arccos

Time bar (total: 12.2s)

analyze4.0ms (0%)

Memory
8.3MiB live, 8.3MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
0%0%100%0%0%0%0%3
33.3%25%50%0%0%25%0%4
60%37.5%25%0%0%37.5%0%5
77.8%43.7%12.5%0%0%43.7%0%6
88.2%46.9%6.2%0%0%46.9%0%7
93.9%48.4%3.1%0%0%48.4%0%8
96.9%49.2%1.6%0%0%49.2%0%9
98.4%49.6%0.8%0%0%49.6%0%10
99.2%49.8%0.4%0%0%49.8%0%11
99.6%49.9%0.2%0%0%49.9%0%12
Compiler

Compiled 13 to 11 computations (15.4% saved)

sample853.0ms (7%)

Memory
3.8MiB live, 1 817.1MiB allocated
Samples
612.0ms8 256×0valid
1.0ms26×0invalid
Precisions
Click to see histograms. Total time spent on operations: 458.0ms
ival-sqrt: 111.0ms (24.2% of total)
ival-mult: 81.0ms (17.7% of total)
ival-atan: 75.0ms (16.4% of total)
ival-sub: 73.0ms (15.9% of total)
ival-div: 61.0ms (13.3% of total)
ival-add: 40.0ms (8.7% of total)
exact: 7.0ms (1.5% of total)
ival-true: 6.0ms (1.3% of total)
ival-assert: 3.0ms (0.7% of total)
Bogosity

preprocess44.0ms (0.4%)

Memory
-15.6MiB live, 64.0MiB allocated
Algorithm
egg-herbie
Rules
208×accelerator-lowering-fma.f32
208×accelerator-lowering-fma.f64
160×times-frac
136×associate-*l*
132×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01735
14233
27133
313433
425033
552733
6100033
7104033
8104833
0911
11811
22411
33511
45811
59211
612711
720011
832011
948711
1051911
051911
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))
Outputs
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
Call 2
Inputs
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))
(* 2 (atan (sqrt (/ (- 1 (neg x)) (+ 1 (neg x))))))
(neg (* 2 (atan (sqrt (/ (- 1 (neg x)) (+ 1 (neg x)))))))
Outputs
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))
(* 2 (atan (sqrt (/ (- 1 (neg x)) (+ 1 (neg x))))))
(* 2 (atan (sqrt (/ (+ 1 x) (- 1 x)))))
(neg (* 2 (atan (sqrt (/ (- 1 (neg x)) (+ 1 (neg x)))))))
(* (atan (sqrt (/ (+ 1 x) (- 1 x)))) -2)

explain105.0ms (0.9%)

Memory
17.2MiB live, 174.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
00-0-#s(literal 1 binary64)
00-0-(-.f64 #s(literal 1 binary64) x)
00-0-(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
00-0-(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))
00-0-(+.f64 #s(literal 1 binary64) x)
00-0-(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
00-0-#s(literal 2 binary64)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
46.0ms512×0valid
Compiler

Compiled 116 to 40 computations (65.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-div: 14.0ms (43.4% of total)
ival-atan: 4.0ms (12.4% of total)
ival-sqrt: 4.0ms (12.4% of total)
ival-add: 3.0ms (9.3% of total)
ival-mult: 3.0ms (9.3% of total)
ival-sub: 3.0ms (9.3% of total)
exact: 1.0ms (3.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Compiler

Compiled 12 to 9 computations (25% saved)

prune1.0ms (0%)

Memory
2.7MiB live, 2.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
Compiler

Compiled 12 to 9 computations (25% saved)

simplify19.0ms (0.2%)

Memory
-7.1MiB live, 30.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))
cost-diff0
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
cost-diff0
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
cost-diff0
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
Rules
208×accelerator-lowering-fma.f32
208×accelerator-lowering-fma.f64
132×*-lowering-*.f32
132×*-lowering-*.f64
74×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0944
11844
22444
33544
45844
59244
612744
720044
832044
948744
1051944
051944
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))
2
(atan (sqrt (/ (- 1 x) (+ 1 x))))
(sqrt (/ (- 1 x) (+ 1 x)))
(/ (- 1 x) (+ 1 x))
(- 1 x)
1
x
(+ 1 x)
Outputs
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
2
#s(literal 2 binary64)
(atan (sqrt (/ (- 1 x) (+ 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(sqrt (/ (- 1 x) (+ 1 x)))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
(/ (- 1 x) (+ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)

localize31.0ms (0.3%)

Memory
15.9MiB live, 53.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
accuracy100.0%
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
accuracy100.0%
(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))
accuracy100.0%
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
Samples
20.0ms256×0valid
Compiler

Compiled 46 to 11 computations (76.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-div: 2.0ms (18.5% of total)
ival-mult: 2.0ms (18.5% of total)
ival-atan: 2.0ms (18.5% of total)
ival-sub: 2.0ms (18.5% of total)
ival-sqrt: 2.0ms (18.5% of total)
ival-add: 1.0ms (9.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series4.0ms (0%)

Memory
7.4MiB live, 7.4MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#<alt (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))>
#<alt (atan (sqrt (/ (- 1 x) (+ 1 x))))>
#<alt (sqrt (/ (- 1 x) (+ 1 x)))>
#<alt (/ (- 1 x) (+ 1 x))>
Outputs
#<alt (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))>
#<alt (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))>
#<alt (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))>
#<alt (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))>
#<alt (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))>
#<alt (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))>
#<alt (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))>
#<alt (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))>
#<alt (* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))))>
#<alt (* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))))>
#<alt (* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))))>
#<alt (* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))))>
#<alt (atan (sqrt (/ (- 1 x) (+ 1 x))))>
#<alt (atan (sqrt (/ (- 1 x) (+ 1 x))))>
#<alt (atan (sqrt (/ (- 1 x) (+ 1 x))))>
#<alt (atan (sqrt (/ (- 1 x) (+ 1 x))))>
#<alt (atan (sqrt (/ (- 1 x) (+ 1 x))))>
#<alt (atan (sqrt (/ (- 1 x) (+ 1 x))))>
#<alt (atan (sqrt (/ (- 1 x) (+ 1 x))))>
#<alt (atan (sqrt (/ (- 1 x) (+ 1 x))))>
#<alt (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))>
#<alt (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))>
#<alt (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))>
#<alt (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (/ 1 (* x (sqrt -1))))>
#<alt (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))>
#<alt (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1))))))>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (/ 1 (* x (sqrt -1))))>
#<alt (+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x)))>
#<alt (+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x)))>
#<alt 1>
#<alt (+ 1 (* -2 x))>
#<alt (+ 1 (* x (- (* 2 x) 2)))>
#<alt (+ 1 (* x (- (* x (+ 2 (* -2 x))) 2)))>
#<alt -1>
#<alt (- (* 2 (/ 1 x)) 1)>
#<alt (- (* 2 (/ 1 x)) (+ 1 (/ 2 (pow x 2))))>
#<alt (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2))))>
#<alt -1>
#<alt (- (* 2 (/ 1 x)) 1)>
#<alt (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)>
#<alt (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)>
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(sqrt (/ (- 1 x) (+ 1 x)))
1.0ms
x
@-inf
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))
0.0ms
x
@-inf
(sqrt (/ (- 1 x) (+ 1 x)))
0.0ms
x
@inf
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))
0.0ms
x
@0
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))

rewrite184.0ms (1.5%)

Memory
-28.3MiB live, 297.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
2 152×accelerator-lowering-fma.f32
2 152×accelerator-lowering-fma.f64
2 042×*-lowering-*.f32
2 042×*-lowering-*.f64
1 870×/-lowering-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0936
14636
233336
345918
098298
Stop Event
iter limit
node limit
Counts
4 → 7
Calls
Call 1
Inputs
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))
(atan (sqrt (/ (- 1 x) (+ 1 x))))
(sqrt (/ (- 1 x) (+ 1 x)))
(/ (- 1 x) (+ 1 x))
Outputs
(*.f64 #s(literal 2 binary64) (atan.f64 #s(literal 1 binary64)))
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64))
(atan.f64 #s(literal 1 binary64))
(neg.f64 (atan.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))))
(neg.f64 (atan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))
#s(literal 1 binary64)
#s(literal 1 binary64)

simplify333.0ms (2.7%)

Memory
37.0MiB live, 464.3MiB allocated
Algorithm
egg-herbie
Rules
10 954×accelerator-lowering-fma.f32
10 954×accelerator-lowering-fma.f64
2 906×*-lowering-*.f32
2 906×*-lowering-*.f64
1 802×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0107541
1276480
2764466
32114454
46114448
08084437
Stop Event
iter limit
node limit
Counts
48 → 48
Calls
Call 1
Inputs
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))))
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))))
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))))
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))))
(atan (sqrt (/ (- 1 x) (+ 1 x))))
(atan (sqrt (/ (- 1 x) (+ 1 x))))
(atan (sqrt (/ (- 1 x) (+ 1 x))))
(atan (sqrt (/ (- 1 x) (+ 1 x))))
(atan (sqrt (/ (- 1 x) (+ 1 x))))
(atan (sqrt (/ (- 1 x) (+ 1 x))))
(atan (sqrt (/ (- 1 x) (+ 1 x))))
(atan (sqrt (/ (- 1 x) (+ 1 x))))
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))
(sqrt -1)
(+ (sqrt -1) (/ 1 (* x (sqrt -1))))
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1))))))
(sqrt -1)
(+ (sqrt -1) (/ 1 (* x (sqrt -1))))
(+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x)))
(+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x)))
1
(+ 1 (* -2 x))
(+ 1 (* x (- (* 2 x) 2)))
(+ 1 (* x (- (* x (+ 2 (* -2 x))) 2)))
-1
(- (* 2 (/ 1 x)) 1)
(- (* 2 (/ 1 x)) (+ 1 (/ 2 (pow x 2))))
(- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2))))
-1
(- (* 2 (/ 1 x)) 1)
(- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)
Outputs
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(atan (sqrt (/ (- 1 x) (+ 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(atan (sqrt (/ (- 1 x) (+ 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(atan (sqrt (/ (- 1 x) (+ 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(atan (sqrt (/ (- 1 x) (+ 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(atan (sqrt (/ (- 1 x) (+ 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(atan (sqrt (/ (- 1 x) (+ 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(atan (sqrt (/ (- 1 x) (+ 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(atan (sqrt (/ (- 1 x) (+ 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64))))))
(sqrt -1)
(sqrt.f64 #s(literal -1 binary64))
(+ (sqrt -1) (/ 1 (* x (sqrt -1))))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))
(-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) x))
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1))))))
(+.f64 (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) x)) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))) (*.f64 x x)))
(sqrt -1)
(sqrt.f64 #s(literal -1 binary64))
(+ (sqrt -1) (/ 1 (* x (sqrt -1))))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))
(+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x)))
(-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) x))
(+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x)))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) x)) x))
1
#s(literal 1 binary64)
(+ 1 (* -2 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -2 binary64)))
(+ 1 (* x (- (* 2 x) 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) x))))
(+ 1 (* x (- (* x (+ 2 (* -2 x))) 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal -2 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) x))))))
-1
#s(literal -1 binary64)
(- (* 2 (/ 1 x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))
(- (* 2 (/ 1 x)) (+ 1 (/ 2 (pow x 2))))
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x))
(- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2))))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x))
-1
#s(literal -1 binary64)
(- (* 2 (/ 1 x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))
(- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x))
(- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x))

eval7.0ms (0.1%)

Memory
-25.3MiB live, 13.1MiB allocated
Compiler

Compiled 614 to 112 computations (81.8% saved)

prune4.0ms (0%)

Memory
11.4MiB live, 11.4MiB allocated
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New51455
Fresh000
Picked011
Done000
Total51556
Accuracy
100.0%
Counts
56 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.5%
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64))
99.0%
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
99.5%
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64))))))))
99.4%
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
100.0%
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
Compiler

Compiled 54 to 44 computations (18.5% saved)

simplify108.0ms (0.9%)

Memory
20.4MiB live, 138.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
cost-diff0
(atan.f64 #s(literal 1 binary64))
cost-diff0
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64))
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
(atan.f64 (-.f64 #s(literal 1 binary64) x))
cost-diff0
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
cost-diff0
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64)))))
cost-diff0
(atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64)))))))
cost-diff0
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64))))))))
cost-diff128
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64))))))
cost-diff0
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
cost-diff0
(atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
cost-diff0
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
Rules
2 760×accelerator-lowering-fma.f32
2 760×accelerator-lowering-fma.f64
760×*-lowering-*.f32
760×*-lowering-*.f64
448×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022156
150156
2104150
3196150
4473150
51083150
61851150
72188150
82269150
92269150
02269134
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* 2 (atan (+ 1 (* x (+ -1 (* x 1/2))))))
2
(atan (+ 1 (* x (+ -1 (* x 1/2)))))
(+ 1 (* x (+ -1 (* x 1/2))))
1
(* x (+ -1 (* x 1/2)))
x
(+ -1 (* x 1/2))
-1
(* x 1/2)
1/2
(* 2 (atan (+ 1 (* x (+ -1 (* (- 1 x) (* x 1/2)))))))
2
(atan (+ 1 (* x (+ -1 (* (- 1 x) (* x 1/2))))))
(+ 1 (* x (+ -1 (* (- 1 x) (* x 1/2)))))
1
(* x (+ -1 (* (- 1 x) (* x 1/2))))
x
(+ -1 (* (- 1 x) (* x 1/2)))
-1
(* (- 1 x) (* x 1/2))
(- 1 x)
(* x 1/2)
1/2
(* 2 (atan (- 1 x)))
2
(atan (- 1 x))
(- 1 x)
1
x
(* (atan 1) 2)
(atan 1)
1
2
Outputs
(* 2 (atan (+ 1 (* x (+ -1 (* x 1/2))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
2
#s(literal 2 binary64)
(atan (+ 1 (* x (+ -1 (* x 1/2)))))
(atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(+ 1 (* x (+ -1 (* x 1/2))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
1
#s(literal 1 binary64)
(* x (+ -1 (* x 1/2)))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))
x
(+ -1 (* x 1/2))
(+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))
-1
#s(literal -1 binary64)
(* x 1/2)
(*.f64 x #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(* 2 (atan (+ 1 (* x (+ -1 (* (- 1 x) (* x 1/2)))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))
2
#s(literal 2 binary64)
(atan (+ 1 (* x (+ -1 (* (- 1 x) (* x 1/2))))))
(atan.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))
(+ 1 (* x (+ -1 (* (- 1 x) (* x 1/2)))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
1
#s(literal 1 binary64)
(* x (+ -1 (* (- 1 x) (* x 1/2))))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x)))))
x
(+ -1 (* (- 1 x) (* x 1/2)))
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x))))
-1
#s(literal -1 binary64)
(* (- 1 x) (* x 1/2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x)))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
(* x 1/2)
(*.f64 x #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(* 2 (atan (- 1 x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
2
#s(literal 2 binary64)
(atan (- 1 x))
(atan.f64 (-.f64 #s(literal 1 binary64) x))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(* (atan 1) 2)
(*.f64 #s(literal 2 binary64) (atan.f64 #s(literal 1 binary64)))
(atan 1)
(atan.f64 #s(literal 1 binary64))
1
#s(literal 1 binary64)
2
#s(literal 2 binary64)

localize258.0ms (2.1%)

Memory
-29.2MiB live, 131.0MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64))
accuracy100.0%
(atan.f64 #s(literal 1 binary64))
accuracy100.0%
(-.f64 #s(literal 1 binary64) x)
accuracy100.0%
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
accuracy100.0%
(atan.f64 (-.f64 #s(literal 1 binary64) x))
accuracy100.0%
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64))))))))
accuracy100.0%
(atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64)))))))
accuracy100.0%
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64)))))
accuracy100.0%
(*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64)))
accuracy100.0%
(*.f64 x #s(literal 1/2 binary64))
accuracy100.0%
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
accuracy100.0%
(atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
accuracy100.0%
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))
Samples
120.0ms256×0valid
Compiler

Compiled 158 to 24 computations (84.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 107.0ms
ival-mult: 93.0ms (87.1% of total)
ival-atan: 7.0ms (6.6% of total)
ival-add: 4.0ms (3.7% of total)
ival-sub: 1.0ms (0.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory
13.1MiB live, 13.1MiB allocated
Counts
15 → 156
Calls
Call 1
Inputs
#<alt (* 2 (atan (+ 1 (* x (+ -1 (* x 1/2))))))>
#<alt (atan (+ 1 (* x (+ -1 (* x 1/2)))))>
#<alt (+ 1 (* x (+ -1 (* x 1/2))))>
#<alt (* x (+ -1 (* x 1/2)))>
#<alt (+ 1 (* x (+ -1 (* (- 1 x) (* x 1/2)))))>
#<alt (* 2 (atan (+ 1 (* x (+ -1 (* (- 1 x) (* x 1/2)))))))>
#<alt (atan (+ 1 (* x (+ -1 (* (- 1 x) (* x 1/2))))))>
#<alt (* x (+ -1 (* (- 1 x) (* x 1/2))))>
#<alt (* 2 (atan (- 1 x)))>
#<alt (atan (- 1 x))>
#<alt (- 1 x)>
#<alt (* (atan 1) 2)>
#<alt (atan 1)>
#<alt (* x 1/2)>
#<alt (* (- 1 x) (* x 1/2))>
Outputs
#<alt (* 2 (atan (+ 1 (* x (- (* 1/2 x) 1)))))>
#<alt (* 2 (atan (+ 1 (* x (- (* 1/2 x) 1)))))>
#<alt (* 2 (atan (+ 1 (* x (- (* 1/2 x) 1)))))>
#<alt (* 2 (atan (+ 1 (* x (- (* 1/2 x) 1)))))>
#<alt (* 2 (atan (- (+ 1 (* 1/2 (pow x 2))) x)))>
#<alt (* 2 (atan (- (+ 1 (* 1/2 (pow x 2))) x)))>
#<alt (* 2 (atan (- (+ 1 (* 1/2 (pow x 2))) x)))>
#<alt (* 2 (atan (- (+ 1 (* 1/2 (pow x 2))) x)))>
#<alt (* 2 (atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2))))))>
#<alt (* 2 (atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2))))))>
#<alt (* 2 (atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2))))))>
#<alt (* 2 (atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2))))))>
#<alt (atan (+ 1 (* x (- (* 1/2 x) 1))))>
#<alt (atan (+ 1 (* x (- (* 1/2 x) 1))))>
#<alt (atan (+ 1 (* x (- (* 1/2 x) 1))))>
#<alt (atan (+ 1 (* x (- (* 1/2 x) 1))))>
#<alt (atan (- (+ 1 (* 1/2 (pow x 2))) x))>
#<alt (atan (- (+ 1 (* 1/2 (pow x 2))) x))>
#<alt (atan (- (+ 1 (* 1/2 (pow x 2))) x))>
#<alt (atan (- (+ 1 (* 1/2 (pow x 2))) x))>
#<alt (atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2)))))>
#<alt (atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2)))))>
#<alt (atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2)))))>
#<alt (atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x)))>
#<alt (* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))))>
#<alt (* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))))>
#<alt (* -1 x)>
#<alt (* x (- (* 1/2 x) 1))>
#<alt (* x (- (* 1/2 x) 1))>
#<alt (* x (- (* 1/2 x) 1))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))>
#<alt (* -1/2 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2)))))>
#<alt (* -1/2 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (- 1/2 (/ 1 x)) x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))) x)))))>
#<alt (* 2 (atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1)))))>
#<alt (* 2 (atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1)))))>
#<alt (* 2 (atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1)))))>
#<alt (* 2 (atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1)))))>
#<alt (* 2 (atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x)))>
#<alt (* 2 (atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x)))>
#<alt (* 2 (atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x)))>
#<alt (* 2 (atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x)))>
#<alt (* 2 (atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1)))))>
#<alt (* 2 (atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1)))))>
#<alt (* 2 (atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1)))))>
#<alt (* 2 (atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1)))))>
#<alt (atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1))))>
#<alt (atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1))))>
#<alt (atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1))))>
#<alt (atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1))))>
#<alt (atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x))>
#<alt (atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x))>
#<alt (atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x))>
#<alt (atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x))>
#<alt (atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1))))>
#<alt (atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1))))>
#<alt (atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1))))>
#<alt (atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1))))>
#<alt (* -1 x)>
#<alt (* x (- (* 1/2 x) 1))>
#<alt (* x (- (* x (+ 1/2 (* -1/2 x))) 1))>
#<alt (* x (- (* x (+ 1/2 (* -1/2 x))) 1))>
#<alt (* -1/2 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2)))))>
#<alt (* -1/2 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (- 1/2 (/ 1 x)) x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (- 1/2 (/ 1 x)) x)))))>
#<alt (* 2 (atan (- 1 x)))>
#<alt (* 2 (atan (- 1 x)))>
#<alt (* 2 (atan (- 1 x)))>
#<alt (* 2 (atan (- 1 x)))>
#<alt (* 2 (atan (- 1 x)))>
#<alt (* 2 (atan (- 1 x)))>
#<alt (* 2 (atan (- 1 x)))>
#<alt (* 2 (atan (- 1 x)))>
#<alt (* 2 (atan (+ 1 (* -1 x))))>
#<alt (* 2 (atan (+ 1 (* -1 x))))>
#<alt (* 2 (atan (+ 1 (* -1 x))))>
#<alt (* 2 (atan (+ 1 (* -1 x))))>
#<alt (atan (- 1 x))>
#<alt (atan (- 1 x))>
#<alt (atan (- 1 x))>
#<alt (atan (- 1 x))>
#<alt (atan (- 1 x))>
#<alt (atan (- 1 x))>
#<alt (atan (- 1 x))>
#<alt (atan (- 1 x))>
#<alt (atan (+ 1 (* -1 x)))>
#<alt (atan (+ 1 (* -1 x)))>
#<alt (atan (+ 1 (* -1 x)))>
#<alt (atan (+ 1 (* -1 x)))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/2 x)))>
#<alt (* x (+ 1/2 (* -1/2 x)))>
#<alt (* x (+ 1/2 (* -1/2 x)))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))>
Calls

39 calls:

TimeVariablePointExpression
1.0ms
x
@0
(* x (+ -1 (* (- 1 x) (* x 1/2))))
1.0ms
x
@-inf
(* 2 (atan (+ 1 (* x (+ -1 (* x 1/2))))))
0.0ms
x
@-inf
(* 2 (atan (+ 1 (* x (+ -1 (* (- 1 x) (* x 1/2)))))))
0.0ms
x
@inf
(* 2 (atan (+ 1 (* x (+ -1 (* (- 1 x) (* x 1/2)))))))
0.0ms
x
@inf
(* 2 (atan (+ 1 (* x (+ -1 (* x 1/2))))))

rewrite436.0ms (3.6%)

Memory
-19.8MiB live, 794.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
11 260×accelerator-lowering-fma.f32
11 260×accelerator-lowering-fma.f64
5 630×*-lowering-*.f32
5 630×*-lowering-*.f64
3 280×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022121
1105121
2886115
08449102
Stop Event
iter limit
node limit
Counts
15 → 447
Calls
Call 1
Inputs
(* 2 (atan (+ 1 (* x (+ -1 (* x 1/2))))))
(atan (+ 1 (* x (+ -1 (* x 1/2)))))
(+ 1 (* x (+ -1 (* x 1/2))))
(* x (+ -1 (* x 1/2)))
(+ 1 (* x (+ -1 (* (- 1 x) (* x 1/2)))))
(* 2 (atan (+ 1 (* x (+ -1 (* (- 1 x) (* x 1/2)))))))
(atan (+ 1 (* x (+ -1 (* (- 1 x) (* x 1/2))))))
(* x (+ -1 (* (- 1 x) (* x 1/2))))
(* 2 (atan (- 1 x)))
(atan (- 1 x))
(- 1 x)
(* (atan 1) 2)
(atan 1)
(* x 1/2)
(* (- 1 x) (* x 1/2))
Outputs
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(*.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 2 binary64))
(atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(+.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
(+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) x))
(+.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(+.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (neg.f64 (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) x))
(-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(-.f64 #s(literal 0 binary64) (-.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (-.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (+.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x) (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (neg.f64 (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))))
(fma.f64 x #s(literal -1 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 x #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) x (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) x))
(fma.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) x #s(literal 1 binary64))
(fma.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))) x) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))) x) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(fma.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) x))))) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(fma.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(fma.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) x #s(literal 1 binary64))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64))))))))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)))))))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (+.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))))) (+.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))))) (neg.f64 (+.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))))
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(fma.f64 (*.f64 x #s(literal -1/2 binary64)) x (*.f64 x #s(literal 1/2 binary64)))
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(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)))
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(fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) x) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
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simplify505.0ms (4.1%)

Memory
9.5MiB live, 494.8MiB allocated
Algorithm
egg-herbie
Rules
9 542×accelerator-lowering-fma.f32
9 542×accelerator-lowering-fma.f64
2 256×*-lowering-*.f32
2 256×*-lowering-*.f64
1 284×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0981306
12531290
27071212
322211196
460541196
082501066
Stop Event
iter limit
node limit
Counts
156 → 156
Calls
Call 1
Inputs
(* 2 (atan (+ 1 (* x (- (* 1/2 x) 1)))))
(* 2 (atan (+ 1 (* x (- (* 1/2 x) 1)))))
(* 2 (atan (+ 1 (* x (- (* 1/2 x) 1)))))
(* 2 (atan (+ 1 (* x (- (* 1/2 x) 1)))))
(* 2 (atan (- (+ 1 (* 1/2 (pow x 2))) x)))
(* 2 (atan (- (+ 1 (* 1/2 (pow x 2))) x)))
(* 2 (atan (- (+ 1 (* 1/2 (pow x 2))) x)))
(* 2 (atan (- (+ 1 (* 1/2 (pow x 2))) x)))
(* 2 (atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2))))))
(* 2 (atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2))))))
(* 2 (atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2))))))
(* 2 (atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2))))))
(atan (+ 1 (* x (- (* 1/2 x) 1))))
(atan (+ 1 (* x (- (* 1/2 x) 1))))
(atan (+ 1 (* x (- (* 1/2 x) 1))))
(atan (+ 1 (* x (- (* 1/2 x) 1))))
(atan (- (+ 1 (* 1/2 (pow x 2))) x))
(atan (- (+ 1 (* 1/2 (pow x 2))) x))
(atan (- (+ 1 (* 1/2 (pow x 2))) x))
(atan (- (+ 1 (* 1/2 (pow x 2))) x))
(atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2)))))
(atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2)))))
(atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2)))))
(atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2)))))
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* 1/2 x) 1)))
(* 1/2 (pow x 2))
(* (pow x 2) (- 1/2 (/ 1 x)))
(* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x)))
(* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x)))
(* 1/2 (pow x 2))
(* (pow x 2) (- 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))))
(* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))))
(* -1 x)
(* x (- (* 1/2 x) 1))
(* x (- (* 1/2 x) 1))
(* x (- (* 1/2 x) 1))
(* 1/2 (pow x 2))
(* (pow x 2) (- 1/2 (/ 1 x)))
(* (pow x 2) (- 1/2 (/ 1 x)))
(* (pow x 2) (- 1/2 (/ 1 x)))
(* 1/2 (pow x 2))
(* (pow x 2) (- 1/2 (/ 1 x)))
(* (pow x 2) (- 1/2 (/ 1 x)))
(* (pow x 2) (- 1/2 (/ 1 x)))
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))
(* -1/2 (pow x 3))
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2)))))
(* -1/2 (pow x 3))
(* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (- 1/2 (/ 1 x)) x)))))
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))) x)))))
(* 2 (atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1)))))
(* 2 (atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1)))))
(* 2 (atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1)))))
(* 2 (atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1)))))
(* 2 (atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x)))
(* 2 (atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x)))
(* 2 (atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x)))
(* 2 (atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x)))
(* 2 (atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1)))))
(* 2 (atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1)))))
(* 2 (atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1)))))
(* 2 (atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1)))))
(atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1))))
(atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1))))
(atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1))))
(atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1))))
(atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x))
(atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x))
(atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x))
(atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x))
(atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1))))
(atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1))))
(atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1))))
(atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1))))
(* -1 x)
(* x (- (* 1/2 x) 1))
(* x (- (* x (+ 1/2 (* -1/2 x))) 1))
(* x (- (* x (+ 1/2 (* -1/2 x))) 1))
(* -1/2 (pow x 3))
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2)))))
(* -1/2 (pow x 3))
(* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (- 1/2 (/ 1 x)) x)))))
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (- 1/2 (/ 1 x)) x)))))
(* 2 (atan (- 1 x)))
(* 2 (atan (- 1 x)))
(* 2 (atan (- 1 x)))
(* 2 (atan (- 1 x)))
(* 2 (atan (- 1 x)))
(* 2 (atan (- 1 x)))
(* 2 (atan (- 1 x)))
(* 2 (atan (- 1 x)))
(* 2 (atan (+ 1 (* -1 x))))
(* 2 (atan (+ 1 (* -1 x))))
(* 2 (atan (+ 1 (* -1 x))))
(* 2 (atan (+ 1 (* -1 x))))
(atan (- 1 x))
(atan (- 1 x))
(atan (- 1 x))
(atan (- 1 x))
(atan (- 1 x))
(atan (- 1 x))
(atan (- 1 x))
(atan (- 1 x))
(atan (+ 1 (* -1 x)))
(atan (+ 1 (* -1 x)))
(atan (+ 1 (* -1 x)))
(atan (+ 1 (* -1 x)))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* x (+ 1/2 (* -1/2 x)))
(* x (+ 1/2 (* -1/2 x)))
(* x (+ 1/2 (* -1/2 x)))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))
Outputs
(* 2 (atan (+ 1 (* x (- (* 1/2 x) 1)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(* 2 (atan (+ 1 (* x (- (* 1/2 x) 1)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(* 2 (atan (+ 1 (* x (- (* 1/2 x) 1)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(* 2 (atan (+ 1 (* x (- (* 1/2 x) 1)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(* 2 (atan (- (+ 1 (* 1/2 (pow x 2))) x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(* 2 (atan (- (+ 1 (* 1/2 (pow x 2))) x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(* 2 (atan (- (+ 1 (* 1/2 (pow x 2))) x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(* 2 (atan (- (+ 1 (* 1/2 (pow x 2))) x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(* 2 (atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(* 2 (atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(* 2 (atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(* 2 (atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(atan (+ 1 (* x (- (* 1/2 x) 1))))
(atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(atan (+ 1 (* x (- (* 1/2 x) 1))))
(atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(atan (+ 1 (* x (- (* 1/2 x) 1))))
(atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(atan (+ 1 (* x (- (* 1/2 x) 1))))
(atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(atan (- (+ 1 (* 1/2 (pow x 2))) x))
(atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(atan (- (+ 1 (* 1/2 (pow x 2))) x))
(atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(atan (- (+ 1 (* 1/2 (pow x 2))) x))
(atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(atan (- (+ 1 (* 1/2 (pow x 2))) x))
(atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2)))))
(atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2)))))
(atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2)))))
(atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2)))))
(atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(+ 1 (* x (- (* 1/2 x) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(* 1/2 (pow x 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(* (pow x 2) (- 1/2 (/ 1 x)))
(*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(* 1/2 (pow x 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(* (pow x 2) (- 1/2 (/ 1 x)))
(*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (* 1/2 x) 1))
(*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(* x (- (* 1/2 x) 1))
(*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(* x (- (* 1/2 x) 1))
(*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(* 1/2 (pow x 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(* (pow x 2) (- 1/2 (/ 1 x)))
(*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(* (pow x 2) (- 1/2 (/ 1 x)))
(*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(* (pow x 2) (- 1/2 (/ 1 x)))
(*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(* 1/2 (pow x 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(* (pow x 2) (- 1/2 (/ 1 x)))
(*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(* (pow x 2) (- 1/2 (/ 1 x)))
(*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(* (pow x 2) (- 1/2 (/ 1 x)))
(*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(* -1/2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x))))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))
(* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(* -1/2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x))))
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (- 1/2 (/ 1 x)) x)))))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))) x)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(* 2 (atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))))
(* 2 (atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))))
(* 2 (atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))))
(* 2 (atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))))
(* 2 (atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))))
(* 2 (atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))))
(* 2 (atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))))
(* 2 (atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))))
(* 2 (atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))))
(* 2 (atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))))
(* 2 (atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))))
(* 2 (atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))))
(atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1))))
(atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)))
(atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1))))
(atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)))
(atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1))))
(atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)))
(atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1))))
(atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)))
(atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x))
(atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)))
(atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x))
(atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)))
(atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x))
(atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)))
(atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x))
(atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)))
(atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1))))
(atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)))
(atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1))))
(atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)))
(atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1))))
(atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)))
(atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1))))
(atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (* 1/2 x) 1))
(*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(* x (- (* x (+ 1/2 (* -1/2 x))) 1))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))
(* x (- (* x (+ 1/2 (* -1/2 x))) 1))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))
(* -1/2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x))))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))
(* -1/2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x))))
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (- 1/2 (/ 1 x)) x)))))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (- 1/2 (/ 1 x)) x)))))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))
(* 2 (atan (- 1 x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
(* 2 (atan (- 1 x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
(* 2 (atan (- 1 x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
(* 2 (atan (- 1 x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
(* 2 (atan (- 1 x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
(* 2 (atan (- 1 x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
(* 2 (atan (- 1 x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
(* 2 (atan (- 1 x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
(* 2 (atan (+ 1 (* -1 x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
(* 2 (atan (+ 1 (* -1 x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
(* 2 (atan (+ 1 (* -1 x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
(* 2 (atan (+ 1 (* -1 x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
(atan (- 1 x))
(atan.f64 (-.f64 #s(literal 1 binary64) x))
(atan (- 1 x))
(atan.f64 (-.f64 #s(literal 1 binary64) x))
(atan (- 1 x))
(atan.f64 (-.f64 #s(literal 1 binary64) x))
(atan (- 1 x))
(atan.f64 (-.f64 #s(literal 1 binary64) x))
(atan (- 1 x))
(atan.f64 (-.f64 #s(literal 1 binary64) x))
(atan (- 1 x))
(atan.f64 (-.f64 #s(literal 1 binary64) x))
(atan (- 1 x))
(atan.f64 (-.f64 #s(literal 1 binary64) x))
(atan (- 1 x))
(atan.f64 (-.f64 #s(literal 1 binary64) x))
(atan (+ 1 (* -1 x)))
(atan.f64 (-.f64 #s(literal 1 binary64) x))
(atan (+ 1 (* -1 x)))
(atan.f64 (-.f64 #s(literal 1 binary64) x))
(atan (+ 1 (* -1 x)))
(atan.f64 (-.f64 #s(literal 1 binary64) x))
(atan (+ 1 (* -1 x)))
(atan.f64 (-.f64 #s(literal 1 binary64) x))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* -1/2 x)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))
(* x (+ 1/2 (* -1/2 x)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))
(* x (+ 1/2 (* -1/2 x)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))
(* -1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))
(* -1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))

eval117.0ms (1%)

Memory
13.0MiB live, 199.1MiB allocated
Compiler

Compiled 16 829 to 2 499 computations (85.2% saved)

prune2.0s (16.4%)

Memory
-17.6MiB live, 155.8MiB allocated
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New6773680
Fresh000
Picked134
Done011
Total6787685
Accuracy
100.0%
Counts
685 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(*.f64 (atan.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
97.5%
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64))
99.5%
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 #s(literal 1/4 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x))))) (*.f64 x x))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x))))))))
99.0%
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))))
99.0%
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
99.4%
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
100.0%
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
Compiler

Compiled 108 to 71 computations (34.3% saved)

simplify1.0s (8.3%)

Memory
4.7MiB live, 721.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
cost-diff0
(*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
cost-diff0
(atan.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
cost-diff0
(*.f64 (atan.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
cost-diff0
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 #s(literal 1/4 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x))))) (*.f64 x x))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x))))))))
cost-diff128
(-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x)))))
cost-diff384
(-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 #s(literal 1/4 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x))))) (*.f64 x x)))
cost-diff384
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 #s(literal 1/4 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x))))) (*.f64 x x))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x))))))
cost-diff0
(-.f64 #s(literal 1 binary64) (*.f64 x x))
cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))
cost-diff0
(atan.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)))
cost-diff0
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))))
Rules
17 070×accelerator-lowering-fma.f32
17 070×accelerator-lowering-fma.f64
5 096×*-lowering-*.f32
5 096×*-lowering-*.f64
1 686×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031348
187332
2277314
31325306
45023286
08160265
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* 2 (atan (/ (- 1 (* x x)) (+ 1 x))))
2
(atan (/ (- 1 (* x x)) (+ 1 x)))
(/ (- 1 (* x x)) (+ 1 x))
(- 1 (* x x))
1
(* x x)
x
(+ 1 x)
(* 2 (atan (/ (- (* (- 1 x) (- 1 x)) (* (* (- 1 x) (* x (* 1/4 (* x (- 1 x))))) (* x x))) (- (- 1 x) (* 1/2 (* x (* x (- 1 x))))))))
2
(atan (/ (- (* (- 1 x) (- 1 x)) (* (* (- 1 x) (* x (* 1/4 (* x (- 1 x))))) (* x x))) (- (- 1 x) (* 1/2 (* x (* x (- 1 x)))))))
(/ (- (* (- 1 x) (- 1 x)) (* (* (- 1 x) (* x (* 1/4 (* x (- 1 x))))) (* x x))) (- (- 1 x) (* 1/2 (* x (* x (- 1 x))))))
(- (* (- 1 x) (- 1 x)) (* (* (- 1 x) (* x (* 1/4 (* x (- 1 x))))) (* x x)))
(* (- 1 x) (- 1 x))
(- 1 x)
1
x
(* (* (- 1 x) (* x (* 1/4 (* x (- 1 x))))) (* x x))
(* (- 1 x) (* x (* 1/4 (* x (- 1 x)))))
(* x (* 1/4 (* x (- 1 x))))
(* 1/4 (* x (- 1 x)))
1/4
(* x (- 1 x))
(* x x)
(- (- 1 x) (* 1/2 (* x (* x (- 1 x)))))
(* 1/2 (* x (* x (- 1 x))))
1/2
(* x (* x (- 1 x)))
(* (atan (* (+ (* x (* x 1/2)) 1) (- 1 x))) 2)
(atan (* (+ (* x (* x 1/2)) 1) (- 1 x)))
(* (+ (* x (* x 1/2)) 1) (- 1 x))
(+ (* x (* x 1/2)) 1)
(* x (* x 1/2))
x
(* x 1/2)
1/2
1
(- 1 x)
2
Outputs
(* 2 (atan (/ (- 1 (* x x)) (+ 1 x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))))
2
#s(literal 2 binary64)
(atan (/ (- 1 (* x x)) (+ 1 x)))
(atan.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)))
(/ (- 1 (* x x)) (+ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))
(- 1 (* x x))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
1
#s(literal 1 binary64)
(* x x)
(*.f64 x x)
x
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(* 2 (atan (/ (- (* (- 1 x) (- 1 x)) (* (* (- 1 x) (* x (* 1/4 (* x (- 1 x))))) (* x x))) (- (- 1 x) (* 1/2 (* x (* x (- 1 x))))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal -1/4 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) #s(literal 1 binary64))))
2
#s(literal 2 binary64)
(atan (/ (- (* (- 1 x) (- 1 x)) (* (* (- 1 x) (* x (* 1/4 (* x (- 1 x))))) (* x x))) (- (- 1 x) (* 1/2 (* x (* x (- 1 x)))))))
(atan.f64 (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal -1/4 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) #s(literal 1 binary64)))
(/ (- (* (- 1 x) (- 1 x)) (* (* (- 1 x) (* x (* 1/4 (* x (- 1 x))))) (* x x))) (- (- 1 x) (* 1/2 (* x (* x (- 1 x))))))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal -1/4 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(- (* (- 1 x) (- 1 x)) (* (* (- 1 x) (* x (* 1/4 (* x (- 1 x))))) (* x x)))
(*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal -1/4 binary64))))))
(* (- 1 x) (- 1 x))
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(* (* (- 1 x) (* x (* 1/4 (* x (- 1 x))))) (* x x))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/4 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x))))))
(* (- 1 x) (* x (* 1/4 (* x (- 1 x)))))
(*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/4 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x)))))
(* x (* 1/4 (* x (- 1 x))))
(*.f64 x (*.f64 #s(literal 1/4 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x))))
(* 1/4 (* x (- 1 x)))
(*.f64 #s(literal 1/4 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x)))
1/4
#s(literal 1/4 binary64)
(* x (- 1 x))
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(* x x)
(*.f64 x x)
(- (- 1 x) (* 1/2 (* x (* x (- 1 x)))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))
(* 1/2 (* x (* x (- 1 x))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))
1/2
#s(literal 1/2 binary64)
(* x (* x (- 1 x)))
(*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x)))
(* (atan (* (+ (* x (* x 1/2)) 1) (- 1 x))) 2)
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))
(atan (* (+ (* x (* x 1/2)) 1) (- 1 x)))
(atan.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))
(* (+ (* x (* x 1/2)) 1) (- 1 x))
(*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(+ (* x (* x 1/2)) 1)
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
(* x (* x 1/2))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
x
(* x 1/2)
(*.f64 x #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
1
#s(literal 1 binary64)
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
2
#s(literal 2 binary64)

localize165.0ms (1.4%)

Memory
22.7MiB live, 257.6MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 (atan.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
accuracy100.0%
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
accuracy100.0%
(*.f64 x #s(literal 1/2 binary64))
accuracy100.0%
(atan.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
accuracy100.0%
(*.f64 x (-.f64 #s(literal 1 binary64) x))
accuracy99.9%
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 #s(literal 1/4 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x))))) (*.f64 x x))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x))))))
accuracy99.9%
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
accuracy99.9%
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 #s(literal 1/4 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x))))) (*.f64 x x))
accuracy100.0%
(*.f64 x x)
accuracy100.0%
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))))
accuracy100.0%
(atan.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)))
accuracy100.0%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))
Samples
76.0ms256×0valid
Compiler

Compiled 350 to 33 computations (90.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 60.0ms
ival-atan: 29.0ms (48.2% of total)
ival-mult: 20.0ms (33.2% of total)
ival-sub: 4.0ms (6.6% of total)
ival-div: 3.0ms (5% of total)
ival-add: 2.0ms (3.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series38.0ms (0.3%)

Memory
-36.9MiB live, 42.1MiB allocated
Counts
18 → 216
Calls
Call 1
Inputs
#<alt (* 2 (atan (/ (- 1 (* x x)) (+ 1 x))))>
#<alt (atan (/ (- 1 (* x x)) (+ 1 x)))>
#<alt (/ (- 1 (* x x)) (+ 1 x))>
#<alt (- 1 (* x x))>
#<alt (/ (- (* (- 1 x) (- 1 x)) (* (* (- 1 x) (* x (* 1/4 (* x (- 1 x))))) (* x x))) (- (- 1 x) (* 1/2 (* x (* x (- 1 x))))))>
#<alt (- (* (- 1 x) (- 1 x)) (* (* (- 1 x) (* x (* 1/4 (* x (- 1 x))))) (* x x)))>
#<alt (- (- 1 x) (* 1/2 (* x (* x (- 1 x)))))>
#<alt (* 2 (atan (/ (- (* (- 1 x) (- 1 x)) (* (* (- 1 x) (* x (* 1/4 (* x (- 1 x))))) (* x x))) (- (- 1 x) (* 1/2 (* x (* x (- 1 x))))))))>
#<alt (* (atan (* (+ (* x (* x 1/2)) 1) (- 1 x))) 2)>
#<alt (atan (* (+ (* x (* x 1/2)) 1) (- 1 x)))>
#<alt (* (+ (* x (* x 1/2)) 1) (- 1 x))>
#<alt (+ (* x (* x 1/2)) 1)>
#<alt (* x x)>
#<alt (* (* (- 1 x) (* x (* 1/4 (* x (- 1 x))))) (* x x))>
#<alt (* (- 1 x) (- 1 x))>
#<alt (* x (- 1 x))>
#<alt (* x 1/2)>
#<alt (* x (* x 1/2))>
Outputs
#<alt (* 2 (atan (/ (- 1 (pow x 2)) (+ 1 x))))>
#<alt (* 2 (atan (/ (- 1 (pow x 2)) (+ 1 x))))>
#<alt (* 2 (atan (/ (- 1 (pow x 2)) (+ 1 x))))>
#<alt (* 2 (atan (/ (- 1 (pow x 2)) (+ 1 x))))>
#<alt (* 2 (atan (/ (- 1 (pow x 2)) (+ 1 x))))>
#<alt (* 2 (atan (/ (- 1 (pow x 2)) (+ 1 x))))>
#<alt (* 2 (atan (/ (- 1 (pow x 2)) (+ 1 x))))>
#<alt (* 2 (atan (/ (- 1 (pow x 2)) (+ 1 x))))>
#<alt (* 2 (atan (/ (- 1 (pow x 2)) (- 1 (* -1 x)))))>
#<alt (* 2 (atan (/ (- 1 (pow x 2)) (- 1 (* -1 x)))))>
#<alt (* 2 (atan (/ (- 1 (pow x 2)) (- 1 (* -1 x)))))>
#<alt (* 2 (atan (/ (- 1 (pow x 2)) (- 1 (* -1 x)))))>
#<alt (atan (/ (- 1 (pow x 2)) (+ 1 x)))>
#<alt (atan (/ (- 1 (pow x 2)) (+ 1 x)))>
#<alt (atan (/ (- 1 (pow x 2)) (+ 1 x)))>
#<alt (atan (/ (- 1 (pow x 2)) (+ 1 x)))>
#<alt (atan (/ (- 1 (pow x 2)) (+ 1 x)))>
#<alt (atan (/ (- 1 (pow x 2)) (+ 1 x)))>
#<alt (atan (/ (- 1 (pow x 2)) (+ 1 x)))>
#<alt (atan (/ (- 1 (pow x 2)) (+ 1 x)))>
#<alt (atan (/ (- 1 (pow x 2)) (- 1 (* -1 x))))>
#<alt (atan (/ (- 1 (pow x 2)) (- 1 (* -1 x))))>
#<alt (atan (/ (- 1 (pow x 2)) (- 1 (* -1 x))))>
#<alt (atan (/ (- 1 (pow x 2)) (- 1 (* -1 x))))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt 1>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))>
#<alt (* -1/2 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2)))))>
#<alt (* -1/2 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (- 1/2 (/ 1 x)) x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))) x)))))>
#<alt 1>
#<alt (+ 1 (* -2 x))>
#<alt (+ 1 (* x (- x 2)))>
#<alt (+ 1 (* x (- (* x (+ 1 (* -1/4 (pow x 2)))) 2)))>
#<alt (* -1/4 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/2 (/ 1 x)) 1/4))>
#<alt (* (pow x 6) (- (* 1/2 (/ 1 x)) (+ 1/4 (/ 1/4 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 4))) (+ 1/4 (/ 1/4 (pow x 2)))))>
#<alt (* -1/4 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/2 (/ 1 x)) 1/4))>
#<alt (* (pow x 6) (- (* -1 (/ (- (* 1/4 (/ 1 x)) 1/2) x)) 1/4))>
#<alt (* (pow x 6) (- (* -1 (/ (- (* -1 (/ (- (/ 1 (pow x 2)) 1/4) x)) 1/2) x)) 1/4))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* -1/2 x) 1)))>
#<alt (+ 1 (* x (- (* x (- (* 1/2 x) 1/2)) 1)))>
#<alt (* 1/2 (pow x 3))>
#<alt (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/2 (* -1 (/ (+ 1/2 (/ 1 x)) x))))>
#<alt (* (pow x 3) (- (+ 1/2 (/ 1 (pow x 3))) (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* 1/2 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2)))>
#<alt (* -1 (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/2)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- 1 (/ 1 x)) x)) 1/2) x)) 1/2)))>
#<alt (* 2 (atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 4) (pow (- 1 x) 2)))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))>
#<alt (* 2 (atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 4) (pow (- 1 x) 2)))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))>
#<alt (* 2 (atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 4) (pow (- 1 x) 2)))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))>
#<alt (* 2 (atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 4) (pow (- 1 x) 2)))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))>
#<alt (* 2 (atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 4) (pow (- 1 x) 2)))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))>
#<alt (* 2 (atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 4) (pow (- 1 x) 2)))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))>
#<alt (* 2 (atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 4) (pow (- 1 x) 2)))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))>
#<alt (* 2 (atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 4) (pow (- 1 x) 2)))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))>
#<alt (* 2 (atan (/ (- (pow (+ 1 (* -1 x)) 2) (* 1/4 (* (pow x 4) (pow (+ 1 (* -1 x)) 2)))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))))))>
#<alt (* 2 (atan (/ (- (pow (+ 1 (* -1 x)) 2) (* 1/4 (* (pow x 4) (pow (+ 1 (* -1 x)) 2)))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))))))>
#<alt (* 2 (atan (/ (- (pow (+ 1 (* -1 x)) 2) (* 1/4 (* (pow x 4) (pow (+ 1 (* -1 x)) 2)))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))))))>
#<alt (* 2 (atan (/ (- (pow (+ 1 (* -1 x)) 2) (* 1/4 (* (pow x 4) (pow (+ 1 (* -1 x)) 2)))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))))))>
#<alt (* 2 (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x))))>
#<alt (* 2 (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x))))>
#<alt (* 2 (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x))))>
#<alt (* 2 (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x))))>
#<alt (* 2 (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x))))>
#<alt (* 2 (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x))))>
#<alt (* 2 (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x))))>
#<alt (* 2 (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x))))>
#<alt (* 2 (atan (* (+ 1 (* -1 x)) (+ 1 (* 1/2 (pow x 2))))))>
#<alt (* 2 (atan (* (+ 1 (* -1 x)) (+ 1 (* 1/2 (pow x 2))))))>
#<alt (* 2 (atan (* (+ 1 (* -1 x)) (+ 1 (* 1/2 (pow x 2))))))>
#<alt (* 2 (atan (* (+ 1 (* -1 x)) (+ 1 (* 1/2 (pow x 2))))))>
#<alt (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x)))>
#<alt (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x)))>
#<alt (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x)))>
#<alt (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x)))>
#<alt (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x)))>
#<alt (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x)))>
#<alt (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x)))>
#<alt (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x)))>
#<alt (atan (* (+ 1 (* -1 x)) (+ 1 (* 1/2 (pow x 2)))))>
#<alt (atan (* (+ 1 (* -1 x)) (+ 1 (* 1/2 (pow x 2)))))>
#<alt (atan (* (+ 1 (* -1 x)) (+ 1 (* 1/2 (pow x 2)))))>
#<alt (atan (* (+ 1 (* -1 x)) (+ 1 (* 1/2 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))>
#<alt (* -1/2 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2)))))>
#<alt (* -1/2 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (- 1/2 (/ 1 x)) x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))) x)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 1/4 (pow x 4))>
#<alt (* (pow x 4) (+ 1/4 (* -1/2 x)))>
#<alt (* (pow x 4) (+ 1/4 (* x (- (* 1/4 x) 1/2))))>
#<alt (* (pow x 4) (+ 1/4 (* x (- (* 1/4 x) 1/2))))>
#<alt (* 1/4 (pow x 6))>
#<alt (* (pow x 6) (- 1/4 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 6) (- (+ 1/4 (/ 1/4 (pow x 2))) (* 1/2 (/ 1 x))))>
#<alt (* (pow x 6) (- (+ 1/4 (/ 1/4 (pow x 2))) (* 1/2 (/ 1 x))))>
#<alt (* 1/4 (pow x 6))>
#<alt (* (pow x 6) (- 1/4 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 6) (+ 1/4 (* -1 (/ (- 1/2 (* 1/4 (/ 1 x))) x))))>
#<alt (* (pow x 6) (+ 1/4 (* -1 (/ (- 1/2 (* 1/4 (/ 1 x))) x))))>
#<alt 1>
#<alt (+ 1 (* -2 x))>
#<alt (+ 1 (* x (- x 2)))>
#<alt (+ 1 (* x (- x 2)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (* 2 (/ 1 x))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (- 2 (/ 1 x)) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (- 2 (/ 1 x)) x))))>
#<alt x>
#<alt (* x (+ 1 (* -1 x)))>
#<alt (* x (+ 1 (* -1 x)))>
#<alt (* x (+ 1 (* -1 x)))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 x) 1))>
#<alt (* (pow x 2) (- (/ 1 x) 1))>
#<alt (* (pow x 2) (- (/ 1 x) 1))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 x) 1))>
#<alt (* (pow x 2) (- (/ 1 x) 1))>
#<alt (* (pow x 2) (- (/ 1 x) 1))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
Calls

54 calls:

TimeVariablePointExpression
3.0ms
x
@0
(* (atan (* (+ (* x (* x 1/2)) 1) (- 1 x))) 2)
1.0ms
x
@inf
(* (atan (* (+ (* x (* x 1/2)) 1) (- 1 x))) 2)
1.0ms
x
@-inf
(* 2 (atan (/ (- (* (- 1 x) (- 1 x)) (* (* (- 1 x) (* x (* 1/4 (* x (- 1 x))))) (* x x))) (- (- 1 x) (* 1/2 (* x (* x (- 1 x))))))))
1.0ms
x
@inf
(* 2 (atan (/ (- (* (- 1 x) (- 1 x)) (* (* (- 1 x) (* x (* 1/4 (* x (- 1 x))))) (* x x))) (- (- 1 x) (* 1/2 (* x (* x (- 1 x))))))))
0.0ms
x
@0
(* 2 (atan (/ (- (* (- 1 x) (- 1 x)) (* (* (- 1 x) (* x (* 1/4 (* x (- 1 x))))) (* x x))) (- (- 1 x) (* 1/2 (* x (* x (- 1 x))))))))

rewrite530.0ms (4.3%)

Memory
14.8MiB live, 955.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 348×*-lowering-*.f32
5 348×*-lowering-*.f64
5 078×/-lowering-/.f32
5 078×/-lowering-/.f64
4 888×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031213
1160199
21499197
08352190
Stop Event
iter limit
node limit
Counts
18 → 943
Calls
Call 1
Inputs
(* 2 (atan (/ (- 1 (* x x)) (+ 1 x))))
(atan (/ (- 1 (* x x)) (+ 1 x)))
(/ (- 1 (* x x)) (+ 1 x))
(- 1 (* x x))
(/ (- (* (- 1 x) (- 1 x)) (* (* (- 1 x) (* x (* 1/4 (* x (- 1 x))))) (* x x))) (- (- 1 x) (* 1/2 (* x (* x (- 1 x))))))
(- (* (- 1 x) (- 1 x)) (* (* (- 1 x) (* x (* 1/4 (* x (- 1 x))))) (* x x)))
(- (- 1 x) (* 1/2 (* x (* x (- 1 x)))))
(* 2 (atan (/ (- (* (- 1 x) (- 1 x)) (* (* (- 1 x) (* x (* 1/4 (* x (- 1 x))))) (* x x))) (- (- 1 x) (* 1/2 (* x (* x (- 1 x))))))))
(* (atan (* (+ (* x (* x 1/2)) 1) (- 1 x))) 2)
(atan (* (+ (* x (* x 1/2)) 1) (- 1 x)))
(* (+ (* x (* x 1/2)) 1) (- 1 x))
(+ (* x (* x 1/2)) 1)
(* x x)
(* (* (- 1 x) (* x (* 1/4 (* x (- 1 x))))) (* x x))
(* (- 1 x) (- 1 x))
(* x (- 1 x))
(* x 1/2)
(* x (* x 1/2))
Outputs
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (atan.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(atan.f64 (-.f64 #s(literal 1 binary64) x))
(neg.f64 (atan.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)))))
(neg.f64 (atan.f64 (-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x))))
(+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) x)
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) (+.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) (+.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
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(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64))))
(*.f64 (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (/.f64 x #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) x)
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64))

simplify364.0ms (3%)

Memory
-20.5MiB live, 645.4MiB allocated
Algorithm
egg-herbie
Rules
11 576×accelerator-lowering-fma.f32
11 576×accelerator-lowering-fma.f64
3 822×*-lowering-*.f32
3 822×*-lowering-*.f64
3 340×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02022066
15852032
215551936
346521908
085721814
Stop Event
iter limit
node limit
Counts
216 → 216
Calls
Call 1
Inputs
(* 2 (atan (/ (- 1 (pow x 2)) (+ 1 x))))
(* 2 (atan (/ (- 1 (pow x 2)) (+ 1 x))))
(* 2 (atan (/ (- 1 (pow x 2)) (+ 1 x))))
(* 2 (atan (/ (- 1 (pow x 2)) (+ 1 x))))
(* 2 (atan (/ (- 1 (pow x 2)) (+ 1 x))))
(* 2 (atan (/ (- 1 (pow x 2)) (+ 1 x))))
(* 2 (atan (/ (- 1 (pow x 2)) (+ 1 x))))
(* 2 (atan (/ (- 1 (pow x 2)) (+ 1 x))))
(* 2 (atan (/ (- 1 (pow x 2)) (- 1 (* -1 x)))))
(* 2 (atan (/ (- 1 (pow x 2)) (- 1 (* -1 x)))))
(* 2 (atan (/ (- 1 (pow x 2)) (- 1 (* -1 x)))))
(* 2 (atan (/ (- 1 (pow x 2)) (- 1 (* -1 x)))))
(atan (/ (- 1 (pow x 2)) (+ 1 x)))
(atan (/ (- 1 (pow x 2)) (+ 1 x)))
(atan (/ (- 1 (pow x 2)) (+ 1 x)))
(atan (/ (- 1 (pow x 2)) (+ 1 x)))
(atan (/ (- 1 (pow x 2)) (+ 1 x)))
(atan (/ (- 1 (pow x 2)) (+ 1 x)))
(atan (/ (- 1 (pow x 2)) (+ 1 x)))
(atan (/ (- 1 (pow x 2)) (+ 1 x)))
(atan (/ (- 1 (pow x 2)) (- 1 (* -1 x))))
(atan (/ (- 1 (pow x 2)) (- 1 (* -1 x))))
(atan (/ (- 1 (pow x 2)) (- 1 (* -1 x))))
(atan (/ (- 1 (pow x 2)) (- 1 (* -1 x))))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* -1 (pow x 2)))
(+ 1 (* -1 (pow x 2)))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))
(* -1/2 (pow x 3))
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2)))))
(* -1/2 (pow x 3))
(* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (- 1/2 (/ 1 x)) x)))))
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))) x)))))
1
(+ 1 (* -2 x))
(+ 1 (* x (- x 2)))
(+ 1 (* x (- (* x (+ 1 (* -1/4 (pow x 2)))) 2)))
(* -1/4 (pow x 6))
(* (pow x 6) (- (* 1/2 (/ 1 x)) 1/4))
(* (pow x 6) (- (* 1/2 (/ 1 x)) (+ 1/4 (/ 1/4 (pow x 2)))))
(* (pow x 6) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 4))) (+ 1/4 (/ 1/4 (pow x 2)))))
(* -1/4 (pow x 6))
(* (pow x 6) (- (* 1/2 (/ 1 x)) 1/4))
(* (pow x 6) (- (* -1 (/ (- (* 1/4 (/ 1 x)) 1/2) x)) 1/4))
(* (pow x 6) (- (* -1 (/ (- (* -1 (/ (- (/ 1 (pow x 2)) 1/4) x)) 1/2) x)) 1/4))
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* -1/2 x) 1)))
(+ 1 (* x (- (* x (- (* 1/2 x) 1/2)) 1)))
(* 1/2 (pow x 3))
(* (pow x 3) (- 1/2 (* 1/2 (/ 1 x))))
(* (pow x 3) (+ 1/2 (* -1 (/ (+ 1/2 (/ 1 x)) x))))
(* (pow x 3) (- (+ 1/2 (/ 1 (pow x 3))) (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* 1/2 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2)))
(* -1 (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/2)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- 1 (/ 1 x)) x)) 1/2) x)) 1/2)))
(* 2 (atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 4) (pow (- 1 x) 2)))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))
(* 2 (atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 4) (pow (- 1 x) 2)))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))
(* 2 (atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 4) (pow (- 1 x) 2)))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))
(* 2 (atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 4) (pow (- 1 x) 2)))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))
(* 2 (atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 4) (pow (- 1 x) 2)))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))
(* 2 (atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 4) (pow (- 1 x) 2)))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))
(* 2 (atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 4) (pow (- 1 x) 2)))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))
(* 2 (atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 4) (pow (- 1 x) 2)))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))
(* 2 (atan (/ (- (pow (+ 1 (* -1 x)) 2) (* 1/4 (* (pow x 4) (pow (+ 1 (* -1 x)) 2)))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))))))
(* 2 (atan (/ (- (pow (+ 1 (* -1 x)) 2) (* 1/4 (* (pow x 4) (pow (+ 1 (* -1 x)) 2)))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))))))
(* 2 (atan (/ (- (pow (+ 1 (* -1 x)) 2) (* 1/4 (* (pow x 4) (pow (+ 1 (* -1 x)) 2)))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))))))
(* 2 (atan (/ (- (pow (+ 1 (* -1 x)) 2) (* 1/4 (* (pow x 4) (pow (+ 1 (* -1 x)) 2)))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))))))
(* 2 (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x))))
(* 2 (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x))))
(* 2 (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x))))
(* 2 (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x))))
(* 2 (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x))))
(* 2 (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x))))
(* 2 (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x))))
(* 2 (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x))))
(* 2 (atan (* (+ 1 (* -1 x)) (+ 1 (* 1/2 (pow x 2))))))
(* 2 (atan (* (+ 1 (* -1 x)) (+ 1 (* 1/2 (pow x 2))))))
(* 2 (atan (* (+ 1 (* -1 x)) (+ 1 (* 1/2 (pow x 2))))))
(* 2 (atan (* (+ 1 (* -1 x)) (+ 1 (* 1/2 (pow x 2))))))
(atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x)))
(atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x)))
(atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x)))
(atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x)))
(atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x)))
(atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x)))
(atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x)))
(atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x)))
(atan (* (+ 1 (* -1 x)) (+ 1 (* 1/2 (pow x 2)))))
(atan (* (+ 1 (* -1 x)) (+ 1 (* 1/2 (pow x 2)))))
(atan (* (+ 1 (* -1 x)) (+ 1 (* 1/2 (pow x 2)))))
(atan (* (+ 1 (* -1 x)) (+ 1 (* 1/2 (pow x 2)))))
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))
(* -1/2 (pow x 3))
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2)))))
(* -1/2 (pow x 3))
(* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (- 1/2 (/ 1 x)) x)))))
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))) x)))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* 1/2 (pow x 2)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/4 (pow x 4))
(* (pow x 4) (+ 1/4 (* -1/2 x)))
(* (pow x 4) (+ 1/4 (* x (- (* 1/4 x) 1/2))))
(* (pow x 4) (+ 1/4 (* x (- (* 1/4 x) 1/2))))
(* 1/4 (pow x 6))
(* (pow x 6) (- 1/4 (* 1/2 (/ 1 x))))
(* (pow x 6) (- (+ 1/4 (/ 1/4 (pow x 2))) (* 1/2 (/ 1 x))))
(* (pow x 6) (- (+ 1/4 (/ 1/4 (pow x 2))) (* 1/2 (/ 1 x))))
(* 1/4 (pow x 6))
(* (pow x 6) (- 1/4 (* 1/2 (/ 1 x))))
(* (pow x 6) (+ 1/4 (* -1 (/ (- 1/2 (* 1/4 (/ 1 x))) x))))
(* (pow x 6) (+ 1/4 (* -1 (/ (- 1/2 (* 1/4 (/ 1 x))) x))))
1
(+ 1 (* -2 x))
(+ 1 (* x (- x 2)))
(+ 1 (* x (- x 2)))
(pow x 2)
(* (pow x 2) (- 1 (* 2 (/ 1 x))))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (* 2 (/ 1 x))))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (* 2 (/ 1 x))))
(pow x 2)
(* (pow x 2) (- 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* -1 (/ (- 2 (/ 1 x)) x))))
(* (pow x 2) (+ 1 (* -1 (/ (- 2 (/ 1 x)) x))))
x
(* x (+ 1 (* -1 x)))
(* x (+ 1 (* -1 x)))
(* x (+ 1 (* -1 x)))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 x) 1))
(* (pow x 2) (- (/ 1 x) 1))
(* (pow x 2) (- (/ 1 x) 1))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 x) 1))
(* (pow x 2) (- (/ 1 x) 1))
(* (pow x 2) (- (/ 1 x) 1))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
Outputs
(* 2 (atan (/ (- 1 (pow x 2)) (+ 1 x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))))
(* 2 (atan (/ (- 1 (pow x 2)) (+ 1 x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))))
(* 2 (atan (/ (- 1 (pow x 2)) (+ 1 x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))))
(* 2 (atan (/ (- 1 (pow x 2)) (+ 1 x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))))
(* 2 (atan (/ (- 1 (pow x 2)) (+ 1 x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))))
(* 2 (atan (/ (- 1 (pow x 2)) (+ 1 x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))))
(* 2 (atan (/ (- 1 (pow x 2)) (+ 1 x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))))
(* 2 (atan (/ (- 1 (pow x 2)) (+ 1 x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))))
(* 2 (atan (/ (- 1 (pow x 2)) (- 1 (* -1 x)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))))
(* 2 (atan (/ (- 1 (pow x 2)) (- 1 (* -1 x)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))))
(* 2 (atan (/ (- 1 (pow x 2)) (- 1 (* -1 x)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))))
(* 2 (atan (/ (- 1 (pow x 2)) (- 1 (* -1 x)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))))
(atan (/ (- 1 (pow x 2)) (+ 1 x)))
(atan.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)))
(atan (/ (- 1 (pow x 2)) (+ 1 x)))
(atan.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)))
(atan (/ (- 1 (pow x 2)) (+ 1 x)))
(atan.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)))
(atan (/ (- 1 (pow x 2)) (+ 1 x)))
(atan.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)))
(atan (/ (- 1 (pow x 2)) (+ 1 x)))
(atan.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)))
(atan (/ (- 1 (pow x 2)) (+ 1 x)))
(atan.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)))
(atan (/ (- 1 (pow x 2)) (+ 1 x)))
(atan.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)))
(atan (/ (- 1 (pow x 2)) (+ 1 x)))
(atan.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)))
(atan (/ (- 1 (pow x 2)) (- 1 (* -1 x))))
(atan.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)))
(atan (/ (- 1 (pow x 2)) (- 1 (* -1 x))))
(atan.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)))
(atan (/ (- 1 (pow x 2)) (- 1 (* -1 x))))
(atan.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)))
(atan (/ (- 1 (pow x 2)) (- 1 (* -1 x))))
(atan.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* -1 (pow x 2))
(*.f64 x (-.f64 #s(literal 0 binary64) x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* -1 (pow x 2))
(*.f64 x (-.f64 #s(literal 0 binary64) x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(* -1/2 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)))
(* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x))))
(* -1/2 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x)))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))
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(* 1/4 (pow x 4))
(*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1/4 (* -1/2 x)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))
(* (pow x 4) (+ 1/4 (* x (- (* 1/4 x) 1/2))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/4 binary64))))))
(* (pow x 4) (+ 1/4 (* x (- (* 1/4 x) 1/2))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/4 binary64))))))
(* 1/4 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/4 binary64))
(* (pow x 6) (- 1/4 (* 1/2 (/ 1 x))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(* (pow x 6) (- (+ 1/4 (/ 1/4 (pow x 2))) (* 1/2 (/ 1 x))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) x)) x)))
(* (pow x 6) (- (+ 1/4 (/ 1/4 (pow x 2))) (* 1/2 (/ 1 x))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) x)) x)))
(* 1/4 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/4 binary64))
(* (pow x 6) (- 1/4 (* 1/2 (/ 1 x))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(* (pow x 6) (+ 1/4 (* -1 (/ (- 1/2 (* 1/4 (/ 1 x))) x))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) x)) x)))
(* (pow x 6) (+ 1/4 (* -1 (/ (- 1/2 (* 1/4 (/ 1 x))) x))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) x)) x)))
1
#s(literal 1 binary64)
(+ 1 (* -2 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -2 binary64)))
(+ 1 (* x (- x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64))))
(+ 1 (* x (- x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 2 (/ 1 x))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x))))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (* 2 (/ 1 x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)))))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (* 2 (/ 1 x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 2 (/ 1 x))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x))))
(* (pow x 2) (+ 1 (* -1 (/ (- 2 (/ 1 x)) x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)))))
(* (pow x 2) (+ 1 (* -1 (/ (- 2 (/ 1 x)) x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)))))
x
(* x (+ 1 (* -1 x)))
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(* x (+ 1 (* -1 x)))
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(* x (+ 1 (* -1 x)))
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(* -1 (pow x 2))
(*.f64 x (-.f64 #s(literal 0 binary64) x))
(* (pow x 2) (- (/ 1 x) 1))
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(* (pow x 2) (- (/ 1 x) 1))
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(* (pow x 2) (- (/ 1 x) 1))
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(* -1 (pow x 2))
(*.f64 x (-.f64 #s(literal 0 binary64) x))
(* (pow x 2) (- (/ 1 x) 1))
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(* (pow x 2) (- (/ 1 x) 1))
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(* (pow x 2) (- (/ 1 x) 1))
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))

eval206.0ms (1.7%)

Memory
29.0MiB live, 367.6MiB allocated
Compiler

Compiled 61 714 to 5 613 computations (90.9% saved)

prune130.0ms (1.1%)

Memory
4.7MiB live, 291.4MiB allocated
Pruning

8 alts after pruning (3 fresh and 5 done)

PrunedKeptTotal
New1 23231 235
Fresh000
Picked213
Done044
Total1 23481 242
Accuracy
100.0%
Counts
1 242 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(*.f64 (atan.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
97.5%
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64))
99.5%
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 #s(literal 1/4 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) x))))) (*.f64 x x))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x))))))))
99.5%
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x))))))))
99.0%
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
99.0%
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
99.4%
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
100.0%
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
Compiler

Compiled 129 to 88 computations (31.8% saved)

simplify455.0ms (3.7%)

Memory
0.7MiB live, 606.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff128
(-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x)))))
cost-diff128
(*.f64 #s(literal 1/4 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) x)))
cost-diff256
(-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 #s(literal 1/4 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) x))))) (*.f64 x x)))
cost-diff384
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 #s(literal 1/4 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) x))))) (*.f64 x x))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x))))))
cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x))))))
cost-diff0
(atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x)))))))
cost-diff0
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x))))))))
cost-diff128
(-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x)))))
cost-diff0
(+.f64 #s(literal 1 binary64) x)
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))
cost-diff0
(atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
cost-diff0
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
Rules
12 828×accelerator-lowering-fma.f32
12 828×accelerator-lowering-fma.f64
4 190×*-lowering-*.f32
4 190×*-lowering-*.f64
2 550×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034392
188376
2287340
31448338
44106310
08534286
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* 2 (atan (/ 1 (+ 1 x))))
2
(atan (/ 1 (+ 1 x)))
(/ 1 (+ 1 x))
1
(+ 1 x)
x
(* 2 (atan (/ (+ 1 (* x (+ x -2))) (- (- 1 x) (* 1/2 (* x (* x (- 1 x))))))))
2
(atan (/ (+ 1 (* x (+ x -2))) (- (- 1 x) (* 1/2 (* x (* x (- 1 x)))))))
(/ (+ 1 (* x (+ x -2))) (- (- 1 x) (* 1/2 (* x (* x (- 1 x))))))
(+ 1 (* x (+ x -2)))
1
(* x (+ x -2))
x
(+ x -2)
-2
(- (- 1 x) (* 1/2 (* x (* x (- 1 x)))))
(- 1 x)
(* 1/2 (* x (* x (- 1 x))))
1/2
(* x (* x (- 1 x)))
(* x (- 1 x))
(* 2 (atan (/ (- (* (- 1 x) (- 1 x)) (* (* (- 1 x) (* x (* 1/4 (* x (- 0 x))))) (* x x))) (- (- 1 x) (* 1/2 (* x (* x (- 1 x))))))))
2
(atan (/ (- (* (- 1 x) (- 1 x)) (* (* (- 1 x) (* x (* 1/4 (* x (- 0 x))))) (* x x))) (- (- 1 x) (* 1/2 (* x (* x (- 1 x)))))))
(/ (- (* (- 1 x) (- 1 x)) (* (* (- 1 x) (* x (* 1/4 (* x (- 0 x))))) (* x x))) (- (- 1 x) (* 1/2 (* x (* x (- 1 x))))))
(- (* (- 1 x) (- 1 x)) (* (* (- 1 x) (* x (* 1/4 (* x (- 0 x))))) (* x x)))
(* (- 1 x) (- 1 x))
(- 1 x)
1
x
(* (* (- 1 x) (* x (* 1/4 (* x (- 0 x))))) (* x x))
(* (- 1 x) (* x (* 1/4 (* x (- 0 x)))))
(* x (* 1/4 (* x (- 0 x))))
(* 1/4 (* x (- 0 x)))
1/4
(* x (- 0 x))
(- 0 x)
0
(* x x)
(- (- 1 x) (* 1/2 (* x (* x (- 1 x)))))
(* 1/2 (* x (* x (- 1 x))))
1/2
(* x (* x (- 1 x)))
(* x (- 1 x))
Outputs
(* 2 (atan (/ 1 (+ 1 x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
2
#s(literal 2 binary64)
(atan (/ 1 (+ 1 x)))
(atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(/ 1 (+ 1 x))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
x
(* 2 (atan (/ (+ 1 (* x (+ x -2))) (- (- 1 x) (* 1/2 (* x (* x (- 1 x))))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))))))
2
#s(literal 2 binary64)
(atan (/ (+ 1 (* x (+ x -2))) (- (- 1 x) (* 1/2 (* x (* x (- 1 x)))))))
(atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))))
(/ (+ 1 (* x (+ x -2))) (- (- 1 x) (* 1/2 (* x (* x (- 1 x))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))))
(+ 1 (* x (+ x -2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64))))
1
#s(literal 1 binary64)
(* x (+ x -2))
(*.f64 x (+.f64 x #s(literal -2 binary64)))
x
(+ x -2)
(+.f64 x #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(- (- 1 x) (* 1/2 (* x (* x (- 1 x)))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
(* 1/2 (* x (* x (- 1 x))))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x))))
1/2
#s(literal 1/2 binary64)
(* x (* x (- 1 x)))
(*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x)))
(* x (- 1 x))
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(* 2 (atan (/ (- (* (- 1 x) (- 1 x)) (* (* (- 1 x) (* x (* 1/4 (* x (- 0 x))))) (* x x))) (- (- 1 x) (* 1/2 (* x (* x (- 1 x))))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/4 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))))))
2
#s(literal 2 binary64)
(atan (/ (- (* (- 1 x) (- 1 x)) (* (* (- 1 x) (* x (* 1/4 (* x (- 0 x))))) (* x x))) (- (- 1 x) (* 1/2 (* x (* x (- 1 x)))))))
(atan.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/4 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))))
(/ (- (* (- 1 x) (- 1 x)) (* (* (- 1 x) (* x (* 1/4 (* x (- 0 x))))) (* x x))) (- (- 1 x) (* 1/2 (* x (* x (- 1 x))))))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/4 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))))
(- (* (- 1 x) (- 1 x)) (* (* (- 1 x) (* x (* 1/4 (* x (- 0 x))))) (* x x)))
(*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/4 binary64)))))))))
(* (- 1 x) (- 1 x))
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(* (* (- 1 x) (* x (* 1/4 (* x (- 0 x))))) (* x x))
(*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/4 binary64)))))
(* (- 1 x) (* x (* 1/4 (* x (- 0 x)))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/4 binary64)))
(* x (* 1/4 (* x (- 0 x))))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/4 binary64))
(* 1/4 (* x (- 0 x)))
(*.f64 (*.f64 x x) #s(literal -1/4 binary64))
1/4
#s(literal 1/4 binary64)
(* x (- 0 x))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(- 0 x)
(-.f64 #s(literal 0 binary64) x)
0
#s(literal 0 binary64)
(* x x)
(*.f64 x x)
(- (- 1 x) (* 1/2 (* x (* x (- 1 x)))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))
(* 1/2 (* x (* x (- 1 x))))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x))))
1/2
#s(literal 1/2 binary64)
(* x (* x (- 1 x)))
(*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x)))
(* x (- 1 x))
(*.f64 x (-.f64 #s(literal 1 binary64) x))

localize125.0ms (1%)

Memory
-2.7MiB live, 265.4MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 #s(literal 1/4 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) x))))) (*.f64 x x))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x))))))
accuracy99.9%
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
accuracy99.9%
(*.f64 x (*.f64 #s(literal 1/4 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) x))))
accuracy99.9%
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 #s(literal 1/4 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) x))))) (*.f64 x x))
accuracy100.0%
(atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x)))))))
accuracy100.0%
(*.f64 x (+.f64 x #s(literal -2 binary64)))
accuracy100.0%
(*.f64 x (-.f64 #s(literal 1 binary64) x))
accuracy99.9%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x))))))
accuracy100.0%
(+.f64 #s(literal 1 binary64) x)
accuracy100.0%
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))
accuracy100.0%
(atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
Samples
61.0ms256×0valid
Compiler

Compiled 404 to 36 computations (91.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-mult: 19.0ms (44.8% of total)
ival-atan: 9.0ms (21.2% of total)
ival-div: 5.0ms (11.8% of total)
ival-sub: 4.0ms (9.4% of total)
ival-add: 4.0ms (9.4% of total)
exact: 1.0ms (2.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory
22.1MiB live, 22.1MiB allocated
Counts
16 → 192
Calls
Call 1
Inputs
#<alt (* 2 (atan (/ 1 (+ 1 x))))>
#<alt (atan (/ 1 (+ 1 x)))>
#<alt (/ 1 (+ 1 x))>
#<alt (+ 1 x)>
#<alt (- (- 1 x) (* 1/2 (* x (* x (- 1 x)))))>
#<alt (* 2 (atan (/ (+ 1 (* x (+ x -2))) (- (- 1 x) (* 1/2 (* x (* x (- 1 x))))))))>
#<alt (atan (/ (+ 1 (* x (+ x -2))) (- (- 1 x) (* 1/2 (* x (* x (- 1 x)))))))>
#<alt (/ (+ 1 (* x (+ x -2))) (- (- 1 x) (* 1/2 (* x (* x (- 1 x))))))>
#<alt (/ (- (* (- 1 x) (- 1 x)) (* (* (- 1 x) (* x (* 1/4 (* x (- 0 x))))) (* x x))) (- (- 1 x) (* 1/2 (* x (* x (- 1 x))))))>
#<alt (- (* (- 1 x) (- 1 x)) (* (* (- 1 x) (* x (* 1/4 (* x (- 0 x))))) (* x x)))>
#<alt (* 1/4 (* x (- 0 x)))>
#<alt (* x (- 1 x))>
#<alt (* x (+ x -2))>
#<alt (* (* (- 1 x) (* x (* 1/4 (* x (- 0 x))))) (* x x))>
#<alt (* x (* 1/4 (* x (- 0 x))))>
#<alt (* (- 1 x) (- 1 x))>
Outputs
#<alt (* 2 (atan (/ 1 (+ 1 x))))>
#<alt (* 2 (atan (/ 1 (+ 1 x))))>
#<alt (* 2 (atan (/ 1 (+ 1 x))))>
#<alt (* 2 (atan (/ 1 (+ 1 x))))>
#<alt (* 2 (atan (/ 1 (+ 1 x))))>
#<alt (* 2 (atan (/ 1 (+ 1 x))))>
#<alt (* 2 (atan (/ 1 (+ 1 x))))>
#<alt (* 2 (atan (/ 1 (+ 1 x))))>
#<alt (* 2 (atan (/ 1 (- 1 (* -1 x)))))>
#<alt (* 2 (atan (/ 1 (- 1 (* -1 x)))))>
#<alt (* 2 (atan (/ 1 (- 1 (* -1 x)))))>
#<alt (* 2 (atan (/ 1 (- 1 (* -1 x)))))>
#<alt (atan (/ 1 (+ 1 x)))>
#<alt (atan (/ 1 (+ 1 x)))>
#<alt (atan (/ 1 (+ 1 x)))>
#<alt (atan (/ 1 (+ 1 x)))>
#<alt (atan (/ 1 (+ 1 x)))>
#<alt (atan (/ 1 (+ 1 x)))>
#<alt (atan (/ 1 (+ 1 x)))>
#<alt (atan (/ 1 (+ 1 x)))>
#<alt (atan (/ 1 (- 1 (* -1 x))))>
#<alt (atan (/ 1 (- 1 (* -1 x))))>
#<alt (atan (/ 1 (- 1 (* -1 x))))>
#<alt (atan (/ 1 (- 1 (* -1 x))))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- x 1)))>
#<alt (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))>
#<alt (/ 1 x)>
#<alt (/ (- 1 (/ 1 x)) x)>
#<alt (/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)>
#<alt (/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (/ 1 x) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* -1/2 x) 1)))>
#<alt (+ 1 (* x (- (* x (- (* 1/2 x) 1/2)) 1)))>
#<alt (* 1/2 (pow x 3))>
#<alt (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/2 (* -1 (/ (+ 1/2 (/ 1 x)) x))))>
#<alt (* (pow x 3) (- (+ 1/2 (/ 1 (pow x 3))) (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* 1/2 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2)))>
#<alt (* -1 (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/2)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- 1 (/ 1 x)) x)) 1/2) x)) 1/2)))>
#<alt (* 2 (atan (/ (+ 1 (* x (- x 2))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))>
#<alt (* 2 (atan (/ (+ 1 (* x (- x 2))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))>
#<alt (* 2 (atan (/ (+ 1 (* x (- x 2))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))>
#<alt (* 2 (atan (/ (+ 1 (* x (- x 2))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))>
#<alt (* 2 (atan (/ (- (+ 1 (pow x 2)) (* 2 x)) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))>
#<alt (* 2 (atan (/ (- (+ 1 (pow x 2)) (* 2 x)) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))>
#<alt (* 2 (atan (/ (- (+ 1 (pow x 2)) (* 2 x)) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))>
#<alt (* 2 (atan (/ (- (+ 1 (pow x 2)) (* 2 x)) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))>
#<alt (* 2 (atan (/ (+ 1 (+ (* -2 x) (pow x 2))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))))))>
#<alt (* 2 (atan (/ (+ 1 (+ (* -2 x) (pow x 2))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))))))>
#<alt (* 2 (atan (/ (+ 1 (+ (* -2 x) (pow x 2))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))))))>
#<alt (* 2 (atan (/ (+ 1 (+ (* -2 x) (pow x 2))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))))))>
#<alt (atan (/ (+ 1 (* x (- x 2))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))>
#<alt (atan (/ (+ 1 (* x (- x 2))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))>
#<alt (atan (/ (+ 1 (* x (- x 2))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))>
#<alt (atan (/ (+ 1 (* x (- x 2))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))>
#<alt (atan (/ (- (+ 1 (pow x 2)) (* 2 x)) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))>
#<alt (atan (/ (- (+ 1 (pow x 2)) (* 2 x)) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))>
#<alt (atan (/ (- (+ 1 (pow x 2)) (* 2 x)) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))>
#<alt (atan (/ (- (+ 1 (pow x 2)) (* 2 x)) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))>
#<alt (atan (/ (+ 1 (+ (* -2 x) (pow x 2))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))>
#<alt (atan (/ (+ 1 (+ (* -2 x) (pow x 2))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))>
#<alt (atan (/ (+ 1 (+ (* -2 x) (pow x 2))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))>
#<alt (atan (/ (+ 1 (+ (* -2 x) (pow x 2))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))>
#<alt (/ 2 x)>
#<alt (/ (- 2 (* 2 (/ 1 x))) x)>
#<alt (/ (- (+ 2 (/ 4 (pow x 2))) (* 2 (/ 1 x))) x)>
#<alt (/ (- (+ 2 (/ 4 (pow x 2))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 (pow x 3))))) x)>
#<alt (/ 2 x)>
#<alt (* -1 (/ (- (* 2 (/ 1 x)) 2) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 x)) 2) x)) 2) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 x)) 4) x)) 2) x)) 2) x))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))>
#<alt (* -1/2 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 1 (* 2 (/ 1 (pow x 3)))) (pow x 2))) 1/2))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 2 (* 4 (/ 1 (pow x 2)))) (pow x 5))) (+ 1/2 (/ 1 (pow x 2)))))>
#<alt (* -1/2 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 1/2 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 2 (pow x 5))))))>
#<alt (* -1 (* (pow x 3) (+ 1/2 (+ (/ 1 (pow x 2)) (+ (* 4 (/ 1 (pow x 7))) (/ 2 (pow x 5)))))))>
#<alt 1>
#<alt (+ 1 (* -2 x))>
#<alt (+ 1 (* x (- x 2)))>
#<alt (+ 1 (* x (- (* x (+ 1 (* 1/4 (pow x 3)))) 2)))>
#<alt (* -1/4 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/4 (/ 1 x)) 1/4))>
#<alt (* (pow x 6) (- (+ (* 1/4 (/ 1 x)) (/ 1 (pow x 4))) 1/4))>
#<alt (* (pow x 6) (- (+ (* 1/4 (/ 1 x)) (/ 1 (pow x 4))) (+ 1/4 (* 2 (/ 1 (pow x 5))))))>
#<alt (* -1/4 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/4 (/ 1 x)) 1/4))>
#<alt (* (pow x 6) (- (+ (* 1/4 (/ 1 x)) (/ 1 (pow x 4))) 1/4))>
#<alt (* (pow x 6) (- (* -1 (/ (- (* -1 (/ (- 1 (* 2 (/ 1 x))) (pow x 3))) 1/4) x)) 1/4))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1/4 (pow x 2))>
#<alt x>
#<alt (* x (+ 1 (* -1 x)))>
#<alt (* x (+ 1 (* -1 x)))>
#<alt (* x (+ 1 (* -1 x)))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 x) 1))>
#<alt (* (pow x 2) (- (/ 1 x) 1))>
#<alt (* (pow x 2) (- (/ 1 x) 1))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 x) 1))>
#<alt (* (pow x 2) (- (/ 1 x) 1))>
#<alt (* (pow x 2) (- (/ 1 x) 1))>
#<alt (* -2 x)>
#<alt (* x (- x 2))>
#<alt (* x (- x 2))>
#<alt (* x (- x 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (- 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (- 1 (* 2 (/ 1 x))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (- 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (- 1 (* 2 (/ 1 x))))>
#<alt (* -1/4 (pow x 5))>
#<alt (* (pow x 5) (- (* 1/4 x) 1/4))>
#<alt (* (pow x 5) (- (* 1/4 x) 1/4))>
#<alt (* (pow x 5) (- (* 1/4 x) 1/4))>
#<alt (* 1/4 (pow x 6))>
#<alt (* (pow x 6) (- 1/4 (* 1/4 (/ 1 x))))>
#<alt (* (pow x 6) (- 1/4 (* 1/4 (/ 1 x))))>
#<alt (* (pow x 6) (- 1/4 (* 1/4 (/ 1 x))))>
#<alt (* 1/4 (pow x 6))>
#<alt (* (pow x 6) (- 1/4 (* 1/4 (/ 1 x))))>
#<alt (* (pow x 6) (- 1/4 (* 1/4 (/ 1 x))))>
#<alt (* (pow x 6) (- 1/4 (* 1/4 (/ 1 x))))>
#<alt (* -1/4 (pow x 3))>
#<alt (* -1/4 (pow x 3))>
#<alt (* -1/4 (pow x 3))>
#<alt (* -1/4 (pow x 3))>
#<alt (* -1/4 (pow x 3))>
#<alt (* -1/4 (pow x 3))>
#<alt (* -1/4 (pow x 3))>
#<alt (* -1/4 (pow x 3))>
#<alt (* -1/4 (pow x 3))>
#<alt (* -1/4 (pow x 3))>
#<alt (* -1/4 (pow x 3))>
#<alt (* -1/4 (pow x 3))>
#<alt 1>
#<alt (+ 1 (* -2 x))>
#<alt (+ 1 (* x (- x 2)))>
#<alt (+ 1 (* x (- x 2)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (* 2 (/ 1 x))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (- 2 (/ 1 x)) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (- 2 (/ 1 x)) x))))>
Calls

48 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(* 2 (atan (/ (+ 1 (* x (+ x -2))) (- (- 1 x) (* 1/2 (* x (* x (- 1 x))))))))
0.0ms
x
@inf
(/ (- (* (- 1 x) (- 1 x)) (* (* (- 1 x) (* x (* 1/4 (* x (- 0 x))))) (* x x))) (- (- 1 x) (* 1/2 (* x (* x (- 1 x))))))
0.0ms
x
@inf
(* 2 (atan (/ (+ 1 (* x (+ x -2))) (- (- 1 x) (* 1/2 (* x (* x (- 1 x))))))))
0.0ms
x
@-inf
(/ (- (* (- 1 x) (- 1 x)) (* (* (- 1 x) (* x (* 1/4 (* x (- 0 x))))) (* x x))) (- (- 1 x) (* 1/2 (* x (* x (- 1 x))))))
0.0ms
x
@0
(* 2 (atan (/ (+ 1 (* x (+ x -2))) (- (- 1 x) (* 1/2 (* x (* x (- 1 x))))))))

rewrite594.0ms (4.9%)

Memory
-10.0MiB live, 737.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 062×/-lowering-/.f32
5 062×/-lowering-/.f64
4 714×accelerator-lowering-fma.f32
4 714×accelerator-lowering-fma.f64
4 628×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032205
1177195
21501195
08363187
Stop Event
iter limit
node limit
Counts
16 → 693
Calls
Call 1
Inputs
(* 2 (atan (/ 1 (+ 1 x))))
(atan (/ 1 (+ 1 x)))
(/ 1 (+ 1 x))
(+ 1 x)
(- (- 1 x) (* 1/2 (* x (* x (- 1 x)))))
(* 2 (atan (/ (+ 1 (* x (+ x -2))) (- (- 1 x) (* 1/2 (* x (* x (- 1 x))))))))
(atan (/ (+ 1 (* x (+ x -2))) (- (- 1 x) (* 1/2 (* x (* x (- 1 x)))))))
(/ (+ 1 (* x (+ x -2))) (- (- 1 x) (* 1/2 (* x (* x (- 1 x))))))
(/ (- (* (- 1 x) (- 1 x)) (* (* (- 1 x) (* x (* 1/4 (* x (- 0 x))))) (* x x))) (- (- 1 x) (* 1/2 (* x (* x (- 1 x))))))
(- (* (- 1 x) (- 1 x)) (* (* (- 1 x) (* x (* 1/4 (* x (- 0 x))))) (* x x)))
(* 1/4 (* x (- 0 x)))
(* x (- 1 x))
(* x (+ x -2))
(* (* (- 1 x) (* x (* 1/4 (* x (- 0 x))))) (* x x))
(* x (* 1/4 (* x (- 0 x))))
(* (- 1 x) (- 1 x))
Outputs
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(*.f64 (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(neg.f64 (atan.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x))))
(exp.f64 (*.f64 (log1p.f64 x) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))))
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log1p.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
(exp.f64 (neg.f64 (*.f64 (log1p.f64 x) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 x (/.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64))
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(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) x)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) x))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) x))))))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (pow.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 1 binary64) x))))))
(pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) x))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64)))))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (exp.f64 (log.f64 (-.f64 #s(literal 1 binary64) x))) (exp.f64 (log.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64)))))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))

simplify488.0ms (4%)

Memory
-7.6MiB live, 793.5MiB allocated
Algorithm
egg-herbie
Rules
10 810×accelerator-lowering-fma.f32
10 810×accelerator-lowering-fma.f64
5 244×*-lowering-*.f32
5 244×*-lowering-*.f64
2 158×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02351749
16631733
218051641
374871639
083961558
Stop Event
iter limit
node limit
Counts
192 → 192
Calls
Call 1
Inputs
(* 2 (atan (/ 1 (+ 1 x))))
(* 2 (atan (/ 1 (+ 1 x))))
(* 2 (atan (/ 1 (+ 1 x))))
(* 2 (atan (/ 1 (+ 1 x))))
(* 2 (atan (/ 1 (+ 1 x))))
(* 2 (atan (/ 1 (+ 1 x))))
(* 2 (atan (/ 1 (+ 1 x))))
(* 2 (atan (/ 1 (+ 1 x))))
(* 2 (atan (/ 1 (- 1 (* -1 x)))))
(* 2 (atan (/ 1 (- 1 (* -1 x)))))
(* 2 (atan (/ 1 (- 1 (* -1 x)))))
(* 2 (atan (/ 1 (- 1 (* -1 x)))))
(atan (/ 1 (+ 1 x)))
(atan (/ 1 (+ 1 x)))
(atan (/ 1 (+ 1 x)))
(atan (/ 1 (+ 1 x)))
(atan (/ 1 (+ 1 x)))
(atan (/ 1 (+ 1 x)))
(atan (/ 1 (+ 1 x)))
(atan (/ 1 (+ 1 x)))
(atan (/ 1 (- 1 (* -1 x))))
(atan (/ 1 (- 1 (* -1 x))))
(atan (/ 1 (- 1 (* -1 x))))
(atan (/ 1 (- 1 (* -1 x))))
1
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(/ 1 x)
(/ (- 1 (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
(/ 1 x)
(* -1 (/ (- (/ 1 x) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* -1/2 x) 1)))
(+ 1 (* x (- (* x (- (* 1/2 x) 1/2)) 1)))
(* 1/2 (pow x 3))
(* (pow x 3) (- 1/2 (* 1/2 (/ 1 x))))
(* (pow x 3) (+ 1/2 (* -1 (/ (+ 1/2 (/ 1 x)) x))))
(* (pow x 3) (- (+ 1/2 (/ 1 (pow x 3))) (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* 1/2 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2)))
(* -1 (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/2)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- 1 (/ 1 x)) x)) 1/2) x)) 1/2)))
(* 2 (atan (/ (+ 1 (* x (- x 2))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))
(* 2 (atan (/ (+ 1 (* x (- x 2))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))
(* 2 (atan (/ (+ 1 (* x (- x 2))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))
(* 2 (atan (/ (+ 1 (* x (- x 2))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))
(* 2 (atan (/ (- (+ 1 (pow x 2)) (* 2 x)) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))
(* 2 (atan (/ (- (+ 1 (pow x 2)) (* 2 x)) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))
(* 2 (atan (/ (- (+ 1 (pow x 2)) (* 2 x)) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))
(* 2 (atan (/ (- (+ 1 (pow x 2)) (* 2 x)) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))
(* 2 (atan (/ (+ 1 (+ (* -2 x) (pow x 2))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))))))
(* 2 (atan (/ (+ 1 (+ (* -2 x) (pow x 2))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))))))
(* 2 (atan (/ (+ 1 (+ (* -2 x) (pow x 2))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))))))
(* 2 (atan (/ (+ 1 (+ (* -2 x) (pow x 2))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))))))
(atan (/ (+ 1 (* x (- x 2))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))
(atan (/ (+ 1 (* x (- x 2))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))
(atan (/ (+ 1 (* x (- x 2))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))
(atan (/ (+ 1 (* x (- x 2))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))
(atan (/ (- (+ 1 (pow x 2)) (* 2 x)) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))
(atan (/ (- (+ 1 (pow x 2)) (* 2 x)) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))
(atan (/ (- (+ 1 (pow x 2)) (* 2 x)) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))
(atan (/ (- (+ 1 (pow x 2)) (* 2 x)) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))
(atan (/ (+ 1 (+ (* -2 x) (pow x 2))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))
(atan (/ (+ 1 (+ (* -2 x) (pow x 2))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))
(atan (/ (+ 1 (+ (* -2 x) (pow x 2))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))
(atan (/ (+ 1 (+ (* -2 x) (pow x 2))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))
(/ 2 x)
(/ (- 2 (* 2 (/ 1 x))) x)
(/ (- (+ 2 (/ 4 (pow x 2))) (* 2 (/ 1 x))) x)
(/ (- (+ 2 (/ 4 (pow x 2))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 (pow x 3))))) x)
(/ 2 x)
(* -1 (/ (- (* 2 (/ 1 x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 x)) 2) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 x)) 4) x)) 2) x)) 2) x))
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))
(* -1/2 (pow x 3))
(* -1 (* (pow x 3) (+ 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (- (* -1 (/ (+ 1 (* 2 (/ 1 (pow x 3)))) (pow x 2))) 1/2))
(* (pow x 3) (- (* -1 (/ (+ 2 (* 4 (/ 1 (pow x 2)))) (pow x 5))) (+ 1/2 (/ 1 (pow x 2)))))
(* -1/2 (pow x 3))
(* -1 (* (pow x 3) (+ 1/2 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 2 (pow x 5))))))
(* -1 (* (pow x 3) (+ 1/2 (+ (/ 1 (pow x 2)) (+ (* 4 (/ 1 (pow x 7))) (/ 2 (pow x 5)))))))
1
(+ 1 (* -2 x))
(+ 1 (* x (- x 2)))
(+ 1 (* x (- (* x (+ 1 (* 1/4 (pow x 3)))) 2)))
(* -1/4 (pow x 6))
(* (pow x 6) (- (* 1/4 (/ 1 x)) 1/4))
(* (pow x 6) (- (+ (* 1/4 (/ 1 x)) (/ 1 (pow x 4))) 1/4))
(* (pow x 6) (- (+ (* 1/4 (/ 1 x)) (/ 1 (pow x 4))) (+ 1/4 (* 2 (/ 1 (pow x 5))))))
(* -1/4 (pow x 6))
(* (pow x 6) (- (* 1/4 (/ 1 x)) 1/4))
(* (pow x 6) (- (+ (* 1/4 (/ 1 x)) (/ 1 (pow x 4))) 1/4))
(* (pow x 6) (- (* -1 (/ (- (* -1 (/ (- 1 (* 2 (/ 1 x))) (pow x 3))) 1/4) x)) 1/4))
(* -1/4 (pow x 2))
(* -1/4 (pow x 2))
(* -1/4 (pow x 2))
(* -1/4 (pow x 2))
(* -1/4 (pow x 2))
(* -1/4 (pow x 2))
(* -1/4 (pow x 2))
(* -1/4 (pow x 2))
(* -1/4 (pow x 2))
(* -1/4 (pow x 2))
(* -1/4 (pow x 2))
(* -1/4 (pow x 2))
x
(* x (+ 1 (* -1 x)))
(* x (+ 1 (* -1 x)))
(* x (+ 1 (* -1 x)))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 x) 1))
(* (pow x 2) (- (/ 1 x) 1))
(* (pow x 2) (- (/ 1 x) 1))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 x) 1))
(* (pow x 2) (- (/ 1 x) 1))
(* (pow x 2) (- (/ 1 x) 1))
(* -2 x)
(* x (- x 2))
(* x (- x 2))
(* x (- x 2))
(pow x 2)
(* (pow x 2) (- 1 (* 2 (/ 1 x))))
(* (pow x 2) (- 1 (* 2 (/ 1 x))))
(* (pow x 2) (- 1 (* 2 (/ 1 x))))
(pow x 2)
(* (pow x 2) (- 1 (* 2 (/ 1 x))))
(* (pow x 2) (- 1 (* 2 (/ 1 x))))
(* (pow x 2) (- 1 (* 2 (/ 1 x))))
(* -1/4 (pow x 5))
(* (pow x 5) (- (* 1/4 x) 1/4))
(* (pow x 5) (- (* 1/4 x) 1/4))
(* (pow x 5) (- (* 1/4 x) 1/4))
(* 1/4 (pow x 6))
(* (pow x 6) (- 1/4 (* 1/4 (/ 1 x))))
(* (pow x 6) (- 1/4 (* 1/4 (/ 1 x))))
(* (pow x 6) (- 1/4 (* 1/4 (/ 1 x))))
(* 1/4 (pow x 6))
(* (pow x 6) (- 1/4 (* 1/4 (/ 1 x))))
(* (pow x 6) (- 1/4 (* 1/4 (/ 1 x))))
(* (pow x 6) (- 1/4 (* 1/4 (/ 1 x))))
(* -1/4 (pow x 3))
(* -1/4 (pow x 3))
(* -1/4 (pow x 3))
(* -1/4 (pow x 3))
(* -1/4 (pow x 3))
(* -1/4 (pow x 3))
(* -1/4 (pow x 3))
(* -1/4 (pow x 3))
(* -1/4 (pow x 3))
(* -1/4 (pow x 3))
(* -1/4 (pow x 3))
(* -1/4 (pow x 3))
1
(+ 1 (* -2 x))
(+ 1 (* x (- x 2)))
(+ 1 (* x (- x 2)))
(pow x 2)
(* (pow x 2) (- 1 (* 2 (/ 1 x))))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (* 2 (/ 1 x))))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (* 2 (/ 1 x))))
(pow x 2)
(* (pow x 2) (- 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* -1 (/ (- 2 (/ 1 x)) x))))
(* (pow x 2) (+ 1 (* -1 (/ (- 2 (/ 1 x)) x))))
Outputs
(* 2 (atan (/ 1 (+ 1 x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(* 2 (atan (/ 1 (+ 1 x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(* 2 (atan (/ 1 (+ 1 x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(* 2 (atan (/ 1 (+ 1 x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(* 2 (atan (/ 1 (+ 1 x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(* 2 (atan (/ 1 (+ 1 x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(* 2 (atan (/ 1 (+ 1 x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(* 2 (atan (/ 1 (+ 1 x))))
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(atan (/ (+ 1 (+ (* -2 x) (pow x 2))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))
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(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1/4 binary64) x) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 5 binary64)))))))
(* -1/4 (pow x 6))
(*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 1/4 (/ 1 x)) 1/4))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/4 binary64) x)))
(* (pow x 6) (- (+ (* 1/4 (/ 1 x)) (/ 1 (pow x 4))) 1/4))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) x) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 6) (- (* -1 (/ (- (* -1 (/ (- 1 (* 2 (/ 1 x))) (pow x 3))) 1/4) x)) 1/4))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)) x) x) x)) x)))
(* -1/4 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/4 binary64))
(* -1/4 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/4 binary64))
(* -1/4 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/4 binary64))
(* -1/4 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/4 binary64))
(* -1/4 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/4 binary64))
(* -1/4 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/4 binary64))
(* -1/4 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/4 binary64))
(* -1/4 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/4 binary64))
(* -1/4 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/4 binary64))
(* -1/4 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/4 binary64))
(* -1/4 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/4 binary64))
(* -1/4 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/4 binary64))
x
(* x (+ 1 (* -1 x)))
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(* x (+ 1 (* -1 x)))
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(* x (+ 1 (* -1 x)))
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 x) 1))
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(* (pow x 2) (- (/ 1 x) 1))
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(* (pow x 2) (- (/ 1 x) 1))
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 x) 1))
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(* (pow x 2) (- (/ 1 x) 1))
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(* (pow x 2) (- (/ 1 x) 1))
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* x (- x 2))
(*.f64 x (+.f64 x #s(literal -2 binary64)))
(* x (- x 2))
(*.f64 x (+.f64 x #s(literal -2 binary64)))
(* x (- x 2))
(*.f64 x (+.f64 x #s(literal -2 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal -2 binary64)))
(* (pow x 2) (- 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal -2 binary64)))
(* (pow x 2) (- 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal -2 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal -2 binary64)))
(* (pow x 2) (- 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal -2 binary64)))
(* (pow x 2) (- 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal -2 binary64)))
(* -1/4 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/4 binary64))
(* (pow x 5) (- (* 1/4 x) 1/4))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal -1/4 binary64) (*.f64 x #s(literal 1/4 binary64))))
(* (pow x 5) (- (* 1/4 x) 1/4))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal -1/4 binary64) (*.f64 x #s(literal 1/4 binary64))))
(* (pow x 5) (- (* 1/4 x) 1/4))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal -1/4 binary64) (*.f64 x #s(literal 1/4 binary64))))
(* 1/4 (pow x 6))
(*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- 1/4 (* 1/4 (/ 1 x))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/4 binary64) x)))
(* (pow x 6) (- 1/4 (* 1/4 (/ 1 x))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/4 binary64) x)))
(* (pow x 6) (- 1/4 (* 1/4 (/ 1 x))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/4 binary64) x)))
(* 1/4 (pow x 6))
(*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- 1/4 (* 1/4 (/ 1 x))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/4 binary64) x)))
(* (pow x 6) (- 1/4 (* 1/4 (/ 1 x))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/4 binary64) x)))
(* (pow x 6) (- 1/4 (* 1/4 (/ 1 x))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/4 binary64) x)))
(* -1/4 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))
(* -1/4 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))
(* -1/4 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))
(* -1/4 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))
(* -1/4 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))
(* -1/4 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))
(* -1/4 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))
(* -1/4 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))
(* -1/4 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))
(* -1/4 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))
(* -1/4 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))
(* -1/4 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -2 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -2 binary64)))
(+ 1 (* x (- x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64))))
(+ 1 (* x (- x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal -2 binary64)))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (* 2 (/ 1 x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64))))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (* 2 (/ 1 x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal -2 binary64)))
(* (pow x 2) (+ 1 (* -1 (/ (- 2 (/ 1 x)) x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64))))
(* (pow x 2) (+ 1 (* -1 (/ (- 2 (/ 1 x)) x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64))))

eval186.0ms (1.5%)

Memory
28.7MiB live, 442.0MiB allocated
Compiler

Compiled 55 786 to 4 690 computations (91.6% saved)

prune208.0ms (1.7%)

Memory
-11.9MiB live, 303.9MiB allocated
Pruning

10 alts after pruning (4 fresh and 6 done)

PrunedKeptTotal
New1 04841 052
Fresh000
Picked213
Done055
Total1 050101 060
Accuracy
100.0%
Counts
1 060 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(*.f64 (atan.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
97.5%
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64))
99.5%
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))))
99.5%
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))))))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x))))))))
99.5%
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64))))))))
99.0%
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
99.0%
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
99.0%
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))
99.4%
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
100.0%
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
Compiler

Compiled 441 to 213 computations (51.7% saved)

regimes24.0ms (0.2%)

Memory
-22.3MiB live, 53.9MiB allocated
Counts
15 → 1
Calls
Call 1
Inputs
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))))
(*.f64 (atan.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64))))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x))))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64))))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))))))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x))))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 #s(literal 1/4 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) x))))) (*.f64 x x))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x))))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 #s(literal 1/4 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x))))) (*.f64 x x))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x))))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
Outputs
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
Calls

5 calls:

5.0ms
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
4.0ms
x
4.0ms
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
4.0ms
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
4.0ms
(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
100.0%1(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
100.0%1(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
100.0%1(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))
Compiler

Compiled 41 to 28 computations (31.7% saved)

regimes6.0ms (0%)

Memory
16.5MiB live, 16.5MiB allocated
Counts
14 → 1
Calls
Call 1
Inputs
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))))
(*.f64 (atan.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64))))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x))))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64))))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))))))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x))))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 #s(literal 1/4 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) x))))) (*.f64 x x))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x))))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 #s(literal 1/4 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x))))) (*.f64 x x))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x))))))))
Outputs
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 #s(literal 1/4 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) x))))) (*.f64 x x))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x))))))))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
99.5%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

Memory
13.4MiB live, 13.4MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))))
(*.f64 (atan.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64))))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x))))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64))))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))))))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x))))))))
Outputs
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
99.5%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Memory
-29.1MiB live, 10.3MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))))
(*.f64 (atan.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64))))))))
Outputs
(*.f64 (atan.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
99.5%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Memory
8.7MiB live, 8.7MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))))
Outputs
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
99.4%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory
7.2MiB live, 7.3MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))
Outputs
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
99.0%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory
5.8MiB live, 5.7MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
Outputs
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
Calls

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
99.0%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Memory
6.9MiB live, 6.9MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
97.5%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify50.0ms (0.4%)

Memory
-4.7MiB live, 75.3MiB allocated
Algorithm
egg-herbie
Rules
348×distribute-lft-neg-in_binary64
198×neg-mul-1_binary64
172×neg-sub0_binary64
144×distribute-neg-in_binary64
140×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
058118
1104118
2135118
3170117
4227117
5327117
6472117
7586117
8694117
9787117
10871117
11957117
121031117
131062117
141073117
151082117
161085117
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 #s(literal 1/4 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) x))))) (*.f64 x x))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x))))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (atan.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64))
Outputs
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 #s(literal 1/4 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) x))))) (*.f64 x x))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x))))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))))) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 x #s(literal -1 binary64)))))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))))))
(*.f64 (atan.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (atan.f64 #s(literal 1 binary64)))

soundness2.5s (20.7%)

Memory
32.2MiB live, 3 368.9MiB allocated
Rules
11 576×accelerator-lowering-fma.f32
11 576×accelerator-lowering-fma.f64
11 260×accelerator-lowering-fma.f32
11 260×accelerator-lowering-fma.f64
10 954×accelerator-lowering-fma.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
022121
1105121
2886115
08449102
02351749
16631733
218051641
374871639
083961558
0107541
1276480
2764466
32114454
46114448
08084437
0936
14636
233336
345918
098298
02022066
15852032
215551936
346521908
085721814
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 304 to 187 computations (38.5% saved)

preprocess61.0ms (0.5%)

Memory
-19.4MiB live, 144.1MiB allocated
Compiler

Compiled 260 to 130 computations (50% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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