Metrics for sqrt E (should all be same)

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 10 to 6 computations (40% saved)

Precisions

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

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

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

const: 0.0ms (0% of total)

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

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

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

sample608.0ms (21.7%)

Results

446.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 242.0ms

ival-pow: 114.0ms (47.1% of total)

ival-sqrt: 64.0ms (26.4% of total)

ival-add: 49.0ms (20.2% of total)

ival-true: 9.0ms (3.7% of total)

const: 4.0ms (1.7% of total)

backward-pass: 2.0ms (0.8% of total)

Bogosity

preprocess46.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

57×	`fma-define`
43×	`fma-neg`
28×	`associate-r`
26×	`unsub-neg`
14×	`distribute-rgt-neg-out`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	88
1	25	56
2	54	56
3	171	56
4	322	56
5	397	56
6	413	56

Stop Event

1×

saturated

Calls

Call 1

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

Outputs
(sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(hypot.f64 x x)
(sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(hypot.f64 x x)
(sqrt.f64 (+.f64 (pow.f64 (neg.f64 x) #s(literal 2 binary64)) (pow.f64 (neg.f64 x) #s(literal 2 binary64))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(hypot.f64 x x)
(neg.f64 (sqrt.f64 (+.f64 (pow.f64 (neg.f64 x) #s(literal 2 binary64)) (pow.f64 (neg.f64 x) #s(literal 2 binary64)))))
(neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (neg.f64 x) #s(literal 2 binary64)))))
(neg.f64 (hypot.f64 x x))

Symmetry

(abs x)

explain63.0ms (2.2%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
115	-	4	(7.33620814363322e-160)	`(sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))`
0	-	0	-	`x`
0	-	0	-	`(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`
0	-	0	-	`(pow.f64 x #s(literal 2 binary64))`
0	-	0	-	`#s(literal 2 binary64)`

Results

33.0ms

512×

valid

Compiler

Compiled 53 to 17 computations (67.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-pow: 7.0ms (49.3% of total)

ival-sqrt: 4.0ms (28.2% of total)

ival-add: 3.0ms (21.1% of total)

ival-true: 1.0ms (7% of total)

const: 0.0ms (0% of total)

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

eval0.0ms (0%)

Compiler: Compiled 10 to 6 computations (40% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(hypot.f64 x x)
▶	58.8%	(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6528	(hypot.f64 x x)
✓	cost-diff	0	(pow.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
✓	cost-diff	6528	(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))

Rules

2×	`*-commutative`
2×	`associate-r`
2×	`count-2`
1×	`hypot-undefine`
1×	`unpow2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	75
1	16	61
2	24	61
3	25	61

Stop Event

1×

saturated

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal 2 binary64)
(pow.f64 x #s(literal 2 binary64))
x
(hypot.f64 x x)
x

Outputs
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(hypot.f64 x x)
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal 2 binary64)
(pow.f64 x #s(literal 2 binary64))
x
(hypot.f64 x x)
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
x

localize33.0ms (1.2%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(hypot.f64 x x)
✓	accuracy	100.0%	(pow.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
✓	accuracy	58.8%	(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))

Results

25.0ms

256×

valid

Compiler

Compiled 22 to 7 computations (68.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 4.0ms (27% of total)

ival-hypot: 4.0ms (27% of total)

ival-pow: 4.0ms (27% of total)

ival-sqrt: 2.0ms (13.5% of total)

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

const: 0.0ms (0% of total)

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

series6.0ms (0.2%)

Counts

4 → 24

Calls

Call 1

Inputs
#<alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (hypot.f64 x x)>

Outputs
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))>

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(sqrt (* 2 (pow x 2)))
1.0ms	x	@	inf	(* 2 (pow x 2))
1.0ms	x	@	inf	(sqrt (* 2 (pow x 2)))
0.0ms	x	@	0	(* 2 (pow x 2))
0.0ms	x	@	inf	(pow x 2)

rewrite261.0ms (9.3%)

Algorithm

1×	batch-egg-rewrite

Rules

412×	`unpow-prod-down`
318×	`log1p-expm1-u`
318×	`expm1-log1p-u`
305×	`add-exp-log`
290×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	66
1	112	52
2	1244	52

Stop Event

1×	node limit

Counts

4 → 203

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(hypot.f64 x x)

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

simplify69.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

61×	`*-commutative`
49×	`associate-l`
47×	`associate-r`
35×	`exp-prod`
29×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	316	6272
1	477	6272
2	983	6272

Stop Event

1×

unsound

Counts

227 → 157

Calls

Call 1

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

Outputs
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
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(hypot.f64 x x)
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (hypot.f64 x x))) #s(literal 1/3 binary64)))
(hypot.f64 x x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) #s(literal 2 binary64)))
(hypot.f64 x x)

eval23.0ms (0.8%)

Compiler: Compiled 1554 to 450 computations (71% saved)

prune18.0ms (0.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	153	4	157
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	154	5	159

Accuracy

100.0%

Counts

159 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.0%	(pow.f64 (cbrt.f64 (hypot.f64 x x)) #s(literal 3 binary64))
✓	100.0%	(hypot.f64 x x)
▶	99.4%	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
▶	99.3%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
▶	58.8%	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))

Compiler

Compiled 31 to 22 computations (29% saved)

simplify9.0ms (0.3%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
	cost-diff	-192	(hypot.f64 x x)
✓	cost-diff	0	(cbrt.f64 (hypot.f64 x x))
✓	cost-diff	12864	(pow.f64 (cbrt.f64 (hypot.f64 x x)) #s(literal 3 binary64))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) x)
✓	cost-diff	0	(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
✓	cost-diff	0	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 #s(literal 2 binary64) (.f64 x x))
✓	cost-diff	192	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))

Rules

4×	`*-commutative`
2×	`count-2`
1×	`cube-mult`
1×	`associate-r`
1×	`hypot-undefine`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	216
1	30	186
2	35	186
3	35	186

Stop Event

1×

saturated

Calls

Call 1

Inputs
(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))
(.f64 #s(literal 2 binary64) (.f64 x x))
#s(literal 2 binary64)
(*.f64 x x)
x
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
x
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(sqrt.f64 x)
(pow.f64 (cbrt.f64 (hypot.f64 x x)) #s(literal 3 binary64))
(cbrt.f64 (hypot.f64 x x))
(hypot.f64 x x)
x
#s(literal 3 binary64)

Outputs
(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))
(hypot.f64 x x)
(.f64 #s(literal 2 binary64) (.f64 x x))
#s(literal 2 binary64)
(*.f64 x x)
x
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
x
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(sqrt.f64 x)
(pow.f64 (cbrt.f64 (hypot.f64 x x)) #s(literal 3 binary64))
(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))
(hypot.f64 x x)
(cbrt.f64 (hypot.f64 x x))
(hypot.f64 x x)
(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))
x
#s(literal 3 binary64)

localize77.0ms (2.7%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(hypot.f64 x x)
✓	accuracy	98.9%	(pow.f64 (cbrt.f64 (hypot.f64 x x)) #s(literal 3 binary64))
✓	accuracy	98.7%	(cbrt.f64 (hypot.f64 x x))
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) x)
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.6%	(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
✓	accuracy	99.4%	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	99.3%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(.f64 #s(literal 2 binary64) (.f64 x x))
✓	accuracy	58.8%	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))

Results

58.0ms

256×

valid

Compiler

Compiled 59 to 16 computations (72.9% saved)

Precisions

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

ival-mult: 9.0ms (29.9% of total)

ival-sqrt: 7.0ms (23.3% of total)

ival-pow: 6.0ms (19.9% of total)

ival-hypot: 5.0ms (16.6% of total)

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

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

const: 0.0ms (0% of total)

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

series23.0ms (0.8%)

Counts

11 → 100

Calls

Call 1

Inputs
#<alt (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x x))>
#<alt (*.f64 x x)>
#<alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)>
#<alt (sqrt.f64 #s(literal 2 binary64))>
#<alt (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))>
#<alt (sqrt.f64 (*.f64 #s(literal 2 binary64) x))>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (sqrt.f64 x)>
#<alt (pow.f64 (cbrt.f64 (hypot.f64 x x)) #s(literal 3 binary64))>
#<alt (cbrt.f64 (hypot.f64 x x))>

Outputs
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (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 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))>
#<alt (cbrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))>
#<alt (cbrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))>
#<alt (cbrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))>
#<alt (cbrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))>
#<alt (cbrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))>
#<alt (cbrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))>
#<alt (cbrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))>
#<alt (cbrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (cbrt.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (cbrt.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (cbrt.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (cbrt.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64)))))>

Calls

30 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(cbrt (sqrt (+ (* x x) (* x x))))
2.0ms	x	@	inf	(cbrt (sqrt (+ (* x x) (* x x))))
1.0ms	x	@	0	(sqrt (* 2 x))
1.0ms	x	@	-inf	(* (sqrt (* 2 x)) (sqrt x))
0.0ms	x	@	inf	(sqrt (* 2 x))

rewrite161.0ms (5.7%)

Algorithm

1×	batch-egg-rewrite

Rules

704×	`log1p-expm1-u`
704×	`expm1-log1p-u`
468×	`log-prod`
288×	`pow-unpow`
190×	`pow-pow`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	160
1	269	132
2	2662	132

Stop Event

1×	node limit

Counts

11 → 410

Calls

Call 1

Inputs
(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))
(.f64 #s(literal 2 binary64) (.f64 x x))
(*.f64 x x)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 #s(literal 2 binary64))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(sqrt.f64 x)
(pow.f64 (cbrt.f64 (hypot.f64 x x)) #s(literal 3 binary64))
(cbrt.f64 (hypot.f64 x x))

Outputs
(+.f64 #s(literal 0 binary64) (hypot.f64 x x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x x)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x x)))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 x x))) #s(literal 1 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (hypot.f64 x x) #s(literal 1 binary64))
(*.f64 (hypot.f64 x x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 #s(literal 2 binary64) x)))
(.f64 (cbrt.f64 (hypot.f64 x x)) (cbrt.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (hypot.f64 x x))
(.f64 (cbrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)) x))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) (.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (hypot.f64 x x)))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/6 binary64)) (sqrt.f64 x)))
(.f64 (cbrt.f64 x) (.f64 (pow.f64 x #s(literal 1/6 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 x)))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))))
(.f64 (pow.f64 (hypot.f64 x x) #s(literal 1/6 binary64)) (.f64 (pow.f64 (hypot.f64 x x) #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 (hypot.f64 x x)) (sqrt.f64 (hypot.f64 x x)))
(.f64 (.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) (cbrt.f64 (hypot.f64 x x)))
(.f64 (.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))) (cbrt.f64 (cbrt.f64 (hypot.f64 x x))))
(.f64 (.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (hypot.f64 x x) #s(literal 1/6 binary64))) (pow.f64 (hypot.f64 x x) #s(literal 1/6 binary64)))
(.f64 (.f64 x (cbrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)))
(.f64 (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(.f64 (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (cbrt.f64 x)) (pow.f64 x #s(literal 1/6 binary64)))
(.f64 (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (.f64 (sqrt.f64 x) (cbrt.f64 (.f64 #s(literal 2 binary64) x))) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/6 binary64)))
(.f64 (.f64 (sqrt.f64 x) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)))
(pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (hypot.f64 x x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 x x)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) #s(literal 9 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (hypot.f64 x x) #s(literal 6 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (hypot.f64 x x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
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(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3/2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)))
(+.f64 x x)
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/6 binary64)) #s(literal 6 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3/2 binary64)) #s(literal 2/3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) x)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 1/3 binary64)))
(fma.f64 x #s(literal 1 binary64) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x)
(fma.f64 #s(literal 1 binary64) x x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x)
(fma.f64 (cbrt.f64 x) (*.f64 (pow.f64 x #s(literal 1/6 binary64)) (sqrt.f64 x)) x)
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 x)) x)
(fma.f64 (*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)) x)
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) (cbrt.f64 x) x)
(fma.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 x)) (pow.f64 x #s(literal 1/6 binary64)) x)
(+.f64 #s(literal 0 binary64) (sqrt.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 x))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(*.f64 (sqrt.f64 x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(pow.f64 x #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 x))
(log.f64 (exp.f64 (sqrt.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 x))))
(cbrt.f64 (pow.f64 x #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 x)))
(exp.f64 (log.f64 (sqrt.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3/2 binary64) (log.f64 x)) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (hypot.f64 x x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x x)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x x)))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 x x))) #s(literal 1 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (hypot.f64 x x) #s(literal 1 binary64))
(*.f64 (hypot.f64 x x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 #s(literal 2 binary64) x)))
(.f64 (cbrt.f64 (hypot.f64 x x)) (cbrt.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (hypot.f64 x x))
(.f64 (cbrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)) x))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) (.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (hypot.f64 x x)))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/6 binary64)) (sqrt.f64 x)))
(.f64 (cbrt.f64 x) (.f64 (pow.f64 x #s(literal 1/6 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 x)))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))))
(.f64 (pow.f64 (hypot.f64 x x) #s(literal 1/6 binary64)) (.f64 (pow.f64 (hypot.f64 x x) #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 (hypot.f64 x x)) (sqrt.f64 (hypot.f64 x x)))
(.f64 (.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) (cbrt.f64 (hypot.f64 x x)))
(.f64 (.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))) (cbrt.f64 (cbrt.f64 (hypot.f64 x x))))
(.f64 (.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (hypot.f64 x x) #s(literal 1/6 binary64))) (pow.f64 (hypot.f64 x x) #s(literal 1/6 binary64)))
(.f64 (.f64 x (cbrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)))
(.f64 (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(.f64 (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (cbrt.f64 x)) (pow.f64 x #s(literal 1/6 binary64)))
(.f64 (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (.f64 (sqrt.f64 x) (cbrt.f64 (.f64 #s(literal 2 binary64) x))) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/6 binary64)))
(.f64 (.f64 (sqrt.f64 x) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fabs.f64 (hypot.f64 x x))
(log.f64 (exp.f64 (hypot.f64 x x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 x x))))
(cbrt.f64 (pow.f64 (hypot.f64 x x) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(cbrt.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(log1p.f64 (expm1.f64 (hypot.f64 x x)))
(exp.f64 (log.f64 (hypot.f64 x x)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x x)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2/3 binary64) (log.f64 (hypot.f64 x x))) #s(literal 3/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (hypot.f64 x x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (cbrt.f64 (hypot.f64 x x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (hypot.f64 x x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (hypot.f64 x x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (hypot.f64 x x))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (hypot.f64 x x))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (hypot.f64 x x)))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (hypot.f64 x x)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (hypot.f64 x x)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 x x)))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)) (cbrt.f64 x))
(.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/6 binary64)))
(.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) (cbrt.f64 (cbrt.f64 (hypot.f64 x x))))
(*.f64 (cbrt.f64 x) (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (hypot.f64 x x) #s(literal 1/6 binary64)) (pow.f64 (hypot.f64 x x) #s(literal 1/6 binary64)))
(pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))
(pow.f64 (hypot.f64 x x) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 x x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 3/2 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1/12 binary64))
(pow.f64 (pow.f64 (hypot.f64 x x) #s(literal 6 binary64)) #s(literal 1/18 binary64))
(pow.f64 (pow.f64 (hypot.f64 x x) #s(literal 3 binary64)) #s(literal 1/9 binary64))
(pow.f64 (pow.f64 (hypot.f64 x x) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 x x)) #s(literal 2/3 binary64))
(sqrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(log.f64 (exp.f64 (cbrt.f64 (hypot.f64 x x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (hypot.f64 x x)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (hypot.f64 x x))))
(log1p.f64 (expm1.f64 (cbrt.f64 (hypot.f64 x x))))
(exp.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x x)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/6 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/6 binary64) (log.f64 (hypot.f64 x x))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2/3 binary64) (log.f64 (hypot.f64 x x))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))) #s(literal 3/2 binary64)))

simplify274.0ms (9.8%)

Algorithm

1×	egg-herbie

Rules

197×	`associate-r`
174×	`associate-l`
155×	`*-commutative`
128×	`exp-prod`
106×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	581	17179879468
1	1007	17179879468
2	2571	17179879468

Stop Event

1×

unsound

Counts

510 → 345

Calls

Call 1

Inputs
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(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))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
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(.f64 (.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (hypot.f64 x x) #s(literal 1/6 binary64))) (pow.f64 (hypot.f64 x x) #s(literal 1/6 binary64)))
(.f64 (.f64 x (cbrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)))
(.f64 (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(.f64 (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (cbrt.f64 x)) (pow.f64 x #s(literal 1/6 binary64)))
(.f64 (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (.f64 (sqrt.f64 x) (cbrt.f64 (.f64 #s(literal 2 binary64) x))) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/6 binary64)))
(.f64 (.f64 (sqrt.f64 x) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fabs.f64 (hypot.f64 x x))
(log.f64 (exp.f64 (hypot.f64 x x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 x x))))
(cbrt.f64 (pow.f64 (hypot.f64 x x) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(cbrt.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(log1p.f64 (expm1.f64 (hypot.f64 x x)))
(exp.f64 (log.f64 (hypot.f64 x x)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x x)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2/3 binary64) (log.f64 (hypot.f64 x x))) #s(literal 3/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (hypot.f64 x x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (cbrt.f64 (hypot.f64 x x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (hypot.f64 x x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (hypot.f64 x x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (hypot.f64 x x))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (hypot.f64 x x))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (hypot.f64 x x)))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (hypot.f64 x x)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (hypot.f64 x x)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 x x)))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)) (cbrt.f64 x))
(.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/6 binary64)))
(.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) (cbrt.f64 (cbrt.f64 (hypot.f64 x x))))
(*.f64 (cbrt.f64 x) (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (hypot.f64 x x) #s(literal 1/6 binary64)) (pow.f64 (hypot.f64 x x) #s(literal 1/6 binary64)))
(pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))
(pow.f64 (hypot.f64 x x) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 x x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 3/2 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1/12 binary64))
(pow.f64 (pow.f64 (hypot.f64 x x) #s(literal 6 binary64)) #s(literal 1/18 binary64))
(pow.f64 (pow.f64 (hypot.f64 x x) #s(literal 3 binary64)) #s(literal 1/9 binary64))
(pow.f64 (pow.f64 (hypot.f64 x x) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 x x)) #s(literal 2/3 binary64))
(sqrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(log.f64 (exp.f64 (cbrt.f64 (hypot.f64 x x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (hypot.f64 x x)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (hypot.f64 x x))))
(log1p.f64 (expm1.f64 (cbrt.f64 (hypot.f64 x x))))
(exp.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x x)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/6 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/6 binary64) (log.f64 (hypot.f64 x x))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2/3 binary64) (log.f64 (hypot.f64 x x))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))) #s(literal 3/2 binary64)))

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

eval45.0ms (1.6%)

Compiler: Compiled 3423 to 973 computations (71.6% saved)

prune38.0ms (1.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	345	1	346
Fresh	0	0	0
Picked	2	2	4
Done	0	1	1
Total	347	4	351

Accuracy

100.0%

Counts

351 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(hypot.f64 x x)
▶	99.1%	(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x)
✓	99.3%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓	58.8%	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))

Compiler

Compiled 24 to 17 computations (29.2% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New

Metric

Score

Program

✓

cost-diff

(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))

✓

cost-diff

6528

(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))

✓

cost-diff

6528

(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x)

Rules

3×	`*-commutative`
1×	`associate-r`
1×	`pow-sqr`
1×	`unpow2`
1×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	48
1	12	36
2	19	32
3	22	32

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x)
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
#s(literal 2 binary64)
#s(literal 1/4 binary64)
x

Outputs
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x)
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) x)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(sqrt.f64 #s(literal 2 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
#s(literal 2 binary64)
#s(literal 1/4 binary64)
x

localize78.0ms (2.8%)

Localize:

Found 3 expressions of interest:

New

Metric

Score

Program

✓

accuracy

100.0%

(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))

✓

accuracy

99.3%

(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x)

✓

accuracy

98.4%

(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))

Results

67.0ms

256×

valid

Compiler

Compiled 20 to 7 computations (65% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-pow: 9.0ms (78.5% of total)

ival-mult: 2.0ms (17.4% of total)

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

const: 0.0ms (0% of total)

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

series2.0ms (0.1%)

Counts

3 → 12

Calls

Call 1

Inputs

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

#<alt (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))>

#<alt (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))>

Outputs
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(* (pow (pow 2 1/4) 2) x)
0.0ms	x	@	inf	(* (pow (pow 2 1/4) 2) x)
0.0ms	x	@	-inf	(* (pow (pow 2 1/4) 2) x)

rewrite99.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

318×	`log1p-expm1-u`
318×	`expm1-log1p-u`
308×	`unpow-prod-down`
296×	`add-exp-log`
287×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	98	26
2	1028	26

Stop Event

1×	node limit

Counts

3 → 83

Calls

Call 1

Inputs

(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x)

(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))

(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))

Outputs
(+.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 8 binary64))) x))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 1 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 8 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x)))) (sqrt.f64 (log.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))) x))
(cbrt.f64 (*.f64 (sqrt.f64 #s(literal 8 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 #s(literal 8 binary64))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)) (cbrt.f64 #s(literal 2 binary64)))
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5/6 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/12 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/12 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) (cbrt.f64 #s(literal 2 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64))))
(.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) (pow.f64 #s(literal 2 binary64) #s(literal 1/12 binary64)))
(.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (cbrt.f64 #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64))))
(sqrt.f64 #s(literal 2 binary64))
(log.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))))
(cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (sqrt.f64 #s(literal 2 binary64))))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 8 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/12 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/12 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 #s(literal 2 binary64))) (pow.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5/6 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5/6 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 #s(literal 4 binary64))) (cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/12 binary64))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/16 binary64)) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/16 binary64)) (sqrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)) #s(literal 1/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/16 binary64)))
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5/6 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/12 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (cbrt.f64 #s(literal 4 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/12 binary64))))
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 5/8 binary64)) #s(literal 1/3 binary64)) (sqrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/12 binary64))))
(*.f64 (cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 5/8 binary64))) (sqrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/12 binary64))))
(*.f64 (sqrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/16 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5/6 binary64))) (sqrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/12 binary64))))
(sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))
(fabs.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(log.f64 (exp.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/4 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/12 binary64))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3/4 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/8 binary64)))

simplify80.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

624×	`fma-neg`
508×	`exp-sum`
417×	`associate-+r-`
342×	`associate-+l-`
294×	`fma-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	212	1563
1	334	1551
2	560	1527
3	1170	1515
4	3947	1515

Stop Event

1×	node limit

Counts

95 → 97

Calls

Call 1

Inputs
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 8 binary64))) x))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 1 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 8 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x)))) (sqrt.f64 (log.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))) x))
(cbrt.f64 (*.f64 (sqrt.f64 #s(literal 8 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 #s(literal 8 binary64))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)) (cbrt.f64 #s(literal 2 binary64)))
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5/6 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/12 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/12 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) (cbrt.f64 #s(literal 2 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64))))
(.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) (pow.f64 #s(literal 2 binary64) #s(literal 1/12 binary64)))
(.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (cbrt.f64 #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64))))
(sqrt.f64 #s(literal 2 binary64))
(log.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))))
(cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (sqrt.f64 #s(literal 2 binary64))))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 8 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/12 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/12 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 #s(literal 2 binary64))) (pow.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5/6 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5/6 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 #s(literal 4 binary64))) (cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/12 binary64))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/16 binary64)) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/16 binary64)) (sqrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)) #s(literal 1/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/16 binary64)))
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5/6 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/12 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (cbrt.f64 #s(literal 4 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/12 binary64))))
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 5/8 binary64)) #s(literal 1/3 binary64)) (sqrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/12 binary64))))
(*.f64 (cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 5/8 binary64))) (sqrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/12 binary64))))
(*.f64 (sqrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/16 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5/6 binary64))) (sqrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/12 binary64))))
(sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))
(fabs.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(log.f64 (exp.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/4 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/12 binary64))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3/4 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/8 binary64)))

Outputs
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 8 binary64))) x))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))) x))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 1 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 3 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 8 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 (sqrt.f64 #s(literal 8 binary64)) (pow.f64 x #s(literal 3 binary64))))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (E.f64) (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x)))) (sqrt.f64 (log.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64)))))) (sqrt.f64 (log.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))) x))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(cbrt.f64 (*.f64 (sqrt.f64 #s(literal 8 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x))) #s(literal 3 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) #s(literal 1/3 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x))) #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 #s(literal 8 binary64))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(sqrt.f64 #s(literal 2 binary64))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(sqrt.f64 #s(literal 2 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(sqrt.f64 #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)) (cbrt.f64 #s(literal 2 binary64)))
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)) (cbrt.f64 #s(literal 2 binary64)))
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)))
(sqrt.f64 #s(literal 2 binary64))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))
(sqrt.f64 #s(literal 2 binary64))
(*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5/6 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/12 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/12 binary64)))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/12 binary64)) (cbrt.f64 (.f64 #s(literal 2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/12 binary64)) (cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 5/4 binary64))))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) (cbrt.f64 #s(literal 2 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64))))
(.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (cbrt.f64 #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64))))
(.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) (pow.f64 #s(literal 2 binary64) #s(literal 1/12 binary64)))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/12 binary64)) (cbrt.f64 (.f64 #s(literal 2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/12 binary64)) (cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 5/4 binary64))))
(.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (cbrt.f64 #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64))))
(sqrt.f64 #s(literal 2 binary64))
(log.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 #s(literal 2 binary64))
(cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 #s(literal 2 binary64))
(log1p.f64 (expm1.f64 (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 #s(literal 2 binary64))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)) (cbrt.f64 #s(literal 2 binary64)))
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 8 binary64))) #s(literal 1/3 binary64)))
(cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(sqrt.f64 #s(literal 2 binary64))
(+.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 #s(literal 2 binary64) #s(literal 5/4 binary64))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/12 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/12 binary64)))
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/12 binary64)) #s(literal 3 binary64))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/12 binary64)))
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/12 binary64)) #s(literal 3 binary64))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))
(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
(*.f64 (cbrt.f64 (cbrt.f64 #s(literal 2 binary64))) (pow.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5/6 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5/6 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5/6 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 #s(literal 4 binary64))) (cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/12 binary64))))
(*.f64 (cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/12 binary64))) (cbrt.f64 (cbrt.f64 #s(literal 4 binary64))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/16 binary64)) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/16 binary64)) (sqrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/16 binary64)) (sqrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)) #s(literal 1/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/16 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/16 binary64)) (sqrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64))))
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5/6 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/12 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5/6 binary64))) (sqrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/12 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
(*.f64 (pow.f64 (cbrt.f64 #s(literal 4 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/12 binary64))))
(*.f64 (cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/12 binary64))) (cbrt.f64 (cbrt.f64 #s(literal 4 binary64))))
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 5/8 binary64)) #s(literal 1/3 binary64)) (sqrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/12 binary64))))
(*.f64 (sqrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/12 binary64))) (cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 5/8 binary64))))
(*.f64 (cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 5/8 binary64))) (sqrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/12 binary64))))
(*.f64 (sqrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/12 binary64))) (cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 5/8 binary64))))
(*.f64 (sqrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/16 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/16 binary64)) (sqrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5/6 binary64))) (sqrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/12 binary64))))
(sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
(fabs.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
(log.f64 (exp.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
(cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/4 binary64)))
(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
(expm1.f64 (log1p.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
(log1p.f64 (expm1.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64))))
(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/12 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/12 binary64)))
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/12 binary64)) #s(literal 3 binary64))
(exp.f64 (.f64 (.f64 #s(literal 3/4 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
(exp.f64 (.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64)) #s(literal 2 binary64)))
(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
(exp.f64 (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/8 binary64)))
(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))

eval12.0ms (0.4%)

Compiler: Compiled 962 to 345 computations (64.1% saved)

prune80.0ms (2.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	96	1	97
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	97	4	101

Accuracy

100.0%

Counts

101 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(hypot.f64 x x)
▶	99.1%	(*.f64 (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) x)
✓	99.3%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓	58.8%	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))

Compiler

Compiled 25 to 18 computations (28% saved)

simplify146.0ms (5.2%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
	cost-diff	-128	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	256	(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
✓	cost-diff	256	(*.f64 (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) x)

Rules

671×	`fma-define`
528×	`distribute-neg-in`
486×	`unsub-neg`
426×	`sub-neg`
361×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	77
1	24	59
2	42	41
3	74	41
4	192	41
5	621	41
6	1682	41
7	4185	41
8	6289	41
9	7210	41
10	7617	41
11	7829	41
12	7977	41

Stop Event

1×	node limit

Calls

Call 1

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

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

localize29.0ms (1%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	99.3%	(*.f64 (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) x)
✓	accuracy	98.4%	(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))

Results

18.0ms

256×

valid

Compiler

Compiled 25 to 8 computations (68% saved)

Precisions

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

ival-add: 2.0ms (24.6% of total)

ival-mult: 2.0ms (24.6% of total)

ival-sqrt: 2.0ms (24.6% of total)

ival-sub: 1.0ms (12.3% of total)

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

const: 0.0ms (0% of total)

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

series2.0ms (0.1%)

Counts

3 → 12

Calls

Call 1

Inputs

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

#<alt (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))>

#<alt (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))>

Outputs
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>

Calls

3 calls:

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

rewrite105.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

558×	`log1p-expm1-u`
558×	`expm1-log1p-u`
480×	`pow1`
446×	`unpow-prod-down`
240×	`log-prod`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	54
1	137	30
2	1918	30

Stop Event

1×	node limit

Counts

3 → 168

Calls

Call 1

Inputs

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

(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))

(+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))

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

simplify113.0ms (4%)

Algorithm

1×	egg-herbie

Rules

634×	`fma-define`
612×	`div-sub`
355×	`associate-+r+`
303×	`associate-+l+`
284×	`exp-prod`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	339	3335
1	670	3225
2	1711	3187
3	6863	3183

Stop Event

1×	node limit

Counts

180 → 206

Calls

Call 1

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

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

eval88.0ms (3.1%)

Compiler: Compiled 2937 to 731 computations (75.1% saved)

prune117.0ms (4.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	234	0	234
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	234	4	238

Accuracy

100.0%

Counts

238 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(hypot.f64 x x)
✓	99.1%	(*.f64 (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) x)
✓	99.3%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓	58.8%	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))

Compiler

Compiled 81 to 46 computations (43.2% saved)

regimes12.0ms (0.4%)

Accuracy

Total -27.1b remaining (-115562.2%)

Threshold costs -27.1b (-115562.2%)

Counts

9 → 1

Calls

Call 1

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

Outputs
(hypot.f64 x x)

Calls

4 calls:

3.0ms	x
3.0ms	(pow.f64 x #s(literal 2 binary64))
3.0ms	(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
3.0ms	(sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))`
100.0%	1	`(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`
100.0%	1	`(pow.f64 x #s(literal 2 binary64))`

Compiler

Compiled 23 to 13 computations (43.5% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13

Stop Event

1×

saturated

Calls

Call 1

Inputs
(hypot.f64 x x)

Outputs
(hypot.f64 x x)

soundness25.0ms (0.9%)

Rules

57×	`fma-define`
43×	`fma-neg`
28×	`associate-r`
26×	`unsub-neg`
14×	`distribute-rgt-neg-out`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	88
1	25	56
2	54	56
3	171	56
4	322	56
5	397	56
6	413	56

Stop Event

1×	done
1×	saturated

Compiler

Compiled 32 to 13 computations (59.4% saved)

preprocess42.0ms (1.5%)

Remove: (abs x)
Compiler: Compiled 42 to 22 computations (47.6% saved)

analyze0.0ms (0%)

sample608.0ms (21.7%)

preprocess46.0ms (1.6%)

explain63.0ms (2.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify7.0ms (0.2%)

localize33.0ms (1.2%)

series6.0ms (0.2%)

rewrite261.0ms (9.3%)

simplify69.0ms (2.5%)

eval23.0ms (0.8%)

prune18.0ms (0.7%)

simplify9.0ms (0.3%)

localize77.0ms (2.7%)

series23.0ms (0.8%)

rewrite161.0ms (5.7%)

simplify274.0ms (9.8%)

eval45.0ms (1.6%)

prune38.0ms (1.4%)

simplify6.0ms (0.2%)

localize78.0ms (2.8%)

series2.0ms (0.1%)

rewrite99.0ms (3.5%)

simplify80.0ms (2.9%)

eval12.0ms (0.4%)

prune80.0ms (2.9%)

simplify146.0ms (5.2%)

localize29.0ms (1%)

series2.0ms (0.1%)

rewrite105.0ms (3.8%)

simplify113.0ms (4%)

eval88.0ms (3.1%)

prune117.0ms (4.2%)

regimes12.0ms (0.4%)

simplify2.0ms (0.1%)

soundness25.0ms (0.9%)

preprocess42.0ms (1.5%)

end0.0ms (0%)

Profiling