Metrics for sqrt A (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
0%	0%	100%	0%	0%	0%	0%	1
100%	100%	0%	0%	0%	0%	0%	2

Compiler

Compiled 10 to 5 computations (50% saved)

Precisions

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

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

ival-mult: 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)

sample836.0ms (23.3%)

Results

379.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 218.0ms

ival-mult: 81.0ms (37.2% of total)

ival-sqrt: 67.0ms (30.7% of total)

ival-add: 61.0ms (28% of total)

const: 7.0ms (3.2% of total)

backward-pass: 2.0ms (0.9% of total)

Bogosity

preprocess60.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

56×	`fma-define`
40×	`fma-neg`
20×	`associate-r`
15×	`distribute-lft-neg-in`
13×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	56
1	36	56
2	82	56
3	197	56
4	302	56
5	362	56
6	364	56

Stop Event

1×

saturated

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))
(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))
(sqrt.f64 (+.f64 (.f64 (neg.f64 x) (neg.f64 x)) (.f64 (neg.f64 x) (neg.f64 x))))
(neg.f64 (sqrt.f64 (+.f64 (.f64 (neg.f64 x) (neg.f64 x)) (.f64 (neg.f64 x) (neg.f64 x)))))

Outputs
(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))
(hypot.f64 x x)
(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))
(hypot.f64 x x)
(sqrt.f64 (+.f64 (.f64 (neg.f64 x) (neg.f64 x)) (.f64 (neg.f64 x) (neg.f64 x))))
(hypot.f64 x x)
(neg.f64 (sqrt.f64 (+.f64 (.f64 (neg.f64 x) (neg.f64 x)) (.f64 (neg.f64 x) (neg.f64 x)))))
(neg.f64 (hypot.f64 x x))

Symmetry

(abs x)

explain112.0ms (3.1%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
123	-	3	(3.475749502647979e-160)	`(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))`
0	-	0	-	`x`
0	-	0	-	`(*.f64 x x)`
0	-	0	-	`(+.f64 (.f64 x x) (.f64 x x))`

Results

73.0ms

512×

valid

Compiler

Compiled 51 to 14 computations (72.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-sqrt: 53.0ms (87.7% of total)

ival-mult: 4.0ms (6.6% of total)

ival-add: 3.0ms (5% of total)

const: 0.0ms (0% of total)

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

eval0.0ms (0%)

Compiler: Compiled 4 to 2 computations (50% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(hypot.f64 x x)
▶	55.7%	(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))

Compiler

Compiled 13 to 6 computations (53.8% saved)

localize51.0ms (1.4%)

Algorithm

2×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(hypot.f64 x x)
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	128	(+.f64 (.f64 x x) (.f64 x x))
✓	cost-diff	320	(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))
✓	accuracy	100.0%	(hypot.f64 x x)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(+.f64 (.f64 x x) (.f64 x x))
✓	accuracy	55.7%	(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))

Rules

2×	`*-commutative`
2×	`associate-r`
2×	`count-2`
2×	`*-commutative`
2×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	49
1	16	49
2	19	49
3	22	49
0	6	17
1	10	17
2	16	17
3	19	17
4	22	17

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
(hypot.f64 x x)
x

Outputs
(hypot.f64 x x)
x

Call 2

Inputs
(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))
(+.f64 (.f64 x x) (.f64 x x))
(*.f64 x x)
x

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

Results

28.0ms

256×

valid

Compiler

Compiled 25 to 6 computations (76% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-sqrt: 11.0ms (56.8% of total)

ival-hypot: 4.0ms (20.7% of total)

ival-add: 2.0ms (10.3% of total)

ival-mult: 2.0ms (10.3% of total)

const: 0.0ms (0% of total)

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

series5.0ms (0.2%)

Counts

4 → 48

Calls

Call 1

Inputs
#<alt (sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))>
#<alt (+.f64 (.f64 x x) (.f64 x x))>
#<alt (*.f64 x x)>
#<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 #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 #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	@	inf	(+ (* x x) (* x x))
1.0ms	x	@	0	(sqrt (+ (* x x) (* x x)))
1.0ms	x	@	inf	(sqrt (+ (* x x) (* x x)))
0.0ms	x	@	0	(+ (* x x) (* x x))
0.0ms	x	@	-inf	(sqrt (+ (* x x) (* x x)))

rewrite381.0ms (10.6%)

Algorithm

1×	batch-egg-rewrite

Rules

356×	`unpow-prod-down`
291×	`log1p-expm1-u`
291×	`expm1-log1p-u`
274×	`add-exp-log`
263×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	49
1	102	31
2	1289	31

Stop Event

1×	node limit

Counts

4 → 914

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))
(+.f64 (.f64 x x) (.f64 x x))
(*.f64 x x)
(hypot.f64 x x)

Outputs
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(+.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x #s(literal 2 binary64))) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (pow.f64 (.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (pow.f64 (.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)))
(.f64 x (.f64 x #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(.f64 x (.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(.f64 x (pow.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(.f64 x (pow.f64 (.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.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 3/2 binary64)))
(.f64 x (pow.f64 (.f64 (cbrt.f64 x) (*.f64 x #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(.f64 x (sqrt.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (log.f64 (exp.f64 #s(literal 2 binary64))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) #s(literal 3 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 (cbrt.f64 x) (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)))
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)))
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) (pow.f64 (.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) (*.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 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.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 4 binary64)) (+.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 4 binary64)) (pow.f64 (+.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (pow.f64 (.f64 (cbrt.f64 x) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(.f64 (cbrt.f64 x) (cbrt.f64 (.f64 x #s(literal 2 binary64))))
(*.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) (pow.f64 (.f64 (cbrt.f64 x) (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 (cbrt.f64 x) (pow.f64 (.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1/3 binary64)))
(.f64 (cbrt.f64 x) (cbrt.f64 (.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 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 (cbrt.f64 x) (sqrt.f64 (.f64 (cbrt.f64 x) (*.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))
(.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (+.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x #s(literal 2 binary64))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))
(.f64 (sqrt.f64 x) (pow.f64 (.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (.f64 x #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 x) (pow.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64))
(.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)))
(.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(*.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal 3 binary64)))
(*.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal 1/3 binary64)))
(*.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)))
(*.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal 1/4 binary64)))
(*.f64 #s(literal 0 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64))))
(*.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64))))
(.f64 (.f64 x #s(literal 2 binary64)) x)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 (.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64))))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(.f64 #s(literal 4 binary64) (pow.f64 (pow.f64 (.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)))
(.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 (.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 (.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
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(.f64 (pow.f64 (.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 x))
(*.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (cbrt.f64 #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)))) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(.f64 (cbrt.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x)) (cbrt.f64 (*.f64 x #s(literal 2 binary64))))
(.f64 (cbrt.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x))
(*.f64 (sqrt.f64 (cbrt.f64 #s(literal 2 binary64))) (cbrt.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 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x)) (sqrt.f64 (*.f64 x #s(literal 2 binary64))))
(.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64))) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))))))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))))))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (*.f64 (cbrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (cbrt.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))))
(/.f64 (pow.f64 (*.f64 (cbrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))) #s(literal 2 binary64)))
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64)))
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 0 binary64)) (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))))
(/.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))
(/.f64 (cbrt.f64 (*.f64 (cbrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)))))
(/.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)))))
(/.f64 (cbrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 0 binary64))) (cbrt.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(/.f64 (cbrt.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))))) (cbrt.f64 (*.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)))))
(/.f64 (cbrt.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))))) (cbrt.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)))))
(/.f64 (cbrt.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))))) (cbrt.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))))
(/.f64 (cbrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (cbrt.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))))
(/.f64 (cbrt.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 0 binary64))
(/.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal 3 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) #s(literal 0 binary64))
(/.f64 (sqrt.f64 (*.f64 (cbrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)))))
(/.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)))))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 0 binary64))) (sqrt.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(/.f64 (sqrt.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))))) (sqrt.f64 (*.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)))))
(/.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))))) (sqrt.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)))))
(/.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))))
(/.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))))
(/.f64 (sqrt.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 0 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 6 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 4 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 9 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 4/3 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2/3 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/6 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/9 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3/4 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/8 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 9/2 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/12 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 9/4 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3/8 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/16 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 5/6 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 5 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 5/2 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 7/2 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 7/3 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 5/4 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 10/3 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 13/4 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 11/6 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 7/12 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 7/4 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -3 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -1/3 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -3/2 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -1/4 binary64))
(pow.f64 (E.f64) (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(pow.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sqrt.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(sqrt.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fabs.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(cbrt.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(exp.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1/4 binary64)))
(fma.f64 x x (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 (*.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #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 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 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)))

simplify223.0ms (6.2%)

Algorithm

1×	egg-herbie

Rules

143×	`*-commutative`
35×	`cube-mult`
35×	`unpow3`
26×	`unpow2`
20×	`unpow1/3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	669	17179887014
1	1397	17179887014

Stop Event

1×

unsound

Counts

962 → 437

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)))
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(/.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 0 binary64))) (sqrt.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(/.f64 (sqrt.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))))) (sqrt.f64 (*.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)))))
(/.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))))) (sqrt.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)))))
(/.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))))
(/.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))))
(/.f64 (sqrt.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 0 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 6 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 4 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 9 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 4/3 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2/3 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/6 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/9 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3/4 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/8 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 9/2 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/12 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 9/4 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3/8 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/16 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 5/6 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 5 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 5/2 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 7/2 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 7/3 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 5/4 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 10/3 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 13/4 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 11/6 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 7/12 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 7/4 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -3 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -1/3 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -3/2 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -1/4 binary64))
(pow.f64 (E.f64) (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(pow.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sqrt.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(sqrt.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fabs.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(cbrt.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(exp.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1/4 binary64)))
(fma.f64 x x (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 (*.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #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 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 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)))

Outputs
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x #s(literal -2 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x #s(literal -2 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x #s(literal -2 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x #s(literal -2 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x #s(literal -2 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x #s(literal -2 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x #s(literal -2 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x #s(literal -2 binary64))
(.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 x #s(literal -2 binary64))
(.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 x #s(literal -2 binary64))
(.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 x #s(literal -2 binary64))
(.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 x #s(literal -2 binary64))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #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))
(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 #s(literal -2 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x #s(literal -2 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x #s(literal -2 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x #s(literal -2 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x #s(literal -2 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x #s(literal -2 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x #s(literal -2 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x #s(literal -2 binary64))
(.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 x #s(literal -2 binary64))
(.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 x #s(literal -2 binary64))
(.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 x #s(literal -2 binary64))
(.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 x #s(literal -2 binary64))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
#s(literal -2 binary64)
(+.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x #s(literal 2 binary64))) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))
(+.f64 (pow.f64 (.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (pow.f64 (.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
#s(literal -2 binary64)
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1 binary64))
#s(literal -2 binary64)
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)))
#s(literal -2 binary64)
(.f64 x (.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x #s(literal -2 binary64))
(.f64 x (.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))
(.f64 x (pow.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 x (hypot.f64 x x))
(.f64 x (pow.f64 (.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(.f64 x (pow.f64 (.f64 (*.f64 x #s(literal -2 binary64)) (sqrt.f64 x)) #s(literal -2 binary64)))
(*.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 3/2 binary64)))
(.f64 x (pow.f64 (.f64 #s(literal -2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) #s(literal 3/2 binary64)))
(.f64 x (pow.f64 (.f64 (cbrt.f64 x) (*.f64 x #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(.f64 x (pow.f64 (.f64 (*.f64 x #s(literal -2 binary64)) (cbrt.f64 x)) #s(literal 3/2 binary64)))
(.f64 x (sqrt.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 x (hypot.f64 x x))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (log.f64 (exp.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) #s(literal 3 binary64)))
(.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal 3 binary64))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 (cbrt.f64 x) (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
(.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (.f64 (*.f64 x #s(literal -2 binary64)) (cbrt.f64 x)) #s(literal 3 binary64)))
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
#s(literal -2 binary64)
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
#s(literal -2 binary64)
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)))
#s(literal -2 binary64)
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)))
#s(literal -2 binary64)
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)))
#s(literal -2 binary64)
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))
(.f64 #s(literal 2 binary64) (pow.f64 (.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
#s(literal -2 binary64)
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 #s(literal 2 binary64)))
(*.f64 #s(literal -2 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 (.f64 x #s(literal -2 binary64))) #s(literal -2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))))
(.f64 #s(literal -2 binary64) (.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))
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#s(literal -2 binary64)
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(/.f64 #s(literal -2 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))
(/.f64 (cbrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (cbrt.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))))
(/.f64 #s(literal -2 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))
(/.f64 (cbrt.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 0 binary64))
#s(literal -2 binary64)
(/.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)))
(/.f64 #s(literal -2 binary64) (pow.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 3 binary64)))
#s(literal -2 binary64)
(/.f64 (pow.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))) #s(literal 3 binary64)))
#s(literal -2 binary64)
(/.f64 (pow.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))) #s(literal 3 binary64)))
#s(literal -2 binary64)
(/.f64 (pow.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal 3 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)) #s(literal 3 binary64)))
#s(literal -2 binary64)
(/.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)) #s(literal 3 binary64)))
#s(literal -2 binary64)
(/.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) #s(literal 0 binary64))
#s(literal -2 binary64)
(/.f64 (sqrt.f64 (*.f64 (cbrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)))))
(/.f64 (hypot.f64 x x) (sqrt.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)))))
(/.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal -2 binary64) (sqrt.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64))))
(/.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 0 binary64))) (sqrt.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))
#s(literal -2 binary64)
(/.f64 (sqrt.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))))) (sqrt.f64 (*.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)))))
#s(literal -2 binary64)
(/.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))))) (sqrt.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)))))
#s(literal -2 binary64)
(/.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))))
(/.f64 #s(literal -2 binary64) (sqrt.f64 (pow.f64 x #s(literal 4 binary64))))
(/.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))))
(/.f64 #s(literal -2 binary64) (sqrt.f64 (pow.f64 x #s(literal 4 binary64))))
(/.f64 (sqrt.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 0 binary64))
#s(literal -2 binary64)
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64))
#s(literal -2 binary64)
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64))
#s(literal -2 binary64)
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
#s(literal -2 binary64)
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3 binary64))
#s(literal -2 binary64)
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 6 binary64))
#s(literal -2 binary64)
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/3 binary64))
#s(literal -2 binary64)
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64))
#s(literal -2 binary64)
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 4 binary64))
#s(literal -2 binary64)
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/4 binary64))
#s(literal -2 binary64)
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -1 binary64))
#s(literal -2 binary64)
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 9 binary64))
#s(literal -2 binary64)
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 4/3 binary64))
#s(literal -2 binary64)
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2/3 binary64))
#s(literal -2 binary64)
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/6 binary64))
#s(literal -2 binary64)
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/9 binary64))
#s(literal -2 binary64)
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3/4 binary64))
#s(literal -2 binary64)
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/8 binary64))
#s(literal -2 binary64)
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 9/2 binary64))
#s(literal -2 binary64)
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/12 binary64))
#s(literal -2 binary64)
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 9/4 binary64))
#s(literal -2 binary64)
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3/8 binary64))
#s(literal -2 binary64)
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/16 binary64))
#s(literal -2 binary64)
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 5/6 binary64))
#s(literal -2 binary64)
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 5 binary64))
#s(literal -2 binary64)
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 5/2 binary64))
#s(literal -2 binary64)
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 7/2 binary64))
#s(literal -2 binary64)
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 7/3 binary64))
#s(literal -2 binary64)
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 5/4 binary64))
#s(literal -2 binary64)
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 10/3 binary64))
#s(literal -2 binary64)
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 13/4 binary64))
#s(literal -2 binary64)
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 11/6 binary64))
#s(literal -2 binary64)
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 7/12 binary64))
#s(literal -2 binary64)
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 7/4 binary64))
#s(literal -2 binary64)
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64))
(pow.f64 #s(literal -2 binary64) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -2 binary64))
#s(literal -2 binary64)
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -3 binary64))
(pow.f64 #s(literal -2 binary64) #s(literal -3 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -1/3 binary64))
(pow.f64 #s(literal -2 binary64) #s(literal -1/3 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -3/2 binary64))
(pow.f64 #s(literal -2 binary64) #s(literal -3/2 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -1/4 binary64))
(pow.f64 #s(literal -2 binary64) #s(literal -1/4 binary64))
(pow.f64 (E.f64) (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
#s(literal -2 binary64)
(pow.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64))
#s(literal -2 binary64)
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
#s(literal -2 binary64)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
#s(literal -2 binary64)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sqrt.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
#s(literal -2 binary64)
(sqrt.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
#s(literal -2 binary64)
(fabs.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
#s(literal -2 binary64)
(log.f64 (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
#s(literal -2 binary64)
(cbrt.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
#s(literal -2 binary64)
(expm1.f64 (log1p.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
#s(literal -2 binary64)
(log1p.f64 (expm1.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
#s(literal -2 binary64)
(exp.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
#s(literal -2 binary64)
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)))
#s(literal -2 binary64)
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)))
#s(literal -2 binary64)
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1/3 binary64)))
#s(literal -2 binary64)
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3/2 binary64)))
#s(literal -2 binary64)
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1/4 binary64)))
#s(literal -2 binary64)
(fma.f64 x x (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 (*.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #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 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64) (pow.f64 x #s(literal -2 binary64)))
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #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 x #s(literal -2 binary64)) #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 -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 (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 (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 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)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (cbrt.f64 x) (pow.f64 x #s(literal -2 binary64)))

eval85.0ms (2.4%)

Compiler: Compiled 4728 to 3590 computations (24.1% saved)

prune76.0ms (2.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	467	4	471
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	467	6	473

Accuracy

100.0%

Counts

473 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(hypot.f64 x x)
▶	6.7%	(.f64 (.f64 x #s(literal 2 binary64)) x)
▶	99.2%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
▶	2.2%	(*.f64 x #s(literal -2 binary64))
✓	55.7%	(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))
▶	1.7%	#s(literal -2 binary64)

Compiler

Compiled 30 to 19 computations (36.7% saved)

localize66.0ms (1.8%)

Algorithm

4×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(.f64 (.f64 x #s(literal 2 binary64)) 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 #s(literal -2 binary64))
✓	accuracy	100.0%	(.f64 (.f64 x #s(literal 2 binary64)) x)
✓	accuracy	100.0%	(*.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	99.2%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓	accuracy	100.0%	(*.f64 x #s(literal -2 binary64))

Rules

2×	`*-commutative`
2×	`associate-l`
1×	`associate-r`
1×	`*-commutative`
1×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	1
0	7	15
1	8	15
0	9	24
1	10	24
0	8	34
1	11	34
2	14	34

Stop Event

1×	saturated
1×	saturated
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

Call 3

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

Outputs
(*.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)

Call 4

Inputs
#s(literal -2 binary64)

Outputs
#s(literal -2 binary64)

Results

27.0ms

256×

valid

Compiler

Compiled 26 to 18 computations (30.8% saved)

Precisions

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

ival-mult: 9.0ms (66.3% of total)

ival-sqrt: 4.0ms (29.5% of total)

const: 1.0ms (7.4% of total)

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

series5.0ms (0.1%)

Counts

5 → 48

Calls

Call 1

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

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

Calls

12 calls:

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

rewrite85.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

530×	`unpow-prod-down`
423×	`log1p-expm1-u`
423×	`expm1-log1p-u`
394×	`add-exp-log`
382×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	58
1	129	55
2	1533	55

Stop Event

1×	node limit

Counts

5 → 140

Calls

Call 1

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

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

simplify123.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

461×	`prod-exp`
445×	`associate-+r-`
409×	`associate-r`
372×	`exp-prod`
344×	`exp-sum`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	259	3040
1	438	3028
2	902	3008
3	3597	2965
4	5835	2965

Stop Event

1×	node limit

Counts

188 → 135

Calls

Call 1

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

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

eval27.0ms (0.7%)

Compiler: Compiled 1141 to 959 computations (16% saved)

prune24.0ms (0.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	133	2	135
Fresh	0	0	0
Picked	3	1	4
Done	0	2	2
Total	136	5	141

Accuracy

100.0%

Counts

141 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(hypot.f64 x x)
▶	20.3%	(+.f64 x x)
✓	99.2%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓	55.7%	(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))
▶	3.7%	#s(literal 0 binary64)

Compiler

Compiled 24 to 14 computations (41.7% saved)

localize24.0ms (0.7%)

Algorithm

2×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 x x)
✓	accuracy	100.0%	(+.f64 x x)

Rules

1×	`*-commutative`
1×	`count-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	1
0	6	14
1	8	14
2	9	14

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
(+.f64 x x)
x

Outputs
(+.f64 x x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
x

Call 2

Inputs
#s(literal 0 binary64)

Outputs
#s(literal 0 binary64)

Results

7.0ms

256×

valid

Compiler

Compiled 7 to 4 computations (42.9% saved)

Precisions

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

ival-add: 1.0ms (54.1% of total)

const: 0.0ms (0% of total)

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

series1.0ms (0%)

Counts

1 → 12

Calls

Call 1

Inputs
#<alt (+.f64 x x)>

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

Calls

3 calls:

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

rewrite57.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

253×	`frac-times`
212×	`associate-r`
207×	`log1p-expm1-u`
207×	`expm1-log1p-u`
198×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	54	10
2	770	10

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

Inputs
(+.f64 x x)

Outputs
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/3 binary64)
#s(literal 0 binary64)
#s(literal 1/9 binary64)
#s(literal 1/6 binary64)
#s(literal 1/4 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 2/3 binary64)
#s(literal 3/4 binary64)
#s(literal 5/6 binary64)
#s(literal 1 binary64)
#s(literal 4/3 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 7/3 binary64)
#s(literal 5/2 binary64)
#s(literal 3 binary64)
#s(literal 10/3 binary64)
#s(literal 7/2 binary64)
#s(literal 4 binary64)
#s(literal 9/2 binary64)
#s(literal 5 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal 9 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

3×	`1-exp`
1×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	151
1	43	151

Stop Event

1×

saturated

Counts

43 → 32

Calls

Call 1

Inputs
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/3 binary64)
#s(literal 0 binary64)
#s(literal 1/9 binary64)
#s(literal 1/6 binary64)
#s(literal 1/4 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 2/3 binary64)
#s(literal 3/4 binary64)
#s(literal 5/6 binary64)
#s(literal 1 binary64)
#s(literal 4/3 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 7/3 binary64)
#s(literal 5/2 binary64)
#s(literal 3 binary64)
#s(literal 10/3 binary64)
#s(literal 7/2 binary64)
#s(literal 4 binary64)
#s(literal 9/2 binary64)
#s(literal 5 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal 9 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)

Outputs
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/3 binary64)
#s(literal 0 binary64)
#s(literal 1/9 binary64)
#s(literal 1/6 binary64)
#s(literal 1/4 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 2/3 binary64)
#s(literal 3/4 binary64)
#s(literal 5/6 binary64)
#s(literal 1 binary64)
#s(literal 4/3 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 7/3 binary64)
#s(literal 5/2 binary64)
#s(literal 3 binary64)
#s(literal 10/3 binary64)
#s(literal 7/2 binary64)
#s(literal 4 binary64)
#s(literal 9/2 binary64)
#s(literal 5 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal 9 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)

eval3.0ms (0.1%)

Compiler: Compiled 35 to 34 computations (2.9% saved)

prune7.0ms (0.2%)

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	29	3	32
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	29	8	37

Accuracy

100.0%

Counts

37 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(hypot.f64 x x)
✓	20.3%	(+.f64 x x)
✓	99.2%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓	55.7%	(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))
▶	5.3%	#s(literal 64 binary64)
▶	5.4%	#s(literal 9 binary64)
▶	5.3%	#s(literal 1/9 binary64)
✓	3.7%	#s(literal 0 binary64)

Compiler

Compiled 30 to 20 computations (33.3% saved)

localize27.0ms (0.8%)

Algorithm

3×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	1
0	1	1
0	1	1

Stop Event

1×	saturated
1×	saturated
1×	saturated

Calls

Call 1

Inputs
#s(literal 64 binary64)

Outputs
#s(literal 64 binary64)

Call 2

Inputs
#s(literal 9 binary64)

Outputs
#s(literal 9 binary64)

Call 3

Inputs
#s(literal 1/9 binary64)

Outputs
#s(literal 1/9 binary64)

Results

8.0ms

256×

valid

Compiler

Compiled 5 to 5 computations (0% saved)

Precisions

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

const: 0.0ms (0% of total)

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

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune18.0ms (0.5%)

Pruning

8 alts after pruning (0 fresh and 8 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	3	3
Done	5	5
Total	8	8

Accuracy

100.0%

Counts

8 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(hypot.f64 x x)
✓	20.3%	(+.f64 x x)
✓	99.2%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓	55.7%	(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))
✓	5.3%	#s(literal 64 binary64)
✓	5.4%	#s(literal 9 binary64)
✓	5.3%	#s(literal 1/9 binary64)
✓	3.7%	#s(literal 0 binary64)

Compiler

Compiled 62 to 39 computations (37.1% saved)

regimes13.0ms (0.4%)

Counts

11 → 1

Calls

Call 1

Inputs
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/9 binary64)
#s(literal 9 binary64)
#s(literal 64 binary64)
(*.f64 x #s(literal -2 binary64))
(+.f64 x x)
(.f64 (.f64 x #s(literal 2 binary64)) x)
(hypot.f64 x x)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))

Outputs
(hypot.f64 x x)

Calls

4 calls:

5.0ms	x
3.0ms	(*.f64 x x)
2.0ms	(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))
2.0ms	(+.f64 (.f64 x x) (.f64 x x))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))`
100.0%	1	`(+.f64 (.f64 x x) (.f64 x x))`
100.0%	1	`(*.f64 x x)`

Compiler

Compiled 23 to 10 computations (56.5% saved)

regimes3.0ms (0.1%)

Counts

8 → 1

Calls

Call 1

Inputs
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/9 binary64)
#s(literal 9 binary64)
#s(literal 64 binary64)
(*.f64 x #s(literal -2 binary64))
(+.f64 x x)
(.f64 (.f64 x #s(literal 2 binary64)) x)

Outputs
(+.f64 x x)

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
20.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

Inputs
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/9 binary64)
#s(literal 9 binary64)
#s(literal 64 binary64)
(*.f64 x #s(literal -2 binary64))

Outputs
#s(literal 9 binary64)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
5.4%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

Inputs
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/9 binary64)

Outputs
#s(literal 1/9 binary64)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
5.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal -2 binary64)
#s(literal 0 binary64)

Outputs
#s(literal 0 binary64)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
3.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal -2 binary64)

Outputs
#s(literal -2 binary64)

Calls

1 calls:

0.0ms

Results

Accuracy	Segments	Branch
1.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	30

Stop Event

1×

saturated

Calls

Call 1

Inputs
(hypot.f64 x x)
(+.f64 x x)
#s(literal 9 binary64)
#s(literal 1/9 binary64)
#s(literal 0 binary64)
#s(literal -2 binary64)

Outputs
(hypot.f64 x x)
(+.f64 x x)
#s(literal 9 binary64)
#s(literal 1/9 binary64)
#s(literal 0 binary64)
#s(literal -2 binary64)

soundness1.2s (33.5%)

Rules

530×	`unpow-prod-down`
461×	`prod-exp`
445×	`associate-+r-`
423×	`log1p-expm1-u`
423×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	56
1	36	56
2	82	56
3	197	56
4	302	56
5	362	56
6	364	56
0	10	49
1	102	31
2	1289	31
0	259	3040
1	438	3028
2	902	3008
3	3597	2965
4	5835	2965
0	6	10
1	54	10
2	770	10
0	13	58
1	129	55
2	1533	55
0	669	17179887014
1	1397	17179887014

Stop Event

1×	done
1×	unsound
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	saturated

Compiler

Compiled 453 to 165 computations (63.6% saved)

preprocess51.0ms (1.4%)

Remove: (abs x)
Compiler: Compiled 56 to 30 computations (46.4% saved)

sqrt A (should all be same)

analyze0.0ms (0%)

sample836.0ms (23.3%)

preprocess60.0ms (1.7%)

explain112.0ms (3.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize51.0ms (1.4%)

series5.0ms (0.2%)

rewrite381.0ms (10.6%)

simplify223.0ms (6.2%)

eval85.0ms (2.4%)

prune76.0ms (2.1%)

localize66.0ms (1.8%)

series5.0ms (0.1%)

rewrite85.0ms (2.4%)

simplify123.0ms (3.4%)

eval27.0ms (0.7%)

prune24.0ms (0.7%)

localize24.0ms (0.7%)

series1.0ms (0%)

rewrite57.0ms (1.6%)

simplify7.0ms (0.2%)

eval3.0ms (0.1%)

prune7.0ms (0.2%)

localize27.0ms (0.8%)

eval0.0ms (0%)

prune18.0ms (0.5%)

regimes13.0ms (0.4%)

regimes3.0ms (0.1%)

regimes3.0ms (0.1%)

regimes2.0ms (0.1%)

regimes2.0ms (0%)

regimes1.0ms (0%)

simplify3.0ms (0.1%)

soundness1.2s (33.5%)

preprocess51.0ms (1.4%)

end0.0ms (0%)

Profiling