Details

analyze11.0ms (0.1%)

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)

sample683.0ms (5.5%)

Results

672.0ms

8256×

body

256

valid

Bogosity

preprocess3.0s (24.5%)

Algorithm

2×

egglog

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)

simplify1.5s (12.2%)

Algorithm

1×

egglog

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

0.0b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(atan.f64 (/.f64 y x))

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(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))

Compiler

Compiled 15 to 15 computations (0% saved)

rewrite1.5s (12.1%)

Algorithm

1×	batch-egg-rewrite

Rules

23× egg-rr

Counts

1 → 23

Calls

Call 1

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (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 (atan.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) (cbrt.f64 (atan.f64 (/.f64 y x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) 2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) 2) 2) (cbrt.f64 (atan.f64 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2)) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) 2) 2))))) (#(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 -1 (neg.f64 (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 0 (neg.f64 (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 (neg.f64 (atan.f64 (/.f64 y x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x atan.f64 (/.f64 y x))))) (#(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 (atan.f64 (/.f64 y x)) 1)))) (#(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 cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (atan.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (pow.f64 (neg.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (atan.f64 (/.f64 y x)) 0) (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) -1) -1) (atan.f64 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 1 0) (atan.f64 (/.f64 y x)) (atan.f64 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 -1 0) (atan.f64 (/.f64 y x)) (atan.f64 (/.f64 y x)))))))

simplify1.8s (14.5%)

Algorithm

1×

egglog

Counts

23 → 23

Calls

Call 1

Inputs
(*.f64 (cbrt.f64 (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 (atan.f64 (/.f64 y x))))
(.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) (cbrt.f64 (atan.f64 (/.f64 y x)))) 2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) 2) 2) (cbrt.f64 (atan.f64 (/.f64 y x)))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2)) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) 2))
(.f64 (.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) 2) 2))
(*.f64 1 (atan.f64 (/.f64 y x)))
(*.f64 (atan.f64 (/.f64 y x)) 1)
(*.f64 -1 (neg.f64 (atan.f64 (/.f64 y x))))
(*.f64 (/.f64 (atan.f64 (/.f64 y x)) -1) -1)
(-.f64 0 (neg.f64 (atan.f64 (/.f64 y x))))
(/.f64 (atan.f64 (/.f64 y x)) 1)
(/.f64 (neg.f64 (atan.f64 (/.f64 y x))) -1)
(atan.f64 (/.f64 y x))
(pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 3)
(pow.f64 (atan.f64 (/.f64 y x)) 1)
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3) 1/3)
(cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3))
(neg.f64 (neg.f64 (atan.f64 (/.f64 y x))))
(neg.f64 (pow.f64 (neg.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) 3))
(if (!=.f64 (atan.f64 (/.f64 y x)) 0) (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) -1) -1) (atan.f64 (/.f64 y x)))
(if (!=.f64 1 0) (atan.f64 (/.f64 y x)) (atan.f64 (/.f64 y x)))
(if (!=.f64 -1 0) (atan.f64 (/.f64 y x)) (atan.f64 (/.f64 y x)))

Outputs
(*.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2)))
(atan.f64 (/.f64 y x))
(*.f64 (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2)) (cbrt.f64 (atan.f64 (/.f64 y x))))
(atan.f64 (/.f64 y x))
(.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) (cbrt.f64 (atan.f64 (/.f64 y x)))) 2))
(atan.f64 (/.f64 y x))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) 2) 2) (cbrt.f64 (atan.f64 (/.f64 y x)))))
(atan.f64 (/.f64 y x))
(.f64 (.f64 (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2)) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) 2))
(atan.f64 (/.f64 y x))
(.f64 (.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) 2) 2))
(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 -1 (neg.f64 (atan.f64 (/.f64 y x))))
(atan.f64 (/.f64 y x))
(*.f64 (/.f64 (atan.f64 (/.f64 y x)) -1) -1)
(atan.f64 (/.f64 y x))
(-.f64 0 (neg.f64 (atan.f64 (/.f64 y x))))
(atan.f64 (/.f64 y x))
(/.f64 (atan.f64 (/.f64 y x)) 1)
(atan.f64 (/.f64 y x))
(/.f64 (neg.f64 (atan.f64 (/.f64 y x))) -1)
(atan.f64 (/.f64 y x))
(atan.f64 (/.f64 y x))
(pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 3)
(atan.f64 (/.f64 y x))
(pow.f64 (atan.f64 (/.f64 y x)) 1)
(atan.f64 (/.f64 y x))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3) 1/3)
(atan.f64 (/.f64 y x))
(cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3))
(atan.f64 (/.f64 y x))
(neg.f64 (neg.f64 (atan.f64 (/.f64 y x))))
(atan.f64 (/.f64 y x))
(neg.f64 (pow.f64 (neg.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) 3))
(atan.f64 (/.f64 y x))
(if (!=.f64 (atan.f64 (/.f64 y x)) 0) (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) -1) -1) (atan.f64 (/.f64 y x)))
(if (!=.f64 1 0) (atan.f64 (/.f64 y x)) (atan.f64 (/.f64 y x)))
(if (!=.f64 -1 0) (atan.f64 (/.f64 y x)) (atan.f64 (/.f64 y x)))

eval5.0ms (0%)

Compiler: Compiled 259 to 89 computations (65.6% saved)

prune4.0ms (0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	22	1	23
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	22	2	24

Error

Counts

24 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	14.0b	(cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3))
✓	0.0b	(atan.f64 (/.f64 y x))

Compiler

Compiled 15 to 11 computations (26.7% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(atan.f64 (/.f64 y x))
✓	0.6b	(pow.f64 (atan.f64 (/.f64 y x)) 3)
✓	14.0b	(cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3))

Compiler

Compiled 25 to 10 computations (60% saved)

series45.0ms (0.4%)

Counts

2 → 24

Calls

12 calls:

Time	Variable		Point	Expression
10.0ms	x	@	0	(cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3))
3.0ms	x	@	inf	(cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3))
3.0ms	y	@	0	(cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3))
3.0ms	y	@	-inf	(cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3))
2.0ms	y	@	inf	(cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3))

Compiler

Compiled 2895 to 985 computations (66% saved)

rewrite1.5s (11.9%)

Algorithm

1×	batch-egg-rewrite

Rules

31×	`egg-rr`
29×	`egg-rr`

Counts

2 → 60

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3))
(pow.f64 (atan.f64 (/.f64 y x)) 3)

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (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 (atan.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2))) 2) (cbrt.f64 (atan.f64 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2))) (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) (cbrt.f64 (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2)) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))) (cbrt.f64 (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2) (cbrt.f64 (atan.f64 (/.f64 y x))))) (cbrt.f64 (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2) 2)) 2)))))) (#(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 (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 (/.f64 (atan.f64 (/.f64 y x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (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 atan.f64 (/.f64 y x))))) (#(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 pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (/.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (atan.f64 (/.f64 y x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 -1 (atan.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 0) (/.f64 1 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) -3)) (atan.f64 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3) 0) (/.f64 1 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3) -1/3)) (atan.f64 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (atan.f64 (/.f64 y x)) 0) (/.f64 1 (pow.f64 (atan.f64 (/.f64 y x)) -1)) (atan.f64 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 1 0) (atan.f64 (/.f64 y x)) (atan.f64 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 -1 0) (atan.f64 (/.f64 y x)) (atan.f64 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 2 0) (atan.f64 (/.f64 y x)) (atan.f64 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (atan.f64 (/.f64 y x))) (*.f64 1/2 (atan.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan.f64 (/.f64 y x)) 1/2) (*.f64 (atan.f64 (/.f64 y x)) 1/2))))))

((#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2) (atan.f64 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (/.f64 y x)) (pow.f64 (atan.f64 (/.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2))) (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2) (cbrt.f64 (atan.f64 (/.f64 y x)))) (cbrt.f64 (atan.f64 (/.f64 y x)))) (cbrt.f64 (atan.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2) (cbrt.f64 (atan.f64 (/.f64 y x)))) (cbrt.f64 (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2) (cbrt.f64 (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)) (*.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2) (cbrt.f64 (atan.f64 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2) 2)) 2) (cbrt.f64 (atan.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2) 2)) (*.f64 (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2)) (atan.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2)) (atan.f64 (/.f64 y x))) (cbrt.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (atan.f64 (/.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.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)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3) -1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 -1 (pow.f64 (atan.f64 (/.f64 y x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (atan.f64 (/.f64 y x)) 0) (/.f64 1 (pow.f64 (atan.f64 (/.f64 y x)) -3)) (pow.f64 (atan.f64 (/.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3) 3) 0) (/.f64 1 (pow.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3) 3) -1/3)) (pow.f64 (atan.f64 (/.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3) 0) (/.f64 1 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3) -1)) (pow.f64 (atan.f64 (/.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 1 0) (pow.f64 (atan.f64 (/.f64 y x)) 3) (pow.f64 (atan.f64 (/.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 -1 0) (pow.f64 (atan.f64 (/.f64 y x)) 3) (pow.f64 (atan.f64 (/.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 2 0) (pow.f64 (atan.f64 (/.f64 y x)) 3) (pow.f64 (atan.f64 (/.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (pow.f64 (atan.f64 (/.f64 y x)) 3)) (*.f64 1/2 (pow.f64 (atan.f64 (/.f64 y x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3) 1/2) (*.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3) 1/2))))))

simplify2.2s (18.2%)

Algorithm

1×

egglog

Counts

84 → 64

Calls

Call 1

Inputs
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2) (atan.f64 (/.f64 y x)))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2) (atan.f64 (/.f64 y x)))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2) (atan.f64 (/.f64 y x)))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2) (atan.f64 (/.f64 y x)))
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(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2) (atan.f64 (/.f64 y x)))
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(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2) (atan.f64 (/.f64 y x)))
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(*.f64 (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2)) (cbrt.f64 (atan.f64 (/.f64 y x))))
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(*.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2) 2)) 2)))
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(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2) (atan.f64 (/.f64 y x)))
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(if (!=.f64 -1 0) (pow.f64 (atan.f64 (/.f64 y x)) 3) (pow.f64 (atan.f64 (/.f64 y x)) 3))
(if (!=.f64 2 0) (pow.f64 (atan.f64 (/.f64 y x)) 3) (pow.f64 (atan.f64 (/.f64 y x)) 3))
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(+.f64 (.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3) 1/2) (.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3) 1/2))

Outputs
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2) (atan.f64 (/.f64 y x)))
(pow.f64 (atan.f64 (/.f64 y x)) 3)
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2) (atan.f64 (/.f64 y x)))
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(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2) (atan.f64 (/.f64 y x)))
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(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2) (atan.f64 (/.f64 y x)))
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(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2) (atan.f64 (/.f64 y x)))
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(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2) (atan.f64 (/.f64 y x)))
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(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2) (atan.f64 (/.f64 y x)))
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(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2) (atan.f64 (/.f64 y x)))
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(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2) (atan.f64 (/.f64 y x)))
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(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2) (atan.f64 (/.f64 y x)))
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(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2) (atan.f64 (/.f64 y x)))
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(.f64 (cbrt.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2) 2)) (.f64 (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2)) (atan.f64 (/.f64 y x))))
(pow.f64 (atan.f64 (/.f64 y x)) 3)
(.f64 (.f64 (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2)) (atan.f64 (/.f64 y x))) (cbrt.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2) 2)))
(pow.f64 (atan.f64 (/.f64 y x)) 3)
(*.f64 (/.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3) -1) -1)
(pow.f64 (atan.f64 (/.f64 y x)) 3)
(*.f64 1 (pow.f64 (atan.f64 (/.f64 y x)) 3))
(pow.f64 (atan.f64 (/.f64 y x)) 3)
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3) 1)
(pow.f64 (atan.f64 (/.f64 y x)) 3)
(*.f64 (/.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3) 2) 2)
(pow.f64 (atan.f64 (/.f64 y x)) 3)
(/.f64 (neg.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3)) -1)
(pow.f64 (atan.f64 (/.f64 y x)) 3)
(/.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3) 1)
(pow.f64 (atan.f64 (/.f64 y x)) 3)
(pow.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3) 3) 1/3)
(pow.f64 (atan.f64 (/.f64 y x)) 3)
(pow.f64 (atan.f64 (/.f64 y x)) 3)
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3) 1)
(pow.f64 (atan.f64 (/.f64 y x)) 3)
(cbrt.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3) 3))
(pow.f64 (atan.f64 (/.f64 y x)) 3)
(neg.f64 (*.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3) -1))
(pow.f64 (atan.f64 (/.f64 y x)) 3)
(neg.f64 (*.f64 -1 (pow.f64 (atan.f64 (/.f64 y x)) 3)))
(pow.f64 (atan.f64 (/.f64 y x)) 3)
(if (!=.f64 (atan.f64 (/.f64 y x)) 0) (/.f64 1 (pow.f64 (atan.f64 (/.f64 y x)) -3)) (pow.f64 (atan.f64 (/.f64 y x)) 3))
(if (!=.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3) 3) 0) (/.f64 1 (pow.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3) 3) -1/3)) (pow.f64 (atan.f64 (/.f64 y x)) 3))
(if (!=.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3) 0) (/.f64 1 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3) -1)) (pow.f64 (atan.f64 (/.f64 y x)) 3))
(if (!=.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3) 0) (pow.f64 (pow.f64 (/.f64 1 (atan.f64 (/.f64 y x))) -1) 3) (pow.f64 (atan.f64 (/.f64 y x)) 3))
(if (!=.f64 1 0) (pow.f64 (atan.f64 (/.f64 y x)) 3) (pow.f64 (atan.f64 (/.f64 y x)) 3))
(if (!=.f64 -1 0) (pow.f64 (atan.f64 (/.f64 y x)) 3) (pow.f64 (atan.f64 (/.f64 y x)) 3))
(if (!=.f64 2 0) (pow.f64 (atan.f64 (/.f64 y x)) 3) (pow.f64 (atan.f64 (/.f64 y x)) 3))
(+.f64 (.f64 1/2 (pow.f64 (atan.f64 (/.f64 y x)) 3)) (.f64 1/2 (pow.f64 (atan.f64 (/.f64 y x)) 3)))
(pow.f64 (atan.f64 (/.f64 y x)) 3)
(+.f64 (.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3) 1/2) (.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3) 1/2))
(pow.f64 (atan.f64 (/.f64 y x)) 3)

eval21.0ms (0.2%)

Compiler: Compiled 1297 to 602 computations (53.6% saved)

prune10.0ms (0.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	87	2	89

Error

Counts

89 → 2

Alt Table

Click to see full alt table

Status	Error	Program
✓	14.0b	(cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3))
✓	0.0b	(atan.f64 (/.f64 y x))

Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes15.0ms (0.1%)

Accuracy

Total -14.0b remaining (-357217.7%)

Threshold costs -14.0b (-357217.7%)

Counts

2 → 1

Calls

Call 1

Inputs
(atan.f64 (/.f64 y x))
(cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3))

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

Calls

4 calls:

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

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`(atan.f64 (/.f64 y x))`
0.0b	1	`(/.f64 y x)`

Compiler

Compiled 30 to 18 computations (40% saved)

simplify0.0ms (0%)

Stop Event

1×

done

Compiler

Compiled 6 to 4 computations (33.3% saved)

soundness0.0ms (0%)

end11.0ms (0.1%)

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

Details

analyze11.0ms (0.1%)

sample683.0ms (5.5%)

preprocess3.0s (24.5%)

simplify1.5s (12.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize9.0ms (0.1%)

series1.0ms (0%)

rewrite1.5s (12.1%)

simplify1.8s (14.5%)

eval5.0ms (0%)

prune4.0ms (0%)

localize11.0ms (0.1%)

series45.0ms (0.4%)

rewrite1.5s (11.9%)

simplify2.2s (18.2%)

eval21.0ms (0.2%)

prune10.0ms (0.1%)

regimes15.0ms (0.1%)

simplify0.0ms (0%)

soundness0.0ms (0%)

end11.0ms (0.1%)

Profiling