Metrics for Hyperbolic secant

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 10 to 8 computations (20% saved)

Precisions

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

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)

sample799.0ms (14.5%)

Results

624.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 461.0ms

ival-exp: 304.0ms (65.9% of total)

ival-div: 58.0ms (12.6% of total)

ival-add: 49.0ms (10.6% of total)

ival-neg: 37.0ms (8% of total)

const: 10.0ms (2.2% of total)

backward-pass: 3.0ms (0.7% of total)

Bogosity

preprocess55.0ms (1%)

Algorithm

1×	egg-herbie

Rules

40×	`fma-neg`
40×	`fma-define`
24×	`sub-neg`
14×	`distribute-lft-neg-in`
14×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	124
1	35	124
2	67	124
3	113	124
4	170	124
5	231	124
6	286	124
7	302	124
8	309	124
9	320	124
10	332	124
11	334	124

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (neg.f64 x)))))
(neg.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (neg.f64 x))))))

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

Symmetry

(abs x)

explain63.0ms (1.1%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`(exp.f64 (neg.f64 x))`
-	-	`(neg.f64 x)`
-	-	`(exp.f64 x)`
-	-	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
-	-	`#s(literal 2 binary64)`
-	-	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`

Results

34.0ms

512×

valid

Compiler

Compiled 59 to 23 computations (61% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-exp: 7.0ms (43.8% of total)

ival-div: 4.0ms (25% of total)

ival-add: 3.0ms (18.8% of total)

ival-neg: 2.0ms (12.5% of total)

const: 1.0ms (6.3% of total)

backward-pass: 0.0ms (0% 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
▶	100.0%	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify10.0ms (0.2%)

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 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Rules

6×	`fma-define`
4×	`exp-diff`
4×	`exp-sum`
3×	`1-exp`
3×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	89
1	19	89
2	28	89
3	32	89
4	40	89
5	47	89
6	54	89
7	59	89
8	62	89
9	63	89

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
#s(literal 2 binary64)
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
x
(exp.f64 (neg.f64 x))
(neg.f64 x)

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

localize29.0ms (0.5%)

Localize:

Found 4 expressions of interest:

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

Results

19.0ms

256×

valid

Compiler

Compiled 25 to 8 computations (68% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-exp: 3.0ms (37.2% of total)

ival-div: 2.0ms (24.8% of total)

ival-add: 1.0ms (12.4% of total)

ival-neg: 1.0ms (12.4% of total)

const: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Counts

5 → 40

Calls

Call 1

Inputs
#<alt (/.f64 #s(literal 2 binary64) (+.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 (neg.f64 x)>

Outputs
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))>
#<alt (+.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 5/24 binary64) (*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))))>
#<alt (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))>
#<alt (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))>
#<alt (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))>
#<alt (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64))))))))>
#<alt (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))>
#<alt (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))>
#<alt (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))>
#<alt (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) x)>
#<alt (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) x))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) x))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) x))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) x))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/ 2 (+ (exp x) (exp (neg x))))
1.0ms	x	@	inf	(/ 2 (+ (exp x) (exp (neg x))))
1.0ms	x	@	0	(/ 2 (+ (exp x) (exp (neg x))))
0.0ms	x	@	inf	(neg x)
0.0ms	x	@	0	(+ (exp x) (exp (neg x)))

rewrite150.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

62×	`add-exp-log`
62×	`add-log-exp`
62×	`log1p-expm1-u`
62×	`expm1-log1p-u`
60×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	100
1	144	100
2	2343	100

Stop Event

1×

unsound

Counts

5 → 50

Calls

Call 1

Inputs
(/.f64 #s(literal 2 binary64) (+.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))
(neg.f64 x)

Outputs
#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 -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 -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 -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 -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 (2.4%)

Algorithm

1×	egg-herbie

Rules

827×	`fma-define`
601×	`sub-neg`
414×	`fma-neg`
332×	`associate-+l-`
305×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	73	836
1	174	763
2	437	757
3	1194	757
4	2362	757
5	3053	757
6	4056	757
7	5228	757
8	6615	757

Stop Event

1×	node limit

Counts

90 → 55

Calls

Call 1

Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.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 5/24 binary64) (*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64))))))))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))
(exp.f64 (*.f64 #s(literal -1 binary64) x))
(exp.f64 (*.f64 #s(literal -1 binary64) x))
(exp.f64 (*.f64 #s(literal -1 binary64) x))
(exp.f64 (*.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
#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 -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 -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 -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 -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
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+.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 5/24 binary64) (*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 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 5/24 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -61/720 binary64))) #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) #s(literal -1/2 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 5/24 binary64) (fma.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 x x #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 x x (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 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 (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)))
(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)) (fma.f64 x x #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 #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))
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
#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 -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 -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 -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 -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)

eval6.0ms (0.1%)

Compiler: Compiled 591 to 187 computations (68.4% saved)

prune21.0ms (0.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	48	7	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	48	8	56

Accuracy

100.0%

Counts

56 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.7%	(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
▶	99.2%	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)))
	67.9%	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (+.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))))))
✓	100.0%	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
	54.2%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
▶	54.4%	#s(literal 1 binary64)
▶	11.5%	#s(literal 1/2 binary64)
▶	47.8%	#s(literal 0 binary64)

Compiler

Compiled 107 to 83 computations (22.4% saved)

simplify64.0ms (1.2%)

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Rules

132×	`fma-neg`
106×	`fma-define`
50×	`sub-neg`
38×	`associate-+l-`
32×	`associate--r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	120
1	28	120
2	39	120
3	59	120
4	94	120
5	160	120
6	271	120
7	420	120
8	549	120
9	678	120
10	745	120
11	771	120
12	786	120
13	804	120
14	825	120
15	842	120
16	851	120
17	857	120

Stop Event

1×

saturated

Calls

Call 1

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

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

localize42.0ms (0.8%)

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 x x #s(literal 2 binary64))
✓	accuracy	98.6%	(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))
	accuracy	100.0%	(exp.f64 x)
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)))

Results

30.0ms

256×

valid

Compiler

Compiled 39 to 12 computations (69.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-fma: 7.0ms (44.7% of total)

ival-div: 3.0ms (19.2% of total)

ival-sub: 2.0ms (12.8% of total)

ival-exp: 2.0ms (12.8% of total)

ival-add: 1.0ms (6.4% of total)

const: 1.0ms (6.4% of total)

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

series13.0ms (0.2%)

Counts

5 → 60

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	(/ 2 (+ (exp x) (- 1 x)))
1.0ms	x	@	0	(+ (exp x) (- 1 x))
1.0ms	x	@	-inf	(/ 2 (+ (exp x) (- 1 x)))
1.0ms	x	@	inf	(/ 2 (+ (* x x) 2))
0.0ms	x	@	0	(/ 2 (+ (exp x) (- 1 x)))

rewrite225.0ms (4.1%)

Algorithm

1×	batch-egg-rewrite

Rules

970×	`log1p-expm1-u`
970×	`expm1-log1p-u`
678×	`prod-diff`
290×	`fma-define`
157×	`log1p-undefine`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	98
1	186	98
2	2568	98

Stop Event

1×	node limit

Counts

5 → 156

Calls

Call 1

Inputs
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)))
(+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
(fma.f64 x x #s(literal 2 binary64))

Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)))) (cbrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (exp.f64 x)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (+.f64 (expm1.f64 x) x))
(pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal -2 binary64) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)))))
(exp.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (fma.f64 #s(literal -1 binary64) x (exp.f64 x)))))
(exp.f64 (*.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (fma.f64 #s(literal -1 binary64) x (exp.f64 x)))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (-.f64 x (exp.f64 x)))
(-.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) x)
(-.f64 (exp.f64 (log1p.f64 (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 (expm1.f64 x) x)) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (+.f64 (expm1.f64 x) x)))
(*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (exp.f64 x)) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (expm1.f64 x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (exp.f64 x)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (expm1.f64 x) x) (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (exp.f64 x)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (+.f64 (expm1.f64 x) x))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (exp.f64 x)) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (expm1.f64 x) x)))
(/.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 (exp.f64 x) #s(literal 1 binary64)) (fma.f64 x x (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) x))))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) x) (exp.f64 x)))
(/.f64 (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 (exp.f64 x) #s(literal 1 binary64)) (neg.f64 (pow.f64 x #s(literal 2 binary64)))) (+.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) x))
(pow.f64 (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)))))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))))
(exp.f64 (log1p.f64 (fma.f64 #s(literal -1 binary64) x (exp.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (fma.f64 #s(literal -1 binary64) x (exp.f64 x))) #s(literal 1 binary64)))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) (-.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x) (exp.f64 x))
(fma.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)) (neg.f64 x))
(fma.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (exp.f64 x))
(fma.f64 (cbrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (exp.f64 x)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (exp.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (exp.f64 x))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (exp.f64 x))
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (exp.f64 x))
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (exp.f64 x))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (cbrt.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (cbrt.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (neg.f64 x))
(fma.f64 (sqrt.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (neg.f64 x))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
(+.f64 (neg.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (neg.f64 x) (neg.f64 (neg.f64 x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 #s(literal 1 binary64) (neg.f64 x)))
(pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 1 binary64) x))))
(cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 #s(literal 1 binary64) x)))
(log1p.f64 (expm1.f64 (-.f64 #s(literal 1 binary64) x)))
(exp.f64 (log1p.f64 (neg.f64 x)))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) #s(literal 1 binary64))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) #s(literal 1 binary64))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal 2 binary64))))
(sqrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))))
(exp.f64 (log.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))
(+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x x #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 2 binary64)))
(*.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 x x #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x x #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal 2 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)) #s(literal -4 binary64)) (fma.f64 x x #s(literal -2 binary64)))
(pow.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x x #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x x #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 x x #s(literal 2 binary64))))
(exp.f64 (log.f64 (fma.f64 x x #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x #s(literal 2 binary64))) #s(literal 1 binary64)))

simplify110.0ms (2%)

Algorithm

1×	egg-herbie

Rules

444×	`distribute-lft-neg-out`
373×	`distribute-rgt-neg-out`
324×	`fma-neg`
248×	`cancel-sign-sub-inv`
234×	`neg-sub0`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	454	6328
1	1015	6085
2	3876	6022

Stop Event

1×	node limit

Counts

216 → 273

Calls

Call 1

Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/12 binary64) x) #s(literal 1/4 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/12 binary64))) #s(literal 1/4 binary64))))
(/.f64 #s(literal -2 binary64) x)
(/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x)) #s(literal 2 binary64)) x)
(/.f64 (-.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x)))) x)
(/.f64 (-.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x)) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))) x)
(/.f64 #s(literal -2 binary64) x)
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x))) x))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64)) x)) (.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x)))) x))) x))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 3 binary64)) x)) (.f64 #s(literal -2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64)))) x)) (.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x)))) x))) x))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) x))))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x))))))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (exp.f64 x) x)) #s(literal 1 binary64)))
(*.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (exp.f64 x) x)) #s(literal 1 binary64)))
(*.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (exp.f64 x) x)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) x)
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x)))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) x)
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (pow.f64 x #s(literal 2 binary64)))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 x #s(literal 2 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)))) (cbrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (exp.f64 x)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (+.f64 (expm1.f64 x) x))
(pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal -2 binary64) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)))))
(exp.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (fma.f64 #s(literal -1 binary64) x (exp.f64 x)))))
(exp.f64 (*.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (fma.f64 #s(literal -1 binary64) x (exp.f64 x)))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (-.f64 x (exp.f64 x)))
(-.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) x)
(-.f64 (exp.f64 (log1p.f64 (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 (expm1.f64 x) x)) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (+.f64 (expm1.f64 x) x)))
(*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (exp.f64 x)) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (expm1.f64 x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (exp.f64 x)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (expm1.f64 x) x) (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (exp.f64 x)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (+.f64 (expm1.f64 x) x))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (exp.f64 x)) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (expm1.f64 x) x)))
(/.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 (exp.f64 x) #s(literal 1 binary64)) (fma.f64 x x (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) x))))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) x) (exp.f64 x)))
(/.f64 (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 (exp.f64 x) #s(literal 1 binary64)) (neg.f64 (pow.f64 x #s(literal 2 binary64)))) (+.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) x))
(pow.f64 (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)))))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))))
(exp.f64 (log1p.f64 (fma.f64 #s(literal -1 binary64) x (exp.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (fma.f64 #s(literal -1 binary64) x (exp.f64 x))) #s(literal 1 binary64)))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) (-.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x) (exp.f64 x))
(fma.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)) (neg.f64 x))
(fma.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (exp.f64 x))
(fma.f64 (cbrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (exp.f64 x)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (exp.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (exp.f64 x))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (exp.f64 x))
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (exp.f64 x))
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (exp.f64 x))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (cbrt.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (cbrt.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (neg.f64 x))
(fma.f64 (sqrt.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (neg.f64 x))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
(+.f64 (neg.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (neg.f64 x) (neg.f64 (neg.f64 x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 #s(literal 1 binary64) (neg.f64 x)))
(pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 1 binary64) x))))
(cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 #s(literal 1 binary64) x)))
(log1p.f64 (expm1.f64 (-.f64 #s(literal 1 binary64) x)))
(exp.f64 (log1p.f64 (neg.f64 x)))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) #s(literal 1 binary64))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) #s(literal 1 binary64))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal 2 binary64))))
(sqrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))))
(exp.f64 (log.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))
(+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x x #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 2 binary64)))
(*.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 x x #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x x #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal 2 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)) #s(literal -4 binary64)) (fma.f64 x x #s(literal -2 binary64)))
(pow.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x x #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x x #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 x x #s(literal 2 binary64))))
(exp.f64 (log.f64 (fma.f64 x x #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x #s(literal 2 binary64))) #s(literal 1 binary64)))

Outputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/12 binary64) x) #s(literal 1/4 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/4 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x #s(literal -1/12 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/12 binary64))) #s(literal 1/4 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/12 binary64)) #s(literal -1/4 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/12 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -2 binary64) x)
(/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x)) #s(literal 2 binary64)) x)
(/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x) #s(literal -2 binary64)) x)
(/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 x)) x) #s(literal -2 binary64)) x)
(/.f64 (-.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x)))) x)
(/.f64 (-.f64 (-.f64 (/.f64 (.f64 #s(literal -2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x))) x)
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64)) x) (+.f64 #s(literal 1 binary64) (exp.f64 x)))) x) #s(literal 2 binary64)) x)
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64)) x) (+.f64 #s(literal 1 binary64) (exp.f64 x)))) x)) x)
(/.f64 (-.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x)) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))) x)
(/.f64 (-.f64 (-.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) x)
(-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) x))
(/.f64 (+.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x) #s(literal 3 binary64)) #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64)) x) (+.f64 #s(literal 1 binary64) (exp.f64 x)))) x)) x)
(/.f64 #s(literal -2 binary64) x)
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x))) x))
(/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x) #s(literal -2 binary64)) x)
(/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 x)) x) #s(literal -2 binary64)) x)
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64)) x)) (.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x)))) x))) x))
(/.f64 (-.f64 (-.f64 (/.f64 (.f64 #s(literal -2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x))) x)
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64)) x) (+.f64 #s(literal 1 binary64) (exp.f64 x)))) x) #s(literal 2 binary64)) x)
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64)) x) (+.f64 #s(literal 1 binary64) (exp.f64 x)))) x)) x)
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#s(literal 1 binary64)
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(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))))))
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) #s(literal 3 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))))
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
(exp.f64 (log.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))))
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 x x #s(literal 2 binary64))
(+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))
(fma.f64 x x #s(literal 2 binary64))
(+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 x x #s(literal 2 binary64))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x x #s(literal 2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (fma.f64 x x #s(literal 2 binary64))))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 2 binary64)))
(fma.f64 x x #s(literal 2 binary64))
(*.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 x x #s(literal 2 binary64))
(*.f64 (cbrt.f64 (fma.f64 x x #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64)))
(fma.f64 x x #s(literal 2 binary64))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x x #s(literal 2 binary64))))
(fma.f64 x x #s(literal 2 binary64))
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal 2 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 2 binary64))))
(fma.f64 x x #s(literal 2 binary64))
(/.f64 (+.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (+.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)) #s(literal -4 binary64)) (fma.f64 x x #s(literal -2 binary64)))
(/.f64 (+.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal -2 binary64)))
(pow.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 x x #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x x #s(literal 2 binary64))) #s(literal 3 binary64))
(fma.f64 x x #s(literal 2 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 x x #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64))
(fma.f64 x x #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 x x #s(literal 2 binary64))
(log.f64 (exp.f64 (fma.f64 x x #s(literal 2 binary64))))
(fma.f64 x x #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x x #s(literal 2 binary64)))))
(fma.f64 x x #s(literal 2 binary64))
(cbrt.f64 (pow.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 3 binary64)))
(fma.f64 x x #s(literal 2 binary64))
(expm1.f64 (log1p.f64 (fma.f64 x x #s(literal 2 binary64))))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 x x #s(literal 2 binary64))))
(fma.f64 x x #s(literal 2 binary64))
(exp.f64 (log.f64 (fma.f64 x x #s(literal 2 binary64))))
(fma.f64 x x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 x x #s(literal 2 binary64))

eval42.0ms (0.8%)

Compiler: Compiled 3972 to 915 computations (77% saved)

prune36.0ms (0.7%)

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	277	3	280
Fresh	1	1	2
Picked	0	5	5
Done	0	1	1
Total	278	10	288

Accuracy

100.0%

Counts

288 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	77.7%	(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
▶	85.4%	(/.f64 #s(literal 2 binary64) (+.f64 (+.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))))))) (-.f64 #s(literal 1 binary64) x)))
▶	77.3%	(/.f64 #s(literal 2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (-.f64 #s(literal 1 binary64) x)))
✓	99.2%	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)))
▶	67.9%	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (+.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))))))
✓	100.0%	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
▶	54.2%	(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))
✓	54.4%	#s(literal 1 binary64)
✓	11.5%	#s(literal 1/2 binary64)
✓	47.8%	#s(literal 0 binary64)

Compiler

Compiled 94 to 70 computations (25.5% saved)

simplify116.0ms (2.1%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6272	(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))
✓	cost-diff	-6272	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))
	cost-diff	0	(-.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(*.f64 x #s(literal 1/6 binary64))
✓	cost-diff	-6272	(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
✓	cost-diff	-6272	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))
	cost-diff	0	(-.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	-6272	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))
✓	cost-diff	-6272	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) x)))
✓	cost-diff	0	(*.f64 #s(literal -1/6 binary64) x)
	cost-diff	0	(exp.f64 x)
✓	cost-diff	-6272	(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))
✓	cost-diff	0	(pow.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))

Rules

635×	`sub-neg`
504×	`distribute-neg-in`
486×	`fma-define`
464×	`unsub-neg`
379×	`neg-mul-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	39	854
1	102	710
2	253	694
3	664	638
4	1878	638
5	3781	638
6	5724	638
7	7352	638

Stop Event

1×	node limit

Calls

Call 1

Inputs
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))
#s(literal 1 binary64)
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
#s(literal -1/2 binary64)
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (+.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))))))
#s(literal 2 binary64)
(+.f64 (exp.f64 x) (+.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 x)
x
(+.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))))
#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 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) x)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/6 binary64) x)
#s(literal -1/6 binary64)
(/.f64 #s(literal 2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (-.f64 #s(literal 1 binary64) x)))
#s(literal 2 binary64)
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (-.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))))
#s(literal 1 binary64)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))
x
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(-.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 2 binary64) (+.f64 (+.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))))))) (-.f64 #s(literal 1 binary64) x)))
#s(literal 2 binary64)
(+.f64 (+.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))))))) (-.f64 #s(literal 1 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)))))))
#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))))))
x
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))
#s(literal 1/2 binary64)
(*.f64 x #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(-.f64 #s(literal 1 binary64) x)

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

localize227.0ms (4.1%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))
✓	accuracy	99.9%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))
✓	accuracy	99.8%	(/.f64 #s(literal 2 binary64) (+.f64 (+.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))))))) (-.f64 #s(literal 1 binary64) x)))
✓	accuracy	99.4%	(*.f64 x #s(literal 1/6 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))
✓	accuracy	100.0%	(+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (-.f64 #s(literal 1 binary64) x))
✓	accuracy	98.6%	(/.f64 #s(literal 2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (-.f64 #s(literal 1 binary64) x)))
✓	accuracy	100.0%	(.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)))
✓	accuracy	99.9%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) x)))
✓	accuracy	99.4%	(*.f64 #s(literal -1/6 binary64) x)
✓	accuracy	74.8%	(+.f64 (exp.f64 x) (+.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)))))
✓	accuracy	100.0%	(pow.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))
✓	accuracy	100.0%	(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))

Results

168.0ms

256×

valid

Compiler

Compiled 261 to 35 computations (86.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 130.0ms

ival-add: 79.0ms (60.8% of total)

ival-mult: 29.0ms (22.3% of total)

...c/correct-round.rkt:119:19: 8.0ms (6.2% of total)

ival-div: 5.0ms (3.8% of total)

ival-pow: 4.0ms (3.1% of total)

ival-sub: 3.0ms (2.3% of total)

ival-exp: 2.0ms (1.5% of total)

const: 1.0ms (0.8% of total)

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

series27.0ms (0.5%)

Counts

18 → 184

Calls

Call 1

Inputs
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))>
#<alt (*.f64 #s(literal -1/6 binary64) x)>
#<alt (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) x)))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))>
#<alt (*.f64 x #s(literal 1/2 binary64))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))>
#<alt (*.f64 x #s(literal 1/6 binary64))>
#<alt (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))>
#<alt (+.f64 (exp.f64 x) (+.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 (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)))>
#<alt (/.f64 #s(literal 2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (-.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (-.f64 #s(literal 1 binary64) x))>
#<alt (/.f64 #s(literal 2 binary64) (+.f64 (+.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))))))) (-.f64 #s(literal 1 binary64) x)))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))>

Outputs
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1/2 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 1/2 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 1/2 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 1/2 binary64)))>
#<alt (*.f64 #s(literal -1/2 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 1/2 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 1/2 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 1/2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))>
#<alt #s(literal 1/2 binary64)>
#<alt (*.f64 #s(literal -1/6 binary64) x)>
#<alt (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))>
#<alt (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))>
#<alt (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))>
#<alt (*.f64 #s(literal -1/6 binary64) x)>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) x)))>
#<alt (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) x)))>
#<alt (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) x)))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))>
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.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 1/24 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 1/24 binary64) (*.f64 #s(literal 1/120 binary64) x))))))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (exp.f64 x) (pow.f64 x #s(literal 3 binary64))))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1/6 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 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x))) x))) x)))))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1/6 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 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/4 binary64))))>
#<alt (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 256 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 256 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/12 binary64) x) #s(literal 1/4 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/12 binary64))) #s(literal 1/4 binary64))))>
#<alt (/.f64 #s(literal 12 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 12 binary64) (*.f64 #s(literal 36 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 3 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 12 binary64) (/.f64 #s(literal 108 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 36 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 3 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 12 binary64) (/.f64 #s(literal 108 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 36 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 468 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (pow.f64 x #s(literal 3 binary64)))>
#<alt (/.f64 #s(literal 12 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 36 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 12 binary64)) (pow.f64 x #s(literal 3 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 108 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 36 binary64)) x)) #s(literal 12 binary64)) (pow.f64 x #s(literal 3 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 468 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 108 binary64)) x)) #s(literal 36 binary64)) x)) #s(literal 12 binary64)) (pow.f64 x #s(literal 3 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 #s(literal 1/6 binary64) x)))))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/6 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/6 binary64))))>

Calls

54 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(* x (+ 1/2 (* -1/6 x)))
1.0ms	x	@	0	(* (pow x 2) -1/2)
0.0ms	x	@	inf	(* x (+ 1/2 (* -1/6 x)))
0.0ms	x	@	-inf	(/ 2 (+ (+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6)))))) (- 1 x)))
0.0ms	x	@	inf	(+ (exp x) (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))))

rewrite263.0ms (4.8%)

Algorithm

1×	batch-egg-rewrite

Rules

348×	`log1p-expm1-u`
348×	`expm1-log1p-u`
336×	`add-cube-cbrt`
335×	`add-exp-log`
334×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	497
1	726	421

Stop Event

1×	node limit

Counts

18 → 351

Calls

Call 1

Inputs
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 x #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/6 binary64) x)
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) x)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))
(*.f64 x #s(literal 1/2 binary64))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/6 binary64))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))
(+.f64 (exp.f64 x) (+.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 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (-.f64 #s(literal 1 binary64) x)))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (-.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 2 binary64) (+.f64 (+.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))))))) (-.f64 #s(literal 1 binary64) x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))

Outputs
(-.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal -1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(exp.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 x x)
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(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 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 (hypot.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 #s(literal -1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(exp.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(exp.f64 (.f64 (log1p.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 x (sqrt.f64 #s(literal -1/2 binary64))) (.f64 x (sqrt.f64 #s(literal -1/2 binary64))) #s(literal 1 binary64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal -1/6 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal -1/6 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/216 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal -1/6 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -1/6 binary64)) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal -1/6 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/216 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal -1/6 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal -1/6 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal -1/6 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (*.f64 x #s(literal -1/6 binary64))))
(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 (*.f64 x #s(literal -1/6 binary64)) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
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(/.f64 (+.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))))) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))))))
(/.f64 (+.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))))
(pow.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))))
(exp.f64 (log1p.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))
(exp.f64 (*.f64 (log1p.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(fma.f64 #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) x))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 2 binary64) (+.f64 #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)) (-.f64 #s(literal 1 binary64) x)))))) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #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)) (-.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #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)) (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #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)) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 #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)) (-.f64 #s(literal 1 binary64) x))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 #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)) (-.f64 #s(literal 1 binary64) x))))) (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 #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)) (-.f64 #s(literal 1 binary64) x))))))
(pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #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)) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 #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)) (-.f64 #s(literal 1 binary64) x))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #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)) (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 #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)) (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64))
(pow.f64 (/.f64 (+.f64 #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)) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) #s(literal -1 binary64))
(sqrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #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)) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (+.f64 #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)) (-.f64 #s(literal 1 binary64) x))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 2 binary64) (+.f64 #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)) (-.f64 #s(literal 1 binary64) x)))))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #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)) (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 2 binary64) (+.f64 #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)) (-.f64 #s(literal 1 binary64) x))))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 2 binary64) (+.f64 #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)) (-.f64 #s(literal 1 binary64) x))))))
(exp.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))))
(exp.f64 (*.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))
(+.f64 x (.f64 x (.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(+.f64 x (.f64 (.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x))
(-.f64 (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))
(pow.f64 (*.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))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(exp.f64 (.f64 (log.f64 (.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)))
(fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1 binary64) x (.f64 (.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (.f64 (.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 (.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x))

simplify807.0ms (14.6%)

Algorithm

1×	egg-herbie

Rules

536×	`fma-neg`
345×	`associate-r`
334×	`associate-l`
321×	`exp-prod`
269×	`sub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	891	16412
1	1958	14739
2	5853	14609

Stop Event

1×	node limit

Counts

535 → 536

Calls

Call 1

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

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

eval242.0ms (4.4%)

Compiler: Compiled 12537 to 2901 computations (76.9% saved)

prune80.0ms (1.5%)

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	633	2	635
Fresh	0	0	0
Picked	1	3	4
Done	1	5	6
Total	635	10	645

Accuracy

100.0%

Counts

645 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	85.4%	(/.f64 #s(literal 2 binary64) (+.f64 (+.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))))))) (-.f64 #s(literal 1 binary64) x)))
▶	53.6%	(/.f64 #s(literal 2 binary64) (+.f64 (+.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))))))) (+.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))))))
✓	77.3%	(/.f64 #s(literal 2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (-.f64 #s(literal 1 binary64) x)))
✓	99.2%	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)))
✓	67.9%	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (+.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))))))
✓	100.0%	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
▶	54.2%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64)))
✓	54.4%	#s(literal 1 binary64)
✓	11.5%	#s(literal 1/2 binary64)
✓	47.8%	#s(literal 0 binary64)

Compiler

Compiled 117 to 85 computations (27.4% saved)

simplify175.0ms (3.2%)

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-4864	(+.f64 (+.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))))))) (+.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)))))
✓	cost-diff	-4864	(/.f64 #s(literal 2 binary64) (+.f64 (+.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))))))) (+.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))))))
	cost-diff	0	(*.f64 #s(literal -1/6 binary64) x)
	cost-diff	0	(*.f64 x #s(literal 1/6 binary64))
✓	cost-diff	-6272	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) #s(literal -1/2 binary64))

Rules

848×	`sub-neg`
395×	`fma-define`
383×	`+-commutative`
365×	`associate-+l-`
358×	`associate-+r-`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	28	588
1	75	484
2	191	470
3	497	462
4	1464	462
5	2339	436
6	5158	368
7	7995	368

Stop Event

1×	node limit

Calls

Call 1

Inputs
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64)))
#s(literal 1 binary64)
(.f64 (.f64 x x) #s(literal -1/2 binary64))
(*.f64 x x)
x
#s(literal -1/2 binary64)
(/.f64 #s(literal 2 binary64) (+.f64 (+.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))))))) (+.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))))))
#s(literal 2 binary64)
(+.f64 (+.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))))))) (+.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 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))))
#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))))))
x
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))
#s(literal 1/2 binary64)
(*.f64 x #s(literal 1/6 binary64))
#s(literal 1/6 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 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)))
(-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) x)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))
(*.f64 #s(literal -1/6 binary64) x)
#s(literal -1/6 binary64)

Outputs
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64))))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 (.f64 x x) #s(literal -1/2 binary64))
(.f64 x (.f64 x #s(literal -1/2 binary64)))
(*.f64 x x)
x
#s(literal -1/2 binary64)
(/.f64 #s(literal 2 binary64) (+.f64 (+.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))))))) (+.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 2 binary64) (+.f64 (+.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))))))) (+.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))))))
(/.f64 #s(literal 2 binary64) (+.f64 (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)) (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))))
(/.f64 #s(literal 2 binary64) (+.f64 (*.f64 x (+.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (*.f64 x (+.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
#s(literal 2 binary64)
(+.f64 (+.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))))))) (+.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 (+.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))))))) (+.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)))))
(+.f64 (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)) (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)))
(+.f64 (*.f64 x (+.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))
(fma.f64 x (+.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))
(fma.f64 x (*.f64 x (+.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(fma.f64 x x #s(literal 2 binary64))
(+.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 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
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 #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))
(*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 x #s(literal 1/6 binary64))
#s(literal 1/6 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))
(.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #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)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))
(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 #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/6 binary64))))
(*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/6 binary64) x)
(*.f64 x #s(literal -1/6 binary64))
#s(literal -1/6 binary64)

localize350.0ms (6.3%)

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
	accuracy	99.4%	(*.f64 x #s(literal 1/6 binary64))
	accuracy	99.4%	(*.f64 #s(literal -1/6 binary64) x)
✓	accuracy	98.6%	(/.f64 #s(literal 2 binary64) (+.f64 (+.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))))))) (+.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))))))
✓	accuracy	61.1%	(+.f64 (+.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))))))) (+.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)))))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64)))
✓	accuracy	100.0%	(.f64 (.f64 x x) #s(literal -1/2 binary64))
✓	accuracy	100.0%	(*.f64 x x)

Results

167.0ms	140×	0	valid
100.0ms	39×	2	valid
40.0ms	77×	1	valid

Compiler

Compiled 178 to 25 computations (86% saved)

Precisions

Click to see histograms. Total time spent on operations: 139.0ms

ival-add: 84.0ms (60.3% of total)

ival-mult: 26.0ms (18.7% of total)

...c/correct-round.rkt:119:19: 13.0ms (9.3% of total)

backward-pass: 10.0ms (7.2% of total)

ival-div: 2.0ms (1.4% of total)

ival-sub: 2.0ms (1.4% of total)

const: 1.0ms (0.7% of total)

series6.0ms (0.1%)

Counts

5 → 60

Calls

Call 1

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

Outputs
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1/2 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 1/2 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 1/2 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 1/2 binary64)))>
#<alt (*.f64 #s(literal -1/2 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 1/2 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 1/2 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 1/2 binary64)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))))>
#<alt (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(+ (+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6)))))) (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))))
0.0ms	x	@	-inf	(/ 2 (+ (+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6)))))) (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))))
0.0ms	x	@	0	(+ (+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6)))))) (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))))
0.0ms	x	@	0	(/ 2 (+ (+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6)))))) (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))))
0.0ms	x	@	inf	(/ 2 (+ (+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6)))))) (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))))

rewrite87.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

229×	`log1p-expm1-u`
229×	`expm1-log1p-u`
221×	`add-exp-log`
221×	`add-log-exp`
221×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	240
1	486	196

Stop Event

1×	node limit

Counts

5 → 134

Calls

Call 1

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

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

simplify262.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

444×	`associate-+l+`
367×	`associate-+r+`
288×	`associate-/r*`
244×	`times-frac`
228×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	381	13006
1	876	12706
2	2730	11887

Stop Event

1×	node limit

Counts

194 → 205

Calls

Call 1

Inputs
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (pow.f64 x #s(literal 2 binary64)))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 x #s(literal 2 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
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(/.f64 (+.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))) (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 (+.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (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 3 binary64)) (pow.f64 (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 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (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 2 binary64)) (*.f64 (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)) (-.f64 (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)) (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)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (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 2 binary64)) (pow.f64 (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 2 binary64)))) (neg.f64 (-.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 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))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 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))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 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)))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 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))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (+.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (+.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 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))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 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))))) (-.f64 #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)) (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)))))
(/.f64 (-.f64 (pow.f64 (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 2 binary64)) (pow.f64 (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 2 binary64))) (-.f64 (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)) (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))))
(/.f64 (-.f64 (.f64 (+.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))) (pow.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (-.f64 (+.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(pow.f64 (+.f64 #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)) (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))
(pow.f64 (cbrt.f64 (+.f64 #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)) (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 3 binary64))
(pow.f64 (pow.f64 (+.f64 #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)) (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 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 #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)) (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 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 #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)) (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 2 binary64)))
(log.f64 (exp.f64 (+.f64 #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)) (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))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #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)) (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)))))))
(cbrt.f64 (pow.f64 (+.f64 #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)) (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 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #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)) (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))))))
(log1p.f64 (expm1.f64 (+.f64 #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)) (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 (log1p.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 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 (log1p.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 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)))) #s(literal 1 binary64)))
(fma.f64 #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)) (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)))
(fma.f64 #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)) (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)))
(fma.f64 (pow.f64 (cbrt.f64 (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 2 binary64)) (cbrt.f64 (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))) (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)))
(fma.f64 (pow.f64 (cbrt.f64 (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 2 binary64)) (cbrt.f64 (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))) (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)))
(fma.f64 (sqrt.f64 (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))) (sqrt.f64 (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))) (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)))
(fma.f64 (sqrt.f64 (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))) (sqrt.f64 (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))) (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)))

Outputs
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
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(fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
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(expm1.f64 (log1p.f64 (+.f64 #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)) (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))))))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 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)))))
(+.f64 (*.f64 x (+.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (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 2 binary64)) (cbrt.f64 (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))) (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)))
(expm1.f64 (log1p.f64 (+.f64 #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)) (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))))))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 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)))))
(+.f64 (*.f64 x (+.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (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 2 binary64)) (cbrt.f64 (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))) (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)))
(expm1.f64 (log1p.f64 (+.f64 #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)) (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))))))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 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)))))
(+.f64 (*.f64 x (+.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))
(fma.f64 (sqrt.f64 (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))) (sqrt.f64 (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))) (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)))
(expm1.f64 (log1p.f64 (+.f64 #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)) (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))))))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 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)))))
(+.f64 (*.f64 x (+.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))
(fma.f64 (sqrt.f64 (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))) (sqrt.f64 (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))) (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)))
(expm1.f64 (log1p.f64 (+.f64 #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)) (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))))))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 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)))))
(+.f64 (*.f64 x (+.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))

eval31.0ms (0.6%)

Compiler: Compiled 7614 to 937 computations (87.7% saved)

prune86.0ms (1.6%)

Pruning

10 alts after pruning (0 fresh and 10 done)

	Pruned	Kept	Total
New	232	0	232
Fresh	0	0	0
Picked	0	2	2
Done	0	8	8
Total	232	10	242

Accuracy

100.0%

Counts

242 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	85.4%	(/.f64 #s(literal 2 binary64) (+.f64 (+.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))))))) (-.f64 #s(literal 1 binary64) x)))
✓	53.6%	(/.f64 #s(literal 2 binary64) (+.f64 (+.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))))))) (+.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))))))
✓	77.3%	(/.f64 #s(literal 2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (-.f64 #s(literal 1 binary64) x)))
✓	99.2%	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)))
✓	67.9%	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (+.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))))))
✓	100.0%	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	54.2%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64)))
✓	54.4%	#s(literal 1 binary64)
✓	11.5%	#s(literal 1/2 binary64)
✓	47.8%	#s(literal 0 binary64)

Compiler

Compiled 245 to 135 computations (44.9% saved)

regimes152.0ms (2.8%)

Counts

13 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (-.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 2 binary64) (+.f64 (+.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))))))) (-.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 2 binary64) (+.f64 (+.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))))))) (+.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 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (+.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 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

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

Calls

3 calls:

144.0ms	x
3.0ms	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
3.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
100.0%	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes5.0ms (0.1%)

Counts

12 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (-.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 2 binary64) (+.f64 (+.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))))))) (-.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 2 binary64) (+.f64 (+.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))))))) (+.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 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (+.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))))))

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
99.2%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0.1%)

Counts

10 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (-.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 2 binary64) (+.f64 (+.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))))))) (-.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 2 binary64) (+.f64 (+.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))))))) (+.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 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))

Outputs

(/.f64 #s(literal 2 binary64) (+.f64 (+.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))))))) (+.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))))))

#s(literal 0 binary64)

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.5%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0.1%)

Counts

6 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (-.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 2 binary64) (+.f64 (+.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))))))) (-.f64 #s(literal 1 binary64) x)))

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.4%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

3 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)

Outputs
#s(literal 1 binary64)
#s(literal 0 binary64)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.1%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0.1%)

Counts

2 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)

Outputs
#s(literal 1/2 binary64)
#s(literal 0 binary64)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
56.2%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)

Outputs
#s(literal 0 binary64)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
47.8%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch14.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	10.61615077909812	23844.837054426385

Results

8.0ms

128×

valid

Compiler

Compiled 285 to 202 computations (29.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-exp: 2.0ms (41.5% of total)

ival-div: 1.0ms (20.7% of total)

ival-add: 1.0ms (20.7% of total)

ival-neg: 1.0ms (20.7% of total)

const: 0.0ms (0% of total)

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

bsearch14.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.016234059166397162	10.61615077909812

Results

9.0ms

128×

valid

Compiler

Compiled 109 to 90 computations (17.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-exp: 3.0ms (52% of total)

ival-div: 1.0ms (17.3% of total)

ival-add: 1.0ms (17.3% of total)

ival-neg: 1.0ms (17.3% of total)

const: 0.0ms (0% of total)

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

bsearch13.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	10.61615077909812	23844.837054426385

Results

8.0ms

128×

valid

Compiler

Compiled 61 to 58 computations (4.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-exp: 3.0ms (61.3% of total)

ival-div: 1.0ms (20.4% of total)

ival-add: 1.0ms (20.4% of total)

ival-neg: 1.0ms (20.4% of total)

const: 0.0ms (0% of total)

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

bsearch14.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	10.61615077909812	23844.837054426385

Results

8.0ms

128×

valid

Compiler

Compiled 61 to 58 computations (4.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-exp: 2.0ms (41.7% of total)

ival-div: 1.0ms (20.9% of total)

ival-add: 1.0ms (20.9% of total)

ival-neg: 1.0ms (20.9% of total)

const: 0.0ms (0% of total)

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

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

13×	`+-commutative`
10×	`*-commutative`
6×	`unsub-neg`
5×	`neg-mul-1`
4×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	243
1	75	243
2	81	243
3	87	243
4	94	243
5	105	243

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)))
(if (<=.f64 x #s(literal 360 binary64)) (/.f64 #s(literal 2 binary64) (+.f64 (+.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))))))) (+.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)))))) #s(literal 0 binary64))
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64))) #s(literal 0 binary64))
(if (<=.f64 x #s(literal 360 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(if (<=.f64 x #s(literal 360 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
#s(literal 0 binary64)

Outputs
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)))
(if (<=.f64 x #s(literal 360 binary64)) (/.f64 #s(literal 2 binary64) (+.f64 (+.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))))))) (+.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)))))) #s(literal 0 binary64))
(if (<=.f64 x #s(literal 360 binary64)) (/.f64 #s(literal 2 binary64) (+.f64 (+.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))))))) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/6 binary64)))) #s(literal 1 binary64)))))) #s(literal 0 binary64))
(if (<=.f64 x #s(literal 360 binary64)) (/.f64 #s(literal 2 binary64) (+.f64 (+.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))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/6 binary64)))) #s(literal -1 binary64)))))) #s(literal 0 binary64))
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64))) #s(literal 0 binary64))
(if (<=.f64 x #s(literal 360 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(if (<=.f64 x #s(literal 360 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
#s(literal 0 binary64)

soundness676.0ms (12.3%)

Rules

827×	`fma-define`
601×	`sub-neg`
444×	`distribute-lft-neg-out`
414×	`fma-neg`
373×	`distribute-rgt-neg-out`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	497
1	726	421
0	454	6328
1	1015	6085
2	3876	6022
0	12	100
1	144	100
2	2343	100
0	73	836
1	174	763
2	437	757
3	1194	757
4	2362	757
5	3053	757
6	4056	757
7	5228	757
8	6615	757

Stop Event

1×	done
1×	node limit
1×	unsound
1×	node limit
1×	node limit

Compiler

Compiled 281 to 122 computations (56.6% saved)

preprocess42.0ms (0.8%)

Remove: (abs x)
Compiler: Compiled 206 to 126 computations (38.8% saved)

Iter	Nodes	Cost
0	17	124
1	35	124
2	67	124
3	113	124
4	170	124
5	231	124
6	286	124
7	302	124
8	309	124
9	320	124
10	332	124
11	334	124

Iter	Nodes	Cost
0	17	120
1	28	120
2	39	120
3	59	120
4	94	120
5	160	120
6	271	120
7	420	120
8	549	120
9	678	120
10	745	120
11	771	120
12	786	120
13	804	120
14	825	120
15	842	120
16	851	120
17	857	120

Iter	Nodes	Cost
0	17	124
1	35	124
2	67	124
3	113	124
4	170	124
5	231	124
6	286	124
7	302	124
8	309	124
9	320	124
10	332	124
11	334	124

Iter	Nodes	Cost
0	17	120
1	28	120
2	39	120
3	59	120
4	94	120
5	160	120
6	271	120
7	420	120
8	549	120
9	678	120
10	745	120
11	771	120
12	786	120
13	804	120
14	825	120
15	842	120
16	851	120
17	857	120

analyze0.0ms (0%)

sample799.0ms (14.5%)

preprocess55.0ms (1%)

explain63.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify10.0ms (0.2%)

localize29.0ms (0.5%)

series7.0ms (0.1%)

rewrite150.0ms (2.7%)

simplify133.0ms (2.4%)

eval6.0ms (0.1%)

prune21.0ms (0.4%)

simplify64.0ms (1.2%)

localize42.0ms (0.8%)

series13.0ms (0.2%)

rewrite225.0ms (4.1%)

simplify110.0ms (2%)

eval42.0ms (0.8%)

prune36.0ms (0.7%)

simplify116.0ms (2.1%)

localize227.0ms (4.1%)

series27.0ms (0.5%)

rewrite263.0ms (4.8%)

simplify807.0ms (14.6%)

eval242.0ms (4.4%)

prune80.0ms (1.5%)

simplify175.0ms (3.2%)

localize350.0ms (6.3%)

series6.0ms (0.1%)

rewrite87.0ms (1.6%)

simplify262.0ms (4.7%)

eval31.0ms (0.6%)

prune86.0ms (1.6%)

regimes152.0ms (2.8%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

regimes2.0ms (0%)

regimes3.0ms (0.1%)

regimes2.0ms (0%)

bsearch14.0ms (0.2%)

bsearch14.0ms (0.3%)

bsearch13.0ms (0.2%)

bsearch14.0ms (0.3%)

simplify7.0ms (0.1%)

soundness676.0ms (12.3%)

preprocess42.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	17	124
1	35	124
2	67	124
3	113	124
4	170	124
5	231	124
6	286	124
7	302	124
8	309	124
9	320	124
10	332	124
11	334	124

Iter	Nodes	Cost
0	17	120
1	28	120
2	39	120
3	59	120
4	94	120
5	160	120
6	271	120
7	420	120
8	549	120
9	678	120
10	745	120
11	771	120
12	786	120
13	804	120
14	825	120
15	842	120
16	851	120
17	857	120