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)

sample5.5s (58%)

Results

3.4s	7788×	1	valid
1.3s	7737×	0	unsamplable
33.0ms	468×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.4s

ival-exp: 1.5s (44.1% of total)

ival-add: 506.0ms (14.7% of total)

ival-div: 475.0ms (13.8% of total)

ival-sub: 421.0ms (12.2% of total)

backward-pass: 352.0ms (10.2% of total)

ival-neg: 160.0ms (4.6% of total)

const: 15.0ms (0.4% of total)

Bogosity

preprocess172.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Calls

Call 1

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

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

Symmetry

(negabs x)

explain423.0ms (4.5%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
246	0	-	-	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
5	0	-	-	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
0	0	-	-	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
0	0	-	-	`(exp.f64 x)`
0	2	(467.1480451406401)	-	`(exp.f64 (neg.f64 x))`
0	0	-	-	`(neg.f64 x)`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`	cancellation	246	0
`/.f64`	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`	o/o	5	0
↳	`(exp.f64 x)`	overflow	5
↳	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`	overflow	5
↳	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`	overflow	5
↳	`(exp.f64 x)`	overflow	5
`exp.f64`	`(exp.f64 (neg.f64 x))`	sensitivity	2	2

Confusion

	Predicted +	Predicted -
+	251	0
-	2	3

Precision

0.9920948616600791

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	251	0	0
-	2	2	1

Precision?

0.984313725490196

Recall?

1.0

Freqs

test

number	freq
0	3
1	253

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Results

206.0ms	480×	1	valid
3.0ms	32×	0	valid

Compiler

Compiled 98 to 30 computations (69.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 96.0ms

ival-exp: 63.0ms (65.3% of total)

backward-pass: 9.0ms (9.3% of total)

ival-div: 7.0ms (7.3% of total)

ival-neg: 6.0ms (6.2% of total)

ival-sub: 6.0ms (6.2% of total)

ival-add: 5.0ms (5.2% of total)

const: 1.0ms (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
▶	9.3%	(/.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)

simplify71.0ms (0.8%)

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)))

localize121.0ms (1.3%)

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	98.1%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	accuracy	11.2%	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

68.0ms	240×	1	valid
1.0ms	16×	0	valid

Compiler

Compiled 35 to 8 computations (77.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-exp: 31.0ms (64% of total)

backward-pass: 6.0ms (12.4% of total)

ival-div: 3.0ms (6.2% of total)

ival-sub: 3.0ms (6.2% of total)

ival-add: 2.0ms (4.1% of total)

ival-neg: 2.0ms (4.1% of total)

const: 0.0ms (0% of total)

series8.0ms (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
2.0ms	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)))

rewrite143.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	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)

simplify133.0ms (1.4%)

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)

prune16.0ms (0.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

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

Accuracy

98.4%

Counts

91 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.3%	(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
	8.4%	(/.f64 (-.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	9.3%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
	96.4%	(.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)))))
▶	96.6%	(.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)))))
▶	96.3%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
▶	96.2%	x
▶	5.9%	#s(literal 3/2 binary64)

Compiler

Compiled 160 to 107 computations (33.1% saved)

simplify25.0ms (0.3%)

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(pow.f64 x #s(literal 3 binary64))
✓	cost-diff	6144	(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
✓	cost-diff	-6272	(+.f64 #s(literal 1 binary64) (*.f64 #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	-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))

Rules

174×	`fma-define`
76×	`associate-r`
51×	`associate-l`
44×	`distribute-lft-in`
41×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	310
1	55	276
2	100	272
3	234	272
4	435	272
5	548	272
6	550	272

Stop Event

1×

saturated

Calls

Call 1

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

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

localize94.0ms (1%)

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(pow.f64 x #s(literal 3 binary64))
✓	accuracy	100.0%	(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
✓	accuracy	100.0%	(pow.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 #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 (*.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)))

Results

64.0ms

256×

valid

Compiler

Compiled 103 to 20 computations (80.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

...c/correct-round.rkt:121:19: 11.0ms (30.5% of total)

ival-mult: 9.0ms (24.9% of total)

ival-pow: 9.0ms (24.9% of total)

ival-add: 3.0ms (8.3% of total)

ival-fma: 3.0ms (8.3% of total)

ival-sub: 1.0ms (2.8% of total)

const: 1.0ms (2.8% of total)

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

series14.0ms (0.2%)

Counts

10 → 58

Calls

Call 1

Inputs
#<alt (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 #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 (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)>
#<alt (pow.f64 x #s(literal 3 binary64))>
#<alt (.f64 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)))))>

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

Calls

30 calls:

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

rewrite173.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

823×	`log1p-expm1-u`
823×	`expm1-log1p-u`
713×	`fma-define`
296×	`fma-neg`
212×	`log1p-undefine`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	235
1	309	205
2	4149	201

Stop Event

1×	node limit

Counts

10 → 345

Calls

Call 1

Inputs
(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 #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))))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(pow.f64 x #s(literal 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)))))

Outputs
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 x x)
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) x))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x))
(.f64 (.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 x #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8/3375 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal 2/15 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4/225 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2/15 binary64)) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8/3375 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64))))
(exp.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64)))
(+.f64 (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64)))
(-.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8/3375 binary64) #s(literal -1/27 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4/225 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/45 binary64) #s(literal 1/9 binary64))))
(/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4/225 binary64) #s(literal -1/9 binary64))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal 1/3 binary64)))
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8/3375 binary64) #s(literal -1/27 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4/225 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/45 binary64) #s(literal 1/9 binary64))))
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4/225 binary64) #s(literal -1/9 binary64)) (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 (*.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))
(pow.f64 (cbrt.f64 (*.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 3 binary64))
(pow.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) #s(literal 2 binary64))
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(pow.f64 (sqrt.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)))
(exp.f64 (log.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64))
(*.f64 x (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) x)
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) (pow.f64 x #s(literal 2 binary64))))
(.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(.f64 (.f64 x (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(sqrt.f64 (pow.f64 x #s(literal 6 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 3 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 3 binary64))))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 1 binary64)))
(+.f64 x (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(+.f64 x (.f64 (.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))) #s(literal 1 binary64)))
(+.f64 (*.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 (exp.f64 (log1p.f64 (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))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.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))) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 (.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))) (.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)))) (.f64 x (.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (.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))) (.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))))) (-.f64 x (.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (.f64 x (fma.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 (.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))) (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 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))))
(/.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) x) (fma.f64 (.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))) (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 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 2 binary64)))) x) (-.f64 #s(literal 1 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 (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) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (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)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (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) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (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)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (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) #s(literal 2 binary64)))
(log.f64 (exp.f64 (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)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (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))))
(cbrt.f64 (pow.f64 (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) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (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 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (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)))
(log1p.f64 (expm1.f64 (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)))
(exp.f64 (log.f64 (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)))
(exp.f64 (*.f64 (log.f64 (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)) #s(literal 1 binary64)))
(fma.f64 x (*.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))) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 x #s(literal 1 binary64) (.f64 (.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))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x)
(fma.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(fma.f64 (*.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))) x x)
(fma.f64 #s(literal 1 binary64) x (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 1 binary64) x (.f64 (.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))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (.f64 (.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))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) (.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)))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) #s(literal 1 binary64)) (.f64 (*.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))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (.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 2 binary64)) (.f64 (cbrt.f64 (*.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)))) x) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (.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))) #s(literal 1 binary64)))
(fma.f64 (.f64 x (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) (.f64 (*.f64 x (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) x) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 (.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))) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.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)))) x)
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) #s(literal 1 binary64)) (.f64 (*.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))) #s(literal 1 binary64)))
(fma.f64 (.f64 (cbrt.f64 (.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)))) (cbrt.f64 (.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))))) (cbrt.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))) x)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (.f64 (.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))) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (.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)))) (sqrt.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))) x)
(fma.f64 (.f64 (sqrt.f64 x) (.f64 x (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64))))) (.f64 (sqrt.f64 x) (.f64 x (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64))))) x)
(fma.f64 (.f64 (.f64 x (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) (sqrt.f64 x)) (.f64 (.f64 x (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) (sqrt.f64 x)) x)
(fma.f64 (*.f64 x (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)) x)
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 (.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 2 binary64))) (cbrt.f64 (*.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)))) x)
(fma.f64 (.f64 x (.f64 x (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64))))) (*.f64 x (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) x)
(fma.f64 (.f64 (.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 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) x)
(fma.f64 (.f64 (.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))) (sqrt.f64 x)) (sqrt.f64 x) x)

simplify202.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

771×	`distribute-lft-in`
759×	`distribute-rgt-in`
407×	`cancel-sign-sub-inv`
361×	`associate-r`
335×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	631	14673
1	1290	14283
2	3575	12205

Stop Event

1×	node limit

Counts

403 → 417

Calls

Call 1

Inputs
(*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 4 binary64)))
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(/.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) x) (fma.f64 (.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))) (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 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 2 binary64)))) x) (-.f64 #s(literal 1 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 (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) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (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)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (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) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (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)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (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) #s(literal 2 binary64)))
(log.f64 (exp.f64 (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)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (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))))
(cbrt.f64 (pow.f64 (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) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (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 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (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)))
(log1p.f64 (expm1.f64 (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)))
(exp.f64 (log.f64 (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)))
(exp.f64 (*.f64 (log.f64 (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)) #s(literal 1 binary64)))
(fma.f64 x (*.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))) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 x #s(literal 1 binary64) (.f64 (.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))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x)
(fma.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(fma.f64 (*.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))) x x)
(fma.f64 #s(literal 1 binary64) x (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 1 binary64) x (.f64 (.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))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (.f64 (.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))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) (.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)))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) #s(literal 1 binary64)) (.f64 (*.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))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (.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 2 binary64)) (.f64 (cbrt.f64 (*.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)))) x) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (.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))) #s(literal 1 binary64)))
(fma.f64 (.f64 x (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) (.f64 (*.f64 x (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) x) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 (.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))) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.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)))) x)
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) #s(literal 1 binary64)) (.f64 (*.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))) #s(literal 1 binary64)))
(fma.f64 (.f64 (cbrt.f64 (.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)))) (cbrt.f64 (.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))))) (cbrt.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))) x)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (.f64 (.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))) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (.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)))) (sqrt.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))) x)
(fma.f64 (.f64 (sqrt.f64 x) (.f64 x (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64))))) (.f64 (sqrt.f64 x) (.f64 x (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64))))) x)
(fma.f64 (.f64 (.f64 x (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) (sqrt.f64 x)) (.f64 (.f64 x (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) (sqrt.f64 x)) x)
(fma.f64 (*.f64 x (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)) x)
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 (.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 2 binary64))) (cbrt.f64 (*.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)))) x)
(fma.f64 (.f64 x (.f64 x (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64))))) (*.f64 x (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) x)
(fma.f64 (.f64 (.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 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) x)
(fma.f64 (.f64 (.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))) (sqrt.f64 x)) (sqrt.f64 x) x)

Outputs
(*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 4 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 2/15 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.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)))))
(.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)))))
(*.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)))))
(.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)))))
(.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)))))
#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))
(.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) (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) (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) (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) (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) (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) (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)) #s(literal 2/15 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) (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) (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) (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) (pow.f64 x #s(literal 2 binary64)))))
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(fma.f64 (*.f64 x (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)) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x)
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 (.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 2 binary64))) (cbrt.f64 (*.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)))) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x)
(fma.f64 (.f64 x (.f64 x (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64))))) (*.f64 x (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x)
(fma.f64 (.f64 (.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 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x)
(fma.f64 (.f64 (.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))) (sqrt.f64 x)) (sqrt.f64 x) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x)

eval58.0ms (0.6%)

Compiler: Compiled 7531 to 1409 computations (81.3% saved)

prune58.0ms (0.6%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	453	4	457
Fresh	0	2	2
Picked	3	2	5
Done	0	1	1
Total	456	9	465

Accuracy

98.4%

Counts

465 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	8.4%	(/.f64 (-.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	9.3%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
▶	96.6%	(+.f64 (*.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)
▶	96.3%	(+.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x)
	96.4%	(.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)))))
▶	96.6%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)))))
▶	96.3%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (*.f64 x x))))
✓	96.2%	x
✓	5.9%	#s(literal 3/2 binary64)

Compiler

Compiled 184 to 126 computations (31.5% saved)

simplify393.0ms (4.2%)

Algorithm

1×	egg-herbie

Localize:

Found 19 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	-12608	(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)))
✓	cost-diff	-6336	(*.f64 x x)
✓	cost-diff	-6336	(.f64 #s(literal 2/15 binary64) (.f64 x x))
	cost-diff	0	(pow.f64 x #s(literal 2 binary64))
✓	cost-diff	-6272	(+.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x)
	cost-diff	0	(pow.f64 x #s(literal 3 binary64))
✓	cost-diff	0	(*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
✓	cost-diff	-12608	(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (.f64 x x)))
✓	cost-diff	-12480	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (*.f64 x x))))
✓	cost-diff	-6336	(*.f64 x x)
✓	cost-diff	-6336	(.f64 #s(literal -1/3 binary64) (.f64 x x))
	cost-diff	0	(pow.f64 x #s(literal 3 binary64))
	cost-diff	0	(pow.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
✓	cost-diff	0	(*.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)))

Rules

1416×	`fma-define`
856×	`unsub-neg`
329×	`fma-neg`
321×	`distribute-lft-in`
229×	`div-sub`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	581
1	92	541
2	165	541
3	365	541
4	974	541
5	2774	541
6	4432	541
7	4818	541
8	5047	541
9	5144	541
10	5207	541
11	6525	541
12	6653	541
13	6665	541
14	6671	541
15	6675	541
16	6675	541
17	6685	541

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (*.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 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
#s(literal 2/15 binary64)
#s(literal -1/3 binary64)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (*.f64 x x))))
x
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (.f64 x x)))
#s(literal 1 binary64)
(.f64 #s(literal -1/3 binary64) (.f64 x x))
#s(literal -1/3 binary64)
(*.f64 x x)
(+.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x)
(*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
#s(literal -1/3 binary64)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)))))
x
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64))))
#s(literal 1 binary64)
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)))
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64))
(.f64 #s(literal 2/15 binary64) (.f64 x x))
#s(literal 2/15 binary64)
(*.f64 x x)
#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 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) x)
(fma.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64)) x))
(*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 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))
x
#s(literal 2 binary64)
#s(literal 2/15 binary64)
#s(literal -1/3 binary64)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64))))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
x
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (.f64 x x)))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 #s(literal -1/3 binary64) (.f64 x x))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64))))
(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)))
#s(literal -1/3 binary64)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)))))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 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 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 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))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64) (fma.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))
#s(literal 1 binary64)
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))
(fma.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))))
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #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) (.f64 x x))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64))
#s(literal 2/15 binary64)
(*.f64 x x)
(pow.f64 x #s(literal 2 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 (2.9%)

Localize:

Found 19 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	98.1%	(/.f64 (-.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	accuracy	11.2%	(-.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #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) (.f64 x x)) #s(literal 1/3 binary64)))))
✓	accuracy	99.8%	(.f64 #s(literal 2/15 binary64) (.f64 x x))
✓	accuracy	99.7%	(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)))
	accuracy	100.0%	(pow.f64 x #s(literal 3 binary64))
✓	accuracy	100.0%	(+.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x)
✓	accuracy	99.8%	(*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (.f64 x x)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (*.f64 x x))))
✓	accuracy	99.7%	(.f64 #s(literal -1/3 binary64) (.f64 x x))
	accuracy	100.0%	(pow.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 (*.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)
✓	accuracy	100.0%	(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
✓	accuracy	99.8%	(*.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)))

Results

203.0ms	240×	1	valid
5.0ms	16×	0	valid

Compiler

Compiled 185 to 31 computations (83.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 136.0ms

ival-mult: 28.0ms (20.6% of total)

...c/correct-round.rkt:121:19: 25.0ms (18.4% of total)

backward-pass: 19.0ms (14% of total)

ival-pow: 17.0ms (12.5% of total)

ival-exp: 14.0ms (10.3% of total)

ival-add: 12.0ms (8.8% of total)

ival-sub: 8.0ms (5.9% of total)

ival-fma: 6.0ms (4.4% of total)

ival-div: 4.0ms (2.9% of total)

const: 1.0ms (0.7% of total)

ival-neg: 1.0ms (0.7% of total)

series26.0ms (0.3%)

Counts

16 → 180

Calls

Call 1

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

Outputs
#<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 2/15 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 2/15 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 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))>
#<alt (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 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 #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 #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 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))))>
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#<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 #s(literal -1/3 binary64)>
#<alt (-.f64 (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))>
#<alt (-.f64 (*.f64 #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 #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))))))>

Calls

48 calls:

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

rewrite65.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

264×	`log1p-expm1-u`
264×	`expm1-log1p-u`
256×	`add-exp-log`
256×	`add-cube-cbrt`
255×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	528
1	611	528

Stop Event

1×	node limit

Counts

16 → 1056

Calls

Call 1

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

Outputs
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -6/7 binary64)
#s(literal -5/7 binary64)
#s(literal -7/15 binary64)
#s(literal -17/45 binary64)
#s(literal -679/2025 binary64)
#s(literal -1/3 binary64)
#s(literal -133/405 binary64)
#s(literal -641/2025 binary64)
#s(literal -13/45 binary64)
#s(literal -11/45 binary64)
#s(literal -5/21 binary64)
#s(literal -1/5 binary64)
#s(literal -79/405 binary64)
#s(literal -7/45 binary64)
#s(literal -1/9 binary64)
#s(literal -7/75 binary64)
#s(literal -49/675 binary64)
#s(literal -2/45 binary64)
#s(literal -1/25 binary64)
#s(literal -26/675 binary64)
#s(literal -1/27 binary64)
#s(literal -2/75 binary64)
#s(literal -2197/91125 binary64)
#s(literal -2/135 binary64)
#s(literal -343/91125 binary64)
#s(literal 0 binary64)
#s(literal 1/19683 binary64)
#s(literal 8/91125 binary64)
#s(literal 1/729 binary64)
#s(literal 4/2025 binary64)
#s(literal 8/3375 binary64)
#s(literal 2/405 binary64)
#s(literal 1/81 binary64)
#s(literal 34/2025 binary64)
#s(literal 4/225 binary64)
#s(literal 49/2025 binary64)
#s(literal 1/27 binary64)
#s(literal 2/45 binary64)
#s(literal 101/2025 binary64)
#s(literal 1/15 binary64)
#s(literal 169/2025 binary64)
#s(literal 343/3375 binary64)
#s(literal 1/9 binary64)
#s(literal 247/2025 binary64)
#s(literal 13117/98415 binary64)
#s(literal 2/15 binary64)
#s(literal 7/45 binary64)
#s(literal 23/135 binary64)
#s(literal 1/5 binary64)
#s(literal 49/225 binary64)
#s(literal 517/2025 binary64)
#s(literal 2/7 binary64)
#s(literal 1/3 binary64)
#s(literal 19/45 binary64)
#s(literal 7/15 binary64)
#s(literal 1/2 binary64)
#s(literal 3/4 binary64)
#s(literal 7/9 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -6/7 binary64)
#s(literal -5/7 binary64)
#s(literal -7/15 binary64)
#s(literal -17/45 binary64)
#s(literal -679/2025 binary64)
#s(literal -1/3 binary64)
#s(literal -133/405 binary64)
#s(literal -641/2025 binary64)
#s(literal -13/45 binary64)
#s(literal -11/45 binary64)
#s(literal -5/21 binary64)
#s(literal -1/5 binary64)
#s(literal -79/405 binary64)
#s(literal -7/45 binary64)
#s(literal -1/9 binary64)
#s(literal -7/75 binary64)
#s(literal -49/675 binary64)
#s(literal -2/45 binary64)
#s(literal -1/25 binary64)
#s(literal -26/675 binary64)
#s(literal -1/27 binary64)
#s(literal -2/75 binary64)
#s(literal -2197/91125 binary64)
#s(literal -2/135 binary64)
#s(literal -343/91125 binary64)
#s(literal 0 binary64)
#s(literal 1/19683 binary64)
#s(literal 8/91125 binary64)
#s(literal 1/729 binary64)
#s(literal 4/2025 binary64)
#s(literal 8/3375 binary64)
#s(literal 2/405 binary64)
#s(literal 1/81 binary64)
#s(literal 34/2025 binary64)
#s(literal 4/225 binary64)
#s(literal 49/2025 binary64)
#s(literal 1/27 binary64)
#s(literal 2/45 binary64)
#s(literal 101/2025 binary64)
#s(literal 1/15 binary64)
#s(literal 169/2025 binary64)
#s(literal 343/3375 binary64)
#s(literal 1/9 binary64)
#s(literal 247/2025 binary64)
#s(literal 13117/98415 binary64)
#s(literal 2/15 binary64)
#s(literal 7/45 binary64)
#s(literal 23/135 binary64)
#s(literal 1/5 binary64)
#s(literal 49/225 binary64)
#s(literal 517/2025 binary64)
#s(literal 2/7 binary64)
#s(literal 1/3 binary64)
#s(literal 19/45 binary64)
#s(literal 7/15 binary64)
#s(literal 1/2 binary64)
#s(literal 3/4 binary64)
#s(literal 7/9 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -6/7 binary64)
#s(literal -5/7 binary64)
#s(literal -7/15 binary64)
#s(literal -17/45 binary64)
#s(literal -679/2025 binary64)
#s(literal -1/3 binary64)
#s(literal -133/405 binary64)
#s(literal -641/2025 binary64)
#s(literal -13/45 binary64)
#s(literal -11/45 binary64)
#s(literal -5/21 binary64)
#s(literal -1/5 binary64)
#s(literal -79/405 binary64)
#s(literal -7/45 binary64)
#s(literal -1/9 binary64)
#s(literal -7/75 binary64)
#s(literal -49/675 binary64)
#s(literal -2/45 binary64)
#s(literal -1/25 binary64)
#s(literal -26/675 binary64)
#s(literal -1/27 binary64)
#s(literal -2/75 binary64)
#s(literal -2197/91125 binary64)
#s(literal -2/135 binary64)
#s(literal -343/91125 binary64)
#s(literal 0 binary64)
#s(literal 1/19683 binary64)
#s(literal 8/91125 binary64)
#s(literal 1/729 binary64)
#s(literal 4/2025 binary64)
#s(literal 8/3375 binary64)
#s(literal 2/405 binary64)
#s(literal 1/81 binary64)
#s(literal 34/2025 binary64)
#s(literal 4/225 binary64)
#s(literal 49/2025 binary64)
#s(literal 1/27 binary64)
#s(literal 2/45 binary64)
#s(literal 101/2025 binary64)
#s(literal 1/15 binary64)
#s(literal 169/2025 binary64)
#s(literal 343/3375 binary64)
#s(literal 1/9 binary64)
#s(literal 247/2025 binary64)
#s(literal 13117/98415 binary64)
#s(literal 2/15 binary64)
#s(literal 7/45 binary64)
#s(literal 23/135 binary64)
#s(literal 1/5 binary64)
#s(literal 49/225 binary64)
#s(literal 517/2025 binary64)
#s(literal 2/7 binary64)
#s(literal 1/3 binary64)
#s(literal 19/45 binary64)
#s(literal 7/15 binary64)
#s(literal 1/2 binary64)
#s(literal 3/4 binary64)
#s(literal 7/9 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -6/7 binary64)
#s(literal -5/7 binary64)
#s(literal -7/15 binary64)
#s(literal -17/45 binary64)
#s(literal -679/2025 binary64)
#s(literal -1/3 binary64)
#s(literal -133/405 binary64)
#s(literal -641/2025 binary64)
#s(literal -13/45 binary64)
#s(literal -11/45 binary64)
#s(literal -5/21 binary64)
#s(literal -1/5 binary64)
#s(literal -79/405 binary64)
#s(literal -7/45 binary64)
#s(literal -1/9 binary64)
#s(literal -7/75 binary64)
#s(literal -49/675 binary64)
#s(literal -2/45 binary64)
#s(literal -1/25 binary64)
#s(literal -26/675 binary64)
#s(literal -1/27 binary64)
#s(literal -2/75 binary64)
#s(literal -2197/91125 binary64)
#s(literal -2/135 binary64)
#s(literal -343/91125 binary64)
#s(literal 0 binary64)
#s(literal 1/19683 binary64)
#s(literal 8/91125 binary64)
#s(literal 1/729 binary64)
#s(literal 4/2025 binary64)
#s(literal 8/3375 binary64)
#s(literal 2/405 binary64)
#s(literal 1/81 binary64)
#s(literal 34/2025 binary64)
#s(literal 4/225 binary64)
#s(literal 49/2025 binary64)
#s(literal 1/27 binary64)
#s(literal 2/45 binary64)
#s(literal 101/2025 binary64)
#s(literal 1/15 binary64)
#s(literal 169/2025 binary64)
#s(literal 343/3375 binary64)
#s(literal 1/9 binary64)
#s(literal 247/2025 binary64)
#s(literal 13117/98415 binary64)
#s(literal 2/15 binary64)
#s(literal 7/45 binary64)
#s(literal 23/135 binary64)
#s(literal 1/5 binary64)
#s(literal 49/225 binary64)
#s(literal 517/2025 binary64)
#s(literal 2/7 binary64)
#s(literal 1/3 binary64)
#s(literal 19/45 binary64)
#s(literal 7/15 binary64)
#s(literal 1/2 binary64)
#s(literal 3/4 binary64)
#s(literal 7/9 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -6/7 binary64)
#s(literal -5/7 binary64)
#s(literal -7/15 binary64)
#s(literal -17/45 binary64)
#s(literal -679/2025 binary64)
#s(literal -1/3 binary64)
#s(literal -133/405 binary64)
#s(literal -641/2025 binary64)
#s(literal -13/45 binary64)
#s(literal -11/45 binary64)
#s(literal -5/21 binary64)
#s(literal -1/5 binary64)
#s(literal -79/405 binary64)
#s(literal -7/45 binary64)
#s(literal -1/9 binary64)
#s(literal -7/75 binary64)
#s(literal -49/675 binary64)
#s(literal -2/45 binary64)
#s(literal -1/25 binary64)
#s(literal -26/675 binary64)
#s(literal -1/27 binary64)
#s(literal -2/75 binary64)
#s(literal -2197/91125 binary64)
#s(literal -2/135 binary64)
#s(literal -343/91125 binary64)
#s(literal 0 binary64)
#s(literal 1/19683 binary64)
#s(literal 8/91125 binary64)
#s(literal 1/729 binary64)
#s(literal 4/2025 binary64)
#s(literal 8/3375 binary64)
#s(literal 2/405 binary64)
#s(literal 1/81 binary64)
#s(literal 34/2025 binary64)
#s(literal 4/225 binary64)
#s(literal 49/2025 binary64)
#s(literal 1/27 binary64)
#s(literal 2/45 binary64)
#s(literal 101/2025 binary64)
#s(literal 1/15 binary64)
#s(literal 169/2025 binary64)
#s(literal 343/3375 binary64)
#s(literal 1/9 binary64)
#s(literal 247/2025 binary64)
#s(literal 13117/98415 binary64)
#s(literal 2/15 binary64)
#s(literal 7/45 binary64)
#s(literal 23/135 binary64)
#s(literal 1/5 binary64)
#s(literal 49/225 binary64)
#s(literal 517/2025 binary64)
#s(literal 2/7 binary64)
#s(literal 1/3 binary64)
#s(literal 19/45 binary64)
#s(literal 7/15 binary64)
#s(literal 1/2 binary64)
#s(literal 3/4 binary64)
#s(literal 7/9 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -6/7 binary64)
#s(literal -5/7 binary64)
#s(literal -7/15 binary64)
#s(literal -17/45 binary64)
#s(literal -679/2025 binary64)
#s(literal -1/3 binary64)
#s(literal -133/405 binary64)
#s(literal -641/2025 binary64)
#s(literal -13/45 binary64)
#s(literal -11/45 binary64)
#s(literal -5/21 binary64)
#s(literal -1/5 binary64)
#s(literal -79/405 binary64)
#s(literal -7/45 binary64)
#s(literal -1/9 binary64)
#s(literal -7/75 binary64)
#s(literal -49/675 binary64)
#s(literal -2/45 binary64)
#s(literal -1/25 binary64)
#s(literal -26/675 binary64)
#s(literal -1/27 binary64)
#s(literal -2/75 binary64)
#s(literal -2197/91125 binary64)
#s(literal -2/135 binary64)
#s(literal -343/91125 binary64)
#s(literal 0 binary64)
#s(literal 1/19683 binary64)
#s(literal 8/91125 binary64)
#s(literal 1/729 binary64)
#s(literal 4/2025 binary64)
#s(literal 8/3375 binary64)
#s(literal 2/405 binary64)
#s(literal 1/81 binary64)
#s(literal 34/2025 binary64)
#s(literal 4/225 binary64)
#s(literal 49/2025 binary64)
#s(literal 1/27 binary64)
#s(literal 2/45 binary64)
#s(literal 101/2025 binary64)
#s(literal 1/15 binary64)
#s(literal 169/2025 binary64)
#s(literal 343/3375 binary64)
#s(literal 1/9 binary64)
#s(literal 247/2025 binary64)
#s(literal 13117/98415 binary64)
#s(literal 2/15 binary64)
#s(literal 7/45 binary64)
#s(literal 23/135 binary64)
#s(literal 1/5 binary64)
#s(literal 49/225 binary64)
#s(literal 517/2025 binary64)
#s(literal 2/7 binary64)
#s(literal 1/3 binary64)
#s(literal 19/45 binary64)
#s(literal 7/15 binary64)
#s(literal 1/2 binary64)
#s(literal 3/4 binary64)
#s(literal 7/9 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -6/7 binary64)
#s(literal -5/7 binary64)
#s(literal -7/15 binary64)
#s(literal -17/45 binary64)
#s(literal -679/2025 binary64)
#s(literal -1/3 binary64)
#s(literal -133/405 binary64)
#s(literal -641/2025 binary64)
#s(literal -13/45 binary64)
#s(literal -11/45 binary64)
#s(literal -5/21 binary64)
#s(literal -1/5 binary64)
#s(literal -79/405 binary64)
#s(literal -7/45 binary64)
#s(literal -1/9 binary64)
#s(literal -7/75 binary64)
#s(literal -49/675 binary64)
#s(literal -2/45 binary64)
#s(literal -1/25 binary64)
#s(literal -26/675 binary64)
#s(literal -1/27 binary64)
#s(literal -2/75 binary64)
#s(literal -2197/91125 binary64)
#s(literal -2/135 binary64)
#s(literal -343/91125 binary64)
#s(literal 0 binary64)
#s(literal 1/19683 binary64)
#s(literal 8/91125 binary64)
#s(literal 1/729 binary64)
#s(literal 4/2025 binary64)
#s(literal 8/3375 binary64)
#s(literal 2/405 binary64)
#s(literal 1/81 binary64)
#s(literal 34/2025 binary64)
#s(literal 4/225 binary64)
#s(literal 49/2025 binary64)
#s(literal 1/27 binary64)
#s(literal 2/45 binary64)
#s(literal 101/2025 binary64)
#s(literal 1/15 binary64)
#s(literal 169/2025 binary64)
#s(literal 343/3375 binary64)
#s(literal 1/9 binary64)
#s(literal 247/2025 binary64)
#s(literal 13117/98415 binary64)
#s(literal 2/15 binary64)
#s(literal 7/45 binary64)
#s(literal 23/135 binary64)
#s(literal 1/5 binary64)
#s(literal 49/225 binary64)
#s(literal 517/2025 binary64)
#s(literal 2/7 binary64)
#s(literal 1/3 binary64)
#s(literal 19/45 binary64)
#s(literal 7/15 binary64)
#s(literal 1/2 binary64)
#s(literal 3/4 binary64)
#s(literal 7/9 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -6/7 binary64)
#s(literal -5/7 binary64)
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simplify184.0ms (2%)

Algorithm

1×	egg-herbie

Rules

624×	`unsub-neg`
411×	`distribute-neg-out`
384×	`distribute-lft-neg-in`
312×	`distribute-rgt-neg-in`
301×	`fma-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	189	5970
1	417	5656
2	993	5536
3	2851	5404
4	5367	5380

Stop Event

1×	node limit

Counts

1236 → 144

Calls

Call 1

Inputs
(*.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 2/15 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 2/15 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 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 5 binary64)))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 2/15 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 2/15 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 2/15 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
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#s(literal 8/3375 binary64)
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#s(literal 34/2025 binary64)
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#s(literal 1/27 binary64)
#s(literal 2/45 binary64)
#s(literal 101/2025 binary64)
#s(literal 1/15 binary64)
#s(literal 169/2025 binary64)
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#s(literal -2/75 binary64)
#s(literal -2197/91125 binary64)
#s(literal -2/135 binary64)
#s(literal -343/91125 binary64)
#s(literal 0 binary64)
#s(literal 1/19683 binary64)
#s(literal 8/91125 binary64)
#s(literal 1/729 binary64)
#s(literal 4/2025 binary64)
#s(literal 8/3375 binary64)
#s(literal 2/405 binary64)
#s(literal 1/81 binary64)
#s(literal 34/2025 binary64)
#s(literal 4/225 binary64)
#s(literal 49/2025 binary64)
#s(literal 1/27 binary64)
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#s(literal 517/2025 binary64)
#s(literal 2/7 binary64)
#s(literal 1/3 binary64)
#s(literal 19/45 binary64)
#s(literal 7/15 binary64)
#s(literal 1/2 binary64)
#s(literal 3/4 binary64)
#s(literal 7/9 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -6/7 binary64)
#s(literal -5/7 binary64)
#s(literal -7/15 binary64)
#s(literal -17/45 binary64)
#s(literal -679/2025 binary64)
#s(literal -1/3 binary64)
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#s(literal -641/2025 binary64)
#s(literal -13/45 binary64)
#s(literal -11/45 binary64)
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#s(literal -343/91125 binary64)
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#s(literal 1/19683 binary64)
#s(literal 8/91125 binary64)
#s(literal 1/729 binary64)
#s(literal 4/2025 binary64)
#s(literal 8/3375 binary64)
#s(literal 2/405 binary64)
#s(literal 1/81 binary64)
#s(literal 34/2025 binary64)
#s(literal 4/225 binary64)
#s(literal 49/2025 binary64)
#s(literal 1/27 binary64)
#s(literal 2/45 binary64)
#s(literal 101/2025 binary64)
#s(literal 1/15 binary64)
#s(literal 169/2025 binary64)
#s(literal 343/3375 binary64)
#s(literal 1/9 binary64)
#s(literal 247/2025 binary64)
#s(literal 13117/98415 binary64)
#s(literal 2/15 binary64)
#s(literal 7/45 binary64)
#s(literal 23/135 binary64)
#s(literal 1/5 binary64)
#s(literal 49/225 binary64)
#s(literal 517/2025 binary64)
#s(literal 2/7 binary64)
#s(literal 1/3 binary64)
#s(literal 19/45 binary64)
#s(literal 7/15 binary64)
#s(literal 1/2 binary64)
#s(literal 3/4 binary64)
#s(literal 7/9 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -6/7 binary64)
#s(literal -5/7 binary64)
#s(literal -7/15 binary64)
#s(literal -17/45 binary64)
#s(literal -679/2025 binary64)
#s(literal -1/3 binary64)
#s(literal -133/405 binary64)
#s(literal -641/2025 binary64)
#s(literal -13/45 binary64)
#s(literal -11/45 binary64)
#s(literal -5/21 binary64)
#s(literal -1/5 binary64)
#s(literal -79/405 binary64)
#s(literal -7/45 binary64)
#s(literal -1/9 binary64)
#s(literal -7/75 binary64)
#s(literal -49/675 binary64)
#s(literal -2/45 binary64)
#s(literal -1/25 binary64)
#s(literal -26/675 binary64)
#s(literal -1/27 binary64)
#s(literal -2/75 binary64)
#s(literal -2197/91125 binary64)
#s(literal -2/135 binary64)
#s(literal -343/91125 binary64)
#s(literal 0 binary64)
#s(literal 1/19683 binary64)
#s(literal 8/91125 binary64)
#s(literal 1/729 binary64)
#s(literal 4/2025 binary64)
#s(literal 8/3375 binary64)
#s(literal 2/405 binary64)
#s(literal 1/81 binary64)
#s(literal 34/2025 binary64)
#s(literal 4/225 binary64)
#s(literal 49/2025 binary64)
#s(literal 1/27 binary64)
#s(literal 2/45 binary64)
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#s(literal 1/15 binary64)
#s(literal 169/2025 binary64)
#s(literal 343/3375 binary64)
#s(literal 1/9 binary64)
#s(literal 247/2025 binary64)
#s(literal 13117/98415 binary64)
#s(literal 2/15 binary64)
#s(literal 7/45 binary64)
#s(literal 23/135 binary64)
#s(literal 1/5 binary64)
#s(literal 49/225 binary64)
#s(literal 517/2025 binary64)
#s(literal 2/7 binary64)
#s(literal 1/3 binary64)
#s(literal 19/45 binary64)
#s(literal 7/15 binary64)
#s(literal 1/2 binary64)
#s(literal 3/4 binary64)
#s(literal 7/9 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -6/7 binary64)
#s(literal -5/7 binary64)
#s(literal -7/15 binary64)
#s(literal -17/45 binary64)
#s(literal -679/2025 binary64)
#s(literal -1/3 binary64)
#s(literal -133/405 binary64)
#s(literal -641/2025 binary64)
#s(literal -13/45 binary64)
#s(literal -11/45 binary64)
#s(literal -5/21 binary64)
#s(literal -1/5 binary64)
#s(literal -79/405 binary64)
#s(literal -7/45 binary64)
#s(literal -1/9 binary64)
#s(literal -7/75 binary64)
#s(literal -49/675 binary64)
#s(literal -2/45 binary64)
#s(literal -1/25 binary64)
#s(literal -26/675 binary64)
#s(literal -1/27 binary64)
#s(literal -2/75 binary64)
#s(literal -2197/91125 binary64)
#s(literal -2/135 binary64)
#s(literal -343/91125 binary64)
#s(literal 0 binary64)
#s(literal 1/19683 binary64)
#s(literal 8/91125 binary64)
#s(literal 1/729 binary64)
#s(literal 4/2025 binary64)
#s(literal 8/3375 binary64)
#s(literal 2/405 binary64)
#s(literal 1/81 binary64)
#s(literal 34/2025 binary64)
#s(literal 4/225 binary64)
#s(literal 49/2025 binary64)
#s(literal 1/27 binary64)
#s(literal 2/45 binary64)
#s(literal 101/2025 binary64)
#s(literal 1/15 binary64)
#s(literal 169/2025 binary64)
#s(literal 343/3375 binary64)
#s(literal 1/9 binary64)
#s(literal 247/2025 binary64)
#s(literal 13117/98415 binary64)
#s(literal 2/15 binary64)
#s(literal 7/45 binary64)
#s(literal 23/135 binary64)
#s(literal 1/5 binary64)
#s(literal 49/225 binary64)
#s(literal 517/2025 binary64)
#s(literal 2/7 binary64)
#s(literal 1/3 binary64)
#s(literal 19/45 binary64)
#s(literal 7/15 binary64)
#s(literal 1/2 binary64)
#s(literal 3/4 binary64)
#s(literal 7/9 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)

Outputs
(*.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 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 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 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 3 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 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 3 binary64)) (fma.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 5 binary64)))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 2/15 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 5 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 5 binary64)) (-.f64 #s(literal 2/15 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 5 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 5 binary64)) (-.f64 #s(literal 2/15 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2/15 binary64))))
(*.f64 (pow.f64 x #s(literal 5 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 5 binary64)) (+.f64 #s(literal 2/15 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 5 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2/15 binary64))))
(*.f64 (pow.f64 x #s(literal 5 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 5 binary64)) (+.f64 #s(literal 2/15 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 5 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2/15 binary64))))
(*.f64 (pow.f64 x #s(literal 5 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 5 binary64)) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 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))
(fma.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))
(fma.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))
(fma.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64))
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (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))))))
(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)) (-.f64 #s(literal 2/15 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (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)) (-.f64 #s(literal 2/15 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (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 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64)))
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#s(literal 13117/98415 binary64)
#s(literal 2/15 binary64)
#s(literal 7/45 binary64)
#s(literal 23/135 binary64)
#s(literal 1/5 binary64)
#s(literal 49/225 binary64)
#s(literal 517/2025 binary64)
#s(literal 2/7 binary64)
#s(literal 1/3 binary64)
#s(literal 19/45 binary64)
#s(literal 7/15 binary64)
#s(literal 1/2 binary64)
#s(literal 3/4 binary64)
#s(literal 7/9 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -6/7 binary64)
#s(literal -5/7 binary64)
#s(literal -7/15 binary64)
#s(literal -17/45 binary64)
#s(literal -679/2025 binary64)
#s(literal -1/3 binary64)
#s(literal -133/405 binary64)
#s(literal -641/2025 binary64)
#s(literal -13/45 binary64)
#s(literal -11/45 binary64)
#s(literal -5/21 binary64)
#s(literal -1/5 binary64)
#s(literal -79/405 binary64)
#s(literal -7/45 binary64)
#s(literal -1/9 binary64)
#s(literal -7/75 binary64)
#s(literal -49/675 binary64)
#s(literal -2/45 binary64)
#s(literal -1/25 binary64)
#s(literal -26/675 binary64)
#s(literal -1/27 binary64)
#s(literal -2/75 binary64)
#s(literal -2197/91125 binary64)
#s(literal -2/135 binary64)
#s(literal -343/91125 binary64)
#s(literal 0 binary64)
#s(literal 1/19683 binary64)
#s(literal 8/91125 binary64)
#s(literal 1/729 binary64)
#s(literal 4/2025 binary64)
#s(literal 8/3375 binary64)
#s(literal 2/405 binary64)
#s(literal 1/81 binary64)
#s(literal 34/2025 binary64)
#s(literal 4/225 binary64)
#s(literal 49/2025 binary64)
#s(literal 1/27 binary64)
#s(literal 2/45 binary64)
#s(literal 101/2025 binary64)
#s(literal 1/15 binary64)
#s(literal 169/2025 binary64)
#s(literal 343/3375 binary64)
#s(literal 1/9 binary64)
#s(literal 247/2025 binary64)
#s(literal 13117/98415 binary64)
#s(literal 2/15 binary64)
#s(literal 7/45 binary64)
#s(literal 23/135 binary64)
#s(literal 1/5 binary64)
#s(literal 49/225 binary64)
#s(literal 517/2025 binary64)
#s(literal 2/7 binary64)
#s(literal 1/3 binary64)
#s(literal 19/45 binary64)
#s(literal 7/15 binary64)
#s(literal 1/2 binary64)
#s(literal 3/4 binary64)
#s(literal 7/9 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)

eval33.0ms (0.3%)

Compiler: Compiled 3227 to 789 computations (75.6% saved)

prune54.0ms (0.6%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	261	3	264
Fresh	0	1	1
Picked	4	1	5
Done	0	3	3
Total	265	8	273

Accuracy

98.4%

Counts

273 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	9.3%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
▶	96.5%	(/.f64 (+.f64 x (expm1.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
▶	96.6%	(+.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) x)
▶	96.4%	(.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)))))
▶	96.6%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)))))
✓	96.3%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (*.f64 x x))))
✓	96.2%	x
✓	5.9%	#s(literal 3/2 binary64)

Compiler

Compiled 91 to 58 computations (36.3% saved)

simplify110.0ms (1.2%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
✓	cost-diff	0	(expm1.f64 x)
✓	cost-diff	0	(+.f64 x (expm1.f64 x))
✓	cost-diff	0	(/.f64 (+.f64 x (expm1.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
	cost-diff	-6336	(*.f64 x x)
✓	cost-diff	-6336	(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
✓	cost-diff	-6336	(.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))
	cost-diff	0	(pow.f64 x #s(literal 3 binary64))
✓	cost-diff	-6272	(+.f64 #s(literal 2/15 binary64) (*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64))))
✓	cost-diff	-6272	(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64)))))
✓	cost-diff	0	(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64)))
	cost-diff	0	(pow.f64 x #s(literal 2 binary64))
✓	cost-diff	-18944	(.f64 (.f64 x x) (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)))
✓	cost-diff	-12608	(-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64))
✓	cost-diff	-6336	(.f64 #s(literal 2/15 binary64) (.f64 x x))
	cost-diff	-6336	(*.f64 x x)

Rules

1162×	`fma-define`
496×	`neg-mul-1`
465×	`neg-sub0`
379×	`unsub-neg`
374×	`distribute-lft-neg-out`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	39	742
1	98	684
2	207	680
3	582	680
4	1227	680
5	2251	680
6	3381	680
7	6433	680
8	7916	680

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)))))
x
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64))))
#s(literal 1 binary64)
(.f64 (.f64 x x) (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)))
(*.f64 x x)
(-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64))
(.f64 #s(literal 2/15 binary64) (.f64 x x))
#s(literal 2/15 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)))))
x
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/3 binary64))))
#s(literal 1 binary64)
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/3 binary64)))
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/3 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 2/15 binary64) (*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(literal 2/15 binary64)
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal -17/315 binary64)
#s(literal 1/3 binary64)
(+.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
(*.f64 x x)
x
#s(literal 2/15 binary64)
#s(literal -1/3 binary64)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(/.f64 (+.f64 x (expm1.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 x (expm1.f64 x))
x
(expm1.f64 x)
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
(exp.f64 (neg.f64 x))
(neg.f64 x)

Outputs
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(fma.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x))
x
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 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 (.f64 x x) (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
(-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #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) (.f64 x x))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64))
#s(literal 2/15 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 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64))) #s(literal -1/3 binary64)))))
(+.f64 x (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (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)
(fma.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/3 binary64)) x))
(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)) (fma.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 7 binary64)) x))
x
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/3 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64))) #s(literal -1/3 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) (fma.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/3 binary64))) #s(literal 1 binary64))
(fma.f64 (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)) (fma.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))
#s(literal 1 binary64)
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64))) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) (fma.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/3 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 6 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 4 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 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/3 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64))) #s(literal -1/3 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) (fma.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/3 binary64)))
(fma.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) (*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 4 binary64))))
(+.f64 #s(literal 2/15 binary64) (*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 2/15 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64))
#s(literal 2/15 binary64)
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64))
#s(literal -17/315 binary64)
#s(literal 1/3 binary64)
(+.f64 (.f64 (fma.f64 (.f64 x x) #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)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(fma.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (*.f64 x x) #s(literal 2/15 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 x x)
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2/15 binary64)
#s(literal -1/3 binary64)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(/.f64 (+.f64 x (expm1.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 x (expm1.f64 x))
x
(expm1.f64 x)
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
(exp.f64 (neg.f64 x))
(neg.f64 x)

localize176.0ms (1.9%)

Localize:

Found 16 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	100.0%	(+.f64 x (expm1.f64 x))
✓	accuracy	98.1%	(/.f64 (+.f64 x (expm1.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(+.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) x)
✓	accuracy	100.0%	(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
✓	accuracy	99.8%	(.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))
✓	accuracy	100.0%	(+.f64 #s(literal 2/15 binary64) (*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64))))
✓	accuracy	99.8%	(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64)))))
✓	accuracy	99.7%	(.f64 (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)))
✓	accuracy	99.7%	(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64)))
✓	accuracy	100.0%	(-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)))))
✓	accuracy	99.8%	(.f64 #s(literal 2/15 binary64) (.f64 x x))
✓	accuracy	99.7%	(.f64 (.f64 x x) (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)))

Results

123.0ms

256×

valid

Compiler

Compiled 231 to 34 computations (85.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 79.0ms

ival-pow: 23.0ms (29% of total)

ival-mult: 18.0ms (22.7% of total)

...c/correct-round.rkt:121:19: 16.0ms (20.2% of total)

ival-add: 8.0ms (10.1% of total)

ival-exp: 3.0ms (3.8% of total)

ival-fma: 3.0ms (3.8% of total)

ival-sub: 3.0ms (3.8% of total)

ival-div: 2.0ms (2.5% of total)

ival-expm1: 2.0ms (2.5% of total)

const: 1.0ms (1.3% of total)

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

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

series126.0ms (1.3%)

Counts

14 → 148

Calls

Call 1

Inputs
#<alt (.f64 #s(literal 2/15 binary64) (.f64 x x))>
#<alt (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64))>
#<alt (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)))>
#<alt (*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 2/15 binary64) (*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))>
#<alt (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))>
#<alt (/.f64 (+.f64 x (expm1.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))>
#<alt (+.f64 x (expm1.f64 x))>
#<alt (expm1.f64 x)>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/3 binary64)))>
#<alt (+.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) x)>

Outputs
#<alt (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt #s(literal -1/3 binary64)>
#<alt (-.f64 (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))>
#<alt (-.f64 (*.f64 #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 #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 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))>
#<alt (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 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 (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 17/315 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 17/315 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 17/315 binary64)))>
#<alt (*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 17/315 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 17/315 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 17/315 binary64)))>
#<alt #s(literal 2/15 binary64)>
#<alt (*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 17/315 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 17/315 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 17/315 binary64)))>
#<alt (*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 17/315 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 17/315 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 17/315 binary64)))>
#<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 2/15 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 2/15 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 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))>
#<alt (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 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 #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 #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 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)))) #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)))) #s(literal 2/15 binary64))))>
#<alt #s(literal -1/3 binary64)>
#<alt (-.f64 (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))>
#<alt (-.f64 (*.f64 #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 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 2/15 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 2/15 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 2/15 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 2/15 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 2/15 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 2/15 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 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 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 (-.f64 (exp.f64 x) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 x) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 x) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 x) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 x) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 x) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 x) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 x) #s(literal 1 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 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))))>
#<alt (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 2/15 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2/15 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))))>
#<alt (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))>
#<alt (*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 6 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 17/315 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 6 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 17/315 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt 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 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))))>
#<alt (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 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)))))))>

Calls

42 calls:

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

rewrite62.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

255×	`log1p-expm1-u`
254×	`expm1-log1p-u`
246×	`add-exp-log`
246×	`add-log-exp`
246×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	322
1	612	322

Stop Event

1×	node limit

Counts

14 → 139

Calls

Call 1

Inputs
(.f64 #s(literal 2/15 binary64) (.f64 x x))
(-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64))
(.f64 (.f64 x x) (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)))
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 2/15 binary64) (*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64))))
(.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
(/.f64 (+.f64 x (expm1.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 x (expm1.f64 x))
(expm1.f64 x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/3 binary64)))
(+.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) x)

Outputs
#s(literal -2/75 binary64)
#s(literal 512/38443359375 binary64)
#s(literal 64/11390625 binary64)
#s(literal 16/50625 binary64)
#s(literal 8/3375 binary64)
#s(literal 4/225 binary64)
#s(literal 2/15 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/5 binary64)
#s(literal -1/25 binary64)
#s(literal 0 binary64)
#s(literal 1/5 binary64)
#s(literal 1/2 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/5 binary64)
#s(literal -1/25 binary64)
#s(literal 0 binary64)
#s(literal 1/5 binary64)
#s(literal 1/2 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal -17/315 binary64)
#s(literal -4913/31255875 binary64)
#s(literal 289/99225 binary64)
#s(literal 5/63 binary64)
#s(literal 5/63 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/5 binary64)
#s(literal -1/25 binary64)
#s(literal 0 binary64)
#s(literal 1/5 binary64)
#s(literal 1/2 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/5 binary64)
#s(literal -1/25 binary64)
#s(literal 0 binary64)
#s(literal 1/5 binary64)
#s(literal 1/2 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/5 binary64)
#s(literal -1/25 binary64)
#s(literal 0 binary64)
#s(literal 1/5 binary64)
#s(literal 1/2 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/5 binary64)
#s(literal -1/25 binary64)
#s(literal 0 binary64)
#s(literal 1/5 binary64)
#s(literal 1/2 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/5 binary64)
#s(literal -1/25 binary64)
#s(literal 0 binary64)
#s(literal 1/5 binary64)
#s(literal 1/2 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/5 binary64)
#s(literal -1/25 binary64)
#s(literal 0 binary64)
#s(literal 1/5 binary64)
#s(literal 1/2 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal -16/63 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/5 binary64)
#s(literal -1/25 binary64)
#s(literal 0 binary64)
#s(literal 1/5 binary64)
#s(literal 1/2 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)

simplify171.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

780×	`fma-neg`
621×	`distribute-lft-in`
588×	`distribute-rgt-in`
328×	`fma-define`
285×	`times-frac`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	159	4837
1	399	4679
2	971	4655
3	2767	4409
4	6991	4397

Stop Event

1×	node limit

Counts

287 → 125

Calls

Call 1

Inputs
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.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 (*.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 #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)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #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 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))))))
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 4 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 17/315 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 17/315 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 17/315 binary64)))
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 4 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 17/315 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 17/315 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 17/315 binary64)))
#s(literal 2/15 binary64)
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 17/315 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 17/315 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 17/315 binary64)))
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 17/315 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 17/315 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 17/315 binary64)))
(*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(.f64 (pow.f64 x #s(literal 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 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 3 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 5 binary64)))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 2/15 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 2/15 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #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 5 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2/15 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2/15 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2/15 binary64))))
#s(literal -1/3 binary64)
(-.f64 (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))
(-.f64 (*.f64 #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 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 2/15 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 2/15 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 2/15 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 2/15 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 2/15 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 2/15 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 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))))
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)))))))
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(-.f64 (exp.f64 x) #s(literal 1 binary64))
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #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 #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 5 binary64)))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 2/15 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2/15 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 6 binary64)))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 17/315 binary64)))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 6 binary64)))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 17/315 binary64)))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))))))
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 #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 5 binary64)))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 2/15 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2/15 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))))
#s(literal -2/75 binary64)
#s(literal 512/38443359375 binary64)
#s(literal 64/11390625 binary64)
#s(literal 16/50625 binary64)
#s(literal 8/3375 binary64)
#s(literal 4/225 binary64)
#s(literal 2/15 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/5 binary64)
#s(literal -1/25 binary64)
#s(literal 0 binary64)
#s(literal 1/5 binary64)
#s(literal 1/2 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/5 binary64)
#s(literal -1/25 binary64)
#s(literal 0 binary64)
#s(literal 1/5 binary64)
#s(literal 1/2 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal -17/315 binary64)
#s(literal -4913/31255875 binary64)
#s(literal 289/99225 binary64)
#s(literal 5/63 binary64)
#s(literal 5/63 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/5 binary64)
#s(literal -1/25 binary64)
#s(literal 0 binary64)
#s(literal 1/5 binary64)
#s(literal 1/2 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/5 binary64)
#s(literal -1/25 binary64)
#s(literal 0 binary64)
#s(literal 1/5 binary64)
#s(literal 1/2 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/5 binary64)
#s(literal -1/25 binary64)
#s(literal 0 binary64)
#s(literal 1/5 binary64)
#s(literal 1/2 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/5 binary64)
#s(literal -1/25 binary64)
#s(literal 0 binary64)
#s(literal 1/5 binary64)
#s(literal 1/2 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/5 binary64)
#s(literal -1/25 binary64)
#s(literal 0 binary64)
#s(literal 1/5 binary64)
#s(literal 1/2 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/5 binary64)
#s(literal -1/25 binary64)
#s(literal 0 binary64)
#s(literal 1/5 binary64)
#s(literal 1/2 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal -16/63 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/5 binary64)
#s(literal -1/25 binary64)
#s(literal 0 binary64)
#s(literal 1/5 binary64)
#s(literal 1/2 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)

Outputs
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.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))
(fma.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))
(fma.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))
(fma.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)))
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eval36.0ms (0.4%)

Compiler: Compiled 4058 to 1001 computations (75.3% saved)

prune39.0ms (0.4%)

Pruning

11 alts after pruning (4 fresh and 7 done)

	Pruned	Kept	Total
New	230	4	234
Fresh	0	0	0
Picked	1	3	4
Done	0	4	4
Total	231	11	242

Accuracy

98.4%

Counts

242 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	9.3%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	96.5%	(/.f64 (+.f64 x (expm1.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	96.6%	(+.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) x)
	96.4%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal -17/315 binary64) (*.f64 x x)))) #s(literal 1/3 binary64)))))
	96.6%	(.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) #s(literal -4913/31255875 binary64))) #s(literal 1/3 binary64)))))
✓	96.6%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)))))
	96.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) (-.f64 #s(literal 8/3375 binary64) #s(literal 1/3 binary64)))))
	96.3%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) (-.f64 #s(literal 512/38443359375 binary64) #s(literal 1/3 binary64)))))
✓	96.3%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (*.f64 x x))))
✓	96.2%	x
✓	5.9%	#s(literal 3/2 binary64)

Compiler

Compiled 354 to 173 computations (51.1% saved)

regimes11.0ms (0.1%)

Counts

19 → 1

Calls

Call 1

Inputs
#s(literal 3/2 binary64)
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) (-.f64 #s(literal 512/38443359375 binary64) #s(literal 1/3 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) (-.f64 #s(literal 8/3375 binary64) #s(literal 1/3 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)))))
(+.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)))))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(+.f64 (.f64 (fma.f64 (.f64 x x) #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 #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) #s(literal -4913/31255875 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) (*.f64 x x)))) #s(literal 1/3 binary64)))))
(/.f64 (+.f64 x (expm1.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 (*.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 (-.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal -17/315 binary64) (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 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) #s(literal -4913/31255875 binary64))) #s(literal 1/3 binary64)))))

Calls

2 calls:

5.0ms	x
4.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Results

Accuracy	Segments	Branch
96.6%	1	`x`
96.6%	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)

regimes6.0ms (0.1%)

Counts

12 → 1

Calls

Call 1

Inputs
#s(literal 3/2 binary64)
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) (-.f64 #s(literal 512/38443359375 binary64) #s(literal 1/3 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) (-.f64 #s(literal 8/3375 binary64) #s(literal 1/3 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)))))
(+.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)))))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(+.f64 (.f64 (fma.f64 (.f64 x x) #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 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))))

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
96.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts

10 → 1

Calls

Call 1

Inputs
#s(literal 3/2 binary64)
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) (-.f64 #s(literal 512/38443359375 binary64) #s(literal 1/3 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) (-.f64 #s(literal 8/3375 binary64) #s(literal 1/3 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)))))
(+.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #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 (.f64 x x) (-.f64 (.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)))))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
96.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

5 → 1

Calls

Call 1

Inputs
#s(literal 3/2 binary64)
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) (-.f64 #s(literal 512/38443359375 binary64) #s(literal 1/3 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) (-.f64 #s(literal 8/3375 binary64) #s(literal 1/3 binary64)))))

Outputs
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) (-.f64 #s(literal 512/38443359375 binary64) #s(literal 1/3 binary64)))))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
96.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
96.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 3/2 binary64)
x

Outputs
x

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
96.2%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 3/2 binary64)

Outputs
#s(literal 3/2 binary64)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
5.9%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	228
1	66	228
2	71	228
3	73	228
4	74	228

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 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) #s(literal -4913/31255875 binary64))) #s(literal 1/3 binary64)))))
(+.f64 (.f64 (fma.f64 (.f64 x x) #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 (.f64 x x) (-.f64 (.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) (-.f64 #s(literal 512/38443359375 binary64) #s(literal 1/3 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (*.f64 x x))))
x
#s(literal 3/2 binary64)

Outputs
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) #s(literal -4913/31255875 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)) #s(literal 4162537/31255875 binary64)) #s(literal 1/3 binary64)))))
(+.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) x)
(+.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) (-.f64 #s(literal 512/38443359375 binary64) #s(literal 1/3 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -12814452613/38443359375 binary64))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/3 binary64))))
x
#s(literal 3/2 binary64)

soundness400.0ms (4.2%)

Rules

823×	`log1p-expm1-u`
823×	`expm1-log1p-u`
713×	`fma-define`
296×	`fma-neg`
255×	`log1p-expm1-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	40
1	174	40
2	3404	40
0	37	322
1	612	322
0	23	235
1	309	205
2	4149	201

Stop Event

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

Compiler

Compiled 251 to 88 computations (64.9% saved)

preprocess59.0ms (0.6%)

Remove: (negabs x)
Compiler: Compiled 346 to 210 computations (39.3% saved)

analyze0.0ms (0%)

sample5.5s (58%)

preprocess172.0ms (1.8%)

explain423.0ms (4.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify71.0ms (0.8%)

localize121.0ms (1.3%)

series8.0ms (0.1%)

rewrite143.0ms (1.5%)

simplify133.0ms (1.4%)

eval10.0ms (0.1%)

prune16.0ms (0.2%)

simplify25.0ms (0.3%)

localize94.0ms (1%)

series14.0ms (0.2%)

rewrite173.0ms (1.8%)

simplify202.0ms (2.1%)

eval58.0ms (0.6%)

prune58.0ms (0.6%)

simplify393.0ms (4.2%)

localize269.0ms (2.9%)

series26.0ms (0.3%)

rewrite65.0ms (0.7%)

simplify184.0ms (2%)

eval33.0ms (0.3%)

prune54.0ms (0.6%)

simplify110.0ms (1.2%)

localize176.0ms (1.9%)

series126.0ms (1.3%)

rewrite62.0ms (0.7%)

simplify171.0ms (1.8%)

eval36.0ms (0.4%)

prune39.0ms (0.4%)

regimes11.0ms (0.1%)

regimes6.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

simplify6.0ms (0.1%)

soundness400.0ms (4.2%)

preprocess59.0ms (0.6%)

end0.0ms (0%)

Profiling