Metrics for bug329 (missed optimization)

analyze7.0ms (0.5%)

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)

sample887.0ms (56.1%)

Results

876.0ms

8256×

body

256

valid

Bogosity

preprocess59.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

16×	`+-commutative`
14×	`sub-neg`
13×	`associate-+l-`
12×	`fma-def`
7×	`*-commutative`

Problems

256×

No Errors

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	143
1	31	143
2	46	143
3	58	143
4	77	143
5	96	143
6	123	143
7	157	143
8	161	143

Stop Event

1×

saturated

Calls

Call 1

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

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

Compiler

Compiled 18 to 9 computations (50% saved)

eval0.0ms (0%)

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

prune1.0ms (0.1%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

localize22.0ms (1.4%)

Localize:

Found 1 expressions with local error:

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

Compiler

Compiled 12 to 5 computations (58.3% saved)

series1.0ms (0%)

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	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))

rewrite150.0ms (9.5%)

Algorithm

1×	batch-egg-rewrite

Rules

640×	`associate-l`
437×	`frac-times`
334×	`*-un-lft-identity`
327×	`add-sqr-sqrt`
305×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	90	17
2	1121	17

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

Outputs
(+.f64 (exp.f64 (log1p.f64 (atan.f64 (/.f64 y x)))) -1)
(-.f64 (exp.f64 (log1p.f64 (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))))
(.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 (pow.f64 (atan.f64 (/.f64 y x)) 1/4) (sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3/2)))
(.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/6) (.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/6) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2)) (.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 4)) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2)) (cbrt.f64 (atan.f64 (/.f64 y x)))))
(*.f64 (sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3/2)) (pow.f64 (atan.f64 (/.f64 y x)) 1/4))
(.f64 (sqrt.f64 (.f64 (atan.f64 (/.f64 y x)) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2))) (pow.f64 (atan.f64 (/.f64 y x)) 1/6))
(*.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/6) 3) (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/6) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) 3))
(.f64 (cbrt.f64 (.f64 (atan.f64 (/.f64 y x)) (pow.f64 (atan.f64 (/.f64 y x)) 3/2))) (pow.f64 (atan.f64 (/.f64 y x)) 1/6))
(.f64 (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2) (pow.f64 (atan.f64 (/.f64 y x)) 2))) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (atan.f64 (/.f64 y x)))) (exp.f64 (log1p.f64 (atan.f64 (/.f64 y x))))) 1) (+.f64 (exp.f64 (log1p.f64 (atan.f64 (/.f64 y x)))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (atan.f64 (/.f64 y x)))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (atan.f64 (/.f64 y x)))) (exp.f64 (log1p.f64 (atan.f64 (/.f64 y x))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (atan.f64 (/.f64 y x)))) 1))))
(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)) 2) 1/2)
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3) 1/3)
(sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2))
(fabs.f64 (atan.f64 (/.f64 y x)))
(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))
(expm1.f64 (log1p.f64 (atan.f64 (/.f64 y x))))
(exp.f64 (log.f64 (atan.f64 (/.f64 y x))))
(log1p.f64 (expm1.f64 (atan.f64 (/.f64 y x))))

simplify47.0ms (3%)

Algorithm

1×	egg-herbie

Rules

712×	`associate-*r/`
663×	`associate-/l*`
605×	`associate-/r*`
501×	`associate-*l/`
454×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	93	1097
1	211	1055
2	1048	965
3	2634	965

Stop Event

1×	node limit

Counts

33 → 49

Calls

Call 1

Inputs
(+.f64 (exp.f64 (log1p.f64 (atan.f64 (/.f64 y x)))) -1)
(-.f64 (exp.f64 (log1p.f64 (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))))
(.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 (pow.f64 (atan.f64 (/.f64 y x)) 1/4) (sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3/2)))
(.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/6) (.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/6) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2)) (.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 4)) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2)) (cbrt.f64 (atan.f64 (/.f64 y x)))))
(*.f64 (sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3/2)) (pow.f64 (atan.f64 (/.f64 y x)) 1/4))
(.f64 (sqrt.f64 (.f64 (atan.f64 (/.f64 y x)) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2))) (pow.f64 (atan.f64 (/.f64 y x)) 1/6))
(*.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/6) 3) (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/6) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) 3))
(.f64 (cbrt.f64 (.f64 (atan.f64 (/.f64 y x)) (pow.f64 (atan.f64 (/.f64 y x)) 3/2))) (pow.f64 (atan.f64 (/.f64 y x)) 1/6))
(.f64 (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2) (pow.f64 (atan.f64 (/.f64 y x)) 2))) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (atan.f64 (/.f64 y x)))) (exp.f64 (log1p.f64 (atan.f64 (/.f64 y x))))) 1) (+.f64 (exp.f64 (log1p.f64 (atan.f64 (/.f64 y x)))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (atan.f64 (/.f64 y x)))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (atan.f64 (/.f64 y x)))) (exp.f64 (log1p.f64 (atan.f64 (/.f64 y x))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (atan.f64 (/.f64 y x)))) 1))))
(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)) 2) 1/2)
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3) 1/3)
(sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2))
(fabs.f64 (atan.f64 (/.f64 y x)))
(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))
(expm1.f64 (log1p.f64 (atan.f64 (/.f64 y x))))
(exp.f64 (log.f64 (atan.f64 (/.f64 y x))))
(log1p.f64 (expm1.f64 (atan.f64 (/.f64 y x))))

Outputs
(+.f64 (exp.f64 (log1p.f64 (atan.f64 (/.f64 y x)))) -1)
(atan.f64 (/.f64 y x))
(-.f64 (exp.f64 (log1p.f64 (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 (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 (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 (pow.f64 (atan.f64 (/.f64 y x)) 1/4) (sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3/2)))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/4) (pow.f64 (atan.f64 (/.f64 y x)) 3/4))
(.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/6) (.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/6) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2)))
(atan.f64 (/.f64 y x))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2)) (.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2)) (.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) 7))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 4)) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2)) (cbrt.f64 (atan.f64 (/.f64 y x)))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 4)) (.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) (cbrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2))))
(.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 4))))
(*.f64 (sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3/2)) (pow.f64 (atan.f64 (/.f64 y x)) 1/4))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/4) (sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3/2)))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/4) (pow.f64 (atan.f64 (/.f64 y x)) 3/4))
(.f64 (sqrt.f64 (.f64 (atan.f64 (/.f64 y x)) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2))) (pow.f64 (atan.f64 (/.f64 y x)) 1/6))
(.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/6) (sqrt.f64 (.f64 (atan.f64 (/.f64 y x)) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2))))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/6) (sqrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 5)))
(*.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/6) 3) (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/6) 3))
(atan.f64 (/.f64 y x))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) 3))
(atan.f64 (/.f64 y x))
(.f64 (cbrt.f64 (.f64 (atan.f64 (/.f64 y x)) (pow.f64 (atan.f64 (/.f64 y x)) 3/2))) (pow.f64 (atan.f64 (/.f64 y x)) 1/6))
(.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/6) (cbrt.f64 (.f64 (atan.f64 (/.f64 y x)) (pow.f64 (atan.f64 (/.f64 y x)) 3/2))))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/6) (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 5/2)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2) (pow.f64 (atan.f64 (/.f64 y x)) 2))) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2) (pow.f64 (atan.f64 (/.f64 y x)) 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 8)))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (atan.f64 (/.f64 y x)))) (exp.f64 (log1p.f64 (atan.f64 (/.f64 y x))))) 1) (+.f64 (exp.f64 (log1p.f64 (atan.f64 (/.f64 y x)))) 1))
(atan.f64 (/.f64 y x))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (atan.f64 (/.f64 y x)))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (atan.f64 (/.f64 y x)))) (exp.f64 (log1p.f64 (atan.f64 (/.f64 y x))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (atan.f64 (/.f64 y x)))) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (atan.f64 (/.f64 y x)))) 3) -1) (+.f64 (exp.f64 (+.f64 (log1p.f64 (atan.f64 (/.f64 y x))) (log1p.f64 (atan.f64 (/.f64 y x))))) (+.f64 (exp.f64 (log1p.f64 (atan.f64 (/.f64 y x)))) 1)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (atan.f64 (/.f64 y x)))) 3)) (+.f64 (exp.f64 (*.f64 2 (log1p.f64 (atan.f64 (/.f64 y x))))) (+.f64 (exp.f64 (log1p.f64 (atan.f64 (/.f64 y x)))) 1)))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (atan.f64 (/.f64 y x))))) (+.f64 (exp.f64 (log1p.f64 (atan.f64 (/.f64 y x)))) (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (atan.f64 (/.f64 y x)))))))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (atan.f64 (/.f64 y x))) 3)) (+.f64 (exp.f64 (log1p.f64 (atan.f64 (/.f64 y x)))) (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (atan.f64 (/.f64 y x)))))))
(pow.f64 (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)) 2) 1/2)
(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))
(fabs.f64 (atan.f64 (/.f64 y x)))
(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))
(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))
(log1p.f64 (expm1.f64 (atan.f64 (/.f64 y x))))
(atan.f64 (/.f64 y x))

eval10.0ms (0.7%)

Compiler: Compiled 744 to 262 computations (64.8% saved)

prune7.0ms (0.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	48	1	49
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	48	2	50

Accuracy

100.0%

Counts

50 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.3%	(exp.f64 (log.f64 (atan.f64 (/.f64 y x))))
✓	100.0%	(atan.f64 (/.f64 y x))
▶	51.3%	(exp.f64 (log.f64 (atan.f64 (/.f64 y x))))
✓	100.0%	(atan.f64 (/.f64 y x))

Compiler

Compiled 28 to 20 computations (28.6% saved)

localize28.0ms (1.8%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
	100.0%	(atan.f64 (/.f64 y x))
✓	98.6%	(exp.f64 (log.f64 (atan.f64 (/.f64 y x))))
✓	92.9%	(log.f64 (atan.f64 (/.f64 y x)))

Compiler

Compiled 23 to 7 computations (69.6% saved)

series104.0ms (6.6%)

Counts

2 → 24

Calls

12 calls:

Time	Variable		Point	Expression
24.0ms	x	@	-inf	(log.f64 (atan.f64 (/.f64 y x)))
24.0ms	y	@	0	(log.f64 (atan.f64 (/.f64 y x)))
22.0ms	x	@	inf	(log.f64 (atan.f64 (/.f64 y x)))
16.0ms	y	@	inf	(log.f64 (atan.f64 (/.f64 y x)))
12.0ms	y	@	-inf	(log.f64 (atan.f64 (/.f64 y x)))

rewrite84.0ms (5.3%)

Algorithm

1×	batch-egg-rewrite

Rules

440×	`frac-times`
425×	`*-un-lft-identity`
384×	`add-sqr-sqrt`
304×	`associate-/r*`
241×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	38
1	117	38
2	1306	38

Stop Event

1×	node limit

Counts

2 → 76

Calls

Call 1

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

Outputs
(+.f64 (log.f64 (atan.f64 (/.f64 y x))) 0)
(+.f64 0 (log.f64 (atan.f64 (/.f64 y x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2)) (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(+.f64 (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) (log.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2)))
(+.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))
(+.f64 (exp.f64 (log1p.f64 (log.f64 (atan.f64 (/.f64 y x))))) -1)
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2))) (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x))))) (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))
(+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2)) 1) (.f64 (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) 1))
(+.f64 (.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) 1) (.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) 1))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (atan.f64 (/.f64 y x))))) 1)
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (atan.f64 (/.f64 y x)))))) 1)
(*.f64 (log.f64 (atan.f64 (/.f64 y x))) 1)
(*.f64 1 (log.f64 (atan.f64 (/.f64 y x))))
(*.f64 (sqrt.f64 (log.f64 (atan.f64 (/.f64 y x)))) (sqrt.f64 (log.f64 (atan.f64 (/.f64 y x)))))
(*.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x)))) (pow.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x)))) 2) (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x)))))
(*.f64 2 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))
(*.f64 (pow.f64 (log.f64 (atan.f64 (/.f64 y x))) 1/4) (sqrt.f64 (pow.f64 (log.f64 (atan.f64 (/.f64 y x))) 3/2)))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 (atan.f64 (/.f64 y x))) 3/2)) (pow.f64 (log.f64 (atan.f64 (/.f64 y x))) 1/4))
(.f64 (sqrt.f64 (.f64 (log.f64 (atan.f64 (/.f64 y x))) (pow.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x)))) 2))) (pow.f64 (log.f64 (atan.f64 (/.f64 y x))) 1/6))
(*.f64 (pow.f64 (pow.f64 (log.f64 (atan.f64 (/.f64 y x))) 1/6) 3) (pow.f64 (pow.f64 (log.f64 (atan.f64 (/.f64 y x))) 1/6) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x)))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x))))) 3))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 (log.f64 (atan.f64 (/.f64 y x)))) (pow.f64 (log.f64 (atan.f64 (/.f64 y x))) 2))) (pow.f64 (log.f64 (atan.f64 (/.f64 y x))) 1/6))
(.f64 (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x)))) 2) (pow.f64 (log.f64 (atan.f64 (/.f64 y x))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x))))))
(/.f64 (-.f64 0 (pow.f64 (log.f64 (atan.f64 (/.f64 y x))) 2)) (-.f64 0 (log.f64 (atan.f64 (/.f64 y x)))))
(/.f64 (-.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2)) (log.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2))) (.f64 (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))) (-.f64 (log.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2)) (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))))
(/.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x))))) (.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))) (-.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x))))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (log.f64 (atan.f64 (/.f64 y x))))) (exp.f64 (log1p.f64 (log.f64 (atan.f64 (/.f64 y x)))))) 1) (+.f64 (exp.f64 (log1p.f64 (log.f64 (atan.f64 (/.f64 y x))))) 1))
(/.f64 (+.f64 0 (pow.f64 (log.f64 (atan.f64 (/.f64 y x))) 3)) (+.f64 0 (-.f64 (pow.f64 (log.f64 (atan.f64 (/.f64 y x))) 2) (*.f64 0 (log.f64 (atan.f64 (/.f64 y x)))))))
(/.f64 (+.f64 (pow.f64 (log.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2)) 3) (pow.f64 (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) 3)) (+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2)) (log.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2))) (-.f64 (.f64 (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))) (*.f64 (log.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2)) (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))))))
(/.f64 (+.f64 (pow.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) 3) (pow.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) 3)) (+.f64 (.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x))))) (-.f64 (.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x))))) (*.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x))))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (log.f64 (atan.f64 (/.f64 y x))))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (log.f64 (atan.f64 (/.f64 y x))))) (exp.f64 (log1p.f64 (log.f64 (atan.f64 (/.f64 y x)))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (log.f64 (atan.f64 (/.f64 y x))))) 1))))
(pow.f64 (log.f64 (atan.f64 (/.f64 y x))) 1)
(pow.f64 (sqrt.f64 (log.f64 (atan.f64 (/.f64 y x)))) 2)
(pow.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x)))) 3)
(pow.f64 (pow.f64 (log.f64 (atan.f64 (/.f64 y x))) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (atan.f64 (/.f64 y x))) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (atan.f64 (/.f64 y x))) 2))
(fabs.f64 (log.f64 (atan.f64 (/.f64 y x))))
(cbrt.f64 (pow.f64 (log.f64 (atan.f64 (/.f64 y x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (atan.f64 (/.f64 y x)))))
(exp.f64 (log.f64 (log.f64 (atan.f64 (/.f64 y x)))))
(log1p.f64 (+.f64 (atan.f64 (/.f64 y x)) -1))
(+.f64 (exp.f64 (log1p.f64 (atan.f64 (/.f64 y x)))) -1)
(-.f64 (exp.f64 (log1p.f64 (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))))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/4) (sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3/2)))
(*.f64 (sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3/2)) (pow.f64 (atan.f64 (/.f64 y x)) 1/4))
(.f64 (sqrt.f64 (.f64 (atan.f64 (/.f64 y x)) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2))) (pow.f64 (atan.f64 (/.f64 y x)) 1/6))
(*.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/6) 3) (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/6) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) 3))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) (pow.f64 (atan.f64 (/.f64 y x)) 2))) (pow.f64 (atan.f64 (/.f64 y x)) 1/6))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 (atan.f64 (/.f64 y x)) 6) (pow.f64 (atan.f64 (/.f64 y x)) 2)))) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (atan.f64 (/.f64 y x)))) (exp.f64 (log1p.f64 (atan.f64 (/.f64 y x))))) 1) (+.f64 (exp.f64 (log1p.f64 (atan.f64 (/.f64 y x)))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (atan.f64 (/.f64 y x)))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (atan.f64 (/.f64 y x)))) (exp.f64 (log1p.f64 (atan.f64 (/.f64 y x))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (atan.f64 (/.f64 y x)))) 1))))
(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)) 2) 1/2)
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3) 1/3)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x)))) 2)) (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (atan.f64 (/.f64 y x))))) (sqrt.f64 (log.f64 (atan.f64 (/.f64 y x)))))
(pow.f64 (exp.f64 1) (log.f64 (atan.f64 (/.f64 y x))))
(sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2))
(fabs.f64 (atan.f64 (/.f64 y x)))
(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))))
(log1p.f64 (expm1.f64 (atan.f64 (/.f64 y x))))

simplify59.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

165×	`associate-r`
144×	`unswap-sqr`
144×	`associate-l`
69×	`sqr-pow`
68×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	198	2078
1	485	2078
2	2684	2078

Stop Event

1×

unsound

Counts

100 → 79

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 (log.f64 (atan.f64 (/.f64 y x))) 0)
(+.f64 0 (log.f64 (atan.f64 (/.f64 y x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2)) (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(+.f64 (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) (log.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2)))
(+.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))
(+.f64 (exp.f64 (log1p.f64 (log.f64 (atan.f64 (/.f64 y x))))) -1)
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2))) (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x))))) (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))
(+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2)) 1) (.f64 (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) 1))
(+.f64 (.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) 1) (.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) 1))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (atan.f64 (/.f64 y x))))) 1)
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (atan.f64 (/.f64 y x)))))) 1)
(*.f64 (log.f64 (atan.f64 (/.f64 y x))) 1)
(*.f64 1 (log.f64 (atan.f64 (/.f64 y x))))
(*.f64 (sqrt.f64 (log.f64 (atan.f64 (/.f64 y x)))) (sqrt.f64 (log.f64 (atan.f64 (/.f64 y x)))))
(*.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x)))) (pow.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x)))) 2) (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x)))))
(*.f64 2 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))
(*.f64 (pow.f64 (log.f64 (atan.f64 (/.f64 y x))) 1/4) (sqrt.f64 (pow.f64 (log.f64 (atan.f64 (/.f64 y x))) 3/2)))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 (atan.f64 (/.f64 y x))) 3/2)) (pow.f64 (log.f64 (atan.f64 (/.f64 y x))) 1/4))
(.f64 (sqrt.f64 (.f64 (log.f64 (atan.f64 (/.f64 y x))) (pow.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x)))) 2))) (pow.f64 (log.f64 (atan.f64 (/.f64 y x))) 1/6))
(*.f64 (pow.f64 (pow.f64 (log.f64 (atan.f64 (/.f64 y x))) 1/6) 3) (pow.f64 (pow.f64 (log.f64 (atan.f64 (/.f64 y x))) 1/6) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x)))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x))))) 3))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 (log.f64 (atan.f64 (/.f64 y x)))) (pow.f64 (log.f64 (atan.f64 (/.f64 y x))) 2))) (pow.f64 (log.f64 (atan.f64 (/.f64 y x))) 1/6))
(.f64 (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x)))) 2) (pow.f64 (log.f64 (atan.f64 (/.f64 y x))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x))))))
(/.f64 (-.f64 0 (pow.f64 (log.f64 (atan.f64 (/.f64 y x))) 2)) (-.f64 0 (log.f64 (atan.f64 (/.f64 y x)))))
(/.f64 (-.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2)) (log.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2))) (.f64 (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))) (-.f64 (log.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2)) (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))))
(/.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x))))) (.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))) (-.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x))))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (log.f64 (atan.f64 (/.f64 y x))))) (exp.f64 (log1p.f64 (log.f64 (atan.f64 (/.f64 y x)))))) 1) (+.f64 (exp.f64 (log1p.f64 (log.f64 (atan.f64 (/.f64 y x))))) 1))
(/.f64 (+.f64 0 (pow.f64 (log.f64 (atan.f64 (/.f64 y x))) 3)) (+.f64 0 (-.f64 (pow.f64 (log.f64 (atan.f64 (/.f64 y x))) 2) (*.f64 0 (log.f64 (atan.f64 (/.f64 y x)))))))
(/.f64 (+.f64 (pow.f64 (log.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2)) 3) (pow.f64 (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) 3)) (+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2)) (log.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2))) (-.f64 (.f64 (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))) (*.f64 (log.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2)) (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))))))
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Outputs
(atan.f64 (/.f64 y x))
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(atan.f64 (/.f64 y x))
(atan.f64 (/.f64 y x))
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(atan.f64 (/.f64 y x))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2) 1/2)
(atan.f64 (/.f64 y x))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3) 1/3)
(atan.f64 (/.f64 y x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x)))) 2)) (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x)))))
(log.f64 (atan.f64 (/.f64 y x)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (atan.f64 (/.f64 y x))))) (sqrt.f64 (log.f64 (atan.f64 (/.f64 y x)))))
(log.f64 (atan.f64 (/.f64 y x)))
(pow.f64 (exp.f64 1) (log.f64 (atan.f64 (/.f64 y x))))
(log.f64 (atan.f64 (/.f64 y x)))
(sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2))
(atan.f64 (/.f64 y x))
(fabs.f64 (atan.f64 (/.f64 y x)))
(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))
(log1p.f64 (expm1.f64 (atan.f64 (/.f64 y x))))
(atan.f64 (/.f64 y x))

eval25.0ms (1.6%)

Compiler: Compiled 2089 to 750 computations (64.1% saved)

prune44.0ms (2.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	128	2	130

Accuracy

100.0%

Counts

130 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.3%	(exp.f64 (log.f64 (atan.f64 (/.f64 y x))))
✓	100.0%	(atan.f64 (/.f64 y x))

Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes20.0ms (1.3%)

Accuracy

Total -31.2b remaining (-797447.6%)

Threshold costs -31.2b (-797447.6%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

11.0ms	(atan.f64 (/.f64 y x))
3.0ms	y
3.0ms	x
3.0ms	(/.f64 y x)

Results

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

Compiler

Compiled 29 to 17 computations (41.4% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	17

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%)

end0.0ms (0%)

preprocess26.0ms (1.6%)

Compiler: Compiled 34 to 22 computations (35.3% saved)

analyze7.0ms (0.5%)

sample887.0ms (56.1%)

preprocess59.0ms (3.7%)

eval0.0ms (0%)

prune1.0ms (0.1%)

localize22.0ms (1.4%)

series1.0ms (0%)

rewrite150.0ms (9.5%)

simplify47.0ms (3%)

eval10.0ms (0.7%)

prune7.0ms (0.4%)

localize28.0ms (1.8%)

series104.0ms (6.6%)

rewrite84.0ms (5.3%)

simplify59.0ms (3.7%)

eval25.0ms (1.6%)

prune44.0ms (2.8%)

regimes20.0ms (1.3%)

simplify2.0ms (0.1%)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess26.0ms (1.6%)

Profiling