Metrics for Hyperbolic sine

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 10 to 8 computations (20% saved)

Precisions

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

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

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

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

const: 0.0ms (0% of total)

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

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

sample1.6s (25%)

Results

1.1s	4025×	1	valid
232.0ms	4231×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

ival-exp: 796.0ms (70.5% of total)

ival-div: 129.0ms (11.4% of total)

ival-sub: 82.0ms (7.3% of total)

ival-neg: 60.0ms (5.3% of total)

backward-pass: 51.0ms (4.5% of total)

const: 11.0ms (1% of total)

Bogosity

preprocess63.0ms (1%)

Algorithm

1×	egg-herbie

Rules

96×	`fma-define`
95×	`fmm-def`
27×	`sub-neg`
23×	`distribute-neg-frac`
19×	`distribute-lft-neg-in`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	17	124
1	45	124
2	98	124
3	199	124
4	413	116
5	621	116
6	695	116
7	696	116

Stop Event

1×

saturated

Calls

Call 1

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

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

Symmetry

(negabs x)

explain511.0ms (7.8%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
120	-	-	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
0	-	-	`x`
0	-	-	`(exp.f64 (neg.f64 x))`
0	-	-	`(neg.f64 x)`
0	-	-	`(exp.f64 x)`
0	-	-	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
0	-	-	`#s(literal 2 binary64)`

Results

73.0ms	236×	1	valid
21.0ms	276×	0	valid

Compiler

Compiled 59 to 23 computations (61% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-exp: 40.0ms (61.3% of total)

ival-sub: 8.0ms (12.3% of total)

backward-pass: 8.0ms (12.3% of total)

ival-div: 6.0ms (9.2% of total)

ival-neg: 4.0ms (6.1% of total)

const: 1.0ms (1.5% of total)

eval0.0ms (0%)

Compiler: Compiled 17 to 10 computations (41.2% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.7%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify34.0ms (0.5%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

119×	`fmm-def`
62×	`fma-define`
26×	`div-sub`
22×	`sub-neg`
18×	`*-commutative`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	12	89
1	23	89
2	43	89
3	72	89
4	119	89
5	187	89
6	276	89
7	421	87
8	541	87
9	587	87
10	592	87

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (-.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)
#s(literal 2 binary64)

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

localize192.0ms (2.9%)

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	56.7%	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

32.0ms	118×	1	valid
10.0ms	138×	0	valid

Compiler

Compiled 25 to 8 computations (68% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-exp: 20.0ms (69.8% of total)

ival-div: 3.0ms (10.5% of total)

ival-neg: 2.0ms (7% of total)

ival-sub: 2.0ms (7% of total)

backward-pass: 2.0ms (7% of total)

const: 0.0ms (0% of total)

series3.0ms (0%)

Counts

4 → 32

Calls

Call 1

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

12 calls:

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

rewrite203.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

51×	`add-exp-log`
51×	`add-log-exp`
51×	`log1p-expm1-u`
51×	`expm1-log1p-u`
49×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	44
1	118	44
2	1876	44

Stop Event

1×

unsound

Counts

4 → 30

Calls

Call 1

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

Outputs
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal -3 binary64)
#s(literal -1 binary64)
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
#s(literal 9 binary64)
#s(literal 27 binary64)
#s(literal -3 binary64)
#s(literal -1 binary64)
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
#s(literal 9 binary64)
#s(literal 27 binary64)
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)

simplify138.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

867×	`fma-define`
600×	`distribute-lft-neg-out`
595×	`unsub-neg`
430×	`distribute-rgt-neg-out`
380×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	67	612
1	169	552
2	425	552
3	1167	552
4	2336	552
5	2724	552
6	3172	552
7	4449	552
8	5062	552
9	5767	552

Stop Event

1×	node limit

Counts

62 → 54

Calls

Call 1

Inputs
(*.f64 #s(literal 2 binary64) x)
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/2520 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
#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 -2 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal -3 binary64)
#s(literal -1 binary64)
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
#s(literal 9 binary64)
#s(literal 27 binary64)
#s(literal -3 binary64)
#s(literal -1 binary64)
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
#s(literal 9 binary64)
#s(literal 27 binary64)
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)

Outputs
(*.f64 #s(literal 2 binary64) x)
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) x))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64))))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))))
(fma.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 5 binary64))))
(fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 #s(literal 2 binary64) x)))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/2520 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2520 binary64))))))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) (fma.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/2520 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64)))))
(fma.f64 #s(literal 2 binary64) x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 #s(literal 1/2520 binary64) (pow.f64 x #s(literal 7 binary64))))))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(+.f64 (neg.f64 x) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(exp.f64 (*.f64 #s(literal -1 binary64) x))
(exp.f64 (neg.f64 x))
(exp.f64 (*.f64 #s(literal -1 binary64) x))
(exp.f64 (neg.f64 x))
(exp.f64 (*.f64 #s(literal -1 binary64) x))
(exp.f64 (neg.f64 x))
(exp.f64 (*.f64 #s(literal -1 binary64) x))
(exp.f64 (neg.f64 x))
(*.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 -2 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal -3 binary64)
#s(literal -1 binary64)
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
#s(literal 9 binary64)
#s(literal 27 binary64)
#s(literal -3 binary64)
#s(literal -1 binary64)
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
#s(literal 9 binary64)
#s(literal 27 binary64)
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)

eval7.0ms (0.1%)

Compiler: Compiled 612 to 217 computations (64.5% saved)

prune11.0ms (0.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	47	7	54
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	47	8	55

Accuracy

100.0%

Counts

55 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	79.2%	(/.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
	56.0%	(/.f64 (-.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
✓	56.7%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
	79.2%	(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))
▶	49.6%	(/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
▶	4.1%	(/.f64 #s(literal 8 binary64) #s(literal 2 binary64))
▶	4.2%	(/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
▶	3.6%	(/.f64 #s(literal 0 binary64) #s(literal 2 binary64))

Compiler

Compiled 109 to 85 computations (22% saved)

simplify180.0ms (2.7%)

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) x)
✓	cost-diff	256	(/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
✓	cost-diff	128	(/.f64 #s(literal 8 binary64) #s(literal 2 binary64))
✓	cost-diff	128	(/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
✓	cost-diff	128	(/.f64 #s(literal 0 binary64) #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) x)
✓	cost-diff	0	(pow.f64 x #s(literal 3 binary64))
✓	cost-diff	0	(fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) x))
✓	cost-diff	256	(/.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))

Rules

2303×	`associate-/l*`
1084×	`associate-/l/`
463×	`associate-*r/`
455×	`fma-define`
425×	`associate-*l/`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	22	115
1	30	115
2	40	115
3	62	115
4	189	113
5	735	107
6	2611	103
7	3111	103
8	3426	103
9	3446	103
10	3446	103
11	4189	103
12	4208	103
13	4208	103
14	4732	103
15	4733	103

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
(fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) x))
#s(literal 1/3 binary64)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(/.f64 #s(literal 0 binary64) #s(literal 2 binary64))
#s(literal 0 binary64)
#s(literal 2 binary64)
(/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(/.f64 #s(literal 8 binary64) #s(literal 2 binary64))
#s(literal 8 binary64)
#s(literal 2 binary64)
(/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x

Outputs
(/.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(+.f64 x (.f64 #s(literal 1/3 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))))
(+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x)
(fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) x))
(fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x))
#s(literal 1/3 binary64)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 #s(literal 0 binary64) #s(literal 2 binary64))
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 2 binary64)
(/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(/.f64 #s(literal 8 binary64) #s(literal 2 binary64))
#s(literal 4 binary64)
#s(literal 8 binary64)
#s(literal 2 binary64)
(/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
x
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
x

localize75.0ms (1.1%)

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) x)
✓	accuracy	100.0%	(/.f64 #s(literal 8 binary64) #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 0 binary64) #s(literal 2 binary64))
✓	accuracy	100.0%	(pow.f64 x #s(literal 3 binary64))
✓	accuracy	100.0%	(/.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) x)
✓	accuracy	99.9%	(fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) x))

Results

52.0ms

256×

valid

Compiler

Compiled 57 to 17 computations (70.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-pow: 12.0ms (38.4% of total)

ival-div: 9.0ms (28.8% of total)

...c/correct-round.rkt:121:19: 4.0ms (12.8% of total)

ival-mult: 3.0ms (9.6% of total)

ival-add: 1.0ms (3.2% of total)

const: 1.0ms (3.2% of total)

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

series5.0ms (0.1%)

Counts

8 → 36

Calls

Call 1

Inputs
#<alt (/.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))>
#<alt (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) x))>
#<alt (pow.f64 x #s(literal 3 binary64))>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (/.f64 #s(literal 0 binary64) #s(literal 2 binary64))>
#<alt (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))>
#<alt (/.f64 #s(literal 8 binary64) #s(literal 2 binary64))>
#<alt (/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))>

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

Calls

15 calls:

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

rewrite110.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

593×	`unpow-prod-down`
541×	`log1p-expm1-u`
541×	`expm1-log1p-u`
474×	`pow1`
318×	`log-prod`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	99
1	157	87
2	1810	87

Stop Event

1×	node limit

Counts

8 → 234

Calls

Call 1

Inputs
(/.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
(fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) x))
(pow.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 2 binary64) x)
(/.f64 #s(literal 0 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 8 binary64) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))

Outputs
(+.f64 #s(literal 0 binary64) (.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 2 binary64)))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 2 binary64))))))))
(+.f64 (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 2 binary64))))))) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 2 binary64))))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 2 binary64))) (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 2 binary64))))
(.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))
(.f64 (cbrt.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(.f64 (sqrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 2 binary64)))) (.f64 (sqrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))
(.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(.f64 (neg.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 2 binary64)))) #s(literal -1/2 binary64))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
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(*.f64 (pow.f64 (pow.f64 x #s(literal 15/2 binary64)) #s(literal 1/3 binary64)) (sqrt.f64 x))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 x #s(literal -2 binary64))) #s(literal -2 binary64))
(sqrt.f64 (pow.f64 x #s(literal 6 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (pow.f64 x #s(literal 9 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 3 binary64))))
(exp.f64 (log.f64 (pow.f64 x #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 9 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3/2 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (log.f64 x))))
(exp.f64 (+.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) (.f64 (log.f64 x) #s(literal 1 binary64))))
(exp.f64 (+.f64 (.f64 #s(literal 3/2 binary64) (log.f64 x)) (.f64 (log.f64 x) #s(literal 3/2 binary64))))
(exp.f64 (+.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64)) (.f64 #s(literal 3/2 binary64) (log.f64 x))))
(exp.f64 (+.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64)) (.f64 (log.f64 x) #s(literal 3/2 binary64))))
(+.f64 x x)
(+.f64 #s(literal 0 binary64) (*.f64 x #s(literal 2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 4 binary64)
(+.f64 #s(literal 0 binary64) x)
(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 x))))
(-.f64 (exp.f64 (log1p.f64 x)) #s(literal 1 binary64))
(*.f64 x #s(literal 1 binary64))
(*.f64 x (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 x (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)))
(.f64 #s(literal 2 binary64) (.f64 x #s(literal 1/2 binary64)))
(.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(.f64 (.f64 x #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(.f64 (.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 2 binary64)))
(.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) x)
(.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (.f64 (cbrt.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x))
(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(.f64 (.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64))
(.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64))
(.f64 (.f64 x #s(literal 1/2 binary64)) (log.f64 (exp.f64 #s(literal 2 binary64))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (pow.f64 (.f64 (cbrt.f64 x) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 x)) (pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) x)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 x)) #s(literal 3 binary64)))
(.f64 (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 x #s(literal 1/2 binary64)))
(.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 x #s(literal 1/2 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 x (cbrt.f64 x)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 x)))
(.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))))
(.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal -1 binary64)) (cbrt.f64 x))
(pow.f64 x #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/9 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2/3 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))
(sqrt.f64 (pow.f64 x #s(literal 2 binary64)))
(log.f64 (exp.f64 x))
(cbrt.f64 (pow.f64 x #s(literal 3 binary64)))
x
(expm1.f64 (log1p.f64 x))
(log1p.f64 (expm1.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 x))) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) #s(literal 1/3 binary64)))

simplify286.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

556×	`exp-prod`
503×	`associate-l`
487×	`associate-r`
380×	`cancel-sign-sub-inv`
353×	`swap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	544	8589940903
1	1025	8589940279
2	4166	8589939925

Stop Event

1×	node limit

Counts

270 → 325

Calls

Call 1

Inputs
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (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)))))
(*.f64 (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)))))
(*.f64 (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)))))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (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)))))
(*.f64 (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)))))
(*.f64 (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)))))
(*.f64 #s(literal 2 binary64) x)
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
x
x
x
x
x
x
x
x
x
x
x
x
(+.f64 #s(literal 0 binary64) (.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 2 binary64)))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 2 binary64))))))))
(+.f64 (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 2 binary64))))))) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 2 binary64))))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 2 binary64))) (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 2 binary64))))
(.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))
(.f64 (cbrt.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(.f64 (sqrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 2 binary64)))) (.f64 (sqrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))
(.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(.f64 (neg.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 2 binary64)))) #s(literal -1/2 binary64))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
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(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 9 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3/2 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (log.f64 x))))
(exp.f64 (+.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) (.f64 (log.f64 x) #s(literal 1 binary64))))
(exp.f64 (+.f64 (.f64 #s(literal 3/2 binary64) (log.f64 x)) (.f64 (log.f64 x) #s(literal 3/2 binary64))))
(exp.f64 (+.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64)) (.f64 #s(literal 3/2 binary64) (log.f64 x))))
(exp.f64 (+.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64)) (.f64 (log.f64 x) #s(literal 3/2 binary64))))
(+.f64 x x)
(+.f64 #s(literal 0 binary64) (*.f64 x #s(literal 2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 4 binary64)
(+.f64 #s(literal 0 binary64) x)
(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 x))))
(-.f64 (exp.f64 (log1p.f64 x)) #s(literal 1 binary64))
(*.f64 x #s(literal 1 binary64))
(*.f64 x (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 x (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)))
(.f64 #s(literal 2 binary64) (.f64 x #s(literal 1/2 binary64)))
(.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(.f64 (.f64 x #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(.f64 (.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 2 binary64)))
(.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) x)
(.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (.f64 (cbrt.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x))
(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(.f64 (.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64))
(.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64))
(.f64 (.f64 x #s(literal 1/2 binary64)) (log.f64 (exp.f64 #s(literal 2 binary64))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (pow.f64 (.f64 (cbrt.f64 x) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 x)) (pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) x)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 x)) #s(literal 3 binary64)))
(.f64 (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 x #s(literal 1/2 binary64)))
(.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 x #s(literal 1/2 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 x (cbrt.f64 x)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 x)))
(.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))))
(.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal -1 binary64)) (cbrt.f64 x))
(pow.f64 x #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/9 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2/3 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))
(sqrt.f64 (pow.f64 x #s(literal 2 binary64)))
(log.f64 (exp.f64 x))
(cbrt.f64 (pow.f64 x #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 x))
(log1p.f64 (expm1.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 x))) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) #s(literal 1/3 binary64)))

Outputs
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 x (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 x (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 x (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (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)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 x (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 (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)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 x (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 (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)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 x (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (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)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 x (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 (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)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 x (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 (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)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 x (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))))
(fma.f64 x #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) (*.f64 x #s(literal 2 binary64)))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))))
(fma.f64 x #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) (*.f64 x #s(literal 2 binary64)))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))))
(fma.f64 x #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))))
(fma.f64 x #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) (*.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))))
(fma.f64 x #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) (*.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))))
(fma.f64 x #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))))
(fma.f64 x #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) (*.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))))
(fma.f64 x #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) (*.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))))
(fma.f64 x #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) (*.f64 x #s(literal 2 binary64)))
x
x
x
x
x
x
x
x
x
x
x
x
(+.f64 #s(literal 0 binary64) (.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 x (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 2 binary64)))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 2 binary64))))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (fma.f64 x #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (fma.f64 x #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))))
(+.f64 (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 2 binary64))))))) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 2 binary64))))))))
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(.f64 (pow.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/2 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 9 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 9 binary64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 x #s(literal 9 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 x #s(literal 9 binary64)))))
(*.f64 (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 7 binary64))))
(*.f64 (pow.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x #s(literal 8 binary64))))
(*.f64 (pow.f64 (pow.f64 x #s(literal 15/2 binary64)) #s(literal 1/3 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 x #s(literal 15/2 binary64))))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x))
(pow.f64 x #s(literal 3 binary64))
(/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 x #s(literal 3 binary64))
(/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 x #s(literal -2 binary64))) #s(literal -2 binary64))
(pow.f64 x #s(literal 3 binary64))
(sqrt.f64 (pow.f64 x #s(literal 6 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))))
(pow.f64 x #s(literal 3 binary64))
(cbrt.f64 (pow.f64 x #s(literal 9 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 3 binary64))))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (log.f64 (pow.f64 x #s(literal 3 binary64))))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3/2 binary64)))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 9 binary64))) #s(literal 1/3 binary64)))
(cbrt.f64 (pow.f64 x #s(literal 9 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3/2 binary64) (log.f64 x)) #s(literal 2 binary64)))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (.f64 (.f64 (log.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (+.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (log.f64 x))))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (+.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) (.f64 (log.f64 x) #s(literal 1 binary64))))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (+.f64 (.f64 #s(literal 3/2 binary64) (log.f64 x)) (.f64 (log.f64 x) #s(literal 3/2 binary64))))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (+.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64)) (.f64 #s(literal 3/2 binary64) (log.f64 x))))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (+.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64)) (.f64 (log.f64 x) #s(literal 3/2 binary64))))
(pow.f64 x #s(literal 3 binary64))
(+.f64 x x)
(*.f64 x #s(literal 2 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 2 binary64))))
(pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))
(*.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))
(fabs.f64 (*.f64 x #s(literal -2 binary64)))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 1/3 binary64))
(*.f64 x #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(*.f64 x #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))
(fabs.f64 (*.f64 x #s(literal -2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)))
(*.f64 x #s(literal 2 binary64))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))))
(*.f64 x #s(literal 2 binary64))
(exp.f64 (log.f64 (*.f64 x #s(literal 2 binary64))))
(*.f64 x #s(literal 2 binary64))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 x #s(literal 2 binary64))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)))
(*.f64 x #s(literal 2 binary64))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1/3 binary64)))
(*.f64 x #s(literal 2 binary64))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 x #s(literal 2 binary64))
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 4 binary64)
(+.f64 #s(literal 0 binary64) x)
x
(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64)))
x
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 x))))
(-.f64 (exp.f64 (log1p.f64 x)) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 x))
(*.f64 x #s(literal 1 binary64))
x
(*.f64 x (log.f64 (exp.f64 #s(literal 1 binary64))))
x
(*.f64 x (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)))
x
(.f64 #s(literal 2 binary64) (.f64 x #s(literal 1/2 binary64)))
x
(.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
x
(.f64 (.f64 x #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))
x
(.f64 (.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))
x
(.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 2 binary64)))
x
(.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)))
x
(*.f64 #s(literal 1 binary64) x)
x
(.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (.f64 (cbrt.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (cbrt.f64 (.f64 x #s(literal 2 binary64)))) (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))))
(.f64 (cbrt.f64 (.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))))
(.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(.f64 (/.f64 (cbrt.f64 (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))))
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
x
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x))
x
(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
x
(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
x
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
x
(.f64 (.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64))
x
(.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64))
x
(.f64 (.f64 x #s(literal 1/2 binary64)) (log.f64 (exp.f64 #s(literal 2 binary64))))
x
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (pow.f64 (.f64 (cbrt.f64 x) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 x))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (.f64 x (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 7 binary64))))
(*.f64 (cbrt.f64 (sqrt.f64 x)) (pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal 5/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 3/2 binary64)))
x
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) x)
x
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 x)) #s(literal 3 binary64)))
x
(.f64 (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 x #s(literal 1/2 binary64)))
x
(.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 x #s(literal 1/2 binary64)))
x
(.f64 (pow.f64 (pow.f64 (.f64 x (cbrt.f64 x)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 x)))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (cbrt.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 8 binary64))) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal 5/2 binary64))))
(.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))))
(.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))))
(.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))
(.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))))
(.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 x))
x
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal -1 binary64)) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))
(/.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(pow.f64 x #s(literal 1 binary64))
x
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
x
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
x
(pow.f64 (cbrt.f64 x) #s(literal 3 binary64))
x
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64))
x
(pow.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/9 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
x
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
x
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2/3 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))
x
(neg.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))
x
(sqrt.f64 (pow.f64 x #s(literal 2 binary64)))
x
(log.f64 (exp.f64 x))
x
(cbrt.f64 (pow.f64 x #s(literal 3 binary64)))
x
(expm1.f64 (log1p.f64 x))
(log1p.f64 (expm1.f64 x))
x
(exp.f64 (log.f64 x))
x
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
x
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 x))) #s(literal 3/2 binary64)))
x
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/3 binary64)))
x
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) #s(literal 3 binary64)))
x
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 2 binary64)))
x
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64)))
x
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))
x
(exp.f64 (.f64 (.f64 (log.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) #s(literal 1/3 binary64)))
x

eval139.0ms (2.1%)

Compiler: Compiled 4895 to 1085 computations (77.8% saved)

prune39.0ms (0.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	344	3	347
Fresh	1	1	2
Picked	5	0	5
Done	0	1	1
Total	350	5	355

Accuracy

100.0%

Counts

355 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.0%	(/.f64 (-.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
✓	56.7%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
▶	79.2%	(+.f64 x (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
▶	35.3%	(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
▶	49.6%	x

Compiler

Compiled 34 to 26 computations (23.5% saved)

simplify148.0ms (2.3%)

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) x)
	cost-diff	0	(exp.f64 x)
✓	cost-diff	128	(-.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))
✓	cost-diff	128	(/.f64 (-.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
✓	cost-diff	-6272	(+.f64 x (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
	cost-diff	0	(pow.f64 x #s(literal 3 binary64))
✓	cost-diff	0	(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
	cost-diff	0	(pow.f64 x #s(literal 3 binary64))
✓	cost-diff	0	(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))

Rules

459×	`fmm-def`
440×	`fma-define`
122×	`distribute-rgt-in`
86×	`distribute-lft-in`
79×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	169
1	36	153
2	67	153
3	136	153
4	336	153
5	931	153
6	1787	153
7	2155	153
8	2426	153
9	2540	153
10	2575	153
11	2575	153

Stop Event

1×

saturated

Calls

Call 1

Inputs
x
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
#s(literal 1/6 binary64)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(+.f64 x (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
x
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
#s(literal 1/6 binary64)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(/.f64 (-.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 2 binary64)

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

localize86.0ms (1.3%)

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 (-.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
	accuracy	100.0%	(exp.f64 x)
✓	accuracy	56.7%	(-.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))
	accuracy	100.0%	(pow.f64 x #s(literal 3 binary64))
✓	accuracy	100.0%	(+.f64 x (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
✓	accuracy	99.8%	(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
	accuracy	100.0%	(pow.f64 x #s(literal 3 binary64))
✓	accuracy	99.8%	(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))

Results

44.0ms	118×	1	valid
22.0ms	138×	0	valid

Compiler

Compiled 54 to 13 computations (75.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-exp: 7.0ms (20.3% of total)

ival-pow: 7.0ms (20.3% of total)

ival-sub: 4.0ms (11.6% of total)

...c/correct-round.rkt:121:19: 4.0ms (11.6% of total)

backward-pass: 4.0ms (11.6% of total)

ival-div: 3.0ms (8.7% of total)

ival-mult: 3.0ms (8.7% of total)

ival-add: 2.0ms (5.8% of total)

const: 1.0ms (2.9% of total)

series4.0ms (0.1%)

Counts

5 → 48

Calls

Call 1

Inputs
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (+.f64 x (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))>
#<alt (/.f64 (-.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))>
#<alt (-.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))>
#<alt (-.f64 #s(literal 1 binary64) x)>

Outputs
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 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 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (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 (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 (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 (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 (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 x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) x)))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) x)))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/48 binary64) x)))))))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x))))>
#<alt (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x))))>
#<alt (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x))))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x)))>
#<alt (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))>
#<alt (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) x)))))))>
#<alt x>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) x)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) x)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) x)) (/.f64 #s(literal 1 binary64) x)))>
#<alt x>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)) #s(literal 1 binary64))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))>

Calls

15 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(* 1/6 (pow x 3))
0.0ms	x	@	inf	(/ (- (exp x) (- 1 x)) 2)
0.0ms	x	@	-inf	(/ (- (exp x) (- 1 x)) 2)
0.0ms	x	@	-inf	(* 1/6 (pow x 3))
0.0ms	x	@	0	(/ (- (exp x) (- 1 x)) 2)

rewrite142.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1170×	`log1p-expm1-u`
1170×	`expm1-log1p-u`
521×	`fma-define`
266×	`fmm-def`
95×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	103
1	220	87
2	3118	87

Stop Event

1×	node limit

Counts

5 → 228

Calls

Call 1

Inputs
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(+.f64 x (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (-.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(-.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (cbrt.f64 #s(literal 1/6 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 1/6 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/36 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/36 binary64)) (-.f64 x (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(*.f64 (cbrt.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)) (sqrt.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))
(.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1/216 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x) (pow.f64 x #s(literal 2 binary64))) (fma.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1/216 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/36 binary64)))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1/216 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1/216 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/36 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/36 binary64))) (-.f64 x (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1/216 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/36 binary64)))) (neg.f64 (-.f64 x (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/36 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x))
(pow.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))
(exp.f64 (log.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 x (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x)
(fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x)
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 1/6 binary64)) x)
(fma.f64 (.f64 x (cbrt.f64 #s(literal 1/6 binary64))) (pow.f64 (.f64 x (cbrt.f64 #s(literal 1/6 binary64))) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (.f64 x (cbrt.f64 #s(literal 1/6 binary64))) #s(literal 2 binary64)) (.f64 x (cbrt.f64 #s(literal 1/6 binary64))) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 1/6 binary64))) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 1/6 binary64))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/6 binary64)) x)
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) (pow.f64 x #s(literal 2 binary64)) x)
(fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) x x)
(fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) x)
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64)))))
(-.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x (expm1.f64 x)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (+.f64 x (expm1.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 x (expm1.f64 x)) #s(literal 1/2 binary64))
(.f64 (.f64 (+.f64 x (expm1.f64 x)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 (cbrt.f64 (.f64 (+.f64 x (expm1.f64 x)) #s(literal 1/2 binary64))) (cbrt.f64 (*.f64 (pow.f64 (+.f64 x (expm1.f64 x)) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (+.f64 x (expm1.f64 x)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (*.f64 (+.f64 x (expm1.f64 x)) #s(literal 1/2 binary64))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 x (expm1.f64 x))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (+.f64 x (expm1.f64 x))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (expm1.f64 x))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (+.f64 x (expm1.f64 x))) #s(literal 2 binary64)))
(.f64 (sqrt.f64 (.f64 (+.f64 x (expm1.f64 x)) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (+.f64 x (expm1.f64 x)) #s(literal 1/2 binary64))))
(.f64 (sqrt.f64 (+.f64 x (expm1.f64 x))) (.f64 (sqrt.f64 (+.f64 x (expm1.f64 x))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (+.f64 x (expm1.f64 x))) (/.f64 (sqrt.f64 (+.f64 x (expm1.f64 x))) #s(literal 2 binary64)))
(*.f64 (neg.f64 (+.f64 x (expm1.f64 x))) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (expm1.f64 x)))
(pow.f64 (*.f64 (+.f64 x (expm1.f64 x)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
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(fma.f64 (+.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 x)) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (exp.f64 x)) #s(literal 1 binary64)) x)
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 x)) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (exp.f64 x)) #s(literal 1 binary64)) (neg.f64 (neg.f64 x)))
(fma.f64 (neg.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))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(+.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) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (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))

simplify339.0ms (5.1%)

Algorithm

1×	egg-herbie

Rules

823×	`times-frac`
400×	`fmm-def`
345×	`distribute-lft-neg-out`
286×	`distribute-lft-neg-in`
257×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	506	7836
1	1183	7098
2	3775	6852

Stop Event

1×	node limit

Counts

276 → 293

Calls

Call 1

Inputs
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (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)))))
(*.f64 (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)))))
(*.f64 (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)))))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (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)))))
(*.f64 (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)))))
(*.f64 (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)))))
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) x)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/48 binary64) x)))))))
(*.f64 #s(literal 1/2 binary64) x)
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x))))
(*.f64 #s(literal 1/2 binary64) x)
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) x)
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x)))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) x)))))))
x
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) x)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) x)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) x)) (/.f64 #s(literal 1 binary64) x)))
x
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)) #s(literal 1 binary64))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) x)
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (cbrt.f64 #s(literal 1/6 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 1/6 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/36 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/36 binary64)) (-.f64 x (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(*.f64 (cbrt.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)) (sqrt.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))
(.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1/216 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x) (pow.f64 x #s(literal 2 binary64))) (fma.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1/216 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/36 binary64)))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1/216 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1/216 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/36 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/36 binary64))) (-.f64 x (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1/216 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/36 binary64)))) (neg.f64 (-.f64 x (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/36 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x))
(pow.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))
(exp.f64 (log.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 x (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x)
(fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x)
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 1/6 binary64)) x)
(fma.f64 (.f64 x (cbrt.f64 #s(literal 1/6 binary64))) (pow.f64 (.f64 x (cbrt.f64 #s(literal 1/6 binary64))) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (.f64 x (cbrt.f64 #s(literal 1/6 binary64))) #s(literal 2 binary64)) (.f64 x (cbrt.f64 #s(literal 1/6 binary64))) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
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(fma.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 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))) (fma.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(fma.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 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) x)))
(fma.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 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (expm1.f64 x) #s(literal 1 binary64) x)
(fma.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (exp.f64 x))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x) (exp.f64 x))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)))) (cbrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (exp.f64 x))
(fma.f64 (*.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 (expm1.f64 x))) (cbrt.f64 (expm1.f64 x)) x)
(fma.f64 (*.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 (expm1.f64 x))) (cbrt.f64 (expm1.f64 x)) (neg.f64 (neg.f64 x)))
(fma.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (exp.f64 x))
(fma.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)) x)
(fma.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)) (neg.f64 (neg.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 x)) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (exp.f64 x)) #s(literal 1 binary64)) x)
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 x)) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (exp.f64 x)) #s(literal 1 binary64)) (neg.f64 (neg.f64 x)))
(fma.f64 (neg.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))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(+.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) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (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))

Outputs
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (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)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 (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)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 (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)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (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)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 (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)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 (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)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/4 binary64))))
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) x)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/12 binary64))))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/48 binary64) x)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x #s(literal 1/48 binary64))))))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (expm1.f64 x) x))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (expm1.f64 x) x) #s(literal 1/2 binary64)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (expm1.f64 x) x))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (expm1.f64 x) x) #s(literal 1/2 binary64)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (expm1.f64 x) x))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (expm1.f64 x) x) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (expm1.f64 x) x))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (expm1.f64 x) x) #s(literal 1/2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (expm1.f64 x) x))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (expm1.f64 x) x) #s(literal 1/2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (expm1.f64 x) x))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (expm1.f64 x) x) #s(literal 1/2 binary64)))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x)))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 x #s(literal 1/2 binary64))))
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #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 2 binary64)))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) x)))))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
x
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) x)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 x) x)))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) x)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 x) x)))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) x)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 x) x)))
x
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 x) x)))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 x) x)))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 x) x)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) x)
(+.f64 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 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 x #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal -1 binary64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1 binary64))
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(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (expm1.f64 x)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(fma.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 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))) (fma.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) 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 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (pow.f64 (+.f64 x (expm1.f64 x)) #s(literal 2 binary64)) (+.f64 x (expm1.f64 x)))
(fma.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 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) 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 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (pow.f64 (+.f64 x (expm1.f64 x)) #s(literal 2 binary64)) (+.f64 x (expm1.f64 x)))
(fma.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 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) 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 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (pow.f64 (+.f64 x (expm1.f64 x)) #s(literal 2 binary64)) (+.f64 x (expm1.f64 x)))
(fma.f64 (expm1.f64 x) #s(literal 1 binary64) x)
(+.f64 x (expm1.f64 x))
(fma.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (exp.f64 x))
(+.f64 x (expm1.f64 x))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x) (exp.f64 x))
(+.f64 x (expm1.f64 x))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)))) (cbrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (exp.f64 x))
(+.f64 x (expm1.f64 x))
(fma.f64 (*.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 (expm1.f64 x))) (cbrt.f64 (expm1.f64 x)) x)
(+.f64 x (expm1.f64 x))
(fma.f64 (*.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 (expm1.f64 x))) (cbrt.f64 (expm1.f64 x)) (neg.f64 (neg.f64 x)))
(+.f64 x (expm1.f64 x))
(fma.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (exp.f64 x))
(+.f64 x (expm1.f64 x))
(fma.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)) x)
(+.f64 x (expm1.f64 x))
(fma.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)) (neg.f64 (neg.f64 x)))
(+.f64 x (expm1.f64 x))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(+.f64 x (expm1.f64 x))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) x)))
(+.f64 x (expm1.f64 x))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)))
(+.f64 x (expm1.f64 x))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 x)) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (exp.f64 x)) #s(literal 1 binary64)) x)
(+.f64 x (expm1.f64 x))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 x)) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (exp.f64 x)) #s(literal 1 binary64)) (neg.f64 (neg.f64 x)))
(+.f64 x (expm1.f64 x))
(fma.f64 (neg.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))
(+.f64 x (expm1.f64 x))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
(-.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal -1 binary64))
(+.f64 (neg.f64 x) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) x)
(+.f64 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 #s(literal 1 binary64) x)
(+.f64 x #s(literal -1 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 #s(literal 1 binary64) x)
(+.f64 x #s(literal -1 binary64))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal -1 binary64))
(*.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 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #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 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 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) x))
(/.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 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #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 3 binary64))) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 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 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) x))
(/.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 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #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 x #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 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) x))
(/.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 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #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 3 binary64))) (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 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) x))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (neg.f64 x))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #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 3 binary64))) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.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 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) x))
(pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
(-.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal -1 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(-.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(-.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(-.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal -1 binary64))
(log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal -1 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal -1 binary64))
(cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))
(-.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal -1 binary64))
(expm1.f64 (log1p.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(log1p.f64 (expm1.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal -1 binary64))
(exp.f64 (log1p.f64 (neg.f64 x)))
(-.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal -1 binary64))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 x)) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) x)
(+.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))
(-.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal -1 binary64))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) x)
(+.f64 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))
(-.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) x)
(+.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))
(-.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal -1 binary64))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal -1 binary64))

eval108.0ms (1.6%)

Compiler: Compiled 6228 to 1245 computations (80% saved)

prune161.0ms (2.4%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	472	5	477
Fresh	0	0	0
Picked	2	2	4
Done	0	1	1
Total	474	8	482

Accuracy

100.0%

Counts

482 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	6.4%	(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
✓	56.7%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
▶	55.6%	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))
✓	79.2%	(+.f64 x (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
▶	85.1%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x #s(literal 1/48 binary64))))))))
▶	78.5%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/12 binary64))))))
▶	70.7%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/4 binary64))))
✓	49.6%	x

Compiler

Compiled 125 to 94 computations (24.8% saved)

simplify70.0ms (1.1%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(exp.f64 x)
✓	cost-diff	128	(-.f64 (exp.f64 x) #s(literal 1 binary64))
✓	cost-diff	128	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))
✓	cost-diff	-12544	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/12 binary64))))))
✓	cost-diff	-6272	(+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/12 binary64)))
✓	cost-diff	-6272	(.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 1/12 binary64))))
✓	cost-diff	0	(*.f64 x #s(literal 1/12 binary64))
	cost-diff	0	(-.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(+.f64 x #s(literal 1 binary64))
✓	cost-diff	256	(-.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
✓	cost-diff	512	(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
✓	cost-diff	-6272	(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64)))
✓	cost-diff	-6272	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/4 binary64))))
✓	cost-diff	0	(*.f64 x #s(literal 1/4 binary64))
✓	cost-diff	-12544	(.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x #s(literal 1/48 binary64))))))
✓	cost-diff	-6272	(+.f64 #s(literal 1/12 binary64) (*.f64 x #s(literal 1/48 binary64)))
✓	cost-diff	-6272	(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x #s(literal 1/48 binary64))))
✓	cost-diff	0	(*.f64 x #s(literal 1/48 binary64))

Rules

719×	`sub-neg`
373×	`fma-define`
347×	`neg-sub0`
306×	`distribute-lft-neg-out`
280×	`neg-mul-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	33	508
1	102	422
2	244	416
3	585	413
4	2126	413
5	6046	413

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x #s(literal 1/48 binary64))))))))
x
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x #s(literal 1/48 binary64)))))))
#s(literal 1 binary64)
(.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x #s(literal 1/48 binary64))))))
(+.f64 #s(literal 1/4 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x #s(literal 1/48 binary64)))))
#s(literal 1/4 binary64)
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x #s(literal 1/48 binary64))))
(+.f64 #s(literal 1/12 binary64) (*.f64 x #s(literal 1/48 binary64)))
#s(literal 1/12 binary64)
(*.f64 x #s(literal 1/48 binary64))
#s(literal 1/48 binary64)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/4 binary64))))
x
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64)))
#s(literal 1 binary64)
(*.f64 x #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(-.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)
#s(literal 2 binary64)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/12 binary64))))))
x
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 1/12 binary64)))))
#s(literal 1 binary64)
(.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 1/12 binary64))))
(+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/12 binary64)))
#s(literal 1/4 binary64)
(*.f64 x #s(literal 1/12 binary64))
#s(literal 1/12 binary64)
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(exp.f64 x)
x
#s(literal 1 binary64)
#s(literal 2 binary64)

Outputs
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x #s(literal 1/48 binary64))))))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
x
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x #s(literal 1/48 binary64)))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x #s(literal 1/48 binary64))))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)))
(+.f64 #s(literal 1/4 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x #s(literal 1/48 binary64)))))
(fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x #s(literal 1/48 binary64))))
(*.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)))
(+.f64 #s(literal 1/12 binary64) (*.f64 x #s(literal 1/48 binary64)))
(fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64))
#s(literal 1/12 binary64)
(*.f64 x #s(literal 1/48 binary64))
#s(literal 1/48 binary64)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/4 binary64))))
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)))
x
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64)))
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 x #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
x
(-.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(+.f64 x (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(+.f64 x (+.f64 #s(literal 0 binary64) x))
(+.f64 x x)
(*.f64 x #s(literal 2 binary64))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)
#s(literal 2 binary64)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/12 binary64))))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
x
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 1/12 binary64)))))
(fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 1/12 binary64))))
(*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/4 binary64)))
(+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/12 binary64)))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(*.f64 x #s(literal 1/12 binary64))
#s(literal 1/12 binary64)
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (expm1.f64 x) #s(literal 2 binary64))
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(expm1.f64 x)
(exp.f64 x)
x
#s(literal 1 binary64)
#s(literal 2 binary64)

localize252.0ms (3.8%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))
	accuracy	100.0%	(exp.f64 x)
✓	accuracy	56.7%	(-.f64 (exp.f64 x) #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/12 binary64)))
✓	accuracy	99.9%	(.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 1/12 binary64))))
✓	accuracy	99.9%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/12 binary64))))))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/12 binary64))
✓	accuracy	100.0%	(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	56.7%	(-.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/4 binary64))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/4 binary64))))
✓	accuracy	99.9%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x #s(literal 1/48 binary64))))))))
✓	accuracy	99.9%	(.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x #s(literal 1/48 binary64))))))
✓	accuracy	99.7%	(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x #s(literal 1/48 binary64))))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/48 binary64))

Results

128.0ms	138×	0	valid
80.0ms	118×	1	valid

Compiler

Compiled 167 to 29 computations (82.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 159.0ms

...c/correct-round.rkt:121:19: 79.0ms (49.8% of total)

ival-mult: 24.0ms (15.1% of total)

ival-add: 17.0ms (10.7% of total)

ival-div: 13.0ms (8.2% of total)

ival-sub: 10.0ms (6.3% of total)

backward-pass: 8.0ms (5% of total)

ival-exp: 7.0ms (4.4% of total)

const: 1.0ms (0.6% of total)

series19.0ms (0.3%)

Counts

17 → 196

Calls

Call 1

Inputs
#<alt (*.f64 x #s(literal 1/48 binary64))>
#<alt (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x #s(literal 1/48 binary64))))>
#<alt (+.f64 #s(literal 1/12 binary64) (*.f64 x #s(literal 1/48 binary64)))>
#<alt (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x #s(literal 1/48 binary64))))))>
#<alt (*.f64 x #s(literal 1/4 binary64))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/4 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))>
#<alt (-.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))>
#<alt (+.f64 x #s(literal 1 binary64))>
#<alt (*.f64 x #s(literal 1/12 binary64))>
#<alt (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 1/12 binary64))))>
#<alt (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/12 binary64)))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/12 binary64))))))>
#<alt (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))>
#<alt (-.f64 (exp.f64 x) #s(literal 1 binary64))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x #s(literal 1/48 binary64))))))))>

Outputs
#<alt (*.f64 #s(literal 1/48 binary64) x)>
#<alt (*.f64 #s(literal 1/48 binary64) x)>
#<alt (*.f64 #s(literal 1/48 binary64) x)>
#<alt (*.f64 #s(literal 1/48 binary64) x)>
#<alt (*.f64 #s(literal 1/48 binary64) x)>
#<alt (*.f64 #s(literal 1/48 binary64) x)>
#<alt (*.f64 #s(literal 1/48 binary64) x)>
#<alt (*.f64 #s(literal 1/48 binary64) x)>
#<alt (*.f64 #s(literal 1/48 binary64) x)>
#<alt (*.f64 #s(literal 1/48 binary64) x)>
#<alt (*.f64 #s(literal 1/48 binary64) x)>
#<alt (*.f64 #s(literal 1/48 binary64) x)>
#<alt (*.f64 #s(literal 1/12 binary64) x)>
#<alt (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/48 binary64) x)))>
#<alt (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/48 binary64) x)))>
#<alt (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/48 binary64) x)))>
#<alt (*.f64 #s(literal 1/48 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/48 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/48 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/48 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal 1/48 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/48 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/48 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/48 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt #s(literal 1/12 binary64)>
#<alt (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/48 binary64) x))>
#<alt (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/48 binary64) x))>
#<alt (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/48 binary64) x))>
#<alt (*.f64 #s(literal 1/48 binary64) x)>
#<alt (.f64 x (+.f64 #s(literal 1/48 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 x (+.f64 #s(literal 1/48 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 x (+.f64 #s(literal 1/48 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal 1/48 binary64) x)>
#<alt (.f64 x (+.f64 #s(literal 1/48 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 x (+.f64 #s(literal 1/48 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 x (+.f64 #s(literal 1/48 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal 1/4 binary64) x)>
#<alt (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) x)))>
#<alt (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/48 binary64) x)))))>
#<alt (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/48 binary64) x)))))>
#<alt (*.f64 #s(literal 1/48 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/48 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/48 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/48 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal 1/48 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/48 binary64) (.f64 #s(literal 1/12 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 1/12 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 1/48 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 1/12 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 1/48 binary64))))>
#<alt (*.f64 #s(literal 1/4 binary64) x)>
#<alt (*.f64 #s(literal 1/4 binary64) x)>
#<alt (*.f64 #s(literal 1/4 binary64) x)>
#<alt (*.f64 #s(literal 1/4 binary64) x)>
#<alt (*.f64 #s(literal 1/4 binary64) x)>
#<alt (*.f64 #s(literal 1/4 binary64) x)>
#<alt (*.f64 #s(literal 1/4 binary64) x)>
#<alt (*.f64 #s(literal 1/4 binary64) x)>
#<alt (*.f64 #s(literal 1/4 binary64) x)>
#<alt (*.f64 #s(literal 1/4 binary64) x)>
#<alt (*.f64 #s(literal 1/4 binary64) x)>
#<alt (*.f64 #s(literal 1/4 binary64) x)>
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) x)))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) x)))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) x)))>
#<alt (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) x))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) x))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) x))>
#<alt (*.f64 #s(literal 1/4 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 1/4 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) x)>
#<alt (+.f64 #s(literal 1 binary64) x)>
#<alt (+.f64 #s(literal 1 binary64) x)>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 1/12 binary64) x)>
#<alt (*.f64 #s(literal 1/12 binary64) x)>
#<alt (*.f64 #s(literal 1/12 binary64) x)>
#<alt (*.f64 #s(literal 1/12 binary64) x)>
#<alt (*.f64 #s(literal 1/12 binary64) x)>
#<alt (*.f64 #s(literal 1/12 binary64) x)>
#<alt (*.f64 #s(literal 1/12 binary64) x)>
#<alt (*.f64 #s(literal 1/12 binary64) x)>
#<alt (*.f64 #s(literal 1/12 binary64) x)>
#<alt (*.f64 #s(literal 1/12 binary64) x)>
#<alt (*.f64 #s(literal 1/12 binary64) x)>
#<alt (*.f64 #s(literal 1/12 binary64) x)>
#<alt (*.f64 #s(literal 1/4 binary64) x)>
#<alt (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) x)))>
#<alt (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) x)))>
#<alt (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) x)))>
#<alt (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt #s(literal 1/4 binary64)>
#<alt (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) x))>
#<alt (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) x))>
#<alt (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) x))>
#<alt (*.f64 #s(literal 1/12 binary64) x)>
#<alt (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal 1/12 binary64) x)>
#<alt (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) x)))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) x)))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) x)))))>
#<alt (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/12 binary64) (+.f64 (.f64 #s(literal 1/4 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 1/12 binary64) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/4 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 1/4 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/12 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 1/4 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/12 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) x)))>
#<alt (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) x)))))>
#<alt (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/48 binary64) x)))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) #s(literal 1 binary64)))>
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) x)))))))>
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) x)))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) x)))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/48 binary64) x)))))))>
#<alt (*.f64 #s(literal 1/48 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/48 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/48 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/48 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))))>
#<alt (*.f64 #s(literal 1/48 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/48 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/48 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/48 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/12 binary64)) x))))>

Calls

51 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(+ x 1)
1.0ms	x	@	inf	(* x (+ 1/12 (* x 1/48)))
1.0ms	x	@	inf	(* x (+ 1/4 (* x 1/12)))
0.0ms	x	@	-inf	(* x (+ 1/4 (* x 1/12)))
0.0ms	x	@	-inf	(* x (+ 1/12 (* x 1/48)))

rewrite149.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

292×	`log1p-expm1-u`
292×	`expm1-log1p-u`
283×	`add-cube-cbrt`
282×	`add-exp-log`
282×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	376
1	624	285

Stop Event

1×	node limit

Counts

17 → 460

Calls

Call 1

Inputs
(*.f64 x #s(literal 1/48 binary64))
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x #s(literal 1/48 binary64))))
(+.f64 #s(literal 1/12 binary64) (*.f64 x #s(literal 1/48 binary64)))
(.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x #s(literal 1/48 binary64))))))
(*.f64 x #s(literal 1/4 binary64))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/4 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64)))
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(-.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(+.f64 x #s(literal 1 binary64))
(*.f64 x #s(literal 1/12 binary64))
(.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 1/12 binary64))))
(+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/12 binary64)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/12 binary64))))))
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x #s(literal 1/48 binary64))))))))

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal 1/48 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x #s(literal 1/48 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/48 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/110592 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 1/48 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2304 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/48 binary64)) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 1/48 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/110592 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 1/48 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal 1/48 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal 1/48 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 1/48 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 x #s(literal 1/12 binary64)) (.f64 x (*.f64 x #s(literal 1/48 binary64))))
(+.f64 (.f64 x #s(literal 1/12 binary64)) (.f64 (*.f64 x #s(literal 1/48 binary64)) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (.f64 #s(literal 1/1728 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (.f64 x (.f64 x #s(literal 1/48 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/144 binary64)) (-.f64 (.f64 (.f64 x (.f64 x #s(literal 1/48 binary64))) (.f64 x (.f64 x #s(literal 1/48 binary64)))) (.f64 (.f64 x #s(literal 1/12 binary64)) (.f64 x (*.f64 x #s(literal 1/48 binary64)))))))
(/.f64 (+.f64 (.f64 #s(literal 1/1728 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (.f64 (.f64 x #s(literal 1/48 binary64)) x) #s(literal 3 binary64))) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/144 binary64)) (-.f64 (.f64 (.f64 (.f64 x #s(literal 1/48 binary64)) x) (.f64 (.f64 x #s(literal 1/48 binary64)) x)) (.f64 (.f64 x #s(literal 1/12 binary64)) (.f64 (*.f64 x #s(literal 1/48 binary64)) x)))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/144 binary64)) (.f64 (.f64 x (.f64 x #s(literal 1/48 binary64))) (.f64 x (.f64 x #s(literal 1/48 binary64))))) (-.f64 (.f64 x #s(literal 1/12 binary64)) (.f64 x (*.f64 x #s(literal 1/48 binary64)))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/144 binary64)) (.f64 (.f64 (.f64 x #s(literal 1/48 binary64)) x) (.f64 (.f64 x #s(literal 1/48 binary64)) x))) (-.f64 (.f64 x #s(literal 1/12 binary64)) (.f64 (*.f64 x #s(literal 1/48 binary64)) x)))
(pow.f64 (*.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)))) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/48 binary64))))
(fma.f64 x #s(literal 1/12 binary64) (.f64 (.f64 x #s(literal 1/48 binary64)) x))
(fma.f64 #s(literal 1/12 binary64) x (.f64 x (.f64 x #s(literal 1/48 binary64))))
(fma.f64 #s(literal 1/12 binary64) x (.f64 (.f64 x #s(literal 1/48 binary64)) x))
(fma.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/12 binary64)) (.f64 x (*.f64 x #s(literal 1/48 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/12 binary64)) (.f64 (*.f64 x #s(literal 1/48 binary64)) x))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/144 binary64))) (cbrt.f64 (.f64 x #s(literal 1/12 binary64))) (.f64 x (.f64 x #s(literal 1/48 binary64))))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/144 binary64))) (cbrt.f64 (.f64 x #s(literal 1/12 binary64))) (.f64 (.f64 x #s(literal 1/48 binary64)) x))
(fma.f64 (sqrt.f64 (.f64 x #s(literal 1/12 binary64))) (sqrt.f64 (.f64 x #s(literal 1/12 binary64))) (.f64 x (.f64 x #s(literal 1/48 binary64))))
(fma.f64 (sqrt.f64 (.f64 x #s(literal 1/12 binary64))) (sqrt.f64 (.f64 x #s(literal 1/12 binary64))) (.f64 (.f64 x #s(literal 1/48 binary64)) x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1/144 binary64) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/48 binary64) x))) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2304 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/48 binary64) x))))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64))))
(*.f64 (sqrt.f64 (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64))) (sqrt.f64 (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64))))
(.f64 (+.f64 #s(literal 1/1728 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/110592 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/144 binary64) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2304 binary64)) (.f64 #s(literal -1/12 binary64) (*.f64 x #s(literal 1/48 binary64)))))))
(.f64 (-.f64 #s(literal 1/144 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2304 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/48 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/144 binary64) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2304 binary64)) (.f64 #s(literal -1/12 binary64) (.f64 x #s(literal 1/48 binary64))))) (+.f64 #s(literal 1/1728 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/110592 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/48 binary64) x)) (-.f64 #s(literal 1/144 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2304 binary64)))))
(/.f64 (+.f64 #s(literal 1/1728 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/110592 binary64))) (+.f64 #s(literal 1/144 binary64) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2304 binary64)) (.f64 #s(literal -1/12 binary64) (.f64 x #s(literal 1/48 binary64))))))
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(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64))) x) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64))) x) (.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64))) x)) (.f64 x (.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64))) x)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)))) (.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64))))) (.f64 x (.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64))))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64))) x) (.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64))) x))) (-.f64 x (.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64))) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)))) (.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)))))) (-.f64 x (.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64))))))
(pow.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 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 (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)))))
(fma.f64 #s(literal 1 binary64) x (.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64))) x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64))) x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64))) x))

simplify345.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

657×	`distribute-lft-in`
636×	`distribute-rgt-in`
597×	`fma-define`
258×	`cancel-sign-sub-inv`
187×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1103	6635
1	2886	6635

Stop Event

1×	node limit

Counts

656 → 511

Calls

Call 1

Inputs
(*.f64 #s(literal 1/48 binary64) x)
(*.f64 #s(literal 1/48 binary64) x)
(*.f64 #s(literal 1/48 binary64) x)
(*.f64 #s(literal 1/48 binary64) x)
(*.f64 #s(literal 1/48 binary64) x)
(*.f64 #s(literal 1/48 binary64) x)
(*.f64 #s(literal 1/48 binary64) x)
(*.f64 #s(literal 1/48 binary64) x)
(*.f64 #s(literal 1/48 binary64) x)
(*.f64 #s(literal 1/48 binary64) x)
(*.f64 #s(literal 1/48 binary64) x)
(*.f64 #s(literal 1/48 binary64) x)
(*.f64 #s(literal 1/12 binary64) x)
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/48 binary64) x)))
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/48 binary64) x)))
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/48 binary64) x)))
(*.f64 #s(literal 1/48 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/48 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/48 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/48 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/48 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/48 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/48 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/48 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(literal 1/12 binary64)
(+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/48 binary64) x))
(+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/48 binary64) x))
(+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/48 binary64) x))
(*.f64 #s(literal 1/48 binary64) x)
(.f64 x (+.f64 #s(literal 1/48 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 x (+.f64 #s(literal 1/48 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 x (+.f64 #s(literal 1/48 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/48 binary64) x)
(.f64 x (+.f64 #s(literal 1/48 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 x (+.f64 #s(literal 1/48 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 x (+.f64 #s(literal 1/48 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/4 binary64) x)
(.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) x)))
(.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/48 binary64) x)))))
(.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/48 binary64) x)))))
(*.f64 #s(literal 1/48 binary64) (pow.f64 x #s(literal 3 binary64)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/48 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/48 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x)))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/48 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 1/48 binary64) (pow.f64 x #s(literal 3 binary64)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/48 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 1/48 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 1/48 binary64))))
(*.f64 #s(literal 1/4 binary64) x)
(*.f64 #s(literal 1/4 binary64) x)
(*.f64 #s(literal 1/4 binary64) x)
(*.f64 #s(literal 1/4 binary64) x)
(*.f64 #s(literal 1/4 binary64) x)
(*.f64 #s(literal 1/4 binary64) x)
(*.f64 #s(literal 1/4 binary64) x)
(*.f64 #s(literal 1/4 binary64) x)
(*.f64 #s(literal 1/4 binary64) x)
(*.f64 #s(literal 1/4 binary64) x)
(*.f64 #s(literal 1/4 binary64) x)
(*.f64 #s(literal 1/4 binary64) x)
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) x)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) x))
(*.f64 #s(literal 1/4 binary64) x)
(*.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/4 binary64) x)
(*.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))
x
x
x
x
x
x
x
x
x
x
x
x
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) x)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/12 binary64) x)
(*.f64 #s(literal 1/12 binary64) x)
(*.f64 #s(literal 1/12 binary64) x)
(*.f64 #s(literal 1/12 binary64) x)
(*.f64 #s(literal 1/12 binary64) x)
(*.f64 #s(literal 1/12 binary64) x)
(*.f64 #s(literal 1/12 binary64) x)
(*.f64 #s(literal 1/12 binary64) x)
(*.f64 #s(literal 1/12 binary64) x)
(*.f64 #s(literal 1/12 binary64) x)
(*.f64 #s(literal 1/12 binary64) x)
(*.f64 #s(literal 1/12 binary64) x)
(*.f64 #s(literal 1/4 binary64) x)
(.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) x)))
(.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) x)))
(.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) x)))
(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(literal 1/4 binary64)
(+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) x))
(+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) x))
(+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) x))
(*.f64 #s(literal 1/12 binary64) x)
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/12 binary64) x)
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x))))
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) x)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) x)))))
(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 3 binary64)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/12 binary64) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/12 binary64) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 3 binary64)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/12 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/12 binary64))))
(*.f64 #s(literal 1/2 binary64) x)
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) x)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/48 binary64) x)))))))
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(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/4 binary64))) x) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/4 binary64))) x) (.f64 (.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/4 binary64))) x)) (.f64 x (.f64 (.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/4 binary64))) x)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 x (.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/4 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (.f64 x (.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/4 binary64)))) (.f64 x (.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/4 binary64))))) (.f64 x (.f64 x (.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/4 binary64))))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (.f64 (.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/4 binary64))) x) (.f64 (.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/4 binary64))) x))) (-.f64 x (.f64 (*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/4 binary64))) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (.f64 x (.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/4 binary64)))) (.f64 x (.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/4 binary64)))))) (-.f64 x (.f64 x (*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/4 binary64))))))
(pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/4 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 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/4 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 1/12 binary64) #s(literal 1/4 binary64)))))
(fma.f64 #s(literal 1 binary64) x (.f64 (.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/4 binary64))) x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (.f64 (.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/4 binary64))) x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 (.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/4 binary64))) x))
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))
(-.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (expm1.f64 x) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (expm1.f64 x) #s(literal 1/2 binary64)))
(*.f64 (expm1.f64 x) #s(literal 1/2 binary64))
(.f64 (pow.f64 (cbrt.f64 (.f64 (expm1.f64 x) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (expm1.f64 x) #s(literal 1/2 binary64))))
(.f64 (sqrt.f64 (.f64 (expm1.f64 x) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (expm1.f64 x) #s(literal 1/2 binary64))))
(*.f64 (neg.f64 (expm1.f64 x)) #s(literal -1/2 binary64))
(pow.f64 (*.f64 (expm1.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (expm1.f64 x) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (expm1.f64 x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (expm1.f64 x) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (expm1.f64 x)) #s(literal -1 binary64))
(sqrt.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (sqrt.f64 (exp.f64 (expm1.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (expm1.f64 x) #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (expm1.f64 x) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (expm1.f64 x) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (expm1.f64 x) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 (expm1.f64 x) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (expm1.f64 x) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(+.f64 (exp.f64 x) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (expm1.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (expm1.f64 x)))
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)))
(.f64 (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 x)))))
(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(*.f64 (+.f64 (sqrt.f64 (exp.f64 x)) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (exp.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 x))) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (+.f64 x x))))
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (exp.f64 x) #s(literal -1 binary64)))))
(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 x)))))
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(pow.f64 (expm1.f64 x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (expm1.f64 x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (expm1.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)))
(expm1.f64 x)
(log1p.f64 (expm1.f64 (expm1.f64 x)))
(exp.f64 (log.f64 (expm1.f64 x)))
(exp.f64 (*.f64 (log.f64 (expm1.f64 x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (exp.f64 x)) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) #s(literal -1 binary64))
(+.f64 x (.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)))))
(+.f64 x (.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64))) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64))) x) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64))) x) (.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64))) x)) (.f64 x (.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64))) x)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)))) (.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64))))) (.f64 x (.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64))))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64))) x) (.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64))) x))) (-.f64 x (.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64))) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)))) (.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)))))) (-.f64 x (.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64))))))
(pow.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 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 (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)))))
(fma.f64 #s(literal 1 binary64) x (.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64))) x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64))) x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64))) x))

Outputs
(*.f64 #s(literal 1/48 binary64) x)
(*.f64 #s(literal 1/48 binary64) x)
(*.f64 #s(literal 1/48 binary64) x)
(*.f64 #s(literal 1/48 binary64) x)
(*.f64 #s(literal 1/48 binary64) x)
(*.f64 #s(literal 1/48 binary64) x)
(*.f64 #s(literal 1/48 binary64) x)
(*.f64 #s(literal 1/48 binary64) x)
(*.f64 #s(literal 1/48 binary64) x)
(*.f64 #s(literal 1/48 binary64) x)
(*.f64 #s(literal 1/48 binary64) x)
(*.f64 #s(literal 1/48 binary64) x)
(*.f64 #s(literal 1/12 binary64) x)
(*.f64 #s(literal 1/48 binary64) x)
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/48 binary64) x)))
(*.f64 #s(literal 1/48 binary64) x)
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/48 binary64) x)))
(*.f64 #s(literal 1/48 binary64) x)
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/48 binary64) x)))
(*.f64 #s(literal 1/48 binary64) x)
(*.f64 #s(literal 1/48 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/48 binary64) x)
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/48 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/48 binary64) x)
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/48 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/48 binary64) x)
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/48 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/48 binary64) x)
(*.f64 #s(literal 1/48 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/48 binary64) x)
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/48 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/48 binary64) x)
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/48 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/48 binary64) x)
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/48 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/48 binary64) x)
#s(literal 1/12 binary64)
(*.f64 #s(literal 1/48 binary64) x)
(+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/48 binary64) x))
(*.f64 #s(literal 1/48 binary64) x)
(+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/48 binary64) x))
(*.f64 #s(literal 1/48 binary64) x)
(+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/48 binary64) x))
(*.f64 #s(literal 1/48 binary64) x)
(*.f64 #s(literal 1/48 binary64) x)
(.f64 x (+.f64 #s(literal 1/48 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x))))
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(.f64 (pow.f64 (cbrt.f64 (.f64 (expm1.f64 x) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (expm1.f64 x) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/48 binary64) x)
(.f64 (sqrt.f64 (.f64 (expm1.f64 x) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (expm1.f64 x) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/48 binary64) x)
(*.f64 (neg.f64 (expm1.f64 x)) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/48 binary64) x)
(pow.f64 (*.f64 (expm1.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/48 binary64) x)
(pow.f64 (cbrt.f64 (*.f64 (expm1.f64 x) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(*.f64 #s(literal 1/48 binary64) x)
(pow.f64 (pow.f64 (*.f64 (expm1.f64 x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/48 binary64) x)
(pow.f64 (sqrt.f64 (*.f64 (expm1.f64 x) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal 1/48 binary64) x)
(pow.f64 (/.f64 #s(literal 2 binary64) (expm1.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal 1/48 binary64) x)
(sqrt.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1/48 binary64) x)
(log.f64 (sqrt.f64 (exp.f64 (expm1.f64 x))))
(*.f64 #s(literal 1/48 binary64) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (expm1.f64 x) #s(literal 1/2 binary64)))))
(*.f64 #s(literal 1/48 binary64) x)
(cbrt.f64 (pow.f64 (*.f64 (expm1.f64 x) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(*.f64 #s(literal 1/48 binary64) x)
(expm1.f64 (log1p.f64 (*.f64 (expm1.f64 x) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/48 binary64) x)
(log1p.f64 (expm1.f64 (*.f64 (expm1.f64 x) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/48 binary64) x)
(exp.f64 (log.f64 (*.f64 (expm1.f64 x) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/48 binary64) x)
(exp.f64 (.f64 (log.f64 (.f64 (expm1.f64 x) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/48 binary64) x)
(+.f64 (exp.f64 x) #s(literal -1 binary64))
(*.f64 #s(literal 1/48 binary64) x)
(*.f64 #s(literal 1 binary64) (expm1.f64 x))
(*.f64 #s(literal 1/48 binary64) x)
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (expm1.f64 x)))
(*.f64 #s(literal 1/48 binary64) x)
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)))
(*.f64 #s(literal 1/48 binary64) x)
(.f64 (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 x)))))
(*.f64 #s(literal 1/48 binary64) x)
(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(*.f64 #s(literal 1/48 binary64) x)
(*.f64 (+.f64 (sqrt.f64 (exp.f64 x)) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (exp.f64 x)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/48 binary64) x)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 x))) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))))
(*.f64 #s(literal 1/48 binary64) x)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (+.f64 x x))))
(*.f64 #s(literal 1/48 binary64) x)
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(*.f64 #s(literal 1/48 binary64) x)
(/.f64 (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (exp.f64 x) #s(literal -1 binary64)))))
(*.f64 #s(literal 1/48 binary64) x)
(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(*.f64 #s(literal 1/48 binary64) x)
(/.f64 (expm1.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(*.f64 #s(literal 1/48 binary64) x)
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 x)))))
(*.f64 #s(literal 1/48 binary64) x)
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(*.f64 #s(literal 1/48 binary64) x)
(pow.f64 (expm1.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1/48 binary64) x)
(pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal 3 binary64))
(*.f64 #s(literal 1/48 binary64) x)
(pow.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/48 binary64) x)
(pow.f64 (sqrt.f64 (expm1.f64 x)) #s(literal 2 binary64))
(*.f64 #s(literal 1/48 binary64) x)
(sqrt.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))
(*.f64 #s(literal 1/48 binary64) x)
(log.f64 (exp.f64 (expm1.f64 x)))
(*.f64 #s(literal 1/48 binary64) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (expm1.f64 x))))
(*.f64 #s(literal 1/48 binary64) x)
(cbrt.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)))
(*.f64 #s(literal 1/48 binary64) x)
(expm1.f64 x)
(*.f64 #s(literal 1/48 binary64) x)
(log1p.f64 (expm1.f64 (expm1.f64 x)))
(*.f64 #s(literal 1/48 binary64) x)
(exp.f64 (log.f64 (expm1.f64 x)))
(*.f64 #s(literal 1/48 binary64) x)
(exp.f64 (*.f64 (log.f64 (expm1.f64 x)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/48 binary64) x)
(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal -1 binary64))
(*.f64 #s(literal 1/48 binary64) x)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (exp.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal 1/48 binary64) x)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal 1/48 binary64) x)
(+.f64 x (.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)))))
(*.f64 #s(literal 1/48 binary64) x)
(+.f64 x (.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64))) x))
(*.f64 #s(literal 1/48 binary64) x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1/48 binary64) x)
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64))) x) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64))) x) (.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64))) x)) (.f64 x (.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64))) x)))))
(*.f64 #s(literal 1/48 binary64) x)
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)))) (.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64))))) (.f64 x (.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64))))))))
(*.f64 #s(literal 1/48 binary64) x)
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64))) x) (.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64))) x))) (-.f64 x (.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64))) x)))
(*.f64 #s(literal 1/48 binary64) x)
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)))) (.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)))))) (-.f64 x (.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64))))))
(*.f64 #s(literal 1/48 binary64) x)
(pow.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1/48 binary64) x)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64))
(*.f64 #s(literal 1/48 binary64) x)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/48 binary64) x)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(*.f64 #s(literal 1/48 binary64) x)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/48 binary64) x)
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))))
(*.f64 #s(literal 1/48 binary64) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))))))
(*.f64 #s(literal 1/48 binary64) x)
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)))
(*.f64 #s(literal 1/48 binary64) x)
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))))
(*.f64 #s(literal 1/48 binary64) x)
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal 1/48 binary64) x)
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(literal 1/48 binary64) x)
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(literal 1/48 binary64) x)
(exp.f64 (log.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(literal 1/48 binary64) x)
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/48 binary64) x)
(fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)))))
(*.f64 #s(literal 1/48 binary64) x)
(fma.f64 #s(literal 1 binary64) x (.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64))) x))
(*.f64 #s(literal 1/48 binary64) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64))) x))
(*.f64 #s(literal 1/48 binary64) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64))) x))
(*.f64 #s(literal 1/48 binary64) x)

eval173.0ms (2.6%)

Compiler: Compiled 8656 to 2189 computations (74.7% saved)

prune127.0ms (1.9%)

Pruning

11 alts after pruning (5 fresh and 6 done)

	Pruned	Kept	Total
New	570	5	575
Fresh	0	0	0
Picked	2	3	5
Done	0	3	3
Total	572	11	583

Accuracy

100.0%

Counts

583 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	56.7%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
	61.4%	(/.f64 (expm1.f64 x) #s(literal 2 binary64))
	6.4%	(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
✓	79.2%	(+.f64 x (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
	78.5%	(.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 1/4 binary64)) (.f64 (.f64 x #s(literal 1/12 binary64)) x))))
	85.1%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (+.f64 (.f64 x #s(literal 1/12 binary64)) (.f64 (*.f64 x #s(literal 1/48 binary64)) x))))))
✓	85.1%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x #s(literal 1/48 binary64))))))))
	85.1%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x)))))))))
✓	78.5%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/12 binary64))))))
✓	70.7%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/4 binary64))))
✓	49.6%	x

Compiler

Compiled 289 to 163 computations (43.6% saved)

regimes19.0ms (0.3%)

Counts

21 → 2

Calls

Call 1

Inputs
x
(/.f64 #s(literal 0 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 8 binary64) #s(literal 2 binary64))
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/4 binary64))))
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/12 binary64))))))
(.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 1/4 binary64)) (.f64 (.f64 x #s(literal 1/12 binary64)) x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x #s(literal 1/48 binary64))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (+.f64 (.f64 x #s(literal 1/12 binary64)) (.f64 (*.f64 x #s(literal 1/48 binary64)) x))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x)))))))))
(/.f64 (expm1.f64 x) #s(literal 2 binary64))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))
(+.f64 x (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (-.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))

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

Calls

3 calls:

6.0ms	x
6.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
5.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes8.0ms (0.1%)

Counts

19 → 2

Calls

Call 1

Inputs
x
(/.f64 #s(literal 0 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 8 binary64) #s(literal 2 binary64))
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/4 binary64))))
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/12 binary64))))))
(.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 1/4 binary64)) (.f64 (.f64 x #s(literal 1/12 binary64)) x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x #s(literal 1/48 binary64))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (+.f64 (.f64 x #s(literal 1/12 binary64)) (.f64 (*.f64 x #s(literal 1/48 binary64)) x))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x)))))))))
(/.f64 (expm1.f64 x) #s(literal 2 binary64))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))
(+.f64 x (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (-.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))

Outputs
(+.f64 x (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (expm1.f64 x) #s(literal 2 binary64))

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
99.6%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

Counts

16 → 2

Calls

Call 1

Inputs
x
(/.f64 #s(literal 0 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 8 binary64) #s(literal 2 binary64))
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/4 binary64))))
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/12 binary64))))))
(.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 1/4 binary64)) (.f64 (.f64 x #s(literal 1/12 binary64)) x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x #s(literal 1/48 binary64))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (+.f64 (.f64 x #s(literal 1/12 binary64)) (.f64 (*.f64 x #s(literal 1/48 binary64)) x))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x)))))))))
(/.f64 (expm1.f64 x) #s(literal 2 binary64))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))

Outputs
x
(/.f64 (expm1.f64 x) #s(literal 2 binary64))

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
99.3%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

Counts

13 → 1

Calls

Call 1

Inputs
x
(/.f64 #s(literal 0 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 8 binary64) #s(literal 2 binary64))
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/4 binary64))))
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/12 binary64))))))
(.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 1/4 binary64)) (.f64 (.f64 x #s(literal 1/12 binary64)) x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x #s(literal 1/48 binary64))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (+.f64 (.f64 x #s(literal 1/12 binary64)) (.f64 (*.f64 x #s(literal 1/48 binary64)) x))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x)))))))))

Outputs
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x #s(literal 1/48 binary64))))))))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
85.1%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0.1%)

Counts

10 → 1

Calls

Call 1

Inputs
x
(/.f64 #s(literal 0 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 8 binary64) #s(literal 2 binary64))
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/4 binary64))))
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/12 binary64))))))
(.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 1/4 binary64)) (.f64 (.f64 x #s(literal 1/12 binary64)) x))))

Outputs
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/12 binary64))))))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
78.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0.1%)

Counts

8 → 1

Calls

Call 1

Inputs
x
(/.f64 #s(literal 0 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 8 binary64) #s(literal 2 binary64))
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/4 binary64))))
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))

Outputs
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/4 binary64))))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
70.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes8.0ms (0.1%)

Accuracy

Total -30.0b remaining (-93.1%)

Threshold costs -30b (-93.1%)

Counts

6 → 1

Calls

Call 1

Inputs
x
(/.f64 #s(literal 0 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 8 binary64) #s(literal 2 binary64))
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))

Outputs
x

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
49.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0004649673507548524	0.23084977539025409

Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch12.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	0.11517011308111706	15.28120260700809

Results

7.0ms

112×

valid

Compiler

Compiled 118 to 94 computations (20.3% saved)

Precisions

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

ival-exp: 2.0ms (46.4% of total)

ival-sub: 1.0ms (23.2% of total)

ival-div: 1.0ms (23.2% of total)

ival-neg: 1.0ms (23.2% 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	0.11517011308111706	15.28120260700809

Results

7.0ms

112×

valid

Compiler

Compiled 76 to 59 computations (22.4% saved)

Precisions

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

ival-exp: 2.0ms (46.7% of total)

ival-sub: 1.0ms (23.4% of total)

ival-div: 1.0ms (23.4% of total)

ival-neg: 1.0ms (23.4% of total)

const: 0.0ms (0% of total)

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

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	294
1	77	294
2	82	294
3	85	294
4	86	294

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1152921504606847/2305843009213693952 binary64)) (+.f64 x (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)))
(if (<=.f64 x #s(literal 4728779608739021/2251799813685248 binary64)) (+.f64 x (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (expm1.f64 x) #s(literal 2 binary64)))
(if (<=.f64 x #s(literal 5/4 binary64)) x (/.f64 (expm1.f64 x) #s(literal 2 binary64)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x #s(literal 1/48 binary64))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/12 binary64))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/4 binary64))))
x

Outputs
(if (<=.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1152921504606847/2305843009213693952 binary64)) (+.f64 x (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)))
(if (<=.f64 x #s(literal 4728779608739021/2251799813685248 binary64)) (+.f64 x (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (expm1.f64 x) #s(literal 2 binary64)))
(if (<=.f64 x #s(literal 5/4 binary64)) x (/.f64 (expm1.f64 x) #s(literal 2 binary64)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x #s(literal 1/48 binary64))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/12 binary64))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/4 binary64))))
x

soundness682.0ms (10.4%)

Rules

867×	`fma-define`
823×	`times-frac`
600×	`distribute-lft-neg-out`
595×	`unsub-neg`
556×	`exp-prod`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	506	7836
1	1183	7098
2	3775	6852
0	544	8589940903
1	1025	8589940279
2	4166	8589939925
0	67	612
1	169	552
2	425	552
3	1167	552
4	2336	552
5	2724	552
6	3172	552
7	4449	552
8	5062	552
9	5767	552
0	33	376
1	624	285

Stop Event

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

Compiler

Compiled 329 to 161 computations (51.1% saved)

preprocess50.0ms (0.8%)

Compiler: Compiled 284 to 158 computations (44.4% saved)

Iter	Nodes	Cost
0	12	89
1	23	89
2	43	89
3	72	89
4	119	89
5	187	89
6	276	89
7	421	87
8	541	87
9	587	87
10	592	87

Iter	Nodes	Cost
0	12	89
1	23	89
2	43	89
3	72	89
4	119	89
5	187	89
6	276	89
7	421	87
8	541	87
9	587	87
10	592	87

analyze0.0ms (0%)

sample1.6s (25%)

preprocess63.0ms (1%)

explain511.0ms (7.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify34.0ms (0.5%)

localize192.0ms (2.9%)

series3.0ms (0%)

rewrite203.0ms (3.1%)

simplify138.0ms (2.1%)

eval7.0ms (0.1%)

prune11.0ms (0.2%)

simplify180.0ms (2.7%)

localize75.0ms (1.1%)

series5.0ms (0.1%)

rewrite110.0ms (1.7%)

simplify286.0ms (4.3%)

eval139.0ms (2.1%)

prune39.0ms (0.6%)

simplify148.0ms (2.3%)

localize86.0ms (1.3%)

series4.0ms (0.1%)

rewrite142.0ms (2.2%)

simplify339.0ms (5.1%)

eval108.0ms (1.6%)

prune161.0ms (2.4%)

simplify70.0ms (1.1%)

localize252.0ms (3.8%)

series19.0ms (0.3%)

rewrite149.0ms (2.3%)

simplify345.0ms (5.2%)

eval173.0ms (2.6%)

prune127.0ms (1.9%)

regimes19.0ms (0.3%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

regimes8.0ms (0.1%)

bsearch0.0ms (0%)

bsearch12.0ms (0.2%)

bsearch13.0ms (0.2%)

simplify6.0ms (0.1%)

soundness682.0ms (10.4%)

preprocess50.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	12	89
1	23	89
2	43	89
3	72	89
4	119	89
5	187	89
6	276	89
7	421	87
8	541	87
9	587	87
10	592	87