bug329 (missed optimization)

Time bar (total: 1.4s)

analyze11.0ms (0.7%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
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 (32.4% of total)
ival->=: 1.0ms (32.4% of total)
ival-atan: 1.0ms (32.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample878.0ms (61%)

Results
697.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 243.0ms
ival-div: 109.0ms (44.9% of total)
ival-atan: 68.0ms (28% of total)
ival->=: 55.0ms (22.6% of total)
const: 8.0ms (3.3% of total)
backward-pass: 3.0ms (1.2% of total)
Bogosity

preprocess14.0ms (1%)

Algorithm
2×egg-herbie
Rules
60×sum3-define
36×fma-define
30×sub-neg
20×fmsub-define
20×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01430
12530
23730
34730
46730
58730
611030
716030
816530
916730
044
044
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(atan (/ y x))
Outputs
(atan (/ y x))
(atan.f64 (/.f64 y x))
Call 2
Inputs
(atan (/ y x))
(atan (/ y (neg x)))
(atan (/ (neg y) x))
(neg (atan (/ y (neg x))))
(neg (atan (/ (neg y) x)))
(atan (/ x y))
Outputs
(atan (/ y x))
(atan (/ y (neg x)))
(atan (/ (neg y) x))
(atan (/ y (neg x)))
(neg (atan (/ y (neg x))))
(neg (atan (/ (neg y) x)))
(neg (atan (/ y (neg x))))
(atan (/ x y))

explain57.0ms (4%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(atan.f64 (/.f64 y x))
00-0-y
00-0-(/.f64 y x)
Results
45.0ms512×0valid
Compiler

Compiled 30 to 14 computations (53.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-div: 24.0ms (85.6% of total)
ival-atan: 3.0ms (10.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(atan.f64 (/.f64 y x))
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify3.0ms (0.2%)

Algorithm
1×egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 y x)
✓cost-diff0
(atan.f64 (/.f64 y x))
Rules
2×atan-lowering-atan.f32
2×atan-lowering-atan.f64
2×/-lowering-/.f32
2×/-lowering-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049
049
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(atan (/ y x))
(/ y x)
y
x
Outputs
(atan (/ y x))
(atan.f64 (/.f64 y x))
(/ y x)
(/.f64 y x)
y
x

localize26.0ms (1.8%)

Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 y x)
✓accuracy100.0%
(atan.f64 (/.f64 y x))
Results
20.0ms256×0valid
Compiler

Compiled 12 to 5 computations (58.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 2.0ms (48% of total)
ival-atan: 2.0ms (48% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series3.0ms (0.2%)

Counts
2 → 48
Calls
Call 1
Inputs
#<alt (atan (/ y x))>
#<alt (/ y x)>
Outputs
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
Calls

12 calls:

TimeVariablePointExpression
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
@-inf
(/ y x)

rewrite80.0ms (5.6%)

Algorithm
1×batch-egg-rewrite
Rules
522×*-lowering-*.f32
522×*-lowering-*.f64
470×/-lowering-/.f32
470×/-lowering-/.f64
136×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047
1127
2497
32277
012347
Stop Event
1×iter limit
1×iter limit
1×node limit
Counts
2 → 61
Calls
Call 1
Inputs
(atan (/ y x))
(/ y x)
Outputs
(-.f64 #s(literal 0 binary64) (atan.f64 (/.f64 y (-.f64 #s(literal 0 binary64) x))))
(atan.f64 (/.f64 y x))
(neg.f64 (atan.f64 (/.f64 y (-.f64 #s(literal 0 binary64) x))))
(*.f64 #s(literal -1 binary64) (atan.f64 (/.f64 y (-.f64 #s(literal 0 binary64) x))))
(+.f64 #s(literal 0 binary64) (/.f64 y x))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64)) (/.f64 y x))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 x y))))
(-.f64 #s(literal 0 binary64) (/.f64 y (-.f64 #s(literal 0 binary64) x)))
(neg.f64 (/.f64 y (-.f64 #s(literal 0 binary64) x)))
(/.f64 y x)
(/.f64 (/.f64 y x) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x y)))
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) y))
(/.f64 (/.f64 y (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 y y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (-.f64 #s(literal 0 binary64) x) y))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x y))) (-.f64 #s(literal 0 binary64) x)) (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (/.f64 x y))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) y)) (*.f64 x x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) y))) (*.f64 (-.f64 #s(literal 0 binary64) x) x))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (*.f64 (*.f64 y y) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) #s(literal -1 binary64)) (*.f64 (*.f64 y y) x))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) #s(literal 1 binary64)) (*.f64 y (-.f64 #s(literal 0 binary64) x)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) #s(literal -1 binary64)) (*.f64 y x))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))) (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 y y)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y))) (*.f64 (-.f64 #s(literal 0 binary64) x) y))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))) (*.f64 x (*.f64 y y)))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y))) (*.f64 x y))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 y (-.f64 #s(literal 0 binary64) x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (/.f64 y (-.f64 #s(literal 0 binary64) x)) (/.f64 y (-.f64 #s(literal 0 binary64) x))) (*.f64 #s(literal 0 binary64) (/.f64 y (-.f64 #s(literal 0 binary64) x))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y (-.f64 #s(literal 0 binary64) x)) (/.f64 y (-.f64 #s(literal 0 binary64) x)))) (/.f64 y (-.f64 #s(literal 0 binary64) x)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))) (*.f64 y y))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 y y))) y)
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal -1 binary64) x)) (*.f64 y y))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) x)) y)
(pow.f64 (/.f64 y x) #s(literal 1 binary64))
(pow.f64 (/.f64 x y) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 x y))) #s(literal -1 binary64))
(*.f64 y (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 y x) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 y x))
(*.f64 (/.f64 #s(literal 1 binary64) x) y)
(*.f64 #s(literal -1 binary64) (/.f64 y (-.f64 #s(literal 0 binary64) x)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 0 binary64) y))
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))
(*.f64 (/.f64 y (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64))
(*.f64 (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 1/2 binary64))) (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x x))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 x x))) x)

simplify13.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
2×atan-lowering-atan.f32
2×atan-lowering-atan.f64
2×/-lowering-/.f32
2×/-lowering-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04168
04168
Stop Event
1×iter limit
1×saturated
Counts
48 → 48
Calls
Call 1
Inputs
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
Outputs
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)

eval10.0ms (0.7%)

Compiler

Compiled 864 to 195 computations (77.4% saved)

prune9.0ms (0.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1081109
Fresh000
Picked011
Done000
Total1082110
Accuracy
100.0%
Counts
110 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(atan.f64 (/.f64 y x))
▶99.9%
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y))
Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify4.0ms (0.3%)

Algorithm
1×egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) x) y)
✓cost-diff128
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y))
Rules
16×*-lowering-*.f32
16×*-lowering-*.f64
6×associate-*r*
4×*-commutative
4×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0614
11212
21612
32312
42312
02312
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(atan (* (/ 1 x) y))
(* (/ 1 x) y)
(/ 1 x)
1
x
y
Outputs
(atan (* (/ 1 x) y))
(atan.f64 (/.f64 y x))
(* (/ 1 x) y)
(/.f64 y x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
y

localize24.0ms (1.6%)

Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
✓accuracy100.0%
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y))
✓accuracy99.7%
(*.f64 (/.f64 #s(literal 1 binary64) x) y)
Results
17.0ms256×0valid
Compiler

Compiled 20 to 7 computations (65% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 2.0ms (31% of total)
ival-mult: 2.0ms (31% of total)
ival-atan: 2.0ms (31% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series1.0ms (0.1%)

Counts
3 → 60
Calls
Call 1
Inputs
#<alt (atan (* (/ 1 x) y))>
#<alt (* (/ 1 x) y)>
#<alt (/ 1 x)>
Outputs
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
Calls

15 calls:

TimeVariablePointExpression
0.0ms
x
@0
(/ 1 x)
0.0ms
x
@-inf
(/ 1 x)
0.0ms
y
@0
(* (/ 1 x) y)
0.0ms
x
@-inf
(atan (* (/ 1 x) y))
0.0ms
x
@inf
(atan (* (/ 1 x) y))

rewrite161.0ms (11.2%)

Algorithm
1×batch-egg-rewrite
Rules
2248×*-lowering-*.f32
2248×*-lowering-*.f64
1684×/-lowering-/.f32
1684×/-lowering-/.f64
644×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0611
1209
2679
32159
48899
080729
Stop Event
1×iter limit
1×node limit
Counts
3 → 273
Calls
Call 1
Inputs
(atan (* (/ 1 x) y))
(* (/ 1 x) y)
(/ 1 x)
Outputs
(-.f64 #s(literal 0 binary64) (atan.f64 (/.f64 y x)))
(atan.f64 (/.f64 y x))
(neg.f64 (atan.f64 (/.f64 y x)))
(*.f64 #s(literal -1 binary64) (atan.f64 (/.f64 y x)))
(+.f64 #s(literal 0 binary64) (/.f64 y x))
(+.f64 (/.f64 y x) (*.f64 (/.f64 y (*.f64 x (*.f64 x x))) #s(literal 0 binary64)))
(+.f64 (/.f64 y x) (*.f64 (/.f64 y (*.f64 x x)) #s(literal 0 binary64)))
(+.f64 (/.f64 y x) (*.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x (*.f64 x x)))))
(+.f64 (/.f64 y x) (*.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x x))))
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64)) (/.f64 y x))
(+.f64 (*.f64 (/.f64 y (*.f64 x (*.f64 x x))) #s(literal 0 binary64)) (/.f64 y x))
(+.f64 (*.f64 (/.f64 y (*.f64 x x)) #s(literal 0 binary64)) (/.f64 y x))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x (*.f64 x x)))) (/.f64 y x))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x x))) (/.f64 y x))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 x y))))
(-.f64 #s(literal 0 binary64) (/.f64 y x))
(neg.f64 (/.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y))
(/.f64 y x)
(/.f64 #s(literal -1 binary64) (/.f64 x y))
(/.f64 (-.f64 #s(literal 0 binary64) y) x)
(/.f64 (/.f64 y x) #s(literal 1 binary64))
(/.f64 (/.f64 y x) #s(literal -1 binary64))
(/.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))) (sqrt.f64 x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 y y)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 x y))
(/.f64 (/.f64 y (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (/.f64 y (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (*.f64 y (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64)))) (sqrt.f64 x))
(/.f64 (*.f64 y (*.f64 x x)) (*.f64 x (*.f64 x x)))
(/.f64 (*.f64 y x) (*.f64 x x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) (*.f64 x x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y x)) (*.f64 x x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (/.f64 y x))) x)
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 x y)) x) (*.f64 x (/.f64 x y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (/.f64 #s(literal 1 binary64) x))) (/.f64 x y))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (*.f64 #s(literal 0 binary64) (/.f64 y x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 y x))
(/.f64 (*.f64 (/.f64 y (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (*.f64 (/.f64 y (*.f64 x (*.f64 x x))) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (/.f64 y (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (*.f64 (/.f64 y (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (/.f64 y (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (/.f64 y (*.f64 x x)) (sqrt.f64 x)) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))) (*.f64 y y))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 y y))) y)
(/.f64 (*.f64 (/.f64 y (*.f64 x (*.f64 x x))) (sqrt.f64 x)) (pow.f64 x #s(literal -3/2 binary64)))
(/.f64 (*.f64 (/.f64 y (*.f64 x (*.f64 x x))) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (*.f64 (/.f64 y (*.f64 x (*.f64 x x))) (pow.f64 x #s(literal 3/2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (*.f64 (/.f64 y (*.f64 x (*.f64 x x))) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal -3/2 binary64)))
(/.f64 (*.f64 (/.f64 y (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 (*.f64 (/.f64 y (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x))
(/.f64 (*.f64 (/.f64 y (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 x x))
(/.f64 (*.f64 (/.f64 y (*.f64 x x)) (*.f64 x x)) x)
(/.f64 (*.f64 (/.f64 y (*.f64 x x)) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (*.f64 (/.f64 y (*.f64 x x)) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) y) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) x)) (*.f64 y y))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x)) y)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal 1 binary64) x))
(pow.f64 (/.f64 x y) #s(literal -1 binary64))
(pow.f64 (/.f64 y x) #s(literal 1 binary64))
(pow.f64 (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 x y))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 y x))
(*.f64 x (/.f64 y (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) y)
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) y))
(*.f64 y (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -1 binary64) (/.f64 y x))
(*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 y (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 y (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64)))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) y)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))) y))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 x x) (/.f64 y (*.f64 x (*.f64 x x))))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (*.f64 y (pow.f64 x #s(literal -3/4 binary64))))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (/.f64 (pow.f64 x #s(literal -3/4 binary64)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (neg.f64 (*.f64 y (pow.f64 x #s(literal -3/4 binary64)))))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (*.f64 (pow.f64 x #s(literal -3/4 binary64)) (-.f64 #s(literal 0 binary64) y)))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (*.f64 (*.f64 y (pow.f64 x #s(literal -3/4 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (/.f64 (*.f64 y (pow.f64 x #s(literal -3/4 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (/.f64 (*.f64 y (pow.f64 x #s(literal -3/4 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 y x) #s(literal 1 binary64))
(*.f64 (/.f64 y x) #s(literal -1 binary64))
(*.f64 (/.f64 y x) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)))
(*.f64 (/.f64 y x) (pow.f64 #s(literal -1 binary64) #s(literal -1/4 binary64)))
(*.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (/.f64 y x))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/4 binary64)) (/.f64 y x))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 y x))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 x (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (/.f64 y x) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/8 binary64)) (*.f64 (pow.f64 x #s(literal -1/8 binary64)) (*.f64 y (pow.f64 x #s(literal -3/4 binary64)))))
(*.f64 (pow.f64 x #s(literal -3/4 binary64)) (*.f64 y (pow.f64 x #s(literal -1/4 binary64))))
(*.f64 (pow.f64 x #s(literal -3/4 binary64)) (*.f64 (pow.f64 x #s(literal -1/4 binary64)) (-.f64 #s(literal 0 binary64) y)))
(*.f64 (*.f64 y (pow.f64 x #s(literal -3/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)))
(*.f64 (*.f64 y (pow.f64 x #s(literal -3/4 binary64))) (neg.f64 (pow.f64 x #s(literal -1/4 binary64))))
(*.f64 (*.f64 y (pow.f64 x #s(literal -3/4 binary64))) (/.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 y (pow.f64 x #s(literal -3/4 binary64))) (*.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 y (pow.f64 x #s(literal -3/4 binary64))) (/.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 y (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -3/4 binary64)))
(*.f64 (/.f64 y (*.f64 x (*.f64 x x))) (*.f64 x x))
(*.f64 (/.f64 y (*.f64 x x)) x)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) y))
(*.f64 (*.f64 y (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64)))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (*.f64 y (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (*.f64 y (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64)))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 y (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 y (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) y)))
(*.f64 (neg.f64 (pow.f64 x #s(literal -1/4 binary64))) (*.f64 y (pow.f64 x #s(literal -3/4 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal -3/4 binary64)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (pow.f64 x #s(literal -3/4 binary64)) #s(literal 1 binary64)) (*.f64 y (pow.f64 x #s(literal -1/4 binary64))))
(*.f64 (neg.f64 (pow.f64 (/.f64 y x) #s(literal 1/2 binary64))) (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (*.f64 y (pow.f64 x #s(literal -3/4 binary64)))) (pow.f64 x #s(literal -1/4 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -3/4 binary64)))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/4 binary64))) (*.f64 y (pow.f64 x #s(literal -3/4 binary64))))
(*.f64 (*.f64 (*.f64 y (pow.f64 x #s(literal -3/4 binary64))) (pow.f64 x #s(literal -1/8 binary64))) (pow.f64 x #s(literal -1/8 binary64)))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y x) #s(literal 1/2 binary64))) (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal -1 binary64) (*.f64 y (pow.f64 x #s(literal -3/4 binary64)))) (pow.f64 x #s(literal -1/4 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (pow.f64 x #s(literal -3/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)))
(*.f64 (*.f64 (/.f64 y (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (*.f64 x x))
(*.f64 (*.f64 (/.f64 y (*.f64 x (*.f64 x x))) x) x)
(*.f64 (*.f64 (/.f64 y (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (*.f64 x x))
(*.f64 (*.f64 (/.f64 y (*.f64 x x)) #s(literal 1 binary64)) x)
(*.f64 (*.f64 (/.f64 y (*.f64 x x)) #s(literal -1 binary64)) x)
(*.f64 (*.f64 (/.f64 y (*.f64 x x)) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 (*.f64 y (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64)))) (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)))
(*.f64 (*.f64 (*.f64 y (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64)))) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 x) y)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (/.f64 y (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 0 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) x))
(exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (log.f64 x)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x))
(neg.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(/.f64 x (*.f64 x x))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) x)
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))
(/.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)))
(/.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (pow.f64 x #s(literal -3/2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 3/2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (*.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64)))))
(/.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (*.f64 x x) (pow.f64 x #s(literal -1/4 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))) (sqrt.f64 x))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 x)))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))) x)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (sqrt.f64 x)) (pow.f64 x #s(literal -3/2 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal -3/2 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x)) x)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)))
(pow.f64 x #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 x))
(pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/4 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) (log.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 x (/.f64 x (*.f64 x (*.f64 x x))))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 #s(literal -1 binary64) #s(literal -1/4 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64)))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -3/4 binary64)))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (/.f64 (pow.f64 x #s(literal -1/4 binary64)) (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (/.f64 (pow.f64 x #s(literal -3/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (neg.f64 (pow.f64 x #s(literal -3/4 binary64))))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (*.f64 (pow.f64 x #s(literal -3/4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (*.f64 (pow.f64 x #s(literal -1/4 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64)))))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (/.f64 (pow.f64 x #s(literal -3/4 binary64)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (*.f64 x x)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) (sqrt.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)
(*.f64 (pow.f64 x #s(literal -1/8 binary64)) (*.f64 (pow.f64 x #s(literal -1/8 binary64)) (pow.f64 x #s(literal -3/4 binary64))))
(*.f64 (pow.f64 x #s(literal -3/4 binary64)) (pow.f64 x #s(literal -1/4 binary64)))
(*.f64 (pow.f64 x #s(literal -3/4 binary64)) (neg.f64 (pow.f64 x #s(literal -1/4 binary64))))
(*.f64 (pow.f64 x #s(literal -3/4 binary64)) (/.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal -3/4 binary64)) (*.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -3/4 binary64)) (/.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 x x))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal -3/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -3/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (*.f64 x x))
(*.f64 (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (neg.f64 (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -3/4 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal -1/4 binary64)) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (log.f64 x) #s(literal 2 binary64))))
(*.f64 (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64)))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal -3/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal -3/4 binary64)) (pow.f64 x #s(literal -1/8 binary64))) (pow.f64 x #s(literal -1/8 binary64)))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -3/4 binary64)))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)))
(*.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(*.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)))
(*.f64 (/.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x))))
(*.f64 (/.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x))

simplify11.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
4×/-lowering-/.f32
4×/-lowering-/.f64
2×atan-lowering-atan.f32
2×atan-lowering-atan.f64
2×1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06192
19192
09192
Stop Event
1×iter limit
1×saturated
Counts
60 → 60
Calls
Call 1
Inputs
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
Outputs
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)

eval37.0ms (2.6%)

Compiler

Compiled 3581 to 866 computations (75.8% saved)

prune47.0ms (3.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New3330333
Fresh000
Picked011
Done011
Total3332335
Accuracy
100.0%
Counts
335 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(atan.f64 (/.f64 y x))
✓99.9%
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y))
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes6.0ms (0.4%)

Accuracy

Total -0.1b remaining (-2400%)

Threshold costs -0.1b (-2400%)

Counts
2 → 1
Calls
Call 1
Inputs
(atan.f64 (/.f64 y x))
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y))
Outputs
(atan.f64 (/.f64 y x))
Calls

4 calls:

1.0ms
y
1.0ms
(/.f64 y x)
1.0ms
x
1.0ms
(atan.f64 (/.f64 y x))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(atan.f64 (/.f64 y x))
100.0%1(/.f64 y x)
Compiler

Compiled 17 to 11 computations (35.3% saved)

simplify8.0ms (0.6%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044
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)

preprocess34.0ms (2.3%)

Compiler

Compiled 34 to 22 computations (35.3% saved)

end0.0ms (0%)

Profiling

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