Metrics for Hyperbolic tangent

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
100%	100%	0%	0%	0%	0%	0%	2

Compiler

Compiled 15 to 8 computations (46.7% saved)

Precisions

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

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

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

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

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

const: 0.0ms (0% of total)

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

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

sample4.0s (49.1%)

Results

2.8s	7807×	1	valid
529.0ms	7762×	0	unsamplable
28.0ms	449×	0	valid

Precisions

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

ival-exp: 1.6s (63.5% of total)

ival-div: 281.0ms (11.3% of total)

backward-pass: 214.0ms (8.6% of total)

ival-sub: 154.0ms (6.2% of total)

ival-add: 132.0ms (5.3% of total)

ival-neg: 117.0ms (4.7% of total)

const: 13.0ms (0.5% of total)

Bogosity

preprocess146.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

689×	`fma-define`
254×	`fma-neg`
158×	`div-sub`
128×	`times-frac`
115×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	220
1	51	220
2	108	220
3	238	220
4	576	220
5	1291	220
6	2484	220
7	2562	220
8	2597	220
9	2628	220
10	2666	220
11	2682	220
12	2690	220

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (neg.f64 x)))))
(neg.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (neg.f64 x))))))

Outputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (neg.f64 x)))))
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(neg.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (neg.f64 x))))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Symmetry

(negabs x)

explain280.0ms (3.4%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
247	-	-	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
6	-	-	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (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) (exp.f64 (neg.f64 x)))`

Results

234.0ms	484×	1	valid
4.0ms	28×	0	valid

Compiler

Compiled 84 to 23 computations (72.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 199.0ms

ival-exp: 165.0ms (82.8% of total)

backward-pass: 9.0ms (4.5% of total)

ival-div: 7.0ms (3.5% of total)

ival-neg: 7.0ms (3.5% of total)

ival-sub: 6.0ms (3% of total)

ival-add: 5.0ms (2.5% of total)

const: 1.0ms (0.5% of total)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	8.7%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Compiler

Compiled 14 to 7 computations (50% saved)

localize154.0ms (1.9%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(exp.f64 (neg.f64 x))
✓	cost-diff	0	(exp.f64 x)
✓	cost-diff	0	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
✓	cost-diff	0	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	100.0%	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
✓	accuracy	97.7%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	accuracy	11.0%	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Rules

318×	`fma-define`
299×	`fma-neg`
102×	`div-sub`
98×	`times-frac`
62×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	137
1	24	137
2	44	137
3	71	137
4	132	137
5	304	137
6	573	137
7	877	137
8	1326	137
9	1597	137
10	1747	137
11	1836	137
12	1850	137

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
x
(exp.f64 (neg.f64 x))
(neg.f64 x)
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Outputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
x
(exp.f64 (neg.f64 x))
(neg.f64 x)
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

70.0ms	242×	1	valid
1.0ms	14×	0	valid

Compiler

Compiled 35 to 8 computations (77.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-exp: 32.0ms (63.8% of total)

ival-div: 6.0ms (12% of total)

backward-pass: 4.0ms (8% of total)

ival-sub: 3.0ms (6% of total)

ival-add: 2.0ms (4% of total)

ival-neg: 2.0ms (4% of total)

const: 0.0ms (0% of total)

series19.0ms (0.2%)

Counts

5 → 36

Calls

Call 1

Inputs
#<alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))>
#<alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))>
#<alt (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))>
#<alt (exp.f64 x)>
#<alt (exp.f64 (neg.f64 x))>

Outputs
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/2520 binary64) (pow.f64 x #s(literal 2 binary64)))))))))>
#<alt (-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))>
#<alt (-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))>
#<alt (-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))>
#<alt (-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))>
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/3 binary64)))))>
#<alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x))) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x))))>
#<alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x))) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x))))>
#<alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x))) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x))))>
#<alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x))) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x))))>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64))))))))>
#<alt (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))>
#<alt (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))>
#<alt (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))>
#<alt (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) x)>
#<alt (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) x))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) x))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) x))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) x))>

Calls

15 calls:

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

rewrite369.0ms (4.5%)

Algorithm

1×	batch-egg-rewrite

Rules

80×	`add-exp-log`
80×	`add-log-exp`
80×	`add-cube-cbrt`
78×	`log1p-expm1-u`
78×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	70
1	174	70
2	3404	70

Stop Event

1×

unsound

Counts

5 → 45

Calls

Call 1

Inputs
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
(exp.f64 (neg.f64 x))

Outputs
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)

simplify132.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

569×	`distribute-lft-in`
537×	`distribute-rgt-in`
508×	`fma-neg`
396×	`fma-define`
354×	`sub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	95	1127
1	262	1030
2	715	1006
3	2124	1006
4	3097	1006
5	4612	1006
6	5294	1006
7	6690	1006

Stop Event

1×	node limit

Counts

81 → 70

Calls

Call 1

Inputs
(*.f64 #s(literal 2 binary64) x)
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/2520 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/3 binary64)))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x))) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x))) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x))) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x))) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x))))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64))))))))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))
(exp.f64 (*.f64 #s(literal -1 binary64) x))
(exp.f64 (*.f64 #s(literal -1 binary64) x))
(exp.f64 (*.f64 #s(literal -1 binary64) x))
(exp.f64 (*.f64 #s(literal -1 binary64) x))
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)

Outputs
(*.f64 #s(literal 2 binary64) x)
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) x))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64))))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))))
(fma.f64 #s(literal 2 binary64) x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 5 binary64)))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/2520 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2520 binary64))))))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64) (fma.f64 #s(literal 1/2520 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64)))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/3 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64))) #s(literal -1/3 binary64)))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) (fma.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/3 binary64))) (pow.f64 x #s(literal 3 binary64)) x)
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x))) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x))) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x))) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x))) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 x x #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 x x (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64))))))))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64)))))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 x x (fma.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(+.f64 (neg.f64 x) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(exp.f64 (*.f64 #s(literal -1 binary64) x))
(exp.f64 (neg.f64 x))
(exp.f64 (*.f64 #s(literal -1 binary64) x))
(exp.f64 (neg.f64 x))
(exp.f64 (*.f64 #s(literal -1 binary64) x))
(exp.f64 (neg.f64 x))
(exp.f64 (*.f64 #s(literal -1 binary64) x))
(exp.f64 (neg.f64 x))
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)

eval16.0ms (0.2%)

Compiler: Compiled 1477 to 314 computations (78.7% saved)

prune15.0ms (0.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	83	7	90
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	83	8	91

Accuracy

97.9%

Counts

91 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.9%	(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
✓	8.7%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
	97.0%	(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
▶	5.4%	(/.f64 #s(literal 3 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
	97.1%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/3 binary64)))))
▶	97.2%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))))
▶	96.9%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64))))
▶	96.5%	x

Compiler

Compiled 180 to 123 computations (31.7% saved)

localize336.0ms (4.1%)

Algorithm

1×	egg-herbie

Localize:

Found 28 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(exp.f64 (neg.f64 x))
	cost-diff	0	(exp.f64 x)
	cost-diff	0	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
✓	cost-diff	0	(/.f64 #s(literal 3 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	cost-diff	0	(pow.f64 x #s(literal 3 binary64))
✓	cost-diff	6144	(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
✓	cost-diff	-6272	(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64)))
✓	cost-diff	-6144	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64))))
✓	cost-diff	0	(pow.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64))
✓	cost-diff	-6272	(-.f64 (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))
✓	cost-diff	-6272	(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
✓	cost-diff	0	(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64)))
✓	cost-diff	0	(pow.f64 x #s(literal 2 binary64))
	accuracy	100.0%	(exp.f64 (neg.f64 x))
	accuracy	100.0%	(exp.f64 x)
✓	accuracy	100.0%	(/.f64 #s(literal 3 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
	accuracy	100.0%	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
✓	accuracy	100.0%	(pow.f64 x #s(literal 3 binary64))
✓	accuracy	100.0%	(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
✓	accuracy	100.0%	(pow.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64)))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64))))
✓	accuracy	99.7%	(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))))
✓	accuracy	100.0%	(-.f64 (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))
✓	accuracy	99.8%	(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64)))
✓	accuracy	99.7%	(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))

Rules

1025×	`fma-neg`
512×	`fma-define`
258×	`cancel-sign-sub-inv`
172×	`distribute-lft-in`
167×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	398
1	64	364
2	113	360
3	258	360
4	457	360
5	582	360
6	679	360
7	1212	360
8	1594	360
9	2057	360
10	3047	360
11	3449	360
12	3488	360
13	3495	360
14	3585	360
15	3585	360
16	3585	360
17	3589	360

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))))
x
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))))
#s(literal 1 binary64)
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal 2/15 binary64)
#s(literal 1/3 binary64)
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64))))
x
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64)))
#s(literal 1 binary64)
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64))
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal -1/3 binary64)
(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
#s(literal -1/3 binary64)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(/.f64 #s(literal 3 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
#s(literal 3 binary64)
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
x
(exp.f64 (neg.f64 x))
(neg.f64 x)

Outputs
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64)))))
(+.f64 x (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(fma.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x))
x
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))
(fma.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64))
#s(literal 2/15 binary64)
#s(literal 1/3 binary64)
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64))))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
x
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64))
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal -1/3 binary64)
(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64))))
#s(literal -1/3 binary64)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(/.f64 #s(literal 3 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
#s(literal 3 binary64)
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
x
(exp.f64 (neg.f64 x))
(neg.f64 x)

Results

84.0ms

256×

valid

Compiler

Compiled 125 to 24 computations (80.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

...c/correct-round.rkt:119:19: 10.0ms (23.9% of total)

ival-mult: 8.0ms (19.2% of total)

ival-pow: 8.0ms (19.2% of total)

ival-add: 4.0ms (9.6% of total)

ival-exp: 3.0ms (7.2% of total)

ival-fma: 3.0ms (7.2% of total)

ival-div: 2.0ms (4.8% of total)

ival-sub: 1.0ms (2.4% of total)

const: 1.0ms (2.4% of total)

ival-neg: 1.0ms (2.4% of total)

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

series19.0ms (0.2%)

Counts

11 → 84

Calls

Call 1

Inputs
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))>
#<alt (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (-.f64 (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)>
#<alt (pow.f64 x #s(literal 3 binary64))>
#<alt (/.f64 #s(literal 3 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))>

Outputs
#<alt (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 2/15 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 2/15 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 2/15 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 2/15 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 2/15 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 2/15 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt #s(literal -1/3 binary64)>
#<alt (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 2/15 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 2/15 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 2/15 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 2/15 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 2/15 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 2/15 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 2/15 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2/15 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))))>
#<alt (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))>
#<alt (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))>
#<alt (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))>
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))>
#<alt (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt #s(literal 3/2 binary64)>
#<alt (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal -3/4 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 3/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 5/16 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))))>
#<alt (+.f64 #s(literal 3/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/16 binary64) (*.f64 #s(literal -61/480 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 3/4 binary64))))>
#<alt (/.f64 #s(literal 3 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))>
#<alt (/.f64 #s(literal 3 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))>
#<alt (/.f64 #s(literal 3 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))>
#<alt (/.f64 #s(literal 3 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))>

Calls

33 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(/ 3 (+ (exp x) (exp (neg x))))
1.0ms	x	@	inf	(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
1.0ms	x	@	inf	(/ 3 (+ (exp x) (exp (neg x))))
1.0ms	x	@	0	(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
1.0ms	x	@	inf	(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))

rewrite61.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

185×	`log1p-expm1-u`
185×	`expm1-log1p-u`
180×	`add-exp-log`
180×	`add-log-exp`
180×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	244
1	425	244
2	7188	244

Stop Event

1×

unsound

Counts

11 → 177

Calls

Call 1

Inputs
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64)))
(pow.f64 x #s(literal 2 binary64))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(pow.f64 x #s(literal 3 binary64))
(/.f64 #s(literal 3 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Outputs
#s(literal 8/3375 binary64)
#s(literal 4/225 binary64)
#s(literal 2/45 binary64)
#s(literal 2/15 binary64)
#s(literal 8/3375 binary64)
#s(literal 4/225 binary64)
#s(literal 2/45 binary64)
#s(literal 2/15 binary64)
#s(literal 8/3375 binary64)
#s(literal 4/225 binary64)
#s(literal 2/45 binary64)
#s(literal 2/15 binary64)
#s(literal 8/3375 binary64)
#s(literal 4/225 binary64)
#s(literal 2/45 binary64)
#s(literal 2/15 binary64)
#s(literal -9 binary64)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/3 binary64)
#s(literal -1/9 binary64)
#s(literal -1/27 binary64)
#s(literal 0 binary64)
#s(literal 1/19683 binary64)
#s(literal 1/729 binary64)
#s(literal 1/81 binary64)
#s(literal 1/27 binary64)
#s(literal 1/9 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 9 binary64)
#s(literal -9 binary64)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/3 binary64)
#s(literal -1/9 binary64)
#s(literal -1/27 binary64)
#s(literal 0 binary64)
#s(literal 1/19683 binary64)
#s(literal 1/729 binary64)
#s(literal 1/81 binary64)
#s(literal 1/27 binary64)
#s(literal 1/9 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 9 binary64)
#s(literal -9 binary64)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/3 binary64)
#s(literal -1/9 binary64)
#s(literal -1/27 binary64)
#s(literal 0 binary64)
#s(literal 1/19683 binary64)
#s(literal 1/729 binary64)
#s(literal 1/81 binary64)
#s(literal 1/27 binary64)
#s(literal 1/9 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 9 binary64)
#s(literal -9 binary64)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/3 binary64)
#s(literal -1/9 binary64)
#s(literal -1/27 binary64)
#s(literal 0 binary64)
#s(literal 1/19683 binary64)
#s(literal 1/729 binary64)
#s(literal 1/81 binary64)
#s(literal 1/27 binary64)
#s(literal 1/9 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 9 binary64)
#s(literal -9 binary64)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/3 binary64)
#s(literal -1/9 binary64)
#s(literal -1/27 binary64)
#s(literal 0 binary64)
#s(literal 1/19683 binary64)
#s(literal 1/729 binary64)
#s(literal 1/81 binary64)
#s(literal 1/27 binary64)
#s(literal 1/9 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 9 binary64)
#s(literal -9 binary64)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/3 binary64)
#s(literal -1/9 binary64)
#s(literal -1/27 binary64)
#s(literal 0 binary64)
#s(literal 1/19683 binary64)
#s(literal 1/729 binary64)
#s(literal 1/81 binary64)
#s(literal 1/27 binary64)
#s(literal 1/9 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 9 binary64)
#s(literal -9 binary64)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/3 binary64)
#s(literal -1/9 binary64)
#s(literal -1/27 binary64)
#s(literal 0 binary64)
#s(literal 1/19683 binary64)
#s(literal 1/729 binary64)
#s(literal 1/81 binary64)
#s(literal 1/27 binary64)
#s(literal 1/9 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 9 binary64)

simplify229.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

535×	`fma-define`
381×	`fma-neg`
362×	`exp-prod`
284×	`*-commutative`
284×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	87	2374
1	177	2208
2	430	2018
3	1317	1994
4	4136	1994
5	7639	1994

Stop Event

1×	node limit

Counts

261 → 74

Calls

Call 1

Inputs
(*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 4 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 2/15 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 2/15 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 2/15 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 4 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 2/15 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 2/15 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 2/15 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(literal -1/3 binary64)
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 2/15 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 2/15 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 2/15 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 2/15 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 2/15 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 2/15 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64)))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 2/15 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2/15 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(literal 3/2 binary64)
(+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal -3/4 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 3/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 5/16 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))))
(+.f64 #s(literal 3/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/16 binary64) (*.f64 #s(literal -61/480 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 3/4 binary64))))
(/.f64 #s(literal 3 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))
(/.f64 #s(literal 3 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))
(/.f64 #s(literal 3 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))
(/.f64 #s(literal 3 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))
#s(literal 8/3375 binary64)
#s(literal 4/225 binary64)
#s(literal 2/45 binary64)
#s(literal 2/15 binary64)
#s(literal 8/3375 binary64)
#s(literal 4/225 binary64)
#s(literal 2/45 binary64)
#s(literal 2/15 binary64)
#s(literal 8/3375 binary64)
#s(literal 4/225 binary64)
#s(literal 2/45 binary64)
#s(literal 2/15 binary64)
#s(literal 8/3375 binary64)
#s(literal 4/225 binary64)
#s(literal 2/45 binary64)
#s(literal 2/15 binary64)
#s(literal -9 binary64)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/3 binary64)
#s(literal -1/9 binary64)
#s(literal -1/27 binary64)
#s(literal 0 binary64)
#s(literal 1/19683 binary64)
#s(literal 1/729 binary64)
#s(literal 1/81 binary64)
#s(literal 1/27 binary64)
#s(literal 1/9 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 9 binary64)
#s(literal -9 binary64)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/3 binary64)
#s(literal -1/9 binary64)
#s(literal -1/27 binary64)
#s(literal 0 binary64)
#s(literal 1/19683 binary64)
#s(literal 1/729 binary64)
#s(literal 1/81 binary64)
#s(literal 1/27 binary64)
#s(literal 1/9 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 9 binary64)
#s(literal -9 binary64)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/3 binary64)
#s(literal -1/9 binary64)
#s(literal -1/27 binary64)
#s(literal 0 binary64)
#s(literal 1/19683 binary64)
#s(literal 1/729 binary64)
#s(literal 1/81 binary64)
#s(literal 1/27 binary64)
#s(literal 1/9 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 9 binary64)
#s(literal -9 binary64)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/3 binary64)
#s(literal -1/9 binary64)
#s(literal -1/27 binary64)
#s(literal 0 binary64)
#s(literal 1/19683 binary64)
#s(literal 1/729 binary64)
#s(literal 1/81 binary64)
#s(literal 1/27 binary64)
#s(literal 1/9 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 9 binary64)
#s(literal -9 binary64)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/3 binary64)
#s(literal -1/9 binary64)
#s(literal -1/27 binary64)
#s(literal 0 binary64)
#s(literal 1/19683 binary64)
#s(literal 1/729 binary64)
#s(literal 1/81 binary64)
#s(literal 1/27 binary64)
#s(literal 1/9 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 9 binary64)
#s(literal -9 binary64)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/3 binary64)
#s(literal -1/9 binary64)
#s(literal -1/27 binary64)
#s(literal 0 binary64)
#s(literal 1/19683 binary64)
#s(literal 1/729 binary64)
#s(literal 1/81 binary64)
#s(literal 1/27 binary64)
#s(literal 1/9 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 9 binary64)
#s(literal -9 binary64)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/3 binary64)
#s(literal -1/9 binary64)
#s(literal -1/27 binary64)
#s(literal 0 binary64)
#s(literal 1/19683 binary64)
#s(literal 1/729 binary64)
#s(literal 1/81 binary64)
#s(literal 1/27 binary64)
#s(literal 1/9 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 9 binary64)

Outputs
(*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 4 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 2/15 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))))
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(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(+.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(+.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 x (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 x (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 x (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(.f64 x (+.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 x (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(.f64 x (+.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 x (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(.f64 x (+.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 x (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 x (+.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 x (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 x (+.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 x (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 x (+.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 x (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
#s(literal 3/2 binary64)
(+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal -3/4 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 3/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -3/4 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -3/4 binary64) #s(literal 3/2 binary64))
(+.f64 #s(literal 3/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 5/16 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))))
(+.f64 #s(literal 3/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 5/16 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -3/4 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/16 binary64) #s(literal -3/4 binary64)) #s(literal 3/2 binary64))
(+.f64 #s(literal 3/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/16 binary64) (*.f64 #s(literal -61/480 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 3/4 binary64))))
(+.f64 #s(literal 3/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/16 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -61/480 binary64))) #s(literal -3/4 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -61/480 binary64) #s(literal 5/16 binary64)) #s(literal -3/4 binary64)) #s(literal 3/2 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/16 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -61/480 binary64) #s(literal -3/4 binary64))) #s(literal 3/2 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -61/480 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/16 binary64) #s(literal -3/4 binary64))) #s(literal 3/2 binary64))
(/.f64 #s(literal 3 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))
(/.f64 #s(literal 3 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 #s(literal 3 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))
(/.f64 #s(literal 3 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 #s(literal 3 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))
(/.f64 #s(literal 3 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 #s(literal 3 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))
(/.f64 #s(literal 3 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
#s(literal 8/3375 binary64)
#s(literal 4/225 binary64)
#s(literal 2/45 binary64)
#s(literal 2/15 binary64)
#s(literal 8/3375 binary64)
#s(literal 4/225 binary64)
#s(literal 2/45 binary64)
#s(literal 2/15 binary64)
#s(literal 8/3375 binary64)
#s(literal 4/225 binary64)
#s(literal 2/45 binary64)
#s(literal 2/15 binary64)
#s(literal 8/3375 binary64)
#s(literal 4/225 binary64)
#s(literal 2/45 binary64)
#s(literal 2/15 binary64)
#s(literal -9 binary64)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/3 binary64)
#s(literal -1/9 binary64)
#s(literal -1/27 binary64)
#s(literal 0 binary64)
#s(literal 1/19683 binary64)
#s(literal 1/729 binary64)
#s(literal 1/81 binary64)
#s(literal 1/27 binary64)
#s(literal 1/9 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 9 binary64)
#s(literal -9 binary64)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/3 binary64)
#s(literal -1/9 binary64)
#s(literal -1/27 binary64)
#s(literal 0 binary64)
#s(literal 1/19683 binary64)
#s(literal 1/729 binary64)
#s(literal 1/81 binary64)
#s(literal 1/27 binary64)
#s(literal 1/9 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 9 binary64)
#s(literal -9 binary64)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/3 binary64)
#s(literal -1/9 binary64)
#s(literal -1/27 binary64)
#s(literal 0 binary64)
#s(literal 1/19683 binary64)
#s(literal 1/729 binary64)
#s(literal 1/81 binary64)
#s(literal 1/27 binary64)
#s(literal 1/9 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 9 binary64)
#s(literal -9 binary64)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/3 binary64)
#s(literal -1/9 binary64)
#s(literal -1/27 binary64)
#s(literal 0 binary64)
#s(literal 1/19683 binary64)
#s(literal 1/729 binary64)
#s(literal 1/81 binary64)
#s(literal 1/27 binary64)
#s(literal 1/9 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 9 binary64)
#s(literal -9 binary64)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/3 binary64)
#s(literal -1/9 binary64)
#s(literal -1/27 binary64)
#s(literal 0 binary64)
#s(literal 1/19683 binary64)
#s(literal 1/729 binary64)
#s(literal 1/81 binary64)
#s(literal 1/27 binary64)
#s(literal 1/9 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 9 binary64)
#s(literal -9 binary64)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/3 binary64)
#s(literal -1/9 binary64)
#s(literal -1/27 binary64)
#s(literal 0 binary64)
#s(literal 1/19683 binary64)
#s(literal 1/729 binary64)
#s(literal 1/81 binary64)
#s(literal 1/27 binary64)
#s(literal 1/9 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 9 binary64)
#s(literal -9 binary64)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/3 binary64)
#s(literal -1/9 binary64)
#s(literal -1/27 binary64)
#s(literal 0 binary64)
#s(literal 1/19683 binary64)
#s(literal 1/729 binary64)
#s(literal 1/81 binary64)
#s(literal 1/27 binary64)
#s(literal 1/9 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 9 binary64)

eval12.0ms (0.2%)

Compiler: Compiled 1134 to 349 computations (69.2% saved)

prune24.0ms (0.3%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	100	7	107
Fresh	0	2	2
Picked	3	2	5
Done	0	1	1
Total	103	12	115

Accuracy

98.1%

Counts

115 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	8.7%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
	97.0%	(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
	5.6%	(/.f64 #s(literal 3 binary64) (fma.f64 x x #s(literal 2 binary64)))
	5.4%	(/.f64 #s(literal 3 binary64) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))))
▶	96.9%	(+.f64 x (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
▶	32.2%	(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
▶	97.1%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/3 binary64)))))
✓	97.2%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))))
▶	24.9%	(*.f64 x (+.f64 #s(literal 1 binary64) #s(literal -1/27 binary64)))
	22.5%	(*.f64 x (+.f64 #s(literal 1 binary64) #s(literal -1/9 binary64)))
✓	96.5%	x
▶	5.8%	#s(literal 3/2 binary64)

Compiler

Compiled 222 to 159 computations (28.4% saved)

localize270.0ms (3.3%)

Algorithm

1×	egg-herbie

Localize:

Found 26 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
✓	cost-diff	0	(-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))
✓	cost-diff	0	(pow.f64 x #s(literal 3 binary64))
✓	cost-diff	320	(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
✓	cost-diff	-6272	(+.f64 x (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
✓	cost-diff	0	(pow.f64 x #s(literal 3 binary64))
✓	cost-diff	0	(*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
✓	cost-diff	128	(+.f64 #s(literal 1 binary64) #s(literal -1/27 binary64))
✓	cost-diff	128	(*.f64 x (+.f64 #s(literal 1 binary64) #s(literal -1/27 binary64)))
✓	cost-diff	-6272	(+.f64 #s(literal 2/15 binary64) (*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64))))
✓	cost-diff	-6272	(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64)))))
✓	cost-diff	0	(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64)))
✓	cost-diff	0	(pow.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(pow.f64 x #s(literal 3 binary64))
✓	accuracy	100.0%	(-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
✓	accuracy	36.3%	(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
✓	accuracy	100.0%	(pow.f64 x #s(literal 3 binary64))
✓	accuracy	100.0%	(+.f64 x (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
✓	accuracy	99.8%	(*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
✓	accuracy	99.4%	(*.f64 x (+.f64 #s(literal 1 binary64) #s(literal -1/27 binary64)))
✓	accuracy	98.4%	(+.f64 #s(literal 1 binary64) #s(literal -1/27 binary64))
✓	accuracy	100.0%	(-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/3 binary64))
✓	accuracy	99.8%	(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64)))))
✓	accuracy	99.7%	(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64)))
✓	accuracy	99.7%	(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/3 binary64)))

Rules

758×	`fma-define`
660×	`associate-/r/`
482×	`times-frac`
402×	`distribute-lft-in`
379×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	482
1	67	440
2	154	436
3	467	436
4	1136	436
5	3687	436
6	6898	436

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/3 binary64)))))
x
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/3 binary64))))
#s(literal 1 binary64)
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/3 binary64)))
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/3 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 2/15 binary64) (*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(literal 2/15 binary64)
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal -17/315 binary64)
#s(literal 1/3 binary64)
#s(literal 3/2 binary64)
(*.f64 x (+.f64 #s(literal 1 binary64) #s(literal -1/27 binary64)))
x
(+.f64 #s(literal 1 binary64) #s(literal -1/27 binary64))
#s(literal 1 binary64)
#s(literal -1/27 binary64)
(+.f64 x (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
x
(*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
#s(literal -1/3 binary64)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1/3 binary64)

Outputs
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/3 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64))) #s(literal -1/3 binary64)))))
(+.f64 x (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) (fma.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/3 binary64))) (pow.f64 x #s(literal 3 binary64)) x)
(fma.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x))
x
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/3 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64))) #s(literal -1/3 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) (fma.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/3 binary64))) #s(literal 1 binary64))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal 1 binary64)))
#s(literal 1 binary64)
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64))) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) (fma.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/3 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64) (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/3 binary64)) (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64) (fma.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 6 binary64)))))
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/3 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64))) #s(literal -1/3 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) (fma.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/3 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) (*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 4 binary64))))
(+.f64 #s(literal 2/15 binary64) (*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 2/15 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64))
#s(literal 2/15 binary64)
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64))
#s(literal -17/315 binary64)
#s(literal 1/3 binary64)
#s(literal 3/2 binary64)
(*.f64 x (+.f64 #s(literal 1 binary64) #s(literal -1/27 binary64)))
(*.f64 x #s(literal 26/27 binary64))
x
(+.f64 #s(literal 1 binary64) #s(literal -1/27 binary64))
#s(literal 26/27 binary64)
#s(literal 1 binary64)
#s(literal -1/27 binary64)
(+.f64 x (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
x
(*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
#s(literal -1/3 binary64)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(+.f64 x (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -1/3 binary64))
(+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1/3 binary64)

Results

163.0ms

256×

valid

Compiler

Compiled 168 to 27 computations (83.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 127.0ms

...c/correct-round.rkt:119:19: 92.0ms (72.5% of total)

ival-mult: 16.0ms (12.6% of total)

ival-pow: 8.0ms (6.3% of total)

ival-add: 5.0ms (3.9% of total)

ival-sub: 3.0ms (2.4% of total)

ival-div: 2.0ms (1.6% of total)

const: 1.0ms (0.8% of total)

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

series15.0ms (0.2%)

Counts

14 → 77

Calls

Call 1

Inputs
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/3 binary64)))>
#<alt (*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/3 binary64))>
#<alt (+.f64 #s(literal 1 binary64) #s(literal -1/27 binary64))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) #s(literal -1/27 binary64)))>
#<alt (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (+.f64 x (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))))>
#<alt (pow.f64 x #s(literal 3 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (+.f64 #s(literal 2/15 binary64) (*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64))))>

Outputs
#<alt (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))>
#<alt (*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 6 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 17/315 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 6 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 17/315 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 17/315 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 17/315 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 17/315 binary64)))>
#<alt (*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 17/315 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 17/315 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 17/315 binary64)))>
#<alt #s(literal -1/3 binary64)>
#<alt (-.f64 (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))>
#<alt (*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 17/315 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 17/315 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (*.f64 #s(literal 26/27 binary64) x)>
#<alt (*.f64 #s(literal 26/27 binary64) x)>
#<alt (*.f64 #s(literal 26/27 binary64) x)>
#<alt (*.f64 #s(literal 26/27 binary64) x)>
#<alt (*.f64 #s(literal 26/27 binary64) x)>
#<alt (*.f64 #s(literal 26/27 binary64) x)>
#<alt (*.f64 #s(literal 26/27 binary64) x)>
#<alt (*.f64 #s(literal 26/27 binary64) x)>
#<alt (*.f64 #s(literal 26/27 binary64) x)>
#<alt (*.f64 #s(literal 26/27 binary64) x)>
#<alt (*.f64 #s(literal 26/27 binary64) x)>
#<alt (*.f64 #s(literal 26/27 binary64) x)>
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))>
#<alt (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))>
#<alt #s(literal -1/3 binary64)>
#<alt #s(literal -1/3 binary64)>
#<alt #s(literal 2/15 binary64)>
#<alt (*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 17/315 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 17/315 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 17/315 binary64)))>
#<alt (*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 17/315 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 17/315 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 17/315 binary64)))>

Calls

39 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))
0.0ms	x	@	inf	(* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))
0.0ms	x	@	0	(* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))
0.0ms	x	@	-inf	(* -1/3 (pow x 3))
0.0ms	x	@	inf	(* -17/315 (pow x 2))

rewrite312.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1095×	`log1p-expm1-u`
784×	`expm1-log1p-u`
155×	`add-cube-cbrt`
153×	`add-exp-log`
153×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	297
1	369	277
2	5052	277

Stop Event

1×	node limit

Counts

14 → 316

Calls

Call 1

Inputs
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/3 binary64)))
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64)))))
(-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/3 binary64))
(+.f64 #s(literal 1 binary64) #s(literal -1/27 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) #s(literal -1/27 binary64)))
(*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(+.f64 x (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(pow.f64 x #s(literal 3 binary64))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))
(pow.f64 x #s(literal 2 binary64))
(+.f64 #s(literal 2/15 binary64) (*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64))))

Outputs
(+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64)))
(+.f64 (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))))) #s(literal 1 binary64))
(/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) #s(literal 3 binary64)) #s(literal -1/27 binary64))) (+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 1/9 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal 1/3 binary64))))))
(/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal 2 binary64))) #s(literal -1/9 binary64))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) #s(literal 3 binary64)) #s(literal -1/27 binary64)) (pow.f64 x #s(literal 2 binary64))) (+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 1/9 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal 1/3 binary64))))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal 2 binary64))) #s(literal -1/9 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -4913/31255875 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal -17/315 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 289/99225 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -17/315 binary64)) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -4913/31255875 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64))))
(exp.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64)) (.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 4 binary64))))
(+.f64 (.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64)))
(+.f64 (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64)) #s(literal 1 binary64)) (.f64 (.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64))) (-.f64 (.f64 (.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64)) (*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64))) (.f64 (.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 4 binary64))))) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64)) (.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -4913/31255875 binary64)) #s(literal 8/3375 binary64))) (+.f64 #s(literal 4/225 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 289/99225 binary64)) (.f64 #s(literal -34/4725 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 4/225 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 289/99225 binary64)))) (+.f64 #s(literal 2/15 binary64) (*.f64 #s(literal 17/315 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -4913/31255875 binary64)) #s(literal 8/3375 binary64)) (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 4/225 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 289/99225 binary64)) (.f64 #s(literal -34/4725 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (.f64 (-.f64 #s(literal 4/225 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 289/99225 binary64))) (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 2/15 binary64) (*.f64 #s(literal 17/315 binary64) (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) (*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 4 binary64))))
(+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) #s(literal -1/3 binary64))
(+.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64))))
(+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64)) (+.f64 (.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/3 binary64)))
(+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64)) (-.f64 (.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))
(*.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) #s(literal 2 binary64)))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64))))
(exp.f64 (log.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64))
(fma.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64)) #s(literal 2/15 binary64))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 289/99225 binary64))) (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64))) #s(literal 2/15 binary64))
(fma.f64 (.f64 x (sqrt.f64 #s(literal -17/315 binary64))) (.f64 x (sqrt.f64 #s(literal -17/315 binary64))) #s(literal 2/15 binary64))

simplify306.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

380×	`cancel-sign-sub-inv`
378×	`fma-neg`
350×	`associate-l`
335×	`associate-r`
320×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	674	12829
1	1366	11624
2	4385	11582

Stop Event

1×	node limit

Counts

393 → 408

Calls

Call 1

Inputs
(*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 6 binary64)))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 17/315 binary64)))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 6 binary64)))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 17/315 binary64)))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 4 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 17/315 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 17/315 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 17/315 binary64)))
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 4 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 17/315 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 17/315 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 17/315 binary64)))
#s(literal -1/3 binary64)
(-.f64 (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 4 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 17/315 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 4 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 17/315 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 #s(literal 26/27 binary64) x)
(*.f64 #s(literal 26/27 binary64) x)
(*.f64 #s(literal 26/27 binary64) x)
(*.f64 #s(literal 26/27 binary64) x)
(*.f64 #s(literal 26/27 binary64) x)
(*.f64 #s(literal 26/27 binary64) x)
(*.f64 #s(literal 26/27 binary64) x)
(*.f64 #s(literal 26/27 binary64) x)
(*.f64 #s(literal 26/27 binary64) x)
(*.f64 #s(literal 26/27 binary64) x)
(*.f64 #s(literal 26/27 binary64) x)
(*.f64 #s(literal 26/27 binary64) x)
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))
#s(literal -1/3 binary64)
#s(literal -1/3 binary64)
#s(literal 2/15 binary64)
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 17/315 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 17/315 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 17/315 binary64)))
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 17/315 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 17/315 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 17/315 binary64)))
(+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64)))
(+.f64 (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))))) #s(literal 1 binary64))
(/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) #s(literal 3 binary64)) #s(literal -1/27 binary64))) (+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 1/9 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal 1/3 binary64))))))
(/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal 2 binary64))) #s(literal -1/9 binary64))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) #s(literal 3 binary64)) #s(literal -1/27 binary64)) (pow.f64 x #s(literal 2 binary64))) (+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 1/9 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal 1/3 binary64))))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal 2 binary64))) #s(literal -1/9 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -4913/31255875 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal -17/315 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 289/99225 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -17/315 binary64)) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -4913/31255875 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64))))
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(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1/3 binary64))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal -4 binary64))) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal -1/3 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(literal -1/3 binary64))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 x x)
(*.f64 x (/.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) x))
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x))
(.f64 (.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(/.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
(/.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 x #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 4/225 binary64) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal 17/315 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 289/99225 binary64)) (+.f64 #s(literal 2/15 binary64) (*.f64 #s(literal 17/315 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)))
(*.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64))))
(.f64 (+.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -4913/31255875 binary64)) #s(literal 8/3375 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4/225 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 289/99225 binary64)) (.f64 #s(literal -34/4725 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 (-.f64 #s(literal 4/225 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 289/99225 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2/15 binary64) (*.f64 #s(literal 17/315 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4/225 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 289/99225 binary64)) (.f64 #s(literal -34/4725 binary64) (pow.f64 x #s(literal 2 binary64))))) (+.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -4913/31255875 binary64)) #s(literal 8/3375 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal 17/315 binary64) (pow.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 4/225 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 289/99225 binary64)))))
(/.f64 (+.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -4913/31255875 binary64)) #s(literal 8/3375 binary64)) (+.f64 #s(literal 4/225 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 289/99225 binary64)) (*.f64 #s(literal -34/4725 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (+.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -4913/31255875 binary64)) #s(literal 8/3375 binary64)) (+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 289/99225 binary64)) (-.f64 #s(literal 4/225 binary64) (*.f64 #s(literal -34/4725 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 4/225 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 289/99225 binary64))) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal 17/315 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -4913/31255875 binary64)) #s(literal 8/3375 binary64))) (neg.f64 (+.f64 #s(literal 4/225 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 289/99225 binary64)) (*.f64 #s(literal -34/4725 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 4/225 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 289/99225 binary64)))) (neg.f64 (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal 17/315 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 289/99225 binary64)) #s(literal 4/225 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64)) #s(literal 2/15 binary64)))
(pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64))))
(exp.f64 (log.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64))
(fma.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64)) #s(literal 2/15 binary64))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 289/99225 binary64))) (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64))) #s(literal 2/15 binary64))
(fma.f64 (.f64 x (sqrt.f64 #s(literal -17/315 binary64))) (.f64 x (sqrt.f64 #s(literal -17/315 binary64))) #s(literal 2/15 binary64))

Outputs
(*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 6 binary64)))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 17/315 binary64)))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -17/315 binary64)))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -17/315 binary64)))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -17/315 binary64)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -17/315 binary64)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -17/315 binary64)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -17/315 binary64)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 6 binary64)))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 17/315 binary64)))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -17/315 binary64)))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -17/315 binary64)))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -17/315 binary64)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -17/315 binary64)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -17/315 binary64)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -17/315 binary64)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64))
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 4 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 17/315 binary64)))
(*.f64 (+.f64 (/.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -17/315 binary64)) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (fma.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -17/315 binary64)) (pow.f64 x #s(literal 4 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 17/315 binary64)))
(*.f64 (+.f64 (/.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -17/315 binary64)) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (fma.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -17/315 binary64)) (pow.f64 x #s(literal 4 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 17/315 binary64)))
(*.f64 (+.f64 (/.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -17/315 binary64)) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (fma.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -17/315 binary64)) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 4 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 17/315 binary64)))
(*.f64 (+.f64 (/.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -17/315 binary64)) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (fma.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -17/315 binary64)) (pow.f64 x #s(literal 4 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 17/315 binary64)))
(*.f64 (+.f64 (/.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -17/315 binary64)) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (fma.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -17/315 binary64)) (pow.f64 x #s(literal 4 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 17/315 binary64)))
(*.f64 (+.f64 (/.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -17/315 binary64)) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (fma.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -17/315 binary64)) (pow.f64 x #s(literal 4 binary64)))
#s(literal -1/3 binary64)
(-.f64 (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))
(fma.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 4 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 17/315 binary64)))
(*.f64 (+.f64 (/.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -17/315 binary64)) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (fma.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -17/315 binary64)) (pow.f64 x #s(literal 4 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -17/315 binary64)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -17/315 binary64)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -17/315 binary64)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -17/315 binary64)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 4 binary64)))
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(/.f64 (neg.f64 (-.f64 #s(literal 4/225 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 289/99225 binary64)))) (neg.f64 (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal 17/315 binary64) (pow.f64 x #s(literal 2 binary64))))))
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(/.f64 (+.f64 #s(literal 4/225 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -289/99225 binary64))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 17/315 binary64) #s(literal 2/15 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 289/99225 binary64) #s(literal -4/225 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal -2/15 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 289/99225 binary64)) #s(literal 4/225 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64)) #s(literal 2/15 binary64)))
(/.f64 (-.f64 #s(literal 4/225 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 289/99225 binary64))) (+.f64 #s(literal 2/15 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 17/315 binary64))))
(/.f64 (+.f64 #s(literal 4/225 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -289/99225 binary64))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 17/315 binary64) #s(literal 2/15 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 289/99225 binary64) #s(literal -4/225 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal -2/15 binary64)))
(pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) #s(literal 3 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64))
(pow.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) #s(literal 2 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal 2 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64))
(log.f64 (exp.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal 3 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64))
(exp.f64 (log.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64))
(exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64))
(fma.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64)) #s(literal 2/15 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 289/99225 binary64))) (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64))) #s(literal 2/15 binary64))
(fma.f64 (.f64 x (sqrt.f64 #s(literal -17/315 binary64))) (.f64 x (sqrt.f64 #s(literal -17/315 binary64))) #s(literal 2/15 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64))

eval67.0ms (0.8%)

Compiler: Compiled 9832 to 2063 computations (79% saved)

prune127.0ms (1.5%)

Pruning

13 alts after pruning (8 fresh and 5 done)

	Pruned	Kept	Total
New	501	4	505
Fresh	0	4	4
Picked	3	2	5
Done	0	3	3
Total	504	13	517

Accuracy

98.1%

Counts

517 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	8.7%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
▶	97.0%	(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
▶	5.6%	(/.f64 #s(literal 3 binary64) (fma.f64 x x #s(literal 2 binary64)))
	5.4%	(/.f64 #s(literal 3 binary64) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))))
✓	96.9%	(+.f64 x (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
	32.2%	(.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/3 binary64)))
▶	32.1%	(.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)))
▶	97.1%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal -17/315 binary64) (*.f64 x x)))) #s(literal 1/3 binary64)))))
✓	97.2%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))))
	22.5%	(*.f64 x (+.f64 #s(literal 1 binary64) #s(literal -1/9 binary64)))
▶	24.9%	(*.f64 x #s(literal 26/27 binary64))
✓	96.5%	x
✓	5.8%	#s(literal 3/2 binary64)

Compiler

Compiled 236 to 165 computations (30.1% saved)

localize273.0ms (3.3%)

Algorithm

1×	egg-herbie

Localize:

Found 30 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(exp.f64 x)
	cost-diff	0	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
	cost-diff	0	(pow.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
✓	cost-diff	-6208	(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))
✓	cost-diff	-5888	(.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
	cost-diff	0	(pow.f64 x #s(literal 3 binary64))
✓	cost-diff	0	(fma.f64 x x #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 #s(literal 3 binary64) (fma.f64 x x #s(literal 2 binary64)))
✓	cost-diff	0	(*.f64 x #s(literal 26/27 binary64))
✓	cost-diff	-12608	(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal -17/315 binary64) (*.f64 x x))))
✓	cost-diff	-6336	(*.f64 x x)
✓	cost-diff	-6336	(.f64 #s(literal -17/315 binary64) (.f64 x x))
	cost-diff	0	(pow.f64 x #s(literal 2 binary64))
	accuracy	100.0%	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
✓	accuracy	100.0%	(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
✓	accuracy	99.7%	(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
	accuracy	100.0%	(pow.f64 x #s(literal 3 binary64))
✓	accuracy	100.0%	(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))
✓	accuracy	99.6%	(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	36.3%	(.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)))
✓	accuracy	100.0%	(fma.f64 x x #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 3 binary64) (fma.f64 x x #s(literal 2 binary64)))
✓	accuracy	99.4%	(*.f64 x #s(literal 26/27 binary64))
✓	accuracy	100.0%	(-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal -17/315 binary64) (*.f64 x x)))) #s(literal 1/3 binary64))
✓	accuracy	99.8%	(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal -17/315 binary64) (*.f64 x x))))
✓	accuracy	99.7%	(.f64 #s(literal -17/315 binary64) (.f64 x x))
✓	accuracy	99.7%	(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal -17/315 binary64) (.f64 x x)))) #s(literal 1/3 binary64)))

Rules

736×	`fma-define`
492×	`distribute-lft-in`
462×	`distribute-rgt-in`
347×	`fma-neg`
251×	`exp-prod`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	39	703
1	97	647
2	207	634
3	571	618
4	1290	618
5	3311	618
6	5794	618

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal -17/315 binary64) (*.f64 x x)))) #s(literal 1/3 binary64)))))
x
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal -17/315 binary64) (.f64 x x)))) #s(literal 1/3 binary64))))
#s(literal 1 binary64)
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal -17/315 binary64) (.f64 x x)))) #s(literal 1/3 binary64)))
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal -17/315 binary64) (*.f64 x x)))) #s(literal 1/3 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal -17/315 binary64) (*.f64 x x))))
(+.f64 #s(literal 2/15 binary64) (.f64 #s(literal -17/315 binary64) (.f64 x x)))
#s(literal 2/15 binary64)
(.f64 #s(literal -17/315 binary64) (.f64 x x))
#s(literal -17/315 binary64)
(*.f64 x x)
#s(literal 1/3 binary64)
(*.f64 x #s(literal 26/27 binary64))
x
#s(literal 26/27 binary64)
(/.f64 #s(literal 3 binary64) (fma.f64 x x #s(literal 2 binary64)))
#s(literal 3 binary64)
(fma.f64 x x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(literal 1/3 binary64)
(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
x
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(literal 2 binary64)
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal 1/3 binary64)
(pow.f64 x #s(literal 2 binary64))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
(exp.f64 (neg.f64 x))
(neg.f64 x)

Outputs
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal -17/315 binary64) (*.f64 x x)))) #s(literal 1/3 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64))) #s(literal -1/3 binary64)))))
(+.f64 x (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) (fma.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/3 binary64))) (pow.f64 x #s(literal 3 binary64)) x)
(fma.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (pow.f64 x #s(literal 5 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
(fma.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/3 binary64)) x))
x
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal -17/315 binary64) (.f64 x x)))) #s(literal 1/3 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64))) #s(literal -1/3 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) (fma.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/3 binary64))) #s(literal 1 binary64))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal 1 binary64)))
#s(literal 1 binary64)
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal -17/315 binary64) (.f64 x x)))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64))) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) (fma.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/3 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64) (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (pow.f64 x #s(literal 4 binary64))))
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal -17/315 binary64) (*.f64 x x)))) #s(literal 1/3 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64))) #s(literal -1/3 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) (fma.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/3 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal -17/315 binary64) (*.f64 x x))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)))
(fma.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64)))
(+.f64 #s(literal 2/15 binary64) (.f64 #s(literal -17/315 binary64) (.f64 x x)))
(+.f64 #s(literal 2/15 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64))
#s(literal 2/15 binary64)
(.f64 #s(literal -17/315 binary64) (.f64 x x))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64))
#s(literal -17/315 binary64)
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
#s(literal 1/3 binary64)
(*.f64 x #s(literal 26/27 binary64))
x
#s(literal 26/27 binary64)
(/.f64 #s(literal 3 binary64) (fma.f64 x x #s(literal 2 binary64)))
#s(literal 3 binary64)
(fma.f64 x x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -1/3 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(literal -1/3 binary64))
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal -1/3 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -1/3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(literal 1/3 binary64)
(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(.f64 x (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 x (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) #s(literal 2 binary64)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) #s(literal 2 binary64)))
(fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64)))
x
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(pow.f64 x #s(literal 2 binary64))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
(exp.f64 (neg.f64 x))
(neg.f64 x)

Results

107.0ms

256×

valid

Compiler

Compiled 220 to 34 computations (84.5% saved)

Precisions

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

ival-mult: 16.0ms (23.1% of total)

...c/correct-round.rkt:119:19: 16.0ms (23.1% of total)

ival-pow: 12.0ms (17.3% of total)

ival-add: 8.0ms (11.5% of total)

ival-div: 5.0ms (7.2% of total)

ival-exp: 4.0ms (5.8% of total)

ival-fma: 3.0ms (4.3% of total)

ival-sub: 2.0ms (2.9% of total)

const: 1.0ms (1.4% of total)

ival-neg: 1.0ms (1.4% of total)

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

series21.0ms (0.3%)

Counts

15 → 153

Calls

Call 1

Inputs
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal -17/315 binary64) (.f64 x x)))) #s(literal 1/3 binary64)))>
#<alt (.f64 #s(literal -17/315 binary64) (.f64 x x))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal -17/315 binary64) (*.f64 x x))))>
#<alt (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal -17/315 binary64) (*.f64 x x)))) #s(literal 1/3 binary64))>
#<alt (*.f64 x #s(literal 26/27 binary64))>
#<alt (/.f64 #s(literal 3 binary64) (fma.f64 x x #s(literal 2 binary64)))>
#<alt (fma.f64 x x #s(literal 2 binary64))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))>
#<alt (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))>
#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))>
#<alt (*.f64 x x)>
#<alt (/.f64 #s(literal 1 binary64) x)>

Outputs
#<alt (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/3 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/3 binary64)))>
#<alt (*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 6 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 17/315 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 6 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 17/315 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 17/315 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 17/315 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 17/315 binary64)))>
#<alt (*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 17/315 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 17/315 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 17/315 binary64)))>
#<alt #s(literal -1/3 binary64)>
#<alt (-.f64 (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))>
#<alt (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/3 binary64))>
#<alt (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/3 binary64))>
#<alt (*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 17/315 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 17/315 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (*.f64 #s(literal 26/27 binary64) x)>
#<alt (*.f64 #s(literal 26/27 binary64) x)>
#<alt (*.f64 #s(literal 26/27 binary64) x)>
#<alt (*.f64 #s(literal 26/27 binary64) x)>
#<alt (*.f64 #s(literal 26/27 binary64) x)>
#<alt (*.f64 #s(literal 26/27 binary64) x)>
#<alt (*.f64 #s(literal 26/27 binary64) x)>
#<alt (*.f64 #s(literal 26/27 binary64) x)>
#<alt (*.f64 #s(literal 26/27 binary64) x)>
#<alt (*.f64 #s(literal 26/27 binary64) x)>
#<alt (*.f64 #s(literal 26/27 binary64) x)>
#<alt (*.f64 #s(literal 26/27 binary64) x)>
#<alt #s(literal 3/2 binary64)>
#<alt (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal -3/4 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 3/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))))>
#<alt (+.f64 #s(literal 3/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -3/16 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 3/4 binary64))))>
#<alt (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 12 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 12 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 24 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 12 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 12 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 24 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))>
#<alt (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))>
#<alt #s(literal -1/3 binary64)>
#<alt (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))>
#<alt (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))>
#<alt (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))>
#<alt #s(literal -1/3 binary64)>
#<alt (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))>
#<alt (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))>
#<alt (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/20 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/3 binary64)))))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))>
#<alt (.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x)))))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x)))))) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x)))))))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x)))))) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x)))))))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x)))))) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x)))))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>

Calls

45 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(* 1/3 (pow x 2))
1.0ms	x	@	-inf	(/ (* x (+ 2 (* 1/3 (pow x 2)))) (+ (exp x) (exp (neg x))))
1.0ms	x	@	inf	(/ (* x (+ 2 (* 1/3 (pow x 2)))) (+ (exp x) (exp (neg x))))
0.0ms	x	@	0	(/ 3 (+ (* x x) 2))
0.0ms	x	@	0	(* x (+ 2 (* 1/3 (pow x 2))))

rewrite64.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

258×	`log1p-expm1-u`
258×	`expm1-log1p-u`
251×	`add-exp-log`
251×	`add-log-exp`
250×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	381
1	598	381

Stop Event

1×	node limit

Counts

15 → 368

Calls

Call 1

Inputs
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal -17/315 binary64) (.f64 x x)))) #s(literal 1/3 binary64)))
(.f64 #s(literal -17/315 binary64) (.f64 x x))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal -17/315 binary64) (*.f64 x x))))
(-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal -17/315 binary64) (*.f64 x x)))) #s(literal 1/3 binary64))
(*.f64 x #s(literal 26/27 binary64))
(/.f64 #s(literal 3 binary64) (fma.f64 x x #s(literal 2 binary64)))
(fma.f64 x x #s(literal 2 binary64))
(.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 x x)
(/.f64 #s(literal 1 binary64) x)

Outputs
#s(literal 3944/3969 binary64)
#s(literal 73/68 binary64)
#s(literal 68/63 binary64)
#s(literal 4624/3969 binary64)
#s(literal 4964/3969 binary64)
#s(literal 314432/250047 binary64)
#s(literal -17/315 binary64)
#s(literal -4913/31255875 binary64)
#s(literal 289/99225 binary64)
#s(literal 5/63 binary64)
#s(literal 3944/3969 binary64)
#s(literal 73/68 binary64)
#s(literal 68/63 binary64)
#s(literal 4624/3969 binary64)
#s(literal 4964/3969 binary64)
#s(literal 314432/250047 binary64)
#s(literal 676/729 binary64)
#s(literal 26/27 binary64)
#s(literal -9 binary64)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -73/63 binary64)
#s(literal -4309/3969 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/3 binary64)
#s(literal -1/9 binary64)
#s(literal -1/27 binary64)
#s(literal 0 binary64)
#s(literal 1/19683 binary64)
#s(literal 1/729 binary64)
#s(literal 1/81 binary64)
#s(literal 1/27 binary64)
#s(literal 1/9 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 2/3 binary64)
#s(literal 3/4 binary64)
#s(literal 63/73 binary64)
#s(literal 1 binary64)
#s(literal 73/63 binary64)
#s(literal 5329/3969 binary64)
#s(literal 3/2 binary64)
#s(literal 389017/250047 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal 9 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)
#s(literal -9 binary64)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -73/63 binary64)
#s(literal -4309/3969 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/3 binary64)
#s(literal -1/9 binary64)
#s(literal -1/27 binary64)
#s(literal 0 binary64)
#s(literal 1/19683 binary64)
#s(literal 1/729 binary64)
#s(literal 1/81 binary64)
#s(literal 1/27 binary64)
#s(literal 1/9 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 2/3 binary64)
#s(literal 3/4 binary64)
#s(literal 63/73 binary64)
#s(literal 1 binary64)
#s(literal 73/63 binary64)
#s(literal 5329/3969 binary64)
#s(literal 3/2 binary64)
#s(literal 389017/250047 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal 9 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)
#s(literal -9 binary64)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -73/63 binary64)
#s(literal -4309/3969 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/3 binary64)
#s(literal -1/9 binary64)
#s(literal -1/27 binary64)
#s(literal 0 binary64)
#s(literal 1/19683 binary64)
#s(literal 1/729 binary64)
#s(literal 1/81 binary64)
#s(literal 1/27 binary64)
#s(literal 1/9 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 2/3 binary64)
#s(literal 3/4 binary64)
#s(literal 63/73 binary64)
#s(literal 1 binary64)
#s(literal 73/63 binary64)
#s(literal 5329/3969 binary64)
#s(literal 3/2 binary64)
#s(literal 389017/250047 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal 9 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)
#s(literal -9 binary64)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -73/63 binary64)
#s(literal -4309/3969 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/3 binary64)
#s(literal -1/9 binary64)
#s(literal -1/27 binary64)
#s(literal 0 binary64)
#s(literal 1/19683 binary64)
#s(literal 1/729 binary64)
#s(literal 1/81 binary64)
#s(literal 1/27 binary64)
#s(literal 1/9 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 2/3 binary64)
#s(literal 3/4 binary64)
#s(literal 63/73 binary64)
#s(literal 1 binary64)
#s(literal 73/63 binary64)
#s(literal 5329/3969 binary64)
#s(literal 3/2 binary64)
#s(literal 389017/250047 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal 9 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)
#s(literal -9 binary64)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -73/63 binary64)
#s(literal -4309/3969 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/3 binary64)
#s(literal -1/9 binary64)
#s(literal -1/27 binary64)
#s(literal 0 binary64)
#s(literal 1/19683 binary64)
#s(literal 1/729 binary64)
#s(literal 1/81 binary64)
#s(literal 1/27 binary64)
#s(literal 1/9 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 2/3 binary64)
#s(literal 3/4 binary64)
#s(literal 63/73 binary64)
#s(literal 1 binary64)
#s(literal 73/63 binary64)
#s(literal 5329/3969 binary64)
#s(literal 3/2 binary64)
#s(literal 389017/250047 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal 9 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)
#s(literal -9 binary64)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -73/63 binary64)
#s(literal -4309/3969 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/3 binary64)
#s(literal -1/9 binary64)
#s(literal -1/27 binary64)
#s(literal 0 binary64)
#s(literal 1/19683 binary64)
#s(literal 1/729 binary64)
#s(literal 1/81 binary64)
#s(literal 1/27 binary64)
#s(literal 1/9 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 2/3 binary64)
#s(literal 3/4 binary64)
#s(literal 63/73 binary64)
#s(literal 1 binary64)
#s(literal 73/63 binary64)
#s(literal 5329/3969 binary64)
#s(literal 3/2 binary64)
#s(literal 389017/250047 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal 9 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)
#s(literal -9 binary64)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -73/63 binary64)
#s(literal -4309/3969 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/3 binary64)
#s(literal -1/9 binary64)
#s(literal -1/27 binary64)
#s(literal 0 binary64)
#s(literal 1/19683 binary64)
#s(literal 1/729 binary64)
#s(literal 1/81 binary64)
#s(literal 1/27 binary64)
#s(literal 1/9 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 2/3 binary64)
#s(literal 3/4 binary64)
#s(literal 63/73 binary64)
#s(literal 1 binary64)
#s(literal 73/63 binary64)
#s(literal 5329/3969 binary64)
#s(literal 3/2 binary64)
#s(literal 389017/250047 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal 9 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)
#s(literal -9 binary64)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -73/63 binary64)
#s(literal -4309/3969 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/3 binary64)
#s(literal -1/9 binary64)
#s(literal -1/27 binary64)
#s(literal 0 binary64)
#s(literal 1/19683 binary64)
#s(literal 1/729 binary64)
#s(literal 1/81 binary64)
#s(literal 1/27 binary64)
#s(literal 1/9 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 2/3 binary64)
#s(literal 3/4 binary64)
#s(literal 63/73 binary64)
#s(literal 1 binary64)
#s(literal 73/63 binary64)
#s(literal 5329/3969 binary64)
#s(literal 3/2 binary64)
#s(literal 389017/250047 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal 9 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)
#s(literal -9 binary64)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -73/63 binary64)
#s(literal -4309/3969 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/3 binary64)
#s(literal -1/9 binary64)
#s(literal -1/27 binary64)
#s(literal 0 binary64)
#s(literal 1/19683 binary64)
#s(literal 1/729 binary64)
#s(literal 1/81 binary64)
#s(literal 1/27 binary64)
#s(literal 1/9 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 2/3 binary64)
#s(literal 3/4 binary64)
#s(literal 63/73 binary64)
#s(literal 1 binary64)
#s(literal 73/63 binary64)
#s(literal 5329/3969 binary64)
#s(literal 3/2 binary64)
#s(literal 389017/250047 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal 9 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)
#s(literal -9 binary64)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -73/63 binary64)
#s(literal -4309/3969 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/3 binary64)
#s(literal -1/9 binary64)
#s(literal -1/27 binary64)
#s(literal 0 binary64)
#s(literal 1/19683 binary64)
#s(literal 1/729 binary64)
#s(literal 1/81 binary64)
#s(literal 1/27 binary64)
#s(literal 1/9 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 2/3 binary64)
#s(literal 3/4 binary64)
#s(literal 63/73 binary64)
#s(literal 1 binary64)
#s(literal 73/63 binary64)
#s(literal 5329/3969 binary64)
#s(literal 3/2 binary64)
#s(literal 389017/250047 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal 9 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)

simplify146.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

638×	`associate-*r/`
505×	`fma-neg`
466×	`associate-*l/`
398×	`associate-/r*`
366×	`distribute-lft-in`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	167	4726
1	383	4529
2	918	4361
3	2888	4106
4	7326	4090

Stop Event

1×	node limit

Counts

521 → 153

Calls

Call 1

Inputs
(*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/3 binary64)))
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 6 binary64)))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 17/315 binary64)))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 6 binary64)))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 17/315 binary64)))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 4 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 17/315 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 17/315 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 17/315 binary64)))
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 4 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 17/315 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 17/315 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 17/315 binary64)))
#s(literal -1/3 binary64)
(-.f64 (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))
(-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/3 binary64))
(-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/3 binary64))
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 4 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 17/315 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 4 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 17/315 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 #s(literal 26/27 binary64) x)
(*.f64 #s(literal 26/27 binary64) x)
(*.f64 #s(literal 26/27 binary64) x)
(*.f64 #s(literal 26/27 binary64) x)
(*.f64 #s(literal 26/27 binary64) x)
(*.f64 #s(literal 26/27 binary64) x)
(*.f64 #s(literal 26/27 binary64) x)
(*.f64 #s(literal 26/27 binary64) x)
(*.f64 #s(literal 26/27 binary64) x)
(*.f64 #s(literal 26/27 binary64) x)
(*.f64 #s(literal 26/27 binary64) x)
(*.f64 #s(literal 26/27 binary64) x)
#s(literal 3/2 binary64)
(+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal -3/4 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 3/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))))
(+.f64 #s(literal 3/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -3/16 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 3/4 binary64))))
(/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 12 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 12 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 24 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 12 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 12 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 24 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (pow.f64 x #s(literal 2 binary64)))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 x #s(literal 2 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))
#s(literal -1/3 binary64)
(-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))
#s(literal -1/3 binary64)
(-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/20 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/3 binary64)))))
(*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x)))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x)))))) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x)))))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x)))))) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x)))))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x)))))) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x)))))))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
#s(literal 3944/3969 binary64)
#s(literal 73/68 binary64)
#s(literal 68/63 binary64)
#s(literal 4624/3969 binary64)
#s(literal 4964/3969 binary64)
#s(literal 314432/250047 binary64)
#s(literal -17/315 binary64)
#s(literal -4913/31255875 binary64)
#s(literal 289/99225 binary64)
#s(literal 5/63 binary64)
#s(literal 3944/3969 binary64)
#s(literal 73/68 binary64)
#s(literal 68/63 binary64)
#s(literal 4624/3969 binary64)
#s(literal 4964/3969 binary64)
#s(literal 314432/250047 binary64)
#s(literal 676/729 binary64)
#s(literal 26/27 binary64)
#s(literal -9 binary64)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -73/63 binary64)
#s(literal -4309/3969 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/3 binary64)
#s(literal -1/9 binary64)
#s(literal -1/27 binary64)
#s(literal 0 binary64)
#s(literal 1/19683 binary64)
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#s(literal 1/27 binary64)
#s(literal 1/9 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 2/3 binary64)
#s(literal 3/4 binary64)
#s(literal 63/73 binary64)
#s(literal 1 binary64)
#s(literal 73/63 binary64)
#s(literal 5329/3969 binary64)
#s(literal 3/2 binary64)
#s(literal 389017/250047 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal 9 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)
#s(literal -9 binary64)
#s(literal -3 binary64)
#s(literal -2 binary64)
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#s(literal -4309/3969 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/3 binary64)
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#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 2/3 binary64)
#s(literal 3/4 binary64)
#s(literal 63/73 binary64)
#s(literal 1 binary64)
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#s(literal 5329/3969 binary64)
#s(literal 3/2 binary64)
#s(literal 389017/250047 binary64)
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#s(literal 512 binary64)
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#s(literal -73/63 binary64)
#s(literal -4309/3969 binary64)
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#s(literal -1/3 binary64)
#s(literal -1/9 binary64)
#s(literal -1/27 binary64)
#s(literal 0 binary64)
#s(literal 1/19683 binary64)
#s(literal 1/729 binary64)
#s(literal 1/81 binary64)
#s(literal 1/27 binary64)
#s(literal 1/9 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 2/3 binary64)
#s(literal 3/4 binary64)
#s(literal 63/73 binary64)
#s(literal 1 binary64)
#s(literal 73/63 binary64)
#s(literal 5329/3969 binary64)
#s(literal 3/2 binary64)
#s(literal 389017/250047 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal 9 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)
#s(literal -9 binary64)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -73/63 binary64)
#s(literal -4309/3969 binary64)
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#s(literal -1/3 binary64)
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#s(literal -1/27 binary64)
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#s(literal 1/19683 binary64)
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#s(literal 1/27 binary64)
#s(literal 1/9 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 2/3 binary64)
#s(literal 3/4 binary64)
#s(literal 63/73 binary64)
#s(literal 1 binary64)
#s(literal 73/63 binary64)
#s(literal 5329/3969 binary64)
#s(literal 3/2 binary64)
#s(literal 389017/250047 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal 9 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)
#s(literal -9 binary64)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -73/63 binary64)
#s(literal -4309/3969 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/3 binary64)
#s(literal -1/9 binary64)
#s(literal -1/27 binary64)
#s(literal 0 binary64)
#s(literal 1/19683 binary64)
#s(literal 1/729 binary64)
#s(literal 1/81 binary64)
#s(literal 1/27 binary64)
#s(literal 1/9 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 2/3 binary64)
#s(literal 3/4 binary64)
#s(literal 63/73 binary64)
#s(literal 1 binary64)
#s(literal 73/63 binary64)
#s(literal 5329/3969 binary64)
#s(literal 3/2 binary64)
#s(literal 389017/250047 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal 9 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)
#s(literal -9 binary64)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -73/63 binary64)
#s(literal -4309/3969 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/3 binary64)
#s(literal -1/9 binary64)
#s(literal -1/27 binary64)
#s(literal 0 binary64)
#s(literal 1/19683 binary64)
#s(literal 1/729 binary64)
#s(literal 1/81 binary64)
#s(literal 1/27 binary64)
#s(literal 1/9 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 2/3 binary64)
#s(literal 3/4 binary64)
#s(literal 63/73 binary64)
#s(literal 1 binary64)
#s(literal 73/63 binary64)
#s(literal 5329/3969 binary64)
#s(literal 3/2 binary64)
#s(literal 389017/250047 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal 9 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)
#s(literal -9 binary64)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -73/63 binary64)
#s(literal -4309/3969 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/3 binary64)
#s(literal -1/9 binary64)
#s(literal -1/27 binary64)
#s(literal 0 binary64)
#s(literal 1/19683 binary64)
#s(literal 1/729 binary64)
#s(literal 1/81 binary64)
#s(literal 1/27 binary64)
#s(literal 1/9 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 2/3 binary64)
#s(literal 3/4 binary64)
#s(literal 63/73 binary64)
#s(literal 1 binary64)
#s(literal 73/63 binary64)
#s(literal 5329/3969 binary64)
#s(literal 3/2 binary64)
#s(literal 389017/250047 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal 9 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)
#s(literal -9 binary64)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -73/63 binary64)
#s(literal -4309/3969 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/3 binary64)
#s(literal -1/9 binary64)
#s(literal -1/27 binary64)
#s(literal 0 binary64)
#s(literal 1/19683 binary64)
#s(literal 1/729 binary64)
#s(literal 1/81 binary64)
#s(literal 1/27 binary64)
#s(literal 1/9 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 2/3 binary64)
#s(literal 3/4 binary64)
#s(literal 63/73 binary64)
#s(literal 1 binary64)
#s(literal 73/63 binary64)
#s(literal 5329/3969 binary64)
#s(literal 3/2 binary64)
#s(literal 389017/250047 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal 9 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)
#s(literal -9 binary64)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -73/63 binary64)
#s(literal -4309/3969 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/3 binary64)
#s(literal -1/9 binary64)
#s(literal -1/27 binary64)
#s(literal 0 binary64)
#s(literal 1/19683 binary64)
#s(literal 1/729 binary64)
#s(literal 1/81 binary64)
#s(literal 1/27 binary64)
#s(literal 1/9 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 2/3 binary64)
#s(literal 3/4 binary64)
#s(literal 63/73 binary64)
#s(literal 1 binary64)
#s(literal 73/63 binary64)
#s(literal 5329/3969 binary64)
#s(literal 3/2 binary64)
#s(literal 389017/250047 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal 9 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)
#s(literal -9 binary64)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -73/63 binary64)
#s(literal -4309/3969 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/3 binary64)
#s(literal -1/9 binary64)
#s(literal -1/27 binary64)
#s(literal 0 binary64)
#s(literal 1/19683 binary64)
#s(literal 1/729 binary64)
#s(literal 1/81 binary64)
#s(literal 1/27 binary64)
#s(literal 1/9 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 2/3 binary64)
#s(literal 3/4 binary64)
#s(literal 63/73 binary64)
#s(literal 1 binary64)
#s(literal 73/63 binary64)
#s(literal 5329/3969 binary64)
#s(literal 3/2 binary64)
#s(literal 389017/250047 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal 9 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)

Outputs
(*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64))) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) (fma.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/3 binary64))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64))) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) (fma.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/3 binary64))))
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 6 binary64)))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 17/315 binary64)))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -17/315 binary64)))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -17/315 binary64) (+.f64 (/.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -17/315 binary64) (+.f64 (/.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 6 binary64)))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 17/315 binary64)))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -17/315 binary64)))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -17/315 binary64) (+.f64 (/.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -17/315 binary64) (+.f64 (/.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64))
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64))
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64))
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64))
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64))
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64))
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64))
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64))
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64))
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64))
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64))
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64)))
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eval35.0ms (0.4%)

Compiler: Compiled 4319 to 906 computations (79% saved)

prune37.0ms (0.5%)

Pruning

13 alts after pruning (8 fresh and 5 done)

	Pruned	Kept	Total
New	266	6	272
Fresh	1	2	3
Picked	3	2	5
Done	2	3	5
Total	272	13	285

Accuracy

100.0%

Counts

285 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	8.7%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
	97.2%	(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64))))))
	97.0%	(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
	5.4%	(/.f64 #s(literal 3 binary64) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))))
✓	96.9%	(+.f64 x (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
	32.2%	(.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/3 binary64)))
✓	32.1%	(.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)))
	97.1%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal -17/315 binary64) (.f64 x x)))) #s(literal 1/3 binary64)))))
	97.1%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))))
✓	24.9%	(*.f64 x #s(literal 26/27 binary64))
✓	96.5%	x
	7.7%	#s(literal 1 binary64)
	5.9%	#s(literal 63/73 binary64)

Compiler

Compiled 416 to 199 computations (52.2% saved)

regimes15.0ms (0.2%)

Counts

25 → 2

Calls

Call 1

Inputs
#s(literal 63/73 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
x
(*.f64 x #s(literal 26/27 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) #s(literal -1/9 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) #s(literal -1/27 binary64)))
(/.f64 #s(literal 3 binary64) (fma.f64 x x #s(literal 2 binary64)))
(+.f64 x (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/3 binary64)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)))
(/.f64 #s(literal 3 binary64) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal -17/315 binary64) (.f64 x x)))) #s(literal 1/3 binary64)))))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(/.f64 #s(literal 3 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))))
(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal -17/315 binary64) (*.f64 x x)))) #s(literal 1/3 binary64)))))
(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/3 binary64)))))
(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64))))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Outputs

(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 #s(literal -17/315 binary64) (*.f64 x x)))) #s(literal 1/3 binary64)))))

#s(literal 1 binary64)

Calls

2 calls:

8.0ms	x
6.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Results

Accuracy	Segments	Branch
99.4%	2	`x`
99.4%	2	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`

Compiler

Compiled 16 to 8 computations (50% saved)

regimes5.0ms (0.1%)

Counts

13 → 2

Calls

Call 1

Inputs
#s(literal 63/73 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
x
(*.f64 x #s(literal 26/27 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) #s(literal -1/9 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) #s(literal -1/27 binary64)))
(/.f64 #s(literal 3 binary64) (fma.f64 x x #s(literal 2 binary64)))
(+.f64 x (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/3 binary64)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)))
(/.f64 #s(literal 3 binary64) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))))

Outputs
(+.f64 x (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(literal 1 binary64)

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
99.2%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

8 → 2

Calls

Call 1

Inputs
#s(literal 63/73 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
x
(*.f64 x #s(literal 26/27 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) #s(literal -1/9 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) #s(literal -1/27 binary64)))
(/.f64 #s(literal 3 binary64) (fma.f64 x x #s(literal 2 binary64)))

Outputs
x
#s(literal 1 binary64)

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
98.5%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

3 → 1

Calls

Call 1

Inputs
#s(literal 63/73 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)

Outputs
#s(literal 1 binary64)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
7.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 63/73 binary64)

Outputs
#s(literal 63/73 binary64)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
5.9%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.8225170710795712	NaN

Compiler

Compiled 18 to 10 computations (44.4% saved)

bsearch8.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	0.4121006982737278	1.1645497007461356

Results

5.0ms

80×

valid

Compiler

Compiled 78 to 60 computations (23.1% saved)

Precisions

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

ival-exp: 1.0ms (31.6% of total)

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

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

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

const: 0.0ms (0% of total)

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

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

bsearch9.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	0.4121006982737278	1.1645497007461356

Results

6.0ms

80×

valid

Compiler

Compiled 48 to 35 computations (27.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-exp: 2.0ms (50% of total)

ival-sub: 1.0ms (25% of total)

ival-div: 1.0ms (25% of total)

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

const: 0.0ms (0% of total)

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

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

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

9×	`+-commutative`
8×	`*-commutative`
5×	`sub-neg`
3×	`1-exp`
3×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	200
1	63	200
2	71	200
3	76	200
4	78	200

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #s(literal 1 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal -17/315 binary64) (.f64 x x)))) #s(literal 1/3 binary64))))) #s(literal 1 binary64))
(if (<=.f64 x #s(literal 2589569785738035/2251799813685248 binary64)) (+.f64 x (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64))
(if (<=.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 63/73 binary64)

Outputs
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #s(literal 1 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal -17/315 binary64) (.f64 x x)))) #s(literal 1/3 binary64))))) #s(literal 1 binary64))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #s(literal 1 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal -17/315 binary64)))) #s(literal 1/3 binary64))))) #s(literal 1 binary64))
(if (<=.f64 x #s(literal 2589569785738035/2251799813685248 binary64)) (+.f64 x (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64))
(if (<=.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 63/73 binary64)

soundness600.0ms (7.3%)

Rules

1095×	`log1p-expm1-u`
784×	`expm1-log1p-u`
569×	`distribute-lft-in`
537×	`distribute-rgt-in`
535×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	297
1	369	277
2	5052	277
0	87	2374
1	177	2208
2	430	2018
3	1317	1994
4	4136	1994
5	7639	1994
0	95	1127
1	262	1030
2	715	1006
3	2124	1006
4	3097	1006
5	4612	1006
6	5294	1006
7	6690	1006
0	37	381
1	598	381
0	12	70
1	174	70
2	3404	70

Stop Event

1×	fuel
1×	unsound
1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 185 to 92 computations (50.3% saved)

preprocess41.0ms (0.5%)

Compiler: Compiled 224 to 128 computations (42.9% saved)

analyze0.0ms (0%)

sample4.0s (49.1%)

preprocess146.0ms (1.8%)

explain280.0ms (3.4%)

eval0.0ms (0%)

prune1.0ms (0%)

localize154.0ms (1.9%)

series19.0ms (0.2%)

rewrite369.0ms (4.5%)

simplify132.0ms (1.6%)

eval16.0ms (0.2%)

prune15.0ms (0.2%)

localize336.0ms (4.1%)

series19.0ms (0.2%)

rewrite61.0ms (0.7%)

simplify229.0ms (2.8%)

eval12.0ms (0.2%)

prune24.0ms (0.3%)

localize270.0ms (3.3%)

series15.0ms (0.2%)

rewrite312.0ms (3.8%)

simplify306.0ms (3.7%)

eval67.0ms (0.8%)

prune127.0ms (1.5%)

localize273.0ms (3.3%)

series21.0ms (0.3%)

rewrite64.0ms (0.8%)

simplify146.0ms (1.8%)

eval35.0ms (0.4%)

prune37.0ms (0.5%)

regimes15.0ms (0.2%)

regimes5.0ms (0.1%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes1.0ms (0%)

bsearch0.0ms (0%)

bsearch8.0ms (0.1%)

bsearch9.0ms (0.1%)

simplify5.0ms (0.1%)

soundness600.0ms (7.3%)

preprocess41.0ms (0.5%)

end0.0ms (0%)

Profiling