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)

sample2.0s (29%)

Results

1.2s	4030×	1	valid
402.0ms	4226×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.3s

ival-exp: 875.0ms (66.4% of total)

ival-div: 126.0ms (9.6% of total)

ival-neg: 108.0ms (8.2% of total)

backward-pass: 105.0ms (8% of total)

ival-sub: 91.0ms (6.9% of total)

const: 12.0ms (0.9% of total)

Bogosity

preprocess127.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

96×	`fma-define`
95×	`fma-neg`
27×	`sub-neg`
23×	`distribute-neg-frac`
20×	`div-sub`

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)

explain206.0ms (3%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
127	-	-	`(-.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

107.0ms	248×	1	valid
22.0ms	264×	0	valid

Compiler

Compiled 59 to 23 computations (61% saved)

Precisions

Click to see histograms. Total time spent on operations: 98.0ms

ival-exp: 79.0ms (80.6% of total)

ival-div: 6.0ms (6.1% of total)

ival-sub: 5.0ms (5.1% of total)

ival-neg: 4.0ms (4.1% of total)

backward-pass: 4.0ms (4.1% of total)

const: 1.0ms (1% 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
▶	54.1%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify32.0ms (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×	`fma-neg`
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)

localize200.0ms (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	54.1%	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

90.0ms	124×	1	valid
9.0ms	132×	0	valid

Compiler

Compiled 25 to 8 computations (68% saved)

Precisions

Click to see histograms. Total time spent on operations: 85.0ms

ival-neg: 60.0ms (70.3% of total)

ival-exp: 18.0ms (21.1% of total)

ival-div: 3.0ms (3.5% of total)

ival-sub: 2.0ms (2.3% of total)

backward-pass: 2.0ms (2.3% of total)

const: 0.0ms (0% of total)

series4.0ms (0.1%)

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	@	0	(exp (neg x))

rewrite205.0ms (3%)

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%)

Algorithm

1×	egg-herbie

Rules

867×	`fma-define`
627×	`distribute-lft-neg-out`
605×	`unsub-neg`
430×	`distribute-rgt-neg-out`
382×	`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	4456	552
8	5061	552
9	5767	552

Stop Event

1×	node limit

Counts

62 → 53

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)))))
(-.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)

eval6.0ms (0.1%)

Compiler: Compiled 592 to 210 computations (64.5% saved)

prune18.0ms (0.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	46	7	53
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	8	54

Accuracy

100.0%

Counts

54 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	83.8%	(/.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))
	53.7%	(/.f64 (-.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
✓	54.1%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
	83.8%	(/.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))
▶	52.1%	(/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
▶	4.2%	(/.f64 #s(literal 8 binary64) #s(literal 2 binary64))
▶	4.2%	(/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
▶	3.4%	(/.f64 #s(literal 0 binary64) #s(literal 2 binary64))

Compiler

Compiled 109 to 85 computations (22% saved)

simplify184.0ms (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

localize141.0ms (2.1%)

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

120.0ms

256×

valid

Compiler

Compiled 55 to 16 computations (70.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-div: 8.0ms (35.1% of total)

ival-pow: 5.0ms (21.9% of total)

...c/correct-round.rkt:121:19: 4.0ms (17.5% of total)

ival-fma: 3.0ms (13.2% of total)

ival-mult: 2.0ms (8.8% of total)

const: 1.0ms (4.4% of total)

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

series16.0ms (0.2%)

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)
0.0ms	x	@	0	(* 2 x)
0.0ms	x	@	-inf	(pow x 3)
0.0ms	x	@	-inf	(* 2 x)

rewrite131.0ms (1.9%)

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)))
(.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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(/.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)))

simplify136.0ms (2%)

Algorithm

1×	egg-herbie

Rules

556×	`exp-prod`
503×	`associate-l`
487×	`associate-r`
380×	`cancel-sign-sub-inv`
354×	`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

eval45.0ms (0.7%)

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

prune107.0ms (1.6%)

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
▶	53.7%	(/.f64 (-.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
✓	54.1%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
▶	83.8%	(+.f64 x (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
▶	37.3%	(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
▶	52.1%	x

Compiler

Compiled 34 to 26 computations (23.5% saved)

simplify95.0ms (1.4%)

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

458×	`fma-neg`
440×	`fma-define`
122×	`distribute-rgt-in`
85×	`distribute-lft-in`
82×	`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	968	153
6	1822	153
7	2190	153
8	2461	153
9	2575	153
10	2610	153
11	2610	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)

localize85.0ms (1.2%)

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	54.1%	(-.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

43.0ms	125×	1	valid
22.0ms	131×	0	valid

Compiler

Compiled 54 to 13 computations (75.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-pow: 10.0ms (26% of total)

ival-exp: 7.0ms (18.2% of total)

backward-pass: 5.0ms (13% of total)

ival-sub: 4.0ms (10.4% of total)

...c/correct-round.rkt:121:19: 4.0ms (10.4% of total)

ival-div: 3.0ms (7.8% of total)

ival-mult: 3.0ms (7.8% of total)

ival-add: 2.0ms (5.2% of total)

const: 1.0ms (2.6% of total)

series8.0ms (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
1.0ms	x	@	-inf	(+ x (* 1/6 (pow x 3)))
0.0ms	x	@	-inf	(/ (- (exp x) (- 1 x)) 2)
0.0ms	x	@	inf	(* 1/6 (pow x 3))
0.0ms	x	@	inf	(/ (- (exp x) (- 1 x)) 2)
0.0ms	x	@	-inf	(* 1/6 (pow x 3))

rewrite147.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1170×	`log1p-expm1-u`
1170×	`expm1-log1p-u`
521×	`fma-define`
266×	`fma-neg`
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))

simplify132.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

821×	`times-frac`
375×	`fma-neg`
369×	`cancel-sign-sub-inv`
284×	`distribute-lft-neg-in`
256×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	506	7914
1	1168	7122
2	3734	6876

Stop Event

1×	node limit

Counts

276 → 297

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

eval57.0ms (0.8%)

Compiler: Compiled 6274 to 1255 computations (80% saved)

prune117.0ms (1.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	477	4	481
Fresh	0	0	0
Picked	2	2	4
Done	0	1	1
Total	479	7	486

Accuracy

100.0%

Counts

486 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	54.1%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
▶	53.2%	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))
✓	83.8%	(+.f64 x (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
▶	89.0%	(.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))))))))
▶	83.2%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/12 binary64))))))
▶	73.5%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/4 binary64))))
✓	52.1%	x

Compiler

Compiled 62 to 47 computations (24.2% saved)

simplify47.0ms (0.7%)

Algorithm

1×	egg-herbie

Localize:

Found 14 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 1/4 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))
✓	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	-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))

Rules

715×	`fma-define`
114×	`distribute-lft-in`
91×	`distribute-rgt-in`
88×	`associate-r`
59×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	453
1	86	373
2	200	373
3	456	373
4	915	373
5	1267	373
6	1381	373
7	1382	373

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.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 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 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 (-.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 #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 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 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 (-.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)

localize200.0ms (2.9%)

Localize:

Found 14 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	54.1%	(-.f64 (exp.f64 x) #s(literal 1 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))
✓	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 binary64) (.f64 x (+.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	99.5%	(*.f64 x #s(literal 1/12 binary64))
✓	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))))

Results

129.0ms	125×	1	valid
35.0ms	131×	0	valid

Compiler

Compiled 142 to 25 computations (82.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

ival-mult: 26.0ms (33.2% of total)

ival-sub: 12.0ms (15.3% of total)

ival-add: 11.0ms (14% of total)

...c/correct-round.rkt:121:19: 11.0ms (14% of total)

ival-exp: 7.0ms (8.9% of total)

backward-pass: 7.0ms (8.9% of total)

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

const: 1.0ms (1.3% of total)

series131.0ms (1.9%)

Counts

14 → 160

Calls

Call 1

Inputs
#<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 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 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 (-.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 1/4 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 (*.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 1/48 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 1/2 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

42 calls:

Time	Variable		Point	Expression
110.0ms	x	@	inf	(* x (+ 1 (* x 1/4)))
1.0ms	x	@	-inf	(* x (+ 1/12 (* x 1/48)))
0.0ms	x	@	-inf	(* x (+ 1/4 (* x 1/12)))
0.0ms	x	@	-inf	(* x (+ 1 (* x 1/4)))
0.0ms	x	@	inf	(* x (+ 1/12 (* x 1/48)))

rewrite276.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

424×	`log1p-expm1-u`
240×	`associate-r`
230×	`expm1-log1p-u`
225×	`add-cube-cbrt`
224×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	310
1	505	258
2	7696	258

Stop Event

1×	node limit

Counts

14 → 368

Calls

Call 1

Inputs
(*.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 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 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 (-.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 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/4 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/16 binary64)))
(log.f64 (pow.f64 (exp.f64 x) #s(literal 1/4 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 1/4 binary64)))))
(cbrt.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 1/4 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal 1/4 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal 1/4 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 1/4 binary64))) #s(literal 1 binary64)))
(+.f64 x (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 x (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x #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 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 x (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))))) (-.f64 x (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/16 binary64)) (.f64 x #s(literal 1/4 binary64)))))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/16 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 3 binary64)))) x) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/16 binary64)) (.f64 x #s(literal 1/4 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/16 binary64))) x) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))))
(pow.f64 (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x #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 #s(literal 1/4 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x #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 #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x #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 #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/4 binary64)))) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/16 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64)))))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)))
(*.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/16 binary64)) (.f64 x #s(literal 1/4 binary64))))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/16 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/16 binary64)) (.f64 x #s(literal 1/4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/16 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/16 binary64)) (*.f64 x #s(literal 1/4 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/16 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/16 binary64))) (-.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/16 binary64)) (*.f64 x #s(literal 1/4 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/16 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/4 binary64)))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/16 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(pow.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))))
(exp.f64 (log1p.f64 (*.f64 x #s(literal 1/4 binary64))))
(exp.f64 (.f64 (log1p.f64 (.f64 x #s(literal 1/4 binary64))) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x #s(literal 1/4 binary64))) #s(literal 1 binary64))
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(*.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 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (exp.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 (pow.f64 (exp.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 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.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 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(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 (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 2 binary64))))
(+.f64 x (.f64 (.f64 (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 2 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 (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 2 binary64))) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 x (.f64 (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 2 binary64))) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 2 binary64))))) (-.f64 x (.f64 (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (.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 #s(literal 1 binary64) (-.f64 (pow.f64 (.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 2 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 (.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (.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 2 binary64)))) (-.f64 #s(literal 1 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 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.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))) x) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.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 2 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 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.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 2 binary64))) x) (-.f64 #s(literal 1 binary64) (*.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 (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) x (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 2 binary64))))

simplify461.0ms (6.7%)

Algorithm

1×	egg-herbie

Rules

891×	`fma-neg`
469×	`associate-r`
420×	`associate-l`
392×	`fma-define`
338×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	854	14664
1	2021	13994
2	6856	13966

Stop Event

1×	node limit

Counts

528 → 564

Calls

Call 1

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

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

eval139.0ms (2%)

Compiler: Compiled 9413 to 2267 computations (75.9% saved)

prune81.0ms (1.2%)

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	576	3	579
Fresh	0	0	0
Picked	1	3	4
Done	0	3	3
Total	577	9	586

Accuracy

100.0%

Counts

586 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	54.1%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
	59.5%	(/.f64 (expm1.f64 x) #s(literal 2 binary64))
✓	83.8%	(+.f64 x (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
✓	89.0%	(.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))))))))
	89.0%	(.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)))))))))
✓	83.2%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/12 binary64))))))
✓	73.5%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/4 binary64))))
	73.4%	(.f64 x (.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x))))
✓	52.1%	x

Compiler

Compiled 226 to 132 computations (41.6% saved)

regimes28.0ms (0.4%)

Counts

18 → 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 #s(literal 2 binary64) x) #s(literal 2 binary64))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/4 binary64))))
(.f64 x (.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 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 (+.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 (.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:

18.0ms	x
4.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
4.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))

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)

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 #s(literal 2 binary64) x) #s(literal 2 binary64))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/4 binary64))))
(.f64 x (.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 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 (+.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 (.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:

5.0ms

Results

Accuracy	Segments	Branch
99.8%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0.1%)

Counts

13 → 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 #s(literal 2 binary64) x) #s(literal 2 binary64))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/4 binary64))))
(.f64 x (.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 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 (+.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 (.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:

4.0ms

Results

Accuracy	Segments	Branch
99.6%	2	`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 #s(literal 2 binary64) x) #s(literal 2 binary64))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/4 binary64))))
(.f64 x (.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 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 (+.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 (.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:

3.0ms

Results

Accuracy	Segments	Branch
89.0%	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 #s(literal 2 binary64) x) #s(literal 2 binary64))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/4 binary64))))
(.f64 x (.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/12 binary64))))))

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:

3.0ms

Results

Accuracy	Segments	Branch
83.2%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

7 → 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 #s(literal 2 binary64) x) #s(literal 2 binary64))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/4 binary64))))
(.f64 x (.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x))))

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
73.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Accuracy

Total -31.6b remaining (-103%)

Threshold costs -31.6b (-103%)

Counts

5 → 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 #s(literal 2 binary64) x) #s(literal 2 binary64))

Outputs
x

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
52.1%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch2.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
2.0ms	0.00019286286181841028	6045009.016558219

Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch15.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	9.643143075967633e-5	15.614743533602851

Results

9.0ms

144×

valid

Compiler

Compiled 148 to 118 computations (20.3% saved)

Precisions

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

ival-exp: 3.0ms (53.7% of total)

ival-sub: 1.0ms (17.9% of total)

ival-div: 1.0ms (17.9% of total)

ival-neg: 1.0ms (17.9% of total)

const: 0.0ms (0% of total)

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

bsearch17.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	9.643143075967633e-5	15.614743533602851

Results

11.0ms

144×

valid

Compiler

Compiled 94 to 73 computations (22.3% saved)

Precisions

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

ival-sub: 3.0ms (39.6% of total)

ival-exp: 3.0ms (39.6% of total)

ival-div: 1.0ms (13.2% of total)

ival-neg: 1.0ms (13.2% of total)

const: 0.0ms (0% of total)

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

simplify9.0ms (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 7378697629483821/36893488147419103232 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 2476979795053773/1125899906842624 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 5674535530486825/4503599627370496 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 7378697629483821/36893488147419103232 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 2476979795053773/1125899906842624 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 5674535530486825/4503599627370496 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

soundness1.0s (15.3%)

Rules

891×	`fma-neg`
867×	`fma-define`
821×	`times-frac`
627×	`distribute-lft-neg-out`
605×	`unsub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	854	14664
1	2021	13994
2	6856	13966
0	544	8589940903
1	1025	8589940279
2	4166	8589939925
0	29	310
1	505	258
2	7696	258
0	67	612
1	169	552
2	425	552
3	1167	552
4	2336	552
5	2724	552
6	3172	552
7	4456	552
8	5061	552
9	5767	552
0	506	7914
1	1168	7122
2	3734	6876

Stop Event

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

Compiler

Compiled 362 to 179 computations (50.6% saved)

preprocess44.0ms (0.6%)

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%)

sample2.0s (29%)

preprocess127.0ms (1.9%)

explain206.0ms (3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify32.0ms (0.5%)

localize200.0ms (2.9%)

series4.0ms (0.1%)

rewrite205.0ms (3%)

simplify138.0ms (2%)

eval6.0ms (0.1%)

prune18.0ms (0.3%)

simplify184.0ms (2.7%)

localize141.0ms (2.1%)

series16.0ms (0.2%)

rewrite131.0ms (1.9%)

simplify136.0ms (2%)

eval45.0ms (0.7%)

prune107.0ms (1.6%)

simplify95.0ms (1.4%)

localize85.0ms (1.2%)

series8.0ms (0.1%)

rewrite147.0ms (2.1%)

simplify132.0ms (1.9%)

eval57.0ms (0.8%)

prune117.0ms (1.7%)

simplify47.0ms (0.7%)

localize200.0ms (2.9%)

series131.0ms (1.9%)

rewrite276.0ms (4%)

simplify461.0ms (6.7%)

eval139.0ms (2%)

prune81.0ms (1.2%)

regimes28.0ms (0.4%)

regimes6.0ms (0.1%)

regimes7.0ms (0.1%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0%)

regimes3.0ms (0%)

bsearch2.0ms (0%)

bsearch15.0ms (0.2%)

bsearch17.0ms (0.3%)

simplify9.0ms (0.1%)

soundness1.0s (15.3%)

preprocess44.0ms (0.6%)

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