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)

sample2.5s (34.7%)

Results

1.6s	8201×	0	valid
550.0ms	7742×	0	unsamplable
19.0ms	55×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 1.8s

ival-exp: 1.2s (68.7% of total)

ival-div: 166.0ms (9.2% of total)

ival-add: 163.0ms (9.1% of total)

ival-neg: 106.0ms (5.9% of total)

ival-sub: 105.0ms (5.8% of total)

const: 15.0ms (0.8% of total)

backward-pass: 6.0ms (0.3% of total)

Bogosity

preprocess138.0ms (1.9%)

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)

explain175.0ms (2.4%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
245	0	-	-	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
6	0	-	-	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
0	0	-	-	`x`
0	1	(558.9859884272329)	-	`(exp.f64 (neg.f64 x))`
0	0	-	-	`(neg.f64 x)`
0	0	-	-	`(exp.f64 x)`
0	0	-	-	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Results

91.0ms	420×	0	valid
39.0ms	92×	1	valid

Compiler

Compiled 84 to 23 computations (72.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 92.0ms

ival-exp: 66.0ms (71.7% of total)

ival-sub: 8.0ms (8.7% of total)

ival-add: 5.0ms (5.4% of total)

ival-div: 4.0ms (4.3% of total)

backward-pass: 4.0ms (4.3% of total)

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

const: 1.0ms (1.1% 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
▶	9.0%	(/.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)

simplify72.0ms (1%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(exp.f64 (neg.f64 x))
✓	cost-diff	(exp.f64 x)
✓	cost-diff	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
✓	cost-diff	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.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)))

localize63.0ms (0.9%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	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	11.4%	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

36.0ms	210×	0	valid
17.0ms	46×	1	valid

Compiler

Compiled 35 to 8 computations (77.1% saved)

Precisions

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

ival-exp: 30.0ms (72% of total)

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

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

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

backward-pass: 2.0ms (4.8% of total)

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

const: 0.0ms (0% of total)

series7.0ms (0.1%)

Counts

5 → 36

Calls

Call 1

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

Outputs
#<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 (*.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 #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))>
#<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)))>

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))) (+ (exp x) (exp (neg x))))
0.0ms	x	@	0	(- (exp x) (exp (neg x)))
0.0ms	x	@	0	(+ (exp x) (exp (neg x)))

rewrite158.0ms (2.1%)

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	40
1	174	40
2	3404	40

Stop Event

1×

unsound

Counts

5 → 45

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)
(exp.f64 (neg.f64 x))
(+.f64 (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)

simplify178.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

573×	`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	713	1006
3	2117	1006
4	3093	1006
5	4606	1006
6	5288	1006
7	6691	1006

Stop Event

1×	node limit

Counts

81 → 70

Calls

Call 1

Inputs
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))))
(*.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)))
#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)
(+.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 -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
x
(.f64 x (+.f64 #s(literal 1 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 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)
(fma.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)) 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))))
(*.f64 #s(literal 2 binary64) x)
(*.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 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)))
(.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 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #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 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)) #s(literal 1/3 binary64) (fma.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2520 binary64) #s(literal 1/60 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 #s(literal 1 binary64) (neg.f64 x))
(-.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)
(+.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 -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)

eval10.0ms (0.1%)

Compiler: Compiled 1426 to 302 computations (78.8% saved)

prune25.0ms (0.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	81	9	90
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	81	10	91

Accuracy

98.1%

Counts

91 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.0%	(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
	8.0%	(/.f64 (-.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	9.0%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
▶	96.5%	(/.f64 (.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 (exp.f64 x) (exp.f64 (neg.f64 x))))
▶	96.2%	(/.f64 (.f64 x (+.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))))
	96.3%	(.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)))))
▶	96.5%	(.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)))))
▶	96.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
	96.0%	x
▶	6.0%	#s(literal 3/2 binary64)

Compiler

Compiled 252 to 167 computations (33.7% saved)

simplify131.0ms (1.8%)

Algorithm

1×	egg-herbie

Localize:

Found 16 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 (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))
✓	cost-diff	-6272	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))))
✓	cost-diff	-6144	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
✓	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	0	(exp.f64 x)
	cost-diff	0	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
✓	cost-diff	0	(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2520 binary64))
✓	cost-diff	0	(pow.f64 x #s(literal 2 binary64))

Rules

745×	`times-frac`
588×	`fma-neg`
501×	`distribute-lft-in`
468×	`distribute-rgt-in`
433×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	39	945
1	106	857
2	275	845
3	831	845
4	1801	845
5	2239	845
6	3203	845
7	3762	845
8	4817	845
9	7010	845

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (.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 (exp.f64 x) (exp.f64 (neg.f64 x))))
(.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))))))))
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)))))))
#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))))))
(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)))))
#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 #s(literal 1/60 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2520 binary64)))
#s(literal 1/60 binary64)
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2520 binary64))
#s(literal 1/2520 binary64)
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
(exp.f64 (neg.f64 x))
(neg.f64 x)
#s(literal 3/2 binary64)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
x
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(literal 1 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))
#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)))))
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)
(/.f64 (.f64 x (+.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 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))))
x
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))
#s(literal 2 binary64)
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))
(pow.f64 x #s(literal 2 binary64))
#s(literal 1/3 binary64)
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
(exp.f64 (neg.f64 x))
(neg.f64 x)

Outputs
(/.f64 (.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 (exp.f64 x) (exp.f64 (neg.f64 x))))
(.f64 x (/.f64 (+.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 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 (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 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))) (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/2520 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64)))) (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(.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)) #s(literal 1/3 binary64) (fma.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/2520 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64)))))
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)))))))
(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))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/2520 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64))))
#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 (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)))
(*.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))))
(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)))))
(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))
(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 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 (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)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64) (*.f64 #s(literal 1/2520 binary64) (pow.f64 x #s(literal 4 binary64))))
(+.f64 #s(literal 1/60 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2520 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
#s(literal 1/60 binary64)
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2520 binary64))
#s(literal 1/2520 binary64)
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
(exp.f64 (neg.f64 x))
(neg.f64 x)
#s(literal 3/2 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 (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)
x
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.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 #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))
#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)) (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)
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)
(/.f64 (.f64 x (+.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 (+.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 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)))
x
(+.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 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))
(pow.f64 x #s(literal 2 binary64))
#s(literal 1/3 binary64)
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
(exp.f64 (neg.f64 x))
(neg.f64 x)

localize284.0ms (3.9%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 (.f64 x (+.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))))
	accuracy	100.0%	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 2 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 (*.f64 #s(literal 2/15 binary64) (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	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)))
✓	accuracy	100.0%	(pow.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1 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%	(.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))))))))
✓	accuracy	99.8%	(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2520 binary64))
✓	accuracy	99.8%	(.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))))
✓	accuracy	99.7%	(.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))))))

Results

220.0ms

256×

valid

Compiler

Compiled 288 to 35 computations (87.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 178.0ms

...c/correct-round.rkt:130:19: 134.0ms (75.5% of total)

ival-mult: 20.0ms (11.3% of total)

ival-add: 9.0ms (5.1% of total)

ival-exp: 4.0ms (2.3% of total)

ival-pow: 4.0ms (2.3% of total)

ival-div: 3.0ms (1.7% of total)

ival-sub: 1.0ms (0.6% of total)

const: 1.0ms (0.6% of total)

ival-neg: 1.0ms (0.6% of total)

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

series31.0ms (0.4%)

Counts

15 → 130

Calls

Call 1

Inputs
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2520 binary64))>
#<alt (*.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 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 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 (*.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 (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))))))>
#<alt (.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))))>
#<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 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2520 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 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))))>
#<alt (/.f64 (.f64 x (+.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))))>

Outputs
#<alt (*.f64 #s(literal 1/2520 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2520 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2520 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2520 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2520 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2520 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2520 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2520 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2520 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2520 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2520 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2520 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt 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 (/.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 -1/3 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 (*.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 (*.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 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.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 (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 (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 #s(literal 1/2520 binary64) (pow.f64 x #s(literal 6 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/2520 binary64) (.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/2520 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/2520 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/2520 binary64) (pow.f64 x #s(literal 6 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/2520 binary64) (.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/2520 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/2520 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.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 (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 (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 #s(literal 1/2520 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/2520 binary64) (.f64 #s(literal 1/60 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 1/2520 binary64) (.f64 #s(literal 1/60 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 1/2520 binary64) (.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/2520 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/2520 binary64) (.f64 #s(literal 1/60 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 1/2520 binary64) (.f64 #s(literal 1/60 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 1/2520 binary64) (.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<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 #s(literal 1/2520 binary64) (pow.f64 x #s(literal 7 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/2520 binary64) (.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/2520 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/2520 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))))>
#<alt (*.f64 #s(literal 1/2520 binary64) (pow.f64 x #s(literal 7 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/2520 binary64) (.f64 #s(literal 1/60 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 7 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2520 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1/2520 binary64) (*.f64 #s(literal 1/60 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 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 #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 #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)))))))>

Calls

45 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(* (pow x 2) (+ 1/60 (* (pow x 2) 1/2520)))
1.0ms	x	@	-inf	(/ (* x (+ 2 (* (pow x 2) 1/3))) (+ (exp x) (exp (neg x))))
1.0ms	x	@	inf	(/ (* x (+ 2 (* (pow x 2) 1/3))) (+ (exp x) (exp (neg x))))
1.0ms	x	@	inf	(* (pow x 2) 1/2520)
1.0ms	x	@	inf	(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* (pow x 2) 1/2520)))))

rewrite64.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

299×	`log1p-expm1-u`
299×	`expm1-log1p-u`
292×	`add-exp-log`
292×	`add-log-exp`
290×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	150
1	646	150

Stop Event

1×	node limit

Counts

15 → 1125

Calls

Call 1

Inputs
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2520 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 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 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 (*.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 (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 (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 (+.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 (+.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 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))))
(/.f64 (.f64 x (+.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))))

Outputs
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/3 binary64)
#s(literal -19/60 binary64)
#s(literal -11/90 binary64)
#s(literal -1/9 binary64)
#s(literal -17/180 binary64)
#s(literal -1/27 binary64)
#s(literal -1/60 binary64)
#s(literal -1/81 binary64)
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#s(literal 3 binary64)
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#s(literal -1/180 binary64)
#s(literal -7/1620 binary64)
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#s(literal -1/900 binary64)
#s(literal -1/3600 binary64)
#s(literal -1/216000 binary64)
#s(literal 0 binary64)
#s(literal 1/10077696000000000 binary64)
#s(literal 1/46656000000 binary64)
#s(literal 1/777600000 binary64)
#s(literal 1/12960000 binary64)
#s(literal 1/5832000 binary64)
#s(literal 1/729000 binary64)
#s(literal 1/216000 binary64)
#s(literal 1/32400 binary64)
#s(literal 1/19683 binary64)
#s(literal 1/10800 binary64)
#s(literal 1/8100 binary64)
#s(literal 1/3600 binary64)
#s(literal 4913/5832000 binary64)
#s(literal 1/810 binary64)
#s(literal 1/729 binary64)
#s(literal 17/10800 binary64)
#s(literal 1331/729000 binary64)
#s(literal 1/540 binary64)
#s(literal 11/5400 binary64)
#s(literal 8/3375 binary64)
#s(literal 1/180 binary64)
#s(literal 289/32400 binary64)
#s(literal 1/90 binary64)
#s(literal 91/8100 binary64)
#s(literal 11/900 binary64)
#s(literal 1/81 binary64)
#s(literal 121/8100 binary64)
#s(literal 539/32400 binary64)
#s(literal 1/60 binary64)
#s(literal 34/2025 binary64)
#s(literal 4/225 binary64)
#s(literal 1/54 binary64)
#s(literal 1/45 binary64)
#s(literal 5/162 binary64)
#s(literal 1/27 binary64)
#s(literal 17/180 binary64)
#s(literal 1/10 binary64)
#s(literal 19/180 binary64)
#s(literal 1/9 binary64)
#s(literal 11/90 binary64)
#s(literal 23/180 binary64)
#s(literal 2/15 binary64)
#s(literal 3/17 binary64)
#s(literal 1/3 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 20/3 binary64)
#s(literal 22/3 binary64)
#s(literal 8 binary64)
#s(literal 16 binary64)
#s(literal 60 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)

simplify266.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

842×	`fma-neg`
668×	`associate-/r*`
580×	`distribute-lft-in`
553×	`distribute-rgt-in`
481×	`fma-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	209	5527
1	496	5391
2	1272	4961
3	3863	4753
4	7906	4753

Stop Event

1×	node limit

Counts

1255 → 188

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2520 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2520 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2520 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2520 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2520 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2520 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2520 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2520 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2520 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2520 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2520 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2520 binary64) (pow.f64 x #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 (/.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 -1/3 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)))
(*.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))))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
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#s(literal 4/225 binary64)
#s(literal 1/54 binary64)
#s(literal 1/45 binary64)
#s(literal 5/162 binary64)
#s(literal 1/27 binary64)
#s(literal 17/180 binary64)
#s(literal 1/10 binary64)
#s(literal 19/180 binary64)
#s(literal 1/9 binary64)
#s(literal 11/90 binary64)
#s(literal 23/180 binary64)
#s(literal 2/15 binary64)
#s(literal 3/17 binary64)
#s(literal 1/3 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 20/3 binary64)
#s(literal 22/3 binary64)
#s(literal 8 binary64)
#s(literal 16 binary64)
#s(literal 60 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/3 binary64)
#s(literal -19/60 binary64)
#s(literal -11/90 binary64)
#s(literal -1/9 binary64)
#s(literal -17/180 binary64)
#s(literal -1/27 binary64)
#s(literal -1/60 binary64)
#s(literal -1/81 binary64)
#s(literal -1/180 binary64)
#s(literal -7/1620 binary64)
#s(literal -1/729 binary64)
#s(literal -1/900 binary64)
#s(literal -1/3600 binary64)
#s(literal -1/216000 binary64)
#s(literal 0 binary64)
#s(literal 1/10077696000000000 binary64)
#s(literal 1/46656000000 binary64)
#s(literal 1/777600000 binary64)
#s(literal 1/12960000 binary64)
#s(literal 1/5832000 binary64)
#s(literal 1/729000 binary64)
#s(literal 1/216000 binary64)
#s(literal 1/32400 binary64)
#s(literal 1/19683 binary64)
#s(literal 1/10800 binary64)
#s(literal 1/8100 binary64)
#s(literal 1/3600 binary64)
#s(literal 4913/5832000 binary64)
#s(literal 1/810 binary64)
#s(literal 1/729 binary64)
#s(literal 17/10800 binary64)
#s(literal 1331/729000 binary64)
#s(literal 1/540 binary64)
#s(literal 11/5400 binary64)
#s(literal 8/3375 binary64)
#s(literal 1/180 binary64)
#s(literal 289/32400 binary64)
#s(literal 1/90 binary64)
#s(literal 91/8100 binary64)
#s(literal 11/900 binary64)
#s(literal 1/81 binary64)
#s(literal 121/8100 binary64)
#s(literal 539/32400 binary64)
#s(literal 1/60 binary64)
#s(literal 34/2025 binary64)
#s(literal 4/225 binary64)
#s(literal 1/54 binary64)
#s(literal 1/45 binary64)
#s(literal 5/162 binary64)
#s(literal 1/27 binary64)
#s(literal 17/180 binary64)
#s(literal 1/10 binary64)
#s(literal 19/180 binary64)
#s(literal 1/9 binary64)
#s(literal 11/90 binary64)
#s(literal 23/180 binary64)
#s(literal 2/15 binary64)
#s(literal 3/17 binary64)
#s(literal 1/3 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 20/3 binary64)
#s(literal 22/3 binary64)
#s(literal 8 binary64)
#s(literal 16 binary64)
#s(literal 60 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/3 binary64)
#s(literal -19/60 binary64)
#s(literal -11/90 binary64)
#s(literal -1/9 binary64)
#s(literal -17/180 binary64)
#s(literal -1/27 binary64)
#s(literal -1/60 binary64)
#s(literal -1/81 binary64)
#s(literal -1/180 binary64)
#s(literal -7/1620 binary64)
#s(literal -1/729 binary64)
#s(literal -1/900 binary64)
#s(literal -1/3600 binary64)
#s(literal -1/216000 binary64)
#s(literal 0 binary64)
#s(literal 1/10077696000000000 binary64)
#s(literal 1/46656000000 binary64)
#s(literal 1/777600000 binary64)
#s(literal 1/12960000 binary64)
#s(literal 1/5832000 binary64)
#s(literal 1/729000 binary64)
#s(literal 1/216000 binary64)
#s(literal 1/32400 binary64)
#s(literal 1/19683 binary64)
#s(literal 1/10800 binary64)
#s(literal 1/8100 binary64)
#s(literal 1/3600 binary64)
#s(literal 4913/5832000 binary64)
#s(literal 1/810 binary64)
#s(literal 1/729 binary64)
#s(literal 17/10800 binary64)
#s(literal 1331/729000 binary64)
#s(literal 1/540 binary64)
#s(literal 11/5400 binary64)
#s(literal 8/3375 binary64)
#s(literal 1/180 binary64)
#s(literal 289/32400 binary64)
#s(literal 1/90 binary64)
#s(literal 91/8100 binary64)
#s(literal 11/900 binary64)
#s(literal 1/81 binary64)
#s(literal 121/8100 binary64)
#s(literal 539/32400 binary64)
#s(literal 1/60 binary64)
#s(literal 34/2025 binary64)
#s(literal 4/225 binary64)
#s(literal 1/54 binary64)
#s(literal 1/45 binary64)
#s(literal 5/162 binary64)
#s(literal 1/27 binary64)
#s(literal 17/180 binary64)
#s(literal 1/10 binary64)
#s(literal 19/180 binary64)
#s(literal 1/9 binary64)
#s(literal 11/90 binary64)
#s(literal 23/180 binary64)
#s(literal 2/15 binary64)
#s(literal 3/17 binary64)
#s(literal 1/3 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 20/3 binary64)
#s(literal 22/3 binary64)
#s(literal 8 binary64)
#s(literal 16 binary64)
#s(literal 60 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/3 binary64)
#s(literal -19/60 binary64)
#s(literal -11/90 binary64)
#s(literal -1/9 binary64)
#s(literal -17/180 binary64)
#s(literal -1/27 binary64)
#s(literal -1/60 binary64)
#s(literal -1/81 binary64)
#s(literal -1/180 binary64)
#s(literal -7/1620 binary64)
#s(literal -1/729 binary64)
#s(literal -1/900 binary64)
#s(literal -1/3600 binary64)
#s(literal -1/216000 binary64)
#s(literal 0 binary64)
#s(literal 1/10077696000000000 binary64)
#s(literal 1/46656000000 binary64)
#s(literal 1/777600000 binary64)
#s(literal 1/12960000 binary64)
#s(literal 1/5832000 binary64)
#s(literal 1/729000 binary64)
#s(literal 1/216000 binary64)
#s(literal 1/32400 binary64)
#s(literal 1/19683 binary64)
#s(literal 1/10800 binary64)
#s(literal 1/8100 binary64)
#s(literal 1/3600 binary64)
#s(literal 4913/5832000 binary64)
#s(literal 1/810 binary64)
#s(literal 1/729 binary64)
#s(literal 17/10800 binary64)
#s(literal 1331/729000 binary64)
#s(literal 1/540 binary64)
#s(literal 11/5400 binary64)
#s(literal 8/3375 binary64)
#s(literal 1/180 binary64)
#s(literal 289/32400 binary64)
#s(literal 1/90 binary64)
#s(literal 91/8100 binary64)
#s(literal 11/900 binary64)
#s(literal 1/81 binary64)
#s(literal 121/8100 binary64)
#s(literal 539/32400 binary64)
#s(literal 1/60 binary64)
#s(literal 34/2025 binary64)
#s(literal 4/225 binary64)
#s(literal 1/54 binary64)
#s(literal 1/45 binary64)
#s(literal 5/162 binary64)
#s(literal 1/27 binary64)
#s(literal 17/180 binary64)
#s(literal 1/10 binary64)
#s(literal 19/180 binary64)
#s(literal 1/9 binary64)
#s(literal 11/90 binary64)
#s(literal 23/180 binary64)
#s(literal 2/15 binary64)
#s(literal 3/17 binary64)
#s(literal 1/3 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 20/3 binary64)
#s(literal 22/3 binary64)
#s(literal 8 binary64)
#s(literal 16 binary64)
#s(literal 60 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)

Outputs
(*.f64 #s(literal 1/2520 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2520 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2520 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2520 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2520 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2520 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2520 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2520 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2520 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2520 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2520 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2520 binary64) (pow.f64 x #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 (/.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 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 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 (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 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 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 (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 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 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 (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 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 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 (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 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 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 (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 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
#s(literal 1 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))
(*.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 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.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)) (-.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 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.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)) (-.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 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal 1 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))
(*.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 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.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)) (-.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 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.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)) (-.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 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal 1 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))
(*.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 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 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 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 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 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 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 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 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 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 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 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64)))
#s(literal -1/3 binary64)
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#s(literal 1331/729000 binary64)
#s(literal 1/540 binary64)
#s(literal 11/5400 binary64)
#s(literal 8/3375 binary64)
#s(literal 1/180 binary64)
#s(literal 289/32400 binary64)
#s(literal 1/90 binary64)
#s(literal 91/8100 binary64)
#s(literal 11/900 binary64)
#s(literal 1/81 binary64)
#s(literal 121/8100 binary64)
#s(literal 539/32400 binary64)
#s(literal 1/60 binary64)
#s(literal 34/2025 binary64)
#s(literal 4/225 binary64)
#s(literal 1/54 binary64)
#s(literal 1/45 binary64)
#s(literal 5/162 binary64)
#s(literal 1/27 binary64)
#s(literal 17/180 binary64)
#s(literal 1/10 binary64)
#s(literal 19/180 binary64)
#s(literal 1/9 binary64)
#s(literal 11/90 binary64)
#s(literal 23/180 binary64)
#s(literal 2/15 binary64)
#s(literal 3/17 binary64)
#s(literal 1/3 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 20/3 binary64)
#s(literal 22/3 binary64)
#s(literal 8 binary64)
#s(literal 16 binary64)
#s(literal 60 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)

eval94.0ms (1.3%)

Compiler: Compiled 12511 to 3001 computations (76% saved)

prune239.0ms (3.3%)

Pruning

18 alts after pruning (13 fresh and 5 done)

	Pruned	Kept	Total
New	660	10	670
Fresh	1	3	4
Picked	1	4	5
Done	0	1	1
Total	662	18	680

Accuracy

98.1%

Counts

680 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	8.0%	(/.f64 (-.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	9.0%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	96.5%	(/.f64 (.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 (exp.f64 x) (exp.f64 (neg.f64 x))))
▶	96.5%	(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))) (fma.f64 x x #s(literal 2 binary64)))
	24.6%	(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))))
	96.3%	(.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)))))
✓	96.5%	(.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)))))
	95.7%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) #s(literal 3/17 binary64)) #s(literal 1/3 binary64)))))
▶	95.9%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) #s(literal 1/3600 binary64)) #s(literal 1/3 binary64)))))
	96.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) #s(literal 1/216000 binary64)) #s(literal 1/3 binary64)))))
	96.4%	(.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)))))
✓	96.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
	23.8%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) #s(literal 3/17 binary64))))
▶	37.8%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) #s(literal 1/3600 binary64))))
	46.7%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) #s(literal 1/216000 binary64))))
	73.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) #s(literal 1/46656000000 binary64))))
▶	96.0%	x
✓	6.0%	#s(literal 3/2 binary64)

Compiler

Compiled 393 to 292 computations (25.7% saved)

simplify244.0ms (3.3%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) x)
	cost-diff	0	(exp.f64 x)
✓	cost-diff	128	(-.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))
✓	cost-diff	128	(/.f64 (-.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
	cost-diff	0	(pow.f64 x #s(literal 2 binary64))
✓	cost-diff	128	(*.f64 #s(literal 2/15 binary64) #s(literal 1/3600 binary64))
✓	cost-diff	256	(-.f64 (*.f64 #s(literal 2/15 binary64) #s(literal 1/3600 binary64)) #s(literal 1/3 binary64))
✓	cost-diff	256	(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) #s(literal 1/3600 binary64)) #s(literal 1/3 binary64)))
✓	cost-diff	128	(*.f64 #s(literal -1/3 binary64) #s(literal 1/3600 binary64))
✓	cost-diff	256	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) #s(literal 1/3600 binary64)))
✓	cost-diff	256	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) #s(literal 1/3600 binary64))))
✓	cost-diff	-6272	(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))) (fma.f64 x x #s(literal 2 binary64)))
✓	cost-diff	0	(fma.f64 x x #s(literal 2 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))

Rules

1347×	`fma-define`
1062×	`fma-neg`
533×	`unsub-neg`
384×	`div-sub`
363×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	38	408
1	80	376
2	139	370
3	308	370
4	702	370
5	2129	370
6	3972	370
7	5165	370
8	5506	370
9	5617	370
10	5657	370
11	5702	370
12	6892	370
13	7708	370

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))) (fma.f64 x 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))))
x
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))
#s(literal 2 binary64)
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))
(pow.f64 x #s(literal 2 binary64))
#s(literal 1/3 binary64)
(fma.f64 x x #s(literal 2 binary64))
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) #s(literal 1/3600 binary64))))
x
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) #s(literal 1/3600 binary64)))
#s(literal 1 binary64)
(*.f64 #s(literal -1/3 binary64) #s(literal 1/3600 binary64))
#s(literal -1/3 binary64)
#s(literal 1/3600 binary64)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) #s(literal 1/3600 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) #s(literal 1/3600 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) #s(literal 1/3600 binary64)) #s(literal 1/3 binary64)))
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (*.f64 #s(literal 2/15 binary64) #s(literal 1/3600 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 2/15 binary64) #s(literal 1/3600 binary64))
#s(literal 2/15 binary64)
#s(literal 1/3600 binary64)
#s(literal 1/3 binary64)
(/.f64 (-.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))
(exp.f64 x)
x
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 (neg.f64 x))
(neg.f64 x)

Outputs
(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))) (fma.f64 x x #s(literal 2 binary64)))
(.f64 x (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))) (fma.f64 x x #s(literal 2 binary64))))
(*.f64 x (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) #s(literal 2 binary64)) (fma.f64 x 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 #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 (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 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))
(pow.f64 x #s(literal 2 binary64))
#s(literal 1/3 binary64)
(fma.f64 x x #s(literal 2 binary64))
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) #s(literal 1/3600 binary64))))
(*.f64 x #s(literal 10799/10800 binary64))
x
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) #s(literal 1/3600 binary64)))
#s(literal 10799/10800 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal -1/3 binary64) #s(literal 1/3600 binary64))
#s(literal -1/10800 binary64)
#s(literal -1/3 binary64)
#s(literal 1/3600 binary64)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) #s(literal 1/3600 binary64)) #s(literal 1/3 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -8999/27000 binary64))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -8999/27000 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal -8999/27000 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) #s(literal 1/3600 binary64)) #s(literal 1/3 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -8999/27000 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -8999/27000 binary64) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) #s(literal 1/3600 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -8999/27000 binary64))
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (*.f64 #s(literal 2/15 binary64) #s(literal 1/3600 binary64)) #s(literal 1/3 binary64))
#s(literal -8999/27000 binary64)
(*.f64 #s(literal 2/15 binary64) #s(literal 1/3600 binary64))
#s(literal 1/27000 binary64)
#s(literal 2/15 binary64)
#s(literal 1/3600 binary64)
#s(literal 1/3 binary64)
(/.f64 (-.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (+.f64 x (expm1.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))
(+.f64 x (expm1.f64 x))
(exp.f64 x)
x
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 (neg.f64 x))
(neg.f64 x)

localize269.0ms (3.7%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
	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) (-.f64 #s(literal 1 binary64) x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	accuracy	11.4%	(-.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(*.f64 #s(literal 2/15 binary64) #s(literal 1/3600 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) #s(literal 1/3600 binary64)) #s(literal 1/3 binary64)))))
✓	accuracy	99.7%	(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) #s(literal 1/3600 binary64)) #s(literal 1/3 binary64)))
✓	accuracy	98.4%	(-.f64 (*.f64 #s(literal 2/15 binary64) #s(literal 1/3600 binary64)) #s(literal 1/3 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) #s(literal 1/3600 binary64)))
✓	accuracy	100.0%	(*.f64 #s(literal -1/3 binary64) #s(literal 1/3600 binary64))
✓	accuracy	99.5%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) #s(literal 1/3600 binary64))))
✓	accuracy	100.0%	(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))
	accuracy	100.0%	(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))))
✓	accuracy	100.0%	(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))) (fma.f64 x x #s(literal 2 binary64)))
	accuracy	99.7%	(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))

Results

195.0ms	210×	0	valid
33.0ms	46×	1	valid

Compiler

Compiled 154 to 29 computations (81.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 75.0ms

ival-mult: 18.0ms (24.1% of total)

...c/correct-round.rkt:130:19: 15.0ms (20.1% of total)

ival-exp: 11.0ms (14.8% of total)

ival-add: 7.0ms (9.4% of total)

backward-pass: 6.0ms (8% of total)

ival-sub: 5.0ms (6.7% of total)

ival-div: 4.0ms (5.4% of total)

ival-pow: 4.0ms (5.4% of total)

ival-fma: 4.0ms (5.4% of total)

const: 1.0ms (1.3% of total)

ival-neg: 1.0ms (1.3% of total)

series59.0ms (0.8%)

Counts

13 → 108

Calls

Call 1

Inputs
#<alt (fma.f64 x x #s(literal 2 binary64))>
#<alt (/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))) (fma.f64 x x #s(literal 2 binary64)))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) #s(literal 1/3600 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) #s(literal 1/3600 binary64)))>
#<alt (*.f64 #s(literal -1/3 binary64) #s(literal 1/3600 binary64))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) #s(literal 1/3600 binary64)) #s(literal 1/3 binary64)))>
#<alt (-.f64 (*.f64 #s(literal 2/15 binary64) #s(literal 1/3600 binary64)) #s(literal 1/3 binary64))>
#<alt (*.f64 #s(literal 2/15 binary64) #s(literal 1/3600 binary64))>
#<alt (/.f64 (-.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))>
#<alt (-.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))>
#<alt (-.f64 #s(literal 1 binary64) x)>
#<alt (+.f64 #s(literal 2 binary64) (*.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)) (-.f64 (*.f64 #s(literal 2/15 binary64) #s(literal 1/3600 binary64)) #s(literal 1/3 binary64)))))>

Outputs
#<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 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/6 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 1/6 binary64) (.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/3 binary64)))))>
#<alt (*.f64 #s(literal 1/3 binary64) x)>
#<alt (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 x (-.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 8/3 binary64) (pow.f64 x #s(literal 4 binary64)))))>
#<alt (.f64 x (-.f64 (+.f64 #s(literal 1/3 binary64) (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 16/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (/.f64 #s(literal 8/3 binary64) (pow.f64 x #s(literal 4 binary64)))))>
#<alt (*.f64 #s(literal 1/3 binary64) x)>
#<alt (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (/.f64 #s(literal 8/3 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (/.f64 #s(literal 8/3 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 1/3 binary64) (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 16/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))))))>
#<alt (*.f64 #s(literal 10799/10800 binary64) x)>
#<alt (*.f64 #s(literal 10799/10800 binary64) x)>
#<alt (*.f64 #s(literal 10799/10800 binary64) x)>
#<alt (*.f64 #s(literal 10799/10800 binary64) x)>
#<alt (*.f64 #s(literal 10799/10800 binary64) x)>
#<alt (*.f64 #s(literal 10799/10800 binary64) x)>
#<alt (*.f64 #s(literal 10799/10800 binary64) x)>
#<alt (*.f64 #s(literal 10799/10800 binary64) x)>
#<alt (*.f64 #s(literal 10799/10800 binary64) x)>
#<alt (*.f64 #s(literal 10799/10800 binary64) x)>
#<alt (*.f64 #s(literal 10799/10800 binary64) x)>
#<alt (*.f64 #s(literal 10799/10800 binary64) x)>
#<alt (*.f64 #s(literal -8999/27000 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -8999/27000 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -8999/27000 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -8999/27000 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -8999/27000 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -8999/27000 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -8999/27000 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -8999/27000 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -8999/27000 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -8999/27000 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -8999/27000 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -8999/27000 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) x)))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -5/12 binary64) x)))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (-.f64 (.f64 #s(literal -5/48 binary64) x) #s(literal 5/12 binary64)))))))>
#<alt (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))>
#<alt (.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (exp.f64 x) (.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))>
#<alt (.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (exp.f64 x) (.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))>
#<alt (.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (exp.f64 x) (.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))>
#<alt (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x))))) x)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x))))) x)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x))))) x)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x)))))))>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x)))>
#<alt (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))>
#<alt (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) x)))))))>
#<alt x>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) x)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) x)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) x)) (/.f64 #s(literal 1 binary64) x)))>
#<alt x>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)) #s(literal 1 binary64))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #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 binary64) x))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 2 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 #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 2 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 2 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 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 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 2 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 2 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 -8999/27000 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -8999/27000 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -8999/27000 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -8999/27000 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 8999/27000 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 8999/27000 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 8999/27000 binary64)))>
#<alt (*.f64 #s(literal -8999/27000 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 8999/27000 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 8999/27000 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 8999/27000 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>

Calls

27 calls:

Time	Variable		Point	Expression
41.0ms	x	@	inf	(* x (+ 1 (* (pow x 2) (- (* 2/15 1/3600) 1/3))))
3.0ms	x	@	0	(* x (+ 1 (* (pow x 2) (- (* 2/15 1/3600) 1/3))))
1.0ms	x	@	inf	(/ (- (exp x) (- 1 x)) (+ (exp x) (exp (neg x))))
1.0ms	x	@	-inf	(/ (- (exp x) (- 1 x)) (+ (exp x) (exp (neg x))))
0.0ms	x	@	inf	(/ (* x (+ 2 (* (pow x 2) 1/3))) (+ (* x x) 2))

rewrite54.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

213×	`log1p-expm1-u`
213×	`expm1-log1p-u`
209×	`add-exp-log`
208×	`add-log-exp`
208×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	160
1	470	160

Stop Event

1×	node limit

Counts

13 → 123

Calls

Call 1

Inputs
(fma.f64 x x #s(literal 2 binary64))
(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))) (fma.f64 x x #s(literal 2 binary64)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) #s(literal 1/3600 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) #s(literal 1/3600 binary64)))
(*.f64 #s(literal -1/3 binary64) #s(literal 1/3600 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) #s(literal 1/3600 binary64)) #s(literal 1/3 binary64)))
(-.f64 (*.f64 #s(literal 2/15 binary64) #s(literal 1/3600 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 2/15 binary64) #s(literal 1/3600 binary64))
(/.f64 (-.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 2 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)) (-.f64 (*.f64 #s(literal 2/15 binary64) #s(literal 1/3600 binary64)) #s(literal 1/3 binary64)))))

Outputs
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/3 binary64)
#s(literal 0 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 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/3 binary64)
#s(literal 0 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 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)
#s(literal 116618401/116640000 binary64)
#s(literal 10799/10800 binary64)
#s(literal 116618401/116640000 binary64)
#s(literal 10799/10800 binary64)
#s(literal -1/10800 binary64)
#s(literal -8999/27000 binary64)
#s(literal -728757026999/19683000000000 binary64)
#s(literal 80982001/729000000 binary64)
#s(literal -8999/27000 binary64)
#s(literal -728757026999/19683000000000 binary64)
#s(literal 80982001/729000000 binary64)
#s(literal 1/27000 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/3 binary64)
#s(literal 0 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 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/3 binary64)
#s(literal 0 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 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/3 binary64)
#s(literal 0 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 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/3 binary64)
#s(literal 0 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 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)
#s(literal -8999/27000 binary64)
#s(literal -728757026999/19683000000000 binary64)
#s(literal 80982001/729000000 binary64)

simplify121.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

399×	`associate-r`
395×	`fma-define`
354×	`associate-l`
329×	`div-sub`
285×	`associate-+r+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	172	3113
1	450	2858
2	1184	2778
3	3719	2620
4	6997	2620

Stop Event

1×	node limit

Counts

231 → 115

Calls

Call 1

Inputs
#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 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/6 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 1/6 binary64) (.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/3 binary64)))))
(*.f64 #s(literal 1/3 binary64) x)
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 x (-.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 8/3 binary64) (pow.f64 x #s(literal 4 binary64)))))
(.f64 x (-.f64 (+.f64 #s(literal 1/3 binary64) (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 16/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (/.f64 #s(literal 8/3 binary64) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 #s(literal 1/3 binary64) x)
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (/.f64 #s(literal 8/3 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (/.f64 #s(literal 8/3 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 1/3 binary64) (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 16/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))))))
(*.f64 #s(literal 10799/10800 binary64) x)
(*.f64 #s(literal 10799/10800 binary64) x)
(*.f64 #s(literal 10799/10800 binary64) x)
(*.f64 #s(literal 10799/10800 binary64) x)
(*.f64 #s(literal 10799/10800 binary64) x)
(*.f64 #s(literal 10799/10800 binary64) x)
(*.f64 #s(literal 10799/10800 binary64) x)
(*.f64 #s(literal 10799/10800 binary64) x)
(*.f64 #s(literal 10799/10800 binary64) x)
(*.f64 #s(literal 10799/10800 binary64) x)
(*.f64 #s(literal 10799/10800 binary64) x)
(*.f64 #s(literal 10799/10800 binary64) x)
(*.f64 #s(literal -8999/27000 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -8999/27000 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -8999/27000 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -8999/27000 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -8999/27000 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -8999/27000 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -8999/27000 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -8999/27000 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -8999/27000 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -8999/27000 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -8999/27000 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -8999/27000 binary64) (pow.f64 x #s(literal 2 binary64)))
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -5/12 binary64) x)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (-.f64 (.f64 #s(literal -5/48 binary64) x) #s(literal 5/12 binary64)))))))
(/.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (exp.f64 x) (.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (exp.f64 x) (.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (exp.f64 x) (.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(/.f64 x (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x))))) x)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x)))))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x))))) x)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x)))))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x))))) x)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x)))))))
(*.f64 #s(literal 2 binary64) x)
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x)))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) x)))))))
x
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) x)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) x)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) x)) (/.f64 #s(literal 1 binary64) x)))
x
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)) #s(literal 1 binary64))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 x (-.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 binary64) x))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 #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 binary64) x))))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #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 (pow.f64 x #s(literal 2 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 2 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 2 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 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 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 2 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 2 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 -8999/27000 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -8999/27000 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -8999/27000 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal -8999/27000 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 8999/27000 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 8999/27000 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 8999/27000 binary64)))
(*.f64 #s(literal -8999/27000 binary64) (pow.f64 x #s(literal 3 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 8999/27000 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 8999/27000 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 8999/27000 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/3 binary64)
#s(literal 0 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 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/3 binary64)
#s(literal 0 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 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)
#s(literal 116618401/116640000 binary64)
#s(literal 10799/10800 binary64)
#s(literal 116618401/116640000 binary64)
#s(literal 10799/10800 binary64)
#s(literal -1/10800 binary64)
#s(literal -8999/27000 binary64)
#s(literal -728757026999/19683000000000 binary64)
#s(literal 80982001/729000000 binary64)
#s(literal -8999/27000 binary64)
#s(literal -728757026999/19683000000000 binary64)
#s(literal 80982001/729000000 binary64)
#s(literal 1/27000 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/3 binary64)
#s(literal 0 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 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/3 binary64)
#s(literal 0 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 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/3 binary64)
#s(literal 0 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 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/3 binary64)
#s(literal 0 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 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)
#s(literal -8999/27000 binary64)
#s(literal -728757026999/19683000000000 binary64)
#s(literal 80982001/729000000 binary64)

Outputs
#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) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 x 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))
(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 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 x 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 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 x 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 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 x 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 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 x 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 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 x 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 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 x 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)) #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)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/6 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 1/6 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 1/6 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 1/6 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 1/6 binary64) (.f64 #s(literal -1/12 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 1/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/12 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 -1/12 binary64) #s(literal 1/6 binary64)) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (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 1/6 binary64)) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 x #s(literal 1/3 binary64))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 4/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 x #s(literal 1/3 binary64) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4/3 binary64) x)))
(fma.f64 x #s(literal 1/3 binary64) (/.f64 #s(literal 4/3 binary64) x))
(.f64 x (-.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 8/3 binary64) (pow.f64 x #s(literal 4 binary64)))))
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(.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
x
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) x)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 x) x)))
(-.f64 x (neg.f64 (expm1.f64 x)))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) x)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 x) x)))
(-.f64 x (neg.f64 (expm1.f64 x)))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) x)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 x) x)))
(-.f64 x (neg.f64 (expm1.f64 x)))
x
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 x) x)))
(-.f64 x (neg.f64 (expm1.f64 x)))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 x) x)))
(-.f64 x (neg.f64 (expm1.f64 x)))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 x) x)))
(-.f64 x (neg.f64 (expm1.f64 x)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
(-.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
(-.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
(-.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
(-.f64 #s(literal 1 binary64) x)
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
(-.f64 #s(literal 1 binary64) x)
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
(-.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
(-.f64 #s(literal 1 binary64) x)
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
(-.f64 #s(literal 1 binary64) x)
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 2 binary64)
(+.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))
(+.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))
(+.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))
(*.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))
(.f64 (pow.f64 x #s(literal 2 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 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))
(.f64 (pow.f64 x #s(literal 2 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 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))
(.f64 (pow.f64 x #s(literal 2 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 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))
(*.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))
(.f64 (pow.f64 x #s(literal 2 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 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))
(.f64 (pow.f64 x #s(literal 2 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 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))
(.f64 (pow.f64 x #s(literal 2 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 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))
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -8999/27000 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 -8999/27000 binary64))))
(+.f64 x (*.f64 #s(literal -8999/27000 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal -8999/27000 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -8999/27000 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 -8999/27000 binary64))))
(+.f64 x (*.f64 #s(literal -8999/27000 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal -8999/27000 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -8999/27000 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 -8999/27000 binary64))))
(+.f64 x (*.f64 #s(literal -8999/27000 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal -8999/27000 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 #s(literal -8999/27000 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 8999/27000 binary64)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -8999/27000 binary64))))
(+.f64 x (*.f64 #s(literal -8999/27000 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal -8999/27000 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 8999/27000 binary64)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -8999/27000 binary64))))
(+.f64 x (*.f64 #s(literal -8999/27000 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal -8999/27000 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 8999/27000 binary64)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -8999/27000 binary64))))
(+.f64 x (*.f64 #s(literal -8999/27000 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal -8999/27000 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 #s(literal -8999/27000 binary64) (pow.f64 x #s(literal 3 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 8999/27000 binary64) (/.f64 #s(literal 1 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 -8999/27000 binary64))))
(+.f64 x (*.f64 #s(literal -8999/27000 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal -8999/27000 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 8999/27000 binary64) (/.f64 #s(literal 1 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 -8999/27000 binary64))))
(+.f64 x (*.f64 #s(literal -8999/27000 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal -8999/27000 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 8999/27000 binary64) (/.f64 #s(literal 1 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 -8999/27000 binary64))))
(+.f64 x (*.f64 #s(literal -8999/27000 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal -8999/27000 binary64) (pow.f64 x #s(literal 3 binary64)) x)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/3 binary64)
#s(literal 0 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 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/3 binary64)
#s(literal 0 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 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)
#s(literal 116618401/116640000 binary64)
#s(literal 10799/10800 binary64)
#s(literal 116618401/116640000 binary64)
#s(literal 10799/10800 binary64)
#s(literal -1/10800 binary64)
#s(literal -8999/27000 binary64)
#s(literal -728757026999/19683000000000 binary64)
#s(literal 80982001/729000000 binary64)
#s(literal -8999/27000 binary64)
#s(literal -728757026999/19683000000000 binary64)
#s(literal 80982001/729000000 binary64)
#s(literal 1/27000 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/3 binary64)
#s(literal 0 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 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/3 binary64)
#s(literal 0 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 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/3 binary64)
#s(literal 0 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 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/3 binary64)
#s(literal 0 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 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)
#s(literal -8999/27000 binary64)
#s(literal -728757026999/19683000000000 binary64)
#s(literal 80982001/729000000 binary64)

eval46.0ms (0.6%)

Compiler: Compiled 3837 to 1053 computations (72.6% saved)

prune289.0ms (3.9%)

Pruning

21 alts after pruning (16 fresh and 5 done)

	Pruned	Kept	Total
New	289	8	297
Fresh	0	8	8
Picked	3	2	5
Done	2	3	5
Total	294	21	315

Accuracy

98.5%

Counts

315 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	9.0%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
▶	7.0%	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	96.5%	(/.f64 (.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 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	96.5%	(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))) (fma.f64 x x #s(literal 2 binary64)))
▶	95.9%	(+.f64 x (*.f64 #s(literal -8999/27000 binary64) (pow.f64 x #s(literal 3 binary64))))
	96.0%	(+.f64 x (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
	24.6%	(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))))
	96.3%	(.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)))))
✓	96.5%	(.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)))))
	95.7%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) #s(literal 3/17 binary64)) #s(literal 1/3 binary64)))))
	96.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) #s(literal 1/216000 binary64)) #s(literal 1/3 binary64)))))
▶	96.4%	(.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)))))
	95.9%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -8999/27000 binary64))))
	46.7%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/216000 binary64) (-.f64 (*.f64 #s(literal 2/15 binary64) #s(literal 1/3600 binary64)) #s(literal 1/3 binary64)))))
	23.8%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) #s(literal 3/17 binary64))))
▶	46.7%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) #s(literal 1/216000 binary64))))
	73.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) #s(literal 1/46656000000 binary64))))
	24.8%	(*.f64 x (+.f64 #s(literal 1 binary64) #s(literal -728757026999/19683000000000 binary64)))
	37.8%	(*.f64 x #s(literal 10799/10800 binary64))
✓	96.0%	x
▶	6.6%	#s(literal 10799/10800 binary64)

Compiler

Compiled 416 to 314 computations (24.5% saved)

simplify350.0ms (4.8%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
	cost-diff	0	(exp.f64 x)
✓	cost-diff	128	(-.f64 (exp.f64 x) #s(literal 1 binary64))
✓	cost-diff	128	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	cost-diff	-6272	(+.f64 x (*.f64 #s(literal -8999/27000 binary64) (pow.f64 x #s(literal 3 binary64))))
✓	cost-diff	0	(pow.f64 x #s(literal 3 binary64))
✓	cost-diff	0	(*.f64 #s(literal -8999/27000 binary64) (pow.f64 x #s(literal 3 binary64)))
✓	cost-diff	128	(*.f64 #s(literal -1/3 binary64) #s(literal 1/216000 binary64))
✓	cost-diff	256	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) #s(literal 1/216000 binary64)))
✓	cost-diff	256	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) #s(literal 1/216000 binary64))))
✓	cost-diff	-6272	(-.f64 (*.f64 #s(literal 1/8 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 1/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
✓	cost-diff	0	(*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))
	cost-diff	0	(pow.f64 x #s(literal 2 binary64))

Rules

1728×	`fma-define`
385×	`fma-neg`
309×	`cancel-sign-sub-inv`
233×	`distribute-lft-in`
222×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	353
1	71	339
2	118	335
3	289	335
4	579	335
5	811	335
6	985	335
7	1692	335
8	2284	335
9	2980	335
10	3409	335
11	3564	335
12	3627	335
13	3702	335
14	4665	335
15	4936	335
16	5114	335
17	5495	335
18	5527	335
19	5533	335
20	5533	335
21	5553	335

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 1/8 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 1/8 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 1/8 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 1/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal 1/8 binary64)
#s(literal 1/3 binary64)
#s(literal 10799/10800 binary64)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) #s(literal 1/216000 binary64))))
x
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) #s(literal 1/216000 binary64)))
#s(literal 1 binary64)
(*.f64 #s(literal -1/3 binary64) #s(literal 1/216000 binary64))
#s(literal -1/3 binary64)
#s(literal 1/216000 binary64)
(+.f64 x (*.f64 #s(literal -8999/27000 binary64) (pow.f64 x #s(literal 3 binary64))))
x
(*.f64 #s(literal -8999/27000 binary64) (pow.f64 x #s(literal 3 binary64)))
#s(literal -8999/27000 binary64)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(exp.f64 x)
x
#s(literal 1 binary64)
(+.f64 (exp.f64 x) (exp.f64 (neg.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 #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)) (fma.f64 #s(literal 1/8 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 1/8 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 1/8 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 5 binary64)) x))
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 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 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 1/8 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 1/8 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 1/8 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 1/8 binary64) #s(literal -1/3 binary64)))
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/8 binary64) #s(literal -1/3 binary64))
(*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
#s(literal 1/3 binary64)
#s(literal 10799/10800 binary64)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) #s(literal 1/216000 binary64))))
(*.f64 x #s(literal 647999/648000 binary64))
x
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) #s(literal 1/216000 binary64)))
#s(literal 647999/648000 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal -1/3 binary64) #s(literal 1/216000 binary64))
#s(literal -1/648000 binary64)
#s(literal -1/3 binary64)
#s(literal 1/216000 binary64)
(+.f64 x (*.f64 #s(literal -8999/27000 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal -8999/27000 binary64) (pow.f64 x #s(literal 3 binary64)) x)
x
(*.f64 #s(literal -8999/27000 binary64) (pow.f64 x #s(literal 3 binary64)))
#s(literal -8999/27000 binary64)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (expm1.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(expm1.f64 x)
(exp.f64 x)
x
#s(literal 1 binary64)
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 (neg.f64 x))
(neg.f64 x)

localize341.0ms (4.7%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
	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) #s(literal 1 binary64)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	accuracy	11.4%	(-.f64 (exp.f64 x) #s(literal 1 binary64))
✓	accuracy	100.0%	(pow.f64 x #s(literal 3 binary64))
✓	accuracy	100.0%	(+.f64 x (*.f64 #s(literal -8999/27000 binary64) (pow.f64 x #s(literal 3 binary64))))
✓	accuracy	99.8%	(*.f64 #s(literal -8999/27000 binary64) (pow.f64 x #s(literal 3 binary64)))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) #s(literal 1/216000 binary64)))
✓	accuracy	100.0%	(*.f64 #s(literal -1/3 binary64) #s(literal 1/216000 binary64))
✓	accuracy	99.9%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) #s(literal 1/216000 binary64))))
✓	accuracy	100.0%	(*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))
✓	accuracy	100.0%	(.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)))))
✓	accuracy	100.0%	(-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))
✓	accuracy	99.7%	(.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)))

Results

276.0ms	213×	0	valid
31.0ms	42×	1	valid
1.0ms	1×	2	valid

Compiler

Compiled 129 to 29 computations (77.5% saved)

Precisions

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

ival-pow: 60.0ms (47.4% of total)

...c/correct-round.rkt:130:19: 24.0ms (19% of total)

ival-mult: 13.0ms (10.3% of total)

ival-exp: 11.0ms (8.7% of total)

ival-add: 6.0ms (4.7% of total)

backward-pass: 5.0ms (3.9% of total)

ival-sub: 4.0ms (3.2% of total)

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

const: 1.0ms (0.8% of total)

ival-neg: 1.0ms (0.8% of total)

series17.0ms (0.2%)

Counts

12 → 64

Calls

Call 1

Inputs
#<alt (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.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 (*.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 #s(literal -1/3 binary64) #s(literal 1/216000 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) #s(literal 1/216000 binary64)))>
#<alt (*.f64 #s(literal -1/3 binary64) #s(literal 1/216000 binary64))>
#<alt (*.f64 #s(literal -8999/27000 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (pow.f64 x #s(literal 3 binary64))>
#<alt (+.f64 x (*.f64 #s(literal -8999/27000 binary64) (pow.f64 x #s(literal 3 binary64))))>
#<alt (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))>
#<alt (-.f64 (exp.f64 x) #s(literal 1 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)))))>

Outputs
#<alt (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/8 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 1/8 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 1/8 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/8 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 1/8 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 1/8 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 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/8 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 1/8 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 1/8 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/8 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 1/8 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 1/8 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 647999/648000 binary64) x)>
#<alt (*.f64 #s(literal 647999/648000 binary64) x)>
#<alt (*.f64 #s(literal 647999/648000 binary64) x)>
#<alt (*.f64 #s(literal 647999/648000 binary64) x)>
#<alt (*.f64 #s(literal 647999/648000 binary64) x)>
#<alt (*.f64 #s(literal 647999/648000 binary64) x)>
#<alt (*.f64 #s(literal 647999/648000 binary64) x)>
#<alt (*.f64 #s(literal 647999/648000 binary64) x)>
#<alt (*.f64 #s(literal 647999/648000 binary64) x)>
#<alt (*.f64 #s(literal 647999/648000 binary64) x)>
#<alt (*.f64 #s(literal 647999/648000 binary64) x)>
#<alt (*.f64 #s(literal 647999/648000 binary64) x)>
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -8999/27000 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -8999/27000 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -8999/27000 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -8999/27000 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 8999/27000 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 8999/27000 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 8999/27000 binary64)))>
#<alt (*.f64 #s(literal -8999/27000 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 8999/27000 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 8999/27000 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 8999/27000 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) x)))>
#<alt (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/6 binary64) x)))))>
#<alt (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (-.f64 (.f64 #s(literal -5/48 binary64) x) #s(literal 1/6 binary64)))))))>
#<alt (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))>
#<alt (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))>
#<alt (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))>
#<alt (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) (+.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 1/2 binary64) x)))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 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 #s(literal 1/8 binary64) (pow.f64 x #s(literal 5 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/8 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 1/8 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 1/8 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 1/8 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 1/8 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 1/8 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 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))))>

Calls

30 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(* x (+ 1 (* (pow x 2) (- (* 1/8 (pow x 2)) 1/3))))
1.0ms	x	@	inf	(/ (- (exp x) 1) (+ (exp x) (exp (neg x))))
1.0ms	x	@	-inf	(/ (- (exp x) 1) (+ (exp x) (exp (neg x))))
1.0ms	x	@	-inf	(* x (+ 1 (* (pow x 2) (- (* 1/8 (pow x 2)) 1/3))))
0.0ms	x	@	0	(* -8999/27000 (pow x 3))

rewrite56.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	177
1	436	177
2	7756	177

Stop Event

1×

unsound

Counts

12 → 738

Calls

Call 1

Inputs
(*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 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 (*.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 #s(literal -1/3 binary64) #s(literal 1/216000 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) #s(literal 1/216000 binary64)))
(*.f64 #s(literal -1/3 binary64) #s(literal 1/216000 binary64))
(*.f64 #s(literal -8999/27000 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
(+.f64 x (*.f64 #s(literal -8999/27000 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) #s(literal 1 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)))))

Outputs
#s(literal -19/9 binary64)
#s(literal -2 binary64)
#s(literal -4/3 binary64)
#s(literal -1 binary64)
#s(literal -80/81 binary64)
#s(literal -26/27 binary64)
#s(literal -8/9 binary64)
#s(literal -2/3 binary64)
#s(literal -1/3 binary64)
#s(literal -8999/27000 binary64)
#s(literal -19/81 binary64)
#s(literal -2/9 binary64)
#s(literal -1/9 binary64)
#s(literal -1/27 binary64)
#s(literal -728757026999/19683000000000 binary64)
#s(literal 0 binary64)
#s(literal 1/729 binary64)
#s(literal 1/512 binary64)
#s(literal 1/81 binary64)
#s(literal 1/64 binary64)
#s(literal 1/24 binary64)
#s(literal 1/12 binary64)
#s(literal 80982001/729000000 binary64)
#s(literal 1/9 binary64)
#s(literal 10/81 binary64)
#s(literal 1/8 binary64)
#s(literal 8999/27000 binary64)
#s(literal 4/9 binary64)
#s(literal 9/19 binary64)
#s(literal 1/2 binary64)
#s(literal 16/27 binary64)
#s(literal 52/81 binary64)
#s(literal 2/3 binary64)
#s(literal 512/729 binary64)
#s(literal 3/4 binary64)
#s(literal 64/81 binary64)
#s(literal 208/243 binary64)
#s(literal 8/9 binary64)
#s(literal 17576/19683 binary64)
#s(literal 73/81 binary64)
#s(literal 676/729 binary64)
#s(literal 26/27 binary64)
#s(literal 80/81 binary64)
#s(literal 728/729 binary64)
#s(literal 419902704001/419904000000 binary64)
#s(literal 647999/648000 binary64)
#s(literal 1 binary64)
#s(literal 730/729 binary64)
#s(literal 10/9 binary64)
#s(literal 91/81 binary64)
#s(literal 100/81 binary64)
#s(literal 4/3 binary64)
#s(literal 1000/729 binary64)
#s(literal 13/9 binary64)
#s(literal 3/2 binary64)
#s(literal 5/3 binary64)
#s(literal 16/9 binary64)
#s(literal 2 binary64)
#s(literal 19/9 binary64)
#s(literal 57/26 binary64)
#s(literal 64/27 binary64)
#s(literal 76/27 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 361/81 binary64)
#s(literal 6 binary64)
#s(literal 6859/729 binary64)
#s(literal -19/9 binary64)
#s(literal -2 binary64)
#s(literal -4/3 binary64)
#s(literal -1 binary64)
#s(literal -80/81 binary64)
#s(literal -26/27 binary64)
#s(literal -8/9 binary64)
#s(literal -2/3 binary64)
#s(literal -1/3 binary64)
#s(literal -8999/27000 binary64)
#s(literal -19/81 binary64)
#s(literal -2/9 binary64)
#s(literal -1/9 binary64)
#s(literal -1/27 binary64)
#s(literal -728757026999/19683000000000 binary64)
#s(literal 0 binary64)
#s(literal 1/729 binary64)
#s(literal 1/512 binary64)
#s(literal 1/81 binary64)
#s(literal 1/64 binary64)
#s(literal 1/24 binary64)
#s(literal 1/12 binary64)
#s(literal 80982001/729000000 binary64)
#s(literal 1/9 binary64)
#s(literal 10/81 binary64)
#s(literal 1/8 binary64)
#s(literal 8999/27000 binary64)
#s(literal 4/9 binary64)
#s(literal 9/19 binary64)
#s(literal 1/2 binary64)
#s(literal 16/27 binary64)
#s(literal 52/81 binary64)
#s(literal 2/3 binary64)
#s(literal 512/729 binary64)
#s(literal 3/4 binary64)
#s(literal 64/81 binary64)
#s(literal 208/243 binary64)
#s(literal 8/9 binary64)
#s(literal 17576/19683 binary64)
#s(literal 73/81 binary64)
#s(literal 676/729 binary64)
#s(literal 26/27 binary64)
#s(literal 80/81 binary64)
#s(literal 728/729 binary64)
#s(literal 419902704001/419904000000 binary64)
#s(literal 647999/648000 binary64)
#s(literal 1 binary64)
#s(literal 730/729 binary64)
#s(literal 10/9 binary64)
#s(literal 91/81 binary64)
#s(literal 100/81 binary64)
#s(literal 4/3 binary64)
#s(literal 1000/729 binary64)
#s(literal 13/9 binary64)
#s(literal 3/2 binary64)
#s(literal 5/3 binary64)
#s(literal 16/9 binary64)
#s(literal 2 binary64)
#s(literal 19/9 binary64)
#s(literal 57/26 binary64)
#s(literal 64/27 binary64)
#s(literal 76/27 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 361/81 binary64)
#s(literal 6 binary64)
#s(literal 6859/729 binary64)
#s(literal -19/9 binary64)
#s(literal -2 binary64)
#s(literal -4/3 binary64)
#s(literal -1 binary64)
#s(literal -80/81 binary64)
#s(literal -26/27 binary64)
#s(literal -8/9 binary64)
#s(literal -2/3 binary64)
#s(literal -1/3 binary64)
#s(literal -8999/27000 binary64)
#s(literal -19/81 binary64)
#s(literal -2/9 binary64)
#s(literal -1/9 binary64)
#s(literal -1/27 binary64)
#s(literal -728757026999/19683000000000 binary64)
#s(literal 0 binary64)
#s(literal 1/729 binary64)
#s(literal 1/512 binary64)
#s(literal 1/81 binary64)
#s(literal 1/64 binary64)
#s(literal 1/24 binary64)
#s(literal 1/12 binary64)
#s(literal 80982001/729000000 binary64)
#s(literal 1/9 binary64)
#s(literal 10/81 binary64)
#s(literal 1/8 binary64)
#s(literal 8999/27000 binary64)
#s(literal 4/9 binary64)
#s(literal 9/19 binary64)
#s(literal 1/2 binary64)
#s(literal 16/27 binary64)
#s(literal 52/81 binary64)
#s(literal 2/3 binary64)
#s(literal 512/729 binary64)
#s(literal 3/4 binary64)
#s(literal 64/81 binary64)
#s(literal 208/243 binary64)
#s(literal 8/9 binary64)
#s(literal 17576/19683 binary64)
#s(literal 73/81 binary64)
#s(literal 676/729 binary64)
#s(literal 26/27 binary64)
#s(literal 80/81 binary64)
#s(literal 728/729 binary64)
#s(literal 419902704001/419904000000 binary64)
#s(literal 647999/648000 binary64)
#s(literal 1 binary64)
#s(literal 730/729 binary64)
#s(literal 10/9 binary64)
#s(literal 91/81 binary64)
#s(literal 100/81 binary64)
#s(literal 4/3 binary64)
#s(literal 1000/729 binary64)
#s(literal 13/9 binary64)
#s(literal 3/2 binary64)
#s(literal 5/3 binary64)
#s(literal 16/9 binary64)
#s(literal 2 binary64)
#s(literal 19/9 binary64)
#s(literal 57/26 binary64)
#s(literal 64/27 binary64)
#s(literal 76/27 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 361/81 binary64)
#s(literal 6 binary64)
#s(literal 6859/729 binary64)
#s(literal -19/9 binary64)
#s(literal -2 binary64)
#s(literal -4/3 binary64)
#s(literal -1 binary64)
#s(literal -80/81 binary64)
#s(literal -26/27 binary64)
#s(literal -8/9 binary64)
#s(literal -2/3 binary64)
#s(literal -1/3 binary64)
#s(literal -8999/27000 binary64)
#s(literal -19/81 binary64)
#s(literal -2/9 binary64)
#s(literal -1/9 binary64)
#s(literal -1/27 binary64)
#s(literal -728757026999/19683000000000 binary64)
#s(literal 0 binary64)
#s(literal 1/729 binary64)
#s(literal 1/512 binary64)
#s(literal 1/81 binary64)
#s(literal 1/64 binary64)
#s(literal 1/24 binary64)
#s(literal 1/12 binary64)
#s(literal 80982001/729000000 binary64)
#s(literal 1/9 binary64)
#s(literal 10/81 binary64)
#s(literal 1/8 binary64)
#s(literal 8999/27000 binary64)
#s(literal 4/9 binary64)
#s(literal 9/19 binary64)
#s(literal 1/2 binary64)
#s(literal 16/27 binary64)
#s(literal 52/81 binary64)
#s(literal 2/3 binary64)
#s(literal 512/729 binary64)
#s(literal 3/4 binary64)
#s(literal 64/81 binary64)
#s(literal 208/243 binary64)
#s(literal 8/9 binary64)
#s(literal 17576/19683 binary64)
#s(literal 73/81 binary64)
#s(literal 676/729 binary64)
#s(literal 26/27 binary64)
#s(literal 80/81 binary64)
#s(literal 728/729 binary64)
#s(literal 419902704001/419904000000 binary64)
#s(literal 647999/648000 binary64)
#s(literal 1 binary64)
#s(literal 730/729 binary64)
#s(literal 10/9 binary64)
#s(literal 91/81 binary64)
#s(literal 100/81 binary64)
#s(literal 4/3 binary64)
#s(literal 1000/729 binary64)
#s(literal 13/9 binary64)
#s(literal 3/2 binary64)
#s(literal 5/3 binary64)
#s(literal 16/9 binary64)
#s(literal 2 binary64)
#s(literal 19/9 binary64)
#s(literal 57/26 binary64)
#s(literal 64/27 binary64)
#s(literal 76/27 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 361/81 binary64)
#s(literal 6 binary64)
#s(literal 6859/729 binary64)
#s(literal -19/9 binary64)
#s(literal -2 binary64)
#s(literal -4/3 binary64)
#s(literal -1 binary64)
#s(literal -80/81 binary64)
#s(literal -26/27 binary64)
#s(literal -8/9 binary64)
#s(literal -2/3 binary64)
#s(literal -1/3 binary64)
#s(literal -8999/27000 binary64)
#s(literal -19/81 binary64)
#s(literal -2/9 binary64)
#s(literal -1/9 binary64)
#s(literal -1/27 binary64)
#s(literal -728757026999/19683000000000 binary64)
#s(literal 0 binary64)
#s(literal 1/729 binary64)
#s(literal 1/512 binary64)
#s(literal 1/81 binary64)
#s(literal 1/64 binary64)
#s(literal 1/24 binary64)
#s(literal 1/12 binary64)
#s(literal 80982001/729000000 binary64)
#s(literal 1/9 binary64)
#s(literal 10/81 binary64)
#s(literal 1/8 binary64)
#s(literal 8999/27000 binary64)
#s(literal 4/9 binary64)
#s(literal 9/19 binary64)
#s(literal 1/2 binary64)
#s(literal 16/27 binary64)
#s(literal 52/81 binary64)
#s(literal 2/3 binary64)
#s(literal 512/729 binary64)
#s(literal 3/4 binary64)
#s(literal 64/81 binary64)
#s(literal 208/243 binary64)
#s(literal 8/9 binary64)
#s(literal 17576/19683 binary64)
#s(literal 73/81 binary64)
#s(literal 676/729 binary64)
#s(literal 26/27 binary64)
#s(literal 80/81 binary64)
#s(literal 728/729 binary64)
#s(literal 419902704001/419904000000 binary64)
#s(literal 647999/648000 binary64)
#s(literal 1 binary64)
#s(literal 730/729 binary64)
#s(literal 10/9 binary64)
#s(literal 91/81 binary64)
#s(literal 100/81 binary64)
#s(literal 4/3 binary64)
#s(literal 1000/729 binary64)
#s(literal 13/9 binary64)
#s(literal 3/2 binary64)
#s(literal 5/3 binary64)
#s(literal 16/9 binary64)
#s(literal 2 binary64)
#s(literal 19/9 binary64)
#s(literal 57/26 binary64)
#s(literal 64/27 binary64)
#s(literal 76/27 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 361/81 binary64)
#s(literal 6 binary64)
#s(literal 6859/729 binary64)
#s(literal -1/648000 binary64)
#s(literal -19/9 binary64)
#s(literal -2 binary64)
#s(literal -4/3 binary64)
#s(literal -1 binary64)
#s(literal -80/81 binary64)
#s(literal -26/27 binary64)
#s(literal -8/9 binary64)
#s(literal -2/3 binary64)
#s(literal -1/3 binary64)
#s(literal -8999/27000 binary64)
#s(literal -19/81 binary64)
#s(literal -2/9 binary64)
#s(literal -1/9 binary64)
#s(literal -1/27 binary64)
#s(literal -728757026999/19683000000000 binary64)
#s(literal 0 binary64)
#s(literal 1/729 binary64)
#s(literal 1/512 binary64)
#s(literal 1/81 binary64)
#s(literal 1/64 binary64)
#s(literal 1/24 binary64)
#s(literal 1/12 binary64)
#s(literal 80982001/729000000 binary64)
#s(literal 1/9 binary64)
#s(literal 10/81 binary64)
#s(literal 1/8 binary64)
#s(literal 8999/27000 binary64)
#s(literal 4/9 binary64)
#s(literal 9/19 binary64)
#s(literal 1/2 binary64)
#s(literal 16/27 binary64)
#s(literal 52/81 binary64)
#s(literal 2/3 binary64)
#s(literal 512/729 binary64)
#s(literal 3/4 binary64)
#s(literal 64/81 binary64)
#s(literal 208/243 binary64)
#s(literal 8/9 binary64)
#s(literal 17576/19683 binary64)
#s(literal 73/81 binary64)
#s(literal 676/729 binary64)
#s(literal 26/27 binary64)
#s(literal 80/81 binary64)
#s(literal 728/729 binary64)
#s(literal 419902704001/419904000000 binary64)
#s(literal 647999/648000 binary64)
#s(literal 1 binary64)
#s(literal 730/729 binary64)
#s(literal 10/9 binary64)
#s(literal 91/81 binary64)
#s(literal 100/81 binary64)
#s(literal 4/3 binary64)
#s(literal 1000/729 binary64)
#s(literal 13/9 binary64)
#s(literal 3/2 binary64)
#s(literal 5/3 binary64)
#s(literal 16/9 binary64)
#s(literal 2 binary64)
#s(literal 19/9 binary64)
#s(literal 57/26 binary64)
#s(literal 64/27 binary64)
#s(literal 76/27 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 361/81 binary64)
#s(literal 6 binary64)
#s(literal 6859/729 binary64)
#s(literal -19/9 binary64)
#s(literal -2 binary64)
#s(literal -4/3 binary64)
#s(literal -1 binary64)
#s(literal -80/81 binary64)
#s(literal -26/27 binary64)
#s(literal -8/9 binary64)
#s(literal -2/3 binary64)
#s(literal -1/3 binary64)
#s(literal -8999/27000 binary64)
#s(literal -19/81 binary64)
#s(literal -2/9 binary64)
#s(literal -1/9 binary64)
#s(literal -1/27 binary64)
#s(literal -728757026999/19683000000000 binary64)
#s(literal 0 binary64)
#s(literal 1/729 binary64)
#s(literal 1/512 binary64)
#s(literal 1/81 binary64)
#s(literal 1/64 binary64)
#s(literal 1/24 binary64)
#s(literal 1/12 binary64)
#s(literal 80982001/729000000 binary64)
#s(literal 1/9 binary64)
#s(literal 10/81 binary64)
#s(literal 1/8 binary64)
#s(literal 8999/27000 binary64)
#s(literal 4/9 binary64)
#s(literal 9/19 binary64)
#s(literal 1/2 binary64)
#s(literal 16/27 binary64)
#s(literal 52/81 binary64)
#s(literal 2/3 binary64)
#s(literal 512/729 binary64)
#s(literal 3/4 binary64)
#s(literal 64/81 binary64)
#s(literal 208/243 binary64)
#s(literal 8/9 binary64)
#s(literal 17576/19683 binary64)
#s(literal 73/81 binary64)
#s(literal 676/729 binary64)
#s(literal 26/27 binary64)
#s(literal 80/81 binary64)
#s(literal 728/729 binary64)
#s(literal 419902704001/419904000000 binary64)
#s(literal 647999/648000 binary64)
#s(literal 1 binary64)
#s(literal 730/729 binary64)
#s(literal 10/9 binary64)
#s(literal 91/81 binary64)
#s(literal 100/81 binary64)
#s(literal 4/3 binary64)
#s(literal 1000/729 binary64)
#s(literal 13/9 binary64)
#s(literal 3/2 binary64)
#s(literal 5/3 binary64)
#s(literal 16/9 binary64)
#s(literal 2 binary64)
#s(literal 19/9 binary64)
#s(literal 57/26 binary64)
#s(literal 64/27 binary64)
#s(literal 76/27 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 361/81 binary64)
#s(literal 6 binary64)
#s(literal 6859/729 binary64)
#s(literal -19/9 binary64)
#s(literal -2 binary64)
#s(literal -4/3 binary64)
#s(literal -1 binary64)
#s(literal -80/81 binary64)
#s(literal -26/27 binary64)
#s(literal -8/9 binary64)
#s(literal -2/3 binary64)
#s(literal -1/3 binary64)
#s(literal -8999/27000 binary64)
#s(literal -19/81 binary64)
#s(literal -2/9 binary64)
#s(literal -1/9 binary64)
#s(literal -1/27 binary64)
#s(literal -728757026999/19683000000000 binary64)
#s(literal 0 binary64)
#s(literal 1/729 binary64)
#s(literal 1/512 binary64)
#s(literal 1/81 binary64)
#s(literal 1/64 binary64)
#s(literal 1/24 binary64)
#s(literal 1/12 binary64)
#s(literal 80982001/729000000 binary64)
#s(literal 1/9 binary64)
#s(literal 10/81 binary64)
#s(literal 1/8 binary64)
#s(literal 8999/27000 binary64)
#s(literal 4/9 binary64)
#s(literal 9/19 binary64)
#s(literal 1/2 binary64)
#s(literal 16/27 binary64)
#s(literal 52/81 binary64)
#s(literal 2/3 binary64)
#s(literal 512/729 binary64)
#s(literal 3/4 binary64)
#s(literal 64/81 binary64)
#s(literal 208/243 binary64)
#s(literal 8/9 binary64)
#s(literal 17576/19683 binary64)
#s(literal 73/81 binary64)
#s(literal 676/729 binary64)
#s(literal 26/27 binary64)
#s(literal 80/81 binary64)
#s(literal 728/729 binary64)
#s(literal 419902704001/419904000000 binary64)
#s(literal 647999/648000 binary64)
#s(literal 1 binary64)
#s(literal 730/729 binary64)
#s(literal 10/9 binary64)
#s(literal 91/81 binary64)
#s(literal 100/81 binary64)
#s(literal 4/3 binary64)
#s(literal 1000/729 binary64)
#s(literal 13/9 binary64)
#s(literal 3/2 binary64)
#s(literal 5/3 binary64)
#s(literal 16/9 binary64)
#s(literal 2 binary64)
#s(literal 19/9 binary64)
#s(literal 57/26 binary64)
#s(literal 64/27 binary64)
#s(literal 76/27 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 361/81 binary64)
#s(literal 6 binary64)
#s(literal 6859/729 binary64)
#s(literal -19/9 binary64)
#s(literal -2 binary64)
#s(literal -4/3 binary64)
#s(literal -1 binary64)
#s(literal -80/81 binary64)
#s(literal -26/27 binary64)
#s(literal -8/9 binary64)
#s(literal -2/3 binary64)
#s(literal -1/3 binary64)
#s(literal -8999/27000 binary64)
#s(literal -19/81 binary64)
#s(literal -2/9 binary64)
#s(literal -1/9 binary64)
#s(literal -1/27 binary64)
#s(literal -728757026999/19683000000000 binary64)
#s(literal 0 binary64)
#s(literal 1/729 binary64)
#s(literal 1/512 binary64)
#s(literal 1/81 binary64)
#s(literal 1/64 binary64)
#s(literal 1/24 binary64)
#s(literal 1/12 binary64)
#s(literal 80982001/729000000 binary64)
#s(literal 1/9 binary64)
#s(literal 10/81 binary64)
#s(literal 1/8 binary64)
#s(literal 8999/27000 binary64)
#s(literal 4/9 binary64)
#s(literal 9/19 binary64)
#s(literal 1/2 binary64)
#s(literal 16/27 binary64)
#s(literal 52/81 binary64)
#s(literal 2/3 binary64)
#s(literal 512/729 binary64)
#s(literal 3/4 binary64)
#s(literal 64/81 binary64)
#s(literal 208/243 binary64)
#s(literal 8/9 binary64)
#s(literal 17576/19683 binary64)
#s(literal 73/81 binary64)
#s(literal 676/729 binary64)
#s(literal 26/27 binary64)
#s(literal 80/81 binary64)
#s(literal 728/729 binary64)
#s(literal 419902704001/419904000000 binary64)
#s(literal 647999/648000 binary64)
#s(literal 1 binary64)
#s(literal 730/729 binary64)
#s(literal 10/9 binary64)
#s(literal 91/81 binary64)
#s(literal 100/81 binary64)
#s(literal 4/3 binary64)
#s(literal 1000/729 binary64)
#s(literal 13/9 binary64)
#s(literal 3/2 binary64)
#s(literal 5/3 binary64)
#s(literal 16/9 binary64)
#s(literal 2 binary64)
#s(literal 19/9 binary64)
#s(literal 57/26 binary64)
#s(literal 64/27 binary64)
#s(literal 76/27 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 361/81 binary64)
#s(literal 6 binary64)
#s(literal 6859/729 binary64)
#s(literal -19/9 binary64)
#s(literal -2 binary64)
#s(literal -4/3 binary64)
#s(literal -1 binary64)
#s(literal -80/81 binary64)
#s(literal -26/27 binary64)
#s(literal -8/9 binary64)
#s(literal -2/3 binary64)
#s(literal -1/3 binary64)
#s(literal -8999/27000 binary64)
#s(literal -19/81 binary64)
#s(literal -2/9 binary64)
#s(literal -1/9 binary64)
#s(literal -1/27 binary64)
#s(literal -728757026999/19683000000000 binary64)
#s(literal 0 binary64)
#s(literal 1/729 binary64)
#s(literal 1/512 binary64)
#s(literal 1/81 binary64)
#s(literal 1/64 binary64)
#s(literal 1/24 binary64)
#s(literal 1/12 binary64)
#s(literal 80982001/729000000 binary64)
#s(literal 1/9 binary64)
#s(literal 10/81 binary64)
#s(literal 1/8 binary64)
#s(literal 8999/27000 binary64)
#s(literal 4/9 binary64)
#s(literal 9/19 binary64)
#s(literal 1/2 binary64)
#s(literal 16/27 binary64)
#s(literal 52/81 binary64)
#s(literal 2/3 binary64)
#s(literal 512/729 binary64)
#s(literal 3/4 binary64)
#s(literal 64/81 binary64)
#s(literal 208/243 binary64)
#s(literal 8/9 binary64)
#s(literal 17576/19683 binary64)
#s(literal 73/81 binary64)
#s(literal 676/729 binary64)
#s(literal 26/27 binary64)
#s(literal 80/81 binary64)
#s(literal 728/729 binary64)
#s(literal 419902704001/419904000000 binary64)
#s(literal 647999/648000 binary64)
#s(literal 1 binary64)
#s(literal 730/729 binary64)
#s(literal 10/9 binary64)
#s(literal 91/81 binary64)
#s(literal 100/81 binary64)
#s(literal 4/3 binary64)
#s(literal 1000/729 binary64)
#s(literal 13/9 binary64)
#s(literal 3/2 binary64)
#s(literal 5/3 binary64)
#s(literal 16/9 binary64)
#s(literal 2 binary64)
#s(literal 19/9 binary64)
#s(literal 57/26 binary64)
#s(literal 64/27 binary64)
#s(literal 76/27 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 361/81 binary64)
#s(literal 6 binary64)
#s(literal 6859/729 binary64)
#s(literal -19/9 binary64)
#s(literal -2 binary64)
#s(literal -4/3 binary64)
#s(literal -1 binary64)
#s(literal -80/81 binary64)
#s(literal -26/27 binary64)
#s(literal -8/9 binary64)
#s(literal -2/3 binary64)
#s(literal -1/3 binary64)
#s(literal -8999/27000 binary64)
#s(literal -19/81 binary64)
#s(literal -2/9 binary64)
#s(literal -1/9 binary64)
#s(literal -1/27 binary64)
#s(literal -728757026999/19683000000000 binary64)
#s(literal 0 binary64)
#s(literal 1/729 binary64)
#s(literal 1/512 binary64)
#s(literal 1/81 binary64)
#s(literal 1/64 binary64)
#s(literal 1/24 binary64)
#s(literal 1/12 binary64)
#s(literal 80982001/729000000 binary64)
#s(literal 1/9 binary64)
#s(literal 10/81 binary64)
#s(literal 1/8 binary64)
#s(literal 8999/27000 binary64)
#s(literal 4/9 binary64)
#s(literal 9/19 binary64)
#s(literal 1/2 binary64)
#s(literal 16/27 binary64)
#s(literal 52/81 binary64)
#s(literal 2/3 binary64)
#s(literal 512/729 binary64)
#s(literal 3/4 binary64)
#s(literal 64/81 binary64)
#s(literal 208/243 binary64)
#s(literal 8/9 binary64)
#s(literal 17576/19683 binary64)
#s(literal 73/81 binary64)
#s(literal 676/729 binary64)
#s(literal 26/27 binary64)
#s(literal 80/81 binary64)
#s(literal 728/729 binary64)
#s(literal 419902704001/419904000000 binary64)
#s(literal 647999/648000 binary64)
#s(literal 1 binary64)
#s(literal 730/729 binary64)
#s(literal 10/9 binary64)
#s(literal 91/81 binary64)
#s(literal 100/81 binary64)
#s(literal 4/3 binary64)
#s(literal 1000/729 binary64)
#s(literal 13/9 binary64)
#s(literal 3/2 binary64)
#s(literal 5/3 binary64)
#s(literal 16/9 binary64)
#s(literal 2 binary64)
#s(literal 19/9 binary64)
#s(literal 57/26 binary64)
#s(literal 64/27 binary64)
#s(literal 76/27 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 361/81 binary64)
#s(literal 6 binary64)
#s(literal 6859/729 binary64)

simplify137.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

998×	`fma-define`
756×	`fma-neg`
326×	`distribute-lft-in`
312×	`distribute-rgt-in`
274×	`associate-/l*`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	152	2473
1	320	2369
2	722	2329
3	1877	2215
4	4587	2215
5	7432	2215

Stop Event

1×	node limit

Counts

802 → 126

Calls

Call 1

Inputs
(*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/8 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 1/8 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 1/8 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/8 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 1/8 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 1/8 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 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/8 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 1/8 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 1/8 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/8 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 1/8 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 1/8 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 647999/648000 binary64) x)
(*.f64 #s(literal 647999/648000 binary64) x)
(*.f64 #s(literal 647999/648000 binary64) x)
(*.f64 #s(literal 647999/648000 binary64) x)
(*.f64 #s(literal 647999/648000 binary64) x)
(*.f64 #s(literal 647999/648000 binary64) x)
(*.f64 #s(literal 647999/648000 binary64) x)
(*.f64 #s(literal 647999/648000 binary64) x)
(*.f64 #s(literal 647999/648000 binary64) x)
(*.f64 #s(literal 647999/648000 binary64) x)
(*.f64 #s(literal 647999/648000 binary64) x)
(*.f64 #s(literal 647999/648000 binary64) x)
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -8999/27000 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -8999/27000 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -8999/27000 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal -8999/27000 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 8999/27000 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 8999/27000 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 8999/27000 binary64)))
(*.f64 #s(literal -8999/27000 binary64) (pow.f64 x #s(literal 3 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 8999/27000 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 8999/27000 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 8999/27000 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) x)
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/6 binary64) x)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (-.f64 (.f64 #s(literal -5/48 binary64) x) #s(literal 1/6 binary64)))))))
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) x)))))))
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 5 binary64)))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/8 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 1/8 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 1/8 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 1/8 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 1/8 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 1/8 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 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))))
#s(literal -19/9 binary64)
#s(literal -2 binary64)
#s(literal -4/3 binary64)
#s(literal -1 binary64)
#s(literal -80/81 binary64)
#s(literal -26/27 binary64)
#s(literal -8/9 binary64)
#s(literal -2/3 binary64)
#s(literal -1/3 binary64)
#s(literal -8999/27000 binary64)
#s(literal -19/81 binary64)
#s(literal -2/9 binary64)
#s(literal -1/9 binary64)
#s(literal -1/27 binary64)
#s(literal -728757026999/19683000000000 binary64)
#s(literal 0 binary64)
#s(literal 1/729 binary64)
#s(literal 1/512 binary64)
#s(literal 1/81 binary64)
#s(literal 1/64 binary64)
#s(literal 1/24 binary64)
#s(literal 1/12 binary64)
#s(literal 80982001/729000000 binary64)
#s(literal 1/9 binary64)
#s(literal 10/81 binary64)
#s(literal 1/8 binary64)
#s(literal 8999/27000 binary64)
#s(literal 4/9 binary64)
#s(literal 9/19 binary64)
#s(literal 1/2 binary64)
#s(literal 16/27 binary64)
#s(literal 52/81 binary64)
#s(literal 2/3 binary64)
#s(literal 512/729 binary64)
#s(literal 3/4 binary64)
#s(literal 64/81 binary64)
#s(literal 208/243 binary64)
#s(literal 8/9 binary64)
#s(literal 17576/19683 binary64)
#s(literal 73/81 binary64)
#s(literal 676/729 binary64)
#s(literal 26/27 binary64)
#s(literal 80/81 binary64)
#s(literal 728/729 binary64)
#s(literal 419902704001/419904000000 binary64)
#s(literal 647999/648000 binary64)
#s(literal 1 binary64)
#s(literal 730/729 binary64)
#s(literal 10/9 binary64)
#s(literal 91/81 binary64)
#s(literal 100/81 binary64)
#s(literal 4/3 binary64)
#s(literal 1000/729 binary64)
#s(literal 13/9 binary64)
#s(literal 3/2 binary64)
#s(literal 5/3 binary64)
#s(literal 16/9 binary64)
#s(literal 2 binary64)
#s(literal 19/9 binary64)
#s(literal 57/26 binary64)
#s(literal 64/27 binary64)
#s(literal 76/27 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 361/81 binary64)
#s(literal 6 binary64)
#s(literal 6859/729 binary64)
#s(literal -19/9 binary64)
#s(literal -2 binary64)
#s(literal -4/3 binary64)
#s(literal -1 binary64)
#s(literal -80/81 binary64)
#s(literal -26/27 binary64)
#s(literal -8/9 binary64)
#s(literal -2/3 binary64)
#s(literal -1/3 binary64)
#s(literal -8999/27000 binary64)
#s(literal -19/81 binary64)
#s(literal -2/9 binary64)
#s(literal -1/9 binary64)
#s(literal -1/27 binary64)
#s(literal -728757026999/19683000000000 binary64)
#s(literal 0 binary64)
#s(literal 1/729 binary64)
#s(literal 1/512 binary64)
#s(literal 1/81 binary64)
#s(literal 1/64 binary64)
#s(literal 1/24 binary64)
#s(literal 1/12 binary64)
#s(literal 80982001/729000000 binary64)
#s(literal 1/9 binary64)
#s(literal 10/81 binary64)
#s(literal 1/8 binary64)
#s(literal 8999/27000 binary64)
#s(literal 4/9 binary64)
#s(literal 9/19 binary64)
#s(literal 1/2 binary64)
#s(literal 16/27 binary64)
#s(literal 52/81 binary64)
#s(literal 2/3 binary64)
#s(literal 512/729 binary64)
#s(literal 3/4 binary64)
#s(literal 64/81 binary64)
#s(literal 208/243 binary64)
#s(literal 8/9 binary64)
#s(literal 17576/19683 binary64)
#s(literal 73/81 binary64)
#s(literal 676/729 binary64)
#s(literal 26/27 binary64)
#s(literal 80/81 binary64)
#s(literal 728/729 binary64)
#s(literal 419902704001/419904000000 binary64)
#s(literal 647999/648000 binary64)
#s(literal 1 binary64)
#s(literal 730/729 binary64)
#s(literal 10/9 binary64)
#s(literal 91/81 binary64)
#s(literal 100/81 binary64)
#s(literal 4/3 binary64)
#s(literal 1000/729 binary64)
#s(literal 13/9 binary64)
#s(literal 3/2 binary64)
#s(literal 5/3 binary64)
#s(literal 16/9 binary64)
#s(literal 2 binary64)
#s(literal 19/9 binary64)
#s(literal 57/26 binary64)
#s(literal 64/27 binary64)
#s(literal 76/27 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 361/81 binary64)
#s(literal 6 binary64)
#s(literal 6859/729 binary64)
#s(literal -19/9 binary64)
#s(literal -2 binary64)
#s(literal -4/3 binary64)
#s(literal -1 binary64)
#s(literal -80/81 binary64)
#s(literal -26/27 binary64)
#s(literal -8/9 binary64)
#s(literal -2/3 binary64)
#s(literal -1/3 binary64)
#s(literal -8999/27000 binary64)
#s(literal -19/81 binary64)
#s(literal -2/9 binary64)
#s(literal -1/9 binary64)
#s(literal -1/27 binary64)
#s(literal -728757026999/19683000000000 binary64)
#s(literal 0 binary64)
#s(literal 1/729 binary64)
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#s(literal 1/81 binary64)
#s(literal 1/64 binary64)
#s(literal 1/24 binary64)
#s(literal 1/12 binary64)
#s(literal 80982001/729000000 binary64)
#s(literal 1/9 binary64)
#s(literal 10/81 binary64)
#s(literal 1/8 binary64)
#s(literal 8999/27000 binary64)
#s(literal 4/9 binary64)
#s(literal 9/19 binary64)
#s(literal 1/2 binary64)
#s(literal 16/27 binary64)
#s(literal 52/81 binary64)
#s(literal 2/3 binary64)
#s(literal 512/729 binary64)
#s(literal 3/4 binary64)
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#s(literal 208/243 binary64)
#s(literal 8/9 binary64)
#s(literal 17576/19683 binary64)
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#s(literal 419902704001/419904000000 binary64)
#s(literal 647999/648000 binary64)
#s(literal 1 binary64)
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#s(literal 4/3 binary64)
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#s(literal 5/3 binary64)
#s(literal 16/9 binary64)
#s(literal 2 binary64)
#s(literal 19/9 binary64)
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#s(literal 76/27 binary64)
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#s(literal 4 binary64)
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#s(literal 6 binary64)
#s(literal 6859/729 binary64)
#s(literal -19/9 binary64)
#s(literal -2 binary64)
#s(literal -4/3 binary64)
#s(literal -1 binary64)
#s(literal -80/81 binary64)
#s(literal -26/27 binary64)
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#s(literal 1/64 binary64)
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#s(literal 2/3 binary64)
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#s(literal 419902704001/419904000000 binary64)
#s(literal 647999/648000 binary64)
#s(literal 1 binary64)
#s(literal 730/729 binary64)
#s(literal 10/9 binary64)
#s(literal 91/81 binary64)
#s(literal 100/81 binary64)
#s(literal 4/3 binary64)
#s(literal 1000/729 binary64)
#s(literal 13/9 binary64)
#s(literal 3/2 binary64)
#s(literal 5/3 binary64)
#s(literal 16/9 binary64)
#s(literal 2 binary64)
#s(literal 19/9 binary64)
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#s(literal 6859/729 binary64)
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#s(literal 419902704001/419904000000 binary64)
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#s(literal 19/9 binary64)
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#s(literal 6859/729 binary64)
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#s(literal -26/27 binary64)
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#s(literal -2/3 binary64)
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#s(literal -728757026999/19683000000000 binary64)
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#s(literal 1/64 binary64)
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#s(literal 80982001/729000000 binary64)
#s(literal 1/9 binary64)
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#s(literal 8999/27000 binary64)
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#s(literal 1000/729 binary64)
#s(literal 13/9 binary64)
#s(literal 3/2 binary64)
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#s(literal 64/27 binary64)
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#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 361/81 binary64)
#s(literal 6 binary64)
#s(literal 6859/729 binary64)
#s(literal -19/9 binary64)
#s(literal -2 binary64)
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#s(literal -26/27 binary64)
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#s(literal -19/81 binary64)
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#s(literal -728757026999/19683000000000 binary64)
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#s(literal 1/64 binary64)
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#s(literal 8999/27000 binary64)
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#s(literal 9/19 binary64)
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#s(literal 17576/19683 binary64)
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#s(literal 676/729 binary64)
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#s(literal 419902704001/419904000000 binary64)
#s(literal 647999/648000 binary64)
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#s(literal 730/729 binary64)
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#s(literal 4/3 binary64)
#s(literal 1000/729 binary64)
#s(literal 13/9 binary64)
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#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 361/81 binary64)
#s(literal 6 binary64)
#s(literal 6859/729 binary64)

Outputs
(*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/8 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 1/8 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 1/8 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 1/8 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 1/8 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 1/8 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 1/8 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 1/8 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 1/8 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/8 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 1/8 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 1/8 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 1/8 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 1/8 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 1/8 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 1/8 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 1/8 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 1/8 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(literal -1/3 binary64)
(*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/8 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/8 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 1/8 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/8 binary64) #s(literal -1/3 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/8 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 1/8 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/8 binary64) #s(literal -1/3 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/8 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 1/8 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/8 binary64) #s(literal -1/3 binary64))
(*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))
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eval44.0ms (0.6%)

Compiler: Compiled 3835 to 1268 computations (66.9% saved)

prune45.0ms (0.6%)

Pruning

23 alts after pruning (15 fresh and 8 done)

	Pruned	Kept	Total
New	298	5	303
Fresh	1	10	11
Picked	2	3	5
Done	0	5	5
Total	301	23	324

Accuracy

98.5%

Counts

324 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	9.0%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	96.5%	(/.f64 (.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 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	96.5%	(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))) (fma.f64 x x #s(literal 2 binary64)))
	19.3%	(/.f64 (expm1.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	95.9%	(+.f64 x (*.f64 #s(literal -8999/27000 binary64) (pow.f64 x #s(literal 3 binary64))))
	96.0%	(+.f64 x (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
	24.6%	(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))))
	96.3%	(.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)))))
✓	96.5%	(.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)))))
	95.7%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) #s(literal 3/17 binary64)) #s(literal 1/3 binary64)))))
✓	96.4%	(.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)))))
	95.9%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/8 binary64) #s(literal 4913/5832000 binary64)) #s(literal 1/3 binary64)))))
	96.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/8 binary64) #s(literal 1/216000 binary64)) #s(literal 1/3 binary64)))))
	95.8%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/64 binary64) #s(literal 1/3 binary64)))))
	95.9%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -8999/27000 binary64))))
	46.7%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/216000 binary64) (-.f64 (*.f64 #s(literal 2/15 binary64) #s(literal 1/3600 binary64)) #s(literal 1/3 binary64)))))
	23.8%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) #s(literal 3/17 binary64))))
	73.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) #s(literal 1/46656000000 binary64))))
	24.8%	(*.f64 x (+.f64 #s(literal 1 binary64) #s(literal -728757026999/19683000000000 binary64)))
	46.7%	(*.f64 x #s(literal 647999/648000 binary64))
	37.8%	(*.f64 x #s(literal 10799/10800 binary64))
✓	96.0%	x
✓	6.6%	#s(literal 10799/10800 binary64)

Compiler

Compiled 606 to 334 computations (44.9% saved)

regimes19.0ms (0.3%)

Counts

33 → 1

Calls

Call 1

Inputs
#s(literal 10799/10800 binary64)
#s(literal 3/2 binary64)
x
(*.f64 x #s(literal 10799/10800 binary64))
(*.f64 x #s(literal 647999/648000 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) #s(literal -728757026999/19683000000000 binary64)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) #s(literal 1/46656000000 binary64))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) #s(literal 1/216000 binary64))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) #s(literal 1/3600 binary64))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) #s(literal 3/17 binary64))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/216000 binary64) (-.f64 (*.f64 #s(literal 2/15 binary64) #s(literal 1/3600 binary64)) #s(literal 1/3 binary64)))))
(+.f64 x (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(+.f64 x (*.f64 #s(literal -8999/27000 binary64) (pow.f64 x #s(literal 3 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 (pow.f64 x #s(literal 2 binary64)) #s(literal -8999/27000 binary64))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/64 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) #s(literal 1/216000 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) #s(literal 4913/5832000 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) #s(literal 1/216000 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) #s(literal 1/3600 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) #s(literal 3/17 binary64)) #s(literal 1/3 binary64)))))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))) (fma.f64 x 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 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))))
(/.f64 (expm1.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (.f64 x (+.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 (pow.f64 x #s(literal 5 binary64)) (-.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 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 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (.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 (exp.f64 x) (exp.f64 (neg.f64 x))))

Outputs

(/.f64 (*.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 (exp.f64 x) (exp.f64 (neg.f64 x))))

Calls

2 calls:

9.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
9.0ms	x

Results

Accuracy	Segments	Branch
96.5%	1	`x`
96.5%	1	`(/.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)

regimes23.0ms (0.3%)

Counts

32 → 1

Calls

Call 1

Inputs
#s(literal 10799/10800 binary64)
#s(literal 3/2 binary64)
x
(*.f64 x #s(literal 10799/10800 binary64))
(*.f64 x #s(literal 647999/648000 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) #s(literal -728757026999/19683000000000 binary64)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) #s(literal 1/46656000000 binary64))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) #s(literal 1/216000 binary64))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) #s(literal 1/3600 binary64))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) #s(literal 3/17 binary64))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/216000 binary64) (-.f64 (*.f64 #s(literal 2/15 binary64) #s(literal 1/3600 binary64)) #s(literal 1/3 binary64)))))
(+.f64 x (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(+.f64 x (*.f64 #s(literal -8999/27000 binary64) (pow.f64 x #s(literal 3 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 (pow.f64 x #s(literal 2 binary64)) #s(literal -8999/27000 binary64))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/64 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) #s(literal 1/216000 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) #s(literal 4913/5832000 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) #s(literal 1/216000 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) #s(literal 1/3600 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) #s(literal 3/17 binary64)) #s(literal 1/3 binary64)))))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))) (fma.f64 x 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 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))))
(/.f64 (expm1.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (.f64 x (+.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 (pow.f64 x #s(literal 5 binary64)) (-.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 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 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Outputs
(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))) (fma.f64 x x #s(literal 2 binary64)))

Calls

2 calls:

15.0ms	x
7.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Results

Accuracy	Segments	Branch
96.5%	1	`x`
96.5%	1	`(/.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)

regimes7.0ms (0.1%)

Counts

22 → 1

Calls

Call 1

Inputs
#s(literal 10799/10800 binary64)
#s(literal 3/2 binary64)
x
(*.f64 x #s(literal 10799/10800 binary64))
(*.f64 x #s(literal 647999/648000 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) #s(literal -728757026999/19683000000000 binary64)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) #s(literal 1/46656000000 binary64))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) #s(literal 1/216000 binary64))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) #s(literal 1/3600 binary64))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) #s(literal 3/17 binary64))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/216000 binary64) (-.f64 (*.f64 #s(literal 2/15 binary64) #s(literal 1/3600 binary64)) #s(literal 1/3 binary64)))))
(+.f64 x (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(+.f64 x (*.f64 #s(literal -8999/27000 binary64) (pow.f64 x #s(literal 3 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 (pow.f64 x #s(literal 2 binary64)) #s(literal -8999/27000 binary64))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/64 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) #s(literal 1/216000 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) #s(literal 4913/5832000 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) #s(literal 1/216000 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) #s(literal 1/3600 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) #s(literal 3/17 binary64)) #s(literal 1/3 binary64)))))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)

Outputs
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/8 binary64) #s(literal 1/216000 binary64)) #s(literal 1/3 binary64)))))

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
96.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

Counts

16 → 1

Calls

Call 1

Inputs
#s(literal 10799/10800 binary64)
#s(literal 3/2 binary64)
x
(*.f64 x #s(literal 10799/10800 binary64))
(*.f64 x #s(literal 647999/648000 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) #s(literal -728757026999/19683000000000 binary64)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) #s(literal 1/46656000000 binary64))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) #s(literal 1/216000 binary64))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) #s(literal 1/3600 binary64))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) #s(literal 3/17 binary64))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/216000 binary64) (-.f64 (*.f64 #s(literal 2/15 binary64) #s(literal 1/3600 binary64)) #s(literal 1/3 binary64)))))
(+.f64 x (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(+.f64 x (*.f64 #s(literal -8999/27000 binary64) (pow.f64 x #s(literal 3 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 (pow.f64 x #s(literal 2 binary64)) #s(literal -8999/27000 binary64))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/64 binary64) #s(literal 1/3 binary64)))))

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
96.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0.1%)

Counts

11 → 1

Calls

Call 1

Inputs
#s(literal 10799/10800 binary64)
#s(literal 3/2 binary64)
x
(*.f64 x #s(literal 10799/10800 binary64))
(*.f64 x #s(literal 647999/648000 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) #s(literal -728757026999/19683000000000 binary64)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) #s(literal 1/46656000000 binary64))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) #s(literal 1/216000 binary64))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) #s(literal 1/3600 binary64))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) #s(literal 3/17 binary64))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/216000 binary64) (-.f64 (*.f64 #s(literal 2/15 binary64) #s(literal 1/3600 binary64)) #s(literal 1/3 binary64)))))

Outputs
x

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
96.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total -0.4b remaining (-0.7%)

Threshold costs -0.4b (-0.7%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 10799/10800 binary64)
#s(literal 3/2 binary64)

Outputs
#s(literal 10799/10800 binary64)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
6.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	215
1	69	215
2	71	215
3	72	215

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (.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 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))) (fma.f64 x 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) #s(literal 1/216000 binary64)) #s(literal 1/3 binary64)))))
(+.f64 x (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
x
#s(literal 10799/10800 binary64)

Outputs
(/.f64 (.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 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))) (fma.f64 x 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) #s(literal 1/216000 binary64)) #s(literal 1/3 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -575999/1728000 binary64))))
(+.f64 x (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
x
#s(literal 10799/10800 binary64)

soundness669.0ms (9.1%)

Rules

573×	`distribute-lft-in`
537×	`distribute-rgt-in`
508×	`fma-neg`
399×	`associate-r`
396×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	150
1	646	150
0	95	1127
1	262	1030
2	713	1006
3	2117	1006
4	3093	1006
5	4606	1006
6	5288	1006
7	6691	1006
0	38	160
1	470	160
0	172	3113
1	450	2858
2	1184	2778
3	3719	2620
4	6997	2620

Stop Event

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

Compiler

Compiled 266 to 115 computations (56.8% saved)

preprocess42.0ms (0.6%)

Remove: (negabs x)
Compiler: Compiled 324 to 190 computations (41.4% saved)

analyze0.0ms (0%)

sample2.5s (34.7%)

preprocess138.0ms (1.9%)

explain175.0ms (2.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify72.0ms (1%)

localize63.0ms (0.9%)

series7.0ms (0.1%)

rewrite158.0ms (2.1%)

simplify178.0ms (2.4%)

eval10.0ms (0.1%)

prune25.0ms (0.3%)

simplify131.0ms (1.8%)

localize284.0ms (3.9%)

series31.0ms (0.4%)

rewrite64.0ms (0.9%)

simplify266.0ms (3.6%)

eval94.0ms (1.3%)

prune239.0ms (3.3%)

simplify244.0ms (3.3%)

localize269.0ms (3.7%)

series59.0ms (0.8%)

rewrite54.0ms (0.7%)

simplify121.0ms (1.7%)

eval46.0ms (0.6%)

prune289.0ms (3.9%)

simplify350.0ms (4.8%)

localize341.0ms (4.7%)

series17.0ms (0.2%)

rewrite56.0ms (0.8%)

simplify137.0ms (1.9%)

eval44.0ms (0.6%)

prune45.0ms (0.6%)

regimes19.0ms (0.3%)

regimes23.0ms (0.3%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes2.0ms (0%)

simplify4.0ms (0.1%)

soundness669.0ms (9.1%)

preprocess42.0ms (0.6%)

end0.0ms (0%)

Profiling