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)

sample785.0ms (60.6%)

Results

773.0ms

8256×

body

256

valid

Bogosity

preprocess18.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

32×	`fma-def`
28×	`sub-neg`
20×	`+-commutative`
20×	`div-sub`
8×	`fma-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	52
1	22	52
2	33	52
3	44	52
4	55	52
5	70	52
6	91	52
7	118	52
8	122	52

Stop Event

1×

saturated

Calls

Call 1

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

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

Compiler

Compiled 8 to 6 computations (25% saved)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0.1%)

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

Accurracy

100.0%

Counts

2 → 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)

localize21.0ms (1.6%)

Local Accuracy

Found 1 expressions with local accuracy:

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	@	inf	(atan.f64 (/.f64 y x))
0.0ms	y	@	0	(atan.f64 (/.f64 y x))
0.0ms	y	@	-inf	(atan.f64 (/.f64 y x))
0.0ms	x	@	-inf	(atan.f64 (/.f64 y x))
0.0ms	x	@	inf	(atan.f64 (/.f64 y x))

rewrite50.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1442×	`pow1`
1320×	`add-exp-log`
1320×	`log1p-expm1-u`
1320×	`expm1-log1p-u`
1288×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	141	11
2	1776	11

Stop Event

1×	node limit

Counts

1 → 16

Calls

Call 1

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

Outputs
(-.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 (cbrt.f64 (atan.f64 (/.f64 y x))) 3)
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3) 1/3)
(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))))
(exp.f64 (log.f64 (atan.f64 (/.f64 y x))))
(log1p.f64 (expm1.f64 (atan.f64 (/.f64 y x))))

simplify70.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

1082×	`log-prod`
796×	`fma-neg`
742×	`exp-prod`
612×	`fma-def`
524×	`sqr-pow`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	368
1	69	272
2	274	176
3	1673	176
4	3893	176
5	5750	176

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

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

eval3.0ms (0.2%)

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

prune4.0ms (0.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	18	1	19
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	18	2	20

Accurracy

100.0%

Counts

20 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	47.7%	(exp.f64 (log.f64 (atan.f64 (/.f64 y x))))
✓	100.0%	(atan.f64 (/.f64 y x))
▶	47.7%	(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 (2.1%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(atan.f64 (/.f64 y x))
✓	98.5%	(exp.f64 (log.f64 (atan.f64 (/.f64 y x))))
✓	91.9%	(log.f64 (atan.f64 (/.f64 y x)))

Compiler

Compiled 23 to 7 computations (69.6% saved)

series137.0ms (10.6%)

Counts

2 → 24

Calls

12 calls:

Time	Variable		Point	Expression
54.0ms	y	@	0	(log.f64 (atan.f64 (/.f64 y x)))
26.0ms	x	@	-inf	(log.f64 (atan.f64 (/.f64 y x)))
19.0ms	y	@	inf	(log.f64 (atan.f64 (/.f64 y x)))
18.0ms	y	@	-inf	(log.f64 (atan.f64 (/.f64 y x)))
13.0ms	x	@	inf	(log.f64 (atan.f64 (/.f64 y x)))

rewrite63.0ms (4.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1580×	`pow1`
1444×	`add-exp-log`
1444×	`log1p-expm1-u`
1444×	`expm1-log1p-u`
1406×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	164	26
2	1962	26

Stop Event

1×	node limit

Counts

2 → 38

Calls

Call 1

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

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

simplify48.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

1040×	`log-prod`
876×	`associate-r`
784×	`associate-l`
622×	`associate-+l+`
610×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	74	1456
1	140	844
2	566	844
3	4055	844

Stop Event

1×	node limit

Counts

62 → 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 (log.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2)) (log.f64 (cbrt.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 0 (log.f64 (atan.f64 (/.f64 y x))))
(-.f64 (+.f64 1 (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 (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 (sqrt.f64 (log.f64 (atan.f64 (/.f64 y x)))) (sqrt.f64 (log.f64 (atan.f64 (/.f64 y x)))))
(pow.f64 (log.f64 (atan.f64 (/.f64 y x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x)))) 3)
(pow.f64 (pow.f64 (log.f64 (atan.f64 (/.f64 y x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (atan.f64 (/.f64 y x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (atan.f64 (/.f64 y x))) 2))
(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 1 (-.f64 (atan.f64 (/.f64 y x)) 1))
(-.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 (cbrt.f64 (atan.f64 (/.f64 y x))) 3)
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3) 1/3)
(pow.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) 2)
(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))))
(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)))))
(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))))

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

eval8.0ms (0.6%)

Compiler: Compiled 549 to 199 computations (63.8% saved)

prune9.0ms (0.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	59	2	61

Accurracy

100.0%

Counts

61 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	47.7%	(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)

regimes11.0ms (0.8%)

Accuracy

Total -33.5b remaining (-428355.6%)

Threshold costs -33.5b (-428355.6%)

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:

3.0ms	x
3.0ms	y
2.0ms	(/.f64 y x)
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 29 to 17 computations (41.4% saved)

simplify3.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess27.0ms (2.1%)

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

analyze7.0ms (0.5%)

sample785.0ms (60.6%)

preprocess18.0ms (1.4%)

simplify3.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0.1%)

localize21.0ms (1.6%)

series1.0ms (0%)

rewrite50.0ms (3.9%)

simplify70.0ms (5.4%)

eval3.0ms (0.2%)

prune4.0ms (0.3%)

localize28.0ms (2.1%)

series137.0ms (10.6%)

rewrite63.0ms (4.9%)

simplify48.0ms (3.7%)

eval8.0ms (0.6%)

prune9.0ms (0.7%)

regimes11.0ms (0.8%)

simplify3.0ms (0.3%)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess27.0ms (2.1%)

Profiling