Metrics for AI.Clustering.Hierarchical.Internal:average from clustering-0.2.1, A

analyze20.0ms (0.8%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
25%	25%	74.9%	0.1%	0%	0%	0%	3
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	4
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	5
65.6%	65.6%	34.3%	0.1%	0%	0%	0%	6
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	7
82%	82%	18%	0.1%	0%	0%	0%	8
87.9%	87.8%	12.1%	0.1%	0%	0%	0%	9
90.8%	90.7%	9.2%	0.1%	0%	0%	0%	10
93.8%	93.8%	6.1%	0.1%	0%	0%	0%	11
95.4%	95.3%	4.6%	0.1%	0%	0%	0%	12

Compiler

Compiled 8 to 5 computations (37.5% saved)

Precisions

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

Operation ival-div, time spent: 3.0ms, 50.0% of total-time

Operation ival-add, time spent: 3.0ms, 50.0% of total-time

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

sample1.3s (50.3%)

Results

1.2s	8255×	256	valid
0.0ms	1×	256	valid

Precisions

Click to see histograms. Total time spent on operations: 155.0ms

Operation ival-div, time spent: 83.0ms, 54.0% of total-time

Operation ival-add, time spent: 62.0ms, 40.0% of total-time

Operation const, time spent: 9.0ms, 6.0% of total-time

Bogosity

preprocess122.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

454×	`fma-define`
276×	`fma-neg`
162×	`times-frac`
102×	`associate-l`
82×	`unsub-neg`

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`(+.f64 x y)`
-	-	`(/.f64 x (+.f64 x y))`
-	-	`y`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	194
1	43	154
2	83	154
3	175	154
4	395	154
5	664	154
6	965	154
7	1086	154
8	1129	154
9	1157	154

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 x (+.f64 x y))
(/.f64 x (+.f64 x y))
(/.f64 (neg.f64 x) (+.f64 (neg.f64 x) y))
(/.f64 x (+.f64 x (neg.f64 y)))
(neg.f64 (/.f64 (neg.f64 x) (+.f64 (neg.f64 x) y)))
(neg.f64 (/.f64 x (+.f64 x (neg.f64 y))))
(/.f64 y (+.f64 y x))

Outputs
(/.f64 x (+.f64 x y))
(/.f64 x (+.f64 x y))
(/.f64 (neg.f64 x) (+.f64 (neg.f64 x) y))
(/.f64 (neg.f64 x) (+.f64 y (neg.f64 x)))
(/.f64 x (-.f64 x y))
(/.f64 x (+.f64 x (neg.f64 y)))
(/.f64 (neg.f64 x) (+.f64 y (neg.f64 x)))
(/.f64 x (-.f64 x y))
(neg.f64 (/.f64 (neg.f64 x) (+.f64 (neg.f64 x) y)))
(/.f64 (neg.f64 (neg.f64 x)) (+.f64 y (neg.f64 x)))
(/.f64 x (-.f64 y x))
(neg.f64 (/.f64 x (+.f64 x (neg.f64 y))))
(/.f64 (neg.f64 (neg.f64 x)) (+.f64 y (neg.f64 x)))
(/.f64 x (-.f64 y x))
(/.f64 y (+.f64 y x))
(/.f64 y (+.f64 x y))

Compiler

Compiled 33 to 14 computations (57.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

Operation ival-div, time spent: 4.0ms, 43.0% of total-time

Operation ival-add, time spent: 4.0ms, 43.0% of total-time

Operation const, time spent: 1.0ms, 11.0% of total-time

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 x (+.f64 x y))

Compiler

Compiled 7 to 4 computations (42.9% saved)

localize26.0ms (1%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	100.0%	(/.f64 x (+.f64 x y))

Compiler

Compiled 13 to 5 computations (61.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

Operation ival-div, time spent: 2.0ms, 46.0% of total-time

Operation ival-add, time spent: 2.0ms, 46.0% of total-time

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

series6.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 x (+.f64 x y))
1.0ms	y	@	-inf	(/.f64 x (+.f64 x y))
1.0ms	y	@	inf	(/.f64 x (+.f64 x y))
1.0ms	x	@	inf	(/.f64 x (+.f64 x y))
1.0ms	x	@	-inf	(/.f64 x (+.f64 x y))

rewrite197.0ms (7.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1016×	`unpow-prod-down`
946×	`prod-diff`
577×	`log1p-expm1-u`
577×	`expm1-log1p-u`
540×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	22
1	102	22
2	1517	22

Stop Event

1×	node limit

Counts

1 → 81

Calls

Call 1

Inputs
(/.f64 x (+.f64 x y))

Outputs
(+.f64 0 (/.f64 x (+.f64 x y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 x y))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 x y)))) 1)
(*.f64 x (/.f64 1 (+.f64 x y)))
(*.f64 (/.f64 x (+.f64 x y)) 1)
(*.f64 (/.f64 x (+.f64 x y)) (log.f64 (exp.f64 1)))
(*.f64 1 (/.f64 x (+.f64 x y)))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) 2) (cbrt.f64 (/.f64 x (+.f64 x y))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (+.f64 x y)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 1 (+.f64 x y))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (/.f64 (cbrt.f64 x) (+.f64 x y)) 1))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) (sqrt.f64 (/.f64 x (+.f64 x y))))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (+.f64 x y)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1 (+.f64 x y))))
(*.f64 (sqrt.f64 x) (pow.f64 (/.f64 (sqrt.f64 x) (+.f64 x y)) 1))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (+.f64 x y))))
(*.f64 (neg.f64 x) (pow.f64 (/.f64 1 (neg.f64 (+.f64 x y))) 1))
(*.f64 (/.f64 1 (+.f64 x y)) x)
(*.f64 (/.f64 1 (+.f64 x y)) (pow.f64 (/.f64 1 x) -1))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) -2) (/.f64 x (cbrt.f64 (+.f64 x y))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) -2) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x y)) x) -1))
(*.f64 (pow.f64 (+.f64 x y) -1/2) (/.f64 x (sqrt.f64 (+.f64 x y))))
(*.f64 (pow.f64 (+.f64 x y) -1/2) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x y)) x) -1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 x y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (cbrt.f64 (/.f64 x (+.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 x y))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 x y)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 x y))))
(*.f64 (/.f64 x (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 y (-.f64 y x) (pow.f64 x 2)))
(*.f64 (/.f64 x (-.f64 (pow.f64 x 2) (pow.f64 y 2))) (-.f64 x y))
(*.f64 (pow.f64 1 1/3) (/.f64 x (+.f64 x y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) -2) 1) (pow.f64 (/.f64 x (cbrt.f64 (+.f64 x y))) 1))
(*.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 1) (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x y))) 1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) 1) (pow.f64 (/.f64 (cbrt.f64 x) (+.f64 x y)) 1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) 1) (cbrt.f64 (/.f64 x (+.f64 x y))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x y))) 1) (pow.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 x y))) 1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) 1) 1) (pow.f64 (/.f64 (sqrt.f64 x) (+.f64 x y)) 1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) 1) (pow.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 x y))) 1))
(*.f64 (pow.f64 (/.f64 x (+.f64 (pow.f64 x 3) (pow.f64 y 3))) 1) (fma.f64 y (-.f64 y x) (pow.f64 x 2)))
(*.f64 (pow.f64 (/.f64 x (-.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) (-.f64 x y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (+.f64 x y)))) 2) 3) (cbrt.f64 (/.f64 x (+.f64 x y))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (+.f64 x y)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (+.f64 x y)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3)) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 (/.f64 x (+.f64 x y)) 2) x) 1/3) (cbrt.f64 (/.f64 1 (+.f64 x y))))
(.f64 (pow.f64 (pow.f64 (.f64 (/.f64 x (+.f64 x y)) (cbrt.f64 (/.f64 x (+.f64 x y)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 x (+.f64 x y)))))
(*.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 x (+.f64 x y)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) 2) -1) (cbrt.f64 (/.f64 x (+.f64 x y))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) -2) -1) (pow.f64 (/.f64 (+.f64 x y) (cbrt.f64 x)) -1))
(*.f64 (pow.f64 (pow.f64 x -1/2) -1) (pow.f64 (/.f64 (+.f64 x y) (sqrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x y)) x) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (pow.f64 (cbrt.f64 x) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (sqrt.f64 x)) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (sqrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 x y)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x y)) x) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 x) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 x)) -1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 x)) -1))
(pow.f64 (/.f64 x (+.f64 x y)) 1)
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) 3)
(pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) 2)
(pow.f64 (/.f64 (+.f64 x y) x) -1)
(pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 x y) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (+.f64 x y) x) 1) -1)
(neg.f64 (/.f64 x (neg.f64 (+.f64 x y))))
(neg.f64 (/.f64 (neg.f64 x) (+.f64 x y)))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 2))
(log.f64 (exp.f64 (/.f64 x (+.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 x y)))))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 x y) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 x y))))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 x y))))
(exp.f64 (log.f64 (/.f64 x (+.f64 x y))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 x y))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (+.f64 x y)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 x (+.f64 x y)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x (+.f64 x y)))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) x)) -1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 x (+.f64 x y))) 1) 1))

eval25.0ms (1%)

Compiler: Compiled 1385 to 655 computations (52.7% saved)

prune15.0ms (0.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	101	4	105
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	101	5	106

Accuracy

100.0%

Counts

106 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(pow.f64 (/.f64 (+.f64 x y) x) -1)
✓	100.0%	(/.f64 x (+.f64 x y))
▶	50.2%	(/.f64 x y)
▶	99.8%	(*.f64 (/.f64 1 (+.f64 x y)) x)
▶	51.1%	1

Compiler

Compiled 33 to 22 computations (33.3% saved)

localize62.0ms (2.4%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x y) x)
✓	99.7%	(pow.f64 (/.f64 (+.f64 x y) x) -1)
✓	100.0%	(/.f64 1 (+.f64 x y))
✓	99.8%	(*.f64 (/.f64 1 (+.f64 x y)) x)

Compiler

Compiled 45 to 16 computations (64.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

Operation ival-div, time spent: 8.0ms, 45.0% of total-time

Operation ival-pow, time spent: 5.0ms, 28.0% of total-time

Operation ival-add, time spent: 2.0ms, 11.0% of total-time

Operation ival-mult, time spent: 2.0ms, 11.0% of total-time

Operation const, time spent: 1.0ms, 6.0% of total-time

series19.0ms (0.7%)

Counts

4 → 93

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(*.f64 (/.f64 1 (+.f64 x y)) x)
1.0ms	x	@	-inf	(/.f64 (+.f64 x y) x)
1.0ms	y	@	0	(/.f64 1 (+.f64 x y))
1.0ms	y	@	inf	(/.f64 1 (+.f64 x y))
1.0ms	x	@	inf	(/.f64 (+.f64 x y) x)

rewrite111.0ms (4.4%)

Algorithm

1×	batch-egg-rewrite

Rules

946×	`prod-diff`
792×	`log-prod`
779×	`log1p-expm1-u`
779×	`expm1-log1p-u`
354×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	85
1	180	85
2	2413	85

Stop Event

1×	node limit

Counts

4 → 177

Calls

Call 1

Inputs
(*.f64 (/.f64 1 (+.f64 x y)) x)
(/.f64 1 (+.f64 x y))
(pow.f64 (/.f64 (+.f64 x y) x) -1)
(/.f64 (+.f64 x y) x)

Outputs
(+.f64 0 (/.f64 x (+.f64 x y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x y)))) (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x y)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 x y))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 x y)))) 1)
(/.f64 1 (/.f64 (+.f64 x y) x))
(/.f64 1 (/.f64 (/.f64 (+.f64 x y) x) 1))
(/.f64 x (+.f64 x y))
(/.f64 (/.f64 1 (+.f64 x y)) (/.f64 1 x))
(/.f64 -1 (neg.f64 (/.f64 (+.f64 x y) x)))
(/.f64 (neg.f64 x) (neg.f64 (+.f64 x y)))
(/.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) (sqrt.f64 (/.f64 (+.f64 x y) x)))
(/.f64 (/.f64 x (sqrt.f64 (+.f64 x y))) (sqrt.f64 (+.f64 x y)))
(/.f64 (/.f64 x 1) (+.f64 x y))
(/.f64 (*.f64 x -1) (neg.f64 (+.f64 x y)))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) 2)) (cbrt.f64 (/.f64 (+.f64 x y) x)))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (cbrt.f64 (+.f64 x y)))
(pow.f64 (/.f64 x (+.f64 x y)) 1)
(pow.f64 (/.f64 (+.f64 x y) x) -1)
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 x y) x) 2) -1/2)
(pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) 2)
(pow.f64 (/.f64 (/.f64 (+.f64 x y) x) 1) -1)
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 2))
(log.f64 (exp.f64 (/.f64 x (+.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 x y)))))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 1 (+.f64 x y)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 x y)) 3) (pow.f64 x 3)))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 x y) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 x y))))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 x y))))
(exp.f64 (log.f64 (/.f64 x (+.f64 x y))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 x y))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (+.f64 x y)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (+.f64 x y) x) 2)) -1/2))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 x (+.f64 x y)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x (+.f64 x y)))) 2))
(+.f64 0 (/.f64 1 (+.f64 x y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x y)))) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x y)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 x y))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x y)))) 1)
(*.f64 1 (/.f64 1 (+.f64 x y)))
(*.f64 (/.f64 1 (+.f64 x y)) 1)
(*.f64 (/.f64 1 (+.f64 x y)) (log.f64 (exp.f64 1)))
(*.f64 -1 (/.f64 1 (neg.f64 (+.f64 x y))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 x y))) (cbrt.f64 (pow.f64 (+.f64 x y) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x y) -2)) (/.f64 1 (cbrt.f64 (+.f64 x y))))
(*.f64 (pow.f64 (+.f64 x y) -1/2) (pow.f64 (+.f64 x y) -1/2))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (/.f64 1 (cbrt.f64 (+.f64 x y))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 y (-.f64 y x) (pow.f64 x 2)))
(*.f64 (/.f64 1 (-.f64 (pow.f64 x 2) (pow.f64 y 2))) (-.f64 x y))
(pow.f64 (+.f64 x y) -1)
(pow.f64 (/.f64 1 (+.f64 x y)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x y))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 x y)) 3) 1/3)
(pow.f64 (pow.f64 (+.f64 x y) -1/2) 2)
(pow.f64 (neg.f64 (neg.f64 (+.f64 x y))) -1)
(neg.f64 (/.f64 -1 (+.f64 x y)))
(sqrt.f64 (pow.f64 (+.f64 x y) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x y)))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 x y)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x y))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x y))))
(exp.f64 (neg.f64 (log.f64 (+.f64 x y))))
(exp.f64 (*.f64 (log.f64 (+.f64 x y)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x y))) 1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (+.f64 x y)))) 3))
(exp.f64 (.f64 (.f64 3 (neg.f64 (log.f64 (+.f64 x y)))) 1/3))
(exp.f64 (.f64 (.f64 -1/2 (log.f64 (+.f64 x y))) 2))
(+.f64 0 (/.f64 x (+.f64 x y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x y)))) (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x y)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 x y))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 x y)))) 1)
(*.f64 1 (/.f64 x (+.f64 x y)))
(*.f64 x (/.f64 1 (+.f64 x y)))
(*.f64 (/.f64 1 (+.f64 x y)) x)
(*.f64 (/.f64 1 (+.f64 x y)) (pow.f64 (/.f64 1 x) -1))
(*.f64 (/.f64 x (+.f64 x y)) 1)
(*.f64 (/.f64 x (+.f64 x y)) (log.f64 (exp.f64 1)))
(.f64 (cbrt.f64 (pow.f64 (+.f64 x y) -2)) (.f64 (/.f64 1 (cbrt.f64 (+.f64 x y))) x))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) 2) (cbrt.f64 (/.f64 x (+.f64 x y))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (+.f64 x y)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 1 (+.f64 x y))))
(*.f64 (pow.f64 (+.f64 x y) -1/2) (/.f64 x (sqrt.f64 (+.f64 x y))))
(.f64 (pow.f64 (+.f64 x y) -1/2) (.f64 (pow.f64 (+.f64 x y) -1/2) x))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (+.f64 x y)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1 (+.f64 x y))))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) (sqrt.f64 (/.f64 x (+.f64 x y))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (/.f64 x (cbrt.f64 (+.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 x y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (cbrt.f64 (/.f64 x (+.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 x y))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 x y)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 x y))))
(*.f64 (/.f64 1 (neg.f64 (+.f64 x y))) (neg.f64 x))
(.f64 (.f64 x (cbrt.f64 (pow.f64 (+.f64 x y) -2))) (/.f64 1 (cbrt.f64 (+.f64 x y))))
(.f64 (.f64 x (pow.f64 (+.f64 x y) -1/2)) (pow.f64 (+.f64 x y) -1/2))
(.f64 (.f64 (/.f64 1 (+.f64 x y)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (.f64 (/.f64 1 (+.f64 x y)) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) 2)) (cbrt.f64 (/.f64 x (+.f64 x y))))
(*.f64 (/.f64 x (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 y (-.f64 y x) (pow.f64 x 2)))
(*.f64 (/.f64 x (-.f64 (pow.f64 x 2) (pow.f64 y 2))) (-.f64 x y))
(/.f64 1 (/.f64 (+.f64 x y) x))
(/.f64 1 (/.f64 (/.f64 (+.f64 x y) x) 1))
(/.f64 x (+.f64 x y))
(/.f64 (/.f64 1 (+.f64 x y)) (/.f64 1 x))
(/.f64 -1 (neg.f64 (/.f64 (+.f64 x y) x)))
(/.f64 (neg.f64 x) (neg.f64 (+.f64 x y)))
(/.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) (sqrt.f64 (/.f64 (+.f64 x y) x)))
(/.f64 (/.f64 x (sqrt.f64 (+.f64 x y))) (sqrt.f64 (+.f64 x y)))
(/.f64 (/.f64 x 1) (+.f64 x y))
(/.f64 (*.f64 x -1) (neg.f64 (+.f64 x y)))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) 2)) (cbrt.f64 (/.f64 (+.f64 x y) x)))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (cbrt.f64 (+.f64 x y)))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 2))
(log.f64 (exp.f64 (/.f64 x (+.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 x y)))))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 1 (+.f64 x y)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 x y)) 3) (pow.f64 x 3)))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 x y) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 x y))))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 x y))))
(exp.f64 (log.f64 (/.f64 x (+.f64 x y))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 x y))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (+.f64 x y)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (+.f64 x y) x) 2)) -1/2))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 x (+.f64 x y)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x (+.f64 x y)))) 2))
(+.f64 0 (/.f64 (+.f64 x y) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) x))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x y) x))) 1)
(*.f64 1 (/.f64 (+.f64 x y) x))
(*.f64 (+.f64 x y) (/.f64 1 x))
(*.f64 (/.f64 (+.f64 x y) x) 1)
(*.f64 (/.f64 (+.f64 x y) x) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) 2) (cbrt.f64 (/.f64 (+.f64 x y) x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (/.f64 (cbrt.f64 (+.f64 x y)) x))
(.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (.f64 (cbrt.f64 (+.f64 x y)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x y) x)) (sqrt.f64 (/.f64 (+.f64 x y) x)))
(*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 (sqrt.f64 (+.f64 x y)) x))
(.f64 (sqrt.f64 (+.f64 x y)) (.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 x)))
(*.f64 (neg.f64 (+.f64 x y)) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 x) (+.f64 x y))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 x y) (cbrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 x y) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x y)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 x y) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 x y)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) 1) (/.f64 (sqrt.f64 (+.f64 x y)) x))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 x)))
(pow.f64 (/.f64 x (+.f64 x y)) -1)
(pow.f64 (/.f64 (+.f64 x y) x) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 x y) x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x y) x)) 2)
(pow.f64 (/.f64 (/.f64 x (+.f64 x y)) 1) -1)
(neg.f64 (/.f64 (+.f64 x y) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 (+.f64 x y)) x))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x y) x) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 x y) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x y) x))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) x) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x y) x)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x y) x)))
(exp.f64 (log.f64 (/.f64 (+.f64 x y) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) x)) 1))
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 x y))) -1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 x y) x))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (+.f64 x y) x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 x y) x))) 2))

eval76.0ms (3%)

Compiler: Compiled 3198 to 1620 computations (49.3% saved)

prune25.0ms (1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	269	1	270
Fresh	0	0	0
Picked	1	3	4
Done	0	1	1
Total	270	5	275

Accuracy

100.0%

Counts

275 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 x (+.f64 x y))
✓	50.2%	(/.f64 x y)
▶	99.7%	(/.f64 1 (/.f64 (+.f64 x y) x))
✓	99.8%	(*.f64 (/.f64 1 (+.f64 x y)) x)
✓	51.1%	1

Compiler

Compiled 33 to 22 computations (33.3% saved)

localize182.0ms (7.2%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x y) x)
✓	99.7%	(/.f64 1 (/.f64 (+.f64 x y) x))

Compiler

Compiled 21 to 8 computations (61.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 151.0ms

Operation ival-add, time spent: 147.0ms, 97.0% of total-time

Operation ival-div, time spent: 4.0ms, 3.0% of total-time

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

series7.0ms (0.3%)

Counts

2 → 45

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 1 (/.f64 (+.f64 x y) x))
1.0ms	y	@	inf	(/.f64 1 (/.f64 (+.f64 x y) x))
1.0ms	y	@	-inf	(/.f64 1 (/.f64 (+.f64 x y) x))
1.0ms	x	@	-inf	(/.f64 1 (/.f64 (+.f64 x y) x))
1.0ms	x	@	inf	(/.f64 1 (/.f64 (+.f64 x y) x))

rewrite110.0ms (4.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1566×	`unpow-prod-down`
946×	`prod-diff`
700×	`log1p-expm1-u`
700×	`expm1-log1p-u`
688×	`log-prod`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	50
1	135	44
2	1946	44

Stop Event

1×	node limit

Counts

2 → 200

Calls

Call 1

Inputs
(/.f64 1 (/.f64 (+.f64 x y) x))
(/.f64 (+.f64 x y) x)

Outputs
(+.f64 0 (/.f64 x (+.f64 x y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x y)))) (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x y)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 x y))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 x y)))) 1)
(*.f64 1 (/.f64 x (+.f64 x y)))
(*.f64 x (/.f64 1 (+.f64 x y)))
(*.f64 (/.f64 x (+.f64 x y)) 1)
(*.f64 (/.f64 x (+.f64 x y)) (log.f64 (exp.f64 1)))
(*.f64 -1 (/.f64 1 (/.f64 (+.f64 x y) (neg.f64 x))))
(*.f64 -1 (pow.f64 (/.f64 1 (/.f64 (+.f64 x y) (neg.f64 x))) 1))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) x) -2)))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) (pow.f64 (pow.f64 (/.f64 (+.f64 x y) x) -2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) x) -2)) (cbrt.f64 (/.f64 x (+.f64 x y))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) x) -2)) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (+.f64 x y)))) 2))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) x) -2)) (pow.f64 (/.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) 1) -1))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (+.f64 x y)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (/.f64 (cbrt.f64 x) (+.f64 x y)) 1))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) (sqrt.f64 (/.f64 x (+.f64 x y))))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) (pow.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 x y) x)) 1) -1))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (+.f64 x y)))
(*.f64 (sqrt.f64 x) (pow.f64 (/.f64 (sqrt.f64 x) (+.f64 x y)) 1))
(*.f64 (/.f64 1 (+.f64 x y)) x)
(*.f64 (/.f64 1 (+.f64 x y)) (pow.f64 (/.f64 1 x) -1))
(*.f64 (/.f64 1 (+.f64 x y)) (pow.f64 (/.f64 (/.f64 1 x) 1) -1))
(*.f64 (/.f64 1 (+.f64 x y)) (pow.f64 (pow.f64 (/.f64 1 x) -1) 1))
(*.f64 (pow.f64 (/.f64 1 x) -1) (/.f64 1 (+.f64 x y)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (/.f64 x (cbrt.f64 (+.f64 x y))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x y)) x) -1))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (pow.f64 (.f64 (cbrt.f64 (+.f64 x y)) (/.f64 1 x)) -1))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x y))) (/.f64 x (sqrt.f64 (+.f64 x y))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x y))) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x y)) x) -1))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 x y))) (pow.f64 (.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 x)) -1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 x y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 x y))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 x y)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 x y))))
(*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x y))) (/.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x y))))
(.f64 (.f64 (/.f64 1 (+.f64 x y)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (.f64 (/.f64 1 (+.f64 x y)) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 1 (neg.f64 (+.f64 x y))) (neg.f64 x))
(*.f64 (/.f64 1 (neg.f64 (+.f64 x y))) (pow.f64 (/.f64 1 (neg.f64 x)) -1))
(*.f64 (/.f64 x (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 y (-.f64 y x) (pow.f64 x 2)))
(*.f64 (/.f64 x (-.f64 (pow.f64 x 2) (pow.f64 y 2))) (-.f64 x y))
(*.f64 (pow.f64 1 1/3) (/.f64 x (+.f64 x y)))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) -1) (pow.f64 (/.f64 (+.f64 x y) (cbrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 x)) -1) (pow.f64 (/.f64 (+.f64 x y) (sqrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x y)) x) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (pow.f64 (cbrt.f64 x) 2)) -1) (cbrt.f64 (/.f64 x (+.f64 x y))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (sqrt.f64 x)) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (sqrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 x y)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x y)) x) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 x) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) 1) (pow.f64 (/.f64 x (cbrt.f64 (+.f64 x y))) 1))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 x y))) 1) (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x y))) 1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) 1) (pow.f64 (/.f64 (cbrt.f64 x) (+.f64 x y)) 1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) 1) (pow.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x y))) 1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x y))) 1) (pow.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 x y))) 1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) 1) 1) (pow.f64 (/.f64 (sqrt.f64 x) (+.f64 x y)) 1))
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(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x y))) 1) (pow.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x y))) 1))
(.f64 (pow.f64 (.f64 (/.f64 1 (+.f64 x y)) (pow.f64 (cbrt.f64 x) 2)) 1) (cbrt.f64 x))
(.f64 (pow.f64 (.f64 (/.f64 1 (+.f64 x y)) (sqrt.f64 x)) 1) (sqrt.f64 x))
(*.f64 (pow.f64 (/.f64 1 (neg.f64 (+.f64 x y))) 1) (neg.f64 x))
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(*.f64 (pow.f64 (/.f64 x (-.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) (-.f64 x y))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) x) -2))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (+.f64 x y)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (+.f64 x y)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (+.f64 x y)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 x y))) 3) x)
(.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (+.f64 x y)))) (cbrt.f64 (cbrt.f64 (/.f64 x (+.f64 x y))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (+.f64 x y)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (+.f64 x y)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (+.f64 x y)))) 3))
(*.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 x y) x) -2) 1/3) (cbrt.f64 (/.f64 x (+.f64 x y))))
(.f64 (pow.f64 (.f64 (/.f64 x (+.f64 x y)) (sqrt.f64 (/.f64 x (+.f64 x y)))) 1/3) (pow.f64 (*.f64 (/.f64 x (+.f64 x y)) (sqrt.f64 (/.f64 x (+.f64 x y)))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3)) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 (/.f64 (+.f64 x y) x) -2) (cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) x) -2))) 1/3) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 (/.f64 (+.f64 x y) x) -2) (sqrt.f64 (/.f64 x (+.f64 x y)))) 1/3) (pow.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 (/.f64 (+.f64 x y) x) -2) (/.f64 1 (+.f64 x y))) 1/3) (cbrt.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) x) -2))) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (+.f64 x y)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 x (+.f64 x y)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 x (+.f64 x y)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 1 (+.f64 x y))) 2) x)
(pow.f64 (/.f64 (+.f64 x y) x) -1)
(pow.f64 (/.f64 x (+.f64 x y)) 1)
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) 3)
(pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) 2)
(neg.f64 (/.f64 -1 (/.f64 (+.f64 x y) x)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x y) x) -2))
(log.f64 (exp.f64 (/.f64 x (+.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 x y)))))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 x y) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 x y))))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 x y))))
(exp.f64 (log.f64 (/.f64 x (+.f64 x y))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) x)) -1))
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 x y))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (+.f64 x y)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 x (+.f64 x y)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x (+.f64 x y)))) 2))
(+.f64 0 (/.f64 (+.f64 x y) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) x))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x y) x))) 1)
(*.f64 1 (/.f64 (+.f64 x y) x))
(*.f64 (+.f64 x y) (/.f64 1 x))
(*.f64 (+.f64 x y) (/.f64 (/.f64 1 x) 1))
(*.f64 (+.f64 x y) (pow.f64 (/.f64 (/.f64 1 x) 1) 1))
(*.f64 (+.f64 x y) (pow.f64 (cbrt.f64 (/.f64 1 x)) 3))
(*.f64 (+.f64 x y) (pow.f64 (sqrt.f64 (/.f64 1 x)) 2))
(*.f64 (/.f64 (+.f64 x y) x) 1)
(*.f64 (/.f64 (+.f64 x y) x) (log.f64 (exp.f64 1)))
(*.f64 -1 (pow.f64 (/.f64 1 (/.f64 (+.f64 x y) (neg.f64 x))) -1))
(*.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) 2))
(*.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) x) -2)) -1))
(*.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) (pow.f64 (pow.f64 (/.f64 (+.f64 x y) x) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) 2) (cbrt.f64 (/.f64 (+.f64 x y) x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) 2) (/.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) 1))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) 2) (pow.f64 (/.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) 1) 1))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 x y) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (/.f64 (cbrt.f64 (+.f64 x y)) x))
(.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (.f64 (cbrt.f64 (+.f64 x y)) (/.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x y)) x) 1))
(.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (pow.f64 (.f64 (cbrt.f64 (+.f64 x y)) (/.f64 1 x)) 1))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x y) x)) (sqrt.f64 (/.f64 (+.f64 x y) x)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x y) x)) (/.f64 (sqrt.f64 (/.f64 (+.f64 x y) x)) 1))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x y) x)) (pow.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 x y) x)) 1) 1))
(*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 (sqrt.f64 (+.f64 x y)) x))
(.f64 (sqrt.f64 (+.f64 x y)) (.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x y)) x) 1))
(.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 x)) 1))
(*.f64 (neg.f64 (+.f64 x y)) (/.f64 1 (neg.f64 x)))
(*.f64 (neg.f64 (+.f64 x y)) (pow.f64 (/.f64 1 (neg.f64 x)) 1))
(*.f64 (/.f64 1 x) (+.f64 x y))
(*.f64 (/.f64 1 x) (pow.f64 (/.f64 1 (+.f64 x y)) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 x y) (cbrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (pow.f64 (/.f64 (cbrt.f64 x) (+.f64 x y)) -1))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 x y) (sqrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (/.f64 (sqrt.f64 x) (+.f64 x y)) -1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x y)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 x y) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 x y)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) 1) (/.f64 (sqrt.f64 (+.f64 x y)) x))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 x)))
(*.f64 (pow.f64 1 1/3) (/.f64 (+.f64 x y) x))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) 1) (pow.f64 (/.f64 (+.f64 x y) (cbrt.f64 x)) 1))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 x)) 1) (pow.f64 (/.f64 (+.f64 x y) (sqrt.f64 x)) 1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) 1) 1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x y)) x) 1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (pow.f64 (cbrt.f64 x) 2)) 1) (cbrt.f64 (/.f64 (+.f64 x y) x)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (sqrt.f64 x)) 1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (sqrt.f64 x)) 1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 x y)) 1) 1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x y)) x) 1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 x) 2)) 1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 x)) 1))
(*.f64 (pow.f64 (/.f64 1 (+.f64 x y)) -1) (/.f64 1 x))
(*.f64 (pow.f64 (/.f64 1 (+.f64 x y)) -1) (pow.f64 (pow.f64 (/.f64 1 x) -1) -1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) x) -2)) -1) (cbrt.f64 (/.f64 (+.f64 x y) x)))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) -1) (pow.f64 (/.f64 x (cbrt.f64 (+.f64 x y))) -1))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 x y))) -1) (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x y))) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 x) (+.f64 x y)) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x y))) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x y))) -1) (pow.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 x y))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) 1) -1) (pow.f64 (/.f64 (sqrt.f64 x) (+.f64 x y)) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 x y))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x y))) -1) (pow.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x y))) -1))
(.f64 (pow.f64 (.f64 (/.f64 1 (+.f64 x y)) (pow.f64 (cbrt.f64 x) 2)) -1) (pow.f64 (cbrt.f64 x) -1))
(.f64 (pow.f64 (.f64 (/.f64 1 (+.f64 x y)) (sqrt.f64 x)) -1) (/.f64 1 (sqrt.f64 x)))
(*.f64 (pow.f64 (/.f64 1 (neg.f64 (+.f64 x y))) -1) (/.f64 1 (neg.f64 x)))
(*.f64 (pow.f64 (/.f64 x (+.f64 (pow.f64 x 3) (pow.f64 y 3))) -1) (/.f64 1 (fma.f64 y (-.f64 y x) (pow.f64 x 2))))
(*.f64 (pow.f64 (/.f64 x (-.f64 (pow.f64 x 2) (pow.f64 y 2))) -1) (/.f64 1 (-.f64 x y)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 x y) x))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 x y) x))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 x y) x))) 3))
(.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 x y) x))) (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 x y) x))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 x y) x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 x y) x))) 3))
(*.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 x y) x) 2) 1/3) (cbrt.f64 (/.f64 (+.f64 x y) x)))
(.f64 (pow.f64 (.f64 (/.f64 (+.f64 x y) x) (sqrt.f64 (/.f64 (+.f64 x y) x))) 1/3) (pow.f64 (*.f64 (/.f64 (+.f64 x y) x) (sqrt.f64 (/.f64 (+.f64 x y) x))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (+.f64 x y) x) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (+.f64 x y) x) 3)) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 (/.f64 (+.f64 x y) x) 2) (+.f64 x y)) 1/3) (pow.f64 (/.f64 1 x) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 (/.f64 (+.f64 x y) x) 2) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) 2)) 1/3) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 (/.f64 (+.f64 x y) x) 2) (sqrt.f64 (/.f64 (+.f64 x y) x))) 1/3) (pow.f64 (sqrt.f64 (/.f64 (+.f64 x y) x)) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 x y) x))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (+.f64 x y) x))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (+.f64 x y) x))) 2))
(pow.f64 (/.f64 (+.f64 x y) x) 1)
(pow.f64 (/.f64 x (+.f64 x y)) -1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 x y) x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x y) x)) 2)
(pow.f64 (/.f64 (/.f64 x (+.f64 x y)) 1) -1)
(neg.f64 (/.f64 (+.f64 x y) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x y) x) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 x y) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x y) x))))
(log.f64 (/.f64 1 (/.f64 1 (exp.f64 (/.f64 (+.f64 x y) x)))))
(log.f64 (/.f64 1 (exp.f64 (/.f64 (+.f64 x y) (neg.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) x) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x y) x)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x y) x)))
(exp.f64 (log.f64 (/.f64 (+.f64 x y) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) x)) 1))
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 x y))) -1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 x y) x))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (+.f64 x y) x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 x y) x))) 2))

eval71.0ms (2.8%)

Compiler: Compiled 3537 to 1650 computations (53.4% saved)

prune32.0ms (1.3%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	245	0	245
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	245	5	250

Accuracy

100.0%

Counts

250 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 x (+.f64 x y))
✓	50.2%	(/.f64 x y)
✓	99.7%	(/.f64 1 (/.f64 (+.f64 x y) x))
✓	99.8%	(*.f64 (/.f64 1 (+.f64 x y)) x)
✓	51.1%	1

Compiler

Compiled 65 to 36 computations (44.6% saved)

regimes13.0ms (0.5%)

Counts

6 → 1

Calls

Call 1

Inputs
1
(/.f64 x y)
(/.f64 x (+.f64 x y))
(*.f64 (/.f64 1 (+.f64 x y)) x)
(/.f64 1 (/.f64 (+.f64 x y) x))
(pow.f64 (/.f64 (+.f64 x y) x) -1)

Outputs
(/.f64 x (+.f64 x y))

Calls

3 calls:

5.0ms	x
4.0ms	y
3.0ms	(/.f64 x (+.f64 x y))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(/.f64 x (+.f64 x y))`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes41.0ms (1.6%)

Counts

2 → 5

Calls

Call 1

Inputs
1
(/.f64 x y)

Outputs
(/.f64 x y)
1
(/.f64 x y)
1
(/.f64 x y)

Calls

2 calls:

27.0ms	x
14.0ms	y

Results

Accuracy	Segments	Branch
80.0%	9	`x`
81.8%	5	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
1

Outputs
1

Calls

2 calls:

3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
51.1%	1	`x`
51.1%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch66.0ms (2.6%)

Algorithm

4×	binary-search

Stop Event

1×	done
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
24.0ms	1.2724774825793576e+61	2.3819570320830183e+67
16.0ms	-1.8420604077650308e-40	-1.1316651089969932e-45
10.0ms	-1.4756619427156366	-0.1146669743930578
14.0ms	-2.0619617519643482e+73	-4.142882746048205e+70

Results

57.0ms	511×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 371 to 288 computations (22.4% saved)

Precisions

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

Operation ival-div, time spent: 14.0ms, 75.0% of total-time

Operation ival-add, time spent: 4.0ms, 21.0% of total-time

Operation const, time spent: 1.0ms, 5.0% of total-time

soundness0.0ms (0%)

end0.0ms (0%)

preprocess31.0ms (1.2%)

Compiler: Compiled 84 to 48 computations (42.9% saved)

analyze20.0ms (0.8%)

sample1.3s (50.3%)

preprocess122.0ms (4.8%)

eval0.0ms (0%)

prune1.0ms (0%)

localize26.0ms (1%)

series6.0ms (0.2%)

rewrite197.0ms (7.8%)

eval25.0ms (1%)

prune15.0ms (0.6%)

localize62.0ms (2.4%)

series19.0ms (0.7%)

rewrite111.0ms (4.4%)

eval76.0ms (3%)

prune25.0ms (1%)

localize182.0ms (7.2%)

series7.0ms (0.3%)

rewrite110.0ms (4.3%)

eval71.0ms (2.8%)

prune32.0ms (1.3%)

regimes13.0ms (0.5%)

regimes41.0ms (1.6%)

regimes5.0ms (0.2%)

bsearch66.0ms (2.6%)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess31.0ms (1.2%)

Profiling