Metrics for bug329 (missed optimization)

analyze10.0ms (0.6%)

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 (33.5% of total)

ival->=: 1.0ms (33.5% of total)

ival-atan: 1.0ms (33.5% of total)

const: 0.0ms (0% of total)

sample605.0ms (33.4%)

Results

391.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 189.0ms

ival-div: 77.0ms (40.7% of total)

ival-atan: 59.0ms (31.2% of total)

ival->=: 43.0ms (22.7% of total)

const: 7.0ms (3.7% of total)

backward-pass: 3.0ms (1.6% of total)

Bogosity

preprocess43.0ms (2.4%)

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))

explain40.0ms (2.2%)

FPErrors

Click to see full error table

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

Results

26.0ms

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: 5.0ms (50.6% 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)

localize17.0ms (1%)

Localize:

Found 1 expressions with local error:

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

Results

13.0ms

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-div: 2.0ms (44.3% of total)

ival-atan: 2.0ms (44.3% 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	@	0	(atan (/ y x))
0.0ms	y	@	-inf	(atan (/ y x))
0.0ms	y	@	inf	(atan (/ y x))
0.0ms	x	@	-inf	(atan (/ y x))
0.0ms	x	@	inf	(atan (/ y x))

rewrite170.0ms (9.4%)

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 → 37

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)))
(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)))

simplify58.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

719×	`distribute-lft-in`
678×	`prod-exp`
626×	`distribute-rgt-in`
597×	`fma-define`
232×	`distribute-lft-out`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	104	1017
1	167	985
2	389	973
3	1377	973
4	5395	973

Stop Event

1×	node limit

Counts

37 → 42

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)))

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 (.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 (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 (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)))))
(*.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))))
(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))
(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))

eval5.0ms (0.3%)

Compiler: Compiled 445 to 160 computations (64% saved)

prune6.0ms (0.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	40	2	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	40	3	43

Accuracy

100.0%

Counts

43 → 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)

localize49.0ms (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

19.0ms	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: 18.0ms

ival-atan: 5.0ms (28.1% of total)

ival-log: 3.0ms (16.9% of total)

ival-pow: 3.0ms (16.9% of total)

ival-div: 2.0ms (11.2% of total)

ival-exp: 2.0ms (11.2% of total)

ival-sqrt: 2.0ms (11.2% of total)

const: 0.0ms (0% of total)

series121.0ms (6.7%)

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
32.0ms	x	@	-inf	(log (atan (/ y x)))
29.0ms	y	@	0	(log (atan (/ y x)))
19.0ms	y	@	inf	(log (atan (/ y x)))
17.0ms	y	@	-inf	(log (atan (/ y x)))
13.0ms	x	@	inf	(log (atan (/ y x)))

rewrite114.0ms (6.3%)

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 → 194

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 (log.f64 (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(+.f64 (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) (log.f64 (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)))))
(+.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) (log.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64))))
(*.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)))
(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 (.f64 #s(literal 3 binary64) (log.f64 (log.f64 (atan.f64 (/.f64 y x))))) #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))) (cbrt.f64 (pow.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 (cbrt.f64 (pow.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)) (log.f64 (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64))))) (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))))
(+.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 (cbrt.f64 (pow.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))))))
(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))) (cbrt.f64 (pow.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 (cbrt.f64 (pow.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)) (log.f64 (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64))))) (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)))
(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 2 binary64))) #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))))

simplify178.0ms (9.8%)

Algorithm

1×	egg-herbie

Rules

686×	`fma-define`
621×	`fma-neg`
405×	`cube-prod`
399×	`swap-sqr`
372×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	348	6924
1	539	6888
2	1365	6762
3	4625	6762
4	7698	6762

Stop Event

1×	node limit

Counts

242 → 188

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)))))
(+.f64 #s(literal 0 binary64) (log.f64 (atan.f64 (/.f64 y x))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(+.f64 (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) (log.f64 (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)))))
(+.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) (log.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64))))
(*.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)))
(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 (.f64 #s(literal 3 binary64) (log.f64 (log.f64 (atan.f64 (/.f64 y x))))) #s(literal 1/3 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))))
(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))
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(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 2 binary64))) #s(literal 1/2 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 (exp.f64 #s(literal 1 binary64))) (log.f64 (atan.f64 (/.f64 y x)))))
(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)))
(atan.f64 (/.f64 y x))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(atan.f64 (/.f64 y x))
(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))))
(atan.f64 (/.f64 y x))
(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))))
(atan.f64 (/.f64 y x))
(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))))))
(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))))
(atan.f64 (/.f64 y x))
(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))))
(atan.f64 (/.f64 y x))
(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))))))
(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))))
(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 (sqrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 1 binary64))))
(atan.f64 (/.f64 y x))

eval54.0ms (3%)

Compiler: Compiled 4669 to 1821 computations (61% saved)

prune306.0ms (16.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	356	0	356
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	356	3	359

Accuracy

100.0%

Counts

359 → 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)

regimes6.0ms (0.3%)

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:

1.0ms	x
1.0ms	y
1.0ms	(/.f64 y x)
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))

soundness3.0ms (0.2%)

Stop Event

1×

done

Compiler

Compiled 6 to 4 computations (33.3% saved)

preprocess25.0ms (1.4%)

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

bug329 (missed optimization)

analyze10.0ms (0.6%)

sample605.0ms (33.4%)

preprocess43.0ms (2.4%)

explain40.0ms (2.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize17.0ms (1%)

series1.0ms (0.1%)

rewrite170.0ms (9.4%)

simplify58.0ms (3.2%)

eval5.0ms (0.3%)

prune6.0ms (0.3%)

localize49.0ms (2.7%)

series121.0ms (6.7%)

rewrite114.0ms (6.3%)

simplify178.0ms (9.8%)

eval54.0ms (3%)

prune306.0ms (16.9%)

regimes6.0ms (0.3%)

simplify2.0ms (0.1%)

soundness3.0ms (0.2%)

preprocess25.0ms (1.4%)

end0.0ms (0%)

Profiling