Metrics for bug329 (missed optimization)

analyze9.0ms (0.7%)

Algorithm

1×

Search

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

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample829.0ms (60%)

Results

817.0ms

8256×

body

256

valid

Bogosity

preprocess46.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

40×	`fma-def`
40×	`sub-neg`
28×	`+-commutative`
20×	`div-sub`
12×	`*-commutative`

Problems

256×

No Errors

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	143
1	31	143
2	46	143
3	59	143
4	78	143
5	99	143
6	124	143
7	151	143
8	155	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)

prune3.0ms (0.2%)

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)

localize21.0ms (1.5%)

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))

rewrite99.0ms (7.2%)

Algorithm

1×	batch-egg-rewrite

Rules

610×	`unpow-prod-down`
452×	`log-prod`
450×	`cbrt-prod`
420×	`log1p-expm1-u`
420×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	90	17
2	1118	17

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

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

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

simplify40.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

814×	`log-prod`
772×	`associate-r`
668×	`associate-l`
656×	`*-commutative`
646×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	101	932
1	202	866
2	576	854
3	3527	854

Stop Event

1×	node limit

Counts

36 → 42

Calls

Call 1

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

Outputs
(+.f64 0 (atan.f64 (/.f64 y x)))
(atan.f64 (/.f64 y x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (/.f64 y x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (/.f64 y x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (/.f64 y x)))))) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (/.f64 y x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (/.f64 y x))))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (/.f64 y x))))) 3)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (/.f64 y x))))) (log.f64 (sqrt.f64 (exp.f64 (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 (atan.f64 (/.f64 y x)) (log.f64 (E.f64)))
(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 (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 1 1/3) (atan.f64 (/.f64 y x)))
(atan.f64 (/.f64 y x))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) 3))
(atan.f64 (/.f64 y x))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3)) 1/3))
(atan.f64 (/.f64 y x))
(.f64 (pow.f64 (pow.f64 (.f64 (atan.f64 (/.f64 y x)) (cbrt.f64 (atan.f64 (/.f64 y x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (atan.f64 (/.f64 y x)) (cbrt.f64 (atan.f64 (/.f64 y x)))) 2)) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 4) 2)) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 8)) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(*.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))
(*.f64 (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 5/2)) (cbrt.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3))))
(atan.f64 (/.f64 y x))
(.f64 (cbrt.f64 (pow.f64 (.f64 (atan.f64 (/.f64 y x)) (cbrt.f64 (atan.f64 (/.f64 y x)))) 2)) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 4) 2)) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 8)) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(*.f64 (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 5/2)) (cbrt.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))
(pow.f64 (atan.f64 (/.f64 y x)) 1)
(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))
(pow.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) 2)
(atan.f64 (/.f64 y x))
(pow.f64 (E.f64) (log.f64 (atan.f64 (/.f64 y x))))
(atan.f64 (/.f64 y x))
(pow.f64 (exp.f64 (cbrt.f64 (pow.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)))))
(atan.f64 (/.f64 y x))
(neg.f64 (atan.f64 (/.f64 y (neg.f64 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))
(expm1.f64 (log1p.f64 (atan.f64 (/.f64 y x))))
(atan.f64 (/.f64 y x))
(exp.f64 (log.f64 (atan.f64 (/.f64 y x))))
(atan.f64 (/.f64 y x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) 3))
(atan.f64 (/.f64 y x))
(exp.f64 (.f64 (.f64 3 (log.f64 (atan.f64 (/.f64 y x)))) 1/3))
(atan.f64 (/.f64 y x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) 2))
(atan.f64 (/.f64 y x))
(log1p.f64 (expm1.f64 (atan.f64 (/.f64 y x))))
(atan.f64 (/.f64 y x))

eval7.0ms (0.5%)

Compiler: Compiled 451 to 158 computations (65% saved)

prune6.0ms (0.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	41	1	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	41	2	43

Accuracy

100.0%

Counts

43 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	58.0%	(pow.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) 2)
✓	100.0%	(atan.f64 (/.f64 y x))
▶	58.0%	(pow.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) 2)
✓	100.0%	(atan.f64 (/.f64 y x))

Compiler

Compiled 30 to 22 computations (26.7% saved)

localize34.0ms (2.4%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
	100.0%	(atan.f64 (/.f64 y x))
✓	99.4%	(pow.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) 2)
✓	94.4%	(sqrt.f64 (atan.f64 (/.f64 y x)))

Compiler

Compiled 25 to 9 computations (64% saved)

series3.0ms (0.3%)

Counts

2 → 24

Calls

12 calls:

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

rewrite60.0ms (4.4%)

Algorithm

1×	batch-egg-rewrite

Rules

774×	`unpow-prod-down`
530×	`log-prod`
482×	`log1p-expm1-u`
482×	`expm1-log1p-u`
454×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	38
1	132	38
2	1363	38

Stop Event

1×	node limit

Counts

2 → 71

Calls

Call 1

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

Outputs
(+.f64 0 (sqrt.f64 (atan.f64 (/.f64 y x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (atan.f64 (/.f64 y x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))) (log.f64 (sqrt.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))) 1)
(*.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) (log.f64 (E.f64)))
(*.f64 1 (sqrt.f64 (atan.f64 (/.f64 y x))))
(*.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) (pow.f64 (atan.f64 (/.f64 y x)) 1/6))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/6) (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 (cbrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2)) (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 5/6) 1/3))
(*.f64 (sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/4)) (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3/4) 1/2))
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (atan.f64 (/.f64 y x))))
(*.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3/4) 1/2) (sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/4)))
(*.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 5/6) 1/2) (sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/6)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/6)) 2) 3) (pow.f64 (atan.f64 (/.f64 y x)) 1/6))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/6)) 3) (pow.f64 (sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/6)) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 4) 1/3) (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/6)))
(*.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 5/4) 1/3) (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/4)))
(pow.f64 (atan.f64 (/.f64 y x)) 1/2)
(pow.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) 1)
(pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 3/2)
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/6) 3)
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2) 1/4)
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3) 1/6)
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3/2) 1/3)
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/4) 2)
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))
(pow.f64 (exp.f64 1/2) (log.f64 (atan.f64 (/.f64 y x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x))))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))) (sqrt.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x))))))
(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)))))
(exp.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/6)) 3))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (atan.f64 (/.f64 y x)))) 1/3))
(exp.f64 (.f64 (.f64 1/4 (log.f64 (atan.f64 (/.f64 y x)))) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))
(+.f64 0 (atan.f64 (/.f64 y x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (/.f64 y x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (/.f64 y x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (/.f64 y x))))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (/.f64 y x))))))
(-.f64 (+.f64 1 (atan.f64 (/.f64 y x))) 1)
(*.f64 (atan.f64 (/.f64 y x)) 1)
(*.f64 (atan.f64 (/.f64 y x)) (log.f64 (E.f64)))
(*.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))) (pow.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 4) 1/2))
(*.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) (pow.f64 (atan.f64 (/.f64 y x)) 3/4))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3/4) (pow.f64 (atan.f64 (/.f64 y x)) 1/4))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) 5/6) (pow.f64 (atan.f64 (/.f64 y x)) 1/6))
(*.f64 (pow.f64 1 1/3) (atan.f64 (/.f64 y x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) 2) 3) (cbrt.f64 (atan.f64 (/.f64 y x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 4) 1/2) (cbrt.f64 (atan.f64 (/.f64 y x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 5) 1/2) (pow.f64 (atan.f64 (/.f64 y x)) 1/6))
(*.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 5/2) 1/3) (pow.f64 (atan.f64 (/.f64 y x)) 1/6))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 4) 2) 1/3) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(neg.f64 (atan.f64 (/.f64 y (neg.f64 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))))
(exp.f64 (log.f64 (atan.f64 (/.f64 y x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) 3))
(exp.f64 (.f64 (.f64 2 (log.f64 (atan.f64 (/.f64 y x)))) 1/2))
(exp.f64 (.f64 (.f64 3 (log.f64 (atan.f64 (/.f64 y x)))) 1/3))
(log1p.f64 (expm1.f64 (atan.f64 (/.f64 y x))))

simplify63.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

1216×	`log-prod`
1038×	`associate-r`
938×	`associate-l`
922×	`exp-prod`
804×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	176	2415
1	382	2337
2	923	2313
3	4662	2313

Stop Event

1×	node limit

Counts

95 → 89

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 0 (sqrt.f64 (atan.f64 (/.f64 y x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (atan.f64 (/.f64 y x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))) (log.f64 (sqrt.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))) 1)
(*.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) (log.f64 (E.f64)))
(*.f64 1 (sqrt.f64 (atan.f64 (/.f64 y x))))
(*.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) (pow.f64 (atan.f64 (/.f64 y x)) 1/6))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/6) (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 (cbrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2)) (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 5/6) 1/3))
(*.f64 (sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/4)) (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3/4) 1/2))
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (atan.f64 (/.f64 y x))))
(*.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3/4) 1/2) (sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/4)))
(*.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 5/6) 1/2) (sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/6)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/6)) 2) 3) (pow.f64 (atan.f64 (/.f64 y x)) 1/6))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/6)) 3) (pow.f64 (sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/6)) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 4) 1/3) (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/6)))
(*.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 5/4) 1/3) (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/4)))
(pow.f64 (atan.f64 (/.f64 y x)) 1/2)
(pow.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) 1)
(pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 3/2)
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/6) 3)
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2) 1/4)
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3) 1/6)
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3/2) 1/3)
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/4) 2)
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))
(pow.f64 (exp.f64 1/2) (log.f64 (atan.f64 (/.f64 y x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x))))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))) (sqrt.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x))))))
(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)))))
(exp.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/6)) 3))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (atan.f64 (/.f64 y x)))) 1/3))
(exp.f64 (.f64 (.f64 1/4 (log.f64 (atan.f64 (/.f64 y x)))) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))
(+.f64 0 (atan.f64 (/.f64 y x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (/.f64 y x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (/.f64 y x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (/.f64 y x))))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (/.f64 y x))))))
(-.f64 (+.f64 1 (atan.f64 (/.f64 y x))) 1)
(*.f64 (atan.f64 (/.f64 y x)) 1)
(*.f64 (atan.f64 (/.f64 y x)) (log.f64 (E.f64)))
(*.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))) (pow.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 4) 1/2))
(*.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) (pow.f64 (atan.f64 (/.f64 y x)) 3/4))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3/4) (pow.f64 (atan.f64 (/.f64 y x)) 1/4))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) 5/6) (pow.f64 (atan.f64 (/.f64 y x)) 1/6))
(*.f64 (pow.f64 1 1/3) (atan.f64 (/.f64 y x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) 2) 3) (cbrt.f64 (atan.f64 (/.f64 y x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 4) 1/2) (cbrt.f64 (atan.f64 (/.f64 y x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 5) 1/2) (pow.f64 (atan.f64 (/.f64 y x)) 1/6))
(*.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 5/2) 1/3) (pow.f64 (atan.f64 (/.f64 y x)) 1/6))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 4) 2) 1/3) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(neg.f64 (atan.f64 (/.f64 y (neg.f64 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))))
(exp.f64 (log.f64 (atan.f64 (/.f64 y x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) 3))
(exp.f64 (.f64 (.f64 2 (log.f64 (atan.f64 (/.f64 y x)))) 1/2))
(exp.f64 (.f64 (.f64 3 (log.f64 (atan.f64 (/.f64 y x)))) 1/3))
(log1p.f64 (expm1.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 0 (sqrt.f64 (atan.f64 (/.f64 y x))))
(sqrt.f64 (atan.f64 (/.f64 y x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (atan.f64 (/.f64 y x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (atan.f64 (/.f64 y x))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))) 3)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))))
(sqrt.f64 (atan.f64 (/.f64 y x)))
(-.f64 (+.f64 1 (sqrt.f64 (atan.f64 (/.f64 y x)))) 1)
(sqrt.f64 (atan.f64 (/.f64 y x)))
(*.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) 1)
(sqrt.f64 (atan.f64 (/.f64 y x)))
(*.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) (log.f64 (E.f64)))
(sqrt.f64 (atan.f64 (/.f64 y x)))
(*.f64 1 (sqrt.f64 (atan.f64 (/.f64 y x))))
(sqrt.f64 (atan.f64 (/.f64 y x)))
(*.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) (pow.f64 (atan.f64 (/.f64 y x)) 1/6))
(sqrt.f64 (atan.f64 (/.f64 y x)))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/6) (cbrt.f64 (atan.f64 (/.f64 y x))))
(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))
(sqrt.f64 (atan.f64 (/.f64 y x)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2)) (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 5/6) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2)) (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 5/6)))
(*.f64 (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 5/6)) (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) 2))
(*.f64 (sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/4)) (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3/4) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/4)) (sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3/4)))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/8) (pow.f64 (atan.f64 (/.f64 y x)) 3/8))
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (atan.f64 (/.f64 y x))))
(sqrt.f64 (atan.f64 (/.f64 y x)))
(*.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3/4) 1/2) (sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/4)))
(*.f64 (sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/4)) (sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3/4)))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/8) (pow.f64 (atan.f64 (/.f64 y x)) 3/8))
(*.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 5/6) 1/2) (sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/6)))
(*.f64 (sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 5/6)) (sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/6)))
(*.f64 (sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 5/6)) (fabs.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/12)))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) 5/12) (pow.f64 (atan.f64 (/.f64 y x)) 1/12))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/6)) 2) 3) (pow.f64 (atan.f64 (/.f64 y x)) 1/6))
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(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/6)) 3) (pow.f64 (sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/6)) 3))
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(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 4) 1/3) (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/6)))
(*.f64 (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/6)) (cbrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 4)))
(*.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 5/4) 1/3) (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/4)))
(*.f64 (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 5/4)) (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/4)))
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(pow.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) 1)
(sqrt.f64 (atan.f64 (/.f64 y x)))
(pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 3/2)
(sqrt.f64 (atan.f64 (/.f64 y x)))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/6) 3)
(sqrt.f64 (atan.f64 (/.f64 y x)))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2) 1/4)
(sqrt.f64 (atan.f64 (/.f64 y x)))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3) 1/6)
(sqrt.f64 (atan.f64 (/.f64 y x)))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3/2) 1/3)
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(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/4) 2)
(sqrt.f64 (atan.f64 (/.f64 y x)))
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))
(sqrt.f64 (atan.f64 (/.f64 y x)))
(pow.f64 (exp.f64 1/2) (log.f64 (atan.f64 (/.f64 y x))))
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(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x))))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))) (sqrt.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x))))))
(fabs.f64 (sqrt.f64 (atan.f64 (/.f64 y x))))
(sqrt.f64 (atan.f64 (/.f64 y x)))
(log.f64 (exp.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))
(sqrt.f64 (atan.f64 (/.f64 y x)))
(cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3/2))
(sqrt.f64 (atan.f64 (/.f64 y x)))
(expm1.f64 (log1p.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))
(sqrt.f64 (atan.f64 (/.f64 y x)))
(exp.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))
(sqrt.f64 (atan.f64 (/.f64 y x)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/6)) 3))
(sqrt.f64 (atan.f64 (/.f64 y x)))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (atan.f64 (/.f64 y x)))) 1/3))
(sqrt.f64 (atan.f64 (/.f64 y x)))
(exp.f64 (.f64 (.f64 1/4 (log.f64 (atan.f64 (/.f64 y x)))) 2))
(sqrt.f64 (atan.f64 (/.f64 y x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))
(sqrt.f64 (atan.f64 (/.f64 y x)))
(+.f64 0 (atan.f64 (/.f64 y x)))
(atan.f64 (/.f64 y x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (/.f64 y x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (/.f64 y x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (/.f64 y x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (/.f64 y x))))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (/.f64 y x))))))
(atan.f64 (/.f64 y x))
(-.f64 (+.f64 1 (atan.f64 (/.f64 y x))) 1)
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(*.f64 (atan.f64 (/.f64 y x)) 1)
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(*.f64 (atan.f64 (/.f64 y x)) (log.f64 (E.f64)))
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(*.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) (sqrt.f64 (atan.f64 (/.f64 y x))))
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(*.f64 1 (atan.f64 (/.f64 y x)))
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(*.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2))
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(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2) (cbrt.f64 (atan.f64 (/.f64 y x))))
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(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3/4) (pow.f64 (atan.f64 (/.f64 y x)) 1/4))
(*.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)) 5/6) (pow.f64 (atan.f64 (/.f64 y x)) 1/6))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/6) (pow.f64 (atan.f64 (/.f64 y x)) 5/6))
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(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) 2) 3) (cbrt.f64 (atan.f64 (/.f64 y x))))
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(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 4) 1/2) (cbrt.f64 (atan.f64 (/.f64 y x))))
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(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 5) 1/2) (pow.f64 (atan.f64 (/.f64 y x)) 1/6))
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(*.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 5/2) 1/3) (pow.f64 (atan.f64 (/.f64 y x)) 1/6))
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(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 4) 2) 1/3) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(*.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 8)))
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(sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2))
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(cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3))
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(expm1.f64 (log1p.f64 (atan.f64 (/.f64 y x))))
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(exp.f64 (log.f64 (atan.f64 (/.f64 y x))))
(atan.f64 (/.f64 y x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) 3))
(atan.f64 (/.f64 y x))
(exp.f64 (.f64 (.f64 2 (log.f64 (atan.f64 (/.f64 y x)))) 1/2))
(atan.f64 (/.f64 y x))
(exp.f64 (.f64 (.f64 3 (log.f64 (atan.f64 (/.f64 y x)))) 1/3))
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(log1p.f64 (expm1.f64 (atan.f64 (/.f64 y x))))
(atan.f64 (/.f64 y x))

eval27.0ms (2%)

Compiler: Compiled 1686 to 740 computations (56.1% saved)

prune16.0ms (1.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	131	2	133

Accuracy

100.0%

Counts

133 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	58.0%	(pow.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) 2)
✓	100.0%	(atan.f64 (/.f64 y x))

Compiler

Compiled 28 to 18 computations (35.7% saved)

regimes54.0ms (3.9%)

Accuracy

Total -26.9b remaining (-687400%)

Threshold costs -26.9b (-687400%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

46.0ms	(/.f64 y x)
3.0ms	x
3.0ms	y
2.0ms	(atan.f64 (/.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 30 to 18 computations (40% 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%)

preprocess60.0ms (4.4%)

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

analyze9.0ms (0.7%)

sample829.0ms (60%)

preprocess46.0ms (3.3%)

eval0.0ms (0%)

prune3.0ms (0.2%)

localize21.0ms (1.5%)

series1.0ms (0%)

rewrite99.0ms (7.2%)

simplify40.0ms (2.9%)

eval7.0ms (0.5%)

prune6.0ms (0.4%)

localize34.0ms (2.4%)

series3.0ms (0.3%)

rewrite60.0ms (4.4%)

simplify63.0ms (4.6%)

eval27.0ms (2%)

prune16.0ms (1.2%)

regimes54.0ms (3.9%)

simplify2.0ms (0.1%)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess60.0ms (4.4%)

Profiling