Details

analyze11.0ms (0.9%)

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)

sample811.0ms (66.8%)

Results

801.0ms

8256×

body

256

valid

Bogosity

preprocess16.0ms (1.3%)

Algorithm

2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	12
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)

simplify6.0ms (0.5%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6

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 (0.1%)

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)

localize7.0ms (0.5%)

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)

series2.0ms (0.1%)

Counts

1 → 0

Calls

6 calls:

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

rewrite37.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

547×	`pow1_binary64`
522×	`add-sqr-sqrt_binary64`
504×	`add-log-exp_binary64`
504×	`log1p-expm1-u_binary64`
504×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	103	6
2	1341	6

Stop Event

1×	node limit

Counts

1 → 16

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

simplify45.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

528×	`log-prod_binary64`
492×	`fma-neg_binary64`
371×	`exp-prod_binary64`
262×	`sqr-pow_binary64`
248×	`exp-sum_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	192
1	69	144
2	273	96
3	1656	96
4	3893	96
5	5747	96

Stop Event

1×	node limit

Counts

16 → 19

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

eval3.0ms (0.2%)

Compiler: Compiled 143 to 51 computations (64.3% saved)

prune3.0ms (0.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	17	2	19
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	17	3	20

Error

0.0b

Counts

20 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	26.6b	(pow.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) 2)
▶	14.2b	(cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3))
✓	0.0b	(atan.f64 (/.f64 y x))

Compiler

Compiled 24 to 18 computations (25% saved)

localize9.0ms (0.7%)

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)
✓	14.1b	(cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3))

Compiler

Compiled 25 to 10 computations (60% saved)

series8.0ms (0.7%)

Counts

2 → 24

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(pow.f64 (atan.f64 (/.f64 y x)) 3)
1.0ms	y	@	-inf	(pow.f64 (atan.f64 (/.f64 y x)) 3)
1.0ms	y	@	inf	(pow.f64 (atan.f64 (/.f64 y x)) 3)
1.0ms	y	@	0	(pow.f64 (atan.f64 (/.f64 y x)) 3)
1.0ms	x	@	-inf	(pow.f64 (atan.f64 (/.f64 y x)) 3)

rewrite43.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

717×	`pow1_binary64`
672×	`add-log-exp_binary64`
672×	`log1p-expm1-u_binary64`
672×	`expm1-log1p-u_binary64`
655×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	171	15
2	1847	15

Stop Event

1×	node limit

Counts

2 → 39

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 (+.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 (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 (cbrt.f64 (atan.f64 (/.f64 y x))) (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2) 1/3))))) (#(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 (sqrt.f64 (atan.f64 (/.f64 y x))) (sqrt.f64 (atan.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2) 1/3) (cbrt.f64 (atan.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (atan.f64 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3/2) 1/3) (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3/2) 1/3))))) (#(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 pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) 2)))) (#(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 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 log1p.f64 (expm1.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 -.f64 (+.f64 1 (pow.f64 (atan.f64 (/.f64 y x)) 3)) 1)))) (#(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 (pow.f64 (atan.f64 (/.f64 y x)) 3) 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)) 2) (atan.f64 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2) (.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) (pow.f64 (atan.f64 (/.f64 y x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (atan.f64 (/.f64 y x))) (.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) (pow.f64 (atan.f64 (/.f64 y x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (atan.f64 (/.f64 y x)) 3/2) (pow.f64 (atan.f64 (/.f64 y x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2) 3) (atan.f64 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) 3) (pow.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2) 1) (atan.f64 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2) (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 (atan.f64 (/.f64 y x)) 2) (sqrt.f64 (atan.f64 (/.f64 y x)))) (sqrt.f64 (atan.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3)))))) (#(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 expm1.f64 (log1p.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 3 (log.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 (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 (cbrt.f64 (atan.f64 (/.f64 y x))) (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2) 1/3))))) (#(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 (sqrt.f64 (atan.f64 (/.f64 y x))) (sqrt.f64 (atan.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2) 1/3) (cbrt.f64 (atan.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (atan.f64 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3/2) 1/3) (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3/2) 1/3))))) (#(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 pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) 2)))) (#(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 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 log1p.f64 (expm1.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 -.f64 (+.f64 1 (pow.f64 (atan.f64 (/.f64 y x)) 3)) 1)))) (#(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 (pow.f64 (atan.f64 (/.f64 y x)) 3) 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)) 2) (atan.f64 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2) (*.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) (pow.f64 (atan.f64 (/.f64 y x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) (*.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) (pow.f64 (atan.f64 (/.f64 y x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3/2) (pow.f64 (atan.f64 (/.f64 y x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2) 3) (atan.f64 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) 3) (pow.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2) 1) (atan.f64 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2) (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 (atan.f64 (/.f64 y x)) 2) (sqrt.f64 (atan.f64 (/.f64 y x)))) (sqrt.f64 (atan.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3)))))) (#(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 expm1.f64 (log1p.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (atan.f64 (/.f64 y x)))))))))

simplify47.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

400×	`unswap-sqr_binary64`
393×	`exp-prod_binary64`
347×	`fma-neg_binary64`
342×	`fma-def_binary64`
326×	`exp-sum_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	77	549
1	159	492
2	553	435
3	2322	435
4	6062	435

Stop Event

1×	node limit

Counts

63 → 42

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 (+.f64 1 (atan.f64 (/.f64 y x))) 1)
(*.f64 (atan.f64 (/.f64 y x)) 1)
(*.f64 1 (atan.f64 (/.f64 y x)))
(*.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2))
(*.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2) (cbrt.f64 (atan.f64 (/.f64 y x))))
(*.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) (sqrt.f64 (atan.f64 (/.f64 y x))))
(*.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2) 1/3) (cbrt.f64 (atan.f64 (/.f64 y x))))
(*.f64 (pow.f64 1 1/3) (atan.f64 (/.f64 y x)))
(*.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3/2) 1/3) (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3/2) 1/3))
(pow.f64 (atan.f64 (/.f64 y x)) 1)
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3) 1/3)
(pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 3)
(pow.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) 2)
(sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2))
(log.f64 (exp.f64 (atan.f64 (/.f64 y x))))
(atan.f64 (/.f64 y x))
(expm1.f64 (log1p.f64 (atan.f64 (/.f64 y x))))
(log1p.f64 (expm1.f64 (atan.f64 (/.f64 y x))))
(exp.f64 (log.f64 (atan.f64 (/.f64 y x))))
(-.f64 (+.f64 1 (pow.f64 (atan.f64 (/.f64 y x)) 3)) 1)
(*.f64 (atan.f64 (/.f64 y x)) (pow.f64 (atan.f64 (/.f64 y x)) 2))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3) 1)
(*.f64 1 (pow.f64 (atan.f64 (/.f64 y x)) 3))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2) (atan.f64 (/.f64 y x)))
(.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2) (.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) (pow.f64 (atan.f64 (/.f64 y x)) 2)))
(.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) (.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) (pow.f64 (atan.f64 (/.f64 y x)) 2)))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3/2) (pow.f64 (atan.f64 (/.f64 y x)) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2) 3) (atan.f64 (/.f64 y x)))
(*.f64 (pow.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) 3) (pow.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) 3))
(.f64 (.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2) 1) (atan.f64 (/.f64 y x)))
(.f64 (.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2)) (cbrt.f64 (atan.f64 (/.f64 y x))))
(.f64 (.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2) (sqrt.f64 (atan.f64 (/.f64 y x)))) (sqrt.f64 (atan.f64 (/.f64 y x))))
(sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 6))
(log.f64 (exp.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3)))
(cbrt.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3)))
(exp.f64 (*.f64 3 (log.f64 (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 (+.f64 1 (atan.f64 (/.f64 y x))) 1)
(atan.f64 (/.f64 y x))
(*.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 (cbrt.f64 (atan.f64 (/.f64 y x))) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2))
(atan.f64 (/.f64 y x))
(*.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2) 1/3))
(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 (sqrt.f64 (atan.f64 (/.f64 y x))) (sqrt.f64 (atan.f64 (/.f64 y x))))
(atan.f64 (/.f64 y x))
(*.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2) 1/3) (cbrt.f64 (atan.f64 (/.f64 y x))))
(atan.f64 (/.f64 y x))
(*.f64 (pow.f64 1 1/3) (atan.f64 (/.f64 y x)))
(atan.f64 (/.f64 y x))
(*.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3/2) 1/3) (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3/2) 1/3))
(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))
(pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 3)
(atan.f64 (/.f64 y x))
(pow.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) 2)
(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))
(atan.f64 (/.f64 y x))
(expm1.f64 (log1p.f64 (atan.f64 (/.f64 y x))))
(atan.f64 (/.f64 y x))
(log1p.f64 (expm1.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))
(-.f64 (+.f64 1 (pow.f64 (atan.f64 (/.f64 y x)) 3)) 1)
(+.f64 (+.f64 1 (pow.f64 (atan.f64 (/.f64 y x)) 3)) -1)
(+.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3) 0)
(pow.f64 (atan.f64 (/.f64 y x)) 3)
(*.f64 (atan.f64 (/.f64 y x)) (pow.f64 (atan.f64 (/.f64 y x)) 2))
(+.f64 (+.f64 1 (pow.f64 (atan.f64 (/.f64 y x)) 3)) -1)
(+.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3) 0)
(pow.f64 (atan.f64 (/.f64 y x)) 3)
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3) 1)
(+.f64 (+.f64 1 (pow.f64 (atan.f64 (/.f64 y x)) 3)) -1)
(+.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3) 0)
(pow.f64 (atan.f64 (/.f64 y x)) 3)
(*.f64 1 (pow.f64 (atan.f64 (/.f64 y x)) 3))
(+.f64 (+.f64 1 (pow.f64 (atan.f64 (/.f64 y x)) 3)) -1)
(+.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3) 0)
(pow.f64 (atan.f64 (/.f64 y x)) 3)
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2) (atan.f64 (/.f64 y x)))
(+.f64 (+.f64 1 (pow.f64 (atan.f64 (/.f64 y x)) 3)) -1)
(+.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3) 0)
(pow.f64 (atan.f64 (/.f64 y x)) 3)
(.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2) (.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) (pow.f64 (atan.f64 (/.f64 y x)) 2)))
(+.f64 (+.f64 1 (pow.f64 (atan.f64 (/.f64 y x)) 3)) -1)
(+.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3) 0)
(pow.f64 (atan.f64 (/.f64 y x)) 3)
(.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) (.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) (pow.f64 (atan.f64 (/.f64 y x)) 2)))
(+.f64 (+.f64 1 (pow.f64 (atan.f64 (/.f64 y x)) 3)) -1)
(+.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3) 0)
(pow.f64 (atan.f64 (/.f64 y x)) 3)
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3/2) (pow.f64 (atan.f64 (/.f64 y x)) 3/2))
(+.f64 (+.f64 1 (pow.f64 (atan.f64 (/.f64 y x)) 3)) -1)
(+.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3) 0)
(pow.f64 (atan.f64 (/.f64 y x)) 3)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2) 3) (atan.f64 (/.f64 y x)))
(+.f64 (+.f64 1 (pow.f64 (atan.f64 (/.f64 y x)) 3)) -1)
(+.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3) 0)
(pow.f64 (atan.f64 (/.f64 y x)) 3)
(*.f64 (pow.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) 3) (pow.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) 3))
(+.f64 (+.f64 1 (pow.f64 (atan.f64 (/.f64 y x)) 3)) -1)
(+.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3) 0)
(pow.f64 (atan.f64 (/.f64 y x)) 3)
(.f64 (.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2) 1) (atan.f64 (/.f64 y x)))
(+.f64 (+.f64 1 (pow.f64 (atan.f64 (/.f64 y x)) 3)) -1)
(+.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3) 0)
(pow.f64 (atan.f64 (/.f64 y x)) 3)
(.f64 (.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2)) (cbrt.f64 (atan.f64 (/.f64 y x))))
(+.f64 (+.f64 1 (pow.f64 (atan.f64 (/.f64 y x)) 3)) -1)
(+.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3) 0)
(pow.f64 (atan.f64 (/.f64 y x)) 3)
(.f64 (.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2) (sqrt.f64 (atan.f64 (/.f64 y x)))) (sqrt.f64 (atan.f64 (/.f64 y x))))
(+.f64 (+.f64 1 (pow.f64 (atan.f64 (/.f64 y x)) 3)) -1)
(+.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3) 0)
(pow.f64 (atan.f64 (/.f64 y x)) 3)
(sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 6))
(+.f64 (+.f64 1 (pow.f64 (atan.f64 (/.f64 y x)) 3)) -1)
(+.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3) 0)
(pow.f64 (atan.f64 (/.f64 y x)) 3)
(log.f64 (exp.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3)))
(+.f64 (+.f64 1 (pow.f64 (atan.f64 (/.f64 y x)) 3)) -1)
(+.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3) 0)
(pow.f64 (atan.f64 (/.f64 y x)) 3)
(cbrt.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3) 3))
(+.f64 (+.f64 1 (pow.f64 (atan.f64 (/.f64 y x)) 3)) -1)
(+.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3) 0)
(pow.f64 (atan.f64 (/.f64 y x)) 3)
(expm1.f64 (log1p.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3)))
(+.f64 (+.f64 1 (pow.f64 (atan.f64 (/.f64 y x)) 3)) -1)
(+.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3) 0)
(pow.f64 (atan.f64 (/.f64 y x)) 3)
(log1p.f64 (expm1.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3)))
(+.f64 (+.f64 1 (pow.f64 (atan.f64 (/.f64 y x)) 3)) -1)
(+.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3) 0)
(pow.f64 (atan.f64 (/.f64 y x)) 3)
(exp.f64 (*.f64 3 (log.f64 (atan.f64 (/.f64 y x)))))
(+.f64 (+.f64 1 (pow.f64 (atan.f64 (/.f64 y x)) 3)) -1)
(+.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3) 0)
(pow.f64 (atan.f64 (/.f64 y x)) 3)

localize9.0ms (0.7%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(atan.f64 (/.f64 y x))
✓	0.3b	(pow.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) 2)
✓	9.0b	(sqrt.f64 (atan.f64 (/.f64 y x)))

Compiler

Compiled 24 to 8 computations (66.7% saved)

series5.0ms (0.4%)

Counts

2 → 24

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	(sqrt.f64 (atan.f64 (/.f64 y x)))
1.0ms	y	@	inf	(pow.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) 2)
0.0ms	y	@	-inf	(pow.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) 2)
0.0ms	y	@	0	(pow.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) 2)
0.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) 2)

rewrite42.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

693×	`pow1_binary64`
642×	`add-log-exp_binary64`
642×	`log1p-expm1-u_binary64`
642×	`expm1-log1p-u_binary64`
626×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	168	14
2	1773	14

Stop Event

1×	node limit

Counts

2 → 37

Calls

Call 1

Inputs
(sqrt.f64 (atan.f64 (/.f64 y x)))
(pow.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) 2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (atan.f64 (/.f64 y x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (atan.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) (cbrt.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) (cbrt.f64 (atan.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/4) (pow.f64 (atan.f64 (/.f64 y x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2)) (sqrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (atan.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2) 1/2) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (/.f64 y x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (atan.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (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 (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 1 (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 (cbrt.f64 (atan.f64 (/.f64 y x))) (*.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) (sqrt.f64 (atan.f64 (/.f64 y x)))))))) (#(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 (pow.f64 (atan.f64 (/.f64 y x)) 1/4) (*.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/4) (sqrt.f64 (atan.f64 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) (pow.f64 (atan.f64 (/.f64 y x)) 1/4)) (pow.f64 (atan.f64 (/.f64 y x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) (cbrt.f64 (atan.f64 (/.f64 y x)))) (cbrt.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))))) (#(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 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 log1p.f64 (expm1.f64 (atan.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan.f64 (/.f64 y x))))))))

simplify48.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

512×	`exp-sum_binary64`
371×	`unswap-sqr_binary64`
343×	`fma-def_binary64`
321×	`log-prod_binary64`
316×	`exp-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	75	526
1	140	466
2	502	406
3	2341	406
4	5983	406

Stop Event

1×	node limit

Counts

61 → 40

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 (+.f64 1 (sqrt.f64 (atan.f64 (/.f64 y x)))) 1)
(*.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) 1)
(*.f64 1 (sqrt.f64 (atan.f64 (/.f64 y x))))
(*.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) (cbrt.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) (cbrt.f64 (atan.f64 (/.f64 y x))))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/4) (pow.f64 (atan.f64 (/.f64 y x)) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2)) (sqrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (atan.f64 (/.f64 y x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2) 1/2) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 1/2))
(pow.f64 (atan.f64 (/.f64 y x)) 1/2)
(pow.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) 1)
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3/2) 1/3)
(pow.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) 3)
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/4) 2)
(fabs.f64 (sqrt.f64 (atan.f64 (/.f64 y x))))
(log.f64 (exp.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))
(cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))
(exp.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))
(-.f64 (+.f64 1 (atan.f64 (/.f64 y x))) 1)
(*.f64 (atan.f64 (/.f64 y x)) 1)
(*.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) (sqrt.f64 (atan.f64 (/.f64 y x))))
(*.f64 1 (atan.f64 (/.f64 y x)))
(*.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2))
(.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) (.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) (sqrt.f64 (atan.f64 (/.f64 y x)))))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2) (cbrt.f64 (atan.f64 (/.f64 y x))))
(.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/4) (.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/4) (sqrt.f64 (atan.f64 (/.f64 y x)))))
(.f64 (.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) (pow.f64 (atan.f64 (/.f64 y x)) 1/4)) (pow.f64 (atan.f64 (/.f64 y x)) 1/4))
(.f64 (.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) (cbrt.f64 (atan.f64 (/.f64 y x)))) (cbrt.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))
(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))
(atan.f64 (/.f64 y x))
(expm1.f64 (log1p.f64 (atan.f64 (/.f64 y x))))
(log1p.f64 (expm1.f64 (atan.f64 (/.f64 y x))))
(exp.f64 (log.f64 (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 (+.f64 1 (sqrt.f64 (atan.f64 (/.f64 y x)))) 1)
(+.f64 (+.f64 1 (sqrt.f64 (atan.f64 (/.f64 y x)))) -1)
(+.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) 0)
(sqrt.f64 (atan.f64 (/.f64 y x)))
(*.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) 1)
(+.f64 (+.f64 1 (sqrt.f64 (atan.f64 (/.f64 y x)))) -1)
(+.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) 0)
(sqrt.f64 (atan.f64 (/.f64 y x)))
(*.f64 1 (sqrt.f64 (atan.f64 (/.f64 y x))))
(+.f64 (+.f64 1 (sqrt.f64 (atan.f64 (/.f64 y x)))) -1)
(+.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) 0)
(sqrt.f64 (atan.f64 (/.f64 y x)))
(*.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) (cbrt.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))
(+.f64 (+.f64 1 (sqrt.f64 (atan.f64 (/.f64 y x)))) -1)
(+.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) 0)
(sqrt.f64 (atan.f64 (/.f64 y x)))
(*.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) (cbrt.f64 (atan.f64 (/.f64 y x))))
(+.f64 (+.f64 1 (sqrt.f64 (atan.f64 (/.f64 y x)))) -1)
(+.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) 0)
(sqrt.f64 (atan.f64 (/.f64 y x)))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/4) (pow.f64 (atan.f64 (/.f64 y x)) 1/4))
(+.f64 (+.f64 1 (sqrt.f64 (atan.f64 (/.f64 y x)))) -1)
(+.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) 0)
(sqrt.f64 (atan.f64 (/.f64 y x)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2)) (sqrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(+.f64 (+.f64 1 (sqrt.f64 (atan.f64 (/.f64 y x)))) -1)
(+.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) 0)
(sqrt.f64 (atan.f64 (/.f64 y x)))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (atan.f64 (/.f64 y x))))
(+.f64 (+.f64 1 (sqrt.f64 (atan.f64 (/.f64 y x)))) -1)
(+.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) 0)
(sqrt.f64 (atan.f64 (/.f64 y x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2) 1/2) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 1/2))
(+.f64 (+.f64 1 (sqrt.f64 (atan.f64 (/.f64 y x)))) -1)
(+.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) 0)
(sqrt.f64 (atan.f64 (/.f64 y x)))
(pow.f64 (atan.f64 (/.f64 y x)) 1/2)
(+.f64 (+.f64 1 (sqrt.f64 (atan.f64 (/.f64 y x)))) -1)
(+.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) 0)
(sqrt.f64 (atan.f64 (/.f64 y x)))
(pow.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) 1)
(+.f64 (+.f64 1 (sqrt.f64 (atan.f64 (/.f64 y x)))) -1)
(+.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) 0)
(sqrt.f64 (atan.f64 (/.f64 y x)))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3/2) 1/3)
(+.f64 (+.f64 1 (sqrt.f64 (atan.f64 (/.f64 y x)))) -1)
(+.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) 0)
(sqrt.f64 (atan.f64 (/.f64 y x)))
(pow.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) 3)
(+.f64 (+.f64 1 (sqrt.f64 (atan.f64 (/.f64 y x)))) -1)
(+.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) 0)
(sqrt.f64 (atan.f64 (/.f64 y x)))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/4) 2)
(+.f64 (+.f64 1 (sqrt.f64 (atan.f64 (/.f64 y x)))) -1)
(+.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) 0)
(sqrt.f64 (atan.f64 (/.f64 y x)))
(fabs.f64 (sqrt.f64 (atan.f64 (/.f64 y x))))
(+.f64 (+.f64 1 (sqrt.f64 (atan.f64 (/.f64 y x)))) -1)
(+.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) 0)
(sqrt.f64 (atan.f64 (/.f64 y x)))
(log.f64 (exp.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))
(+.f64 (+.f64 1 (sqrt.f64 (atan.f64 (/.f64 y x)))) -1)
(+.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) 0)
(sqrt.f64 (atan.f64 (/.f64 y x)))
(cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3/2))
(+.f64 (+.f64 1 (sqrt.f64 (atan.f64 (/.f64 y x)))) -1)
(+.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) 0)
(sqrt.f64 (atan.f64 (/.f64 y x)))
(expm1.f64 (log1p.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))
(+.f64 (+.f64 1 (sqrt.f64 (atan.f64 (/.f64 y x)))) -1)
(+.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) 0)
(sqrt.f64 (atan.f64 (/.f64 y x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))
(+.f64 (+.f64 1 (sqrt.f64 (atan.f64 (/.f64 y x)))) -1)
(+.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) 0)
(sqrt.f64 (atan.f64 (/.f64 y x)))
(exp.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))
(+.f64 (+.f64 1 (sqrt.f64 (atan.f64 (/.f64 y x)))) -1)
(+.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) 0)
(sqrt.f64 (atan.f64 (/.f64 y x)))
(-.f64 (+.f64 1 (atan.f64 (/.f64 y x))) 1)
(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 1 (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 (cbrt.f64 (atan.f64 (/.f64 y x))) (.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) (sqrt.f64 (atan.f64 (/.f64 y x)))))
(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 (pow.f64 (atan.f64 (/.f64 y x)) 1/4) (.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/4) (sqrt.f64 (atan.f64 (/.f64 y x)))))
(atan.f64 (/.f64 y x))
(.f64 (.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) (pow.f64 (atan.f64 (/.f64 y x)) 1/4)) (pow.f64 (atan.f64 (/.f64 y x)) 1/4))
(atan.f64 (/.f64 y x))
(.f64 (.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) (cbrt.f64 (atan.f64 (/.f64 y x)))) (cbrt.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))
(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))
(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))
(log1p.f64 (expm1.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))

eval20.0ms (1.7%)

Compiler: Compiled 1263 to 513 computations (59.4% saved)

prune14.0ms (1.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	120	3	123

Error

0.0b

Counts

123 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	26.6b	(pow.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) 2)
✓	14.2b	(cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3))
✓	0.0b	(atan.f64 (/.f64 y x))

Compiler

Compiled 24 to 18 computations (25% saved)

regimes14.0ms (1.1%)

Accuracy

Total -33.2b remaining (-283621.8%)

Threshold costs -33.2b (-283621.8%)

Counts

3 → 1

Calls

Call 1

Inputs
(atan.f64 (/.f64 y x))
(cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3))
(pow.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) 2)

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

Calls

4 calls:

4.0ms	(/.f64 y x)
3.0ms	y
3.0ms	x
2.0ms	(atan.f64 (/.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 37 to 21 computations (43.2% saved)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6

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 (0.9%)

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

Details

analyze11.0ms (0.9%)

sample811.0ms (66.8%)

preprocess16.0ms (1.3%)

simplify6.0ms (0.5%)

eval0.0ms (0%)

prune1.0ms (0.1%)

localize7.0ms (0.5%)

series2.0ms (0.1%)

rewrite37.0ms (3.1%)

simplify45.0ms (3.7%)

eval3.0ms (0.2%)

prune3.0ms (0.3%)

localize9.0ms (0.7%)

series8.0ms (0.7%)

rewrite43.0ms (3.5%)

simplify47.0ms (3.8%)

localize9.0ms (0.7%)

series5.0ms (0.4%)

rewrite42.0ms (3.5%)

simplify48.0ms (3.9%)

eval20.0ms (1.7%)

prune14.0ms (1.1%)

regimes14.0ms (1.1%)

simplify3.0ms (0.2%)

soundness0.0ms (0%)

end11.0ms (0.9%)

Profiling