Details

analyze11.0ms (0.7%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50%	50%	0%	0%	0%	0
0%	0%	50%	50%	0%	0%	0%	1
50%	25%	25%	50%	0%	0%	0%	2
50%	25%	25%	50%	0%	0%	0%	3
75%	37.5%	12.5%	50%	0%	0%	0%	4
75%	37.5%	12.5%	50%	0%	0%	0%	5
87.5%	43.7%	6.2%	50%	0%	0%	0%	6
87.5%	43.7%	6.2%	50%	0%	0%	0%	7
93.8%	46.8%	3.1%	50%	0%	0%	0%	8
93.8%	46.8%	3.1%	50%	0%	0%	0%	9
96.9%	48.4%	1.6%	50%	0%	0%	0%	10
96.9%	48.4%	1.6%	50%	0%	0%	0%	11
98.4%	49.2%	0.8%	50%	0%	0%	0%	12

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample847.0ms (50.6%)

Results

837.0ms

8256×

body

256

valid

Bogosity

preprocess4.0ms (0.3%)

Algorithm

2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	22
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 8 to 6 computations (25% saved)

simplify14.0ms (0.8%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.02%

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.02%	(atan.f64 (/.f64 y x))

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.02%	(atan.f64 (/.f64 y x))

Compiler

Compiled 11 to 4 computations (63.6% saved)

series1.0ms (0%)

Counts

1 → 0

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	y	@	inf	(atan.f64 (/.f64 y x))
0.0ms	y	@	0	(atan.f64 (/.f64 y x))
0.0ms	y	@	-inf	(atan.f64 (/.f64 y x))
0.0ms	x	@	-inf	(atan.f64 (/.f64 y x))
0.0ms	x	@	inf	(atan.f64 (/.f64 y x))

rewrite64.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1454×	`add-sqr-sqrt`
1442×	`*-un-lft-identity`
1334×	`add-cube-cbrt`
1316×	`add-cbrt-cube`
1302×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	141	11
2	1777	11

Stop Event

1×	node limit

Counts

1 → 17

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (atan.f64 (/.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (atan.f64 (/.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (atan.f64 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (atan.f64 (/.f64 y x))) (sqrt.f64 (atan.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (atan.f64 (/.f64 y x))) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2) (cbrt.f64 (atan.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (/.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (atan.f64 (/.f64 y x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan.f64 (/.f64 y x))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (atan.f64 (/.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (/.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) (sqrt.f64 (atan.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2) (cbrt.f64 (atan.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (/.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (atan.f64 (/.f64 y x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan.f64 (/.f64 y x))))))))

simplify62.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

1288×	`associate-*r/`
938×	`*-commutative`
868×	`associate-*l/`
614×	`associate-r`
500×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	39	391
1	75	289
2	367	187
3	1698	187
4	3968	187
5	5969	187

Stop Event

1×	node limit

Counts

17 → 20

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (atan.f64 (/.f64 y x))) 1)
(*.f64 (atan.f64 (/.f64 y x)) 1)
(*.f64 1 (atan.f64 (/.f64 y x)))
(*.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) (sqrt.f64 (atan.f64 (/.f64 y x))))
(*.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2) (cbrt.f64 (atan.f64 (/.f64 y x))))
(pow.f64 (atan.f64 (/.f64 y x)) 1)
(pow.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) 2)
(pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 3)
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3) 1/3)
(sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2))
(log.f64 (exp.f64 (atan.f64 (/.f64 y x))))
(cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3))
(expm1.f64 (log1p.f64 (atan.f64 (/.f64 y x))))
(exp.f64 (log.f64 (atan.f64 (/.f64 y x))))
(exp.f64 (*.f64 (log.f64 (atan.f64 (/.f64 y x))) 1))
(log1p.f64 (expm1.f64 (atan.f64 (/.f64 y x))))

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

eval3.0ms (0.2%)

Compiler: Compiled 151 to 54 computations (64.2% saved)

prune3.0ms (0.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	19	1	20
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	19	2	21

Error

0.01%

Counts

21 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	37.1%	(-.f64 (+.f64 1 (atan.f64 (/.f64 y x))) 1)
✓	0.02%	(atan.f64 (/.f64 y x))

Compiler

Compiled 16 to 12 computations (25% saved)

localize9.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.02%	(atan.f64 (/.f64 y x))
✓	0.34%	(+.f64 1 (atan.f64 (/.f64 y x)))
✓	4.72%	(-.f64 (+.f64 1 (atan.f64 (/.f64 y x))) 1)

Compiler

Compiled 26 to 11 computations (57.7% saved)

series1.0ms (0.1%)

Counts

2 → 24

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(+.f64 1 (atan.f64 (/.f64 y x)))
0.0ms	y	@	0	(-.f64 (+.f64 1 (atan.f64 (/.f64 y x))) 1)
0.0ms	y	@	0	(+.f64 1 (atan.f64 (/.f64 y x)))
0.0ms	x	@	inf	(+.f64 1 (atan.f64 (/.f64 y x)))
0.0ms	y	@	inf	(+.f64 1 (atan.f64 (/.f64 y x)))

rewrite107.0ms (6.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1306×	`associate-*r/`
956×	`associate-*l/`
880×	`*-commutative`
810×	`associate-/r*`
618×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	40
1	217	28
2	2972	28

Stop Event

1×	node limit

Counts

2 → 165

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (atan.f64 (/.f64 y x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan.f64 (/.f64 y x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (atan.f64 (/.f64 y x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (atan.f64 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (atan.f64 (/.f64 y x)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (atan.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (atan.f64 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (atan.f64 (/.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (atan.f64 (/.f64 y x))) (sqrt.f64 (atan.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (atan.f64 (/.f64 y x))) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2) (cbrt.f64 (atan.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (/.f64 y x))) 2) -1) (/.f64 1 (+.f64 (atan.f64 (/.f64 y x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 -1 (pow.f64 (+.f64 1 (atan.f64 (/.f64 y x))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (/.f64 y x))) 2) (+.f64 (atan.f64 (/.f64 y x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1 (sqrt.f64 (+.f64 1 (atan.f64 (/.f64 y x))))) (-.f64 (sqrt.f64 (+.f64 1 (atan.f64 (/.f64 y x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (sqrt.f64 (+.f64 1 (atan.f64 (/.f64 y x)))) 1) (+.f64 1 (sqrt.f64 (+.f64 1 (atan.f64 (/.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 (atan.f64 (/.f64 y x)) 2)) (+.f64 (pow.f64 (+.f64 1 (atan.f64 (/.f64 y x))) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (/.f64 y x))) 2) (+.f64 (atan.f64 (/.f64 y x)) 2))) (+.f64 -1 (pow.f64 (+.f64 1 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Outputs

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x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1 (pow.f64 (atan.f64 (/.f64 y x)) 3)) (sqrt.f64 (+.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2) (-.f64 1 (atan.f64 (/.f64 y x)))))) (sqrt.f64 (+.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2) (-.f64 1 (atan.f64 (/.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1 (pow.f64 (atan.f64 (/.f64 y x)) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2) (-.f64 1 (atan.f64 (/.f64 y x))))) (cbrt.f64 (+.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2) (-.f64 1 (atan.f64 (/.f64 y x))))))) (cbrt.f64 (+.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2) (-.f64 1 (atan.f64 (/.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2) 1) 1) (+.f64 (atan.f64 (/.f64 y x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2) 1) (sqrt.f64 (+.f64 (atan.f64 (/.f64 y x)) -1))) (sqrt.f64 (+.f64 (atan.f64 (/.f64 y x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2) 1) (*.f64 (cbrt.f64 (+.f64 (atan.f64 (/.f64 y x)) -1)) (cbrt.f64 (+.f64 (atan.f64 (/.f64 y x)) -1)))) (cbrt.f64 (+.f64 (atan.f64 (/.f64 y x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2) 1) (+.f64 1 (sqrt.f64 (atan.f64 (/.f64 y x))))) (-.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (atan.f64 (/.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (atan.f64 (/.f64 y x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (atan.f64 (/.f64 y x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (atan.f64 (/.f64 y x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (atan.f64 (/.f64 y x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (atan.f64 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (atan.f64 (/.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (atan.f64 (/.f64 y x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 (atan.f64 (/.f64 y x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (atan.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (atan.f64 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (atan.f64 (/.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) (sqrt.f64 (atan.f64 (/.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2) (cbrt.f64 (atan.f64 (/.f64 y x))) 1)))))

simplify176.0ms (10.5%)

Algorithm

1×	egg-herbie

Rules

1102×	`associate--l+`
1048×	`associate-+l-`
994×	`associate-+r-`
894×	`+-commutative`
520×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	405	10205
1	1149	9819
2	5379	9819

Stop Event

1×	node limit

Counts

189 → 248

Calls

Call 1

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

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

eval141.0ms (8.4%)

Compiler: Compiled 7412 to 4009 computations (45.9% saved)

prune45.0ms (2.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	267	1	268
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	267	3	270

Error

Counts

270 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.67%	(/.f64 1 (/.f64 1 (atan.f64 (/.f64 y x))))
✓	37.1%	(-.f64 (+.f64 1 (atan.f64 (/.f64 y x))) 1)
✓	0.02%	(atan.f64 (/.f64 y x))

Compiler

Compiled 26 to 20 computations (23.1% saved)

localize10.0ms (0.6%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.02%	(atan.f64 (/.f64 y x))
✓	0.16%	(/.f64 1 (atan.f64 (/.f64 y x)))
✓	0.74%	(/.f64 1 (/.f64 1 (atan.f64 (/.f64 y x))))

Compiler

Compiled 26 to 11 computations (57.7% saved)

series3.0ms (0.2%)

Counts

2 → 24

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/.f64 1 (atan.f64 (/.f64 y x)))
0.0ms	y	@	inf	(/.f64 1 (atan.f64 (/.f64 y x)))
0.0ms	y	@	0	(/.f64 1 (atan.f64 (/.f64 y x)))
0.0ms	y	@	-inf	(/.f64 1 (atan.f64 (/.f64 y x)))
0.0ms	x	@	inf	(/.f64 1 (atan.f64 (/.f64 y x)))

rewrite60.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1802×	`add-sqr-sqrt`
1786×	`*-un-lft-identity`
1656×	`add-cube-cbrt`
1636×	`add-cbrt-cube`
184×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	28
1	207	28
2	2316	28

Stop Event

1×	node limit

Counts

2 → 47

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (atan.f64 (/.f64 y x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (/.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) (sqrt.f64 (atan.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2) (cbrt.f64 (atan.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (atan.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) -1/2) -1) (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) -2)) -1) (pow.f64 (cbrt.f64 (/.f64 1 (atan.f64 (/.f64 y x)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (/.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (atan.f64 (/.f64 y x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (atan.f64 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x atan.f64 (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (atan.f64 (/.f64 y x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (atan.f64 (/.f64 y x)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan.f64 (/.f64 y x))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (atan.f64 (/.f64 y x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (atan.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (atan.f64 (/.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (atan.f64 (/.f64 y x)) -1/2) (pow.f64 (atan.f64 (/.f64 y x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (atan.f64 (/.f64 y x)))) (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) -2)) (cbrt.f64 (/.f64 1 (atan.f64 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (atan.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) -1) (pow.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2) -1) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (/.f64 y x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (atan.f64 (/.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (atan.f64 (/.f64 y x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (atan.f64 (/.f64 y x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (atan.f64 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (atan.f64 (/.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (atan.f64 (/.f64 y x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (atan.f64 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (atan.f64 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (atan.f64 (/.f64 y x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (atan.f64 (/.f64 y x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (atan.f64 (/.f64 y x)))))))))

simplify58.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

886×	`unswap-sqr`
754×	`associate-+r+`
686×	`distribute-lft-neg-in`
628×	`distribute-rgt-neg-in`
542×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	95	1027
1	200	1027
2	925	1021
3	4652	1021

Stop Event

1×	node limit

Counts

71 → 50

Calls

Call 1

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

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

eval13.0ms (0.8%)

Compiler: Compiled 748 to 373 computations (50.1% saved)

prune10.0ms (0.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	70	3	73

Error

Counts

73 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.67%	(/.f64 1 (/.f64 1 (atan.f64 (/.f64 y x))))
✓	37.1%	(-.f64 (+.f64 1 (atan.f64 (/.f64 y x))) 1)
✓	0.02%	(atan.f64 (/.f64 y x))

Compiler

Compiled 26 to 20 computations (23.1% saved)

regimes15.0ms (0.9%)

Accuracy

Total -23.7b remaining (-202618.4%)

Threshold costs -23.7b (-202618.4%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	x
3.0ms	y
3.0ms	(/.f64 y x)
2.0ms	(atan.f64 (/.f64 y x))

Results

Error	Segments	Branch
0.02%	1	`x`
0.02%	1	`y`
0.02%	1	`(atan.f64 (/.f64 y x))`
0.02%	1	`(/.f64 y x)`

Compiler

Compiled 39 to 23 computations (41% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

soundness0.0ms (0%)

end11.0ms (0.6%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

Details

analyze11.0ms (0.7%)

sample847.0ms (50.6%)

preprocess4.0ms (0.3%)

simplify14.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

localize4.0ms (0.3%)

series1.0ms (0%)

rewrite64.0ms (3.8%)

simplify62.0ms (3.7%)

eval3.0ms (0.2%)

prune3.0ms (0.2%)

localize9.0ms (0.5%)

series1.0ms (0.1%)

rewrite107.0ms (6.4%)

simplify176.0ms (10.5%)

eval141.0ms (8.4%)

prune45.0ms (2.7%)

localize10.0ms (0.6%)

series3.0ms (0.2%)

rewrite60.0ms (3.6%)

simplify58.0ms (3.5%)

eval13.0ms (0.8%)

prune10.0ms (0.6%)

regimes15.0ms (0.9%)

simplify4.0ms (0.2%)

soundness0.0ms (0%)

end11.0ms (0.6%)

Profiling