))))) #s(literal 2 binary64))
✓	55.0%	(-.f64 (+.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))
✓	56.1%	(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
✓	56.2%	(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))) (exp.f64 (neg.f64 x)))
▶	99.3%	(+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))))) (*.f64 x x))
✓	99.1%	(+.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/12 binary64))))) (*.f64 x x))
▶	99.1%	(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/12 binary64))))) x)
✓	99.4%	(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64))))))))
✓	99.3%	(.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) #s(literal 1/12 binary64))))
✓	98.5%	(*.f64 x x)

Compiler

Compiled 338 to 171 computations (49.4% saved)

simplify207.0ms (2%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (+.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))))) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))) (.f64 (.f64 x x) (*.f64 x x))))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (.f64 (+.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))))) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))) (.f64 (.f64 x x) (*.f64 x x)))))
✓	cost-diff	0	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.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))))) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))) (.f64 (.f64 x x) (.f64 x x))))) (*.f64 x x))
✓	cost-diff	0	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.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))))) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))) (.f64 (.f64 x x) (.f64 x x))))) (.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))))))))))
✓	cost-diff	0	(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2160 binary64) (.f64 (.f64 x x) #s(literal 29/1814400 binary64))))))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2160 binary64) (.f64 (.f64 x x) #s(literal 29/1814400 binary64)))))))
✓	cost-diff	0	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2160 binary64) (.f64 (.f64 x x) #s(literal 29/1814400 binary64))))))) (.f64 x x))
✓	cost-diff	0	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2160 binary64) (.f64 (.f64 x x) #s(literal 29/1814400 binary64))))))) (.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))))))))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(.f64 (.f64 x (.f64 x x)) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64)))))
✓	cost-diff	128	(+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))))) (*.f64 x x))
✓	cost-diff	0	(.f64 x (.f64 x #s(literal 1/12 binary64)))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/12 binary64))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/12 binary64)))))
✓	cost-diff	0	(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/12 binary64))))) x)

Rules

4326×	`-lowering-.f32`
4326×	`-lowering-.f64`
2048×	`+-lowering-+.f64`
2048×	`+-lowering-+.f32`
1668×	`sum3-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	52	763
1	188	659
2	719	632
3	3299	628
4	7003	628
0	8101	628

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (* x (+ 1 (* x (* x 1/12)))) x)
(* x (+ 1 (* x (* x 1/12))))
x
(+ 1 (* x (* x 1/12)))
1
(* x (* x 1/12))
(* x 1/12)
1/12
(+ (* (* x (* x x)) (* x (+ 1/12 (* (* x x) 1/360)))) (* x x))
(* (* x (* x x)) (* x (+ 1/12 (* (* x x) 1/360))))
(* x (* x x))
x
(* x x)
(* x (+ 1/12 (* (* x x) 1/360)))
(+ 1/12 (* (* x x) 1/360))
1/12
(* (* x x) 1/360)
1/360
(/ (* (- 1 (* (* x (* x (* x x))) (+ 1/144 (* (* x x) (+ 1/2160 (* (* x x) 29/1814400)))))) (* x x)) (- 1 (* (* x x) (+ 1/12 (* x (* x (+ 1/360 (* x (* x 1/20160)))))))))
(* (- 1 (* (* x (* x (* x x))) (+ 1/144 (* (* x x) (+ 1/2160 (* (* x x) 29/1814400)))))) (* x x))
(- 1 (* (* x (* x (* x x))) (+ 1/144 (* (* x x) (+ 1/2160 (* (* x x) 29/1814400))))))
1
(* (* x (* x (* x x))) (+ 1/144 (* (* x x) (+ 1/2160 (* (* x x) 29/1814400)))))
(* x (* x (* x x)))
x
(* x (* x x))
(* x x)
(+ 1/144 (* (* x x) (+ 1/2160 (* (* x x) 29/1814400))))
1/144
(* (* x x) (+ 1/2160 (* (* x x) 29/1814400)))
(+ 1/2160 (* (* x x) 29/1814400))
1/2160
(* (* x x) 29/1814400)
29/1814400
(- 1 (* (* x x) (+ 1/12 (* x (* x (+ 1/360 (* x (* x 1/20160))))))))
(* (* x x) (+ 1/12 (* x (* x (+ 1/360 (* x (* x 1/20160)))))))
(+ 1/12 (* x (* x (+ 1/360 (* x (* x 1/20160))))))
1/12
(* x (* x (+ 1/360 (* x (* x 1/20160)))))
(* x (+ 1/360 (* x (* x 1/20160))))
(+ 1/360 (* x (* x 1/20160)))
1/360
(* x (* x 1/20160))
(* x 1/20160)
1/20160
(/ (* (- 1 (* (+ 1/12 (/ (* (* x x) (- 1/129600 (* (* x (* x (* x x))) 1/406425600))) (- 1/360 (* 1/20160 (* x x))))) (* (+ 1/12 (* x (* x (+ 1/360 (* x (* x 1/20160)))))) (* (* x x) (* x x))))) (* x x)) (- 1 (* (* x x) (+ 1/12 (* x (* x (+ 1/360 (* x (* x 1/20160)))))))))
(* (- 1 (* (+ 1/12 (/ (* (* x x) (- 1/129600 (* (* x (* x (* x x))) 1/406425600))) (- 1/360 (* 1/20160 (* x x))))) (* (+ 1/12 (* x (* x (+ 1/360 (* x (* x 1/20160)))))) (* (* x x) (* x x))))) (* x x))
(- 1 (* (+ 1/12 (/ (* (* x x) (- 1/129600 (* (* x (* x (* x x))) 1/406425600))) (- 1/360 (* 1/20160 (* x x))))) (* (+ 1/12 (* x (* x (+ 1/360 (* x (* x 1/20160)))))) (* (* x x) (* x x)))))
1
(* (+ 1/12 (/ (* (* x x) (- 1/129600 (* (* x (* x (* x x))) 1/406425600))) (- 1/360 (* 1/20160 (* x x))))) (* (+ 1/12 (* x (* x (+ 1/360 (* x (* x 1/20160)))))) (* (* x 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))))
(* (* x x) (- 1/129600 (* (* x (* x (* x x))) 1/406425600)))
(* x 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
(* (+ 1/12 (* x (* x (+ 1/360 (* x (* x 1/20160)))))) (* (* x x) (* x x)))
(+ 1/12 (* x (* x (+ 1/360 (* x (* x 1/20160))))))
(* x (* x (+ 1/360 (* x (* x 1/20160)))))
(* x (+ 1/360 (* x (* x 1/20160))))
(+ 1/360 (* x (* x 1/20160)))
(* x (* x 1/20160))
(* x 1/20160)
(* (* x x) (* x x))
(- 1 (* (* x x) (+ 1/12 (* x (* x (+ 1/360 (* x (* x 1/20160))))))))
(* (* x x) (+ 1/12 (* x (* x (+ 1/360 (* x (* x 1/20160)))))))

Outputs
(* (* x (+ 1 (* x (* x 1/12)))) x)
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (.f64 x x)))))
(* x (+ 1 (* x (* x 1/12))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (*.f64 x x))))
x
(+ 1 (* x (* x 1/12)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (.f64 x x)))
1
#s(literal 1 binary64)
(* x (* x 1/12))
(.f64 #s(literal 1/12 binary64) (.f64 x x))
(* x 1/12)
(*.f64 x #s(literal 1/12 binary64))
1/12
#s(literal 1/12 binary64)
(+ (* (* x (* x x)) (* x (+ 1/12 (* (* x x) 1/360)))) (* x x))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))
(* (* x (* x x)) (* x (+ 1/12 (* (* x x) 1/360))))
(.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))) (.f64 x (.f64 x (.f64 x x))))
(* x (* x x))
(.f64 x (.f64 x x))
x
(* x x)
(*.f64 x x)
(* x (+ 1/12 (* (* x x) 1/360)))
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal 1/360 binary64)))))
(+ 1/12 (* (* x x) 1/360))
(+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))
1/12
#s(literal 1/12 binary64)
(* (* x x) 1/360)
(.f64 x (.f64 x #s(literal 1/360 binary64)))
1/360
#s(literal 1/360 binary64)
(/ (* (- 1 (* (* x (* x (* x x))) (+ 1/144 (* (* x x) (+ 1/2160 (* (* x x) 29/1814400)))))) (* x x)) (- 1 (* (* x x) (+ 1/12 (* x (* x (+ 1/360 (* x (* x 1/20160)))))))))
(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (-.f64 #s(literal -1/144 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2160 binary64) (.f64 x (.f64 x #s(literal 29/1814400 binary64))))))))))) (+.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 (* (* x (* x (* x x))) (+ 1/144 (* (* x x) (+ 1/2160 (* (* x x) 29/1814400)))))) (* x x))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (-.f64 #s(literal -1/144 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2160 binary64) (.f64 x (.f64 x #s(literal 29/1814400 binary64)))))))))))
(- 1 (* (* x (* x (* x x))) (+ 1/144 (* (* x x) (+ 1/2160 (* (* x x) 29/1814400))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (-.f64 #s(literal -1/144 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2160 binary64) (.f64 x (.f64 x #s(literal 29/1814400 binary64))))))))))
1
#s(literal 1 binary64)
(* (* x (* x (* x x))) (+ 1/144 (* (* x x) (+ 1/2160 (* (* x x) 29/1814400)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2160 binary64) (.f64 x (.f64 x #s(literal 29/1814400 binary64)))))))
(* x (* x (* x x)))
(.f64 x (.f64 x (*.f64 x x)))
x
(* x (* x x))
(.f64 x (.f64 x x))
(* x x)
(*.f64 x x)
(+ 1/144 (* (* x x) (+ 1/2160 (* (* x x) 29/1814400))))
(+.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2160 binary64) (.f64 x (.f64 x #s(literal 29/1814400 binary64))))))
1/144
#s(literal 1/144 binary64)
(* (* x x) (+ 1/2160 (* (* x x) 29/1814400)))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2160 binary64) (.f64 x (.f64 x #s(literal 29/1814400 binary64)))))
(+ 1/2160 (* (* x x) 29/1814400))
(+.f64 #s(literal 1/2160 binary64) (.f64 x (.f64 x #s(literal 29/1814400 binary64))))
1/2160
#s(literal 1/2160 binary64)
(* (* x x) 29/1814400)
(.f64 x (.f64 x #s(literal 29/1814400 binary64)))
29/1814400
#s(literal 29/1814400 binary64)
(- 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))))))))
(* (* 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)))
(* x 1/20160)
(*.f64 x #s(literal 1/20160 binary64))
1/20160
#s(literal 1/20160 binary64)
(/ (* (- 1 (* (+ 1/12 (/ (* (* x x) (- 1/129600 (* (* x (* x (* x x))) 1/406425600))) (- 1/360 (* 1/20160 (* x x))))) (* (+ 1/12 (* x (* x (+ 1/360 (* x (* x 1/20160)))))) (* (* x x) (* x x))))) (* x x)) (- 1 (* (* x x) (+ 1/12 (* x (* x (+ 1/360 (* x (* x 1/20160)))))))))
(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64)))))) (.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal -1/12 binary64) (/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/406425600 binary64)))) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal -1/20160 binary64))))))))) (+.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 (* (+ 1/12 (/ (* (* x x) (- 1/129600 (* (* x (* x (* x x))) 1/406425600))) (- 1/360 (* 1/20160 (* x x))))) (* (+ 1/12 (* x (* x (+ 1/360 (* x (* x 1/20160)))))) (* (* x x) (* x x))))) (* x x))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64)))))) (.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal -1/12 binary64) (/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/406425600 binary64)))) (+.f64 #s(literal 1/360 binary64) (.f64 (*.f64 x x) #s(literal -1/20160 binary64)))))))))
(- 1 (* (+ 1/12 (/ (* (* x x) (- 1/129600 (* (* x (* x (* x x))) 1/406425600))) (- 1/360 (* 1/20160 (* x x))))) (* (+ 1/12 (* x (* x (+ 1/360 (* x (* x 1/20160)))))) (* (* x x) (* x x)))))
(+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64)))))) (.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal -1/12 binary64) (/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/406425600 binary64)))) (+.f64 #s(literal 1/360 binary64) (.f64 (*.f64 x x) #s(literal -1/20160 binary64))))))))
1
#s(literal 1 binary64)
(* (+ 1/12 (/ (* (* x x) (- 1/129600 (* (* x (* x (* x x))) 1/406425600))) (- 1/360 (* 1/20160 (* x x))))) (* (+ 1/12 (* x (* x (+ 1/360 (* x (* x 1/20160)))))) (* (* x x) (* x x))))
(.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/406425600 binary64)))) (+.f64 #s(literal 1/360 binary64) (.f64 (*.f64 x x) #s(literal -1/20160 binary64))))))))
(+ 1/12 (/ (* (* x x) (- 1/129600 (* (* x (* x (* x x))) 1/406425600))) (- 1/360 (* 1/20160 (* x x)))))
(+.f64 #s(literal 1/12 binary64) (/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/406425600 binary64)))) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal -1/20160 binary64)))))
1/12
#s(literal 1/12 binary64)
(/ (* (* x x) (- 1/129600 (* (* x (* x (* x x))) 1/406425600))) (- 1/360 (* 1/20160 (* x x))))
(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/406425600 binary64)))) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal -1/20160 binary64))))
(* (* 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)
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 x (.f64 x #s(literal 1/20160 binary64)))
1/20160
#s(literal 1/20160 binary64)
(* (+ 1/12 (* x (* x (+ 1/360 (* x (* x 1/20160)))))) (* (* x x) (* x x)))
(.f64 (.f64 x (.f64 x x)) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))))
(+ 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))))))
(* 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))))
(* x (* x 1/20160))
(.f64 x (.f64 x #s(literal 1/20160 binary64)))
(* x 1/20160)
(*.f64 x #s(literal 1/20160 binary64))
(* (* x x) (* x x))
(.f64 x (.f64 x (*.f64 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))))))))
(* (* 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)))))))

localize329.0ms (3.2%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))
✓	accuracy	99.8%	(.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))))
✓	accuracy	99.6%	(.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (*.f64 x #s(literal 1/20160 binary64)))))
✓	accuracy	99.6%	(/.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	99.8%	(.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))
✓	accuracy	99.8%	(.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))))
✓	accuracy	99.7%	(.f64 (.f64 x x) (+.f64 #s(literal 1/2160 binary64) (.f64 (.f64 x x) #s(literal 29/1814400 binary64))))
✓	accuracy	99.6%	(.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (*.f64 x #s(literal 1/20160 binary64)))))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.8%	(.f64 (.f64 x (.f64 x x)) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64)))))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 1/360 binary64))
✓	accuracy	99.5%	(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (*.f64 x x) #s(literal 1/360 binary64))))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/12 binary64)))))
✓	accuracy	100.0%	(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/12 binary64))))) x)
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 1/12 binary64)))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/12 binary64))

Results

189.0ms

256×

valid

Compiler

Compiled 818 to 53 computations (93.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 116.0ms

ival-mult: 53.0ms (45.7% of total)

...c/correct-round.rkt:119:19: 36.0ms (31% of total)

ival-add: 16.0ms (13.8% of total)

ival-sub: 6.0ms (5.2% of total)

ival-div: 5.0ms (4.3% of total)

const: 0.0ms (0% of total)

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

series11.0ms (0.1%)

Counts

24 → 288

Calls

Call 1

Inputs
#<alt (* (* x (+ 1 (* x (* x 1/12)))) x)>
#<alt (* x (+ 1 (* x (* x 1/12))))>
#<alt (+ 1 (* x (* x 1/12)))>
#<alt (* x (* x 1/12))>
#<alt (+ (* (* x (* x x)) (* x (+ 1/12 (* (* x x) 1/360)))) (* x x))>
#<alt (* (* x (* x x)) (* x (+ 1/12 (* (* x x) 1/360))))>
#<alt (* x (* x x))>
#<alt (* x x)>
#<alt (/ (* (- 1 (* (* x (* x (* x x))) (+ 1/144 (* (* x x) (+ 1/2160 (* (* x x) 29/1814400)))))) (* x x)) (- 1 (* (* x x) (+ 1/12 (* x (* x (+ 1/360 (* x (* x 1/20160)))))))))>
#<alt (* (- 1 (* (* x (* x (* x x))) (+ 1/144 (* (* x x) (+ 1/2160 (* (* x x) 29/1814400)))))) (* x x))>
#<alt (- 1 (* (* x (* x (* x x))) (+ 1/144 (* (* x x) (+ 1/2160 (* (* x x) 29/1814400))))))>
#<alt (* (* x (* x (* x x))) (+ 1/144 (* (* x x) (+ 1/2160 (* (* x x) 29/1814400)))))>
#<alt (/ (* (- 1 (* (+ 1/12 (/ (* (* x x) (- 1/129600 (* (* x (* x (* x x))) 1/406425600))) (- 1/360 (* 1/20160 (* x x))))) (* (+ 1/12 (* x (* x (+ 1/360 (* x (* x 1/20160)))))) (* (* x x) (* x x))))) (* x x)) (- 1 (* (* x x) (+ 1/12 (* x (* x (+ 1/360 (* x (* x 1/20160)))))))))>
#<alt (* (- 1 (* (+ 1/12 (/ (* (* x x) (- 1/129600 (* (* x (* x (* x x))) 1/406425600))) (- 1/360 (* 1/20160 (* x x))))) (* (+ 1/12 (* x (* x (+ 1/360 (* x (* x 1/20160)))))) (* (* x x) (* x x))))) (* x x))>
#<alt (- 1 (* (+ 1/12 (/ (* (* x x) (- 1/129600 (* (* x (* x (* x x))) 1/406425600))) (- 1/360 (* 1/20160 (* x x))))) (* (+ 1/12 (* x (* x (+ 1/360 (* x (* x 1/20160)))))) (* (* x x) (* x x)))))>
#<alt (* (+ 1/12 (/ (* (* x x) (- 1/129600 (* (* x (* x (* x x))) 1/406425600))) (- 1/360 (* 1/20160 (* x x))))) (* (+ 1/12 (* x (* x (+ 1/360 (* x (* x 1/20160)))))) (* (* x x) (* x x))))>
#<alt (* x 1/12)>
#<alt (* x (+ 1/12 (* (* x x) 1/360)))>
#<alt (* (* x x) 1/360)>
#<alt (* x (+ 1/360 (* x (* x 1/20160))))>
#<alt (* (* x x) (+ 1/2160 (* (* x x) 29/1814400)))>
#<alt (* (* x x) (+ 1/12 (* x (* x (+ 1/360 (* x (* x 1/20160)))))))>
#<alt (* x (* x (+ 1/360 (* x (* x 1/20160)))))>
#<alt (/ (* (* x x) (- 1/129600 (* (* x (* x (* x x))) 1/406425600))) (- 1/360 (* 1/20160 (* x x))))>

Outputs
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* 1/12 (pow x 4))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* 1/12 (pow x 4))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt x>
#<alt (* x (+ 1 (* 1/12 (pow x 2))))>
#<alt (* x (+ 1 (* 1/12 (pow x 2))))>
#<alt (* x (+ 1 (* 1/12 (pow x 2))))>
#<alt (* 1/12 (pow x 3))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* 1/12 (pow x 3))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt 1>
#<alt (+ 1 (* 1/12 (pow x 2)))>
#<alt (+ 1 (* 1/12 (pow x 2)))>
#<alt (+ 1 (* 1/12 (pow x 2)))>
#<alt (* 1/12 (pow x 2))>
#<alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* 1/12 (pow x 2))>
#<alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/12 (pow x 4))>
#<alt (* (pow x 4) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (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 (* 29/90 (pow x 4))>
#<alt (* (pow x 4) (- 29/90 (* 392/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 29/90 (/ 3892/45 (pow x 4))) (* 392/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 29/90 (+ (* 732928/45 (/ 1 (pow x 6))) (/ 3892/45 (pow x 4)))) (* 392/45 (/ 1 (pow x 2)))))>
#<alt (* 29/90 (pow x 4))>
#<alt (* (pow x 4) (- 29/90 (* 392/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 29/90 (/ 3892/45 (pow x 4))) (* 392/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 29/90 (+ (* 732928/45 (/ 1 (pow x 6))) (/ 3892/45 (pow x 4)))) (* 392/45 (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1/144 (pow x 4))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 4) (- (* -1/2160 (pow x 2)) 1/144))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 4) (- (* (pow x 2) (- (* -29/1814400 (pow x 2)) 1/2160)) 1/144))))>
#<alt (* -29/1814400 (pow x 10))>
#<alt (* -1 (* (pow x 10) (+ 29/1814400 (* 1/2160 (/ 1 (pow x 2))))))>
#<alt (* (pow x 10) (- (* -1 (/ (+ 1/2160 (* 1/144 (/ 1 (pow x 2)))) (pow x 2))) 29/1814400))>
#<alt (* (pow x 10) (- (/ 1 (pow x 8)) (+ 29/1814400 (+ (/ 1/144 (pow x 4)) (* 1/2160 (/ 1 (pow x 2)))))))>
#<alt (* -29/1814400 (pow x 10))>
#<alt (* -1 (* (pow x 10) (+ 29/1814400 (* 1/2160 (/ 1 (pow x 2))))))>
#<alt (* (pow x 10) (- (* -1 (/ (+ 1/2160 (* 1/144 (/ 1 (pow x 2)))) (pow x 2))) 29/1814400))>
#<alt (* (pow x 10) (- (/ 1 (pow x 8)) (+ 29/1814400 (+ (/ 1/144 (pow x 4)) (* 1/2160 (/ 1 (pow x 2)))))))>
#<alt 1>
#<alt (+ 1 (* -1/144 (pow x 4)))>
#<alt (+ 1 (* (pow x 4) (- (* -1/2160 (pow x 2)) 1/144)))>
#<alt (+ 1 (* (pow x 4) (- (* (pow x 2) (- (* -29/1814400 (pow x 2)) 1/2160)) 1/144)))>
#<alt (* -29/1814400 (pow x 8))>
#<alt (* -1 (* (pow x 8) (+ 29/1814400 (* 1/2160 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (- (* -1 (/ (+ 1/2160 (* 1/144 (/ 1 (pow x 2)))) (pow x 2))) 29/1814400))>
#<alt (* (pow x 8) (- (/ 1 (pow x 8)) (+ 29/1814400 (+ (/ 1/144 (pow x 4)) (* 1/2160 (/ 1 (pow x 2)))))))>
#<alt (* -29/1814400 (pow x 8))>
#<alt (* -1 (* (pow x 8) (+ 29/1814400 (* 1/2160 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (- (* -1 (/ (+ 1/2160 (* 1/144 (/ 1 (pow x 2)))) (pow x 2))) 29/1814400))>
#<alt (* (pow x 8) (- (/ 1 (pow x 8)) (+ 29/1814400 (+ (/ 1/144 (pow x 4)) (* 1/2160 (/ 1 (pow x 2)))))))>
#<alt (* 1/144 (pow x 4))>
#<alt (* (pow x 4) (+ 1/144 (* 1/2160 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/144 (* (pow x 2) (+ 1/2160 (* 29/1814400 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/144 (* (pow x 2) (+ 1/2160 (* 29/1814400 (pow x 2))))))>
#<alt (* 29/1814400 (pow x 8))>
#<alt (* (pow x 8) (+ 29/1814400 (* 1/2160 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 29/1814400 (+ (/ 1/144 (pow x 4)) (* 1/2160 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 29/1814400 (+ (/ 1/144 (pow x 4)) (* 1/2160 (/ 1 (pow x 2))))))>
#<alt (* 29/1814400 (pow x 8))>
#<alt (* (pow x 8) (+ 29/1814400 (* 1/2160 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 29/1814400 (+ (/ 1/144 (pow x 4)) (* 1/2160 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 29/1814400 (+ (/ 1/144 (pow x 4)) (* 1/2160 (/ 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) (+ 1 (* -1/144 (pow x 4))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 4) (- (* -1/2160 (pow x 2)) 1/144))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 4) (- (* (pow x 2) (- (* -29/1814400 (pow x 2)) 1/2160)) 1/144))))>
#<alt (* -1/406425600 (pow x 14))>
#<alt (* -1 (* (pow x 14) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2))))))>
#<alt (* (pow x 14) (- (* -1 (/ (+ 1/3628800 (* 29/1814400 (/ 1 (pow x 2)))) (pow x 2))) 1/406425600))>
#<alt (* (pow x 14) (- (* -1 (/ (+ 29/1814400 (* 1/2160 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2))))))>
#<alt (* -1/406425600 (pow x 14))>
#<alt (* -1 (* (pow x 14) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2))))))>
#<alt (* (pow x 14) (- (* -1 (/ (+ 1/3628800 (* 29/1814400 (/ 1 (pow x 2)))) (pow x 2))) 1/406425600))>
#<alt (* (pow x 14) (- (* -1 (/ (+ 29/1814400 (* 1/2160 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2))))))>
#<alt 1>
#<alt (+ 1 (* -1/144 (pow x 4)))>
#<alt (+ 1 (* (pow x 4) (- (* -1/2160 (pow x 2)) 1/144)))>
#<alt (+ 1 (* (pow x 4) (- (* (pow x 2) (- (* -29/1814400 (pow x 2)) 1/2160)) 1/144)))>
#<alt (* -1/406425600 (pow x 12))>
#<alt (* -1 (* (pow x 12) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2))))))>
#<alt (* (pow x 12) (- (* -1 (/ (+ 1/3628800 (* 29/1814400 (/ 1 (pow x 2)))) (pow x 2))) 1/406425600))>
#<alt (* (pow x 12) (- (* -1 (/ (+ 29/1814400 (* 1/2160 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2))))))>
#<alt (* -1/406425600 (pow x 12))>
#<alt (* -1 (* (pow x 12) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2))))))>
#<alt (* (pow x 12) (- (* -1 (/ (+ 1/3628800 (* 29/1814400 (/ 1 (pow x 2)))) (pow x 2))) 1/406425600))>
#<alt (* (pow x 12) (- (* -1 (/ (+ 29/1814400 (* 1/2160 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2))))))>
#<alt (* 1/144 (pow x 4))>
#<alt (* (pow x 4) (+ 1/144 (* 1/2160 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/144 (* (pow x 2) (+ 1/2160 (* 29/1814400 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/144 (* (pow x 2) (+ 1/2160 (* (pow x 2) (+ 29/1814400 (* 1/3628800 (pow x 2))))))))>
#<alt (* 1/406425600 (pow x 12))>
#<alt (* (pow x 12) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2)))))>
#<alt (* (pow x 12) (+ 1/406425600 (+ (/ 29/1814400 (pow x 4)) (* 1/3628800 (/ 1 (pow x 2))))))>
#<alt (* (pow x 12) (+ 1/406425600 (+ (/ 29/1814400 (pow x 4)) (+ (* 1/3628800 (/ 1 (pow x 2))) (* 1/2160 (/ 1 (pow x 6)))))))>
#<alt (* 1/406425600 (pow x 12))>
#<alt (* (pow x 12) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2)))))>
#<alt (* (pow x 12) (+ 1/406425600 (+ (/ 29/1814400 (pow x 4)) (* 1/3628800 (/ 1 (pow x 2))))))>
#<alt (* (pow x 12) (+ 1/406425600 (+ (/ 29/1814400 (pow x 4)) (+ (* 1/3628800 (/ 1 (pow x 2))) (* 1/2160 (/ 1 (pow x 6)))))))>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* 1/360 (pow x 3))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* 1/360 (pow x 3))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<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 (* 1/2160 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2160 (* 29/1814400 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2160 (* 29/1814400 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2160 (* 29/1814400 (pow x 2))))>
#<alt (* 29/1814400 (pow x 4))>
#<alt (* (pow x 4) (+ 29/1814400 (* 1/2160 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 29/1814400 (* 1/2160 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 29/1814400 (* 1/2160 (/ 1 (pow x 2)))))>
#<alt (* 29/1814400 (pow x 4))>
#<alt (* (pow x 4) (+ 29/1814400 (* 1/2160 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 29/1814400 (* 1/2160 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 29/1814400 (* 1/2160 (/ 1 (pow x 2)))))>
#<alt (* 1/12 (pow x 2))>
#<alt (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (* (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 (* 1/360 (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
1.0ms	x	@	inf	(* (* x (* x (* x x))) (+ 1/144 (* (* x x) (+ 1/2160 (* (* x x) 29/1814400)))))
1.0ms	x	@	inf	(/ (* (- 1 (* (* x (* x (* x x))) (+ 1/144 (* (* x x) (+ 1/2160 (* (* x x) 29/1814400)))))) (* x x)) (- 1 (* (* x x) (+ 1/12 (* x (* x (+ 1/360 (* x (* x 1/20160)))))))))
1.0ms	x	@	inf	(/ (* (- 1 (* (+ 1/12 (/ (* (* x x) (- 1/129600 (* (* x (* x (* x x))) 1/406425600))) (- 1/360 (* 1/20160 (* x x))))) (* (+ 1/12 (* x (* x (+ 1/360 (* x (* x 1/20160)))))) (* (* x x) (* x x))))) (* x x)) (- 1 (* (* x x) (+ 1/12 (* x (* x (+ 1/360 (* x (* x 1/20160)))))))))
0.0ms	x	@	inf	(/ (* (* x x) (- 1/129600 (* (* x (* x (* x x))) 1/406425600))) (- 1/360 (* 1/20160 (* x x))))
0.0ms	x	@	0	(/ (* (* x x) (- 1/129600 (* (* x (* x (* x x))) 1/406425600))) (- 1/360 (* 1/20160 (* x x))))

rewrite350.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

4380×	`-lowering-.f32`
4380×	`-lowering-.f64`
1832×	`pow-lowering-pow.f64`
1832×	`pow-lowering-pow.f32`
1760×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	52	459
1	368	297
2	3526	291
0	8246	291

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 411

Calls

Call 1

Inputs
(* (* x (+ 1 (* x (* x 1/12)))) x)
(* x (+ 1 (* x (* x 1/12))))
(+ 1 (* x (* x 1/12)))
(* x (* x 1/12))
(+ (* (* x (* x x)) (* x (+ 1/12 (* (* x x) 1/360)))) (* x x))
(* (* x (* x x)) (* x (+ 1/12 (* (* x x) 1/360))))
(* x (* x x))
(* x x)
(/ (* (- 1 (* (* x (* x (* x x))) (+ 1/144 (* (* x x) (+ 1/2160 (* (* x x) 29/1814400)))))) (* x x)) (- 1 (* (* x x) (+ 1/12 (* x (* x (+ 1/360 (* x (* x 1/20160)))))))))
(* (- 1 (* (* x (* x (* x x))) (+ 1/144 (* (* x x) (+ 1/2160 (* (* x x) 29/1814400)))))) (* x x))
(- 1 (* (* x (* x (* x x))) (+ 1/144 (* (* x x) (+ 1/2160 (* (* x x) 29/1814400))))))
(* (* x (* x (* x x))) (+ 1/144 (* (* x x) (+ 1/2160 (* (* x x) 29/1814400)))))
(/ (* (- 1 (* (+ 1/12 (/ (* (* x x) (- 1/129600 (* (* x (* x (* x x))) 1/406425600))) (- 1/360 (* 1/20160 (* x x))))) (* (+ 1/12 (* x (* x (+ 1/360 (* x (* x 1/20160)))))) (* (* x x) (* x x))))) (* x x)) (- 1 (* (* x x) (+ 1/12 (* x (* x (+ 1/360 (* x (* x 1/20160)))))))))
(* (- 1 (* (+ 1/12 (/ (* (* x x) (- 1/129600 (* (* x (* x (* x x))) 1/406425600))) (- 1/360 (* 1/20160 (* x x))))) (* (+ 1/12 (* x (* x (+ 1/360 (* x (* x 1/20160)))))) (* (* x x) (* x x))))) (* x x))
(- 1 (* (+ 1/12 (/ (* (* x x) (- 1/129600 (* (* x (* x (* x x))) 1/406425600))) (- 1/360 (* 1/20160 (* x x))))) (* (+ 1/12 (* x (* x (+ 1/360 (* x (* x 1/20160)))))) (* (* x 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 (+ 1/360 (* x (* x 1/20160)))))) (* (* x x) (* x x))))
(* x 1/12)
(* x (+ 1/12 (* (* x x) 1/360)))
(* (* x x) 1/360)
(* x (+ 1/360 (* x (* x 1/20160))))
(* (* x x) (+ 1/2160 (* (* x x) 29/1814400)))
(* (* x x) (+ 1/12 (* x (* x (+ 1/360 (* x (* x 1/20160)))))))
(* x (* x (+ 1/360 (* x (* x 1/20160)))))
(/ (* (* x x) (- 1/129600 (* (* x (* x (* x x))) 1/406425600))) (- 1/360 (* 1/20160 (* x x))))

Outputs
(+.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/12 binary64))))))
(+.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (*.f64 x #s(literal 1/12 binary64)))) x))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/12 binary64))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/12 binary64)))) (.f64 x x))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/12 binary64))))) x)
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/12 binary64)))))
(+.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/12 binary64)))))
(+.f64 (.f64 x (.f64 x (*.f64 x #s(literal 1/12 binary64)))) x)
(fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x #s(literal 1/12 binary64)))))
(fma.f64 #s(literal 1 binary64) x (.f64 x (.f64 x (*.f64 x #s(literal 1/12 binary64)))))
(/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/1728 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/12 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal 1/12 binary64))))) (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/12 binary64))))))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/12 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal 1/12 binary64)))))) (-.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/12 binary64))))))
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/1728 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) #s(literal 1 binary64)))))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/144 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/12 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/1728 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) #s(literal 1 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/144 binary64)))) x) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/12 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/12 binary64)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/12 binary64)))) x)
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/12 binary64))))
(+.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/12 binary64))))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/144 binary64))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/12 binary64))))))
(fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x #s(literal 1/12 binary64)) x #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/1728 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/12 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/144 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/1728 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal 1/12 binary64))) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/1728 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/144 binary64))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/12 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/144 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/12 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/1728 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal 1/12 binary64))) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/144 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/12 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/144 binary64))) #s(literal 1 binary64)) (-.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/12 binary64))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/12 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/144 binary64))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/12 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/12 binary64))))))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/1728 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/12 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/144 binary64))))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/1728 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) #s(literal 1 binary64))))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/144 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/12 binary64))))))
(.f64 x (.f64 x #s(literal 1/12 binary64)))
(.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/12 binary64))))
(.f64 #s(literal 1/12 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/12 binary64)) x)
(.f64 (.f64 x (*.f64 x #s(literal 1/12 binary64))) #s(literal 1 binary64))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/12 binary64))) x)
(+.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (*.f64 x x) #s(literal 1/360 binary64))))))
(+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))))) (*.f64 x x))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x 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 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64)))))) (.f64 x (-.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64)))) x))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (-.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64)))) x))))
(fma.f64 x x (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))))))
(fma.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64)))) (.f64 x x))
(fma.f64 (.f64 x (.f64 x x)) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64)))) (.f64 x x))
(fma.f64 (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64)))) (.f64 x (.f64 x x)) (.f64 x x))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))) (.f64 x x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 (.f64 x 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 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64)))))) (.f64 (.f64 x x) (-.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64)))))))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))))))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (-.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64)))) x)) (.f64 (.f64 x (+.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64)))))) (.f64 x (-.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/12 binary64) (.f64 (*.f64 x x) #s(literal 1/360 binary64)))) x)))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))))))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (.f64 (.f64 (.f64 x 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 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64)))))) (.f64 (.f64 x x) (-.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (*.f64 x x) #s(literal 1/360 binary64)))))))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))))))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 (.f64 (.f64 (.f64 x 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 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64)))))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (*.f64 x x) #s(literal 1/360 binary64)))))))))
(/.f64 (.f64 (.f64 x (+.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64)))))) (.f64 x (-.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64)))) x))) (.f64 x (-.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/12 binary64) (.f64 (*.f64 x x) #s(literal 1/360 binary64)))) x)))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))))))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (neg.f64 (+.f64 (.f64 (.f64 (.f64 x 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 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64)))))) (.f64 (.f64 x x) (-.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (*.f64 x x) #s(literal 1/360 binary64))))))))))
(/.f64 (neg.f64 (.f64 (.f64 x (+.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64)))))) (.f64 x (-.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64)))) x)))) (neg.f64 (.f64 x (-.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/12 binary64) (.f64 (*.f64 x x) #s(literal 1/360 binary64)))) x))))
(/.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x 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 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))))))) (-.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (*.f64 x x) #s(literal 1/360 binary64)))))))
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(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/406425600 binary64)))) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal -1/20160 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/406425600 binary64))) (-.f64 #s(literal 0 binary64) (.f64 x x))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal -1/20160 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64)))))))))
(/.f64 (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/406425600 binary64)))) #s(literal 1 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 (*.f64 x x) #s(literal -1/20160 binary64))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/406425600 binary64))) (-.f64 #s(literal 0 binary64) (.f64 x x)))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal -1/20160 binary64))))))
(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/46656000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8193540096000 binary64))))) (+.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/20160 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal 1/20160 binary64))) #s(literal 1/360 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))
(.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/406425600 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/360 binary64) (.f64 (*.f64 x x) #s(literal -1/20160 binary64))))))
(.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64)))))
(.f64 (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64)))) (.f64 x x))
(.f64 (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))) x)
(.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/406425600 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/360 binary64) (.f64 (*.f64 x x) #s(literal -1/20160 binary64)))))
(.f64 (.f64 (+.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/406425600 binary64))) (-.f64 #s(literal 0 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/360 binary64) (.f64 (*.f64 x x) #s(literal -1/20160 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal -1/20160 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 binary64) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal -1/20160 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -1/406425600 binary64))))) #s(literal -1 binary64)))
(.f64 (+.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 binary64) (+.f64 #s(literal 1/360 binary64) (.f64 (*.f64 x x) #s(literal -1/20160 binary64))))))
(.f64 (+.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 1/360 binary64) (.f64 (.f64 x x) #s(literal -1/20160 binary64)))))
(.f64 (/.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 1/46656000 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 x (.f64 x #s(literal 1/20160 binary64))) (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64)))))))
(.f64 (/.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 1/129600 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/406425600 binary64)))) (+.f64 #s(literal 1/360 binary64) (.f64 x (*.f64 x #s(literal 1/20160 binary64)))))
(+.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/20160 binary64)))))
(+.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/20160 binary64)))))
(+.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) (.f64 (.f64 (.f64 x x) (.f64 x #s(literal 1/20160 binary64))) x))
(+.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) (.f64 (.f64 x (.f64 x #s(literal 1/20160 binary64))) (.f64 x x)))
(+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/20160 binary64)))) (.f64 (.f64 x x) #s(literal 1/360 binary64)))
(+.f64 (.f64 (.f64 x (.f64 x #s(literal 1/20160 binary64))) (.f64 x x)) (.f64 (.f64 x x) #s(literal 1/360 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))) #s(literal -1 binary64)))
(neg.f64 (/.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 0 binary64) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal -1/20160 binary64))))))
(neg.f64 (/.f64 (.f64 (+.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/406425600 binary64))) (-.f64 #s(literal 0 binary64) (.f64 x x))) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal -1/20160 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))) #s(literal 1 binary64)))
(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/406425600 binary64)))) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal -1/20160 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/406425600 binary64))) (-.f64 #s(literal 0 binary64) (.f64 x x))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal -1/20160 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64)))))))))
(/.f64 (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/406425600 binary64)))) #s(literal 1 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 (*.f64 x x) #s(literal -1/20160 binary64))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/406425600 binary64))) (-.f64 #s(literal 0 binary64) (.f64 x x)))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal -1/20160 binary64))))))
(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/46656000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8193540096000 binary64))))) (+.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/20160 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal 1/20160 binary64))) #s(literal 1/360 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))
(.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/406425600 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/360 binary64) (.f64 (*.f64 x x) #s(literal -1/20160 binary64))))))
(.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64)))))
(.f64 (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64)))) (.f64 x x))
(.f64 (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))) x)
(.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/406425600 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/360 binary64) (.f64 (*.f64 x x) #s(literal -1/20160 binary64)))))
(.f64 (.f64 (+.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/406425600 binary64))) (-.f64 #s(literal 0 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/360 binary64) (.f64 (*.f64 x x) #s(literal -1/20160 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal -1/20160 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 binary64) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal -1/20160 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -1/406425600 binary64))))) #s(literal -1 binary64)))
(.f64 (+.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 binary64) (+.f64 #s(literal 1/360 binary64) (.f64 (*.f64 x x) #s(literal -1/20160 binary64))))))
(.f64 (+.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 1/360 binary64) (.f64 (.f64 x x) #s(literal -1/20160 binary64)))))
(.f64 (/.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 1/46656000 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 x (.f64 x #s(literal 1/20160 binary64))) (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64)))))))
(.f64 (/.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 1/129600 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/406425600 binary64)))) (+.f64 #s(literal 1/360 binary64) (.f64 x (*.f64 x #s(literal 1/20160 binary64)))))

simplify273.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

3504×	`-lowering-.f32`
3504×	`-lowering-.f64`
2654×	`+-lowering-+.f64`
2654×	`+-lowering-+.f32`
1900×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	193	2732
1	636	2538
2	1943	2496
3	5750	2478
0	8802	2478

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

Inputs
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* 1/12 (pow x 2))))
(* 1/12 (pow x 3))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* 1/12 (pow x 3))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
1
(+ 1 (* 1/12 (pow x 2)))
(+ 1 (* 1/12 (pow x 2)))
(+ 1 (* 1/12 (pow x 2)))
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (* 1/360 (pow x 2))))
(* (pow x 4) (+ 1/12 (* 1/360 (pow x 2))))
(* (pow x 4) (+ 1/12 (* 1/360 (pow x 2))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(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))))))))
(* 29/90 (pow x 4))
(* (pow x 4) (- 29/90 (* 392/45 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 29/90 (/ 3892/45 (pow x 4))) (* 392/45 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 29/90 (+ (* 732928/45 (/ 1 (pow x 6))) (/ 3892/45 (pow x 4)))) (* 392/45 (/ 1 (pow x 2)))))
(* 29/90 (pow x 4))
(* (pow x 4) (- 29/90 (* 392/45 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 29/90 (/ 3892/45 (pow x 4))) (* 392/45 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 29/90 (+ (* 732928/45 (/ 1 (pow x 6))) (/ 3892/45 (pow x 4)))) (* 392/45 (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1/144 (pow x 4))))
(* (pow x 2) (+ 1 (* (pow x 4) (- (* -1/2160 (pow x 2)) 1/144))))
(* (pow x 2) (+ 1 (* (pow x 4) (- (* (pow x 2) (- (* -29/1814400 (pow x 2)) 1/2160)) 1/144))))
(* -29/1814400 (pow x 10))
(* -1 (* (pow x 10) (+ 29/1814400 (* 1/2160 (/ 1 (pow x 2))))))
(* (pow x 10) (- (* -1 (/ (+ 1/2160 (* 1/144 (/ 1 (pow x 2)))) (pow x 2))) 29/1814400))
(* (pow x 10) (- (/ 1 (pow x 8)) (+ 29/1814400 (+ (/ 1/144 (pow x 4)) (* 1/2160 (/ 1 (pow x 2)))))))
(* -29/1814400 (pow x 10))
(* -1 (* (pow x 10) (+ 29/1814400 (* 1/2160 (/ 1 (pow x 2))))))
(* (pow x 10) (- (* -1 (/ (+ 1/2160 (* 1/144 (/ 1 (pow x 2)))) (pow x 2))) 29/1814400))
(* (pow x 10) (- (/ 1 (pow x 8)) (+ 29/1814400 (+ (/ 1/144 (pow x 4)) (* 1/2160 (/ 1 (pow x 2)))))))
1
(+ 1 (* -1/144 (pow x 4)))
(+ 1 (* (pow x 4) (- (* -1/2160 (pow x 2)) 1/144)))
(+ 1 (* (pow x 4) (- (* (pow x 2) (- (* -29/1814400 (pow x 2)) 1/2160)) 1/144)))
(* -29/1814400 (pow x 8))
(* -1 (* (pow x 8) (+ 29/1814400 (* 1/2160 (/ 1 (pow x 2))))))
(* (pow x 8) (- (* -1 (/ (+ 1/2160 (* 1/144 (/ 1 (pow x 2)))) (pow x 2))) 29/1814400))
(* (pow x 8) (- (/ 1 (pow x 8)) (+ 29/1814400 (+ (/ 1/144 (pow x 4)) (* 1/2160 (/ 1 (pow x 2)))))))
(* -29/1814400 (pow x 8))
(* -1 (* (pow x 8) (+ 29/1814400 (* 1/2160 (/ 1 (pow x 2))))))
(* (pow x 8) (- (* -1 (/ (+ 1/2160 (* 1/144 (/ 1 (pow x 2)))) (pow x 2))) 29/1814400))
(* (pow x 8) (- (/ 1 (pow x 8)) (+ 29/1814400 (+ (/ 1/144 (pow x 4)) (* 1/2160 (/ 1 (pow x 2)))))))
(* 1/144 (pow x 4))
(* (pow x 4) (+ 1/144 (* 1/2160 (pow x 2))))
(* (pow x 4) (+ 1/144 (* (pow x 2) (+ 1/2160 (* 29/1814400 (pow x 2))))))
(* (pow x 4) (+ 1/144 (* (pow x 2) (+ 1/2160 (* 29/1814400 (pow x 2))))))
(* 29/1814400 (pow x 8))
(* (pow x 8) (+ 29/1814400 (* 1/2160 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 29/1814400 (+ (/ 1/144 (pow x 4)) (* 1/2160 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 29/1814400 (+ (/ 1/144 (pow x 4)) (* 1/2160 (/ 1 (pow x 2))))))
(* 29/1814400 (pow x 8))
(* (pow x 8) (+ 29/1814400 (* 1/2160 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 29/1814400 (+ (/ 1/144 (pow x 4)) (* 1/2160 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 29/1814400 (+ (/ 1/144 (pow x 4)) (* 1/2160 (/ 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) (+ 1 (* -1/144 (pow x 4))))
(* (pow x 2) (+ 1 (* (pow x 4) (- (* -1/2160 (pow x 2)) 1/144))))
(* (pow x 2) (+ 1 (* (pow x 4) (- (* (pow x 2) (- (* -29/1814400 (pow x 2)) 1/2160)) 1/144))))
(* -1/406425600 (pow x 14))
(* -1 (* (pow x 14) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2))))))
(* (pow x 14) (- (* -1 (/ (+ 1/3628800 (* 29/1814400 (/ 1 (pow x 2)))) (pow x 2))) 1/406425600))
(* (pow x 14) (- (* -1 (/ (+ 29/1814400 (* 1/2160 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2))))))
(* -1/406425600 (pow x 14))
(* -1 (* (pow x 14) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2))))))
(* (pow x 14) (- (* -1 (/ (+ 1/3628800 (* 29/1814400 (/ 1 (pow x 2)))) (pow x 2))) 1/406425600))
(* (pow x 14) (- (* -1 (/ (+ 29/1814400 (* 1/2160 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2))))))
1
(+ 1 (* -1/144 (pow x 4)))
(+ 1 (* (pow x 4) (- (* -1/2160 (pow x 2)) 1/144)))
(+ 1 (* (pow x 4) (- (* (pow x 2) (- (* -29/1814400 (pow x 2)) 1/2160)) 1/144)))
(* -1/406425600 (pow x 12))
(* -1 (* (pow x 12) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2))))))
(* (pow x 12) (- (* -1 (/ (+ 1/3628800 (* 29/1814400 (/ 1 (pow x 2)))) (pow x 2))) 1/406425600))
(* (pow x 12) (- (* -1 (/ (+ 29/1814400 (* 1/2160 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2))))))
(* -1/406425600 (pow x 12))
(* -1 (* (pow x 12) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2))))))
(* (pow x 12) (- (* -1 (/ (+ 1/3628800 (* 29/1814400 (/ 1 (pow x 2)))) (pow x 2))) 1/406425600))
(* (pow x 12) (- (* -1 (/ (+ 29/1814400 (* 1/2160 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2))))))
(* 1/144 (pow x 4))
(* (pow x 4) (+ 1/144 (* 1/2160 (pow x 2))))
(* (pow x 4) (+ 1/144 (* (pow x 2) (+ 1/2160 (* 29/1814400 (pow x 2))))))
(* (pow x 4) (+ 1/144 (* (pow x 2) (+ 1/2160 (* (pow x 2) (+ 29/1814400 (* 1/3628800 (pow x 2))))))))
(* 1/406425600 (pow x 12))
(* (pow x 12) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2)))))
(* (pow x 12) (+ 1/406425600 (+ (/ 29/1814400 (pow x 4)) (* 1/3628800 (/ 1 (pow x 2))))))
(* (pow x 12) (+ 1/406425600 (+ (/ 29/1814400 (pow x 4)) (+ (* 1/3628800 (/ 1 (pow x 2))) (* 1/2160 (/ 1 (pow x 6)))))))
(* 1/406425600 (pow x 12))
(* (pow x 12) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2)))))
(* (pow x 12) (+ 1/406425600 (+ (/ 29/1814400 (pow x 4)) (* 1/3628800 (/ 1 (pow x 2))))))
(* (pow x 12) (+ 1/406425600 (+ (/ 29/1814400 (pow x 4)) (+ (* 1/3628800 (/ 1 (pow x 2))) (* 1/2160 (/ 1 (pow x 6)))))))
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* 1/360 (pow x 3))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 3))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 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)))))
(* 1/2160 (pow x 2))
(* (pow x 2) (+ 1/2160 (* 29/1814400 (pow x 2))))
(* (pow x 2) (+ 1/2160 (* 29/1814400 (pow x 2))))
(* (pow x 2) (+ 1/2160 (* 29/1814400 (pow x 2))))
(* 29/1814400 (pow x 4))
(* (pow x 4) (+ 29/1814400 (* 1/2160 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 29/1814400 (* 1/2160 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 29/1814400 (* 1/2160 (/ 1 (pow x 2)))))
(* 29/1814400 (pow x 4))
(* (pow x 4) (+ 29/1814400 (* 1/2160 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 29/1814400 (* 1/2160 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 29/1814400 (* 1/2160 (/ 1 (pow x 2)))))
(* 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)))))
(* 1/360 (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
(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 (* 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 (* 1/12 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(* 1/12 (pow x 4))
(.f64 #s(literal 1/12 binary64) (.f64 (.f64 x (.f64 x x)) x))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(* 1/12 (pow x 4))
(.f64 #s(literal 1/12 binary64) (.f64 (.f64 x (.f64 x x)) x))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 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 (* 1/12 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(* x (+ 1 (* 1/12 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(* 1/12 (pow x 3))
(.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(* 1/12 (pow x 3))
(.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
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 (* 1/12 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))
(+ 1 (* 1/12 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 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 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))))
(* 1/360 (pow x 6))
(.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/360 binary64))))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)) (+.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 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)) (+.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) x))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)) (+.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) x))))
(* 1/360 (pow x 6))
(.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/360 binary64))))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)) (+.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 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)) (+.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) x))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)) (+.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) x))))
(* 1/12 (pow x 4))
(.f64 #s(literal 1/12 binary64) (.f64 (.f64 x (.f64 x x)) x))
(* (pow x 4) (+ 1/12 (* 1/360 (pow x 2))))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))
(* (pow x 4) (+ 1/12 (* 1/360 (pow x 2))))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))
(* (pow x 4) (+ 1/12 (* 1/360 (pow x 2))))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))
(* 1/360 (pow x 6))
(.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/360 binary64))))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)) (+.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)))))
(.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)) (+.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)))))
(.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x))))
(* 1/360 (pow x 6))
(.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/360 binary64))))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)) (+.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)))))
(.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)) (+.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)))))
(.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x))))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 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)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 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))))))))
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(* (pow x 4) (+ 1/144 (* (pow x 2) (+ 1/2160 (* 29/1814400 (pow x 2))))))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2160 binary64) (.f64 x (.f64 x #s(literal 29/1814400 binary64)))))))
(* (pow x 4) (+ 1/144 (* (pow x 2) (+ 1/2160 (* (pow x 2) (+ 29/1814400 (* 1/3628800 (pow x 2))))))))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2160 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 29/1814400 binary64) (.f64 (.f64 x x) #s(literal 1/3628800 binary64))))))))
(* 1/406425600 (pow x 12))
(*.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 12 binary64)))
(* (pow x 12) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/406425600 binary64) (/.f64 #s(literal 1/3628800 binary64) (.f64 x x))) (pow.f64 x #s(literal 12 binary64)))
(* (pow x 12) (+ 1/406425600 (+ (/ 29/1814400 (pow x 4)) (* 1/3628800 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (/.f64 #s(literal 1/3628800 binary64) (.f64 x x)) (+.f64 #s(literal 1/406425600 binary64) (/.f64 #s(literal 29/1814400 binary64) (.f64 (.f64 x (*.f64 x x)) x)))))
(* (pow x 12) (+ 1/406425600 (+ (/ 29/1814400 (pow x 4)) (+ (* 1/3628800 (/ 1 (pow x 2))) (* 1/2160 (/ 1 (pow x 6)))))))
(.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (/.f64 #s(literal 29/1814400 binary64) (.f64 (.f64 x (.f64 x x)) x)) (+.f64 (+.f64 #s(literal 1/406425600 binary64) (/.f64 #s(literal 1/3628800 binary64) (.f64 x x))) (/.f64 #s(literal 1/2160 binary64) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x))))))
(* 1/406425600 (pow x 12))
(*.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 12 binary64)))
(* (pow x 12) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/406425600 binary64) (/.f64 #s(literal 1/3628800 binary64) (.f64 x x))) (pow.f64 x #s(literal 12 binary64)))
(* (pow x 12) (+ 1/406425600 (+ (/ 29/1814400 (pow x 4)) (* 1/3628800 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (/.f64 #s(literal 1/3628800 binary64) (.f64 x x)) (+.f64 #s(literal 1/406425600 binary64) (/.f64 #s(literal 29/1814400 binary64) (.f64 (.f64 x (*.f64 x x)) x)))))
(* (pow x 12) (+ 1/406425600 (+ (/ 29/1814400 (pow x 4)) (+ (* 1/3628800 (/ 1 (pow x 2))) (* 1/2160 (/ 1 (pow x 6)))))))
(.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (/.f64 #s(literal 29/1814400 binary64) (.f64 (.f64 x (.f64 x x)) x)) (+.f64 (+.f64 #s(literal 1/406425600 binary64) (/.f64 #s(literal 1/3628800 binary64) (.f64 x x))) (/.f64 #s(literal 1/2160 binary64) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x))))))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal 1/360 binary64)))))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal 1/360 binary64)))))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal 1/360 binary64)))))
(* 1/360 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/360 binary64))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal 1/360 binary64)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal 1/360 binary64)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal 1/360 binary64)))))
(* 1/360 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/360 binary64))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal 1/360 binary64)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal 1/360 binary64)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal 1/360 binary64)))))
(* 1/360 (pow x 2))
(.f64 x (.f64 x #s(literal 1/360 binary64)))
(* 1/360 (pow x 2))
(.f64 x (.f64 x #s(literal 1/360 binary64)))
(* 1/360 (pow x 2))
(.f64 x (.f64 x #s(literal 1/360 binary64)))
(* 1/360 (pow x 2))
(.f64 x (.f64 x #s(literal 1/360 binary64)))
(* 1/360 (pow x 2))
(.f64 x (.f64 x #s(literal 1/360 binary64)))
(* 1/360 (pow x 2))
(.f64 x (.f64 x #s(literal 1/360 binary64)))
(* 1/360 (pow x 2))
(.f64 x (.f64 x #s(literal 1/360 binary64)))
(* 1/360 (pow x 2))
(.f64 x (.f64 x #s(literal 1/360 binary64)))
(* 1/360 (pow x 2))
(.f64 x (.f64 x #s(literal 1/360 binary64)))
(* 1/360 (pow x 2))
(.f64 x (.f64 x #s(literal 1/360 binary64)))
(* 1/360 (pow x 2))
(.f64 x (.f64 x #s(literal 1/360 binary64)))
(* 1/360 (pow x 2))
(.f64 x (.f64 x #s(literal 1/360 binary64)))
(* 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 (.f64 x (*.f64 x x)) #s(literal 1/20160 binary64))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (*.f64 x x) #s(literal 1/20160 binary64))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (*.f64 x x) #s(literal 1/20160 binary64))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (*.f64 x x) #s(literal 1/20160 binary64))))
(* 1/20160 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/20160 binary64))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (*.f64 x x) #s(literal 1/20160 binary64))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (*.f64 x x) #s(literal 1/20160 binary64))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (*.f64 x x) #s(literal 1/20160 binary64))))
(* 1/2160 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2160 binary64)))
(* (pow x 2) (+ 1/2160 (* 29/1814400 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2160 binary64) (.f64 x (.f64 x #s(literal 29/1814400 binary64)))))
(* (pow x 2) (+ 1/2160 (* 29/1814400 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2160 binary64) (.f64 x (.f64 x #s(literal 29/1814400 binary64)))))
(* (pow x 2) (+ 1/2160 (* 29/1814400 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2160 binary64) (.f64 x (.f64 x #s(literal 29/1814400 binary64)))))
(* 29/1814400 (pow x 4))
(.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 29/1814400 binary64))
(* (pow x 4) (+ 29/1814400 (* 1/2160 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2160 binary64) (.f64 x (.f64 x #s(literal 29/1814400 binary64)))))
(* (pow x 4) (+ 29/1814400 (* 1/2160 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2160 binary64) (.f64 x (.f64 x #s(literal 29/1814400 binary64)))))
(* (pow x 4) (+ 29/1814400 (* 1/2160 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2160 binary64) (.f64 x (.f64 x #s(literal 29/1814400 binary64)))))
(* 29/1814400 (pow x 4))
(.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 29/1814400 binary64))
(* (pow x 4) (+ 29/1814400 (* 1/2160 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2160 binary64) (.f64 x (.f64 x #s(literal 29/1814400 binary64)))))
(* (pow x 4) (+ 29/1814400 (* 1/2160 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2160 binary64) (.f64 x (.f64 x #s(literal 29/1814400 binary64)))))
(* (pow x 4) (+ 29/1814400 (* 1/2160 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2160 binary64) (.f64 x (.f64 x #s(literal 29/1814400 binary64)))))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))
(* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(.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))))))))
(* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64))))))))
(* 1/20160 (pow x 6))
(.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)) #s(literal 1/20160 binary64))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)) (+.f64 #s(literal 1/20160 binary64) (+.f64 (/.f64 #s(literal 1/360 binary64) (.f64 x x)) (/.f64 #s(literal 1/12 binary64) (.f64 (.f64 x (.f64 x x)) x)))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)) (+.f64 #s(literal 1/20160 binary64) (+.f64 (/.f64 #s(literal 1/360 binary64) (.f64 x x)) (/.f64 #s(literal 1/12 binary64) (.f64 (.f64 x (.f64 x x)) x)))))
(* 1/20160 (pow x 6))
(.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)) #s(literal 1/20160 binary64))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)) (+.f64 #s(literal 1/20160 binary64) (+.f64 (/.f64 #s(literal 1/360 binary64) (.f64 x x)) (/.f64 #s(literal 1/12 binary64) (.f64 (.f64 x (.f64 x x)) x)))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)) (+.f64 #s(literal 1/20160 binary64) (+.f64 (/.f64 #s(literal 1/360 binary64) (.f64 x x)) (/.f64 #s(literal 1/12 binary64) (.f64 (.f64 x (.f64 x x)) x)))))
(* 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 (.f64 (.f64 x (.f64 x 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)))))
(* (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 (.f64 (.f64 x (.f64 x 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)))))
(* (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)))))
(* 1/360 (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 (.f64 (.f64 x (.f64 x 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)))))
(* (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 (.f64 (.f64 x (.f64 x 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)))))
(* (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)))))

eval183.0ms (1.8%)

Compiler: Compiled 67533 to 2982 computations (95.6% saved)

prune122.0ms (1.2%)

Pruning

17 alts after pruning (5 fresh and 12 done)

	Pruned	Kept	Total
New	1203	5	1208
Fresh	0	0	0
Picked	1	3	4
Done	1	9	10
Total	1205	17	1222

Accuracy

100.0%

Counts

1222 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.4%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.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))))) (.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/406425600 binary64)))) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal -1/20160 binary64))))) (.f64 (.f64 x x) (.f64 x x))))) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (*.f64 x #s(literal 1/20160 binary64))))))))))
✓	99.4%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.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))))) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))) (.f64 (.f64 x x) (.f64 x x))))) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (*.f64 x #s(literal 1/20160 binary64))))))))))
✓	99.4%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))) (.f64 (.f64 x x) (.f64 x x))))) (.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))))))))))
✓	55.4%	(-.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))))) #s(literal 2 binary64))
✓	55.0%	(-.f64 (+.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))
✓	56.1%	(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
✓	56.2%	(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))) (exp.f64 (neg.f64 x)))
✓	99.3%	(+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))))) (*.f64 x x))
	99.3%	(.f64 (/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/144 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2160 binary64) (.f64 x (.f64 x #s(literal 29/1814400 binary64)))))))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))))))
	99.3%	(.f64 (/.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64)))))))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/144 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2160 binary64) (.f64 x (.f64 x #s(literal 29/1814400 binary64))))))))))
	99.1%	(.f64 (+.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/12 binary64)))) x) x)
	54.7%	(.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 29/90 binary64))
✓	99.1%	(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/12 binary64))))) x)
✓	99.4%	(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64))))))))
✓	99.3%	(.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) #s(literal 1/12 binary64))))
✓	98.5%	(*.f64 x x)

Compiler

Compiled 1174 to 391 computations (66.7% saved)

regimes20.0ms (0.2%)

Counts

22 → 1

Calls

Call 1

Inputs
(*.f64 x x)
(-.f64 (+.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))
(.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 29/90 binary64))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/12 binary64))))) x)
(.f64 (+.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/12 binary64)))) x) x)
(+.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/12 binary64))))) (*.f64 x x))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))))))
(+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))))) (*.f64 x x))
(-.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))))) #s(literal 2 binary64))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64))))))))
(.f64 (/.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64)))))))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/144 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2160 binary64) (.f64 x (.f64 x #s(literal 29/1814400 binary64))))))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2160 binary64) (.f64 (.f64 x x) #s(literal 29/1814400 binary64))))))) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))) (.f64 (.f64 x x) (.f64 x x))))) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (*.f64 x #s(literal 1/20160 binary64))))))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.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))))) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))) (.f64 (.f64 x x) (.f64 x x))))) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (*.f64 x #s(literal 1/20160 binary64))))))))))
(/.f64 (-.f64 (.f64 (.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 x (.f64 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 x (.f64 x #s(literal 1/20160 binary64))))))) (.f64 (.f64 x x) (.f64 x x))))) (-.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))) (.f64 (.f64 x x) (*.f64 x x)))))
(.f64 (/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/144 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2160 binary64) (.f64 x (.f64 x #s(literal 29/1814400 binary64)))))))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.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))))) (.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/406425600 binary64)))) (+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal -1/20160 binary64))))) (.f64 (.f64 x x) (.f64 x x))))) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/360 binary64) (.f64 x (*.f64 x #s(literal 1/20160 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 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))) (exp.f64 (neg.f64 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) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))

Calls

2 calls:

12.0ms	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
6.0ms	x

Results

Accuracy	Segments	Branch
99.4%	1	`x`
99.4%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes4.0ms (0%)

Counts

10 → 1

Calls

Call 1

Inputs
(*.f64 x x)
(-.f64 (+.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))
(.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 29/90 binary64))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/12 binary64))))) x)
(.f64 (+.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/12 binary64)))) x) x)
(+.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/12 binary64))))) (*.f64 x x))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))))))
(+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))))) (*.f64 x x))
(-.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))))) #s(literal 2 binary64))

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts

8 → 1

Calls

Call 1

Inputs
(*.f64 x x)
(-.f64 (+.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))
(.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 29/90 binary64))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/12 binary64))))) x)
(.f64 (+.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/12 binary64)))) x) x)
(+.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/12 binary64))))) (*.f64 x x))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))))))

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
99.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

7 → 1

Calls

Call 1

Inputs
(*.f64 x x)
(-.f64 (+.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))
(.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 29/90 binary64))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/12 binary64))))) x)
(.f64 (+.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/12 binary64)))) x) x)
(+.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/12 binary64))))) (*.f64 x x))

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.1%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

6 → 1

Calls

Call 1

Inputs
(*.f64 x x)
(-.f64 (+.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))
(.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 29/90 binary64))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/12 binary64))))) x)
(.f64 (+.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/12 binary64)))) x) x)

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.1%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

5 → 1

Calls

Call 1

Inputs
(*.f64 x x)
(-.f64 (+.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))
(.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 29/90 binary64))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/12 binary64))))) x)

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.1%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total -28.3b remaining (-2883.1%)

Threshold costs -28.3b (-2883.1%)

Counts

3 → 1

Calls

Call 1

Inputs
(*.f64 x x)
(-.f64 (+.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))
(.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 29/90 binary64))

Outputs
(*.f64 x x)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	97
1	61	97

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

soundness1.1s (10.8%)

Rules

4380×	`-lowering-.f32`
4380×	`-lowering-.f64`
3842×	`-lowering-.f32`
3842×	`-lowering-.f64`
2806×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	52	459
1	368	297
2	3526	291
0	8246	291
0	25	178
1	186	159
2	1689	153
0	8165	153
0	7	8
1	19	7
2	37	7
3	62	7
4	116	7
5	214	7
6	498	7
7	950	7
8	1161	7
9	1232	7
10	1246	7
0	1246	7
0	67	495
1	193	450
2	533	437
3	1509	437
4	2662	437
5	6024	437
6	7679	437
0	8141	437

Stop Event

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

Compiler

Compiled 326 to 170 computations (47.9% saved)

preprocess89.0ms (0.9%)

Remove: (abs x)
Compiler: Compiled 430 to 196 computations (54.4% saved)

analyze0.0ms (0%)

sample3.4s (32.3%)

preprocess63.0ms (0.6%)

explain243.0ms (2.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify34.0ms (0.3%)

localize162.0ms (1.6%)

series3.0ms (0%)

rewrite546.0ms (5.2%)

simplify169.0ms (1.6%)

eval85.0ms (0.8%)

prune66.0ms (0.6%)

simplify178.0ms (1.7%)

localize238.0ms (2.3%)

series14.0ms (0.1%)

rewrite308.0ms (3%)

simplify206.0ms (2%)

eval132.0ms (1.3%)

prune100.0ms (1%)

simplify179.0ms (1.7%)

localize571.0ms (5.5%)

series15.0ms (0.1%)

rewrite420.0ms (4%)

simplify250.0ms (2.4%)

eval177.0ms (1.7%)

prune150.0ms (1.4%)

simplify207.0ms (2%)

localize329.0ms (3.2%)

series11.0ms (0.1%)

rewrite350.0ms (3.4%)

simplify273.0ms (2.6%)

eval183.0ms (1.8%)

prune122.0ms (1.2%)

regimes20.0ms (0.2%)

regimes4.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

simplify9.0ms (0.1%)

soundness1.1s (10.8%)

preprocess89.0ms (0.9%)

end0.0ms (0%)

Profiling