Metrics for Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 8 to 6 computations (25% saved)

Precisions

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

Operation ival-sub, time spent: 0.0ms, 0.0% of total-time

Operation ival-fabs, time spent: 0.0ms, 0.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

Operation ival-sqrt, time spent: 0.0ms, 0.0% of total-time

sample1.1s (45.3%)

Results

1.0s	8255×	256	valid
0.0ms	1×	256	valid

Precisions

Click to see histograms. Total time spent on operations: 228.0ms

Operation ival-sub, time spent: 92.0ms, 40.0% of total-time

Operation ival-sqrt, time spent: 70.0ms, 31.0% of total-time

Operation ival-fabs, time spent: 57.0ms, 25.0% of total-time

Operation const, time spent: 9.0ms, 4.0% of total-time

Bogosity

preprocess377.0ms (16.2%)

Algorithm

1×	egg-herbie

Rules

60×	`fma-neg`
21×	`sub-neg`
14×	`fma-define`
11×	`distribute-lft-neg-in`
11×	`cancel-sign-sub-inv`

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(sqrt.f64 (fabs.f64 (-.f64 x y)))`
-	-	`x`
-	-	`(-.f64 x y)`
-	-	`(fabs.f64 (-.f64 x y))`
-	-	`y`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	171
1	43	155
2	85	155
3	172	155
4	242	155
5	273	155
6	279	155

Stop Event

1×

saturated

Calls

Call 1

Inputs
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (fabs.f64 (-.f64 (neg.f64 x) y)))
(sqrt.f64 (fabs.f64 (-.f64 x (neg.f64 y))))
(neg.f64 (sqrt.f64 (fabs.f64 (-.f64 (neg.f64 x) y))))
(neg.f64 (sqrt.f64 (fabs.f64 (-.f64 x (neg.f64 y)))))
(sqrt.f64 (fabs.f64 (-.f64 y x)))

Outputs
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(sqrt.f64 (fabs.f64 (-.f64 (neg.f64 x) y)))
(sqrt.f64 (fabs.f64 (+.f64 x y)))
(sqrt.f64 (fabs.f64 (-.f64 x (neg.f64 y))))
(sqrt.f64 (fabs.f64 (-.f64 (neg.f64 x) y)))
(sqrt.f64 (fabs.f64 (+.f64 x y)))
(neg.f64 (sqrt.f64 (fabs.f64 (-.f64 (neg.f64 x) y))))
(neg.f64 (sqrt.f64 (fabs.f64 (+.f64 x y))))
(neg.f64 (sqrt.f64 (fabs.f64 (-.f64 x (neg.f64 y)))))
(neg.f64 (sqrt.f64 (fabs.f64 (-.f64 (neg.f64 x) y))))
(neg.f64 (sqrt.f64 (fabs.f64 (+.f64 x y))))
(sqrt.f64 (fabs.f64 (-.f64 y x)))

Symmetry

(sort x y)

Compiler

Compiled 41 to 17 computations (58.5% saved)

Precisions

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

Operation ival-sub, time spent: 4.0ms, 33.0% of total-time

Operation ival-sqrt, time spent: 4.0ms, 33.0% of total-time

Operation ival-fabs, time spent: 3.0ms, 25.0% of total-time

Operation const, time spent: 1.0ms, 8.0% of total-time

eval0.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

prune3.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(sqrt.f64 (fabs.f64 (-.f64 y x)))

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize29.0ms (1.2%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	100.0%	(sqrt.f64 (fabs.f64 (-.f64 y x)))

Compiler

Compiled 17 to 6 computations (64.7% saved)

Precisions

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

Operation ival-sub, time spent: 2.0ms, 34.0% of total-time

Operation ival-fabs, time spent: 2.0ms, 34.0% of total-time

Operation ival-sqrt, time spent: 2.0ms, 34.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

series3.0ms (0.1%)

Counts

1 → 8

Calls

Call 1

Inputs
#<alt (sqrt.f64 (fabs.f64 (-.f64 y x)))>

Outputs
#<alt (sqrt.f64 (fabs.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y)))))>
#<alt (sqrt.f64 (fabs.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y)))))>
#<alt (sqrt.f64 (fabs.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y)))))>
#<alt (sqrt.f64 (fabs.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y)))))>
#<alt (sqrt.f64 (fabs.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x))))>
#<alt (sqrt.f64 (fabs.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x))))>
#<alt (sqrt.f64 (fabs.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x))))>
#<alt (sqrt.f64 (fabs.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x))))>

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(sqrt (fabs (- y x)))
0.0ms	y	@	inf	(sqrt (fabs (- y x)))
0.0ms	x	@	inf	(sqrt (fabs (- y x)))
0.0ms	y	@	-inf	(sqrt (fabs (- y x)))
0.0ms	x	@	-inf	(sqrt (fabs (- y x)))

rewrite195.0ms (8.4%)

Algorithm

1×	batch-egg-rewrite

Rules

566×	`prod-diff`
518×	`log1p-expm1-u`
518×	`expm1-log1p-u`
441×	`pow1`
422×	`unpow-prod-down`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	21
1	120	17
2	1625	17

Stop Event

1×	node limit

Counts

1 → 49

Calls

Call 1

Inputs
(sqrt.f64 (fabs.f64 (-.f64 y x)))

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

eval15.0ms (0.6%)

Compiler: Compiled 554 to 300 computations (45.8% saved)

prune7.0ms (0.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	55	2	57
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	56	2	58

Accuracy

100.0%

Counts

58 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(pow.f64 (-.f64 y x) #s(literal 1/2 binary64))
▶	98.7%	(pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 3/2 binary64))

Compiler

Compiled 15 to 11 computations (26.7% saved)

localize61.0ms (2.6%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	100.0%	(pow.f64 (-.f64 y x) #s(literal 1/2 binary64))
✓	99.4%	(pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 3/2 binary64))
✓	99.1%	(cbrt.f64 (-.f64 y x))

Compiler

Compiled 30 to 11 computations (63.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

Operation ival-pow, time spent: 20.0ms, 78.0% of total-time

Operation ival-sub, time spent: 2.0ms, 8.0% of total-time

Operation ival-cbrt, time spent: 2.0ms, 8.0% of total-time

Operation const, time spent: 1.0ms, 4.0% of total-time

series31.0ms (1.3%)

Counts

3 → 72

Calls

Call 1

Inputs
#<alt (cbrt.f64 (-.f64 y x))>
#<alt (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 3/2 binary64))>
#<alt (pow.f64 (-.f64 y x) #s(literal 1/2 binary64))>

Outputs
#<alt (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64)))>
#<alt (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/9 binary64)) (.f64 y (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) (.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (.f64 y (+.f64 (.f64 #s(literal -1/9 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))) #s(literal 1/9 binary64)) (.f64 y (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 7 binary64))))))) (.f64 #s(literal 1/3 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/9 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))) (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (.f64 y (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/9 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (.f64 y (+.f64 (.f64 #s(literal -1/3 binary64) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (.f64 y (+.f64 (.f64 #s(literal -2/9 binary64) (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/9 binary64)) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (.f64 #s(literal 1/27 binary64) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal -1/9 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))) #s(literal 1/9 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 7 binary64)))))))))) (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (cbrt.f64 y)>
#<alt (.f64 y (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (.f64 #s(literal -1/3 binary64) (*.f64 x (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))))))))>
#<alt (.f64 y (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/3 binary64) (.f64 x (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (.f64 #s(literal -1/9 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64)))))))))>
#<alt (.f64 y (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/3 binary64) (.f64 x (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (.f64 #s(literal -1/3 binary64) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 23 binary64)))) (+.f64 (.f64 #s(literal -1/27 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 4 binary64)))) (.f64 #s(literal 2/9 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 4 binary64))))))) (.f64 #s(literal -1/9 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 y) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/3 binary64) (.f64 (.f64 x (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 y))) (.f64 #s(literal 1/3 binary64) (.f64 (.f64 x (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))))) (pow.f64 y #s(literal 3 binary64)))) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/9 binary64) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (pow.f64 y #s(literal 10 binary64))))) (.f64 #s(literal 1/3 binary64) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (.f64 (cbrt.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -2/9 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 4 binary64)))) (.f64 #s(literal 1/27 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 4 binary64))))))))) (pow.f64 y #s(literal 3 binary64)))) (.f64 #s(literal 1/3 binary64) (.f64 (.f64 x (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))))) (pow.f64 y #s(literal 3 binary64)))) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64))))))>
#<alt (cbrt.f64 y)>
#<alt (+.f64 (cbrt.f64 y) (.f64 #s(literal -1/3 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/9 binary64)) x)))>
#<alt (+.f64 (cbrt.f64 y) (.f64 x (+.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/9 binary64))) (.f64 #s(literal -1/9 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64))) #s(literal 1/9 binary64)) x)))))>
#<alt (+.f64 (cbrt.f64 y) (.f64 x (+.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/9 binary64))) (.f64 x (+.f64 (.f64 #s(literal -1/3 binary64) (.f64 (.f64 x (+.f64 (.f64 #s(literal -1/27 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (.f64 #s(literal 2/9 binary64) (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/9 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) (.f64 #s(literal -1/9 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64))) #s(literal 1/9 binary64))))))))>
#<alt (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 y (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64)))))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/9 binary64) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 y (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64))))))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/3 binary64) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 23 binary64)))) (/.f64 (+.f64 (.f64 #s(literal -2/9 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)))) (.f64 #s(literal 1/27 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal -1/9 binary64) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 y (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (cbrt.f64 x))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal -1/3 binary64) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/9 binary64) (.f64 (cbrt.f64 x) (pow.f64 y #s(literal 2 binary64)))) (.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) y))) (pow.f64 x #s(literal 3 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/9 binary64) (.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (pow.f64 y #s(literal 2 binary64)))) (.f64 #s(literal 1/3 binary64) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (+.f64 (.f64 #s(literal -2/9 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 #s(literal 1/27 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))))))) (pow.f64 x #s(literal 3 binary64)))) (.f64 #s(literal 1/3 binary64) (.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) y))) (pow.f64 x #s(literal 3 binary64)))))))>
#<alt (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))) (.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (.f64 y (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (sqrt.f64 y)>
#<alt (.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))))>
#<alt (.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))))))>
#<alt (.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64))))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 y (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (.f64 (sqrt.f64 (/.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) y)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) y)) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 7 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (.f64 (sqrt.f64 (/.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) y)) (sqrt.f64 #s(literal -1 binary64))))))))>
#<alt (sqrt.f64 y)>
#<alt (+.f64 (sqrt.f64 y) (.f64 #s(literal -1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))>
#<alt (+.f64 (sqrt.f64 y) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (.f64 #s(literal -1/8 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))))))>
#<alt (+.f64 (sqrt.f64 y) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (.f64 #s(literal -1/16 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))))))))>
#<alt (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 y (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 y (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))))>
#<alt (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))) (.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (.f64 y (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (sqrt.f64 y)>
#<alt (.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))))>
#<alt (.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))))))>
#<alt (.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64))))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (.f64 #s(literal -1/16 binary64) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))>
#<alt (sqrt.f64 y)>
#<alt (+.f64 (sqrt.f64 y) (.f64 #s(literal -1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))>
#<alt (+.f64 (sqrt.f64 y) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (.f64 #s(literal -1/8 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))))))>
#<alt (+.f64 (sqrt.f64 y) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (.f64 #s(literal -1/16 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))))))))>
#<alt (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 y (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 y (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))))>

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(cbrt (- y x))
3.0ms	y	@	-inf	(pow (cbrt (- y x)) 3/2)
3.0ms	y	@	-inf	(cbrt (- y x))
2.0ms	x	@	-inf	(cbrt (- y x))
2.0ms	y	@	inf	(cbrt (- y x))

rewrite97.0ms (4.2%)

Algorithm

1×	batch-egg-rewrite

Rules

540×	`unpow-prod-down`
535×	`log1p-expm1-u`
535×	`expm1-log1p-u`
436×	`pow1`
359×	`prod-diff`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	63
1	147	51
2	1672	51

Stop Event

1×	node limit

Counts

3 → 159

Calls

Call 1

Inputs
(cbrt.f64 (-.f64 y x))
(pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 3/2 binary64))
(pow.f64 (-.f64 y x) #s(literal 1/2 binary64))

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

eval85.0ms (3.6%)

Compiler: Compiled 4116 to 2763 computations (32.9% saved)

prune23.0ms (1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	229	2	231
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	230	3	233

Accuracy

100.0%

Counts

233 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.7%	(pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 3/2 binary64))
▶	100.0%	(sqrt.f64 (-.f64 y x))
▶	44.1%	(sqrt.f64 y)

Compiler

Compiled 18 to 13 computations (27.8% saved)

localize30.0ms (1.3%)

Compiler: Compiled 15 to 6 computations (60% saved)
Precisions: Click to see histograms. Total time spent on operations: 6.0ms
Operation ival-sqrt, time spent: 4.0ms, 65.0% of total-time
Operation ival-sub, time spent: 2.0ms, 32.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune3.0ms (0.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	2	2
Done	1	1
Total	3	3

Accuracy

100.0%

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.7%	(pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 3/2 binary64))
✓	100.0%	(sqrt.f64 (-.f64 y x))
✓	44.1%	(sqrt.f64 y)

Compiler

Compiled 47 to 28 computations (40.4% saved)

regimes13.0ms (0.6%)

Counts

6 → 1

Calls

Call 1

Inputs
(sqrt.f64 y)
(sqrt.f64 (-.f64 y x))
(pow.f64 (-.f64 y x) #s(literal 1/2 binary64))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 3/2 binary64))

Outputs
(sqrt.f64 (-.f64 y x))

Calls

5 calls:

3.0ms	y
2.0ms	(-.f64 x y)
2.0ms	(sqrt.f64 (fabs.f64 (-.f64 x y)))
2.0ms	x
2.0ms	(fabs.f64 (-.f64 x y))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(sqrt.f64 (fabs.f64 (-.f64 x y)))`
100.0%	1	`(fabs.f64 (-.f64 x y))`
100.0%	1	`(-.f64 x y)`

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Stop Event

1×

done

Counts

1 → 1

Calls

Call 1

Inputs
(sqrt.f64 y)

Outputs
(sqrt.f64 y)

Calls

2 calls:

1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
44.1%	1	`x`
44.1%	1	`y`

Compiler

Compiled 16 to 11 computations (31.3% saved)

soundness256.0ms (11%)

Rules

566×	`prod-diff`
540×	`unpow-prod-down`
535×	`log1p-expm1-u`
535×	`expm1-log1p-u`
518×	`log1p-expm1-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	21
1	120	17
2	1625	17
0	14	63
1	147	51
2	1672	51
0	24	171
1	43	155
2	85	155
3	172	155
4	242	155
5	273	155
6	279	155

Stop Event

1×	saturated
1×	node limit
1×	node limit

Compiler

Compiled 136 to 65 computations (52.2% saved)

end0.0ms (0%)

preprocess39.0ms (1.7%)

Compiler: Compiled 54 to 36 computations (33.3% saved)

analyze0.0ms (0%)

sample1.1s (45.3%)

preprocess377.0ms (16.2%)

eval0.0ms (0%)

prune3.0ms (0.1%)

localize29.0ms (1.2%)

series3.0ms (0.1%)

rewrite195.0ms (8.4%)

eval15.0ms (0.6%)

prune7.0ms (0.3%)

localize61.0ms (2.6%)

series31.0ms (1.3%)

rewrite97.0ms (4.2%)

eval85.0ms (3.6%)

prune23.0ms (1%)

localize30.0ms (1.3%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes13.0ms (0.6%)

regimes3.0ms (0.1%)

soundness256.0ms (11%)

end0.0ms (0%)

preprocess39.0ms (1.7%)

Profiling