Metrics for Hyperbolic sine

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 10 to 8 computations (20% saved)

Precisions

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

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

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

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

const: 0.0ms (0% of total)

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

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

sample1.6s (20.6%)

Results

1.1s	3982×	1	valid
233.0ms	4274×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 960.0ms

ival-exp: 654.0ms (68.1% of total)

ival-div: 99.0ms (10.3% of total)

ival-sub: 72.0ms (7.5% of total)

ival-neg: 71.0ms (7.4% of total)

backward-pass: 53.0ms (5.5% of total)

const: 11.0ms (1.1% of total)

Bogosity

preprocess112.0ms (1.5%)

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)

explain313.0ms (4.1%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
127	0	-	-	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
0	0	-	-	`x`
0	1	(180.39785639614183)	-	`(exp.f64 (neg.f64 x))`
0	0	-	-	`(neg.f64 x)`
0	0	-	-	`(exp.f64 x)`
0	0	-	-	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
0	0	-	-	`#s(literal 2 binary64)`

Results

246.0ms	248×	1	valid
32.0ms	264×	0	valid

Compiler

Compiled 59 to 23 computations (61% saved)

Precisions

Click to see histograms. Total time spent on operations: 253.0ms

ival-exp: 218.0ms (86.3% of total)

ival-div: 20.0ms (7.9% of total)

ival-sub: 6.0ms (2.4% of total)

backward-pass: 5.0ms (2% of total)

ival-neg: 4.0ms (1.6% of total)

const: 1.0ms (0.4% 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)

simplify31.0ms (0.4%)

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)

localize56.0ms (0.7%)

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

37.0ms	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: 33.0ms

ival-exp: 23.0ms (70.2% of total)

ival-div: 3.0ms (9.2% of total)

ival-neg: 2.0ms (6.1% of total)

ival-sub: 2.0ms (6.1% of total)

backward-pass: 2.0ms (6.1% 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	(- (exp x) (exp (neg x)))
0.0ms	x	@	inf	(neg x)
0.0ms	x	@	0	(exp x)
0.0ms	x	@	0	(exp (neg x))

rewrite543.0ms (7.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

unsound

Counts

4 → 30

Calls

Call 1

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

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

simplify138.0ms (1.8%)

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)

eval8.0ms (0.1%)

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

prune10.0ms (0.1%)

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
	53.6%	(/.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))
▶	90.2%	(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64)))))) #s(literal 2 binary64))
	85.0%	(/.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))
▶	52.2%	(/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
▶	4.3%	(/.f64 #s(literal 8 binary64) #s(literal 2 binary64))
▶	4.3%	(/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
▶	3.5%	(/.f64 #s(literal 0 binary64) #s(literal 2 binary64))

Compiler

Compiled 123 to 91 computations (26% saved)

simplify202.0ms (2.6%)

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	-6272	(.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))))
✓	cost-diff	0	(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64))
✓	cost-diff	0	(pow.f64 x #s(literal 2 binary64))
✓	cost-diff	256	(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64)))))) #s(literal 2 binary64))

Rules

944×	`distribute-lft-in`
635×	`*-commutative`
587×	`distribute-rgt-in`
584×	`associate-/l/`
417×	`fma-define`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	25	273
1	47	241
2	120	241
3	263	241
4	695	239
5	2368	237
6	3721	237
7	4346	237
8	5041	237
9	5889	237
10	6081	237
11	6081	237
12	6542	237
13	6709	237
14	7577	237

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64)))))) #s(literal 2 binary64))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64))))))
x
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64)))))
#s(literal 2 binary64)
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64))))
(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)))
#s(literal 1/3 binary64)
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64))
#s(literal 1/60 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 (.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)))))) #s(literal 2 binary64))
(*.f64 (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 #s(literal 2 binary64)))
(.f64 (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 #s(literal 1/2 binary64)))
(+.f64 x (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))
(+.f64 (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64)) (+.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))))
(+.f64 x (+.f64 (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 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)))
(fma.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)) (*.f64 x #s(literal 2 binary64))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))))
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)))))
(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))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)))
#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 (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)))
(fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(pow.f64 x #s(literal 2 binary64))
(+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64))
#s(literal 1/60 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

localize190.0ms (2.5%)

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%	(+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64)))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64))))))
✓	accuracy	99.8%	(.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))))
✓	accuracy	99.8%	(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64))

Results

159.0ms

256×

valid

Compiler

Compiled 102 to 20 computations (80.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-div: 9.0ms (29.6% of total)

ival-mult: 7.0ms (23% of total)

...c/correct-round.rkt:121:19: 7.0ms (23% of total)

ival-pow: 3.0ms (9.9% of total)

ival-add: 2.0ms (6.6% of total)

const: 1.0ms (3.3% of total)

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

series15.0ms (0.2%)

Counts

11 → 72

Calls

Call 1

Inputs
#<alt (/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64)))))) #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64))>
#<alt (.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))))>
#<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))>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<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)) #s(literal 1/60 binary64))))))>
#<alt (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 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 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/120 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 5 binary64)) (+.f64 #s(literal 1/120 binary64) (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/120 binary64) (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/120 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/120 binary64))))>
#<alt (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/3 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>
#<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 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 5 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/60 binary64) (+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/60 binary64) (+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 5 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/60 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/60 binary64))))>
#<alt #s(literal 1/3 binary64)>
#<alt (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(/ (* 2 x) 2)
1.0ms	x	@	inf	(/ (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) 1/60))))) 2)
1.0ms	x	@	0	(/ (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) 1/60))))) 2)
1.0ms	x	@	inf	(pow x 2)
0.0ms	x	@	inf	(* (pow x 2) 1/60)

rewrite264.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

753×	`log1p-expm1-u`
753×	`expm1-log1p-u`
618×	`prod-diff`
398×	`fma-define`
159×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	224
1	269	188
2	3815	188

Stop Event

1×	node limit

Counts

11 → 285

Calls

Call 1

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

Outputs
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(.f64 x (.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))) (.f64 x #s(literal 1/2 binary64)))
(.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(.f64 (.f64 x (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)))))
(.f64 #s(literal 1 binary64) (.f64 x (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(.f64 (cbrt.f64 (.f64 x (.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (pow.f64 (cbrt.f64 (.f64 x (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))))) #s(literal 2 binary64)))
(.f64 (sqrt.f64 (.f64 x (.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (sqrt.f64 (.f64 x (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(.f64 (sqrt.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))))) (.f64 (sqrt.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))))) (/.f64 (sqrt.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))))) #s(literal 2 binary64)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))) (neg.f64 x)) #s(literal -1/2 binary64))
(.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) x)
(pow.f64 (.f64 x (.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 x (.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 x (.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 x (.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)))) #s(literal -2 binary64)))
(sqrt.f64 (.f64 (pow.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)))) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x (.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (.f64 x (.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 x (.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (.f64 x (.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (.f64 x (.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 x x)
(.f64 #s(literal 2 binary64) (.f64 (*.f64 x #s(literal 1/2 binary64)) x))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(.f64 (.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(.f64 (.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) x))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) x))
(.f64 #s(literal 4 binary64) (.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64))))
(.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 x (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(.f64 (.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(/.f64 x (/.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 x #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 4 binary64))
(/.f64 (.f64 x #s(literal -2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)))
(/.f64 (.f64 (.f64 x #s(literal -2 binary64)) (*.f64 x #s(literal -2 binary64))) #s(literal 4 binary64))
(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal -2 binary64))) #s(literal -4 binary64))
(/.f64 (.f64 (.f64 x #s(literal -2 binary64)) (*.f64 x #s(literal 2 binary64))) #s(literal -4 binary64))
(/.f64 (.f64 (.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64))
(/.f64 (.f64 x (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (.f64 x (.f64 x #s(literal -2 binary64))) #s(literal -2 binary64))
(/.f64 (.f64 (.f64 x #s(literal -2 binary64)) x) #s(literal -2 binary64))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/216000 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal 1/60 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1/60 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/216000 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 1/60 binary64))))
(exp.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 1/60 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64))))
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(fma.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64)) #s(literal 1 binary64) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64))) (cbrt.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64))) #s(literal 1/3 binary64))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64))) (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))
(fma.f64 (.f64 x (sqrt.f64 #s(literal 1/60 binary64))) (.f64 x (sqrt.f64 #s(literal 1/60 binary64))) #s(literal 1/3 binary64))
(fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64))
(fma.f64 (*.f64 #s(literal 1/60 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/3 binary64))

simplify292.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

523×	`distribute-lft-in`
359×	`distribute-lft-neg-in`
331×	`distribute-rgt-neg-in`
293×	`cube-prod`
264×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	612	12076
1	1389	11700
2	4070	11586

Stop Event

1×	node limit

Counts

357 → 390

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 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64)))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/120 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 5 binary64)) (+.f64 #s(literal 1/120 binary64) (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/120 binary64) (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64)))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/120 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/120 binary64))))
(*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/3 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 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 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 5 binary64)))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/60 binary64) (+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/60 binary64) (+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 5 binary64)))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/60 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/60 binary64))))
#s(literal 1/3 binary64)
(+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/60 binary64) (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 #s(literal 1/3 binary64) (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(.f64 x (.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))) (.f64 x #s(literal 1/2 binary64)))
(.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(.f64 (.f64 x (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)))))
(.f64 #s(literal 1 binary64) (.f64 x (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(.f64 (cbrt.f64 (.f64 x (.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (pow.f64 (cbrt.f64 (.f64 x (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))))) #s(literal 2 binary64)))
(.f64 (sqrt.f64 (.f64 x (.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (sqrt.f64 (.f64 x (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(.f64 (sqrt.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))))) (.f64 (sqrt.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))))) (/.f64 (sqrt.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))))) #s(literal 2 binary64)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))) (neg.f64 x)) #s(literal -1/2 binary64))
(.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) x)
(pow.f64 (.f64 x (.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 x (.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 x (.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 x (.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)))) #s(literal -2 binary64)))
(sqrt.f64 (.f64 (pow.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)))) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x (.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (.f64 x (.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 x (.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (.f64 x (.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (.f64 x (.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 x x)
(.f64 #s(literal 2 binary64) (.f64 (*.f64 x #s(literal 1/2 binary64)) x))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64) #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (fma.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/216000 binary64) #s(literal 1/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/60 binary64) (pow.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1/9 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64)))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/216000 binary64) #s(literal 1/27 binary64)) (fma.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64) #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/216000 binary64) #s(literal 1/27 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/180 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64))) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/60 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/216000 binary64) #s(literal 1/27 binary64))) (neg.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64)))) (neg.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/60 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64) #s(literal -1/9 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64) #s(literal -1/3 binary64)))
(pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64) #s(literal 1/3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64) #s(literal 1/3 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64) #s(literal 1/3 binary64))))
(exp.f64 (log.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64) #s(literal 1/3 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))
(fma.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64)) #s(literal 1 binary64) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64))) (cbrt.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64))) #s(literal 1/3 binary64))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64))) (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))
(fma.f64 (.f64 x (sqrt.f64 #s(literal 1/60 binary64))) (.f64 x (sqrt.f64 #s(literal 1/60 binary64))) #s(literal 1/3 binary64))
(fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64))
(fma.f64 (*.f64 #s(literal 1/60 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 x) #s(literal 2 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 (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/120 binary64))))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/120 binary64))))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64)))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/120 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 5 binary64)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/120 binary64) (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/120 binary64) (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64)))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/120 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 5 binary64)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/120 binary64))))
(neg.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64))) #s(literal -1/120 binary64))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64))) #s(literal -1/120 binary64))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/120 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/120 binary64))))
(neg.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64))) #s(literal -1/120 binary64))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64))) #s(literal -1/120 binary64))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/120 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64))
(*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64))
(*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64))
(*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64))
(*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64))
(*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64))
(*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64))
(*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64))
(*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64))
(*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64))
(*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64))
(*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.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)))
(.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 (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)))
(.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 (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)))
(*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/60 binary64))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/60 binary64))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
x
x
x
x
x
x
x
x
x
x
x
x
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) #s(literal 2 binary64)))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) (*.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)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 5 binary64)))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/60 binary64))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
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(/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/3600 binary64))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal 1/3 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64) #s(literal -1/9 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64) #s(literal -1/3 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64) #s(literal -1/9 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64) #s(literal -1/3 binary64)))
(/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64))) (+.f64 #s(literal 1/3 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/60 binary64))))
(/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/3600 binary64))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal 1/3 binary64)))
(pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 3 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
(log.f64 (exp.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64) #s(literal 1/3 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 3 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64) #s(literal 1/3 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64) #s(literal 1/3 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
(exp.f64 (log.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64) #s(literal 1/3 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
(exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
(fma.f64 x (*.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
(fma.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64)) #s(literal 1 binary64) #s(literal 1/3 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/60 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64))) (cbrt.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64))) #s(literal 1/3 binary64))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64))) (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64))) (cbrt.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64))) #s(literal 1/3 binary64))
(fma.f64 (.f64 x (sqrt.f64 #s(literal 1/60 binary64))) (.f64 x (sqrt.f64 #s(literal 1/60 binary64))) #s(literal 1/3 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
(fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64))
(fma.f64 x (*.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
(fma.f64 (*.f64 #s(literal 1/60 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/3 binary64))

eval61.0ms (0.8%)

Compiler: Compiled 8446 to 1786 computations (78.9% saved)

prune162.0ms (2.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	425	4	429
Fresh	1	1	2
Picked	5	0	5
Done	0	1	1
Total	431	6	437

Accuracy

100.0%

Counts

437 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.6%	(/.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))
▶	90.2%	(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/60 binary64)))))) #s(literal 2 binary64))
▶	85.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
▶	43.4%	(*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64)))
▶	52.2%	x

Compiler

Compiled 99 to 73 computations (26.3% saved)

simplify123.0ms (1.6%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6272	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))))
✓	cost-diff	-6144	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
	cost-diff	0	(pow.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
✓	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	0	(pow.f64 x #s(literal 5 binary64))
✓	cost-diff	0	(*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64)))
✓	cost-diff	-12352	(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/60 binary64)))))) #s(literal 2 binary64))
✓	cost-diff	-6336	(*.f64 x x)
✓	cost-diff	-6336	(.f64 (.f64 x x) #s(literal 1/60 binary64))
	cost-diff	0	(pow.f64 x #s(literal 2 binary64))

Rules

489×	`neg-sub0`
413×	`div-sub`
349×	`fma-define`
345×	`associate-/l/`
342×	`associate-/l*`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	30	453
1	76	401
2	184	395
3	479	395
4	982	395
5	2905	387
6	4401	387
7	6075	387
8	7659	387

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/60 binary64)))))) #s(literal 2 binary64))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/60 binary64))))))
x
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/60 binary64)))))
#s(literal 2 binary64)
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/60 binary64))))
(pow.f64 x #s(literal 2 binary64))
(+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/60 binary64)))
#s(literal 1/3 binary64)
(.f64 (.f64 x x) #s(literal 1/60 binary64))
(*.f64 x x)
#s(literal 1/60 binary64)
x
(*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64)))
#s(literal 1/120 binary64)
(pow.f64 x #s(literal 5 binary64))
x
#s(literal 5 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)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
x
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(literal 1 binary64)
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal 1/6 binary64)
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)

Outputs
(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/60 binary64)))))) #s(literal 2 binary64))
(.f64 x (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64))))) #s(literal 2 binary64)))
(*.f64 (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 #s(literal 2 binary64)))
(.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))) (.f64 x #s(literal 1/2 binary64)))
(.f64 (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 #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/60 binary64))))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64))))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))))
(fma.f64 x #s(literal 2 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 5 binary64)))))
x
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/60 binary64)))))
(+.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)))))
(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))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)))
#s(literal 2 binary64)
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/60 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 (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)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64))))
(pow.f64 x #s(literal 2 binary64))
(+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/60 binary64)))
(+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(.f64 (.f64 x x) #s(literal 1/60 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
#s(literal 1/60 binary64)
x
(*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64)))
#s(literal 1/120 binary64)
(pow.f64 x #s(literal 5 binary64))
x
#s(literal 5 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 #s(literal 1/2 binary64) (+.f64 x (expm1.f64 x)))
(-.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)
(.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 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
x
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)

localize181.0ms (2.4%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(pow.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))))
✓	accuracy	99.9%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
✓	accuracy	99.7%	(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
✓	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 5 binary64))
✓	accuracy	99.9%	(*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64)))
✓	accuracy	100.0%	(+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/60 binary64)))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/60 binary64))))))
✓	accuracy	99.8%	(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/60 binary64))))
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal 1/60 binary64))

Results

92.0ms	124×	1	valid
47.0ms	132×	0	valid

Compiler

Compiled 142 to 26 computations (81.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 94.0ms

ival-pow: 19.0ms (20.1% of total)

...c/correct-round.rkt:121:19: 18.0ms (19.1% of total)

ival-div: 17.0ms (18% of total)

ival-mult: 17.0ms (18% of total)

backward-pass: 7.0ms (7.4% of total)

ival-add: 6.0ms (6.4% of total)

ival-exp: 6.0ms (6.4% of total)

ival-sub: 4.0ms (4.2% of total)

const: 1.0ms (1.1% of total)

series21.0ms (0.3%)

Counts

14 → 126

Calls

Call 1

Inputs
#<alt (.f64 (.f64 x x) #s(literal 1/60 binary64))>
#<alt (*.f64 x x)>
#<alt (/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/60 binary64)))))) #s(literal 2 binary64))>
#<alt (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64)))>
#<alt (pow.f64 x #s(literal 5 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)>
#<alt (*.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 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/60 binary64))))>
#<alt (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/60 binary64))))))>
#<alt (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/60 binary64)))>

Outputs
#<alt (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt 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 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/120 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 5 binary64)) (+.f64 #s(literal 1/120 binary64) (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/120 binary64) (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/120 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/120 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))))>
#<alt x>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 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 #s(literal 1 binary64)>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 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 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 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 2 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 2 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 5 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/60 binary64) (+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/60 binary64) (+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 5 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/60 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/60 binary64))))>
#<alt #s(literal 1/3 binary64)>
#<alt (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>

Calls

42 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(* x x)
1.0ms	x	@	-inf	(/ (- (exp x) (- 1 x)) 2)
1.0ms	x	@	-inf	(* (pow x 2) (+ 1/3 (* (* x x) 1/60)))
1.0ms	x	@	0	(* 1/120 (pow x 5))
0.0ms	x	@	inf	(/ (- (exp x) (- 1 x)) 2)

rewrite239.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

874×	`log1p-expm1-u`
210×	`expm1-log1p-u`
204×	`add-exp-log`
204×	`add-cube-cbrt`
203×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	352
1	471	306
2	6778	306

Stop Event

1×	node limit

Counts

14 → 349

Calls

Call 1

Inputs
(.f64 (.f64 x x) #s(literal 1/60 binary64))
(*.f64 x x)
(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/60 binary64)))))) #s(literal 2 binary64))
(*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64)))
(pow.f64 x #s(literal 5 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)
(*.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 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/60 binary64))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/60 binary64))))))
(+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/60 binary64)))

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/216000 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal 1/60 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/60 binary64)) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64))))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/216000 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))))
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(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))))
(exp.f64 (log.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64))) (cbrt.f64 (.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/3 binary64))
(fma.f64 (.f64 x (sqrt.f64 #s(literal 1/60 binary64))) (.f64 x (sqrt.f64 #s(literal 1/60 binary64))) #s(literal 1/3 binary64))

simplify274.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

719×	`fma-neg`
499×	`associate-r`
463×	`associate-l`
404×	`fma-define`
353×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	863	15878
1	2034	14453
2	7108	14441

Stop Event

1×	node limit

Counts

475 → 523

Calls

Call 1

Inputs
(*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
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 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64)))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/120 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 5 binary64)) (+.f64 #s(literal 1/120 binary64) (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/120 binary64) (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64)))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/120 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/120 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))))
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 (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)))))
#s(literal 1 binary64)
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 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 2 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 2 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 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 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 2 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 2 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/3 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 (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 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 5 binary64)))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/60 binary64) (+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/60 binary64) (+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 5 binary64)))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/60 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/60 binary64))))
#s(literal 1/3 binary64)
(+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/60 binary64) (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 #s(literal 1/3 binary64) (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/216000 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal 1/60 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/60 binary64)) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64))))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/216000 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(.f64 x (.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)))
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(/.f64 (-.f64 (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))) (.f64 (.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64))))) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/216000 binary64)) #s(literal 1/27 binary64))) (+.f64 #s(literal 1/9 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64)) (.f64 #s(literal 1/180 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64)))) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/60 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/216000 binary64)) #s(literal 1/27 binary64)) (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1/9 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64)) (.f64 #s(literal 1/180 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64))) (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)))))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64))))
(+.f64 (.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 x #s(literal 2 binary64)))
(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(+.f64 (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 x #s(literal 2 binary64)) (.f64 x #s(literal 2 binary64))) (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 (.f64 x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 x #s(literal 2 binary64)) (.f64 x #s(literal 2 binary64))) (.f64 (.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (.f64 x (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))) #s(literal 3 binary64)) #s(literal 8 binary64))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)))))
(/.f64 (.f64 x (-.f64 #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) (-.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))) #s(literal 3 binary64)) #s(literal 8 binary64)) x) (+.f64 #s(literal 4 binary64) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) x) (-.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))))
(pow.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 x #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 2 binary64) x (*.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/60 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/60 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))))
(.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/216000 binary64)) #s(literal 1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64)) (.f64 #s(literal 1/180 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/60 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64)) (.f64 #s(literal 1/180 binary64) (pow.f64 x #s(literal 2 binary64))))) (+.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/216000 binary64)) #s(literal 1/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/60 binary64) (pow.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1/9 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64)))))
(/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/216000 binary64)) #s(literal 1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64)) (*.f64 #s(literal 1/180 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/216000 binary64)) #s(literal 1/27 binary64)) (+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/180 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64))) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/60 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/216000 binary64)) #s(literal 1/27 binary64))) (neg.f64 (+.f64 #s(literal 1/9 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64)) (*.f64 #s(literal 1/180 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64)))) (neg.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/60 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64)) #s(literal 1/9 binary64)) (-.f64 (.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(pow.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))))
(exp.f64 (log.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64))) (cbrt.f64 (.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/3 binary64))
(fma.f64 (.f64 x (sqrt.f64 #s(literal 1/60 binary64))) (.f64 x (sqrt.f64 #s(literal 1/60 binary64))) #s(literal 1/3 binary64))

Outputs
(*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/120 binary64))))))
(+.f64 x (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/120 binary64))))))
(+.f64 x (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64)))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/120 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 5 binary64)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/120 binary64) (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/120 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/120 binary64) (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/120 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64)))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/120 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 5 binary64)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/120 binary64))))
(neg.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64))) #s(literal -1/120 binary64))))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64))) #s(literal -1/120 binary64)) (neg.f64 (pow.f64 x #s(literal 5 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/120 binary64))))
(neg.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64))) #s(literal -1/120 binary64))))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64))) #s(literal -1/120 binary64)) (neg.f64 (pow.f64 x #s(literal 5 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 #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 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (expm1.f64 x) x) #s(literal -1/2 binary64)))
(*.f64 x (neg.f64 (fma.f64 (/.f64 (expm1.f64 x) x) #s(literal -1/2 binary64) #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 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (expm1.f64 x) x) #s(literal -1/2 binary64)))
(*.f64 x (neg.f64 (fma.f64 (/.f64 (expm1.f64 x) x) #s(literal -1/2 binary64) #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 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (expm1.f64 x) x) #s(literal -1/2 binary64)))
(*.f64 x (neg.f64 (fma.f64 (/.f64 (expm1.f64 x) x) #s(literal -1/2 binary64) #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 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 (expm1.f64 x) x) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (expm1.f64 x) x) #s(literal -1 binary64)) (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 (expm1.f64 x) x) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (expm1.f64 x) x) #s(literal -1 binary64)) (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 (expm1.f64 x) x) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (expm1.f64 x) x) #s(literal -1 binary64)) (neg.f64 x))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.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 #s(literal -1 binary64) (/.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 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (+.f64 #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 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (+.f64 #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 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x))
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 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal 1 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 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal 1 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 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal 1 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 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal 1 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 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal 1 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 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
#s(literal 1 binary64)
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))))
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(/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/3600 binary64))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal 1/3 binary64)))
(/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/216000 binary64)) #s(literal 1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64)) (*.f64 #s(literal 1/180 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/216000 binary64) #s(literal 1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/180 binary64))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216000 binary64) #s(literal 1/27 binary64)) (+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64) #s(literal 1/9 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/180 binary64))))
(/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/216000 binary64)) #s(literal 1/27 binary64)) (+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/180 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/216000 binary64) #s(literal 1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/180 binary64))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216000 binary64) #s(literal 1/27 binary64)) (+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64) #s(literal 1/9 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/180 binary64))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64))) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/60 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64))) (+.f64 #s(literal 1/3 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/60 binary64))))
(/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/3600 binary64))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal 1/3 binary64)))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/216000 binary64)) #s(literal 1/27 binary64))) (neg.f64 (+.f64 #s(literal 1/9 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64)) (*.f64 #s(literal 1/180 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/216000 binary64) #s(literal 1/27 binary64))) (+.f64 #s(literal -1/9 binary64) (neg.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/180 binary64))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216000 binary64) #s(literal 1/27 binary64)) (neg.f64 (-.f64 #s(literal -1/9 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/180 binary64))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216000 binary64) #s(literal -1/27 binary64)) (-.f64 #s(literal -1/9 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/180 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64)))) (neg.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/60 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64)))) (+.f64 #s(literal -1/3 binary64) (neg.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/60 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64) #s(literal -1/9 binary64)) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64)) #s(literal 1/9 binary64)) (-.f64 (.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64)))) (+.f64 #s(literal -1/3 binary64) (neg.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/60 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64) #s(literal -1/9 binary64)) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64)))
(pow.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))) #s(literal 3 binary64))
(fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))
(fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(fabs.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))))
(fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))))
(fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)))
(fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))))
(fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))
(exp.f64 (log.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))))
(fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))
(fma.f64 x (*.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64))) (cbrt.f64 (.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/3 binary64))
(fma.f64 (.f64 x (sqrt.f64 #s(literal 1/60 binary64))) (.f64 x (sqrt.f64 #s(literal 1/60 binary64))) #s(literal 1/3 binary64))
(+.f64 (pow.f64 (*.f64 x (sqrt.f64 #s(literal 1/60 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64))
(+.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 x (sqrt.f64 #s(literal 1/60 binary64))) #s(literal 2 binary64)))

eval243.0ms (3.2%)

Compiler: Compiled 10086 to 2320 computations (77% saved)

prune241.0ms (3.1%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	608	8	616
Fresh	0	0	0
Picked	3	2	5
Done	0	1	1
Total	611	11	622

Accuracy

100.0%

Counts

622 → 11

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))
▶	53.1%	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	90.2%	(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/60 binary64)))))) #s(literal 2 binary64))
	90.2%	(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/60 binary64)))))) #s(literal 2 binary64))
▶	90.2%	(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/60 binary64)))))) #s(literal 2 binary64))
	87.0%	(.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))))))))
▶	75.9%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/4 binary64))))
▶	85.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))))
	85.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x x))))
✓	43.4%	(*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64)))
✓	52.2%	x

Compiler

Compiled 247 to 171 computations (30.8% saved)

simplify136.0ms (1.8%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(exp.f64 x)
✓	cost-diff	128	(-.f64 (exp.f64 x) #s(literal 1 binary64))
✓	cost-diff	128	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))
	cost-diff	0	(*.f64 x x)
	cost-diff	0	(.f64 (.f64 x x) #s(literal 1/60 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	128	(/.f64 x (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	-6144	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	128	(/.f64 x (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	128	(*.f64 #s(literal 1/6 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
✓	cost-diff	-6272	(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64)))
✓	cost-diff	-6272	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/4 binary64))))
✓	cost-diff	0	(*.f64 x #s(literal 1/4 binary64))
✓	cost-diff	-12608	(.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/60 binary64))))
	cost-diff	-6272	(+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/60 binary64)))
	cost-diff	0	(.f64 (.f64 x x) #s(literal 1/60 binary64))
	cost-diff	0	(*.f64 x x)

Rules

869×	`associate-/r/`
766×	`fma-define`
591×	`distribute-lft-in`
498×	`distribute-rgt-in`
451×	`associate-/l/`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	34	798
1	106	700
2	307	667
3	631	655
4	969	651
5	1430	639
6	2471	631
7	3308	631
8	3609	631
9	3906	631
10	6445	631
11	7072	631

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/60 binary64)))))) #s(literal 2 binary64))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/60 binary64))))))
x
(+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/60 binary64)))))
#s(literal 2 binary64)
(.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/60 binary64))))
(*.f64 x x)
(+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/60 binary64)))
#s(literal 1/3 binary64)
(.f64 (.f64 x x) #s(literal 1/60 binary64))
#s(literal 1/60 binary64)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/4 binary64))))
x
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64)))
#s(literal 1 binary64)
(*.f64 x #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))))
x
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))))
#s(literal 1 binary64)
(*.f64 #s(literal 1/6 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
#s(literal 1/6 binary64)
(/.f64 x (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/60 binary64)))))) #s(literal 2 binary64))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/60 binary64))))))
x
(+.f64 #s(literal 2 binary64) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/60 binary64)))))
#s(literal 2 binary64)
(.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/60 binary64))))
(/.f64 x (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/60 binary64)))
#s(literal 1/3 binary64)
(.f64 (.f64 x x) #s(literal 1/60 binary64))
(*.f64 x x)
#s(literal 1/60 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 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/60 binary64)))))) #s(literal 2 binary64))
(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/60 binary64))))))) #s(literal 2 binary64))
(.f64 (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)))
(.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) (.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 x (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(+.f64 x (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 5 binary64))))))
(+.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64) x))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/60 binary64))))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/60 binary64)))))))
(.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(fma.f64 x #s(literal 2 binary64) (.f64 (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))))
(fma.f64 x #s(literal 2 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 5 binary64)))))
(fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 5 binary64)) (fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))
x
(+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/60 binary64)))))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/60 binary64))))))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/3 binary64) (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64))
(fma.f64 x (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 1/3 binary64))) #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/60 binary64))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/60 binary64)))))
(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))))
(.f64 x (fma.f64 x #s(literal 1/3 binary64) (.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 x (.f64 x #s(literal 1/3 binary64))))
(.f64 x (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 1/3 binary64))))
(*.f64 x x)
(+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/60 binary64)))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/60 binary64))))
(fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
(fma.f64 x (*.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(.f64 (.f64 x x) #s(literal 1/60 binary64))
(.f64 x (.f64 x #s(literal 1/60 binary64)))
#s(literal 1/60 binary64)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/4 binary64))))
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)))
x
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64)))
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 x #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 (/.f64 x #s(literal 1 binary64)) x))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
x
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 (/.f64 x #s(literal 1 binary64)) x)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 #s(literal 1/6 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
(.f64 #s(literal 1/6 binary64) (.f64 (/.f64 x #s(literal 1 binary64)) x))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
#s(literal 1/6 binary64)
(/.f64 x (/.f64 #s(literal 1 binary64) x))
(*.f64 x x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/60 binary64)))))) #s(literal 2 binary64))
(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/60 binary64))))))) #s(literal 2 binary64))
(.f64 (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)))
(.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) (.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 x (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(+.f64 x (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 5 binary64))))))
(+.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64) x))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/60 binary64))))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/60 binary64)))))))
(.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(fma.f64 x #s(literal 2 binary64) (.f64 (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))))
(fma.f64 x #s(literal 2 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 5 binary64)))))
(fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 5 binary64)) (fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))
x
(+.f64 #s(literal 2 binary64) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/60 binary64)))))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/60 binary64))))))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/3 binary64) (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64))
(fma.f64 x (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 1/3 binary64))) #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/60 binary64))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/60 binary64)))))
(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))))
(.f64 x (fma.f64 x #s(literal 1/3 binary64) (.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 x (.f64 x #s(literal 1/3 binary64))))
(.f64 x (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 1/3 binary64))))
(/.f64 x (/.f64 #s(literal 1 binary64) x))
(*.f64 x x)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/60 binary64)))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/60 binary64))))
(fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
(fma.f64 x (*.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(.f64 (.f64 x x) #s(literal 1/60 binary64))
(.f64 x (.f64 x #s(literal 1/60 binary64)))
(*.f64 x x)
#s(literal 1/60 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)

localize276.0ms (3.6%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))
	accuracy	100.0%	(exp.f64 x)
✓	accuracy	54.0%	(-.f64 (exp.f64 x) #s(literal 1 binary64))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/60 binary64))))))
✓	accuracy	99.8%	(/.f64 x (/.f64 #s(literal 1 binary64) x))
✓	accuracy	99.8%	(.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/60 binary64))))
	accuracy	99.8%	(.f64 (.f64 x x) #s(literal 1/60 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))))
✓	accuracy	99.9%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))))
✓	accuracy	99.8%	(/.f64 x (/.f64 #s(literal 1 binary64) x))
✓	accuracy	99.7%	(*.f64 #s(literal 1/6 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/4 binary64))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/4 binary64))))
	accuracy	100.0%	(+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/60 binary64)))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/60 binary64))))))
✓	accuracy	99.8%	(.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/60 binary64))))
	accuracy	99.8%	(.f64 (.f64 x x) #s(literal 1/60 binary64))

Results

107.0ms	125×	1	valid
45.0ms	131×	0	valid

Compiler

Compiled 240 to 30 computations (87.5% saved)

Precisions

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

ival-mult: 39.0ms (40.6% of total)

ival-div: 14.0ms (14.6% of total)

...c/correct-round.rkt:121:19: 14.0ms (14.6% of total)

ival-add: 10.0ms (10.4% of total)

backward-pass: 9.0ms (9.4% of total)

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

ival-sub: 2.0ms (2.1% of total)

const: 1.0ms (1% of total)

series17.0ms (0.2%)

Counts

14 → 148

Calls

Call 1

Inputs
#<alt (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/60 binary64))))>
#<alt (*.f64 x #s(literal 1/4 binary64))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/4 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64)))>
#<alt (*.f64 #s(literal 1/6 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))>
#<alt (/.f64 x (/.f64 #s(literal 1 binary64) x))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))))>
#<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 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/60 binary64))))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))))>
#<alt (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/60 binary64))))>
#<alt (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/60 binary64))))))>

Outputs
#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/4 binary64) x)>
#<alt (*.f64 #s(literal 1/4 binary64) x)>
#<alt (*.f64 #s(literal 1/4 binary64) x)>
#<alt (*.f64 #s(literal 1/4 binary64) x)>
#<alt (*.f64 #s(literal 1/4 binary64) x)>
#<alt (*.f64 #s(literal 1/4 binary64) x)>
#<alt (*.f64 #s(literal 1/4 binary64) x)>
#<alt (*.f64 #s(literal 1/4 binary64) x)>
#<alt (*.f64 #s(literal 1/4 binary64) x)>
#<alt (*.f64 #s(literal 1/4 binary64) x)>
#<alt (*.f64 #s(literal 1/4 binary64) x)>
#<alt (*.f64 #s(literal 1/4 binary64) x)>
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) x)))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) x)))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) x)))>
#<alt (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) x))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) x))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) x))>
#<alt (*.f64 #s(literal 1/4 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 1/4 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.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 2 binary64)))>
#<alt (*.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 2 binary64)))>
#<alt (*.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 2 binary64)))>
#<alt (*.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 2 binary64)))>
#<alt (*.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 2 binary64)))>
#<alt (*.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 2 binary64)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.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 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 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 2 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 2 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 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 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 2 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 2 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) x)))>
#<alt (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 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 (*.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 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 5 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/60 binary64) (+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/60 binary64) (+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 5 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/60 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/60 binary64))))>
#<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 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 5 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/60 binary64) (+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/60 binary64) (+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 5 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/60 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/60 binary64))))>

Calls

42 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/ (- (exp x) 1) 2)
0.0ms	x	@	-inf	(* x (+ 1 (* x 1/4)))
0.0ms	x	@	inf	(* x (+ 1 (* x 1/4)))
0.0ms	x	@	inf	(/ (- (exp x) 1) 2)
0.0ms	x	@	inf	(* x 1/4)

rewrite119.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

255×	`log1p-expm1-u`
255×	`expm1-log1p-u`
250×	`associate-r`
231×	`add-cube-cbrt`
230×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	376
1	556	298

Stop Event

1×	node limit

Counts

14 → 423

Calls

Call 1

Inputs
(.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/60 binary64))))
(*.f64 x #s(literal 1/4 binary64))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/4 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64)))
(*.f64 #s(literal 1/6 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
(/.f64 x (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))))
(/.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 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/60 binary64))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))))
(.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/60 binary64))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/60 binary64))))))

Outputs
(+.f64 (.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64))))
(+.f64 (.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))))
(/.f64 (+.f64 #s(literal 1/27 binary64) (.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/216000 binary64))) (.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 #s(literal 1/9 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64)) (.f64 #s(literal 1/180 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 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 (*.f64 x (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 (+.f64 #s(literal 1/27 binary64) (.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/216000 binary64))) x) (.f64 (+.f64 #s(literal 1/9 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64)) (*.f64 #s(literal 1/180 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 (+.f64 #s(literal 1/27 binary64) (.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/216000 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1/9 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64)) (*.f64 #s(literal 1/180 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal -2 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 1/27 binary64) (.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/216000 binary64))) (neg.f64 x)) (.f64 (+.f64 #s(literal 1/9 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64)) (*.f64 #s(literal 1/180 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) x)))
(/.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64))) x) (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/60 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/60 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal -2 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64))) (neg.f64 x)) (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/60 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) x)))
(/.f64 (.f64 x (+.f64 #s(literal 1/27 binary64) (.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/216000 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/9 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64)) (*.f64 #s(literal 1/180 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(/.f64 (.f64 x (-.f64 #s(literal 1/9 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/60 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (.f64 (neg.f64 x) (+.f64 #s(literal 1/27 binary64) (.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/216000 binary64)))) (.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 1/9 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64)) (*.f64 #s(literal 1/180 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(/.f64 (.f64 (neg.f64 x) (-.f64 #s(literal 1/9 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64)))) (.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/60 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))) (-.f64 (.f64 (.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 (.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64))))) (-.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/27 binary64) (.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/216000 binary64)))) (+.f64 #s(literal 1/9 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64)) (.f64 #s(literal 1/180 binary64) (pow.f64 x #s(literal 2 binary64))))))
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(pow.f64 (cbrt.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64))))
(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(+.f64 (.f64 #s(literal 2 binary64) x) (.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(+.f64 (.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 x #s(literal 2 binary64)))
(+.f64 (.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 2 binary64) x))
(+.f64 (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 x #s(literal 2 binary64)) (.f64 x #s(literal 2 binary64))) (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 (.f64 x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal 2 binary64) x)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 (.f64 #s(literal 2 binary64) x) (*.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 x #s(literal 2 binary64)) (.f64 x #s(literal 2 binary64))) (.f64 (.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (-.f64 (.f64 #s(literal 2 binary64) x) (.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (.f64 x (-.f64 #s(literal 4 binary64) (pow.f64 (.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) (-.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (.f64 x (+.f64 #s(literal 8 binary64) (pow.f64 (.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) x) (-.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) x) (+.f64 #s(literal 4 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))))
(pow.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 x #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 2 binary64) x (*.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))))

simplify311.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

629×	`fma-neg`
475×	`associate-r`
441×	`associate-l`
409×	`fma-define`
275×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	841	19204
1	2144	17480
2	7180	17468

Stop Event

1×	node limit

Counts

571 → 513

Calls

Call 1

Inputs
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 1/4 binary64) x)
(*.f64 #s(literal 1/4 binary64) x)
(*.f64 #s(literal 1/4 binary64) x)
(*.f64 #s(literal 1/4 binary64) x)
(*.f64 #s(literal 1/4 binary64) x)
(*.f64 #s(literal 1/4 binary64) x)
(*.f64 #s(literal 1/4 binary64) x)
(*.f64 #s(literal 1/4 binary64) x)
(*.f64 #s(literal 1/4 binary64) x)
(*.f64 #s(literal 1/4 binary64) x)
(*.f64 #s(literal 1/4 binary64) x)
(*.f64 #s(literal 1/4 binary64) x)
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) x)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) x))
(*.f64 #s(literal 1/4 binary64) x)
(*.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/4 binary64) x)
(*.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 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 2 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 2 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 2 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 2 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 2 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.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 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 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 2 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 2 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 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 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 2 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 2 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 x #s(literal 2 binary64)) (.f64 x #s(literal 2 binary64))) (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 (.f64 x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal 2 binary64) x)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 (.f64 #s(literal 2 binary64) x) (*.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 x #s(literal 2 binary64)) (.f64 x #s(literal 2 binary64))) (.f64 (.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (-.f64 (.f64 #s(literal 2 binary64) x) (.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (.f64 x (-.f64 #s(literal 4 binary64) (pow.f64 (.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) (-.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (.f64 x (+.f64 #s(literal 8 binary64) (pow.f64 (.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) x) (-.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) x) (+.f64 #s(literal 4 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))))
(pow.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 x #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 2 binary64) x (*.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))))

Outputs
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64) #s(literal 1/3 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 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64) #s(literal 1/3 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 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/60 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/60 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/60 binary64)))
(*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/60 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/60 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/60 binary64)))
(*.f64 #s(literal 1/4 binary64) x)
(*.f64 x #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) x)
(*.f64 x #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) x)
(*.f64 x #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) x)
(*.f64 x #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) x)
(*.f64 x #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) x)
(*.f64 x #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) x)
(*.f64 x #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) x)
(*.f64 x #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) x)
(*.f64 x #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) x)
(*.f64 x #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) x)
(*.f64 x #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) x)
(*.f64 x #s(literal 1/4 binary64))
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) x)))
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) x)))
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) x)))
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #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)) #s(literal 1/4 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 x #s(literal 1/4 binary64) #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 x #s(literal 1/4 binary64) #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 x #s(literal 1/4 binary64) #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)) #s(literal 1/4 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 x #s(literal 1/4 binary64) #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 x #s(literal 1/4 binary64) #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 x #s(literal 1/4 binary64) #s(literal 1 binary64)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) x))
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) x))
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) x))
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 1/4 binary64) x)
(*.f64 x #s(literal 1/4 binary64))
(*.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))
(*.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))
(*.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 1/4 binary64) x)
(*.f64 x #s(literal 1/4 binary64))
(*.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))
(*.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))
(*.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
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(*.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)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))))
(expm1.f64 (log1p.f64 (*.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)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))))
(*.f64 x (fma.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 x (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)))
(exp.f64 (log.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))))
(*.f64 x (fma.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 x (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)))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 x (fma.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 x (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)))
(fma.f64 x #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 x (fma.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 x (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)))
(fma.f64 #s(literal 2 binary64) x (*.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 x (fma.f64 (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 x (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)))

eval180.0ms (2.3%)

Compiler: Compiled 13275 to 2990 computations (77.5% saved)

prune95.0ms (1.2%)

Pruning

12 alts after pruning (6 fresh and 6 done)

	Pruned	Kept	Total
New	760	3	763
Fresh	0	3	3
Picked	1	4	5
Done	1	2	3
Total	762	12	774

Accuracy

100.0%

Counts

774 → 12

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))
✓	90.2%	(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/60 binary64)))))) #s(literal 2 binary64))
	90.2%	(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/60 binary64)))))) #s(literal 2 binary64))
✓	90.2%	(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/60 binary64)))))) #s(literal 2 binary64))
	59.4%	(/.f64 (expm1.f64 x) #s(literal 2 binary64))
	85.0%	(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) x))))
	85.0%	(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1/6 binary64) x)))))
	87.0%	(.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))))))))
✓	75.9%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/4 binary64))))
✓	85.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))))
	85.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x x))))
✓	52.2%	x

Compiler

Compiled 376 to 197 computations (47.6% saved)

regimes19.0ms (0.3%)

Counts

23 → 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 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) x))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1/6 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 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/60 binary64)))))) #s(literal 2 binary64))
(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/60 binary64)))))) #s(literal 2 binary64))
(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/60 binary64)))))) #s(literal 2 binary64))
(/.f64 (expm1.f64 x) #s(literal 2 binary64))
(*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64)))
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) 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 (.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 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/60 binary64)))))) #s(literal 2 binary64))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64)))))) #s(literal 2 binary64))

Outputs

(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))))) #s(literal 2 binary64))

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

Calls

3 calls:

6.0ms	x
6.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
5.0ms	(/.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)

regimes8.0ms (0.1%)

Counts

21 → 2

Calls

Call 1

Inputs
x
(/.f64 #s(literal 0 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 8 binary64) #s(literal 2 binary64))
(/.f64 (*.f64 #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 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) x))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1/6 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 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/60 binary64)))))) #s(literal 2 binary64))
(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/60 binary64)))))) #s(literal 2 binary64))
(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/60 binary64)))))) #s(literal 2 binary64))
(/.f64 (expm1.f64 x) #s(literal 2 binary64))
(*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64)))
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) 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 (.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 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/60 binary64)))))) #s(literal 2 binary64))

Outputs

(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))))) #s(literal 2 binary64))

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
99.9%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

Counts

14 → 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 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) x))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1/6 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 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/60 binary64)))))) #s(literal 2 binary64))
(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/60 binary64)))))) #s(literal 2 binary64))
(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/60 binary64)))))) #s(literal 2 binary64))

Outputs
(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/60 binary64)))))) #s(literal 2 binary64))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
90.2%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0.1%)

Counts

11 → 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 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) x))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1/6 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))))))))

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
87.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (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 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) x))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1/6 binary64) x)))))

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
85.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
75.9%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Accuracy

Total -31.7b remaining (-103.4%)

Threshold costs -31.7b (-103.4%)

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
52.2%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.000721225001485748	0.32684231087430826

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	0.16270236030932084	180.39785639614183

Results

9.0ms

128×

valid

Compiler

Compiled 213 to 146 computations (31.5% saved)

Precisions

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

ival-exp: 2.0ms (32.1% of total)

ival-neg: 2.0ms (32.1% of total)

ival-sub: 1.0ms (16% of total)

ival-div: 1.0ms (16% of total)

const: 0.0ms (0% of total)

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

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	400
1	78	400
2	83	400
3	86	400
4	87	400

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1152921504606847/1152921504606846976 binary64)) (/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/60 binary64)))))) #s(literal 2 binary64)) (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)))
(if (<=.f64 x #s(literal 3 binary64)) (/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/60 binary64)))))) #s(literal 2 binary64)) (/.f64 (expm1.f64 x) #s(literal 2 binary64)))
(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/60 binary64)))))) #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 #s(literal 1/6 binary64) (*.f64 x x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/4 binary64))))
x

Outputs
(if (<=.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1152921504606847/1152921504606846976 binary64)) (/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/60 binary64)))))) #s(literal 2 binary64)) (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)))
(if (<=.f64 x #s(literal 3 binary64)) (/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/60 binary64)))))) #s(literal 2 binary64)) (/.f64 (expm1.f64 x) #s(literal 2 binary64)))
(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/60 binary64)))))) #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 #s(literal 1/6 binary64) (*.f64 x x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/4 binary64))))
x

soundness1.1s (14.4%)

Rules

867×	`fma-define`
753×	`log1p-expm1-u`
753×	`expm1-log1p-u`
719×	`fma-neg`
629×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	841	19204
1	2144	17480
2	7180	17468
0	863	15878
1	2034	14453
2	7108	14441
0	25	224
1	269	188
2	3815	188
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	32	376
1	556	298

Stop Event

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

Compiler

Compiled 297 to 147 computations (50.5% saved)

preprocess51.0ms (0.7%)

Compiler: Compiled 446 to 212 computations (52.5% saved)

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

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

analyze0.0ms (0%)

sample1.6s (20.6%)

preprocess112.0ms (1.5%)

explain313.0ms (4.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify31.0ms (0.4%)

localize56.0ms (0.7%)

series4.0ms (0.1%)

rewrite543.0ms (7.1%)

simplify138.0ms (1.8%)

eval8.0ms (0.1%)

prune10.0ms (0.1%)

simplify202.0ms (2.6%)

localize190.0ms (2.5%)

series15.0ms (0.2%)

rewrite264.0ms (3.4%)

simplify292.0ms (3.8%)

eval61.0ms (0.8%)

prune162.0ms (2.1%)

simplify123.0ms (1.6%)

localize181.0ms (2.4%)

series21.0ms (0.3%)

rewrite239.0ms (3.1%)

simplify274.0ms (3.6%)

eval243.0ms (3.2%)

prune241.0ms (3.1%)

simplify136.0ms (1.8%)

localize276.0ms (3.6%)

series17.0ms (0.2%)

rewrite119.0ms (1.5%)

simplify311.0ms (4.1%)

eval180.0ms (2.3%)

prune95.0ms (1.2%)

regimes19.0ms (0.3%)

regimes8.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes5.0ms (0.1%)

regimes3.0ms (0%)

regimes3.0ms (0%)

bsearch0.0ms (0%)

bsearch15.0ms (0.2%)

simplify7.0ms (0.1%)

soundness1.1s (14.4%)

preprocess51.0ms (0.7%)

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