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)

sample927.0ms (63.3%)

Results

913.0ms

8256×

body

256

valid

Bogosity

preprocess17.0ms (1.2%)

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	63
1	22	63
2	33	63
3	44	63
4	55	63
5	70	63
6	91	63
7	118	63
8	122	63

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

Compiler

Compiled 6 to 4 computations (33.3% 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)

localize20.0ms (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	@	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))

rewrite57.0ms (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))))

simplify58.0ms (3.9%)

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

Accuracy

100.0%

Counts

20 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	78.9%	(expm1.f64 (log1p.f64 (atan.f64 (/.f64 y x))))
✓	100.0%	(atan.f64 (/.f64 y x))
▶	78.9%	(expm1.f64 (log1p.f64 (atan.f64 (/.f64 y x))))
✓	100.0%	(atan.f64 (/.f64 y x))

Compiler

Compiled 28 to 20 computations (28.6% saved)

localize38.0ms (2.6%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	100.0%	(log1p.f64 (atan.f64 (/.f64 y x)))
	100.0%	(atan.f64 (/.f64 y x))
✓	100.0%	(expm1.f64 (log1p.f64 (atan.f64 (/.f64 y x))))

Compiler

Compiled 23 to 7 computations (69.6% saved)

series120.0ms (8.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
31.0ms	y	@	0	(log1p.f64 (atan.f64 (/.f64 y x)))
29.0ms	x	@	-inf	(log1p.f64 (atan.f64 (/.f64 y x)))
18.0ms	y	@	inf	(log1p.f64 (atan.f64 (/.f64 y x)))
15.0ms	y	@	-inf	(log1p.f64 (atan.f64 (/.f64 y x)))
14.0ms	x	@	0	(log1p.f64 (atan.f64 (/.f64 y x)))

rewrite73.0ms (5%)

Algorithm

1×	batch-egg-rewrite

Rules

1604×	`pow1`
1470×	`log1p-expm1-u`
1468×	`add-exp-log`
1468×	`expm1-log1p-u`
1434×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	163	26
2	1983	26

Stop Event

1×	node limit

Counts

2 → 34

Calls

Call 1

Inputs
(expm1.f64 (log1p.f64 (atan.f64 (/.f64 y x))))
(log1p.f64 (atan.f64 (/.f64 y x)))

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

simplify62.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

954×	`log-prod`
904×	`associate-r`
800×	`associate-l`
652×	`fma-def`
616×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	73	1138
1	157	1138
2	668	1126
3	4829	1126

Stop Event

1×	node limit

Counts

82 → 39

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

eval11.0ms (0.7%)

Compiler: Compiled 619 to 253 computations (59.1% saved)

prune9.0ms (0.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	58	2	60

Accuracy

100.0%

Counts

60 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	78.9%	(expm1.f64 (log1p.f64 (atan.f64 (/.f64 y x))))
✓	100.0%	(atan.f64 (/.f64 y x))

Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes13.0ms (0.9%)

Accuracy

Total -13.5b remaining (-345800%)

Threshold costs -13.5b (-345800%)

Counts

2 → 1

Calls

Call 1

Inputs
(atan.f64 (/.f64 y x))
(expm1.f64 (log1p.f64 (atan.f64 (/.f64 y x))))

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

Calls

4 calls:

4.0ms	x
3.0ms	y
3.0ms	(/.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)

simplify4.0ms (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%)

preprocess40.0ms (2.7%)

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

analyze7.0ms (0.5%)

sample927.0ms (63.3%)

preprocess17.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0.1%)

localize20.0ms (1.4%)

series1.0ms (0%)

rewrite57.0ms (3.9%)

simplify58.0ms (3.9%)

eval3.0ms (0.2%)

prune4.0ms (0.3%)

localize38.0ms (2.6%)

series120.0ms (8.2%)

rewrite73.0ms (5%)

simplify62.0ms (4.3%)

eval11.0ms (0.7%)

prune9.0ms (0.6%)

regimes13.0ms (0.9%)

simplify4.0ms (0.3%)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess40.0ms (2.7%)

Profiling