Metrics for bug329 (missed optimization)

analyze9.0ms (0.7%)

Algorithm

1×

Search

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

Compiler

Compiled 9 to 6 computations (33.3% saved)

Precisions

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

ival-div: 1.0ms (32.7% of total)

ival->=: 1.0ms (32.7% of total)

ival-atan: 1.0ms (32.7% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

sample848.0ms (64.6%)

Results

632.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 356.0ms

ival-div: 170.0ms (47.8% of total)

ival-atan: 125.0ms (35.1% of total)

ival->=: 50.0ms (14.1% of total)

const: 7.0ms (2% of total)

backward-pass: 3.0ms (0.8% of total)

Bogosity

preprocess41.0ms (3.2%)

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

explain38.0ms (2.9%)

FPErrors

Click to see full error table

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

Results

25.0ms

512×

valid

Compiler

Compiled 30 to 14 computations (53.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-div: 5.0ms (56.1% of total)

ival-atan: 3.0ms (33.7% of total)

const: 0.0ms (0% of total)

backward-pass: 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)

localize24.0ms (1.8%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 y x)
✓	cost-diff	0	(atan.f64 (/.f64 y x))
✓	accuracy	100.0%	(/.f64 y x)
✓	accuracy	100.0%	(atan.f64 (/.f64 y x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	38

Stop Event

1×

saturated

Calls

Call 1

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

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

Results

13.0ms

256×

valid

Compiler

Compiled 12 to 5 computations (58.3% saved)

Precisions

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

ival-div: 3.0ms (55.4% of total)

ival-atan: 2.0ms (36.9% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series5.0ms (0.4%)

Counts

2 → 0

Calls

Call 1

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

Outputs

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	(/ y x)
1.0ms	x	@	inf	(/ y x)
0.0ms	y	@	0	(/ y x)
0.0ms	y	@	-inf	(/ y x)
0.0ms	x	@	0	(/ y x)

rewrite191.0ms (14.5%)

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	30
1	90	30
2	1127	30

Stop Event

1×	node limit

Counts

2 → 107

Calls

Call 1

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

simplify92.0ms (7%)

Algorithm

1×	egg-herbie

Rules

463×	`times-frac`
390×	`distribute-lft-neg-out`
372×	`unswap-sqr`
332×	`fma-define`
286×	`fma-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	290	2791
1	512	2711
2	1280	2657
3	4833	2641

Stop Event

1×	node limit

Counts

107 → 134

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)))
(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 3 binary64) (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 y x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 y x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 y x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 y x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 y x)))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1 binary64))
(*.f64 y (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 y x) #s(literal 1 binary64))
(*.f64 (/.f64 y x) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (/.f64 y x))
(*.f64 (cbrt.f64 (/.f64 y x)) (cbrt.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64))) (cbrt.f64 (/.f64 y x)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) x))
(.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (cbrt.f64 y) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 y x)) (sqrt.f64 (/.f64 y x)))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) x))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) y)
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (/.f64 y (cbrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) y) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 y (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 y) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) x))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) (cbrt.f64 x)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (/.f64 y x))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 y x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 y x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) y) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(.f64 (pow.f64 (pow.f64 (.f64 (/.f64 y x) (cbrt.f64 (/.f64 y x))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (/.f64 y x))))
(*.f64 (pow.f64 (pow.f64 (/.f64 y x) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (/.f64 y x))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)) (cbrt.f64 (/.f64 y x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 y) #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 x (cbrt.f64 y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64)) (cbrt.f64 (/.f64 y x)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 y)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 y)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 y)) #s(literal -1 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) y)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 y x) (cbrt.f64 (/.f64 y x))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (/.f64 y x))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 y x) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (/.f64 y x))))
(pow.f64 (/.f64 y x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 y x)) #s(literal 2 binary64))
(pow.f64 (/.f64 x y) #s(literal -1 binary64))
(pow.f64 (E.f64) (log.f64 (/.f64 y x)))
(pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 y x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (/.f64 y x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 y x)))) (sqrt.f64 (log.f64 (/.f64 y x))))
(neg.f64 (/.f64 y (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 y) x))
(sqrt.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 y x)))
(cbrt.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 y x)))
(log1p.f64 (expm1.f64 (/.f64 y x)))
(exp.f64 (log.f64 (/.f64 y x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 y x))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (/.f64 y x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 y x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal -1 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)))
(*.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 (sqrt.f64 (atan.f64 (/.f64 y x))) #s(literal 3 binary64))) (cbrt.f64 (pow.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) #s(literal 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 (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 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 4 binary64)) #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 (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 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 5/2 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 (sqrt.f64 (atan.f64 (/.f64 y x))) #s(literal 3 binary64))) (cbrt.f64 (pow.f64 (sqrt.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 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 4 binary64)) #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)))))
(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))))
(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 (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))
(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 (.f64 #s(literal 3 binary64) (log.f64 (atan.f64 (/.f64 y x)))) #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))
(+.f64 #s(literal 0 binary64) (/.f64 y x))
(/.f64 y x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 y x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 y x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 y x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 y x)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (/.f64 y x)))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1 binary64))
(/.f64 y x)
(*.f64 y (/.f64 #s(literal 1 binary64) x))
(/.f64 y x)
(*.f64 (/.f64 y x) #s(literal 1 binary64))
(/.f64 y x)
(*.f64 (/.f64 y x) (log.f64 (E.f64)))
(/.f64 y x)
(*.f64 #s(literal 1 binary64) (/.f64 y x))
(/.f64 y x)
(*.f64 (cbrt.f64 (/.f64 y x)) (cbrt.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64))))
(/.f64 y x)
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64))) (cbrt.f64 (/.f64 y x)))
(/.f64 y x)
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) x))
(/.f64 y x)
(.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (cbrt.f64 y) (/.f64 #s(literal 1 binary64) x)))
(/.f64 y x)
(*.f64 (sqrt.f64 (/.f64 y x)) (sqrt.f64 (/.f64 y x)))
(/.f64 y x)
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) x))
(/.f64 y x)
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) x)))
(/.f64 y x)
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(/.f64 y x)
(*.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 y x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(/.f64 y x)
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (/.f64 y (cbrt.f64 x)))
(*.f64 y (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (cbrt.f64 x)))
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(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)))))
(.f64 (pow.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) y) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(.f64 (cbrt.f64 (.f64 y (pow.f64 (/.f64 x y) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(/.f64 (cbrt.f64 (*.f64 y (pow.f64 (/.f64 x y) #s(literal -2 binary64)))) (cbrt.f64 x))
(/.f64 (cbrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 x))
(.f64 (pow.f64 (pow.f64 (.f64 (/.f64 y x) (cbrt.f64 (/.f64 y x))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (/.f64 y x))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 y x) (cbrt.f64 (/.f64 y x))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (/.f64 y x))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 4 binary64)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (/.f64 y x))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 8 binary64))) (cbrt.f64 (cbrt.f64 (/.f64 y x))))
(*.f64 (pow.f64 (pow.f64 (/.f64 y x) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (/.f64 y x))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 y x) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (/.f64 y x))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)) (cbrt.f64 (/.f64 y x)))
(*.f64 (cbrt.f64 (/.f64 y x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 y x))) (cbrt.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))))
(/.f64 (cbrt.f64 (/.f64 y x)) (cbrt.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 y) #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 x (cbrt.f64 y)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 x (cbrt.f64 y))))
(/.f64 (*.f64 (/.f64 (cbrt.f64 y) x) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 y) #s(literal -2 binary64)))
(/.f64 (/.f64 (cbrt.f64 y) x) (pow.f64 (cbrt.f64 y) #s(literal -2 binary64)))
(*.f64 (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 y))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (sqrt.f64 y) x))
(/.f64 (/.f64 (sqrt.f64 y) x) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) y) #s(literal -1 binary64)))
(/.f64 y x)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64)) (cbrt.f64 (/.f64 y x)))
(*.f64 (cbrt.f64 (/.f64 y x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 y x))) (cbrt.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))))
(/.f64 (cbrt.f64 (/.f64 y x)) (cbrt.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 y)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y)) #s(literal -1 binary64)))
(/.f64 y x)
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal -1 binary64)))
(/.f64 y x)
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 y)) #s(literal -1 binary64)))
(/.f64 y x)
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 y)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 y)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 y)) #s(literal -2 binary64))
(*.f64 y (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) y)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(.f64 (cbrt.f64 (.f64 y (pow.f64 (/.f64 x y) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(/.f64 (cbrt.f64 (*.f64 y (pow.f64 (/.f64 x y) #s(literal -2 binary64)))) (cbrt.f64 x))
(/.f64 (cbrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 x))
(.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 y x) (cbrt.f64 (/.f64 y x))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (/.f64 y x))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 4 binary64)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (/.f64 y x))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 8 binary64))) (cbrt.f64 (cbrt.f64 (/.f64 y x))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 y x) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (/.f64 y x))))
(pow.f64 (/.f64 y x) #s(literal 1 binary64))
(/.f64 y x)
(pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 3 binary64))
(/.f64 y x)
(pow.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)))
(sqrt.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))
(fabs.f64 (/.f64 y x))
(pow.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 y x)
(pow.f64 (sqrt.f64 (/.f64 y x)) #s(literal 2 binary64))
(/.f64 y x)
(pow.f64 (/.f64 x y) #s(literal -1 binary64))
(/.f64 y x)
(pow.f64 (E.f64) (log.f64 (/.f64 y x)))
(/.f64 y x)
(pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/3 binary64))
(/.f64 y x)
(pow.f64 (/.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64))
(/.f64 y x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 y x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (/.f64 y x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 y x)))) (sqrt.f64 (log.f64 (/.f64 y x))))
(neg.f64 (/.f64 y (neg.f64 x)))
(/.f64 y x)
(neg.f64 (/.f64 (neg.f64 y) x))
(/.f64 y x)
(sqrt.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)))
(sqrt.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))
(fabs.f64 (/.f64 y x))
(log.f64 (exp.f64 (/.f64 y x)))
(/.f64 y x)
(cbrt.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)))
(/.f64 y x)
(cbrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 y x)
(cbrt.f64 (/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))
(/.f64 y x)
(expm1.f64 (log1p.f64 (/.f64 y x)))
(/.f64 y x)
(log1p.f64 (expm1.f64 (/.f64 y x)))
(/.f64 y x)
(exp.f64 (log.f64 (/.f64 y x)))
(/.f64 y x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 y x))) #s(literal 3 binary64)))
(/.f64 y x)
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (/.f64 y x))) #s(literal 1/3 binary64)))
(/.f64 y x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 y x))) #s(literal 2 binary64)))
(/.f64 y x)
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal -1 binary64)))
(/.f64 y x)

eval17.0ms (1.3%)

Compiler: Compiled 1434 to 429 computations (70.1% saved)

prune21.0ms (1.6%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	134	0	134
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	134	1	135

Accuracy

100.0%

Counts

135 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 12 to 8 computations (33.3% 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)

preprocess24.0ms (1.8%)

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

bug329 (missed optimization)

analyze9.0ms (0.7%)

sample848.0ms (64.6%)

preprocess41.0ms (3.2%)

explain38.0ms (2.9%)

eval0.0ms (0%)

prune1.0ms (0%)

localize24.0ms (1.8%)

series5.0ms (0.4%)

rewrite191.0ms (14.5%)

simplify92.0ms (7%)

eval17.0ms (1.3%)

prune21.0ms (1.6%)

simplify2.0ms (0.1%)

soundness0.0ms (0%)

preprocess24.0ms (1.8%)

end0.0ms (0%)

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