Metrics for bug329 (missed optimization)

analyze10.0ms (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)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-div: 1.0ms (32.1% of total)

ival->=: 1.0ms (32.1% of total)

ival-atan: 1.0ms (32.1% of total)

const: 0.0ms (0% of total)

sample967.0ms (48.9%)

Results

742.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 257.0ms

ival-div: 130.0ms (50.6% of total)

ival->=: 64.0ms (24.9% of total)

ival-atan: 52.0ms (20.3% of total)

const: 8.0ms (3.1% of total)

backward-pass: 3.0ms (1.2% of total)

Bogosity

preprocess40.0ms (2%)

Algorithm

1×	egg-herbie

Rules

18×	`fma-define`
15×	`sub-neg`
10×	`+-commutative`
7×	`div-sub`
5×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	143
1	31	143
2	43	143
3	53	143
4	68	143
5	86	143
6	106	143
7	128	143
8	130	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))
(atan.f64 (/.f64 y (neg.f64 x)))
(neg.f64 (atan.f64 (/.f64 y (neg.f64 x))))
(neg.f64 (atan.f64 (/.f64 (neg.f64 y) x)))
(neg.f64 (atan.f64 (/.f64 y (neg.f64 x))))
(atan.f64 (/.f64 x y))

explain53.0ms (2.7%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`(atan.f64 (/.f64 y x))`
-	-	`y`
-	-	`(/.f64 y x)`

Results

36.0ms

512×

256

valid

Compiler

Compiled 30 to 14 computations (53.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-div: 5.0ms (50.6% of total)

ival-atan: 4.0ms (40.5% of total)

const: 0.0ms (0% of total)

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize25.0ms (1.3%)

Localize:

Found 1 expressions with local error:

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

Results

19.0ms

256×

256

valid

Compiler

Compiled 12 to 5 computations (58.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-atan: 3.0ms (54.6% of total)

ival-div: 2.0ms (36.4% of total)

const: 0.0ms (0% of total)

series1.0ms (0.1%)

Counts

1 → 0

Calls

Call 1

Inputs
#<alt (atan.f64 (/.f64 y x))>

Outputs

Calls

6 calls:

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

rewrite263.0ms (13.3%)

Algorithm

1×	batch-egg-rewrite

Rules

419×	`log1p-expm1-u`
419×	`expm1-log1p-u`
403×	`add-exp-log`
391×	`add-log-exp`
378×	`unpow-prod-down`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	90	17
2	1127	17

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

Outputs
(+.f64 #s(literal 0 binary64) (atan.f64 (/.f64 y x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64))) (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 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1 binary64))
(*.f64 (atan.f64 (/.f64 y x)) #s(literal 1 binary64))
(*.f64 (atan.f64 (/.f64 y x)) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x)))
(*.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 2 binary64)) (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 #s(literal 1 binary64) #s(literal 1/3 binary64)) (atan.f64 (/.f64 y x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (atan.f64 (/.f64 y x)) (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(*.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (atan.f64 (/.f64 y x)) (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(*.f64 (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))
(pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) #s(literal 2 binary64))
(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)))) #s(literal 2 binary64))) (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))))
(neg.f64 (atan.f64 (/.f64 (neg.f64 y) x)))
(sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (atan.f64 (/.f64 y x))))
(cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64)))
(atan.f64 (/.f64 y x))
(expm1.f64 (log1p.f64 (atan.f64 (/.f64 y x))))
(log1p.f64 (expm1.f64 (atan.f64 (/.f64 y x))))
(exp.f64 (log.f64 (atan.f64 (/.f64 y x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64)))

simplify66.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

691×	`distribute-lft-in`
674×	`prod-exp`
596×	`distribute-rgt-in`
579×	`fma-define`
230×	`associate-+l-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	104	1046
1	164	1014
2	393	1002
3	1337	1002
4	5088	1002

Stop Event

1×	node limit

Counts

38 → 41

Calls

Call 1

Inputs
(+.f64 #s(literal 0 binary64) (atan.f64 (/.f64 y x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64))) (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 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1 binary64))
(*.f64 (atan.f64 (/.f64 y x)) #s(literal 1 binary64))
(*.f64 (atan.f64 (/.f64 y x)) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x)))
(*.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 2 binary64)) (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 #s(literal 1 binary64) #s(literal 1/3 binary64)) (atan.f64 (/.f64 y x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (atan.f64 (/.f64 y x)) (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(*.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (atan.f64 (/.f64 y x)) (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(*.f64 (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))
(pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) #s(literal 2 binary64))
(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)))) #s(literal 2 binary64))) (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))))
(neg.f64 (atan.f64 (/.f64 (neg.f64 y) x)))
(sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (atan.f64 (/.f64 y x))))
(cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64)))
(atan.f64 (/.f64 y x))
(expm1.f64 (log1p.f64 (atan.f64 (/.f64 y x))))
(log1p.f64 (expm1.f64 (atan.f64 (/.f64 y x))))
(exp.f64 (log.f64 (atan.f64 (/.f64 y x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64)))

Outputs
(+.f64 #s(literal 0 binary64) (atan.f64 (/.f64 y x)))
(atan.f64 (/.f64 y x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64))) (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 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (/.f64 y x))))))
(-.f64 (+.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1 binary64))
(atan.f64 (/.f64 y x))
(*.f64 (atan.f64 (/.f64 y x)) #s(literal 1 binary64))
(atan.f64 (/.f64 y x))
(*.f64 (atan.f64 (/.f64 y x)) (log.f64 (E.f64)))
(atan.f64 (/.f64 y x))
(*.f64 #s(literal 1 binary64) (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))) #s(literal 2 binary64)))
(atan.f64 (/.f64 y x))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 2 binary64)) (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 #s(literal 1 binary64) #s(literal 1/3 binary64)) (atan.f64 (/.f64 y x)))
(atan.f64 (/.f64 y x))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 3 binary64)))
(atan.f64 (/.f64 y x))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(atan.f64 (/.f64 y x))
(.f64 (pow.f64 (pow.f64 (.f64 (atan.f64 (/.f64 y x)) (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 8 binary64))) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(*.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))
(*.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 5/2 binary64))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64)))))
(atan.f64 (/.f64 y x))
(.f64 (cbrt.f64 (pow.f64 (.f64 (atan.f64 (/.f64 y x)) (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 8 binary64))) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(*.f64 (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))
(*.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 5/2 binary64))))
(pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1 binary64))
(atan.f64 (/.f64 y x))
(pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 3 binary64))
(atan.f64 (/.f64 y x))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(atan.f64 (/.f64 y x))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(atan.f64 (/.f64 y x))
(pow.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) #s(literal 2 binary64))
(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)))) #s(literal 2 binary64))) (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))))
(neg.f64 (atan.f64 (/.f64 (neg.f64 y) x)))
(neg.f64 (atan.f64 (/.f64 y (neg.f64 x))))
(sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)))
(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)) #s(literal 3 binary64)))
(atan.f64 (/.f64 y x))
(atan.f64 (/.f64 y x))
(expm1.f64 (log1p.f64 (atan.f64 (/.f64 y x))))
(atan.f64 (/.f64 y x))
(log1p.f64 (expm1.f64 (atan.f64 (/.f64 y x))))
(atan.f64 (/.f64 y x))
(exp.f64 (log.f64 (atan.f64 (/.f64 y x))))
(atan.f64 (/.f64 y x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 3 binary64)))
(atan.f64 (/.f64 y x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(atan.f64 (/.f64 y x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64)))
(atan.f64 (/.f64 y x))

eval7.0ms (0.3%)

Compiler: Compiled 428 to 155 computations (63.8% saved)

prune6.0ms (0.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	39	3	42

Accuracy

100.0%

Counts

42 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.2%	(pow.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) #s(literal 2 binary64))
▶	54.7%	(exp.f64 (log.f64 (atan.f64 (/.f64 y x))))
✓	100.0%	(atan.f64 (/.f64 y x))

Compiler

Compiled 23 to 17 computations (26.1% saved)

localize53.0ms (2.7%)

Localize:

Found 6 expressions with local error:

New	Accuracy	Program
	100.0%	(atan.f64 (/.f64 y x))
✓	99.5%	(pow.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) #s(literal 2 binary64))
✓	93.2%	(sqrt.f64 (atan.f64 (/.f64 y x)))
	100.0%	(atan.f64 (/.f64 y x))
✓	98.1%	(exp.f64 (log.f64 (atan.f64 (/.f64 y x))))
✓	93.1%	(log.f64 (atan.f64 (/.f64 y x)))

Results

22.0ms	132×	256	valid
15.0ms	124×	256	invalid

Compiler

Compiled 45 to 11 computations (75.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-log: 5.0ms (29.6% of total)

ival-pow: 3.0ms (17.8% of total)

ival-div: 2.0ms (11.8% of total)

ival-exp: 2.0ms (11.8% of total)

ival-sqrt: 2.0ms (11.8% of total)

ival-atan: 2.0ms (11.8% of total)

const: 1.0ms (5.9% of total)

series144.0ms (7.3%)

Counts

4 → 48

Calls

Call 1

Inputs
#<alt (log.f64 (atan.f64 (/.f64 y x)))>
#<alt (exp.f64 (log.f64 (atan.f64 (/.f64 y x))))>
#<alt (sqrt.f64 (atan.f64 (/.f64 y x)))>
#<alt (pow.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) #s(literal 2 binary64))>

Outputs
#<alt (atan.f64 (/.f64 y x))>
#<alt (atan.f64 (/.f64 y x))>
#<alt (atan.f64 (/.f64 y x))>
#<alt (atan.f64 (/.f64 y x))>
#<alt (atan.f64 (/.f64 y x))>
#<alt (atan.f64 (/.f64 y x))>
#<alt (atan.f64 (/.f64 y x))>
#<alt (atan.f64 (/.f64 y x))>
#<alt (atan.f64 (/.f64 y x))>
#<alt (atan.f64 (/.f64 y x))>
#<alt (atan.f64 (/.f64 y x))>
#<alt (atan.f64 (/.f64 y x))>
#<alt (atan.f64 (/.f64 y x))>
#<alt (atan.f64 (/.f64 y x))>
#<alt (atan.f64 (/.f64 y x))>
#<alt (atan.f64 (/.f64 y x))>
#<alt (atan.f64 (/.f64 y x))>
#<alt (atan.f64 (/.f64 y x))>
#<alt (atan.f64 (/.f64 y x))>
#<alt (atan.f64 (/.f64 y x))>
#<alt (atan.f64 (/.f64 y x))>
#<alt (atan.f64 (/.f64 y x))>
#<alt (atan.f64 (/.f64 y x))>
#<alt (atan.f64 (/.f64 y x))>
#<alt (atan.f64 (/.f64 y x))>
#<alt (atan.f64 (/.f64 y x))>
#<alt (atan.f64 (/.f64 y x))>
#<alt (atan.f64 (/.f64 y x))>
#<alt (atan.f64 (/.f64 y x))>
#<alt (atan.f64 (/.f64 y x))>
#<alt (atan.f64 (/.f64 y x))>
#<alt (atan.f64 (/.f64 y x))>
#<alt (atan.f64 (/.f64 y x))>
#<alt (atan.f64 (/.f64 y x))>
#<alt (atan.f64 (/.f64 y x))>
#<alt (atan.f64 (/.f64 y x))>
#<alt (atan.f64 (/.f64 y x))>
#<alt (atan.f64 (/.f64 y x))>
#<alt (atan.f64 (/.f64 y x))>
#<alt (atan.f64 (/.f64 y x))>
#<alt (atan.f64 (/.f64 y x))>
#<alt (atan.f64 (/.f64 y x))>
#<alt (atan.f64 (/.f64 y x))>
#<alt (atan.f64 (/.f64 y x))>
#<alt (atan.f64 (/.f64 y x))>
#<alt (atan.f64 (/.f64 y x))>
#<alt (atan.f64 (/.f64 y x))>
#<alt (atan.f64 (/.f64 y x))>

Calls

24 calls:

Time	Variable		Point	Expression
33.0ms	x	@	-inf	(log (atan (/ y x)))
30.0ms	y	@	0	(log (atan (/ y x)))
27.0ms	x	@	inf	(log (atan (/ y x)))
26.0ms	y	@	inf	(log (atan (/ y x)))
14.0ms	y	@	-inf	(log (atan (/ y x)))

rewrite110.0ms (5.6%)

Algorithm

1×	batch-egg-rewrite

Rules

543×	`log1p-expm1-u`
543×	`expm1-log1p-u`
539×	`unpow-prod-down`
488×	`pow1`
307×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	76
1	155	76
2	1554	76

Stop Event

1×	node limit

Counts

4 → 233

Calls

Call 1

Inputs
(log.f64 (atan.f64 (/.f64 y x)))
(exp.f64 (log.f64 (atan.f64 (/.f64 y x))))
(sqrt.f64 (atan.f64 (/.f64 y x)))
(pow.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) #s(literal 2 binary64))

Outputs
(+.f64 (log.f64 (atan.f64 (/.f64 y x))) #s(literal 0 binary64))
(+.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))
(+.f64 #s(literal 0 binary64) (log.f64 (atan.f64 (/.f64 y x))))
(+.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))) (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(+.f64 (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))))
(+.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (atan.f64 (/.f64 y x)))) (log.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3/4 binary64))))
(+.f64 (log.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3/4 binary64))) (*.f64 #s(literal 1/4 binary64) (log.f64 (atan.f64 (/.f64 y x)))))
(+.f64 (log.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 5/6 binary64))) (log.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/6 binary64))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (atan.f64 (/.f64 y x))))) #s(literal 1 binary64))
(*.f64 (log.f64 (atan.f64 (/.f64 y x))) #s(literal 1 binary64))
(*.f64 (log.f64 (atan.f64 (/.f64 y x))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))
(*.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (log.f64 (atan.f64 (/.f64 y x)))))
(*.f64 #s(literal 1 binary64) (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)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64)) (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)))))
(.f64 #s(literal 1/3 binary64) (.f64 #s(literal 3 binary64) (log.f64 (atan.f64 (/.f64 y x)))))
(*.f64 #s(literal 3 binary64) (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (log.f64 (atan.f64 (/.f64 y x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x))))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x)))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (atan.f64 (/.f64 y x))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (atan.f64 (/.f64 y x))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (log.f64 (atan.f64 (/.f64 y x))) (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x))))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x))))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (atan.f64 (/.f64 y x))) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (log.f64 (atan.f64 (/.f64 y x))))))
(pow.f64 (log.f64 (atan.f64 (/.f64 y x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (atan.f64 (/.f64 y x))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (log.f64 (atan.f64 (/.f64 y x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (log.f64 (atan.f64 (/.f64 y x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (atan.f64 (/.f64 y x))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (log.f64 (atan.f64 (/.f64 y x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (atan.f64 (/.f64 y x)))))) (sqrt.f64 (log.f64 (log.f64 (atan.f64 (/.f64 y x))))))
(sqrt.f64 (pow.f64 (log.f64 (atan.f64 (/.f64 y x))) #s(literal 2 binary64)))
(log.f64 (atan.f64 (/.f64 y x)))
(cbrt.f64 (pow.f64 (log.f64 (atan.f64 (/.f64 y x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (atan.f64 (/.f64 y x)))))
(log1p.f64 (-.f64 (atan.f64 (/.f64 y x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (atan.f64 (/.f64 y x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 (atan.f64 (/.f64 y x))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (atan.f64 (/.f64 y x))))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (log.f64 (atan.f64 (/.f64 y x))) (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))
(fma.f64 #s(literal 1 binary64) (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x))))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x))))) (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))
(fma.f64 (sqrt.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x))))) (sqrt.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x))))) (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))
(+.f64 #s(literal 1 binary64) (-.f64 (atan.f64 (/.f64 y x)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (atan.f64 (/.f64 y x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64))) (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 (exp.f64 (log1p.f64 (atan.f64 (/.f64 y x)))) #s(literal 1 binary64))
(*.f64 (atan.f64 (/.f64 y x)) #s(literal 1 binary64))
(*.f64 (atan.f64 (/.f64 y x)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) (sqrt.f64 (atan.f64 (/.f64 y x))))
(*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x)))
(*.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) (pow.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 2 binary64)) (cbrt.f64 (atan.f64 (/.f64 y x))))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/4 binary64)) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 5/6 binary64)) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3/4 binary64)) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))) (pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (atan.f64 (/.f64 y x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (atan.f64 (/.f64 y x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 4 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (atan.f64 (/.f64 y x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 5 binary64)) #s(literal 1/2 binary64)) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(/.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (exp.f64 (log1p.f64 (log.f64 (atan.f64 (/.f64 y x)))))) (exp.f64 #s(literal 1 binary64)))
(pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/6 binary64)) #s(literal 6 binary64))
(pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3/2 binary64)) #s(literal 2/3 binary64))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (atan.f64 (/.f64 y x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 1 binary64)))
(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 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x))))) (pow.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 (log.f64 (atan.f64 (/.f64 y x)))))) (cbrt.f64 (sqrt.f64 (log.f64 (atan.f64 (/.f64 y x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x))))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x)))))) (sqrt.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (atan.f64 (/.f64 y x))))) (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x))))) (cbrt.f64 (sqrt.f64 (log.f64 (atan.f64 (/.f64 y x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (atan.f64 (/.f64 y x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (atan.f64 (/.f64 y x))))) (sqrt.f64 (sqrt.f64 (log.f64 (atan.f64 (/.f64 y x)))))) (sqrt.f64 (sqrt.f64 (log.f64 (atan.f64 (/.f64 y x))))))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))
(neg.f64 (atan.f64 (/.f64 y (neg.f64 x))))
(neg.f64 (atan.f64 (/.f64 (neg.f64 y) x)))
(sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (atan.f64 (/.f64 y x))))
(cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64)))
(atan.f64 (/.f64 y x))
(expm1.f64 (log1p.f64 (atan.f64 (/.f64 y x))))
(log1p.f64 (expm1.f64 (atan.f64 (/.f64 y x))))
(exp.f64 (log.f64 (atan.f64 (/.f64 y x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1 binary64))) (log.f64 (atan.f64 (/.f64 y x)))))
(exp.f64 (.f64 (.f64 (log.f64 (atan.f64 (/.f64 y x))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) (*.f64 (log.f64 (atan.f64 (/.f64 y x))) #s(literal 1/2 binary64))))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) (*.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (atan.f64 (/.f64 y x))) #s(literal 1/2 binary64)) (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x))))))
(exp.f64 (+.f64 (.f64 (log.f64 (atan.f64 (/.f64 y x))) #s(literal 1/2 binary64)) (.f64 (log.f64 (atan.f64 (/.f64 y x))) #s(literal 1/2 binary64))))
(exp.f64 (+.f64 (.f64 (log.f64 (atan.f64 (/.f64 y x))) #s(literal 1/2 binary64)) (.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 1 binary64)) (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x))))))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 1 binary64)) (.f64 (log.f64 (atan.f64 (/.f64 y x))) #s(literal 1/2 binary64))))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 1 binary64)) (.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 1 binary64))))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (atan.f64 (/.f64 y x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (atan.f64 (/.f64 y x))))) #s(literal 2 binary64))) (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 (exp.f64 (log1p.f64 (sqrt.f64 (atan.f64 (/.f64 y x))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (atan.f64 (/.f64 y x))))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/6 binary64)) (cbrt.f64 (atan.f64 (/.f64 y x))))
(*.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/4 binary64)) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/4 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 2 binary64))) (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 5/6 binary64)) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/4 binary64))) (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sqrt.f64 (atan.f64 (/.f64 y x))))
(*.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 5/6 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/6 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 4 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 5/4 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/4 binary64))))
(pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 (log.f64 (atan.f64 (/.f64 y x))) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (atan.f64 (/.f64 y x))))) (*.f64 (sqrt.f64 (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (atan.f64 (/.f64 y x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x))))) #s(literal 2 binary64))) (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))))))
(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)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))
(exp.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))
(exp.f64 (*.f64 (log.f64 (atan.f64 (/.f64 y x))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3/2 binary64) (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (atan.f64 (/.f64 y x))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (-.f64 (atan.f64 (/.f64 y x)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (atan.f64 (/.f64 y x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64))) (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 (exp.f64 (log1p.f64 (atan.f64 (/.f64 y x)))) #s(literal 1 binary64))
(*.f64 (atan.f64 (/.f64 y x)) #s(literal 1 binary64))
(*.f64 (atan.f64 (/.f64 y x)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) (sqrt.f64 (atan.f64 (/.f64 y x))))
(*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x)))
(*.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) (pow.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 2 binary64)) (cbrt.f64 (atan.f64 (/.f64 y x))))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/4 binary64)) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 5/6 binary64)) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3/4 binary64)) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))) (pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (atan.f64 (/.f64 y x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (atan.f64 (/.f64 y x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 4 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (atan.f64 (/.f64 y x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 5 binary64)) #s(literal 1/2 binary64)) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(/.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (exp.f64 (log1p.f64 (log.f64 (atan.f64 (/.f64 y x)))))) (exp.f64 #s(literal 1 binary64)))
(pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/6 binary64)) #s(literal 6 binary64))
(pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3/2 binary64)) #s(literal 2/3 binary64))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (atan.f64 (/.f64 y x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 1 binary64)))
(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 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x))))) (pow.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 (log.f64 (atan.f64 (/.f64 y x)))))) (cbrt.f64 (sqrt.f64 (log.f64 (atan.f64 (/.f64 y x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x))))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x)))))) (sqrt.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (atan.f64 (/.f64 y x))))) (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x))))) (cbrt.f64 (sqrt.f64 (log.f64 (atan.f64 (/.f64 y x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (atan.f64 (/.f64 y x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (atan.f64 (/.f64 y x))))) (sqrt.f64 (sqrt.f64 (log.f64 (atan.f64 (/.f64 y x)))))) (sqrt.f64 (sqrt.f64 (log.f64 (atan.f64 (/.f64 y x))))))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))
(neg.f64 (atan.f64 (/.f64 y (neg.f64 x))))
(neg.f64 (atan.f64 (/.f64 (neg.f64 y) x)))
(sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (atan.f64 (/.f64 y x))))
(cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64)))
(atan.f64 (/.f64 y x))
(expm1.f64 (log1p.f64 (atan.f64 (/.f64 y x))))
(log1p.f64 (expm1.f64 (atan.f64 (/.f64 y x))))
(exp.f64 (log.f64 (atan.f64 (/.f64 y x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1 binary64))) (log.f64 (atan.f64 (/.f64 y x)))))
(exp.f64 (.f64 (.f64 (log.f64 (atan.f64 (/.f64 y x))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) (*.f64 (log.f64 (atan.f64 (/.f64 y x))) #s(literal 1/2 binary64))))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) (*.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (atan.f64 (/.f64 y x))) #s(literal 1/2 binary64)) (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x))))))
(exp.f64 (+.f64 (.f64 (log.f64 (atan.f64 (/.f64 y x))) #s(literal 1/2 binary64)) (.f64 (log.f64 (atan.f64 (/.f64 y x))) #s(literal 1/2 binary64))))
(exp.f64 (+.f64 (.f64 (log.f64 (atan.f64 (/.f64 y x))) #s(literal 1/2 binary64)) (.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 1 binary64)) (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x))))))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 1 binary64)) (.f64 (log.f64 (atan.f64 (/.f64 y x))) #s(literal 1/2 binary64))))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 1 binary64)) (.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 1 binary64))))

simplify98.0ms (5%)

Algorithm

1×	egg-herbie

Rules

732×	`fma-define`
412×	`exp-prod`
409×	`cube-prod`
404×	`swap-sqr`
362×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	348	7879
1	537	7843
2	1414	7717
3	5024	7717

Stop Event

1×	node limit

Counts

281 → 181

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))
(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))) #s(literal 0 binary64))
(+.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))
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(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (atan.f64 (/.f64 y x))))) (*.f64 (sqrt.f64 (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (atan.f64 (/.f64 y x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x))))) #s(literal 2 binary64))) (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))))))
(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)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))
(exp.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))
(exp.f64 (*.f64 (log.f64 (atan.f64 (/.f64 y x))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3/2 binary64) (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (atan.f64 (/.f64 y x))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (-.f64 (atan.f64 (/.f64 y x)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (atan.f64 (/.f64 y x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64))) (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 (exp.f64 (log1p.f64 (atan.f64 (/.f64 y x)))) #s(literal 1 binary64))
(*.f64 (atan.f64 (/.f64 y x)) #s(literal 1 binary64))
(*.f64 (atan.f64 (/.f64 y x)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) (sqrt.f64 (atan.f64 (/.f64 y x))))
(*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x)))
(*.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) (pow.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 2 binary64)) (cbrt.f64 (atan.f64 (/.f64 y x))))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/4 binary64)) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 5/6 binary64)) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3/4 binary64)) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))) (pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (atan.f64 (/.f64 y x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (atan.f64 (/.f64 y x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 4 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (atan.f64 (/.f64 y x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 5 binary64)) #s(literal 1/2 binary64)) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(/.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (exp.f64 (log1p.f64 (log.f64 (atan.f64 (/.f64 y x)))))) (exp.f64 #s(literal 1 binary64)))
(pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/6 binary64)) #s(literal 6 binary64))
(pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3/2 binary64)) #s(literal 2/3 binary64))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (atan.f64 (/.f64 y x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 1 binary64)))
(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 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x))))) (pow.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 (log.f64 (atan.f64 (/.f64 y x)))))) (cbrt.f64 (sqrt.f64 (log.f64 (atan.f64 (/.f64 y x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x))))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x)))))) (sqrt.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (atan.f64 (/.f64 y x))))) (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x))))) (cbrt.f64 (sqrt.f64 (log.f64 (atan.f64 (/.f64 y x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (atan.f64 (/.f64 y x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (atan.f64 (/.f64 y x))))) (sqrt.f64 (sqrt.f64 (log.f64 (atan.f64 (/.f64 y x)))))) (sqrt.f64 (sqrt.f64 (log.f64 (atan.f64 (/.f64 y x))))))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))
(neg.f64 (atan.f64 (/.f64 y (neg.f64 x))))
(neg.f64 (atan.f64 (/.f64 (neg.f64 y) x)))
(sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (atan.f64 (/.f64 y x))))
(cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64)))
(atan.f64 (/.f64 y x))
(expm1.f64 (log1p.f64 (atan.f64 (/.f64 y x))))
(log1p.f64 (expm1.f64 (atan.f64 (/.f64 y x))))
(exp.f64 (log.f64 (atan.f64 (/.f64 y x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1 binary64))) (log.f64 (atan.f64 (/.f64 y x)))))
(exp.f64 (.f64 (.f64 (log.f64 (atan.f64 (/.f64 y x))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) (*.f64 (log.f64 (atan.f64 (/.f64 y x))) #s(literal 1/2 binary64))))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) (*.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (atan.f64 (/.f64 y x))) #s(literal 1/2 binary64)) (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x))))))
(exp.f64 (+.f64 (.f64 (log.f64 (atan.f64 (/.f64 y x))) #s(literal 1/2 binary64)) (.f64 (log.f64 (atan.f64 (/.f64 y x))) #s(literal 1/2 binary64))))
(exp.f64 (+.f64 (.f64 (log.f64 (atan.f64 (/.f64 y x))) #s(literal 1/2 binary64)) (.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 1 binary64)) (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x))))))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 1 binary64)) (.f64 (log.f64 (atan.f64 (/.f64 y x))) #s(literal 1/2 binary64))))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 1 binary64)) (.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 1 binary64))))

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))
(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))) #s(literal 0 binary64))
(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)))))
(log.f64 (atan.f64 (/.f64 y x)))
(+.f64 #s(literal 0 binary64) (log.f64 (atan.f64 (/.f64 y x))))
(log.f64 (atan.f64 (/.f64 y x)))
(+.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))) (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(log.f64 (atan.f64 (/.f64 y x)))
(+.f64 (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))))
(log.f64 (atan.f64 (/.f64 y x)))
(+.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (atan.f64 (/.f64 y x)))) (log.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3/4 binary64))))
(fma.f64 (log.f64 (atan.f64 (/.f64 y x))) #s(literal 1/4 binary64) (log.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3/4 binary64))))
(+.f64 (log.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3/4 binary64))) (*.f64 #s(literal 1/4 binary64) (log.f64 (atan.f64 (/.f64 y x)))))
(fma.f64 (log.f64 (atan.f64 (/.f64 y x))) #s(literal 1/4 binary64) (log.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3/4 binary64))))
(+.f64 (log.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 5/6 binary64))) (log.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/6 binary64))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (atan.f64 (/.f64 y x))))) #s(literal 1 binary64))
(log.f64 (atan.f64 (/.f64 y x)))
(*.f64 (log.f64 (atan.f64 (/.f64 y x))) #s(literal 1 binary64))
(log.f64 (atan.f64 (/.f64 y x)))
(*.f64 (log.f64 (atan.f64 (/.f64 y x))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(log.f64 (atan.f64 (/.f64 y x)))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))
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(*.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64))
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(.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (log.f64 (atan.f64 (/.f64 y x)))))
(log.f64 (atan.f64 (/.f64 y x)))
(*.f64 #s(literal 1 binary64) (log.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)))) #s(literal 2 binary64)))
(log.f64 (atan.f64 (/.f64 y x)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64)) (cbrt.f64 (log.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)))))
(log.f64 (atan.f64 (/.f64 y x)))
(.f64 #s(literal 1/3 binary64) (.f64 #s(literal 3 binary64) (log.f64 (atan.f64 (/.f64 y x)))))
(log.f64 (atan.f64 (/.f64 y x)))
(*.f64 #s(literal 3 binary64) (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(log.f64 (atan.f64 (/.f64 y x)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (log.f64 (atan.f64 (/.f64 y x))))
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(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x))))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x)))))
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(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x))))) #s(literal 3 binary64)))
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(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (atan.f64 (/.f64 y x))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (atan.f64 (/.f64 y x))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (log.f64 (atan.f64 (/.f64 y x))) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (log.f64 (atan.f64 (/.f64 y x))) #s(literal 3 binary64)))))
(.f64 (pow.f64 (pow.f64 (.f64 (log.f64 (atan.f64 (/.f64 y x))) (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x))))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x))))))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x))))) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 8 binary64))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (atan.f64 (/.f64 y x))) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (log.f64 (atan.f64 (/.f64 y x))))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (atan.f64 (/.f64 y x))) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (log.f64 (atan.f64 (/.f64 y x))))))
(pow.f64 (log.f64 (atan.f64 (/.f64 y x))) #s(literal 1 binary64))
(log.f64 (atan.f64 (/.f64 y x)))
(pow.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 3 binary64))
(log.f64 (atan.f64 (/.f64 y x)))
(pow.f64 (pow.f64 (log.f64 (atan.f64 (/.f64 y x))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(log.f64 (atan.f64 (/.f64 y x)))
(pow.f64 (pow.f64 (log.f64 (atan.f64 (/.f64 y x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(log.f64 (atan.f64 (/.f64 y x)))
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(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3/2 binary64)) #s(literal 2/3 binary64))
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(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
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(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/4 binary64)) #s(literal 4 binary64))
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(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (atan.f64 (/.f64 y x))))
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(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x)))))
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(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 1 binary64)))
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(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x))))))
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(exp.f64 (+.f64 (.f64 (log.f64 (atan.f64 (/.f64 y x))) #s(literal 1/2 binary64)) (.f64 (log.f64 (atan.f64 (/.f64 y x))) #s(literal 1/2 binary64))))
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(exp.f64 (+.f64 (.f64 (log.f64 (atan.f64 (/.f64 y x))) #s(literal 1/2 binary64)) (.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 1 binary64))))
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(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 1 binary64)) (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x))))))
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(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 1 binary64)) (.f64 (log.f64 (atan.f64 (/.f64 y x))) #s(literal 1/2 binary64))))
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(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 1 binary64)) (.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 1 binary64))))
(atan.f64 (/.f64 y x))

eval66.0ms (3.3%)

Compiler: Compiled 4470 to 1739 computations (61.1% saved)

prune34.0ms (1.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	345	0	345
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	345	3	348

Accuracy

100.0%

Counts

348 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	56.2%	(pow.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) #s(literal 2 binary64))
✓	54.7%	(exp.f64 (log.f64 (atan.f64 (/.f64 y x))))
✓	100.0%	(atan.f64 (/.f64 y x))

Compiler

Compiled 42 to 26 computations (38.1% saved)

regimes8.0ms (0.4%)

Accuracy

Total -29.2b remaining (-373504%)

Threshold costs -29.2b (-373504%)

Counts

3 → 1

Calls

Call 1

Inputs
(atan.f64 (/.f64 y x))
(exp.f64 (log.f64 (atan.f64 (/.f64 y x))))
(pow.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) #s(literal 2 binary64))

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

Calls

4 calls:

3.0ms	(/.f64 y x)
1.0ms	x
1.0ms	y
1.0ms	(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 17 to 11 computations (35.3% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	17

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness0.0ms (0%)

Stop Event

1×

done

Compiler

Compiled 6 to 4 computations (33.3% saved)

preprocess26.0ms (1.3%)

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

bug329 (missed optimization)

analyze10.0ms (0.5%)

sample967.0ms (48.9%)

preprocess40.0ms (2%)

explain53.0ms (2.7%)

eval0.0ms (0%)

prune1.0ms (0%)

localize25.0ms (1.3%)

series1.0ms (0.1%)

rewrite263.0ms (13.3%)

simplify66.0ms (3.3%)

eval7.0ms (0.3%)

prune6.0ms (0.3%)

localize53.0ms (2.7%)

series144.0ms (7.3%)

rewrite110.0ms (5.6%)

simplify98.0ms (5%)

eval66.0ms (3.3%)

prune34.0ms (1.7%)

regimes8.0ms (0.4%)

simplify2.0ms (0.1%)

soundness0.0ms (0%)

preprocess26.0ms (1.3%)

end0.0ms (0%)

Profiling