arccos

Time bar (total: 8.6s)

analyze6.0ms (0.1%)

Algorithm
1×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 10 computations (23.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-div: 1.0ms (34.7% of total)
ival-sqrt: 1.0ms (34.7% of total)
ival-sub: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)
ival-atan: 0.0ms (0% of total)

sample805.0ms (9.4%)

Results
592.0ms8256×0valid
1.0ms18×0invalid
Precisions
Click to see histograms. Total time spent on operations: 408.0ms
ival-atan: 87.0ms (21.3% of total)
ival-sqrt: 78.0ms (19.1% of total)
ival-mult: 68.0ms (16.6% of total)
ival-sub: 58.0ms (14.2% of total)
ival-div: 55.0ms (13.5% of total)
ival-add: 44.0ms (10.8% of total)
const: 14.0ms (3.4% of total)
backward-pass: 3.0ms (0.7% of total)
Bogosity

preprocess69.0ms (0.8%)

Algorithm
2×egg-herbie
Rules
1016×fnmadd-define
792×sum3-define
642×fma-define
532×fmsub-define
516×fnmsub-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01735
14233
27433
315133
432133
575733
6206933
7308633
8340933
0911
11811
22511
33711
46311
510911
618111
728911
866011
9121311
10169611
11171611
0171611
Stop Event
1×iter limit
1×saturated
1×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)

explain80.0ms (0.9%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-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-(/.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 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
Results
50.0ms512×0valid
Compiler

Compiled 104 to 29 computations (72.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-mult: 6.0ms (23.5% of total)
ival-sqrt: 5.0ms (19.6% of total)
ival-atan: 5.0ms (19.6% of total)
ival-sub: 3.0ms (11.8% of total)
ival-div: 3.0ms (11.8% of total)
ival-add: 3.0ms (11.8% of total)
const: 1.0ms (3.9% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 12 to 9 computations (25% saved)

prune1.0ms (0%)

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)

simplify29.0ms (0.3%)

Algorithm
1×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
446×fnmadd-define
400×sum3-define
324×fma-define
294×fmsub-define
282×fnmsub-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0944
11844
22544
33744
46344
510944
618144
728944
866044
9121344
10169644
11171644
0171644
Stop Event
1×iter limit
1×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)

localize43.0ms (0.5%)

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%
(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))
Results
25.0ms256×0valid
Compiler

Compiled 46 to 10 computations (78.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-sub: 2.0ms (17.5% of total)
ival-div: 2.0ms (17.5% of total)
ival-mult: 2.0ms (17.5% of total)
ival-sqrt: 2.0ms (17.5% of total)
ival-atan: 2.0ms (17.5% of total)
ival-add: 1.0ms (8.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series4.0ms (0%)

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

rewrite225.0ms (2.6%)

Algorithm
1×batch-egg-rewrite
Rules
2432×/-lowering-/.f32
2432×/-lowering-/.f64
2382×*-lowering-*.f32
2382×*-lowering-*.f64
1310×fma-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0935
14635
234735
3481135
0813335
Stop Event
1×iter limit
1×node limit
Counts
4 → 237
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 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
(neg.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(/.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))
(/.f64 (sqrt.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal -1 binary64) x) x))) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) 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)))) (sqrt.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))))))
(/.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x))))
(*.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
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(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.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 #s(literal 1 binary64) x))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) 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 (-.f64 #s(literal -1 binary64) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (+.f64 x #s(literal -1 binary64)))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) 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 (-.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) x) (+.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 (-.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 #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 (*.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.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 (*.f64 x x)))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #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) (*.f64 x (+.f64 x #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) (*.f64 x (*.f64 x x)))) (*.f64 (-.f64 #s(literal 1 binary64) 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)))) (/.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 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) 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 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (-.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 (*.f64 x x)))) (/.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 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 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 (*.f64 x x))) #s(literal 1 binary64)) (/.f64 (/.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 (/.f64 (-.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 x x))))) (/.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 (+.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) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (/.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 x (*.f64 x 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 #s(literal -1 binary64)))))))
(*.f64 (/.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 x 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) x))))
(*.f64 (/.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 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (/.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) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #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 (-.f64 #s(literal 1 binary64) (*.f64 x 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) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 x #s(literal -1 binary64)))
(*.f64 (*.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 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 x x) #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x (+.f64 #s(literal 1 binary64) x))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))))
(*.f64 (/.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 (+.f64 #s(literal 1 binary64) x) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))

simplify197.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
2544×*-lowering-*.f32
2544×*-lowering-*.f64
1990×+-lowering-+.f64
1990×+-lowering-+.f32
1986×fma-lowering-fma.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0107519
1313449
2908437
32496429
08510429
Stop Event
1×iter limit
1×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 x (*.f64 (-.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) 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 -1/2 binary64) x) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 #s(literal -1 binary64)))))
(+ (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 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x) (*.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 (/.f64 #s(literal 1 binary64) 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 -1/2 binary64) x) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 #s(literal -1 binary64)))))
(+ (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 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 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 x #s(literal -2 binary64)))))))
-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))

eval52.0ms (0.6%)

Compiler

Compiled 6693 to 1310 computations (80.4% saved)

prune30.0ms (0.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New2805285
Fresh000
Picked011
Done000
Total2806286
Accuracy
100.0%
Counts
286 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.6%
(*.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 #s(literal -1 binary64) (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))))))
▶98.8%
(*.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) (*.f64 x x)) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x))))))
✓100.0%
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
▶97.6%
(*.f64 #s(literal 2 binary64) (atan.f64 #s(literal 1 binary64)))
Compiler

Compiled 132 to 103 computations (22% saved)

simplify175.0ms (2%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))
✓cost-diff128
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))))
✓cost-diff128
(atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))))
✓cost-diff128
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) 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)))))))
✓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
(atan.f64 #s(literal 1 binary64))
✓cost-diff0
(*.f64 #s(literal 2 binary64) (atan.f64 #s(literal 1 binary64)))
✓cost-diff384
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)))
✓cost-diff384
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x))))
✓cost-diff384
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)))))
✓cost-diff384
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x))))))
Rules
1612×fma-lowering-fma.f32
1612×fma-lowering-fma.f64
1578×fnmsub-define
1526×fmsub-define
1418×*-lowering-*.f32
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
031239
171223
2174218
3358211
41122211
54121190
67249190
77944190
08156190
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* 2 (atan (sqrt (/ (- 1 (* x x)) (* (- -1 x) (- -1 x))))))
2
(atan (sqrt (/ (- 1 (* x x)) (* (- -1 x) (- -1 x)))))
(sqrt (/ (- 1 (* x x)) (* (- -1 x) (- -1 x))))
(/ (- 1 (* x x)) (* (- -1 x) (- -1 x)))
(- 1 (* x x))
1
(* x x)
x
(* (- -1 x) (- -1 x))
(- -1 x)
-1
(* 2 (atan 1))
2
(atan 1)
1
(* 2 (atan (- 1 x)))
2
(atan (- 1 x))
(- 1 x)
1
x
(* 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 (* x (* (- 1 x) 1/2)))))))
2
(atan (+ 1 (* x (+ -1 (* x (* (- 1 x) 1/2))))))
(+ 1 (* x (+ -1 (* x (* (- 1 x) 1/2)))))
1
(* x (+ -1 (* x (* (- 1 x) 1/2))))
x
(+ -1 (* x (* (- 1 x) 1/2)))
-1
(* x (* (- 1 x) 1/2))
(* (- 1 x) 1/2)
(- 1 x)
1/2
Outputs
(* 2 (atan (sqrt (/ (- 1 (* x x)) (* (- -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 x)) (* (- -1 x) (- -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(sqrt (/ (- 1 (* x x)) (* (- -1 x) (- -1 x))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
(/ (- 1 (* x x)) (* (- -1 x) (- -1 x)))
(/.f64 (-.f64 #s(literal 1 binary64) 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) (- -1 x))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) x)))
(- -1 x)
(-.f64 #s(literal -1 binary64) x)
-1
#s(literal -1 binary64)
(* 2 (atan 1))
(*.f64 #s(literal 2 binary64) (atan.f64 #s(literal 1 binary64)))
2
#s(literal 2 binary64)
(atan 1)
(atan.f64 #s(literal 1 binary64))
1
#s(literal 1 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
(* 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 (* x (* (- 1 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 (* x (* (- 1 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 (* x (* (- 1 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 (* x (* (- 1 x) 1/2))))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))
x
(+ -1 (* x (* (- 1 x) 1/2)))
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))
-1
#s(literal -1 binary64)
(* x (* (- 1 x) 1/2))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))
(* (- 1 x) 1/2)
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
1/2
#s(literal 1/2 binary64)

localize145.0ms (1.7%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))))))
✓accuracy100.0%
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))
✓accuracy100.0%
(atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))))
✓accuracy100.0%
(*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) 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 #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))))
✓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 #s(literal 1 binary64)))
✓accuracy100.0%
(atan.f64 #s(literal 1 binary64))
✓accuracy100.0%
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)))))
✓accuracy100.0%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)))
✓accuracy100.0%
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x))))
✓accuracy99.9%
(*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x))
Results
96.0ms256×0valid
Compiler

Compiled 241 to 32 computations (86.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 51.0ms
ival-mult: 27.0ms (53.1% of total)
ival-atan: 10.0ms (19.7% of total)
ival-add: 5.0ms (9.8% of total)
ival-sub: 4.0ms (7.9% of total)
ival-div: 2.0ms (3.9% of total)
ival-sqrt: 2.0ms (3.9% of total)
const: 1.0ms (2% of total)
backward-pass: 0.0ms (0% of total)

series17.0ms (0.2%)

Counts
19 → 204
Calls
Call 1
Inputs
#<alt (* 2 (atan (sqrt (/ (- 1 (* x x)) (* (- -1 x) (- -1 x))))))>
#<alt (atan (sqrt (/ (- 1 (* x x)) (* (- -1 x) (- -1 x)))))>
#<alt (sqrt (/ (- 1 (* x x)) (* (- -1 x) (- -1 x))))>
#<alt (/ (- 1 (* x x)) (* (- -1 x) (- -1 x)))>
#<alt (* 2 (atan 1))>
#<alt (atan 1)>
#<alt (* 2 (atan (- 1 x)))>
#<alt (atan (- 1 x))>
#<alt (- 1 x)>
#<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 (* 2 (atan (+ 1 (* x (+ -1 (* x (* (- 1 x) 1/2)))))))>
#<alt (atan (+ 1 (* x (+ -1 (* x (* (- 1 x) 1/2))))))>
#<alt (+ 1 (* x (+ -1 (* x (* (- 1 x) 1/2)))))>
#<alt (* x (+ -1 (* x (* (- 1 x) 1/2))))>
#<alt (* (- -1 x) (- -1 x))>
#<alt (* x (* (- 1 x) 1/2))>
Outputs
#<alt (* 2 (atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2))))))>
#<alt (* 2 (atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2))))))>
#<alt (* 2 (atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2))))))>
#<alt (* 2 (atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2))))))>
#<alt (* 2 (atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2))))))>
#<alt (* 2 (atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2))))))>
#<alt (* 2 (atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2))))))>
#<alt (* 2 (atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2))))))>
#<alt (* 2 (atan (* (sqrt (- 1 (pow x 2))) (/ 1 (- (* -1 x) 1)))))>
#<alt (* 2 (atan (* (sqrt (- 1 (pow x 2))) (/ 1 (- (* -1 x) 1)))))>
#<alt (* 2 (atan (* (sqrt (- 1 (pow x 2))) (/ 1 (- (* -1 x) 1)))))>
#<alt (* 2 (atan (* (sqrt (- 1 (pow x 2))) (/ 1 (- (* -1 x) 1)))))>
#<alt (atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2)))))>
#<alt (atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2)))))>
#<alt (atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2)))))>
#<alt (atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2)))))>
#<alt (atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2)))))>
#<alt (atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2)))))>
#<alt (atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2)))))>
#<alt (atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2)))))>
#<alt (atan (* (sqrt (- 1 (pow x 2))) (/ 1 (- (* -1 x) 1))))>
#<alt (atan (* (sqrt (- 1 (pow x 2))) (/ 1 (- (* -1 x) 1))))>
#<alt (atan (* (sqrt (- 1 (pow x 2))) (/ 1 (- (* -1 x) 1))))>
#<alt (atan (* (sqrt (- 1 (pow x 2))) (/ 1 (- (* -1 x) 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 (sqrt -1)>
#<alt (+ (sqrt -1) (* -1 (/ (sqrt -1) x)))>
#<alt (+ (sqrt -1) (+ (* -1 (/ (sqrt -1) x)) (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (/ (sqrt -1) (pow x 2)))))>
#<alt (- (+ (sqrt -1) (+ (* -1 (/ (sqrt -1) x)) (+ (* -1 (/ (sqrt -1) (pow x 3))) (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (/ (sqrt -1) (pow x 2)))))) (/ 1/2 (* (pow x 3) (sqrt -1))))>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (* -1 (/ (sqrt -1) x)))>
#<alt (+ (sqrt -1) (* -1 (/ (+ (sqrt -1) (* -1 (/ (+ (sqrt -1) (* 1/2 (/ 1 (sqrt -1)))) x))) x)))>
#<alt (+ (sqrt -1) (* -1 (/ (+ (sqrt -1) (* -1 (/ (+ (sqrt -1) (+ (* -1 (/ (+ (sqrt -1) (* 1/2 (/ 1 (sqrt -1)))) x)) (* 1/2 (/ 1 (sqrt -1))))) x))) 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)>
#<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 (* 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 (* 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>
#<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 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 1>
#<alt (+ 1 (* 2 x))>
#<alt (+ 1 (* x (+ 2 x)))>
#<alt (+ 1 (* x (+ 2 x)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<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

51 calls:

TimeVariablePointExpression
5.0ms
x
@inf
(* 2 (atan (+ 1 (* x (+ -1 (* x (* (- 1 x) 1/2)))))))
1.0ms
x
@0
(+ 1 (* x (+ -1 (* x 1/2))))
1.0ms
x
@-inf
(* 2 (atan (sqrt (/ (- 1 (* x x)) (* (- -1 x) (- -1 x))))))
1.0ms
x
@-inf
(* 2 (atan (+ 1 (* x (+ -1 (* x (* (- 1 x) 1/2)))))))
0.0ms
x
@-inf
(* 2 (atan (+ 1 (* x (+ -1 (* x 1/2))))))

rewrite336.0ms (3.9%)

Algorithm
1×batch-egg-rewrite
Rules
3676×/-lowering-/.f32
3676×/-lowering-/.f64
2692×*-lowering-*.f32
2692×*-lowering-*.f64
1916×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031174
1152144
21366144
08647144
Stop Event
1×iter limit
1×node limit
Counts
19 → 457
Calls
Call 1
Inputs
(* 2 (atan (sqrt (/ (- 1 (* x x)) (* (- -1 x) (- -1 x))))))
(atan (sqrt (/ (- 1 (* x x)) (* (- -1 x) (- -1 x)))))
(sqrt (/ (- 1 (* x x)) (* (- -1 x) (- -1 x))))
(/ (- 1 (* x x)) (* (- -1 x) (- -1 x)))
(* 2 (atan 1))
(atan 1)
(* 2 (atan (- 1 x)))
(atan (- 1 x))
(- 1 x)
(* 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)))
(* 2 (atan (+ 1 (* x (+ -1 (* x (* (- 1 x) 1/2)))))))
(atan (+ 1 (* x (+ -1 (* x (* (- 1 x) 1/2))))))
(+ 1 (* x (+ -1 (* x (* (- 1 x) 1/2)))))
(* x (+ -1 (* x (* (- 1 x) 1/2))))
(* (- -1 x) (- -1 x))
(* x (* (- 1 x) 1/2))
Outputs
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)))))
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))) #s(literal 1/2 binary64)))
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 x #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal -1 binary64) x))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (sqrt.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.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 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (sqrt.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)))))
(/.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) x)))
(/.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) x))))
(/.f64 (sqrt.f64 (-.f64 (*.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) x)) (*.f64 x x)))) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)))
(/.f64 (sqrt.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) 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) x))) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)))) (*.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x))) (/.f64 (/.f64 (*.f64 x x) (*.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) x)) (*.f64 x x)))))) (sqrt.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x))) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x))) (+.f64 (/.f64 (/.f64 (*.f64 x x) (*.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) x)) (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.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 #s(literal -1 binary64) x))))))))
(/.f64 (sqrt.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x))) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x))) (/.f64 (/.f64 (*.f64 x x) (*.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) x)) (*.f64 x x))))) (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.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 #s(literal -1 binary64) x))))))
(/.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))))))
(/.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)))) (hypot.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)))) (neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64)))) (neg.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) x))))
(pow.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)) (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x))) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(*.f64 (pow.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))))
(*.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x))))
(*.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))
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(*.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 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(*.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 x #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 (*.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 x #s(literal -1 binary64)))) (+.f64 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 x #s(literal -1 binary64))))) #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 x #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x 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 x #s(literal -1 binary64))))
(*.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 x #s(literal -1 binary64))))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(*.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 x #s(literal -1 binary64))))))
(*.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) 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 x #s(literal -1 binary64))))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64))))
(*.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 x #s(literal -1 binary64))))))
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))) x))
(neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))) x))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))
(*.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))) x))
(*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) x))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)) x)
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))

simplify221.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
2306×*-lowering-*.f32
2306×*-lowering-*.f64
1824×+-lowering-+.f64
1824×+-lowering-+.f32
1696×fma-lowering-fma.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01831840
15321702
215561600
352501595
082991595
Stop Event
1×iter limit
1×node limit
Counts
204 → 204
Calls
Call 1
Inputs
(* 2 (atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2))))))
(* 2 (atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2))))))
(* 2 (atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2))))))
(* 2 (atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2))))))
(* 2 (atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2))))))
(* 2 (atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2))))))
(* 2 (atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2))))))
(* 2 (atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2))))))
(* 2 (atan (* (sqrt (- 1 (pow x 2))) (/ 1 (- (* -1 x) 1)))))
(* 2 (atan (* (sqrt (- 1 (pow x 2))) (/ 1 (- (* -1 x) 1)))))
(* 2 (atan (* (sqrt (- 1 (pow x 2))) (/ 1 (- (* -1 x) 1)))))
(* 2 (atan (* (sqrt (- 1 (pow x 2))) (/ 1 (- (* -1 x) 1)))))
(atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2)))))
(atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2)))))
(atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2)))))
(atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2)))))
(atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2)))))
(atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2)))))
(atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2)))))
(atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2)))))
(atan (* (sqrt (- 1 (pow x 2))) (/ 1 (- (* -1 x) 1))))
(atan (* (sqrt (- 1 (pow x 2))) (/ 1 (- (* -1 x) 1))))
(atan (* (sqrt (- 1 (pow x 2))) (/ 1 (- (* -1 x) 1))))
(atan (* (sqrt (- 1 (pow x 2))) (/ 1 (- (* -1 x) 1))))
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))
(sqrt -1)
(+ (sqrt -1) (* -1 (/ (sqrt -1) x)))
(+ (sqrt -1) (+ (* -1 (/ (sqrt -1) x)) (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (/ (sqrt -1) (pow x 2)))))
(- (+ (sqrt -1) (+ (* -1 (/ (sqrt -1) x)) (+ (* -1 (/ (sqrt -1) (pow x 3))) (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (/ (sqrt -1) (pow x 2)))))) (/ 1/2 (* (pow x 3) (sqrt -1))))
(sqrt -1)
(+ (sqrt -1) (* -1 (/ (sqrt -1) x)))
(+ (sqrt -1) (* -1 (/ (+ (sqrt -1) (* -1 (/ (+ (sqrt -1) (* 1/2 (/ 1 (sqrt -1)))) x))) x)))
(+ (sqrt -1) (* -1 (/ (+ (sqrt -1) (* -1 (/ (+ (sqrt -1) (+ (* -1 (/ (+ (sqrt -1) (* 1/2 (/ 1 (sqrt -1)))) x)) (* 1/2 (/ 1 (sqrt -1))))) x))) 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)
(* 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))))
(* 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)))
(* 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
(+ 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 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)))))
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 x)))
(+ 1 (* x (+ 2 x)))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(* 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 (+ 1 x)) (sqrt (- 1 (pow x 2))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x))))
(* 2 (atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x))))
(* 2 (atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x))))
(* 2 (atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x))))
(* 2 (atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x))))
(* 2 (atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x))))
(* 2 (atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x))))
(* 2 (atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x))))
(* 2 (atan (* (sqrt (- 1 (pow x 2))) (/ 1 (- (* -1 x) 1)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal -1 binary64) x))))
(* 2 (atan (* (sqrt (- 1 (pow x 2))) (/ 1 (- (* -1 x) 1)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal -1 binary64) x))))
(* 2 (atan (* (sqrt (- 1 (pow x 2))) (/ 1 (- (* -1 x) 1)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal -1 binary64) x))))
(* 2 (atan (* (sqrt (- 1 (pow x 2))) (/ 1 (- (* -1 x) 1)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal -1 binary64) x))))
(atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2)))))
(atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x)))
(atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2)))))
(atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x)))
(atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2)))))
(atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x)))
(atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2)))))
(atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x)))
(atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2)))))
(atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x)))
(atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2)))))
(atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x)))
(atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2)))))
(atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x)))
(atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2)))))
(atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x)))
(atan (* (sqrt (- 1 (pow x 2))) (/ 1 (- (* -1 x) 1))))
(atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal -1 binary64) x)))
(atan (* (sqrt (- 1 (pow x 2))) (/ 1 (- (* -1 x) 1))))
(atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal -1 binary64) x)))
(atan (* (sqrt (- 1 (pow x 2))) (/ 1 (- (* -1 x) 1))))
(atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal -1 binary64) x)))
(atan (* (sqrt (- 1 (pow x 2))) (/ 1 (- (* -1 x) 1))))
(atan.f64 (/.f64 (sqrt.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 (* 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) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) x))
(sqrt -1)
(sqrt.f64 #s(literal -1 binary64))
(+ (sqrt -1) (* -1 (/ (sqrt -1) x)))
(-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) x))
(+ (sqrt -1) (+ (* -1 (/ (sqrt -1) x)) (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (/ (sqrt -1) (pow x 2)))))
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1
#s(literal 1 binary64)
(+ 1 (* -1 x))
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(* 1/2 (pow x 2))
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(* (pow x 2) (- 1/2 (/ 1 x)))
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(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x))))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (*.f64 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 x) (*.f64 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 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x)))))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x))))
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (- 1/2 (/ 1 x)) x)))))
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x))))
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))) x)))))
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x))))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (* 1/2 x) 1))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(* x (- (* x (+ 1/2 (* -1/2 x))) 1))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x)))))
(* x (- (* x (+ 1/2 (* -1/2 x))) 1))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x)))))
(* -1/2 (pow x 3))
(*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x))))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (*.f64 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)) (+ 1/2 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (*.f64 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 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x)))))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x))))
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (- 1/2 (/ 1 x)) x)))))
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x))))
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (- 1/2 (/ 1 x)) x)))))
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x))))
1
#s(literal 1 binary64)
(+ 1 (* 2 x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x))
(+ 1 (* x (+ 2 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) x)))
(+ 1 (* x (+ 2 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) x)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) x)))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) x)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) x)))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) x)))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* -1/2 x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x)))
(* x (+ 1/2 (* -1/2 x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x)))
(* x (+ 1/2 (* -1/2 x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x)))
(* -1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x)))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x)))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x)))
(* -1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x)))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x)))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x)))

eval92.0ms (1.1%)

Compiler

Compiled 19215 to 2789 computations (85.5% saved)

prune101.0ms (1.2%)

Pruning

12 alts after pruning (7 fresh and 5 done)

PrunedKeptTotal
New7117718
Fresh000
Picked145
Done011
Total71212724
Accuracy
100.0%
Counts
724 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (sqrt.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) (/.f64 (+.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))) #s(literal -1 binary64)) (+.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))) #s(literal -1 binary64))))))
✓98.6%
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
▶98.8%
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))
99.0%
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))))))
✓99.0%
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))))))
✓98.8%
(*.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)))))))
▶99.0%
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) x))))
▶37.2%
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x))))))
▶4.3%
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 x (*.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)))))
✓97.6%
(*.f64 #s(literal 2 binary64) (atan.f64 #s(literal 1 binary64)))
Compiler

Compiled 382 to 228 computations (40.3% saved)

simplify166.0ms (1.9%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff128
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)))
✓cost-diff128
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x))))
✓cost-diff128
(atan.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)))))
✓cost-diff128
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x))))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
✓cost-diff0
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) x))
✓cost-diff0
(atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (-.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 1/2 binary64)))) (-.f64 #s(literal 1 binary64) x))))
✓cost-diff0
(-.f64 #s(literal 1 binary64) x)
✓cost-diff0
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
✓cost-diff0
(atan.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
✓cost-diff0
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))
✓cost-diff0
(*.f64 x #s(literal 1/2 binary64))
✓cost-diff0
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
✓cost-diff0
(atan.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
✓cost-diff0
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
✓cost-diff0
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
✓cost-diff0
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x))
✓cost-diff0
(atan.f64 (/.f64 (sqrt.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 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x))))
Rules
2164×fnmadd-define
2156×sum4-define
1620×sum3-define
1566×*-lowering-*.f32
1566×*-lowering-*.f64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
035309
173296
2171291
3367288
4994287
53196282
08170282
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* 2 (atan (/ (sqrt (- 1 (* x x))) (+ 1 x))))
2
(atan (/ (sqrt (- 1 (* x x))) (+ 1 x)))
(/ (sqrt (- 1 (* x x))) (+ 1 x))
(sqrt (- 1 (* x x)))
(- 1 (* x x))
1
(* x x)
x
(+ 1 x)
(* 2 (atan (* x (* x 1/2))))
2
(atan (* x (* x 1/2)))
(* x (* x 1/2))
x
(* x 1/2)
1/2
(* 2 (atan (+ (- 1 x) (* x (* x 1/2)))))
2
(atan (+ (- 1 x) (* x (* x 1/2))))
(+ (- 1 x) (* x (* x 1/2)))
(- 1 x)
1
x
(* x (* x 1/2))
(* x 1/2)
1/2
(* 2 (atan (* (+ 1 (* x (* x 1/2))) (- 1 x))))
2
(atan (* (+ 1 (* x (* x 1/2))) (- 1 x)))
(* (+ 1 (* x (* x 1/2))) (- 1 x))
(+ 1 (* x (* x 1/2)))
1
(* x (* x 1/2))
x
(* x 1/2)
1/2
(- 1 x)
(* 2 (atan (* x (* (* x x) (+ -1/2 (/ (+ 1/2 (/ (+ -1 (/ 1 x)) x)) x))))))
2
(atan (* x (* (* x x) (+ -1/2 (/ (+ 1/2 (/ (+ -1 (/ 1 x)) x)) x)))))
(* x (* (* x x) (+ -1/2 (/ (+ 1/2 (/ (+ -1 (/ 1 x)) x)) x))))
x
(* (* x x) (+ -1/2 (/ (+ 1/2 (/ (+ -1 (/ 1 x)) x)) x)))
(* x x)
(+ -1/2 (/ (+ 1/2 (/ (+ -1 (/ 1 x)) x)) x))
-1/2
(/ (+ 1/2 (/ (+ -1 (/ 1 x)) x)) x)
(+ 1/2 (/ (+ -1 (/ 1 x)) x))
1/2
(/ (+ -1 (/ 1 x)) x)
(+ -1 (/ 1 x))
-1
(/ 1 x)
1
Outputs
(* 2 (atan (/ (sqrt (- 1 (* x x))) (+ 1 x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x))))
2
#s(literal 2 binary64)
(atan (/ (sqrt (- 1 (* x x))) (+ 1 x)))
(atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x)))
(/ (sqrt (- 1 (* x x))) (+ 1 x))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x))
(sqrt (- 1 (* x x)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x 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 (* x (* x 1/2))))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
2
#s(literal 2 binary64)
(atan (* x (* x 1/2)))
(atan.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(* x (* x 1/2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
x
(* x 1/2)
(*.f64 x #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(* 2 (atan (+ (- 1 x) (* x (* x 1/2)))))
(*.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
#s(literal 2 binary64)
(atan (+ (- 1 x) (* x (* x 1/2))))
(atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(+ (- 1 x) (* x (* x 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(* x (* x 1/2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(* x 1/2)
(*.f64 x #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(* 2 (atan (* (+ 1 (* x (* x 1/2))) (- 1 x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))))
2
#s(literal 2 binary64)
(atan (* (+ 1 (* x (* x 1/2))) (- 1 x)))
(atan.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))
(* (+ 1 (* x (* x 1/2))) (- 1 x))
(*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
(+ 1 (* x (* x 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
1
#s(literal 1 binary64)
(* x (* x 1/2))
(*.f64 (*.f64 x 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 x)
(-.f64 #s(literal 1 binary64) x)
(* 2 (atan (* x (* (* x x) (+ -1/2 (/ (+ 1/2 (/ (+ -1 (/ 1 x)) x)) x))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 x (*.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (*.f64 x #s(literal -1/2 binary64)))))))
2
#s(literal 2 binary64)
(atan (* x (* (* x x) (+ -1/2 (/ (+ 1/2 (/ (+ -1 (/ 1 x)) x)) x)))))
(atan.f64 (*.f64 x (*.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (*.f64 x #s(literal -1/2 binary64))))))
(* x (* (* x x) (+ -1/2 (/ (+ 1/2 (/ (+ -1 (/ 1 x)) x)) x))))
(*.f64 x (*.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (*.f64 x #s(literal -1/2 binary64)))))
x
(* (* x x) (+ -1/2 (/ (+ 1/2 (/ (+ -1 (/ 1 x)) x)) x)))
(*.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (*.f64 x #s(literal -1/2 binary64))))
(* x x)
(*.f64 x x)
(+ -1/2 (/ (+ 1/2 (/ (+ -1 (/ 1 x)) x)) x))
(+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x))
-1/2
#s(literal -1/2 binary64)
(/ (+ 1/2 (/ (+ -1 (/ 1 x)) x)) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)
(+ 1/2 (/ (+ -1 (/ 1 x)) x))
(+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x))
1/2
#s(literal 1/2 binary64)
(/ (+ -1 (/ 1 x)) x)
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) 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)
1
#s(literal 1 binary64)

localize1.5s (17.5%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)
✓accuracy99.8%
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
✓accuracy99.4%
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x))))
✓accuracy36.8%
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)))
✓accuracy100.0%
(*.f64 x #s(literal 1/2 binary64))
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) x))))
✓accuracy100.0%
(atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) x)))
✓accuracy100.0%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) x))
✓accuracy100.0%
(*.f64 x #s(literal 1/2 binary64))
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))
✓accuracy100.0%
(atan.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
✓accuracy100.0%
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x #s(literal 1/2 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 x (*.f64 x #s(literal 1/2 binary64))))
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
✓accuracy100.0%
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) (*.f64 x x))
✓accuracy100.0%
(atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x)))
✓accuracy100.0%
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x))
Results
290.0ms256×0valid
Compiler

Compiled 321 to 36 computations (88.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 59.0ms
ival-mult: 22.0ms (37% of total)
ival-atan: 17.0ms (28.6% of total)
ival-div: 8.0ms (13.5% of total)
ival-add: 7.0ms (11.8% of total)
ival-sub: 3.0ms (5% of total)
ival-sqrt: 2.0ms (3.4% of total)
const: 1.0ms (1.7% of total)
backward-pass: 0.0ms (0% of total)

series21.0ms (0.2%)

Counts
23 → 276
Calls
Call 1
Inputs
#<alt (* 2 (atan (/ (sqrt (- 1 (* x x))) (+ 1 x))))>
#<alt (atan (/ (sqrt (- 1 (* x x))) (+ 1 x)))>
#<alt (/ (sqrt (- 1 (* x x))) (+ 1 x))>
#<alt (sqrt (- 1 (* x x)))>
#<alt (* 2 (atan (* x (* x 1/2))))>
#<alt (atan (* x (* x 1/2)))>
#<alt (* x (* x 1/2))>
#<alt (* x 1/2)>
#<alt (* 2 (atan (+ (- 1 x) (* x (* x 1/2)))))>
#<alt (atan (+ (- 1 x) (* x (* x 1/2))))>
#<alt (+ (- 1 x) (* x (* x 1/2)))>
#<alt (- 1 x)>
#<alt (* 2 (atan (* (+ 1 (* x (* x 1/2))) (- 1 x))))>
#<alt (atan (* (+ 1 (* x (* x 1/2))) (- 1 x)))>
#<alt (* (+ 1 (* x (* x 1/2))) (- 1 x))>
#<alt (+ 1 (* x (* x 1/2)))>
#<alt (* 2 (atan (* x (* (* x x) (+ -1/2 (/ (+ 1/2 (/ (+ -1 (/ 1 x)) x)) x))))))>
#<alt (atan (* x (* (* x x) (+ -1/2 (/ (+ 1/2 (/ (+ -1 (/ 1 x)) x)) x)))))>
#<alt (* x (* (* x x) (+ -1/2 (/ (+ 1/2 (/ (+ -1 (/ 1 x)) x)) x))))>
#<alt (* (* x x) (+ -1/2 (/ (+ 1/2 (/ (+ -1 (/ 1 x)) x)) x)))>
#<alt (- 1 (* x x))>
#<alt (/ (+ -1 (/ 1 x)) x)>
#<alt (/ (+ 1/2 (/ (+ -1 (/ 1 x)) x)) x)>
Outputs
#<alt (* 2 (atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2))))))>
#<alt (* 2 (atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2))))))>
#<alt (* 2 (atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2))))))>
#<alt (* 2 (atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2))))))>
#<alt (* 2 (atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2))))))>
#<alt (* 2 (atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2))))))>
#<alt (* 2 (atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2))))))>
#<alt (* 2 (atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2))))))>
#<alt (* 2 (atan (* (/ 1 (- 1 (* -1 x))) (sqrt (- 1 (pow x 2))))))>
#<alt (* 2 (atan (* (/ 1 (- 1 (* -1 x))) (sqrt (- 1 (pow x 2))))))>
#<alt (* 2 (atan (* (/ 1 (- 1 (* -1 x))) (sqrt (- 1 (pow x 2))))))>
#<alt (* 2 (atan (* (/ 1 (- 1 (* -1 x))) (sqrt (- 1 (pow x 2))))))>
#<alt (atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2)))))>
#<alt (atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2)))))>
#<alt (atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2)))))>
#<alt (atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2)))))>
#<alt (atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2)))))>
#<alt (atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2)))))>
#<alt (atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2)))))>
#<alt (atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2)))))>
#<alt (atan (* (/ 1 (- 1 (* -1 x))) (sqrt (- 1 (pow x 2)))))>
#<alt (atan (* (/ 1 (- 1 (* -1 x))) (sqrt (- 1 (pow x 2)))))>
#<alt (atan (* (/ 1 (- 1 (* -1 x))) (sqrt (- 1 (pow x 2)))))>
#<alt (atan (* (/ 1 (- 1 (* -1 x))) (sqrt (- 1 (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 (sqrt -1)>
#<alt (+ (sqrt -1) (* -1 (/ (sqrt -1) x)))>
#<alt (+ (sqrt -1) (+ (* -1 (/ (sqrt -1) x)) (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (/ (sqrt -1) (pow x 2)))))>
#<alt (- (+ (sqrt -1) (+ (* -1 (/ (sqrt -1) x)) (+ (* -1 (/ (sqrt -1) (pow x 3))) (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (/ (sqrt -1) (pow x 2)))))) (/ 1/2 (* (pow x 3) (sqrt -1))))>
#<alt (* -1 (sqrt -1))>
#<alt (+ (* -1 (sqrt -1)) (/ (sqrt -1) x))>
#<alt (+ (* -1 (sqrt -1)) (* -1 (/ (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1)))) x))) x)))>
#<alt (+ (* -1 (sqrt -1)) (* -1 (/ (+ (* -1 (sqrt -1)) (* -1 (/ (- (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1)))) x))) (* 1/2 (/ 1 (sqrt -1)))) x))) x)))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))>
#<alt (* x (sqrt -1))>
#<alt (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))>
#<alt (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))>
#<alt (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))>
#<alt (* -1 (* x (sqrt -1)))>
#<alt (* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))>
#<alt (* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))>
#<alt (* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))>
#<alt (* 2 (atan (* 1/2 (pow x 2))))>
#<alt (* 2 (atan (* 1/2 (pow x 2))))>
#<alt (* 2 (atan (* 1/2 (pow x 2))))>
#<alt (* 2 (atan (* 1/2 (pow x 2))))>
#<alt (* 2 (atan (* 1/2 (pow x 2))))>
#<alt (* 2 (atan (* 1/2 (pow x 2))))>
#<alt (* 2 (atan (* 1/2 (pow x 2))))>
#<alt (* 2 (atan (* 1/2 (pow x 2))))>
#<alt (* 2 (atan (* 1/2 (pow x 2))))>
#<alt (* 2 (atan (* 1/2 (pow x 2))))>
#<alt (* 2 (atan (* 1/2 (pow x 2))))>
#<alt (* 2 (atan (* 1/2 (pow x 2))))>
#<alt (atan (* 1/2 (pow x 2)))>
#<alt (atan (* 1/2 (pow x 2)))>
#<alt (atan (* 1/2 (pow x 2)))>
#<alt (atan (* 1/2 (pow x 2)))>
#<alt (atan (* 1/2 (pow x 2)))>
#<alt (atan (* 1/2 (pow x 2)))>
#<alt (atan (* 1/2 (pow x 2)))>
#<alt (atan (* 1/2 (pow x 2)))>
#<alt (atan (* 1/2 (pow x 2)))>
#<alt (atan (* 1/2 (pow x 2)))>
#<alt (atan (* 1/2 (pow x 2)))>
#<alt (atan (* 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))>
#<alt (* 1/2 (pow x 2))>
#<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 (* 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 (* 1/2 (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 (* 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 (* 1/2 (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>
#<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 (* 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 (* 2 (atan (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2)))))))>
#<alt (* 2 (atan (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2)))))))>
#<alt (* 2 (atan (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2)))))))>
#<alt (* 2 (atan (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2)))))))>
#<alt (* 2 (atan (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2)))))))>
#<alt (* 2 (atan (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2)))))))>
#<alt (* 2 (atan (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2)))))))>
#<alt (* 2 (atan (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2)))))))>
#<alt (* 2 (atan (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2)))))))>
#<alt (* 2 (atan (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2)))))))>
#<alt (* 2 (atan (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2)))))))>
#<alt (* 2 (atan (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2)))))))>
#<alt (atan (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2))))))>
#<alt (atan (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2))))))>
#<alt (atan (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2))))))>
#<alt (atan (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2))))))>
#<alt (atan (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2))))))>
#<alt (atan (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2))))))>
#<alt (atan (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2))))))>
#<alt (atan (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2))))))>
#<alt (atan (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2))))))>
#<alt (atan (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2))))))>
#<alt (atan (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2))))))>
#<alt (atan (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (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 x)>
#<alt (/ (+ 1 (* -1 x)) x)>
#<alt (/ (+ 1 (* x (- (* 1/2 x) 1))) x)>
#<alt (/ (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))) 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 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2)))))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))>
#<alt (* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/2))>
#<alt (* (pow x 2) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1/2) x)) 1/2))>
#<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 (pow x 2))>
#<alt (/ (+ 1 (* -1 x)) (pow x 2))>
#<alt (/ (+ 1 (* -1 x)) (pow x 2))>
#<alt (/ (+ 1 (* -1 x)) (pow x 2))>
#<alt (/ -1 x)>
#<alt (/ (- (/ 1 x) 1) x)>
#<alt (/ (- (/ 1 x) 1) x)>
#<alt (/ (- (/ 1 x) 1) x)>
#<alt (/ -1 x)>
#<alt (* -1 (/ (- 1 (/ 1 x)) x))>
#<alt (* -1 (/ (- 1 (/ 1 x)) x))>
#<alt (* -1 (/ (- 1 (/ 1 x)) x))>
#<alt (/ 1 (pow x 3))>
#<alt (/ (+ 1 (* -1 x)) (pow x 3))>
#<alt (/ (+ 1 (* x (- (* 1/2 x) 1))) (pow x 3))>
#<alt (/ (+ 1 (* x (- (* 1/2 x) 1))) (pow x 3))>
#<alt (/ 1/2 x)>
#<alt (/ (- 1/2 (/ 1 x)) x)>
#<alt (/ (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x)) x)>
#<alt (/ (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x)) x)>
#<alt (/ 1/2 x)>
#<alt (* -1 (/ (- (/ 1 x) 1/2) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1/2) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1/2) x))>
Calls

69 calls:

TimeVariablePointExpression
6.0ms
x
@0
(atan (* x (* x 1/2)))
2.0ms
x
@0
(* 2 (atan (+ (- 1 x) (* x (* x 1/2)))))
1.0ms
x
@inf
(sqrt (- 1 (* x x)))
1.0ms
x
@-inf
(* 2 (atan (* x (* (* x x) (+ -1/2 (/ (+ 1/2 (/ (+ -1 (/ 1 x)) x)) x))))))
0.0ms
x
@inf
(* 2 (atan (* x (* (* x x) (+ -1/2 (/ (+ 1/2 (/ (+ -1 (/ 1 x)) x)) x))))))

rewrite514.0ms (6%)

Algorithm
1×batch-egg-rewrite
Rules
3804×/-lowering-/.f32
3804×/-lowering-/.f64
3388×*-lowering-*.f32
3388×*-lowering-*.f64
2042×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
035235
1182222
21626216
08721216
Stop Event
1×iter limit
1×node limit
Counts
23 → 496
Calls
Call 1
Inputs
(* 2 (atan (/ (sqrt (- 1 (* x x))) (+ 1 x))))
(atan (/ (sqrt (- 1 (* x x))) (+ 1 x)))
(/ (sqrt (- 1 (* x x))) (+ 1 x))
(sqrt (- 1 (* x x)))
(* 2 (atan (* x (* x 1/2))))
(atan (* x (* x 1/2)))
(* x (* x 1/2))
(* x 1/2)
(* 2 (atan (+ (- 1 x) (* x (* x 1/2)))))
(atan (+ (- 1 x) (* x (* x 1/2))))
(+ (- 1 x) (* x (* x 1/2)))
(- 1 x)
(* 2 (atan (* (+ 1 (* x (* x 1/2))) (- 1 x))))
(atan (* (+ 1 (* x (* x 1/2))) (- 1 x)))
(* (+ 1 (* x (* x 1/2))) (- 1 x))
(+ 1 (* x (* x 1/2)))
(* 2 (atan (* x (* (* x x) (+ -1/2 (/ (+ 1/2 (/ (+ -1 (/ 1 x)) x)) x))))))
(atan (* x (* (* x x) (+ -1/2 (/ (+ 1/2 (/ (+ -1 (/ 1 x)) x)) x)))))
(* x (* (* x x) (+ -1/2 (/ (+ 1/2 (/ (+ -1 (/ 1 x)) x)) x))))
(* (* x x) (+ -1/2 (/ (+ 1/2 (/ (+ -1 (/ 1 x)) x)) x)))
(- 1 (* x x))
(/ (+ -1 (/ 1 x)) x)
(/ (+ 1/2 (/ (+ -1 (/ 1 x)) x)) x)
Outputs
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) x))))
(*.f64 (atan.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(atan.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) x)))
(neg.f64 (atan.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) x)))))
(neg.f64 (atan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) x))))
(neg.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) x))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))))
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) x)))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 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 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 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 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64)))))))
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64)))))))
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.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 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (hypot.f64 #s(literal 1 binary64) x))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (sqrt.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (sqrt.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (neg.f64 (hypot.f64 #s(literal 1 binary64) x)))
(pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
(*.f64 (atan.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(atan.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(*.f64 x (*.f64 x #s(literal 1/2 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))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(atan.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) x))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(+.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) x))
(+.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1 binary64) x x))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) x))
(-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x)
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (-.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (-.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))))) (/.f64 (*.f64 (-.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 (-.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (-.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (-.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (-.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))))))
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (/.f64 (*.f64 (-.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (-.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x 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))
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(/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))) (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/2 binary64)) (/.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))))) x))
(/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))) (*.f64 x x)))) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/2 binary64)) (/.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))))) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))) (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))) (*.f64 x x))) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1 binary64)) x)
(/.f64 (neg.f64 (+.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)))) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))) (*.f64 x x))))) (neg.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/2 binary64)) (/.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))) (*.f64 x x)))) (neg.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)))))
(/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/2 binary64)) (/.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))))))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))) (*.f64 x x)))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/2 binary64)) (/.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))))) x)))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))) (*.f64 x x)))) #s(literal -1 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/2 binary64)) (/.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))))) (-.f64 #s(literal 0 binary64) x))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))) (*.f64 x x))) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))) (*.f64 x x))) #s(literal -1 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (-.f64 #s(literal 0 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x))))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal -1 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) x))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/2 binary64)) (/.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x))))
(pow.f64 (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) (/.f64 #s(literal -1 binary64) x))
(*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))) (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/2 binary64)) (/.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)))))))
(*.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))) (*.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x))))
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))) (*.f64 x x)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/2 binary64)) (/.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)))))) x))
(*.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))) (*.f64 x x)))) x) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/2 binary64)) (/.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)))))) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))) (*.f64 x x))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) x))
(*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))) (*.f64 x x))) x) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) #s(literal 1 binary64)))

simplify291.0ms (3.4%)

Algorithm
1×egg-herbie
Rules
4140×*-lowering-*.f32
4140×*-lowering-*.f64
1908×--lowering--.f32
1908×--lowering--.f64
1818×+-lowering-+.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02032783
15812521
218182483
377192482
085492482
Stop Event
1×iter limit
1×node limit
Counts
276 → 276
Calls
Call 1
Inputs
(* 2 (atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2))))))
(* 2 (atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2))))))
(* 2 (atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2))))))
(* 2 (atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2))))))
(* 2 (atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2))))))
(* 2 (atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2))))))
(* 2 (atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2))))))
(* 2 (atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2))))))
(* 2 (atan (* (/ 1 (- 1 (* -1 x))) (sqrt (- 1 (pow x 2))))))
(* 2 (atan (* (/ 1 (- 1 (* -1 x))) (sqrt (- 1 (pow x 2))))))
(* 2 (atan (* (/ 1 (- 1 (* -1 x))) (sqrt (- 1 (pow x 2))))))
(* 2 (atan (* (/ 1 (- 1 (* -1 x))) (sqrt (- 1 (pow x 2))))))
(atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2)))))
(atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2)))))
(atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2)))))
(atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2)))))
(atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2)))))
(atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2)))))
(atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2)))))
(atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2)))))
(atan (* (/ 1 (- 1 (* -1 x))) (sqrt (- 1 (pow x 2)))))
(atan (* (/ 1 (- 1 (* -1 x))) (sqrt (- 1 (pow x 2)))))
(atan (* (/ 1 (- 1 (* -1 x))) (sqrt (- 1 (pow x 2)))))
(atan (* (/ 1 (- 1 (* -1 x))) (sqrt (- 1 (pow x 2)))))
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))
(sqrt -1)
(+ (sqrt -1) (* -1 (/ (sqrt -1) x)))
(+ (sqrt -1) (+ (* -1 (/ (sqrt -1) x)) (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (/ (sqrt -1) (pow x 2)))))
(- (+ (sqrt -1) (+ (* -1 (/ (sqrt -1) x)) (+ (* -1 (/ (sqrt -1) (pow x 3))) (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (/ (sqrt -1) (pow x 2)))))) (/ 1/2 (* (pow x 3) (sqrt -1))))
(* -1 (sqrt -1))
(+ (* -1 (sqrt -1)) (/ (sqrt -1) x))
(+ (* -1 (sqrt -1)) (* -1 (/ (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1)))) x))) x)))
(+ (* -1 (sqrt -1)) (* -1 (/ (+ (* -1 (sqrt -1)) (* -1 (/ (- (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1)))) x))) (* 1/2 (/ 1 (sqrt -1)))) x))) x)))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
(* x (sqrt -1))
(* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))
(* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))
(* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))
(* -1 (* x (sqrt -1)))
(* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))
(* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))
(* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))
(* 2 (atan (* 1/2 (pow x 2))))
(* 2 (atan (* 1/2 (pow x 2))))
(* 2 (atan (* 1/2 (pow x 2))))
(* 2 (atan (* 1/2 (pow x 2))))
(* 2 (atan (* 1/2 (pow x 2))))
(* 2 (atan (* 1/2 (pow x 2))))
(* 2 (atan (* 1/2 (pow x 2))))
(* 2 (atan (* 1/2 (pow x 2))))
(* 2 (atan (* 1/2 (pow x 2))))
(* 2 (atan (* 1/2 (pow x 2))))
(* 2 (atan (* 1/2 (pow x 2))))
(* 2 (atan (* 1/2 (pow x 2))))
(atan (* 1/2 (pow x 2)))
(atan (* 1/2 (pow x 2)))
(atan (* 1/2 (pow x 2)))
(atan (* 1/2 (pow x 2)))
(atan (* 1/2 (pow x 2)))
(atan (* 1/2 (pow x 2)))
(atan (* 1/2 (pow x 2)))
(atan (* 1/2 (pow x 2)))
(atan (* 1/2 (pow x 2)))
(atan (* 1/2 (pow x 2)))
(atan (* 1/2 (pow x 2)))
(atan (* 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))
(* 1/2 (pow x 2))
(* 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)
(* 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 (* 1/2 (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 (* 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 (* 1/2 (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
(+ 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))))
(* 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))))
(* 2 (atan (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2)))))))
(* 2 (atan (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2)))))))
(* 2 (atan (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2)))))))
(* 2 (atan (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2)))))))
(* 2 (atan (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2)))))))
(* 2 (atan (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2)))))))
(* 2 (atan (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2)))))))
(* 2 (atan (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2)))))))
(* 2 (atan (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2)))))))
(* 2 (atan (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2)))))))
(* 2 (atan (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2)))))))
(* 2 (atan (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2)))))))
(atan (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2))))))
(atan (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2))))))
(atan (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2))))))
(atan (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2))))))
(atan (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2))))))
(atan (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2))))))
(atan (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2))))))
(atan (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2))))))
(atan (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2))))))
(atan (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2))))))
(atan (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2))))))
(atan (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (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 x)
(/ (+ 1 (* -1 x)) x)
(/ (+ 1 (* x (- (* 1/2 x) 1))) x)
(/ (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))) x)
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2)))))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/2))
(* (pow x 2) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1/2) x)) 1/2))
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 (pow x 2))
(/ (+ 1 (* -1 x)) (pow x 2))
(/ (+ 1 (* -1 x)) (pow x 2))
(/ (+ 1 (* -1 x)) (pow x 2))
(/ -1 x)
(/ (- (/ 1 x) 1) x)
(/ (- (/ 1 x) 1) x)
(/ (- (/ 1 x) 1) x)
(/ -1 x)
(* -1 (/ (- 1 (/ 1 x)) x))
(* -1 (/ (- 1 (/ 1 x)) x))
(* -1 (/ (- 1 (/ 1 x)) x))
(/ 1 (pow x 3))
(/ (+ 1 (* -1 x)) (pow x 3))
(/ (+ 1 (* x (- (* 1/2 x) 1))) (pow x 3))
(/ (+ 1 (* x (- (* 1/2 x) 1))) (pow x 3))
(/ 1/2 x)
(/ (- 1/2 (/ 1 x)) x)
(/ (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x)) x)
(/ (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x)) x)
(/ 1/2 x)
(* -1 (/ (- (/ 1 x) 1/2) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1/2) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1/2) x))
Outputs
(* 2 (atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x))))
(* 2 (atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x))))
(* 2 (atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x))))
(* 2 (atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x))))
(* 2 (atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x))))
(* 2 (atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x))))
(* 2 (atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x))))
(* 2 (atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x))))
(* 2 (atan (* (/ 1 (- 1 (* -1 x))) (sqrt (- 1 (pow x 2))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x))))
(* 2 (atan (* (/ 1 (- 1 (* -1 x))) (sqrt (- 1 (pow x 2))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x))))
(* 2 (atan (* (/ 1 (- 1 (* -1 x))) (sqrt (- 1 (pow x 2))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x))))
(* 2 (atan (* (/ 1 (- 1 (* -1 x))) (sqrt (- 1 (pow x 2))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x))))
(atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2)))))
(atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x)))
(atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2)))))
(atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x)))
(atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2)))))
(atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x)))
(atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2)))))
(atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x)))
(atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2)))))
(atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x)))
(atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2)))))
(atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x)))
(atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2)))))
(atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x)))
(atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2)))))
(atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x)))
(atan (* (/ 1 (- 1 (* -1 x))) (sqrt (- 1 (pow x 2)))))
(atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x)))
(atan (* (/ 1 (- 1 (* -1 x))) (sqrt (- 1 (pow x 2)))))
(atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x)))
(atan (* (/ 1 (- 1 (* -1 x))) (sqrt (- 1 (pow x 2)))))
(atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x)))
(atan (* (/ 1 (- 1 (* -1 x))) (sqrt (- 1 (pow x 2)))))
(atan.f64 (/.f64 (sqrt.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 (* 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)))))
(sqrt -1)
(sqrt.f64 #s(literal -1 binary64))
(+ (sqrt -1) (* -1 (/ (sqrt -1) x)))
(-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) x))
(+ (sqrt -1) (+ (* -1 (/ (sqrt -1) x)) (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (/ (sqrt -1) (pow x 2)))))
(+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 x x)) (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) x)) x)))
(- (+ (sqrt -1) (+ (* -1 (/ (sqrt -1) x)) (+ (* -1 (/ (sqrt -1) (pow x 3))) (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (/ (sqrt -1) (pow x 2)))))) (/ 1/2 (* (pow x 3) (sqrt -1))))
(+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 x x)) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x x))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) x))) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 x (*.f64 x x)))))
(* -1 (sqrt -1))
(-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (sqrt -1)) (/ (sqrt -1) x))
(-.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (sqrt -1)) (* -1 (/ (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1)))) x))) x)))
(-.f64 (/.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))) x)) x) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (sqrt -1)) (* -1 (/ (+ (* -1 (sqrt -1)) (* -1 (/ (- (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1)))) x))) (* 1/2 (/ 1 (sqrt -1)))) x))) x)))
(-.f64 (/.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) x)) x)) x) (sqrt.f64 #s(literal -1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64)))))))
(* x (sqrt -1))
(*.f64 x (sqrt.f64 #s(literal -1 binary64)))
(* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))
(+.f64 (*.f64 x (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))
(* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))
(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))) (*.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64)))))))
(* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))
(*.f64 x (+.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 x x))) (-.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64))))))
(* -1 (* x (sqrt -1)))
(-.f64 #s(literal 0 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))
(-.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))
(+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64)))))))
(* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 x x))) (-.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64))))))
(* 2 (atan (* 1/2 (pow x 2))))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(* 2 (atan (* 1/2 (pow x 2))))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(* 2 (atan (* 1/2 (pow x 2))))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(* 2 (atan (* 1/2 (pow x 2))))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
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(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)))))))
(* 2 (atan (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2)))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)))))))
(* 2 (atan (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2)))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)))))))
(* 2 (atan (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2)))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)))))))
(* 2 (atan (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2)))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)))))))
(* 2 (atan (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2)))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)))))))
(* 2 (atan (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2)))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)))))))
(* 2 (atan (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2)))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)))))))
(* 2 (atan (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2)))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)))))))
(* 2 (atan (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2)))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)))))))
(* 2 (atan (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2)))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)))))))
(* 2 (atan (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2)))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)))))))
(atan (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2))))))
(atan.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x))))))
(atan (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2))))))
(atan.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x))))))
(atan (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2))))))
(atan.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x))))))
(atan (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2))))))
(atan.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x))))))
(atan (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2))))))
(atan.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x))))))
(atan (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2))))))
(atan.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x))))))
(atan (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2))))))
(atan.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x))))))
(atan (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2))))))
(atan.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x))))))
(atan (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2))))))
(atan.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x))))))
(atan (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2))))))
(atan.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x))))))
(atan (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2))))))
(atan.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x))))))
(atan (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2))))))
(atan.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) 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 (*.f64 x x) #s(literal -1/2 binary64)))
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2))
(*.f64 (*.f64 x x) (*.f64 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 x) (*.f64 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 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 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 (*.f64 x x) #s(literal -1/2 binary64)))
(* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x)))))
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (- 1/2 (/ 1 x)) x)))))
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x))))
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))) x)))))
(*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) x) #s(literal 1 binary64))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1 x)) x)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
(/ (+ 1 (* x (- (* 1/2 x) 1))) x)
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) x) #s(literal 1 binary64))
(/ (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))) x)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) x)
(* -1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2)))))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 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 2))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/2))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x))))
(* (pow x 2) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1/2) x)) 1/2))
(+.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) x) #s(literal 1 binary64)))
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 #s(literal 0 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))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* -1 (pow x 2))
(-.f64 #s(literal 0 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))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (+ 1 (* -1 x)) (pow x 2))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/ (+ 1 (* -1 x)) (pow x 2))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/ (+ 1 (* -1 x)) (pow x 2))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (/ 1 x) 1) x)
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/ (- (/ 1 x) 1) x)
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/ (- (/ 1 x) 1) x)
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (- 1 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(* -1 (/ (- 1 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(* -1 (/ (- 1 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))
(/ (+ 1 (* -1 x)) (pow x 3))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x))
(/ (+ 1 (* x (- (* 1/2 x) 1))) (pow x 3))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (*.f64 x (*.f64 x x)))
(/ (+ 1 (* x (- (* 1/2 x) 1))) (pow x 3))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (*.f64 x (*.f64 x x)))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (- 1/2 (/ 1 x)) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/ (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x)) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)
(/ (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x)) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(* -1 (/ (- (/ 1 x) 1/2) x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1/2) x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1/2) x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)

eval115.0ms (1.3%)

Compiler

Compiled 23060 to 3225 computations (86% saved)

prune101.0ms (1.2%)

Pruning

11 alts after pruning (5 fresh and 6 done)

PrunedKeptTotal
New8965901
Fresh202
Picked325
Done145
Total90211913
Accuracy
100.0%
Counts
913 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.4%
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64))))))) (+.f64 #s(literal 1 binary64) x))))
▶99.2%
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))))) (+.f64 #s(literal 1 binary64) x))))
▶99.1%
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) x))))
✓100.0%
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x))))
▶98.8%
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x)))
✓98.6%
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
✓98.8%
(*.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)))))))
▶98.2%
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)))))
✓4.3%
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 x (*.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)))))
✓97.6%
(*.f64 #s(literal 2 binary64) (atan.f64 #s(literal 1 binary64)))
Compiler

Compiled 234 to 172 computations (26.5% saved)

simplify191.0ms (2.2%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64))))))
✓cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))))) (+.f64 #s(literal 1 binary64) x))
✓cost-diff0
(atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))))) (+.f64 #s(literal 1 binary64) x)))
✓cost-diff0
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))))) (+.f64 #s(literal 1 binary64) x))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
✓cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) x))
✓cost-diff0
(atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) x)))
✓cost-diff0
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) x))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
✓cost-diff0
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x)
✓cost-diff0
(atan.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x))
✓cost-diff0
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x)))
✓cost-diff0
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
✓cost-diff256
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)))
✓cost-diff256
(atan.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))))
✓cost-diff256
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64)))))))
✓cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64))))))) (+.f64 #s(literal 1 binary64) x))
✓cost-diff0
(atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64))))))) (+.f64 #s(literal 1 binary64) x)))
✓cost-diff0
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64))))))) (+.f64 #s(literal 1 binary64) x))))
Rules
2628×sum4-define
2374×fma-lowering-fma.f32
2374×fma-lowering-fma.f64
2000×sum3-define
1612×fma-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
042403
1107361
2283358
3586355
41063355
51587355
62027355
73121355
87260355
08206355
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* 2 (atan (/ (+ 1 (* (* x x) (+ -1/2 (* (* x x) (+ -1/8 (* (* x x) -1/16)))))) (+ 1 x))))
2
(atan (/ (+ 1 (* (* x x) (+ -1/2 (* (* x x) (+ -1/8 (* (* x x) -1/16)))))) (+ 1 x)))
(/ (+ 1 (* (* x x) (+ -1/2 (* (* x x) (+ -1/8 (* (* x x) -1/16)))))) (+ 1 x))
(+ 1 (* (* x x) (+ -1/2 (* (* x x) (+ -1/8 (* (* x x) -1/16))))))
1
(* (* x x) (+ -1/2 (* (* x x) (+ -1/8 (* (* x x) -1/16)))))
(* x x)
x
(+ -1/2 (* (* x x) (+ -1/8 (* (* x x) -1/16))))
-1/2
(* (* x x) (+ -1/8 (* (* x x) -1/16)))
(+ -1/8 (* (* x x) -1/16))
-1/8
(* (* x x) -1/16)
-1/16
(+ 1 x)
(* 2 (atan (* x (+ -1 (/ 1 x)))))
2
(atan (* x (+ -1 (/ 1 x))))
(* x (+ -1 (/ 1 x)))
x
(+ -1 (/ 1 x))
-1
(/ 1 x)
1
(* 2 (atan (- (+ 1 (* (* x x) 1/2)) x)))
2
(atan (- (+ 1 (* (* x x) 1/2)) x))
(- (+ 1 (* (* x x) 1/2)) x)
(+ 1 (* (* x x) 1/2))
1
(* (* x x) 1/2)
(* x x)
x
1/2
(* 2 (atan (/ (+ 1 (* (* x x) -1/2)) (+ 1 x))))
2
(atan (/ (+ 1 (* (* x x) -1/2)) (+ 1 x)))
(/ (+ 1 (* (* x x) -1/2)) (+ 1 x))
(+ 1 (* (* x x) -1/2))
1
(* (* x x) -1/2)
(* x x)
x
-1/2
(+ 1 x)
(* 2 (atan (/ (+ 1 (* (* x x) (+ -1/2 (* x (* x -1/8))))) (+ 1 x))))
2
(atan (/ (+ 1 (* (* x x) (+ -1/2 (* x (* x -1/8))))) (+ 1 x)))
(/ (+ 1 (* (* x x) (+ -1/2 (* x (* x -1/8))))) (+ 1 x))
(+ 1 (* (* x x) (+ -1/2 (* x (* x -1/8)))))
1
(* (* x x) (+ -1/2 (* x (* x -1/8))))
(* x x)
x
(+ -1/2 (* x (* x -1/8)))
-1/2
(* x (* x -1/8))
(* x -1/8)
-1/8
(+ 1 x)
Outputs
(* 2 (atan (/ (+ 1 (* (* x x) (+ -1/2 (* (* x x) (+ -1/8 (* (* x x) -1/16)))))) (+ 1 x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64)))))))) (+.f64 #s(literal 1 binary64) x))))
2
#s(literal 2 binary64)
(atan (/ (+ 1 (* (* x x) (+ -1/2 (* (* x x) (+ -1/8 (* (* x x) -1/16)))))) (+ 1 x)))
(atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64)))))))) (+.f64 #s(literal 1 binary64) x)))
(/ (+ 1 (* (* x x) (+ -1/2 (* (* x x) (+ -1/8 (* (* x x) -1/16)))))) (+ 1 x))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64)))))))) (+.f64 #s(literal 1 binary64) x))
(+ 1 (* (* x x) (+ -1/2 (* (* x x) (+ -1/8 (* (* x x) -1/16))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64))))))))
1
#s(literal 1 binary64)
(* (* x x) (+ -1/2 (* (* x x) (+ -1/8 (* (* x x) -1/16)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64)))))))
(* x x)
(*.f64 x x)
x
(+ -1/2 (* (* x x) (+ -1/8 (* (* x x) -1/16))))
(+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64))))))
-1/2
#s(literal -1/2 binary64)
(* (* x x) (+ -1/8 (* (* x x) -1/16)))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64)))))
(+ -1/8 (* (* x x) -1/16))
(+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64)))
-1/8
#s(literal -1/8 binary64)
(* (* x x) -1/16)
(*.f64 (*.f64 x x) #s(literal -1/16 binary64))
-1/16
#s(literal -1/16 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(* 2 (atan (* x (+ -1 (/ 1 x)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
2
#s(literal 2 binary64)
(atan (* x (+ -1 (/ 1 x))))
(atan.f64 (-.f64 #s(literal 1 binary64) x))
(* x (+ -1 (/ 1 x)))
(-.f64 #s(literal 1 binary64) x)
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)
1
#s(literal 1 binary64)
(* 2 (atan (- (+ 1 (* (* x x) 1/2)) x)))
(*.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 x) 1/2)) x))
(atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))))
(- (+ 1 (* (* x x) 1/2)) x)
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(+ 1 (* (* x x) 1/2))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
1
#s(literal 1 binary64)
(* (* x x) 1/2)
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(* x x)
(*.f64 x x)
x
1/2
#s(literal 1/2 binary64)
(* 2 (atan (/ (+ 1 (* (* x x) -1/2)) (+ 1 x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) x))))
2
#s(literal 2 binary64)
(atan (/ (+ 1 (* (* x x) -1/2)) (+ 1 x)))
(atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) x)))
(/ (+ 1 (* (* x x) -1/2)) (+ 1 x))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) x))
(+ 1 (* (* x x) -1/2))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
1
#s(literal 1 binary64)
(* (* x x) -1/2)
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
(* x x)
(*.f64 x x)
x
-1/2
#s(literal -1/2 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(* 2 (atan (/ (+ 1 (* (* x x) (+ -1/2 (* x (* x -1/8))))) (+ 1 x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))))) (+.f64 #s(literal 1 binary64) x))))
2
#s(literal 2 binary64)
(atan (/ (+ 1 (* (* x x) (+ -1/2 (* x (* x -1/8))))) (+ 1 x)))
(atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))))) (+.f64 #s(literal 1 binary64) x)))
(/ (+ 1 (* (* x x) (+ -1/2 (* x (* x -1/8))))) (+ 1 x))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))))) (+.f64 #s(literal 1 binary64) x))
(+ 1 (* (* x x) (+ -1/2 (* x (* x -1/8)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64)))))
1
#s(literal 1 binary64)
(* (* x x) (+ -1/2 (* x (* x -1/8))))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))))
(* x x)
(*.f64 x x)
x
(+ -1/2 (* x (* x -1/8)))
(+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64)))
-1/2
#s(literal -1/2 binary64)
(* x (* x -1/8))
(*.f64 (*.f64 x x) #s(literal -1/8 binary64))
(* x -1/8)
(*.f64 x #s(literal -1/8 binary64))
-1/8
#s(literal -1/8 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)

localize195.0ms (2.3%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))))) (+.f64 #s(literal 1 binary64) x)))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64))))))
✓accuracy100.0%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))))) (+.f64 #s(literal 1 binary64) x))
✓accuracy100.0%
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
✓accuracy100.0%
(atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) x)))
✓accuracy100.0%
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
✓accuracy100.0%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) x))
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x)))
✓accuracy100.0%
(atan.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x))
✓accuracy100.0%
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
✓accuracy100.0%
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x)
✓accuracy100.0%
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)))))
✓accuracy100.0%
(atan.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))))
✓accuracy99.4%
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)))
✓accuracy100.0%
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64))))
✓accuracy100.0%
(*.f64 (*.f64 x x) #s(literal -1/16 binary64))
✓accuracy100.0%
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64))))))
✓accuracy100.0%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64))))))) (+.f64 #s(literal 1 binary64) x))
Results
116.0ms254×0valid
5.0ms2×5exit
Compiler

Compiled 410 to 43 computations (89.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 63.0ms
ival-mult: 28.0ms (44.6% of total)
ival-atan: 13.0ms (20.7% of total)
ival-add: 11.0ms (17.5% of total)
ival-div: 7.0ms (11.2% of total)
const: 1.0ms (1.6% of total)
backward-pass: 1.0ms (1.6% of total)
ival-sub: 1.0ms (1.6% of total)

series18.0ms (0.2%)

Counts
26 → 312
Calls
Call 1
Inputs
#<alt (* 2 (atan (/ (+ 1 (* (* x x) (+ -1/2 (* (* x x) (+ -1/8 (* (* x x) -1/16)))))) (+ 1 x))))>
#<alt (atan (/ (+ 1 (* (* x x) (+ -1/2 (* (* x x) (+ -1/8 (* (* x x) -1/16)))))) (+ 1 x)))>
#<alt (/ (+ 1 (* (* x x) (+ -1/2 (* (* x x) (+ -1/8 (* (* x x) -1/16)))))) (+ 1 x))>
#<alt (+ 1 (* (* x x) (+ -1/2 (* (* x x) (+ -1/8 (* (* x x) -1/16))))))>
#<alt (* 2 (atan (* x (+ -1 (/ 1 x)))))>
#<alt (atan (* x (+ -1 (/ 1 x))))>
#<alt (* x (+ -1 (/ 1 x)))>
#<alt (+ -1 (/ 1 x))>
#<alt (* 2 (atan (- (+ 1 (* (* x x) 1/2)) x)))>
#<alt (atan (- (+ 1 (* (* x x) 1/2)) x))>
#<alt (- (+ 1 (* (* x x) 1/2)) x)>
#<alt (+ 1 (* (* x x) 1/2))>
#<alt (* 2 (atan (/ (+ 1 (* (* x x) -1/2)) (+ 1 x))))>
#<alt (atan (/ (+ 1 (* (* x x) -1/2)) (+ 1 x)))>
#<alt (/ (+ 1 (* (* x x) -1/2)) (+ 1 x))>
#<alt (+ 1 (* (* x x) -1/2))>
#<alt (* 2 (atan (/ (+ 1 (* (* x x) (+ -1/2 (* x (* x -1/8))))) (+ 1 x))))>
#<alt (atan (/ (+ 1 (* (* x x) (+ -1/2 (* x (* x -1/8))))) (+ 1 x)))>
#<alt (/ (+ 1 (* (* x x) (+ -1/2 (* x (* x -1/8))))) (+ 1 x))>
#<alt (+ 1 (* (* x x) (+ -1/2 (* x (* x -1/8)))))>
#<alt (* (* x x) (+ -1/2 (* (* x x) (+ -1/8 (* (* x x) -1/16)))))>
#<alt (* (* x x) -1/16)>
#<alt (* (* x x) (+ -1/8 (* (* x x) -1/16)))>
#<alt (* (* x x) 1/2)>
#<alt (* (* x x) -1/2)>
#<alt (* (* x x) (+ -1/2 (* x (* x -1/8))))>
Outputs
#<alt (* 2 (atan (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) (+ 1 x))))>
#<alt (* 2 (atan (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) (+ 1 x))))>
#<alt (* 2 (atan (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) (+ 1 x))))>
#<alt (* 2 (atan (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) (+ 1 x))))>
#<alt (* 2 (atan (/ (- (+ 1 (* -1 (* (pow x 4) (+ 1/8 (* 1/16 (pow x 2)))))) (* 1/2 (pow x 2))) (+ 1 x))))>
#<alt (* 2 (atan (/ (- (+ 1 (* -1 (* (pow x 4) (+ 1/8 (* 1/16 (pow x 2)))))) (* 1/2 (pow x 2))) (+ 1 x))))>
#<alt (* 2 (atan (/ (- (+ 1 (* -1 (* (pow x 4) (+ 1/8 (* 1/16 (pow x 2)))))) (* 1/2 (pow x 2))) (+ 1 x))))>
#<alt (* 2 (atan (/ (- (+ 1 (* -1 (* (pow x 4) (+ 1/8 (* 1/16 (pow x 2)))))) (* 1/2 (pow x 2))) (+ 1 x))))>
#<alt (* 2 (atan (/ (- (+ 1 (* -1 (* (pow x 4) (+ 1/8 (* 1/16 (pow x 2)))))) (* 1/2 (pow x 2))) (- 1 (* -1 x)))))>
#<alt (* 2 (atan (/ (- (+ 1 (* -1 (* (pow x 4) (+ 1/8 (* 1/16 (pow x 2)))))) (* 1/2 (pow x 2))) (- 1 (* -1 x)))))>
#<alt (* 2 (atan (/ (- (+ 1 (* -1 (* (pow x 4) (+ 1/8 (* 1/16 (pow x 2)))))) (* 1/2 (pow x 2))) (- 1 (* -1 x)))))>
#<alt (* 2 (atan (/ (- (+ 1 (* -1 (* (pow x 4) (+ 1/8 (* 1/16 (pow x 2)))))) (* 1/2 (pow x 2))) (- 1 (* -1 x)))))>
#<alt (atan (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) (+ 1 x)))>
#<alt (atan (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) (+ 1 x)))>
#<alt (atan (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) (+ 1 x)))>
#<alt (atan (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) (+ 1 x)))>
#<alt (atan (/ (- (+ 1 (* -1 (* (pow x 4) (+ 1/8 (* 1/16 (pow x 2)))))) (* 1/2 (pow x 2))) (+ 1 x)))>
#<alt (atan (/ (- (+ 1 (* -1 (* (pow x 4) (+ 1/8 (* 1/16 (pow x 2)))))) (* 1/2 (pow x 2))) (+ 1 x)))>
#<alt (atan (/ (- (+ 1 (* -1 (* (pow x 4) (+ 1/8 (* 1/16 (pow x 2)))))) (* 1/2 (pow x 2))) (+ 1 x)))>
#<alt (atan (/ (- (+ 1 (* -1 (* (pow x 4) (+ 1/8 (* 1/16 (pow x 2)))))) (* 1/2 (pow x 2))) (+ 1 x)))>
#<alt (atan (/ (- (+ 1 (* -1 (* (pow x 4) (+ 1/8 (* 1/16 (pow x 2)))))) (* 1/2 (pow x 2))) (- 1 (* -1 x))))>
#<alt (atan (/ (- (+ 1 (* -1 (* (pow x 4) (+ 1/8 (* 1/16 (pow x 2)))))) (* 1/2 (pow x 2))) (- 1 (* -1 x))))>
#<alt (atan (/ (- (+ 1 (* -1 (* (pow x 4) (+ 1/8 (* 1/16 (pow x 2)))))) (* 1/2 (pow x 2))) (- 1 (* -1 x))))>
#<alt (atan (/ (- (+ 1 (* -1 (* (pow x 4) (+ 1/8 (* 1/16 (pow x 2)))))) (* 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 (* -1/16 (pow x 5))>
#<alt (* (pow x 5) (- (* 1/16 (/ 1 x)) 1/16))>
#<alt (* (pow x 5) (- (* 1/16 (/ 1 x)) (+ 1/16 (/ 3/16 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ (* 1/16 (/ 1 x)) (* 3/16 (/ 1 (pow x 3)))) (+ 1/16 (/ 3/16 (pow x 2)))))>
#<alt (* -1/16 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- 1/16 (* 1/16 (/ 1 x)))))>
#<alt (* -1 (* (pow x 5) (+ 1/16 (* -1 (/ (- 1/16 (* 3/16 (/ 1 x))) x)))))>
#<alt (* -1 (* (pow x 5) (+ 1/16 (* -1 (/ (+ 1/16 (* -1 (/ (- 3/16 (* 3/16 (/ 1 x))) x))) x)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))>
#<alt (* -1/16 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))>
#<alt (* (pow x 6) (- (/ 1 (pow x 6)) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))))>
#<alt (* -1/16 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))>
#<alt (* (pow x 6) (- (/ 1 (pow x 6)) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))))>
#<alt (* 2 (atan (* x (- (/ 1 x) 1))))>
#<alt (* 2 (atan (* x (- (/ 1 x) 1))))>
#<alt (* 2 (atan (* x (- (/ 1 x) 1))))>
#<alt (* 2 (atan (* x (- (/ 1 x) 1))))>
#<alt (* 2 (atan (* x (- (/ 1 x) 1))))>
#<alt (* 2 (atan (* x (- (/ 1 x) 1))))>
#<alt (* 2 (atan (* x (- (/ 1 x) 1))))>
#<alt (* 2 (atan (* x (- (/ 1 x) 1))))>
#<alt (* 2 (atan (* x (- (/ 1 x) 1))))>
#<alt (* 2 (atan (* x (- (/ 1 x) 1))))>
#<alt (* 2 (atan (* x (- (/ 1 x) 1))))>
#<alt (* 2 (atan (* x (- (/ 1 x) 1))))>
#<alt (atan (* x (- (/ 1 x) 1)))>
#<alt (atan (* x (- (/ 1 x) 1)))>
#<alt (atan (* x (- (/ 1 x) 1)))>
#<alt (atan (* x (- (/ 1 x) 1)))>
#<alt (atan (* x (- (/ 1 x) 1)))>
#<alt (atan (* x (- (/ 1 x) 1)))>
#<alt (atan (* x (- (/ 1 x) 1)))>
#<alt (atan (* x (- (/ 1 x) 1)))>
#<alt (atan (* x (- (/ 1 x) 1)))>
#<alt (atan (* x (- (/ 1 x) 1)))>
#<alt (atan (* x (- (/ 1 x) 1)))>
#<alt (atan (* x (- (/ 1 x) 1)))>
#<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 x)>
#<alt (/ (+ 1 (* -1 x)) x)>
#<alt (/ (+ 1 (* -1 x)) x)>
#<alt (/ (+ 1 (* -1 x)) x)>
#<alt -1>
#<alt (- (/ 1 x) 1)>
#<alt (- (/ 1 x) 1)>
#<alt (- (/ 1 x) 1)>
#<alt -1>
#<alt (- (/ 1 x) 1)>
#<alt (- (/ 1 x) 1)>
#<alt (- (/ 1 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 (* 1/2 (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 (* 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 (* 1/2 (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>
#<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 (* 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 (* 1/2 (pow x 2))) (- 1 (* -1 x)))))>
#<alt (* 2 (atan (/ (- 1 (* 1/2 (pow x 2))) (- 1 (* -1 x)))))>
#<alt (* 2 (atan (/ (- 1 (* 1/2 (pow x 2))) (- 1 (* -1 x)))))>
#<alt (* 2 (atan (/ (- 1 (* 1/2 (pow x 2))) (- 1 (* -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 (* 1/2 (pow x 2))) (+ 1 x)))>
#<alt (atan (/ (- 1 (* 1/2 (pow x 2))) (- 1 (* -1 x))))>
#<alt (atan (/ (- 1 (* 1/2 (pow x 2))) (- 1 (* -1 x))))>
#<alt (atan (/ (- 1 (* 1/2 (pow x 2))) (- 1 (* -1 x))))>
#<alt (atan (/ (- 1 (* 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 (* -1/2 x)>
#<alt (* x (- (* 1/2 (/ 1 x)) 1/2))>
#<alt (* x (- (+ (/ 1/2 (pow x 2)) (* 1/2 (/ 1 x))) 1/2))>
#<alt (* x (- (+ (/ 1/2 (pow x 2)) (* 1/2 (/ 1 x))) (+ 1/2 (* 1/2 (/ 1 (pow x 3))))))>
#<alt (* -1/2 x)>
#<alt (* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1/2 (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) x)))))>
#<alt (* -1 (* x (+ 1/2 (* -1 (/ (+ 1/2 (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) 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 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* 2 (atan (/ (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) (+ 1 x))))>
#<alt (* 2 (atan (/ (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) (+ 1 x))))>
#<alt (* 2 (atan (/ (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) (+ 1 x))))>
#<alt (* 2 (atan (/ (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) (+ 1 x))))>
#<alt (* 2 (atan (/ (+ 1 (* -1 (* (pow x 2) (+ 1/2 (* 1/8 (pow x 2)))))) (+ 1 x))))>
#<alt (* 2 (atan (/ (+ 1 (* -1 (* (pow x 2) (+ 1/2 (* 1/8 (pow x 2)))))) (+ 1 x))))>
#<alt (* 2 (atan (/ (+ 1 (* -1 (* (pow x 2) (+ 1/2 (* 1/8 (pow x 2)))))) (+ 1 x))))>
#<alt (* 2 (atan (/ (+ 1 (* -1 (* (pow x 2) (+ 1/2 (* 1/8 (pow x 2)))))) (+ 1 x))))>
#<alt (* 2 (atan (/ (+ 1 (* -1 (* (pow x 2) (+ 1/2 (* 1/8 (pow x 2)))))) (- 1 (* -1 x)))))>
#<alt (* 2 (atan (/ (+ 1 (* -1 (* (pow x 2) (+ 1/2 (* 1/8 (pow x 2)))))) (- 1 (* -1 x)))))>
#<alt (* 2 (atan (/ (+ 1 (* -1 (* (pow x 2) (+ 1/2 (* 1/8 (pow x 2)))))) (- 1 (* -1 x)))))>
#<alt (* 2 (atan (/ (+ 1 (* -1 (* (pow x 2) (+ 1/2 (* 1/8 (pow x 2)))))) (- 1 (* -1 x)))))>
#<alt (atan (/ (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) (+ 1 x)))>
#<alt (atan (/ (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) (+ 1 x)))>
#<alt (atan (/ (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) (+ 1 x)))>
#<alt (atan (/ (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) (+ 1 x)))>
#<alt (atan (/ (+ 1 (* -1 (* (pow x 2) (+ 1/2 (* 1/8 (pow x 2)))))) (+ 1 x)))>
#<alt (atan (/ (+ 1 (* -1 (* (pow x 2) (+ 1/2 (* 1/8 (pow x 2)))))) (+ 1 x)))>
#<alt (atan (/ (+ 1 (* -1 (* (pow x 2) (+ 1/2 (* 1/8 (pow x 2)))))) (+ 1 x)))>
#<alt (atan (/ (+ 1 (* -1 (* (pow x 2) (+ 1/2 (* 1/8 (pow x 2)))))) (+ 1 x)))>
#<alt (atan (/ (+ 1 (* -1 (* (pow x 2) (+ 1/2 (* 1/8 (pow x 2)))))) (- 1 (* -1 x))))>
#<alt (atan (/ (+ 1 (* -1 (* (pow x 2) (+ 1/2 (* 1/8 (pow x 2)))))) (- 1 (* -1 x))))>
#<alt (atan (/ (+ 1 (* -1 (* (pow x 2) (+ 1/2 (* 1/8 (pow x 2)))))) (- 1 (* -1 x))))>
#<alt (atan (/ (+ 1 (* -1 (* (pow x 2) (+ 1/2 (* 1/8 (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 (* -1/8 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/8 (/ 1 x)) 1/8))>
#<alt (* (pow x 3) (- (* 1/8 (/ 1 x)) (+ 1/8 (/ 5/8 (pow x 2)))))>
#<alt (* (pow x 3) (- (+ (* 1/8 (/ 1 x)) (* 5/8 (/ 1 (pow x 3)))) (+ 1/8 (/ 5/8 (pow x 2)))))>
#<alt (* -1/8 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/8 (* 1/8 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/8 (* -1 (/ (- 1/8 (* 5/8 (/ 1 x))) x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/8 (* -1 (/ (+ 1/8 (* -1 (/ (- 5/8 (* 5/8 (/ 1 x))) x))) x)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))>
#<alt (* -1/8 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (/ 1 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (/ 1 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1/8 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (/ 1 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (/ 1 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))>
#<alt (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))>
#<alt (* -1/16 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))>
#<alt (* -1/16 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))>
#<alt (* -1/16 (pow x 2))>
#<alt (* -1/16 (pow x 2))>
#<alt (* -1/16 (pow x 2))>
#<alt (* -1/16 (pow x 2))>
#<alt (* -1/16 (pow x 2))>
#<alt (* -1/16 (pow x 2))>
#<alt (* -1/16 (pow x 2))>
#<alt (* -1/16 (pow x 2))>
#<alt (* -1/16 (pow x 2))>
#<alt (* -1/16 (pow x 2))>
#<alt (* -1/16 (pow x 2))>
#<alt (* -1/16 (pow x 2))>
#<alt (* -1/8 (pow x 2))>
#<alt (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8))>
#<alt (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8))>
#<alt (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8))>
#<alt (* -1/16 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* -1/16 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (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))>
#<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))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))>
#<alt (* -1/8 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1/8 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
Calls

78 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(* 2 (atan (/ (+ 1 (* (* x x) -1/2)) (+ 1 x))))
1.0ms
x
@inf
(* 2 (atan (/ (+ 1 (* (* x x) (+ -1/2 (* (* x x) (+ -1/8 (* (* x x) -1/16)))))) (+ 1 x))))
1.0ms
x
@inf
(* 2 (atan (/ (+ 1 (* (* x x) (+ -1/2 (* x (* x -1/8))))) (+ 1 x))))
0.0ms
x
@-inf
(* 2 (atan (/ (+ 1 (* (* x x) (+ -1/2 (* (* x x) (+ -1/8 (* (* x x) -1/16)))))) (+ 1 x))))
0.0ms
x
@0
(* 2 (atan (/ (+ 1 (* (* x x) (+ -1/2 (* (* x x) (+ -1/8 (* (* x x) -1/16)))))) (+ 1 x))))

rewrite313.0ms (3.7%)

Algorithm
1×batch-egg-rewrite
Rules
2902×fma-lowering-fma.f32
2902×fma-lowering-fma.f64
2690×*-lowering-*.f32
2690×*-lowering-*.f64
2000×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
042322
1242281
22250281
08895281
Stop Event
1×iter limit
1×node limit
Counts
26 → 575
Calls
Call 1
Inputs
(* 2 (atan (/ (+ 1 (* (* x x) (+ -1/2 (* (* x x) (+ -1/8 (* (* x x) -1/16)))))) (+ 1 x))))
(atan (/ (+ 1 (* (* x x) (+ -1/2 (* (* x x) (+ -1/8 (* (* x x) -1/16)))))) (+ 1 x)))
(/ (+ 1 (* (* x x) (+ -1/2 (* (* x x) (+ -1/8 (* (* x x) -1/16)))))) (+ 1 x))
(+ 1 (* (* x x) (+ -1/2 (* (* x x) (+ -1/8 (* (* x x) -1/16))))))
(* 2 (atan (* x (+ -1 (/ 1 x)))))
(atan (* x (+ -1 (/ 1 x))))
(* x (+ -1 (/ 1 x)))
(+ -1 (/ 1 x))
(* 2 (atan (- (+ 1 (* (* x x) 1/2)) x)))
(atan (- (+ 1 (* (* x x) 1/2)) x))
(- (+ 1 (* (* x x) 1/2)) x)
(+ 1 (* (* x x) 1/2))
(* 2 (atan (/ (+ 1 (* (* x x) -1/2)) (+ 1 x))))
(atan (/ (+ 1 (* (* x x) -1/2)) (+ 1 x)))
(/ (+ 1 (* (* x x) -1/2)) (+ 1 x))
(+ 1 (* (* x x) -1/2))
(* 2 (atan (/ (+ 1 (* (* x x) (+ -1/2 (* x (* x -1/8))))) (+ 1 x))))
(atan (/ (+ 1 (* (* x x) (+ -1/2 (* x (* x -1/8))))) (+ 1 x)))
(/ (+ 1 (* (* x x) (+ -1/2 (* x (* x -1/8))))) (+ 1 x))
(+ 1 (* (* x x) (+ -1/2 (* x (* x -1/8)))))
(* (* x x) (+ -1/2 (* (* x x) (+ -1/8 (* (* x x) -1/16)))))
(* (* x x) -1/16)
(* (* x x) (+ -1/8 (* (* x x) -1/16)))
(* (* x x) 1/2)
(* (* x x) -1/2)
(* (* x x) (+ -1/2 (* x (* x -1/8))))
Outputs
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64)))))))) (+.f64 #s(literal 1 binary64) x))))
(*.f64 (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64)))))))) (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
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simplify241.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
3994×*-lowering-*.f32
3994×*-lowering-*.f64
1534×+-lowering-+.f64
1534×+-lowering-+.f32
1316×associate-*l*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02343280
16883076
222042931
373452928
080332928
Stop Event
1×iter limit
1×node limit
Counts
312 → 312
Calls
Call 1
Inputs
(* 2 (atan (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) (+ 1 x))))
(* 2 (atan (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) (+ 1 x))))
(* 2 (atan (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) (+ 1 x))))
(* 2 (atan (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) (+ 1 x))))
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(atan (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) (+ 1 x)))
(atan (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) (+ 1 x)))
(atan (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) (+ 1 x)))
(atan (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) (+ 1 x)))
(atan (/ (- (+ 1 (* -1 (* (pow x 4) (+ 1/8 (* 1/16 (pow x 2)))))) (* 1/2 (pow x 2))) (+ 1 x)))
(atan (/ (- (+ 1 (* -1 (* (pow x 4) (+ 1/8 (* 1/16 (pow x 2)))))) (* 1/2 (pow x 2))) (+ 1 x)))
(atan (/ (- (+ 1 (* -1 (* (pow x 4) (+ 1/8 (* 1/16 (pow x 2)))))) (* 1/2 (pow x 2))) (+ 1 x)))
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(atan (/ (- (+ 1 (* -1 (* (pow x 4) (+ 1/8 (* 1/16 (pow x 2)))))) (* 1/2 (pow x 2))) (- 1 (* -1 x))))
1
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(* -1 (* (pow x 5) (+ 1/16 (* -1 (/ (+ 1/16 (* -1 (/ (- 3/16 (* 3/16 (/ 1 x))) x))) x)))))
1
(+ 1 (* -1/2 (pow x 2)))
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(* (pow x 6) (- (/ 1 (pow x 6)) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))))
(* -1/16 (pow x 6))
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(* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
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(atan (* x (- (/ 1 x) 1)))
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1
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(/ (+ 1 (* -1 x)) x)
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(- (/ 1 x) 1)
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(- (/ 1 x) 1)
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(- (/ 1 x) 1)
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1
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1
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(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 (* -1 x))))
(atan (/ (- 1 (* 1/2 (pow x 2))) (- 1 (* -1 x))))
(atan (/ (- 1 (* 1/2 (pow x 2))) (- 1 (* -1 x))))
(atan (/ (- 1 (* 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)))
(* -1/2 x)
(* x (- (* 1/2 (/ 1 x)) 1/2))
(* x (- (+ (/ 1/2 (pow x 2)) (* 1/2 (/ 1 x))) 1/2))
(* x (- (+ (/ 1/2 (pow x 2)) (* 1/2 (/ 1 x))) (+ 1/2 (* 1/2 (/ 1 (pow x 3))))))
(* -1/2 x)
(* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))
(* -1 (* x (+ 1/2 (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) x)))))
(* -1 (* x (+ 1/2 (* -1 (/ (+ 1/2 (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) 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 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* 2 (atan (/ (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) (+ 1 x))))
(* 2 (atan (/ (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) (+ 1 x))))
(* 2 (atan (/ (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) (+ 1 x))))
(* 2 (atan (/ (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) (+ 1 x))))
(* 2 (atan (/ (+ 1 (* -1 (* (pow x 2) (+ 1/2 (* 1/8 (pow x 2)))))) (+ 1 x))))
(* 2 (atan (/ (+ 1 (* -1 (* (pow x 2) (+ 1/2 (* 1/8 (pow x 2)))))) (+ 1 x))))
(* 2 (atan (/ (+ 1 (* -1 (* (pow x 2) (+ 1/2 (* 1/8 (pow x 2)))))) (+ 1 x))))
(* 2 (atan (/ (+ 1 (* -1 (* (pow x 2) (+ 1/2 (* 1/8 (pow x 2)))))) (+ 1 x))))
(* 2 (atan (/ (+ 1 (* -1 (* (pow x 2) (+ 1/2 (* 1/8 (pow x 2)))))) (- 1 (* -1 x)))))
(* 2 (atan (/ (+ 1 (* -1 (* (pow x 2) (+ 1/2 (* 1/8 (pow x 2)))))) (- 1 (* -1 x)))))
(* 2 (atan (/ (+ 1 (* -1 (* (pow x 2) (+ 1/2 (* 1/8 (pow x 2)))))) (- 1 (* -1 x)))))
(* 2 (atan (/ (+ 1 (* -1 (* (pow x 2) (+ 1/2 (* 1/8 (pow x 2)))))) (- 1 (* -1 x)))))
(atan (/ (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) (+ 1 x)))
(atan (/ (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) (+ 1 x)))
(atan (/ (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) (+ 1 x)))
(atan (/ (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) (+ 1 x)))
(atan (/ (+ 1 (* -1 (* (pow x 2) (+ 1/2 (* 1/8 (pow x 2)))))) (+ 1 x)))
(atan (/ (+ 1 (* -1 (* (pow x 2) (+ 1/2 (* 1/8 (pow x 2)))))) (+ 1 x)))
(atan (/ (+ 1 (* -1 (* (pow x 2) (+ 1/2 (* 1/8 (pow x 2)))))) (+ 1 x)))
(atan (/ (+ 1 (* -1 (* (pow x 2) (+ 1/2 (* 1/8 (pow x 2)))))) (+ 1 x)))
(atan (/ (+ 1 (* -1 (* (pow x 2) (+ 1/2 (* 1/8 (pow x 2)))))) (- 1 (* -1 x))))
(atan (/ (+ 1 (* -1 (* (pow x 2) (+ 1/2 (* 1/8 (pow x 2)))))) (- 1 (* -1 x))))
(atan (/ (+ 1 (* -1 (* (pow x 2) (+ 1/2 (* 1/8 (pow x 2)))))) (- 1 (* -1 x))))
(atan (/ (+ 1 (* -1 (* (pow x 2) (+ 1/2 (* 1/8 (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)))
(* -1/8 (pow x 3))
(* (pow x 3) (- (* 1/8 (/ 1 x)) 1/8))
(* (pow x 3) (- (* 1/8 (/ 1 x)) (+ 1/8 (/ 5/8 (pow x 2)))))
(* (pow x 3) (- (+ (* 1/8 (/ 1 x)) (* 5/8 (/ 1 (pow x 3)))) (+ 1/8 (/ 5/8 (pow x 2)))))
(* -1/8 (pow x 3))
(* -1 (* (pow x 3) (- 1/8 (* 1/8 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/8 (* -1 (/ (- 1/8 (* 5/8 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 1/8 (* -1 (/ (+ 1/8 (* -1 (/ (- 5/8 (* 5/8 (/ 1 x))) x))) x)))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(* -1/8 (pow x 4))
(* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* -1/8 (pow x 4))
(* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))
(* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))
(* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))
(* -1/16 (pow x 6))
(* -1 (* (pow x 6) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(* -1/16 (pow x 6))
(* -1 (* (pow x 6) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(* -1/16 (pow x 2))
(* -1/16 (pow x 2))
(* -1/16 (pow x 2))
(* -1/16 (pow x 2))
(* -1/16 (pow x 2))
(* -1/16 (pow x 2))
(* -1/16 (pow x 2))
(* -1/16 (pow x 2))
(* -1/16 (pow x 2))
(* -1/16 (pow x 2))
(* -1/16 (pow x 2))
(* -1/16 (pow x 2))
(* -1/8 (pow x 2))
(* (pow x 2) (- (* -1/16 (pow x 2)) 1/8))
(* (pow x 2) (- (* -1/16 (pow x 2)) 1/8))
(* (pow x 2) (- (* -1/16 (pow x 2)) 1/8))
(* -1/16 (pow x 4))
(* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* -1/16 (pow x 4))
(* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (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))
(* 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))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))
(* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))
(* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))
(* -1/8 (pow x 4))
(* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* -1/8 (pow x 4))
(* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
Outputs
(* 2 (atan (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) (+ 1 x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/16 binary64)) #s(literal -1/8 binary64))) #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) x))))
(* 2 (atan (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) (+ 1 x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/16 binary64)) #s(literal -1/8 binary64))) #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) x))))
(* 2 (atan (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) (+ 1 x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/16 binary64)) #s(literal -1/8 binary64))) #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) x))))
(* 2 (atan (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) (+ 1 x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/16 binary64)) #s(literal -1/8 binary64))) #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) x))))
(* 2 (atan (/ (- (+ 1 (* -1 (* (pow x 4) (+ 1/8 (* 1/16 (pow x 2)))))) (* 1/2 (pow x 2))) (+ 1 x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/16 binary64)) #s(literal -1/8 binary64))) #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) x))))
(* 2 (atan (/ (- (+ 1 (* -1 (* (pow x 4) (+ 1/8 (* 1/16 (pow x 2)))))) (* 1/2 (pow x 2))) (+ 1 x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/16 binary64)) #s(literal -1/8 binary64))) #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) x))))
(* 2 (atan (/ (- (+ 1 (* -1 (* (pow x 4) (+ 1/8 (* 1/16 (pow x 2)))))) (* 1/2 (pow x 2))) (+ 1 x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/16 binary64)) #s(literal -1/8 binary64))) #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) x))))
(* 2 (atan (/ (- (+ 1 (* -1 (* (pow x 4) (+ 1/8 (* 1/16 (pow x 2)))))) (* 1/2 (pow x 2))) (+ 1 x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/16 binary64)) #s(literal -1/8 binary64))) #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) x))))
(* 2 (atan (/ (- (+ 1 (* -1 (* (pow x 4) (+ 1/8 (* 1/16 (pow x 2)))))) (* 1/2 (pow x 2))) (- 1 (* -1 x)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/16 binary64)) #s(literal -1/8 binary64))) #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) x))))
(* 2 (atan (/ (- (+ 1 (* -1 (* (pow x 4) (+ 1/8 (* 1/16 (pow x 2)))))) (* 1/2 (pow x 2))) (- 1 (* -1 x)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/16 binary64)) #s(literal -1/8 binary64))) #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) x))))
(* 2 (atan (/ (- (+ 1 (* -1 (* (pow x 4) (+ 1/8 (* 1/16 (pow x 2)))))) (* 1/2 (pow x 2))) (- 1 (* -1 x)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/16 binary64)) #s(literal -1/8 binary64))) #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) x))))
(* 2 (atan (/ (- (+ 1 (* -1 (* (pow x 4) (+ 1/8 (* 1/16 (pow x 2)))))) (* 1/2 (pow x 2))) (- 1 (* -1 x)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/16 binary64)) #s(literal -1/8 binary64))) #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) x))))
(atan (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) (+ 1 x)))
(atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/16 binary64)) #s(literal -1/8 binary64))) #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) x)))
(atan (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) (+ 1 x)))
(atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/16 binary64)) #s(literal -1/8 binary64))) #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) x)))
(atan (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) (+ 1 x)))
(atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/16 binary64)) #s(literal -1/8 binary64))) #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) x)))
(atan (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) (+ 1 x)))
(atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/16 binary64)) #s(literal -1/8 binary64))) #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) x)))
(atan (/ (- (+ 1 (* -1 (* (pow x 4) (+ 1/8 (* 1/16 (pow x 2)))))) (* 1/2 (pow x 2))) (+ 1 x)))
(atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/16 binary64)) #s(literal -1/8 binary64))) #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) x)))
(atan (/ (- (+ 1 (* -1 (* (pow x 4) (+ 1/8 (* 1/16 (pow x 2)))))) (* 1/2 (pow x 2))) (+ 1 x)))
(atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/16 binary64)) #s(literal -1/8 binary64))) #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) x)))
(atan (/ (- (+ 1 (* -1 (* (pow x 4) (+ 1/8 (* 1/16 (pow x 2)))))) (* 1/2 (pow x 2))) (+ 1 x)))
(atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/16 binary64)) #s(literal -1/8 binary64))) #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) x)))
(atan (/ (- (+ 1 (* -1 (* (pow x 4) (+ 1/8 (* 1/16 (pow x 2)))))) (* 1/2 (pow x 2))) (+ 1 x)))
(atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/16 binary64)) #s(literal -1/8 binary64))) #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) x)))
(atan (/ (- (+ 1 (* -1 (* (pow x 4) (+ 1/8 (* 1/16 (pow x 2)))))) (* 1/2 (pow x 2))) (- 1 (* -1 x))))
(atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/16 binary64)) #s(literal -1/8 binary64))) #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) x)))
(atan (/ (- (+ 1 (* -1 (* (pow x 4) (+ 1/8 (* 1/16 (pow x 2)))))) (* 1/2 (pow x 2))) (- 1 (* -1 x))))
(atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/16 binary64)) #s(literal -1/8 binary64))) #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) x)))
(atan (/ (- (+ 1 (* -1 (* (pow x 4) (+ 1/8 (* 1/16 (pow x 2)))))) (* 1/2 (pow x 2))) (- 1 (* -1 x))))
(atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/16 binary64)) #s(literal -1/8 binary64))) #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) x)))
(atan (/ (- (+ 1 (* -1 (* (pow x 4) (+ 1/8 (* 1/16 (pow x 2)))))) (* 1/2 (pow x 2))) (- 1 (* -1 x))))
(atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/16 binary64)) #s(literal -1/8 binary64))) #s(literal -1/2 binary64)))) (+.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 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))
(* -1/16 (pow x 5))
(*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (* 1/16 (/ 1 x)) 1/16))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal -1/16 binary64) (/.f64 #s(literal 1/16 binary64) x)))
(* (pow x 5) (- (* 1/16 (/ 1 x)) (+ 1/16 (/ 3/16 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -3/16 binary64) x)) x)))
(* (pow x 5) (- (+ (* 1/16 (/ 1 x)) (* 3/16 (/ 1 (pow x 3)))) (+ 1/16 (/ 3/16 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -3/16 binary64) x)) x)) (/.f64 #s(literal 3/16 binary64) (*.f64 x (*.f64 x x)))))
(* -1/16 (pow x 5))
(*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- 1/16 (* 1/16 (/ 1 x)))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal -1/16 binary64) (/.f64 #s(literal 1/16 binary64) x)))
(* -1 (* (pow x 5) (+ 1/16 (* -1 (/ (- 1/16 (* 3/16 (/ 1 x))) x)))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -3/16 binary64) x)) x)))
(* -1 (* (pow x 5) (+ 1/16 (* -1 (/ (+ 1/16 (* -1 (/ (- 3/16 (* 3/16 (/ 1 x))) x))) x)))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 (+.f64 (/.f64 #s(literal 3/16 binary64) x) #s(literal -3/16 binary64)) x)) x)))
1
#s(literal 1 binary64)
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(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/16 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))))
(* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/16 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))))
(* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/16 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))))
(* 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)))
(* -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)))
(* -1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
(* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))))
(* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))))
(* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))))
(* -1/8 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/8 binary64))))
(* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(* -1/8 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/8 binary64))))
(* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))

eval130.0ms (1.5%)

Compiler

Compiled 24958 to 2949 computations (88.2% saved)

prune80.0ms (0.9%)

Pruning

12 alts after pruning (1 fresh and 11 done)

PrunedKeptTotal
New8861887
Fresh000
Picked055
Done066
Total88612898
Accuracy
100.0%
Counts
898 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64))))))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x))))
✓99.4%
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64))))))) (+.f64 #s(literal 1 binary64) x))))
✓99.2%
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))))) (+.f64 #s(literal 1 binary64) x))))
✓99.1%
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) x))))
✓100.0%
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x))))
✓98.8%
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x)))
✓98.6%
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
✓98.8%
(*.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)))))))
✓98.2%
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)))))
✓4.3%
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 x (*.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)))))
✓97.6%
(*.f64 #s(literal 2 binary64) (atan.f64 #s(literal 1 binary64)))
Compiler

Compiled 514 to 260 computations (49.4% saved)

regimes26.0ms (0.3%)

Counts
19 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (atan.f64 #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 x (+.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 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))))) (+.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64))))))) (+.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64))))))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))) #s(literal -1 binary64)) (+.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))) #s(literal -1 binary64))))))
(*.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 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x))))))
Outputs
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x))))
Calls

5 calls:

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

regimes33.0ms (0.4%)

Counts
17 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (atan.f64 #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 x (+.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 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))))) (+.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64))))))) (+.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64))))))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))) #s(literal -1 binary64)) (+.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))) #s(literal -1 binary64))))))
(*.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:

14.0ms
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
5.0ms
x
4.0ms
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) 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
(/.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)

regimes7.0ms (0.1%)

Counts
16 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (atan.f64 #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 x (+.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 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))))) (+.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64))))))) (+.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64))))))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))) #s(literal -1 binary64)) (+.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))) #s(literal -1 binary64))))))
Outputs
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64))))))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x))))
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
99.4%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

Counts
13 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (atan.f64 #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 x (+.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 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))))) (+.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64))))))) (+.f64 #s(literal 1 binary64) x))))
Outputs
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64))))))) (+.f64 #s(literal 1 binary64) x))))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
99.4%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

Counts
12 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (atan.f64 #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 x (+.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 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))))) (+.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x))))))
Outputs
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))))) (+.f64 #s(literal 1 binary64) x))))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
99.2%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts
10 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (atan.f64 #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 x (+.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 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))))))
Outputs
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) x))))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
99.1%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts
8 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (atan.f64 #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 x (+.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 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (-.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 1/2 binary64)))) (-.f64 #s(literal 1 binary64) x))))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
99.0%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts
7 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (atan.f64 #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 x (+.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 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 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:

3.0ms
x
Results
AccuracySegmentsBranch
98.8%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts
4 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (atan.f64 #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)))))
Outputs
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
98.6%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
97.6%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify11.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
60×*-commutative_binary64
34×+-commutative_binary64
8×sub-neg_binary64
4×neg-sub0_binary64
4×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070150
1120150
2127150
3131150
4133150
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x 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)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/16 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 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64))))))) (+.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))))) (+.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 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 1/2 binary64)))) (-.f64 #s(literal 1 binary64) x))))
(*.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) x)))
(*.f64 #s(literal 2 binary64) (atan.f64 #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x 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)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64))))))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64))))))))) (+.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64))))))) (+.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))))) (+.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 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 1/2 binary64)))) (-.f64 #s(literal 1 binary64) x))))
(*.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) x)))
(*.f64 #s(literal 2 binary64) (atan.f64 #s(literal 1 binary64)))

soundness1.9s (22.1%)

Rules
4140×*-lowering-*.f32
4140×*-lowering-*.f64
2902×fma-lowering-fma.f32
2902×fma-lowering-fma.f64
2690×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0935
14635
234735
3481135
0813335
042322
1242281
22250281
08895281
0107519
1313449
2908437
32496429
08510429
02032783
15812521
218182483
377192482
085492482
01831840
15321702
215561600
352501595
082991595
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 446 to 276 computations (38.1% saved)

preprocess73.0ms (0.9%)

Compiler

Compiled 326 to 158 computations (51.5% saved)

end0.0ms (0%)

Profiling

Loading profile data...