Metrics for x / (x^2 + 1)

analyze1.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
100%	100%	0%	0%	0%	0%	0%	2

Compiler

Compiled 9 to 6 computations (33.3% saved)

Precisions

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

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

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

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

const: 0.0ms (0% of total)

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

sample560.0ms (13.1%)

Results

366.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 208.0ms

ival-mult: 86.0ms (41.4% of total)

ival-div: 63.0ms (30.3% of total)

ival-add: 45.0ms (21.7% of total)

const: 10.0ms (4.8% of total)

backward-pass: 3.0ms (1.4% of total)

Bogosity

preprocess54.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

123×	`fma-define`
29×	`fma-neg`
23×	`associate-l`
21×	`times-frac`
15×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	100
1	39	100
2	75	100
3	149	100
4	271	100
5	410	100
6	501	100
7	503	100
8	515	100

Stop Event

1×

saturated

Calls

Call 1

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

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

Symmetry

(negabs x)

explain67.0ms (1.6%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
58	-	-	`(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))`
0	-	-	`x`
0	-	-	`(+.f64 (*.f64 x x) #s(literal 1 binary64))`
0	-	-	`(*.f64 x x)`
0	-	-	`#s(literal 1 binary64)`

Results

45.0ms

512×

valid

Compiler

Compiled 46 to 17 computations (63% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-div: 4.0ms (33.1% of total)

ival-mult: 4.0ms (33.1% of total)

ival-add: 3.0ms (24.8% of total)

const: 1.0ms (8.3% of total)

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

eval0.0ms (0%)

Compiler: Compiled 7 to 4 computations (42.9% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	78.8%	(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))

Compiler

Compiled 8 to 5 computations (37.5% saved)

localize28.0ms (0.6%)

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6272	(+.f64 (*.f64 x x) #s(literal 1 binary64))
✓	cost-diff	-6272	(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
✓	cost-diff	0	(*.f64 x x)
✓	accuracy	100.0%	(+.f64 (*.f64 x x) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	78.8%	(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))

Rules

3×	`1-exp`
1×	`fma-define`
1×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	57
1	18	57

Stop Event

1×

saturated

Calls

Call 1

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

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

Results

15.0ms

256×

valid

Compiler

Compiled 19 to 6 computations (68.4% saved)

Precisions

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

ival-div: 2.0ms (34.7% of total)

ival-mult: 2.0ms (34.7% of total)

ival-add: 1.0ms (17.4% of total)

const: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Counts

3 → 36

Calls

Call 1

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

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

Calls

9 calls:

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

rewrite200.0ms (4.7%)

Algorithm

1×	batch-egg-rewrite

Rules

500×	`log1p-expm1-u`
500×	`expm1-log1p-u`
459×	`unpow-prod-down`
435×	`pow1`
295×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	49
1	110	49
2	1432	49

Stop Event

1×	node limit

Counts

3 → 152

Calls

Call 1

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

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

simplify145.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

850×	`times-frac`
416×	`fma-define`
394×	`associate-/r*`
305×	`prod-exp`
256×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	399	4294972969
1	818	4294972832
2	1935	4294972619
3	7880	4294972619

Stop Event

1×	node limit

Counts

188 → 221

Calls

Call 1

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

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

eval25.0ms (0.6%)

Compiler: Compiled 2921 to 638 computations (78.2% saved)

prune106.0ms (2.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	215	6	221
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	215	7	222

Accuracy

100.0%

Counts

222 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	61.9%	(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))
✓	78.8%	(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
▶	50.4%	(/.f64 #s(literal 1 binary64) x)
▶	51.5%	(-.f64 x (pow.f64 x #s(literal 3 binary64)))
▶	49.4%	(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))
	51.6%	(+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64)))
▶	52.4%	x

Compiler

Compiled 96 to 69 computations (28.1% saved)

localize331.0ms (7.7%)

Algorithm

1×	egg-herbie

Localize:

Found 22 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(pow.f64 x #s(literal 3 binary64))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))
✓	cost-diff	0	(pow.f64 x #s(literal 3 binary64))
✓	cost-diff	0	(-.f64 x (pow.f64 x #s(literal 3 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))
✓	cost-diff	0	(pow.f64 x #s(literal 3 binary64))
✓	cost-diff	0	(-.f64 (pow.f64 x #s(literal 3 binary64)) x)
✓	cost-diff	0	(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))
✓	accuracy	100.0%	(pow.f64 x #s(literal 3 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))
✓	accuracy	99.4%	(/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))
✓	accuracy	100.0%	(pow.f64 x #s(literal 3 binary64))
✓	accuracy	100.0%	(-.f64 x (pow.f64 x #s(literal 3 binary64)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(pow.f64 x #s(literal 3 binary64))
✓	accuracy	100.0%	(-.f64 (pow.f64 x #s(literal 3 binary64)) x)
✓	accuracy	100.0%	(+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))
✓	accuracy	62.5%	(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))

Rules

583×	`fma-neg`
547×	`div-sub`
460×	`unsub-neg`
418×	`fma-define`
413×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	229
1	36	229
2	61	229
3	102	229
4	189	229
5	422	229
6	991	229
7	2688	229
8	4724	229
9	6643	229
10	7321	229
11	7519	229
12	7686	229
13	7792	229
14	7883	229

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))
(-.f64 (pow.f64 x #s(literal 3 binary64)) x)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))
#s(literal -1 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
x
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(-.f64 x (pow.f64 x #s(literal 3 binary64)))
x
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))
#s(literal -1 binary64)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)

Outputs
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))
(-.f64 (pow.f64 x #s(literal 3 binary64)) x)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))
#s(literal -1 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
x
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(-.f64 x (pow.f64 x #s(literal 3 binary64)))
x
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))
(+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))
#s(literal -1 binary64)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)

Results

42.0ms

256×

valid

Compiler

Compiled 73 to 15 computations (79.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-pow: 9.0ms (45.3% of total)

ival-div: 5.0ms (25.2% of total)

ival-sub: 2.0ms (10.1% of total)

ival-add: 2.0ms (10.1% of total)

const: 1.0ms (5% of total)

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

series9.0ms (0.2%)

Counts

8 → 60

Calls

Call 1

Inputs
#<alt (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))>
#<alt (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (-.f64 (pow.f64 x #s(literal 3 binary64)) x)>
#<alt (pow.f64 x #s(literal 3 binary64))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (-.f64 x (pow.f64 x #s(literal 3 binary64)))>
#<alt (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))>

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

Calls

24 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(/ (- (pow x 3) x) (+ -1 (pow x 4)))
0.0ms	x	@	-inf	(pow x 3)
0.0ms	x	@	inf	(/ (- (pow x 3) x) (+ -1 (pow x 4)))
0.0ms	x	@	inf	(+ -1 (pow x 4))
0.0ms	x	@	0	(/ (- (pow x 3) x) (+ -1 (pow x 4)))

rewrite235.0ms (5.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1055×	`log1p-expm1-u`
955×	`expm1-log1p-u`
129×	`add-cube-cbrt`
126×	`add-exp-log`
126×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	161
1	286	155
2	4580	155

Stop Event

1×	node limit

Counts

8 → 271

Calls

Call 1

Inputs
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))
(+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))
(-.f64 (pow.f64 x #s(literal 3 binary64)) x)
(pow.f64 x #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) x)
(-.f64 x (pow.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))

Outputs
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))))) #s(literal 1 binary64))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))) (sqrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 4 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (pow.f64 x #s(literal 3 binary64)) x))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (cbrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (sqrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (sqrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (pow.f64 (cbrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (cbrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 12 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))
(pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 2 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) #s(literal -1 binary64))
(neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 4 binary64))))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(exp.f64 (log.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 12 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 12 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 12 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 12 binary64))) (+.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 12 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) (neg.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)))
(pow.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(log1p.f64 (expm1.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(exp.f64 (log.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 8 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))
(+.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 x))
(+.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(+.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(+.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(+.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (neg.f64 x) (pow.f64 x #s(literal 3 binary64)))
(*.f64 x (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 x (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) x))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x)))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (sqrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x)))
(*.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))))
(*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x)) (-.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))) (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 2 binary64))) (+.f64 x (pow.f64 x #s(literal 3 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))))
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(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal -2 binary64))) (-.f64 (neg.f64 (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) x) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) x)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) x))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) x))))
(exp.f64 (log.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (neg.f64 (pow.f64 x #s(literal -3 binary64))))
(fma.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (pow.f64 (/.f64 (cbrt.f64 #s(literal -1 binary64)) x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (neg.f64 (pow.f64 x #s(literal -3 binary64))))
(fma.f64 (sqrt.f64 (neg.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 (neg.f64 (pow.f64 x #s(literal -3 binary64)))) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (pow.f64 x #s(literal -3 binary64))))

simplify156.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

892×	`fma-neg`
468×	`div-sub`
389×	`times-frac`
343×	`exp-prod`
224×	`cube-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	610	10412
1	1360	9656
2	5474	9655

Stop Event

1×	node limit

Counts

331 → 365

Calls

Call 1

Inputs
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (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 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))) x)
(/.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) x))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) x))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) x))
#s(literal -1 binary64)
(-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
(-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
(-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal 4 binary64))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(pow.f64 x #s(literal 4 binary64))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 x (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 x (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(pow.f64 x #s(literal 3 binary64))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1 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 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 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 x #s(literal 3 binary64))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)
(/.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) x))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) x))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) x))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))))) #s(literal 1 binary64))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))) (sqrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 4 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (pow.f64 x #s(literal 3 binary64)) x))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (cbrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (sqrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (sqrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (pow.f64 (cbrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (cbrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 12 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))
(pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 2 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) #s(literal -1 binary64))
(neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 4 binary64))))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
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(*.f64 (sqrt.f64 (neg.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 (neg.f64 (pow.f64 x #s(literal -3 binary64)))))
(*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1 binary64))
(pow.f64 (neg.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 (cbrt.f64 #s(literal -1 binary64)) x) #s(literal 3 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 9 binary64))) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (neg.f64 (pow.f64 x #s(literal -3 binary64)))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(neg.f64 (pow.f64 x #s(literal -3 binary64)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))
(log.f64 (exp.f64 (neg.f64 (pow.f64 x #s(literal -3 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 (pow.f64 x #s(literal -3 binary64))))))
(cbrt.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 9 binary64))))
(expm1.f64 (log1p.f64 (neg.f64 (pow.f64 x #s(literal -3 binary64)))))
(log1p.f64 (expm1.f64 (neg.f64 (pow.f64 x #s(literal -3 binary64)))))
(exp.f64 (log.f64 (neg.f64 (pow.f64 x #s(literal -3 binary64)))))
(exp.f64 (*.f64 (log.f64 (neg.f64 (pow.f64 x #s(literal -3 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -3 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 9 binary64))) (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -3 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (pow.f64 x #s(literal 4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 9 binary64))) (pow.f64 x #s(literal -3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -3 binary64))) (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))
(/.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (*.f64 x (neg.f64 (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) x))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 9 binary64))) (pow.f64 x #s(literal -3 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 9 binary64))) (pow.f64 x #s(literal -3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -3 binary64))))
(/.f64 (+.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (.f64 (neg.f64 x) #s(literal -1 binary64))) (.f64 (neg.f64 x) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (+.f64 (.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) (neg.f64 (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (.f64 (neg.f64 x) #s(literal 1 binary64))) (.f64 (neg.f64 x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))))
(/.f64 (+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) x) (.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))))
(/.f64 (+.f64 (.f64 #s(literal -1 binary64) (neg.f64 x)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)))
(/.f64 (+.f64 (neg.f64 x) (.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) (.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (neg.f64 x)))
(/.f64 (+.f64 (neg.f64 x) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (neg.f64 x)))
(/.f64 (+.f64 x (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) x))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 9 binary64))) (pow.f64 x #s(literal -3 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -3 binary64)))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal -2 binary64))) (-.f64 (neg.f64 (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) x) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) x)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) x))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) x))))
(exp.f64 (log.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (neg.f64 (pow.f64 x #s(literal -3 binary64))))
(fma.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (pow.f64 (/.f64 (cbrt.f64 #s(literal -1 binary64)) x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (neg.f64 (pow.f64 x #s(literal -3 binary64))))
(fma.f64 (sqrt.f64 (neg.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 (neg.f64 (pow.f64 x #s(literal -3 binary64)))) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (pow.f64 x #s(literal -3 binary64))))

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

eval51.0ms (1.2%)

Compiler: Compiled 6106 to 1005 computations (83.5% saved)

prune144.0ms (3.4%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	435	1	436
Fresh	0	1	1
Picked	1	4	5
Done	0	1	1
Total	436	7	443

Accuracy

100.0%

Counts

443 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	61.9%	(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))
✓	78.8%	(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
✓	50.4%	(/.f64 #s(literal 1 binary64) x)
▶	49.4%	(-.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -3 binary64)))
✓	51.5%	(-.f64 x (pow.f64 x #s(literal 3 binary64)))
▶	51.6%	(+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64)))
✓	52.4%	x

Compiler

Compiled 50 to 35 computations (30% saved)

localize281.0ms (6.6%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(pow.f64 x #s(literal -3 binary64))
	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(-.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -3 binary64)))
✓	cost-diff	0	(pow.f64 x #s(literal 5 binary64))
	cost-diff	0	(pow.f64 x #s(literal 3 binary64))
	cost-diff	0	(-.f64 x (pow.f64 x #s(literal 3 binary64)))
✓	cost-diff	0	(+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64)))
✓	accuracy	100.0%	(pow.f64 x #s(literal -3 binary64))
	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(-.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -3 binary64)))
✓	accuracy	100.0%	(pow.f64 x #s(literal 5 binary64))
	accuracy	100.0%	(pow.f64 x #s(literal 3 binary64))
	accuracy	100.0%	(-.f64 x (pow.f64 x #s(literal 3 binary64)))
✓	accuracy	73.8%	(+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64)))

Rules

2514×	`fma-neg`
821×	`fma-define`
617×	`distribute-lft-in`
321×	`unsub-neg`
301×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	130
1	32	130
2	59	130
3	106	130
4	197	130
5	402	130
6	745	130
7	1078	130
8	1753	130
9	2967	130
10	4260	130
11	4871	130
12	5070	130
13	5176	130
14	5207	130
15	5219	130
16	5219	130
17	5219	130

Stop Event

1×	node limit

Calls

Call 1

Inputs
(+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64)))
(-.f64 x (pow.f64 x #s(literal 3 binary64)))
x
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(pow.f64 x #s(literal 5 binary64))
#s(literal 5 binary64)
(-.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -3 binary64)))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(pow.f64 x #s(literal -3 binary64))
#s(literal -3 binary64)

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

Results

50.0ms

256×

valid

Compiler

Compiled 41 to 13 computations (68.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-pow: 18.0ms (74% of total)

ival-div: 2.0ms (8.2% of total)

ival-sub: 2.0ms (8.2% of total)

ival-add: 1.0ms (4.1% of total)

const: 1.0ms (4.1% of total)

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

series5.0ms (0.1%)

Counts

4 → 36

Calls

Call 1

Inputs
#<alt (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64)))>
#<alt (pow.f64 x #s(literal 5 binary64))>
#<alt (-.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -3 binary64)))>
#<alt (pow.f64 x #s(literal -3 binary64))>

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

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(+ (- x (pow x 3)) (pow x 5))
0.0ms	x	@	0	(pow x 5)
0.0ms	x	@	0	(+ (- x (pow x 3)) (pow x 5))
0.0ms	x	@	-inf	(pow x 5)
0.0ms	x	@	-inf	(+ (- x (pow x 3)) (pow x 5))

rewrite132.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1145×	`log1p-expm1-u`
1145×	`expm1-log1p-u`
704×	`fma-define`
377×	`fma-neg`
98×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	79
1	229	79
2	3328	79

Stop Event

1×	node limit

Counts

4 → 189

Calls

Call 1

Inputs
(+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64)))
(pow.f64 x #s(literal 5 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -3 binary64)))
(pow.f64 x #s(literal -3 binary64))

Outputs
(-.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (-.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))) (/.f64 (pow.f64 x #s(literal 10 binary64)) (-.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))))
(-.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) x) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (-.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(*.f64 (cbrt.f64 (-.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))) (pow.f64 (cbrt.f64 (-.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))))
(*.f64 (sqrt.f64 (-.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))) (sqrt.f64 (-.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))))
(*.f64 (+.f64 (pow.f64 x #s(literal 15 binary64)) (pow.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 x (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 10 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 x (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 15 binary64)) (pow.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) (-.f64 (pow.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 10 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 15 binary64)) (pow.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 x (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 15 binary64)) (pow.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 10 binary64)) (-.f64 (pow.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64))))))
(/.f64 (-.f64 (pow.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 10 binary64))) (-.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 15 binary64)) (pow.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 x (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 10 binary64)))) (neg.f64 (-.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))) (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 10 binary64)) (pow.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 x (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))) (+.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(pow.f64 (-.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))))))
(cbrt.f64 (pow.f64 (-.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))))
(log1p.f64 (expm1.f64 (-.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))))
(exp.f64 (log.f64 (-.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))))
(exp.f64 (*.f64 (log.f64 (-.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(fma.f64 x #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))
(fma.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 5 binary64)))
(fma.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))
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(fma.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 x #s(literal -4 binary64))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -3 binary64))))
(fma.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 x #s(literal -4 binary64))))) (fma.f64 (neg.f64 (pow.f64 x #s(literal -3/2 binary64))) (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -3 binary64))))
(fma.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -3 binary64)))) (fma.f64 (neg.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1 binary64) (pow.f64 x #s(literal -3 binary64))))
(fma.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -3 binary64)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -3 binary64))))
(fma.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -3 binary64)))) (fma.f64 (neg.f64 (pow.f64 x #s(literal -3/2 binary64))) (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -3 binary64))))
(fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (neg.f64 (pow.f64 x #s(literal -3/2 binary64))) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (neg.f64 (pow.f64 x #s(literal -3/2 binary64))) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (neg.f64 (pow.f64 x #s(literal -3 binary64))))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (*.f64 (neg.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (neg.f64 (pow.f64 x #s(literal -3 binary64))))
(fma.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (*.f64 (neg.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 x #s(literal -3 binary64)))) (cbrt.f64 (neg.f64 (pow.f64 x #s(literal -3 binary64))))) (cbrt.f64 (neg.f64 (pow.f64 x #s(literal -3 binary64)))) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 (neg.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 (neg.f64 (pow.f64 x #s(literal -3 binary64)))) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -3/2 binary64))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -3/2 binary64))) (fma.f64 (neg.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1 binary64) (pow.f64 x #s(literal -3 binary64))))
(fma.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -3/2 binary64))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -3/2 binary64))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -3 binary64))))
(fma.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -3/2 binary64))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -3/2 binary64))) (fma.f64 (neg.f64 (pow.f64 x #s(literal -3/2 binary64))) (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -3 binary64))))
(fma.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal -3 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -3/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(/.f64 (pow.f64 x #s(literal -2 binary64)) x)
(/.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x)
(/.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (neg.f64 x))
(sqrt.f64 (pow.f64 x #s(literal -6 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal -3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal -3 binary64)))))
(cbrt.f64 (pow.f64 x #s(literal -9 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal -3 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal -3 binary64))))
(exp.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1 binary64)))

simplify212.0ms (5%)

Algorithm

1×	egg-herbie

Rules

555×	`times-frac`
452×	`distribute-rgt-in`
446×	`distribute-lft-in`
314×	`fma-neg`
173×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	410	8198
1	886	7928
2	2433	7282

Stop Event

1×	node limit

Counts

225 → 244

Calls

Call 1

Inputs
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (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 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))))
(pow.f64 x #s(literal 5 binary64))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 x #s(literal 5 binary64))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)
(/.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) x))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) x))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) x))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(-.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (-.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))) (/.f64 (pow.f64 x #s(literal 10 binary64)) (-.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))))
(-.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) x) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (-.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(*.f64 (cbrt.f64 (-.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))) (pow.f64 (cbrt.f64 (-.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))))
(*.f64 (sqrt.f64 (-.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))) (sqrt.f64 (-.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))))
(*.f64 (+.f64 (pow.f64 x #s(literal 15 binary64)) (pow.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 x (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 10 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 x (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 15 binary64)) (pow.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) (-.f64 (pow.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 10 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 15 binary64)) (pow.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 x (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 15 binary64)) (pow.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 10 binary64)) (-.f64 (pow.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64))))))
(/.f64 (-.f64 (pow.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 10 binary64))) (-.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 15 binary64)) (pow.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 x (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 10 binary64)))) (neg.f64 (-.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))) (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 10 binary64)) (pow.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 x (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))) (+.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(pow.f64 (-.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))))))
(cbrt.f64 (pow.f64 (-.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))))
(log1p.f64 (expm1.f64 (-.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))))
(exp.f64 (log.f64 (-.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))))
(exp.f64 (*.f64 (log.f64 (-.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(fma.f64 x #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))
(fma.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 5 binary64)))
(fma.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))
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(fma.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 x #s(literal -4 binary64))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -3 binary64))))
(fma.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 x #s(literal -4 binary64))))) (fma.f64 (neg.f64 (pow.f64 x #s(literal -3/2 binary64))) (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -3 binary64))))
(fma.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -3 binary64)))) (fma.f64 (neg.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1 binary64) (pow.f64 x #s(literal -3 binary64))))
(fma.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -3 binary64)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -3 binary64))))
(fma.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -3 binary64)))) (fma.f64 (neg.f64 (pow.f64 x #s(literal -3/2 binary64))) (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -3 binary64))))
(fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (neg.f64 (pow.f64 x #s(literal -3/2 binary64))) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (neg.f64 (pow.f64 x #s(literal -3/2 binary64))) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (neg.f64 (pow.f64 x #s(literal -3 binary64))))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (*.f64 (neg.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (neg.f64 (pow.f64 x #s(literal -3 binary64))))
(fma.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (*.f64 (neg.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 x #s(literal -3 binary64)))) (cbrt.f64 (neg.f64 (pow.f64 x #s(literal -3 binary64))))) (cbrt.f64 (neg.f64 (pow.f64 x #s(literal -3 binary64)))) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 (neg.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 (neg.f64 (pow.f64 x #s(literal -3 binary64)))) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -3/2 binary64))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -3/2 binary64))) (fma.f64 (neg.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1 binary64) (pow.f64 x #s(literal -3 binary64))))
(fma.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -3/2 binary64))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -3/2 binary64))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -3 binary64))))
(fma.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -3/2 binary64))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -3/2 binary64))) (fma.f64 (neg.f64 (pow.f64 x #s(literal -3/2 binary64))) (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -3 binary64))))
(fma.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal -3 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -3/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(/.f64 (pow.f64 x #s(literal -2 binary64)) x)
(/.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x)
(/.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (neg.f64 x))
(sqrt.f64 (pow.f64 x #s(literal -6 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal -3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal -3 binary64)))))
(cbrt.f64 (pow.f64 x #s(literal -9 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal -3 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal -3 binary64))))
(exp.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1 binary64)))

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

eval42.0ms (1%)

Compiler: Compiled 5158 to 825 computations (84% saved)

prune51.0ms (1.2%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	343	0	343
Fresh	0	0	0
Picked	0	2	2
Done	0	5	5
Total	343	7	350

Accuracy

100.0%

Counts

350 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	61.9%	(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))
✓	78.8%	(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
✓	50.4%	(/.f64 #s(literal 1 binary64) x)
✓	49.4%	(-.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -3 binary64)))
✓	51.5%	(-.f64 x (pow.f64 x #s(literal 3 binary64)))
✓	51.6%	(+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64)))
✓	52.4%	x

Compiler

Compiled 103 to 58 computations (43.7% saved)

regimes8.0ms (0.2%)

Counts

8 → 2

Calls

Call 1

Inputs
x
(/.f64 #s(literal 1 binary64) x)
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
(-.f64 x (pow.f64 x #s(literal 3 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -3 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))
(+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))

Outputs
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -3 binary64)))

Calls

2 calls:

5.0ms	(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
3.0ms	x

Results

Accuracy	Segments	Branch
100.0%	2	`x`
99.9%	2	`(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes3.0ms (0.1%)

Counts

7 → 2

Calls

Call 1

Inputs
x
(/.f64 #s(literal 1 binary64) x)
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
(-.f64 x (pow.f64 x #s(literal 3 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -3 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))
(+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64)))

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
100.0%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0.1%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
100.0%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

2 → 2

Calls

Call 1

Inputs
x
(/.f64 #s(literal 1 binary64) x)

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
99.1%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
52.4%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch293.0ms (6.8%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
5.0ms	0.049399782785997985	22618.760498395866

Results

3.0ms

64×

valid

Compiler

Compiled 100 to 76 computations (24% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

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

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

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

const: 0.0ms (0% of total)

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

bsearch7.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
6.0ms	0.049399782785997985	22618.760498395866

Results

4.0ms

80×

valid

Compiler

Compiled 102 to 73 computations (28.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-div: 1.0ms (58.6% of total)

ival-mult: 1.0ms (58.6% of total)

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

const: 0.0ms (0% of total)

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

bsearch3.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
2.0ms	283716.6949664648	607035754.525549

Results

1.0ms

32×

valid

Compiler

Compiled 40 to 28 computations (30% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

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

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

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

const: 0.0ms (0% of total)

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

bsearch13.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.049399782785997985	22618.760498395866

Results

8.0ms

144×

valid

Compiler

Compiled 84 to 62 computations (26.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-div: 1.0ms (32% of total)

ival-add: 1.0ms (32% of total)

ival-mult: 1.0ms (32% of total)

const: 0.0ms (0% of total)

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

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`+-commutative`
4×	`sub-neg`
3×	`1-exp`
2×	`*-commutative`
2×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	222
1	47	222
2	53	222
3	57	222
4	59	222

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal 5000 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -3 binary64))))
(if (<=.f64 x #s(literal 10000 binary64)) (/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -3 binary64))))
(if (<=.f64 x #s(literal 20000000 binary64)) (/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
(if (<=.f64 x #s(literal 1 binary64)) x (/.f64 #s(literal 1 binary64) x))
x

Outputs
(if (<=.f64 x #s(literal 5000 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -3 binary64))))
(if (<=.f64 x #s(literal 10000 binary64)) (/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -3 binary64))))
(if (<=.f64 x #s(literal 10000 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -3 binary64))))
(if (<=.f64 x #s(literal 20000000 binary64)) (/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
(if (<=.f64 x #s(literal 20000000 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x))
(if (<=.f64 x #s(literal 1 binary64)) x (/.f64 #s(literal 1 binary64) x))
x

soundness1.0s (24.5%)

Rules

1055×	`log1p-expm1-u`
955×	`expm1-log1p-u`
892×	`fma-neg`
850×	`times-frac`
500×	`log1p-expm1-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	399	4294972969
1	818	4294972832
2	1935	4294972619
3	7880	4294972619
0	9	49
1	110	49
2	1432	49
0	610	10412
1	1360	9656
2	5474	9655
0	18	161
1	286	155
2	4580	155

Stop Event

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

Compiler

Compiled 592 to 184 computations (68.9% saved)

preprocess52.0ms (1.2%)

Compiler: Compiled 252 to 144 computations (42.9% saved)

x / (x^2 + 1)

analyze1.0ms (0%)

sample560.0ms (13.1%)

preprocess54.0ms (1.3%)

explain67.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

localize28.0ms (0.6%)

series4.0ms (0.1%)

rewrite200.0ms (4.7%)

simplify145.0ms (3.4%)

eval25.0ms (0.6%)

prune106.0ms (2.5%)

localize331.0ms (7.7%)

series9.0ms (0.2%)

rewrite235.0ms (5.5%)

simplify156.0ms (3.6%)

eval51.0ms (1.2%)

prune144.0ms (3.4%)

localize281.0ms (6.6%)

series5.0ms (0.1%)

rewrite132.0ms (3.1%)

simplify212.0ms (5%)

eval42.0ms (1%)

prune51.0ms (1.2%)

regimes8.0ms (0.2%)

regimes3.0ms (0.1%)

regimes2.0ms (0.1%)

regimes2.0ms (0%)

regimes1.0ms (0%)

bsearch293.0ms (6.8%)

bsearch7.0ms (0.2%)

bsearch3.0ms (0.1%)

bsearch13.0ms (0.3%)

simplify5.0ms (0.1%)

soundness1.0s (24.5%)

preprocess52.0ms (1.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	15	100
1	39	100
2	75	100
3	149	100
4	271	100
5	410	100
6	501	100
7	503	100
8	515	100

Iter	Nodes	Cost
0	15	100
1	39	100
2	75	100
3	149	100
4	271	100
5	410	100
6	501	100
7	503	100
8	515	100

Iter	Nodes	Cost
0	15	100
1	39	100
2	75	100
3	149	100
4	271	100
5	410	100
6	501	100
7	503	100
8	515	100