Rust f32::asinh

Time bar (total: 8.5s)

analyze0.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.6%0.4%0%0%0%0
100%99.6%0%0.4%0%0%0%1
Compiler

Compiled 4 to 3 computations (25% saved)

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

sample499.0ms (5.9%)

Results
379.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 160.0ms
ival-asinh: 150.0ms (93.9% of total)
const: 7.0ms (4.4% of total)
backward-pass: 3.0ms (1.9% of total)
Bogosity

preprocess16.0ms (0.2%)

Algorithm
2×egg-herbie
Rules
16×sum3-define
12×sub-neg
8×+-lowering-+.f64
8×+-lowering-+.f32
8×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059
1119
2159
3189
4309
5379
6469
7529
0911
1159
2169
3179
0179
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x)
Outputs
(copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
Call 2
Inputs
(asinh x)
(asinh (neg x))
(neg (asinh (neg x)))
Outputs
(asinh x)
(asinh (neg x))
(neg (asinh (neg x)))

explain448.0ms (5.3%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1270-2(0.01818251423537731)(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))
690-0-(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))
00-0-x
00-0-(fabs.f32 x)
00-0-(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))
00-0-(+.f32 (*.f32 x x) #s(literal 1 binary32))
00-0-(*.f32 x x)
00-0-(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
00-0-#s(literal 1 binary32)
Results
348.0ms362×0valid
45.0ms150×1valid
Compiler

Compiled 115 to 29 computations (74.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 342.0ms
ival-fabs: 294.0ms (85.9% of total)
ival-log: 13.0ms (3.8% of total)
ival-add: 12.0ms (3.5% of total)
ival-mult: 7.0ms (2% of total)
ival-copysign: 6.0ms (1.8% of total)
ival-sqrt: 5.0ms (1.5% of total)
backward-pass: 4.0ms (1.2% of total)
const: 1.0ms (0.3% of total)

eval0.0ms (0%)

Compiler

Compiled 10 to 7 computations (30% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶60.1%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
▶34.9%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Compiler

Compiled 23 to 16 computations (30.4% saved)

simplify9.0ms (0.1%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fabs.f32 x)
✓cost-diff0
(+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))
✓cost-diff0
(log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)))
✓cost-diff0
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
✓cost-diff96
(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))
✓cost-diff96
(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))
✓cost-diff96
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))
✓cost-diff96
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Rules
8×+-lowering-+.f64
8×+-lowering-+.f32
6×+-commutative
2×hypot-1-def
2×sqrt-lowering-sqrt.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01564
12264
02264
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x)
(log (+ (fabs x) (sqrt (+ (* x x) 1))))
(+ (fabs x) (sqrt (+ (* x x) 1)))
(fabs x)
x
(sqrt (+ (* x x) 1))
(+ (* x x) 1)
(* x x)
1
(copysign (log (+ (fabs x) (sqrt (+ (* 1 1) (* x x))))) x)
(log (+ (fabs x) (sqrt (+ (* 1 1) (* x x)))))
(+ (fabs x) (sqrt (+ (* 1 1) (* x x))))
(fabs x)
x
(sqrt (+ (* 1 1) (* x x)))
1
Outputs
(copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(log (+ (fabs x) (sqrt (+ (* x x) 1))))
(log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)))
(+ (fabs x) (sqrt (+ (* x x) 1)))
(+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))
(fabs x)
(fabs.f32 x)
x
(sqrt (+ (* x x) 1))
(hypot.f32 #s(literal 1 binary32) x)
(+ (* x x) 1)
(+.f32 (*.f32 x x) #s(literal 1 binary32))
(* x x)
(*.f32 x x)
1
#s(literal 1 binary32)
(copysign (log (+ (fabs x) (sqrt (+ (* 1 1) (* x x))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(log (+ (fabs x) (sqrt (+ (* 1 1) (* x x)))))
(log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)))
(+ (fabs x) (sqrt (+ (* 1 1) (* x x))))
(+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))
(fabs x)
(fabs.f32 x)
x
(sqrt (+ (* 1 1) (* x x)))
(hypot.f32 #s(literal 1 binary32) x)
1
#s(literal 1 binary32)

localize203.0ms (2.4%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
✓accuracy100.0%
(fabs.f32 x)
✓accuracy100.0%
(+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))
✓accuracy88.8%
(log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)))
✓accuracy100.0%
(+.f32 (*.f32 x x) #s(literal 1 binary32))
✓accuracy100.0%
(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))
✓accuracy88.8%
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))
✓accuracy76.8%
(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))
Results
110.0ms85×5exit
56.0ms171×0valid
Compiler

Compiled 80 to 14 computations (82.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 145.0ms
compiled-spec: 43.0ms (29.7% of total)
ival-mult: 29.0ms (20% of total)
ival-add: 21.0ms (14.5% of total)
backward-pass: 19.0ms (13.1% of total)
ival-log: 16.0ms (11% of total)
ival-copysign: 7.0ms (4.8% of total)
ival-sqrt: 6.0ms (4.1% of total)
ival-fabs: 3.0ms (2.1% of total)
const: 1.0ms (0.7% of total)

series6.0ms (0.1%)

Counts
9 → 108
Calls
Call 1
Inputs
#<alt (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x)>
#<alt (log (+ (fabs x) (sqrt (+ (* x x) 1))))>
#<alt (+ (fabs x) (sqrt (+ (* x x) 1)))>
#<alt (sqrt (+ (* x x) 1))>
#<alt (copysign (log (+ (fabs x) (sqrt (+ (* 1 1) (* x x))))) x)>
#<alt (log (+ (fabs x) (sqrt (+ (* 1 1) (* x x)))))>
#<alt (+ (fabs x) (sqrt (+ (* 1 1) (* x x))))>
#<alt (fabs x)>
#<alt (+ (* x x) 1)>
Outputs
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (log (+ 1 (fabs x)))>
#<alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))>
#<alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
#<alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))>
#<alt (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))>
#<alt (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))>
#<alt (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))>
#<alt (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))>
#<alt x>
#<alt (* x (+ 1 (/ (fabs x) x)))>
#<alt (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))>
#<alt (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))>
#<alt (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))>
#<alt (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (log (+ 1 (fabs x)))>
#<alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))>
#<alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
#<alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))>
#<alt (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))>
#<alt (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))>
#<alt (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))>
#<alt (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))>
#<alt x>
#<alt (* x (+ 1 (/ (fabs x) x)))>
#<alt (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))>
#<alt (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt 1>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (pow x 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
Calls

27 calls:

TimeVariablePointExpression
1.0ms
x
@0
(log (+ (fabs x) (sqrt (+ (* x x) 1))))
1.0ms
x
@inf
(log (+ (fabs x) (sqrt (+ (* x x) 1))))
0.0ms
x
@-inf
(log (+ (fabs x) (sqrt (+ (* x x) 1))))
0.0ms
x
@inf
(sqrt (+ (* x x) 1))
0.0ms
x
@-inf
(sqrt (+ (* x x) 1))

rewrite313.0ms (3.7%)

Algorithm
1×batch-egg-rewrite
Rules
2410×*-lowering-*.f32
2410×*-lowering-*.f64
1896×/-lowering-/.f32
1896×/-lowering-/.f64
1588×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01553
17453
246453
3569253
0854253
Stop Event
1×iter limit
1×node limit
Counts
9 → 324
Calls
Call 1
Inputs
(copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x)
(log (+ (fabs x) (sqrt (+ (* x x) 1))))
(+ (fabs x) (sqrt (+ (* x x) 1)))
(sqrt (+ (* x x) 1))
(copysign (log (+ (fabs x) (sqrt (+ (* 1 1) (* x x))))) x)
(log (+ (fabs x) (sqrt (+ (* 1 1) (* x x)))))
(+ (fabs x) (sqrt (+ (* 1 1) (* x x))))
(fabs x)
(+ (* x x) 1)
Outputs
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)))))
(+.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) (log.f32 (*.f32 (-.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 1 binary32) (-.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))))))
(+.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) (log.f32 (/.f32 (-.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)) (-.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)))))
(+.f32 #s(literal 0 binary32) (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))))
(+.f32 (log.f32 (+.f32 (pow.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)) #s(literal 3/2 binary32)) (*.f32 x (*.f32 x x)))) (neg.f32 (log1p.f32 (+.f32 (*.f32 x x) (-.f32 (*.f32 x x) (*.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)))))))
(+.f32 (log1p.f32 (+.f32 (*.f32 x x) (-.f32 (*.f32 x x) (*.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))))) (log.f32 (*.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)) (-.f32 (*.f32 x x) (*.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))))))))
(+.f32 (log1p.f32 (+.f32 (*.f32 x x) (-.f32 (*.f32 x x) (*.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))))) (log.f32 (/.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)) (+.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)) (-.f32 (*.f32 x x) (*.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)))))))
(+.f32 (log.f32 (-.f32 (*.f32 x x) (+.f32 (*.f32 x x) #s(literal 1 binary32)))) (neg.f32 (log.f32 (-.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)))))
(+.f32 (log.f32 (neg.f32 (+.f32 (pow.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)) #s(literal 3/2 binary32)) (*.f32 x (*.f32 x x))))) (log.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)) (-.f32 (*.f32 x x) (*.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))))))))
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(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x (*.f32 x (*.f32 x x)))))) (+.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x (*.f32 x (*.f32 x x))))))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x (*.f32 x (*.f32 x x)))))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 x (*.f32 x (*.f32 x x)))))))
(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x (*.f32 x (*.f32 x x)))))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 (*.f32 x x) #s(literal -1 binary32))))) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x x) #s(literal -1 binary32))))) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x x) #s(literal -1 binary32))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x x)))) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x (*.f32 x (*.f32 x x))))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 (*.f32 x x) #s(literal 1 binary32))))))
(*.f32 (/.f32 (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal -1 binary32)) (+.f32 (*.f32 x (*.f32 x (*.f32 x (*.f32 x (*.f32 x x))))) #s(literal -1 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 (*.f32 x x) #s(literal 1 binary32))))))

simplify321.0ms (3.8%)

Algorithm
1×egg-herbie
Rules
4466×*-lowering-*.f32
4466×*-lowering-*.f64
2106×sum3-define
1806×fma-lowering-fma.f32
1806×fma-lowering-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01691315
15171085
217661053
367531053
080591053
Stop Event
1×iter limit
1×node limit
Counts
108 → 108
Calls
Call 1
Inputs
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
(* -1 (log (/ -1 x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(+ 1 (fabs x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
x
(* x (+ 1 (/ (fabs x) x)))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
(* -1 (log (/ -1 x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(+ 1 (fabs x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
x
(* x (+ 1 (/ (fabs x) x)))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
1
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
Outputs
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+.f32 (log1p.f32 (fabs.f32 x)) (/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+.f32 (log1p.f32 (fabs.f32 x)) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))))) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+.f32 (log1p.f32 (fabs.f32 x)) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (*.f32 x (*.f32 x (+.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32)))) (*.f32 (+.f32 (/.f32 #s(literal 45 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (+.f32 (/.f32 #s(literal 45 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal 30 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 3 binary32))))) (*.f32 (*.f32 x x) #s(literal 1/720 binary32)))))))))
(* -1 (log (/ 1 x)))
(log.f32 x)
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+.f32 (/.f32 (fabs.f32 x) x) (+.f32 (log.f32 x) (*.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 1 binary32)))))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
(+.f32 (log.f32 x) (+.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 1 binary32))) (+.f32 (/.f32 (fabs.f32 x) x) (*.f32 (*.f32 (fabs.f32 x) (+.f32 #s(literal -3 binary32) (*.f32 #s(literal 2 binary32) (*.f32 x x)))) (/.f32 #s(literal 1/6 binary32) (*.f32 x (*.f32 x x)))))))
(* -1 (log (/ -1 x)))
(neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(-.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) x)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) x) (fabs.f32 x)) x) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(-.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 (+.f32 (fabs.f32 x) (/.f32 (+.f32 (*.f32 (*.f32 (fabs.f32 x) (+.f32 #s(literal -3 binary32) (*.f32 #s(literal 2 binary32) (*.f32 x x)))) (/.f32 #s(literal 1/6 binary32) x)) (+.f32 #s(literal -1/2 binary32) (*.f32 x (*.f32 x #s(literal 1/2 binary32))))) x)) x))
(+ 1 (fabs x))
(+.f32 (fabs.f32 x) #s(literal 1 binary32))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+.f32 (fabs.f32 x) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(+.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
(+.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32)))))))
x
(* x (+ 1 (/ (fabs x) x)))
(*.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) x)))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(*.f32 x (+.f32 (/.f32 (fabs.f32 x) x) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))))
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(*.f32 x (+.f32 (/.f32 (fabs.f32 x) x) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))))
(* -1 x)
(neg.f32 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(-.f32 (/.f32 (*.f32 x (fabs.f32 x)) x) x)
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(-.f32 (/.f32 (*.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x) x) x)
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(*.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)) x)))
1
#s(literal 1 binary32)
(+ 1 (* 1/2 (pow x 2)))
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 1/2 binary32))))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32)))))))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(*.f32 x (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(*.f32 x (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x (*.f32 x x)))))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(*.f32 x (+.f32 (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x (*.f32 x x)))))) (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32)))))
(* -1 x)
(neg.f32 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(*.f32 x (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(*.f32 x (+.f32 #s(literal -1 binary32) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x (*.f32 x x))))) #s(literal -1 binary32))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(*.f32 (neg.f32 x) (+.f32 (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x (*.f32 x x)))))) (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32)))))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+.f32 (log1p.f32 (fabs.f32 x)) (/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+.f32 (log1p.f32 (fabs.f32 x)) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))))) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+.f32 (log1p.f32 (fabs.f32 x)) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (*.f32 x (*.f32 x (+.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32)))) (*.f32 (+.f32 (/.f32 #s(literal 45 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (+.f32 (/.f32 #s(literal 45 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal 30 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 3 binary32))))) (*.f32 (*.f32 x x) #s(literal 1/720 binary32)))))))))
(* -1 (log (/ 1 x)))
(log.f32 x)
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+.f32 (/.f32 (fabs.f32 x) x) (+.f32 (log.f32 x) (*.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 1 binary32)))))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
(+.f32 (log.f32 x) (+.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 1 binary32))) (+.f32 (/.f32 (fabs.f32 x) x) (*.f32 (*.f32 (fabs.f32 x) (+.f32 #s(literal -3 binary32) (*.f32 #s(literal 2 binary32) (*.f32 x x)))) (/.f32 #s(literal 1/6 binary32) (*.f32 x (*.f32 x x)))))))
(* -1 (log (/ -1 x)))
(neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(-.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) x)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) x) (fabs.f32 x)) x) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(-.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 (+.f32 (fabs.f32 x) (/.f32 (+.f32 (*.f32 (*.f32 (fabs.f32 x) (+.f32 #s(literal -3 binary32) (*.f32 #s(literal 2 binary32) (*.f32 x x)))) (/.f32 #s(literal 1/6 binary32) x)) (+.f32 #s(literal -1/2 binary32) (*.f32 x (*.f32 x #s(literal 1/2 binary32))))) x)) x))
(+ 1 (fabs x))
(+.f32 (fabs.f32 x) #s(literal 1 binary32))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+.f32 (fabs.f32 x) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(+.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
(+.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32)))))))
x
(* x (+ 1 (/ (fabs x) x)))
(*.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) x)))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(*.f32 x (+.f32 (/.f32 (fabs.f32 x) x) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))))
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(*.f32 x (+.f32 (/.f32 (fabs.f32 x) x) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))))
(* -1 x)
(neg.f32 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(-.f32 (/.f32 (*.f32 x (fabs.f32 x)) x) x)
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(-.f32 (/.f32 (*.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x) x) x)
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(*.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)) x)))
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
1
#s(literal 1 binary32)
(+ 1 (pow x 2))
(+.f32 #s(literal 1 binary32) (*.f32 x x))
(+ 1 (pow x 2))
(+.f32 #s(literal 1 binary32) (*.f32 x x))
(+ 1 (pow x 2))
(+.f32 #s(literal 1 binary32) (*.f32 x x))
(pow x 2)
(*.f32 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+.f32 #s(literal 1 binary32) (*.f32 x x))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+.f32 #s(literal 1 binary32) (*.f32 x x))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+.f32 #s(literal 1 binary32) (*.f32 x x))
(pow x 2)
(*.f32 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+.f32 #s(literal 1 binary32) (*.f32 x x))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+.f32 #s(literal 1 binary32) (*.f32 x x))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+.f32 #s(literal 1 binary32) (*.f32 x x))

eval66.0ms (0.8%)

Compiler

Compiled 13259 to 1528 computations (88.5% saved)

prune81.0ms (1%)

Pruning

24 alts after pruning (22 fresh and 2 done)

PrunedKeptTotal
New42622448
Fresh000
Picked022
Done000
Total42624450
Accuracy
100.0%
Counts
450 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
69.2%
(copysign.f32 (+.f32 (log1p.f32 (+.f32 (*.f32 x x) (-.f32 (*.f32 x x) (*.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))))) (log.f32 (/.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)) (+.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)) (-.f32 (*.f32 x x) (*.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))))))) x)
55.8%
(copysign.f32 (+.f32 (log1p.f32 (fabs.f32 x)) (/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) x)
55.1%
(copysign.f32 (+.f32 (log1p.f32 (fabs.f32 x)) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (*.f32 x (*.f32 x (+.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32)))) (*.f32 (+.f32 (/.f32 #s(literal 45 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (+.f32 (/.f32 #s(literal 45 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal 30 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 3 binary32))))) (*.f32 (*.f32 x x) #s(literal 1/720 binary32))))))))) x)
55.2%
(copysign.f32 (+.f32 (log1p.f32 (fabs.f32 x)) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))))) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))))) x)
▶60.1%
(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))))) x)
14.4%
(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))) x)
▶69.9%
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
15.3%
(copysign.f32 (log.f32 (-.f32 (/.f32 (*.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x) x) x)) x)
16.0%
(copysign.f32 (log.f32 (-.f32 (/.f32 (*.f32 x (fabs.f32 x)) x) x)) x)
16.1%
(copysign.f32 (log.f32 (+.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32)))))))) x)
▶11.6%
(copysign.f32 (log.f32 (+.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))) x)
24.3%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (pow.f32 (*.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)) (+.f32 (*.f32 x x) #s(literal 1 binary32))) #s(literal 1/4 binary32)))) x)
✓60.1%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
19.1%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))))) x)
25.6%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (*.f32 x (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))))) x)
24.9%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (*.f32 x (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))))) x)
✓34.9%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
▶30.9%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (neg.f32 x))) x)
26.7%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) x)) x)
31.3%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
29.0%
(copysign.f32 (log.f32 (*.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)) x)))) x)
24.9%
(copysign.f32 (log.f32 (*.f32 x (+.f32 (/.f32 (fabs.f32 x) x) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))))) x)
14.4%
(copysign.f32 (log.f32 (neg.f32 x)) x)
▶12.2%
(copysign.f32 (log.f32 x) x)
Compiler

Compiled 881 to 514 computations (41.7% saved)

simplify251.0ms (3%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)))
✓cost-diff32
(log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))))
✓cost-diff96
(neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)))))
✓cost-diff96
(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))))) x)
✓cost-diff0
(+.f32 (fabs.f32 x) #s(literal 1 binary32))
✓cost-diff0
(+.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))
✓cost-diff64
(log.f32 (+.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32))))))
✓cost-diff64
(copysign.f32 (log.f32 (+.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))) x)
✓cost-diff0
(fabs.f32 x)
✓cost-diff32
(+.f32 (fabs.f32 x) (neg.f32 x))
✓cost-diff32
(log.f32 (+.f32 (fabs.f32 x) (neg.f32 x)))
✓cost-diff32
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (neg.f32 x))) x)
✓cost-diff0
(log.f32 x)
✓cost-diff0
(copysign.f32 (log.f32 x) x)
✓cost-diff0
(fabs.f32 x)
✓cost-diff0
(log1p.f32 (fabs.f32 x))
✓cost-diff0
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
Rules
2472×fma-lowering-fma.f32
2472×fma-lowering-fma.f64
2432×sum5-define
2108×sum4-define
2104×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
030161
165152
2155148
3301148
4584148
51092148
62016148
72893148
83992148
96381148
106490148
116542148
127163148
137171148
08496148
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(copysign (log (+ 1 (fabs x))) x)
(log (+ 1 (fabs x)))
(fabs x)
x
(copysign (log x) x)
(log x)
x
(copysign (log (+ (fabs x) (neg x))) x)
(log (+ (fabs x) (neg x)))
(+ (fabs x) (neg x))
(fabs x)
x
(neg x)
(copysign (log (+ (+ (fabs x) 1) (* (* x x) (+ 1/2 (* (* x x) -1/8))))) x)
(log (+ (+ (fabs x) 1) (* (* x x) (+ 1/2 (* (* x x) -1/8)))))
(+ (+ (fabs x) 1) (* (* x x) (+ 1/2 (* (* x x) -1/8))))
(+ (fabs x) 1)
(fabs x)
x
1
(* (* x x) (+ 1/2 (* (* x x) -1/8)))
(* x x)
(+ 1/2 (* (* x x) -1/8))
1/2
(* (* x x) -1/8)
-1/8
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ (* 1 1) (* x x))))))) x)
(neg (log (/ 1 (+ (fabs x) (sqrt (+ (* 1 1) (* x x)))))))
(log (/ 1 (+ (fabs x) (sqrt (+ (* 1 1) (* x x))))))
(/ 1 (+ (fabs x) (sqrt (+ (* 1 1) (* x x)))))
1
(+ (fabs x) (sqrt (+ (* 1 1) (* x x))))
(fabs x)
x
(sqrt (+ (* 1 1) (* x x)))
Outputs
(copysign (log (+ 1 (fabs x))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(fabs x)
(fabs.f32 x)
x
(copysign (log x) x)
(copysign.f32 (log.f32 x) x)
(log x)
(log.f32 x)
x
(copysign (log (+ (fabs x) (neg x))) x)
(copysign.f32 (log.f32 (-.f32 (fabs.f32 x) x)) x)
(log (+ (fabs x) (neg x)))
(log.f32 (-.f32 (fabs.f32 x) x))
(+ (fabs x) (neg x))
(-.f32 (fabs.f32 x) x)
(fabs x)
(fabs.f32 x)
x
(neg x)
(neg.f32 x)
(copysign (log (+ (+ (fabs x) 1) (* (* x x) (+ 1/2 (* (* x x) -1/8))))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x #s(literal -1/8 binary32))))))) x)
(log (+ (+ (fabs x) 1) (* (* x x) (+ 1/2 (* (* x x) -1/8)))))
(log1p.f32 (+.f32 (fabs.f32 x) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x #s(literal -1/8 binary32)))))))
(+ (+ (fabs x) 1) (* (* x x) (+ 1/2 (* (* x x) -1/8))))
(+.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x #s(literal -1/8 binary32))))))
(+ (fabs x) 1)
(+.f32 #s(literal 1 binary32) (fabs.f32 x))
(fabs x)
(fabs.f32 x)
x
1
#s(literal 1 binary32)
(* (* x x) (+ 1/2 (* (* x x) -1/8)))
(*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x #s(literal -1/8 binary32)))))
(* x x)
(*.f32 x x)
(+ 1/2 (* (* x x) -1/8))
(+.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x #s(literal -1/8 binary32))))
1/2
#s(literal 1/2 binary32)
(* (* x x) -1/8)
(*.f32 x (*.f32 x #s(literal -1/8 binary32)))
-1/8
#s(literal -1/8 binary32)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ (* 1 1) (* x x))))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(neg (log (/ 1 (+ (fabs x) (sqrt (+ (* 1 1) (* x x)))))))
(log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)))
(log (/ 1 (+ (fabs x) (sqrt (+ (* 1 1) (* x x))))))
(neg.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))))
(/ 1 (+ (fabs x) (sqrt (+ (* 1 1) (* x x)))))
(/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)))
1
#s(literal 1 binary32)
(+ (fabs x) (sqrt (+ (* 1 1) (* x x))))
(+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))
(fabs x)
(fabs.f32 x)
x
(sqrt (+ (* 1 1) (* x x)))
(hypot.f32 #s(literal 1 binary32) x)

localize150.0ms (1.8%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))
✓accuracy100.0%
(neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)))))
✓accuracy100.0%
(log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))))
✓accuracy100.0%
(fabs.f32 x)
✓accuracy100.0%
(*.f32 (*.f32 x x) #s(literal -1/8 binary32))
✓accuracy100.0%
(*.f32 x x)
✓accuracy100.0%
(log.f32 (+.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32))))))
✓accuracy100.0%
(fabs.f32 x)
✓accuracy100.0%
(+.f32 (fabs.f32 x) (neg.f32 x))
✓accuracy100.0%
(neg.f32 x)
✓accuracy100.0%
(log.f32 (+.f32 (fabs.f32 x) (neg.f32 x)))
✓accuracy100.0%
(fabs.f32 x)
✓accuracy100.0%
(copysign.f32 (log.f32 x) x)
✓accuracy100.0%
(log.f32 x)
✓accuracy100.0%
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
✓accuracy100.0%
(log1p.f32 (fabs.f32 x))
✓accuracy100.0%
(fabs.f32 x)
Results
112.0ms256×0invalid
Compiler

Compiled 184 to 28 computations (84.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 67.0ms
compiled-spec: 18.0ms (26.8% of total)
ival-log: 14.0ms (20.8% of total)
ival-copysign: 10.0ms (14.9% of total)
ival-add: 9.0ms (13.4% of total)
ival-mult: 8.0ms (11.9% of total)
ival-div: 2.0ms (3% of total)
ival-fabs: 2.0ms (3% of total)
ival-sqrt: 2.0ms (3% of total)
ival-neg: 2.0ms (3% of total)
const: 1.0ms (1.5% of total)
backward-pass: 0.0ms (0% of total)

series194.0ms (2.3%)

Counts
20 → 240
Calls
Call 1
Inputs
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (log (+ 1 (fabs x)))>
#<alt (fabs x)>
#<alt (copysign (log x) x)>
#<alt (log x)>
#<alt (copysign (log (+ (fabs x) (neg x))) x)>
#<alt (log (+ (fabs x) (neg x)))>
#<alt (+ (fabs x) (neg x))>
#<alt (copysign (log (+ (+ (fabs x) 1) (* (* x x) (+ 1/2 (* (* x x) -1/8))))) x)>
#<alt (log (+ (+ (fabs x) 1) (* (* x x) (+ 1/2 (* (* x x) -1/8)))))>
#<alt (+ (+ (fabs x) 1) (* (* x x) (+ 1/2 (* (* x x) -1/8))))>
#<alt (+ (fabs x) 1)>
#<alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ (* 1 1) (* x x))))))) x)>
#<alt (neg (log (/ 1 (+ (fabs x) (sqrt (+ (* 1 1) (* x x)))))))>
#<alt (log (/ 1 (+ (fabs x) (sqrt (+ (* 1 1) (* x x))))))>
#<alt (/ 1 (+ (fabs x) (sqrt (+ (* 1 1) (* x x)))))>
#<alt (neg x)>
#<alt (* x x)>
#<alt (* (* x x) -1/8)>
#<alt (+ (fabs x) (sqrt (+ (* 1 1) (* x x))))>
Outputs
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (copysign (log x) x)>
#<alt (copysign (log x) x)>
#<alt (copysign (log x) x)>
#<alt (copysign (log x) x)>
#<alt (copysign (log x) x)>
#<alt (copysign (log x) x)>
#<alt (copysign (log x) x)>
#<alt (copysign (log x) x)>
#<alt (copysign (log x) x)>
#<alt (copysign (log x) x)>
#<alt (copysign (log x) x)>
#<alt (copysign (log x) x)>
#<alt (log x)>
#<alt (log x)>
#<alt (log x)>
#<alt (log x)>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (copysign (log (- (fabs x) x)) x)>
#<alt (copysign (log (- (fabs x) x)) x)>
#<alt (copysign (log (- (fabs x) x)) x)>
#<alt (copysign (log (- (fabs x) x)) x)>
#<alt (copysign (log (- (fabs x) x)) x)>
#<alt (copysign (log (- (fabs x) x)) x)>
#<alt (copysign (log (- (fabs x) x)) x)>
#<alt (copysign (log (- (fabs x) x)) x)>
#<alt (copysign (log (+ (fabs x) (* -1 x))) x)>
#<alt (copysign (log (+ (fabs x) (* -1 x))) x)>
#<alt (copysign (log (+ (fabs x) (* -1 x))) x)>
#<alt (copysign (log (+ (fabs x) (* -1 x))) x)>
#<alt (log (fabs x))>
#<alt (+ (log (fabs x)) (* -1 (/ x (fabs x))))>
#<alt (+ (log (fabs x)) (* x (- (* -1/2 (/ x (pow (fabs x) 2))) (/ 1 (fabs x)))))>
#<alt (+ (log (fabs x)) (* x (- (* x (- (* -1/3 (/ x (pow (fabs x) 3))) (* 1/2 (/ 1 (pow (fabs x) 2))))) (/ 1 (fabs x)))))>
#<alt (+ (log -1) (* -1 (log (/ 1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (fabs x) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (* -1/2 (/ (pow (fabs x) 2) (pow x 2))))))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (+ (* -1/2 (/ (pow (fabs x) 2) (pow x 2))) (* -1/3 (/ (pow (fabs x) 3) (pow x 3)))))))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* 1/2 (/ (pow (fabs x) 2) x))) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/2 (pow (fabs x) 2)) (* -1/3 (/ (pow (fabs x) 3) x))) x))) x)))>
#<alt (fabs x)>
#<alt (+ (fabs x) (* -1 x))>
#<alt (+ (fabs x) (* -1 x))>
#<alt (+ (fabs x) (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ (fabs x) x) 1))>
#<alt (* x (- (/ (fabs x) x) 1))>
#<alt (* x (- (/ (fabs x) x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))>
#<alt (copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))) x)>
#<alt (copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)>
#<alt (copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)>
#<alt (copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)>
#<alt (copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)>
#<alt (copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)>
#<alt (copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)>
#<alt (copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)>
#<alt (copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)>
#<alt (log (+ 1 (fabs x)))>
#<alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))>
#<alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
#<alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3)))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
#<alt (+ (log -1/8) (* -4 (log (/ 1 x))))>
#<alt (- (+ (log -1/8) (* -4 (log (/ 1 x)))) (* 4 (/ 1 (pow x 2))))>
#<alt (- (+ (log -1/8) (+ (* -4 (log (/ 1 x))) (* 1/24 (/ (- (* -192 (+ 1 (fabs x))) 192) (pow x 4))))) (* 4 (/ 1 (pow x 2))))>
#<alt (- (+ (log -1/8) (+ (* -4 (log (/ 1 x))) (+ (* 1/720 (/ (- (* -23040 (+ 1 (fabs x))) 15360) (pow x 6))) (* 1/24 (/ (- (* -192 (+ 1 (fabs x))) 192) (pow x 4)))))) (* 4 (/ 1 (pow x 2))))>
#<alt (+ (log -1/8) (* -4 (log (/ -1 x))))>
#<alt (- (+ (log -1/8) (* -4 (log (/ -1 x)))) (* 4 (/ 1 (pow x 2))))>
#<alt (- (+ (log -1/8) (+ (* -4 (log (/ -1 x))) (* 1/24 (/ (- (* -192 (+ 1 (fabs x))) 192) (pow x 4))))) (* 4 (/ 1 (pow x 2))))>
#<alt (- (+ (log -1/8) (+ (* -4 (log (/ -1 x))) (+ (* 1/720 (/ (- (* -23040 (+ 1 (fabs x))) 15360) (pow x 6))) (* 1/24 (/ (- (* -192 (+ 1 (fabs x))) 192) (pow x 4)))))) (* 4 (/ 1 (pow x 2))))>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))>
#<alt (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))>
#<alt (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))>
#<alt (* -1/8 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))>
#<alt (* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (/ (fabs x) (pow x 4)))) 1/8))>
#<alt (* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (/ (fabs x) (pow x 4)))) 1/8))>
#<alt (* -1/8 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))>
#<alt (* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (/ (fabs x) (pow x 4)))) 1/8))>
#<alt (* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (/ (fabs x) (pow x 4)))) 1/8))>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (fabs x))>
#<alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)>
#<alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)>
#<alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)>
#<alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)>
#<alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)>
#<alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)>
#<alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)>
#<alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)>
#<alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)>
#<alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)>
#<alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)>
#<alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)>
#<alt (* -1 (log (/ 1 (+ 1 (fabs x)))))>
#<alt (- (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) (log (/ 1 (+ 1 (fabs x)))))>
#<alt (- (* (pow x 2) (+ (* -1/24 (* (pow x 2) (- (* 24 (* (+ 1 (fabs x)) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))) (log (/ 1 (+ 1 (fabs x)))))>
#<alt (- (* (pow x 2) (+ (* (pow x 2) (- (* -1/720 (* (pow x 2) (- (+ (* -720 (* (+ 1 (fabs x)) (+ (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 3))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))) (+ 1 (fabs x)))) (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 2))))))) (* 360 (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 1/24 (- (* 24 (* (+ 1 (fabs x)) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))) (log (/ 1 (+ 1 (fabs x)))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (- (/ (fabs x) x) (log (/ 1 x)))>
#<alt (- (* -1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) (pow x 2))) (+ (log (/ 1 x)) (* -1 (/ (fabs x) x))))>
#<alt (- (* -1/6 (/ (+ (* -6 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (+ (* -6 (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x)))) (* -2 (pow (fabs x) 3)))) (pow x 3))) (+ (log (/ 1 x)) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) (pow x 2))))))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (- (* -1 (/ (fabs x) x)) (log (/ -1 x)))>
#<alt (- (* -1 (/ (- (* 1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) x)) (* -1 (fabs x))) x)) (log (/ -1 x)))>
#<alt (- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -6 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (+ (* -6 (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x)))) (* -2 (pow (fabs x) 3)))) x)) (* 1/2 (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))))) x)) (* -1 (fabs x))) x)) (log (/ -1 x)))>
#<alt (log (/ 1 (+ 1 (fabs x))))>
#<alt (+ (log (/ 1 (+ 1 (fabs x)))) (* -1/2 (/ (pow x 2) (+ 1 (fabs x)))))>
#<alt (+ (log (/ 1 (+ 1 (fabs x)))) (* (pow x 2) (- (* 1/24 (* (pow x 2) (- (* 24 (* (+ 1 (fabs x)) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
#<alt (+ (log (/ 1 (+ 1 (fabs x)))) (* (pow x 2) (- (* (pow x 2) (+ (* 1/720 (* (pow x 2) (- (+ (* -720 (* (+ 1 (fabs x)) (+ (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 2))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))) (+ 1 (fabs x)))) (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 3))))))) (* 360 (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 1/24 (- (* 24 (* (+ 1 (fabs x)) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
#<alt (log (/ 1 x))>
#<alt (+ (log (/ 1 x)) (* -1 (/ (fabs x) x)))>
#<alt (+ (log (/ 1 x)) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) (pow x 2)))))>
#<alt (+ (log (/ 1 x)) (+ (* -1 (/ (fabs x) x)) (+ (* 1/6 (/ (+ (* -6 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (+ (* -6 (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x)))) (* -2 (pow (fabs x) 3)))) (pow x 3))) (* 1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) (pow x 2))))))>
#<alt (log (/ -1 x))>
#<alt (+ (log (/ -1 x)) (/ (fabs x) x))>
#<alt (+ (log (/ -1 x)) (* -1 (/ (+ (* -1 (fabs x)) (* -1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) x))) x)))>
#<alt (+ (log (/ -1 x)) (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (+ (* -6 (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x)))) (* -2 (pow (fabs x) 3)))) x)) (* 1/2 (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))))) x))) x)))>
#<alt (/ 1 (+ 1 (fabs x)))>
#<alt (+ (* -1/2 (/ (pow x 2) (pow (+ 1 (fabs x)) 2))) (/ 1 (+ 1 (fabs x))))>
#<alt (+ (* (pow x 2) (- (* (pow x 2) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (fabs x)) 2))))) (/ 1 (+ 1 (fabs x))))>
#<alt (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1 (* (pow x 2) (+ (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))) (+ 1 (fabs x)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (fabs x)) 2))))) (/ 1 (+ 1 (fabs x))))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* -1 (/ (fabs x) x))) x)>
#<alt (/ (- (+ 1 (* -1 (/ (+ 1/2 (* -1 (pow (fabs x) 2))) (pow x 2)))) (/ (fabs x) x)) x)>
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x))) (pow x 3)))) (+ (* -1 (/ (pow (fabs x) 2) (pow x 2))) (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))) x)>
#<alt (/ -1 x)>
#<alt (* -1 (/ (+ 1 (/ (fabs x) x)) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (fabs x) 2) x)) (* 1/2 (/ 1 x))) (fabs x)) x))) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2)))) x)) (* -1/2 (/ (fabs x) x))) (+ 1/2 (* -1 (pow (fabs x) 2)))) x)) (fabs x)) x))) x))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* -1/8 (pow x 2))>
#<alt (* -1/8 (pow x 2))>
#<alt (* -1/8 (pow x 2))>
#<alt (* -1/8 (pow x 2))>
#<alt (* -1/8 (pow x 2))>
#<alt (* -1/8 (pow x 2))>
#<alt (* -1/8 (pow x 2))>
#<alt (* -1/8 (pow x 2))>
#<alt (* -1/8 (pow x 2))>
#<alt (* -1/8 (pow x 2))>
#<alt (* -1/8 (pow x 2))>
#<alt (* -1/8 (pow x 2))>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))>
#<alt (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))>
#<alt (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))>
#<alt x>
#<alt (* x (+ 1 (/ (fabs x) x)))>
#<alt (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))>
#<alt (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))>
Calls

60 calls:

TimeVariablePointExpression
47.0ms
x
@inf
(log (+ 1 (fabs x)))
44.0ms
x
@0
(log x)
27.0ms
x
@0
(log (+ 1 (fabs x)))
19.0ms
x
@inf
(neg (log (/ 1 (+ (fabs x) (sqrt (+ (* 1 1) (* x x)))))))
18.0ms
x
@-inf
(log (+ 1 (fabs x)))

rewrite438.0ms (5.2%)

Algorithm
1×batch-egg-rewrite
Rules
3044×*-lowering-*.f32
3044×*-lowering-*.f64
2482×/-lowering-/.f32
2482×/-lowering-/.f64
2224×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
030128
1156121
21450119
08865119
Stop Event
1×iter limit
1×node limit
Counts
20 → 473
Calls
Call 1
Inputs
(copysign (log (+ 1 (fabs x))) x)
(log (+ 1 (fabs x)))
(fabs x)
(copysign (log x) x)
(log x)
(copysign (log (+ (fabs x) (neg x))) x)
(log (+ (fabs x) (neg x)))
(+ (fabs x) (neg x))
(copysign (log (+ (+ (fabs x) 1) (* (* x x) (+ 1/2 (* (* x x) -1/8))))) x)
(log (+ (+ (fabs x) 1) (* (* x x) (+ 1/2 (* (* x x) -1/8)))))
(+ (+ (fabs x) 1) (* (* x x) (+ 1/2 (* (* x x) -1/8))))
(+ (fabs x) 1)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ (* 1 1) (* x x))))))) x)
(neg (log (/ 1 (+ (fabs x) (sqrt (+ (* 1 1) (* x x)))))))
(log (/ 1 (+ (fabs x) (sqrt (+ (* 1 1) (* x x))))))
(/ 1 (+ (fabs x) (sqrt (+ (* 1 1) (* x x)))))
(neg x)
(* x x)
(* (* x x) -1/8)
(+ (fabs x) (sqrt (+ (* 1 1) (* x x))))
Outputs
(copysign.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))))) x)
(log1p.f32 (fabs.f32 x))
(neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))))))
(neg.f32 (log.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (-.f32 (*.f32 x x) (*.f32 x (*.f32 x x))))))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(neg.f32 (log.f32 (/.f32 (/.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))))) (+.f32 (*.f32 x x) #s(literal -1 binary32)))))
(+.f32 (log1p.f32 (*.f32 x (*.f32 x x))) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))))))
(+.f32 (log1p.f32 (*.f32 (neg.f32 x) x)) (log.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (-.f32 (*.f32 x x) (*.f32 x (*.f32 x x))))))))))
(+.f32 (log.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32))) (log.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))))))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (-.f32 (*.f32 x x) (*.f32 x (*.f32 x x))))))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (/.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))))) (+.f32 (*.f32 x x) #s(literal -1 binary32)))))
(-.f32 (log1p.f32 (*.f32 x (*.f32 x x))) (log1p.f32 (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))))
(-.f32 (log1p.f32 (*.f32 (neg.f32 x) x)) (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (-.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))))))
(-.f32 (log.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32))) (log.f32 (/.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x))))))))))
(-.f32 (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (log.f32 (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (-.f32 (*.f32 x x) (*.f32 x (*.f32 x x))))))))))
(-.f32 (log.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))))) (log.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))))))
(-.f32 (log.f32 (neg.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)))) (log.f32 (neg.f32 (/.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))))))))
(log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x))))))))
(fabs.f32 x)
(fabs.f32 (neg.f32 x))
(fabs.f32 (neg.f32 (neg.f32 x)))
(fabs.f32 (-.f32 x #s(literal 0 binary32)))
(fabs.f32 (neg.f32 (neg.f32 (neg.f32 x))))
(fabs.f32 (neg.f32 (-.f32 x #s(literal 0 binary32))))
(/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (+.f32 #s(literal 0 binary32) (+.f32 (*.f32 x x) (*.f32 #s(literal 0 binary32) x)))))
(/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x))) (fabs.f32 (+.f32 #s(literal 0 binary32) x)))
(*.f32 #s(literal 1 binary32) (fabs.f32 x))
(*.f32 (fabs.f32 x) #s(literal 1 binary32))
(copysign.f32 (log.f32 x) x)
(log.f32 x)
(copysign.f32 (log.f32 (-.f32 (fabs.f32 x) x)) x)
(neg.f32 (log.f32 (/.f32 (+.f32 (*.f32 x x) (*.f32 (neg.f32 x) (-.f32 (neg.f32 x) (fabs.f32 x)))) (+.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))))))
(neg.f32 (log.f32 (/.f32 (+.f32 (fabs.f32 x) (*.f32 #s(literal 1 binary32) x)) (-.f32 (*.f32 x x) (*.f32 x x)))))
(+.f32 (log.f32 (+.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)))) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x x) (*.f32 (neg.f32 x) (-.f32 (neg.f32 x) (fabs.f32 x)))))))
(+.f32 (log.f32 (-.f32 (*.f32 x x) (*.f32 x x))) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (*.f32 #s(literal 1 binary32) x)))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (+.f32 (*.f32 x x) (*.f32 (neg.f32 x) (-.f32 (neg.f32 x) (fabs.f32 x)))) (+.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (+.f32 (fabs.f32 x) (*.f32 #s(literal 1 binary32) x)) (-.f32 (*.f32 x x) (*.f32 x x)))))
(-.f32 (log.f32 (+.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)))) (log.f32 (+.f32 (*.f32 x x) (*.f32 (neg.f32 x) (-.f32 (neg.f32 x) (fabs.f32 x))))))
(-.f32 (log.f32 (+.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)))) (log.f32 (+.f32 (*.f32 x x) (+.f32 (*.f32 x x) (*.f32 (fabs.f32 x) x)))))
(-.f32 (log.f32 (-.f32 (*.f32 x x) (*.f32 x x))) (log.f32 (+.f32 (fabs.f32 x) (*.f32 #s(literal 1 binary32) x))))
(-.f32 (log.f32 (-.f32 (*.f32 x x) (*.f32 x x))) (log.f32 (-.f32 (neg.f32 x) (fabs.f32 x))))
(-.f32 (log.f32 (-.f32 (*.f32 x x) (*.f32 x x))) (log.f32 (+.f32 (fabs.f32 x) x)))
(-.f32 (log.f32 (neg.f32 (+.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))))) (log.f32 (neg.f32 (+.f32 (*.f32 x x) (*.f32 (neg.f32 x) (-.f32 (neg.f32 x) (fabs.f32 x)))))))
(-.f32 (log.f32 (neg.f32 (-.f32 (*.f32 x x) (*.f32 x x)))) (log.f32 (neg.f32 (+.f32 (fabs.f32 x) (*.f32 #s(literal 1 binary32) x)))))
(log.f32 (-.f32 (fabs.f32 x) x))
(+.f32 (fabs.f32 x) (neg.f32 x))
(+.f32 (neg.f32 x) (fabs.f32 x))
(pow.f32 (/.f32 (+.f32 (*.f32 x x) (*.f32 (neg.f32 x) (-.f32 (neg.f32 x) (fabs.f32 x)))) (+.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 (fabs.f32 x) (*.f32 #s(literal 1 binary32) x)) (-.f32 (*.f32 x x) (*.f32 x x))) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (fabs.f32 x) (neg.f32 x))
(fma.f32 x #s(literal -1 binary32) (fabs.f32 x))
(fma.f32 (fabs.f32 x) #s(literal 1 binary32) (neg.f32 x))
(fma.f32 #s(literal -1 binary32) x (fabs.f32 x))
(-.f32 (fabs.f32 x) x)
(-.f32 #s(literal 0 binary32) (-.f32 x (fabs.f32 x)))
(-.f32 (/.f32 (*.f32 x x) (+.f32 (fabs.f32 x) (*.f32 #s(literal 1 binary32) x))) (/.f32 (*.f32 x x) (+.f32 (fabs.f32 x) (*.f32 #s(literal 1 binary32) x))))
(-.f32 (+.f32 (fabs.f32 x) #s(literal 0 binary32)) x)
(-.f32 (/.f32 (*.f32 x x) (-.f32 (neg.f32 x) (fabs.f32 x))) (/.f32 (*.f32 x x) (-.f32 (neg.f32 x) (fabs.f32 x))))
(-.f32 (/.f32 (*.f32 x x) (+.f32 (fabs.f32 x) x)) (/.f32 (*.f32 x x) (+.f32 (fabs.f32 x) x)))
(-.f32 (/.f32 (*.f32 x (*.f32 x x)) (+.f32 (*.f32 x x) (+.f32 (*.f32 x x) (*.f32 (fabs.f32 x) x)))) (/.f32 (*.f32 x (*.f32 x x)) (+.f32 (*.f32 x x) (+.f32 (*.f32 x x) (*.f32 (fabs.f32 x) x)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 x x) (*.f32 (neg.f32 x) (-.f32 (neg.f32 x) (fabs.f32 x)))) (+.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (fabs.f32 x) (*.f32 #s(literal 1 binary32) x)) (-.f32 (*.f32 x x) (*.f32 x x))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (+.f32 (*.f32 x x) (*.f32 (neg.f32 x) (-.f32 (neg.f32 x) (fabs.f32 x)))) (+.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (+.f32 (fabs.f32 x) (*.f32 #s(literal 1 binary32) x)) (-.f32 (*.f32 x x) (*.f32 x x)))))
(/.f32 (-.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (fabs.f32 x) (*.f32 #s(literal 1 binary32) x)))
(/.f32 (-.f32 (*.f32 x x) (*.f32 x x)) (-.f32 (neg.f32 x) (fabs.f32 x)))
(/.f32 (-.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (fabs.f32 x) x))
(/.f32 (neg.f32 (+.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)))) (neg.f32 (+.f32 (*.f32 x x) (*.f32 (neg.f32 x) (-.f32 (neg.f32 x) (fabs.f32 x))))))
(/.f32 (neg.f32 (+.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)))) (neg.f32 (+.f32 (*.f32 x x) (+.f32 (*.f32 x x) (*.f32 (fabs.f32 x) x)))))
(/.f32 (neg.f32 (-.f32 (*.f32 x x) (*.f32 x x))) (neg.f32 (+.f32 (fabs.f32 x) (*.f32 #s(literal 1 binary32) x))))
(/.f32 (neg.f32 (-.f32 (*.f32 x x) (*.f32 x x))) (neg.f32 (-.f32 (neg.f32 x) (fabs.f32 x))))
(/.f32 (neg.f32 (-.f32 (*.f32 x x) (*.f32 x x))) (neg.f32 (+.f32 (fabs.f32 x) x)))
(/.f32 (+.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x x) (*.f32 (neg.f32 x) (-.f32 (neg.f32 x) (fabs.f32 x)))))
(/.f32 (+.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x x) (+.f32 (*.f32 x x) (*.f32 (fabs.f32 x) x))))
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(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 3/2 binary32)) (*.f32 x (*.f32 x x)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x x) (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))))))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))))
(*.f32 (/.f32 (+.f32 (*.f32 x x) (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)))) #s(literal 1 binary32)) (/.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)) (+.f32 (*.f32 x x) (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))))))

simplify287.0ms (3.4%)

Algorithm
1×egg-herbie
Rules
3708×*-lowering-*.f32
3708×*-lowering-*.f64
2264×+-lowering-+.f64
2264×+-lowering-+.f32
1948×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04032890
113332470
248062426
081582426
Stop Event
1×iter limit
1×node limit
Counts
240 → 240
Calls
Call 1
Inputs
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(copysign (log x) x)
(copysign (log x) x)
(copysign (log x) x)
(copysign (log x) x)
(copysign (log x) x)
(copysign (log x) x)
(copysign (log x) x)
(copysign (log x) x)
(copysign (log x) x)
(copysign (log x) x)
(copysign (log x) x)
(copysign (log x) x)
(log x)
(log x)
(log x)
(log x)
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(copysign (log (- (fabs x) x)) x)
(copysign (log (- (fabs x) x)) x)
(copysign (log (- (fabs x) x)) x)
(copysign (log (- (fabs x) x)) x)
(copysign (log (- (fabs x) x)) x)
(copysign (log (- (fabs x) x)) x)
(copysign (log (- (fabs x) x)) x)
(copysign (log (- (fabs x) x)) x)
(copysign (log (+ (fabs x) (* -1 x))) x)
(copysign (log (+ (fabs x) (* -1 x))) x)
(copysign (log (+ (fabs x) (* -1 x))) x)
(copysign (log (+ (fabs x) (* -1 x))) x)
(log (fabs x))
(+ (log (fabs x)) (* -1 (/ x (fabs x))))
(+ (log (fabs x)) (* x (- (* -1/2 (/ x (pow (fabs x) 2))) (/ 1 (fabs x)))))
(+ (log (fabs x)) (* x (- (* x (- (* -1/3 (/ x (pow (fabs x) 3))) (* 1/2 (/ 1 (pow (fabs x) 2))))) (/ 1 (fabs x)))))
(+ (log -1) (* -1 (log (/ 1 x))))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (fabs x) x))))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (* -1/2 (/ (pow (fabs x) 2) (pow x 2))))))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (+ (* -1/2 (/ (pow (fabs x) 2) (pow x 2))) (* -1/3 (/ (pow (fabs x) 3) (pow x 3)))))))
(* -1 (log (/ -1 x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* 1/2 (/ (pow (fabs x) 2) x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/2 (pow (fabs x) 2)) (* -1/3 (/ (pow (fabs x) 3) x))) x))) x)))
(fabs x)
(+ (fabs x) (* -1 x))
(+ (fabs x) (* -1 x))
(+ (fabs x) (* -1 x))
(* -1 x)
(* x (- (/ (fabs x) x) 1))
(* x (- (/ (fabs x) x) 1))
(* x (- (/ (fabs x) x) 1))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))) x)
(copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))) x)
(copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))) x)
(copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))) x)
(copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)
(copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)
(copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)
(copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)
(copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)
(copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)
(copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)
(copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3)))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log -1/8) (* -4 (log (/ 1 x))))
(- (+ (log -1/8) (* -4 (log (/ 1 x)))) (* 4 (/ 1 (pow x 2))))
(- (+ (log -1/8) (+ (* -4 (log (/ 1 x))) (* 1/24 (/ (- (* -192 (+ 1 (fabs x))) 192) (pow x 4))))) (* 4 (/ 1 (pow x 2))))
(- (+ (log -1/8) (+ (* -4 (log (/ 1 x))) (+ (* 1/720 (/ (- (* -23040 (+ 1 (fabs x))) 15360) (pow x 6))) (* 1/24 (/ (- (* -192 (+ 1 (fabs x))) 192) (pow x 4)))))) (* 4 (/ 1 (pow x 2))))
(+ (log -1/8) (* -4 (log (/ -1 x))))
(- (+ (log -1/8) (* -4 (log (/ -1 x)))) (* 4 (/ 1 (pow x 2))))
(- (+ (log -1/8) (+ (* -4 (log (/ -1 x))) (* 1/24 (/ (- (* -192 (+ 1 (fabs x))) 192) (pow x 4))))) (* 4 (/ 1 (pow x 2))))
(- (+ (log -1/8) (+ (* -4 (log (/ -1 x))) (+ (* 1/720 (/ (- (* -23040 (+ 1 (fabs x))) 15360) (pow x 6))) (* 1/24 (/ (- (* -192 (+ 1 (fabs x))) 192) (pow x 4)))))) (* 4 (/ 1 (pow x 2))))
(+ 1 (fabs x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(* -1/8 (pow x 4))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
(* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (/ (fabs x) (pow x 4)))) 1/8))
(* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (/ (fabs x) (pow x 4)))) 1/8))
(* -1/8 (pow x 4))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
(* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (/ (fabs x) (pow x 4)))) 1/8))
(* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (/ (fabs x) (pow x 4)))) 1/8))
(+ 1 (fabs x))
(+ 1 (fabs x))
(+ 1 (fabs x))
(+ 1 (fabs x))
(+ 1 (fabs x))
(+ 1 (fabs x))
(+ 1 (fabs x))
(+ 1 (fabs x))
(+ 1 (fabs x))
(+ 1 (fabs x))
(+ 1 (fabs x))
(+ 1 (fabs x))
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(* -1 (log (/ 1 (+ 1 (fabs x)))))
(- (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) (log (/ 1 (+ 1 (fabs x)))))
(- (* (pow x 2) (+ (* -1/24 (* (pow x 2) (- (* 24 (* (+ 1 (fabs x)) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))) (log (/ 1 (+ 1 (fabs x)))))
(- (* (pow x 2) (+ (* (pow x 2) (- (* -1/720 (* (pow x 2) (- (+ (* -720 (* (+ 1 (fabs x)) (+ (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 3))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))) (+ 1 (fabs x)))) (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 2))))))) (* 360 (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 1/24 (- (* 24 (* (+ 1 (fabs x)) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))) (log (/ 1 (+ 1 (fabs x)))))
(* -1 (log (/ 1 x)))
(- (/ (fabs x) x) (log (/ 1 x)))
(- (* -1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) (pow x 2))) (+ (log (/ 1 x)) (* -1 (/ (fabs x) x))))
(- (* -1/6 (/ (+ (* -6 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (+ (* -6 (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x)))) (* -2 (pow (fabs x) 3)))) (pow x 3))) (+ (log (/ 1 x)) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) (pow x 2))))))
(* -1 (log (/ -1 x)))
(- (* -1 (/ (fabs x) x)) (log (/ -1 x)))
(- (* -1 (/ (- (* 1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) x)) (* -1 (fabs x))) x)) (log (/ -1 x)))
(- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -6 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (+ (* -6 (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x)))) (* -2 (pow (fabs x) 3)))) x)) (* 1/2 (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))))) x)) (* -1 (fabs x))) x)) (log (/ -1 x)))
(log (/ 1 (+ 1 (fabs x))))
(+ (log (/ 1 (+ 1 (fabs x)))) (* -1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (/ 1 (+ 1 (fabs x)))) (* (pow x 2) (- (* 1/24 (* (pow x 2) (- (* 24 (* (+ 1 (fabs x)) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (/ 1 (+ 1 (fabs x)))) (* (pow x 2) (- (* (pow x 2) (+ (* 1/720 (* (pow x 2) (- (+ (* -720 (* (+ 1 (fabs x)) (+ (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 2))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))) (+ 1 (fabs x)))) (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 3))))))) (* 360 (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 1/24 (- (* 24 (* (+ 1 (fabs x)) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(log (/ 1 x))
(+ (log (/ 1 x)) (* -1 (/ (fabs x) x)))
(+ (log (/ 1 x)) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) (pow x 2)))))
(+ (log (/ 1 x)) (+ (* -1 (/ (fabs x) x)) (+ (* 1/6 (/ (+ (* -6 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (+ (* -6 (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x)))) (* -2 (pow (fabs x) 3)))) (pow x 3))) (* 1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) (pow x 2))))))
(log (/ -1 x))
(+ (log (/ -1 x)) (/ (fabs x) x))
(+ (log (/ -1 x)) (* -1 (/ (+ (* -1 (fabs x)) (* -1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) x))) x)))
(+ (log (/ -1 x)) (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (+ (* -6 (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x)))) (* -2 (pow (fabs x) 3)))) x)) (* 1/2 (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))))) x))) x)))
(/ 1 (+ 1 (fabs x)))
(+ (* -1/2 (/ (pow x 2) (pow (+ 1 (fabs x)) 2))) (/ 1 (+ 1 (fabs x))))
(+ (* (pow x 2) (- (* (pow x 2) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (fabs x)) 2))))) (/ 1 (+ 1 (fabs x))))
(+ (* (pow x 2) (- (* (pow x 2) (+ (* -1 (* (pow x 2) (+ (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))) (+ 1 (fabs x)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (fabs x)) 2))))) (/ 1 (+ 1 (fabs x))))
(/ 1 x)
(/ (+ 1 (* -1 (/ (fabs x) x))) x)
(/ (- (+ 1 (* -1 (/ (+ 1/2 (* -1 (pow (fabs x) 2))) (pow x 2)))) (/ (fabs x) x)) x)
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x))) (pow x 3)))) (+ (* -1 (/ (pow (fabs x) 2) (pow x 2))) (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))) x)
(/ -1 x)
(* -1 (/ (+ 1 (/ (fabs x) x)) x))
(* -1 (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (fabs x) 2) x)) (* 1/2 (/ 1 x))) (fabs x)) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2)))) x)) (* -1/2 (/ (fabs x) x))) (+ 1/2 (* -1 (pow (fabs x) 2)))) x)) (fabs x)) x))) x))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1/8 (pow x 2))
(* -1/8 (pow x 2))
(* -1/8 (pow x 2))
(* -1/8 (pow x 2))
(* -1/8 (pow x 2))
(* -1/8 (pow x 2))
(* -1/8 (pow x 2))
(* -1/8 (pow x 2))
(* -1/8 (pow x 2))
(* -1/8 (pow x 2))
(* -1/8 (pow x 2))
(* -1/8 (pow x 2))
(+ 1 (fabs x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
x
(* x (+ 1 (/ (fabs x) x)))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
Outputs
(copysign (log (+ 1 (fabs x))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(copysign (log x) x)
(copysign.f32 (log.f32 x) x)
(copysign (log x) x)
(copysign.f32 (log.f32 x) x)
(copysign (log x) x)
(copysign.f32 (log.f32 x) x)
(copysign (log x) x)
(copysign.f32 (log.f32 x) x)
(copysign (log x) x)
(copysign.f32 (log.f32 x) x)
(copysign (log x) x)
(copysign.f32 (log.f32 x) x)
(copysign (log x) x)
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(copysign (log x) x)
(copysign.f32 (log.f32 x) x)
(copysign (log x) x)
(copysign.f32 (log.f32 x) x)
(copysign (log x) x)
(copysign.f32 (log.f32 x) x)
(copysign (log x) x)
(copysign.f32 (log.f32 x) x)
(copysign (log x) x)
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(log x)
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(log x)
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(log.f32 x)
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(* -1 (log (/ 1 x)))
(log.f32 x)
(* -1 (log (/ 1 x)))
(log.f32 x)
(* -1 (log (/ 1 x)))
(log.f32 x)
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(+ (log -1) (* -1 (log (/ -1 x))))
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(+ (log -1) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(copysign (log (- (fabs x) x)) x)
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(copysign (log (- (fabs x) x)) x)
(copysign.f32 (log.f32 (-.f32 (fabs.f32 x) x)) x)
(copysign (log (- (fabs x) x)) x)
(copysign.f32 (log.f32 (-.f32 (fabs.f32 x) x)) x)
(copysign (log (- (fabs x) x)) x)
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(copysign (log (- (fabs x) x)) x)
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(copysign (log (- (fabs x) x)) x)
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(copysign (log (- (fabs x) x)) x)
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(copysign (log (- (fabs x) x)) x)
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(copysign (log (+ (fabs x) (* -1 x))) x)
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(copysign (log (+ (fabs x) (* -1 x))) x)
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(copysign (log (+ (fabs x) (* -1 x))) x)
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(copysign (log (+ (fabs x) (* -1 x))) x)
(copysign.f32 (log.f32 (-.f32 (fabs.f32 x) x)) x)
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(* -1 (log (/ -1 x)))
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(fabs x)
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(* x (- (/ (fabs x) x) 1))
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(* -1 x)
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(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(-.f32 #s(literal 0 binary32) (*.f32 x (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) x))))
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(copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)
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(copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)
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(copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)
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(copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)
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(copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)
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(log (+ 1 (fabs x)))
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(* -1/8 (pow x 4))
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(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
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(* -1/8 (pow x 4))
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(/ (- (+ 1 (* -1 (/ (+ 1/2 (* -1 (pow (fabs x) 2))) (pow x 2)))) (/ (fabs x) x)) x)
(/.f32 (-.f32 #s(literal 1 binary32) (+.f32 (/.f32 (fabs.f32 x) x) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 x x)))) x)
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x))) (pow x 3)))) (+ (* -1 (/ (pow (fabs x) 2) (pow x 2))) (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))) x)
(/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (fabs.f32 x) #s(literal -1/2 binary32)) (*.f32 (fabs.f32 x) (-.f32 #s(literal 1/2 binary32) (*.f32 x x)))) (*.f32 x (*.f32 x x)))) (+.f32 (/.f32 (fabs.f32 x) x) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 x x)))) x)
(/ -1 x)
(/.f32 #s(literal -1 binary32) x)
(* -1 (/ (+ 1 (/ (fabs x) x)) x))
(/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (fabs.f32 x) x)) x)
(* -1 (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (fabs x) 2) x)) (* 1/2 (/ 1 x))) (fabs x)) x))) x))
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 x x)) x) (fabs.f32 x)) x)) (neg.f32 x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2)))) x)) (* -1/2 (/ (fabs x) x))) (+ 1/2 (* -1 (pow (fabs x) 2)))) x)) (fabs x)) x))) x))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 (-.f32 (*.f32 (fabs.f32 x) #s(literal -1/2 binary32)) (*.f32 (fabs.f32 x) (-.f32 #s(literal 1/2 binary32) (*.f32 x x)))) x) (-.f32 #s(literal 1/2 binary32) (*.f32 x x))) x) (fabs.f32 x)) x))) (neg.f32 x))
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(* -1/8 (pow x 2))
(*.f32 (*.f32 x x) #s(literal -1/8 binary32))
(* -1/8 (pow x 2))
(*.f32 (*.f32 x x) #s(literal -1/8 binary32))
(* -1/8 (pow x 2))
(*.f32 (*.f32 x x) #s(literal -1/8 binary32))
(* -1/8 (pow x 2))
(*.f32 (*.f32 x x) #s(literal -1/8 binary32))
(* -1/8 (pow x 2))
(*.f32 (*.f32 x x) #s(literal -1/8 binary32))
(* -1/8 (pow x 2))
(*.f32 (*.f32 x x) #s(literal -1/8 binary32))
(* -1/8 (pow x 2))
(*.f32 (*.f32 x x) #s(literal -1/8 binary32))
(* -1/8 (pow x 2))
(*.f32 (*.f32 x x) #s(literal -1/8 binary32))
(* -1/8 (pow x 2))
(*.f32 (*.f32 x x) #s(literal -1/8 binary32))
(* -1/8 (pow x 2))
(*.f32 (*.f32 x x) #s(literal -1/8 binary32))
(* -1/8 (pow x 2))
(*.f32 (*.f32 x x) #s(literal -1/8 binary32))
(* -1/8 (pow x 2))
(*.f32 (*.f32 x x) #s(literal -1/8 binary32))
(+ 1 (fabs x))
(+.f32 #s(literal 1 binary32) (fabs.f32 x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (*.f32 x (*.f32 x #s(literal 1/2 binary32))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(+.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
(+.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32)))))))
x
(* x (+ 1 (/ (fabs x) x)))
(*.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) x)))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(*.f32 x (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (fabs.f32 x) x) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))))
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(*.f32 x (+.f32 (+.f32 (/.f32 (fabs.f32 x) x) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))))))
(* -1 x)
(neg.f32 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(-.f32 #s(literal 0 binary32) (*.f32 x (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) x))))
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(*.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x)))
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(*.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)) x)))

eval93.0ms (1.1%)

Compiler

Compiled 42945 to 3137 computations (92.7% saved)

prune119.0ms (1.4%)

Pruning

30 alts after pruning (27 fresh and 3 done)

PrunedKeptTotal
New81712829
Fresh21517
Picked325
Done112
Total82330853
Accuracy
100.0%
Counts
853 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶69.2%
(copysign.f32 (+.f32 (log1p.f32 (+.f32 (*.f32 x x) (-.f32 (*.f32 x x) (*.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))))) (log.f32 (/.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)) (+.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)) (-.f32 (*.f32 x x) (*.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))))))) x)
55.1%
(copysign.f32 (+.f32 (log1p.f32 (fabs.f32 x)) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (*.f32 x (*.f32 x (+.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32)))) (*.f32 (+.f32 (/.f32 #s(literal 45 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (+.f32 (/.f32 #s(literal 45 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal 30 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 3 binary32))))) (*.f32 (*.f32 x x) #s(literal 1/720 binary32))))))))) x)
55.2%
(copysign.f32 (+.f32 (log1p.f32 (fabs.f32 x)) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))))) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))))) x)
8.1%
(copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (-.f32 (*.f32 x x) (*.f32 x (*.f32 x x))))))) (-.f32 #s(literal 1 binary32) (*.f32 x x))))) x)
8.2%
(copysign.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))))) x)
14.1%
(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))))) x)
19.1%
(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (*.f32 x (*.f32 x #s(literal 1/2 binary32))))))) x)
14.4%
(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))) x)
51.4%
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))) x)
✓69.9%
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
8.2%
(copysign.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))))) x)
15.3%
(copysign.f32 (log.f32 (-.f32 (/.f32 (*.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x) x) x)) x)
▶16.0%
(copysign.f32 (log.f32 (-.f32 (/.f32 (*.f32 x (fabs.f32 x)) x) x)) x)
30.9%
(copysign.f32 (log.f32 (-.f32 (fabs.f32 x) x)) x)
8.1%
(copysign.f32 (log.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (-.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))))) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))) x)
8.0%
(copysign.f32 (log.f32 (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x))))))) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))) x)
8.0%
(copysign.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))))) (+.f32 (*.f32 x x) #s(literal -1 binary32)))) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))) x)
8.1%
(copysign.f32 (log.f32 (+.f32 (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x))))))) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) (*.f32 x (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))) x)
16.1%
(copysign.f32 (log.f32 (+.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32)))))))) x)
▶8.1%
(copysign.f32 (log.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))))) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))) x)
24.3%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (pow.f32 (*.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)) (+.f32 (*.f32 x x) #s(literal 1 binary32))) #s(literal 1/4 binary32)))) x)
✓60.1%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
19.1%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))))) x)
25.6%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (*.f32 x (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))))) x)
24.9%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (*.f32 x (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))))) x)
26.7%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) x)) x)
▶29.0%
(copysign.f32 (log.f32 (*.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)) x)))) x)
24.9%
(copysign.f32 (log.f32 (*.f32 x (+.f32 (/.f32 (fabs.f32 x) x) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))))) x)
▶14.4%
(copysign.f32 (log.f32 (neg.f32 x)) x)
✓12.2%
(copysign.f32 (log.f32 x) x)
Compiler

Compiled 1827 to 824 computations (54.9% saved)

simplify178.0ms (2.1%)

Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(neg.f32 x)
✓cost-diff160
(*.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)) x)))
✓cost-diff160
(log.f32 (*.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)) x))))
✓cost-diff160
(copysign.f32 (log.f32 (*.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)) x)))) x)
✓cost-diff128
(/.f32 (*.f32 x (fabs.f32 x)) x)
✓cost-diff128
(-.f32 (/.f32 (*.f32 x (fabs.f32 x)) x) x)
✓cost-diff128
(log.f32 (-.f32 (/.f32 (*.f32 x (fabs.f32 x)) x) x))
✓cost-diff128
(copysign.f32 (log.f32 (-.f32 (/.f32 (*.f32 x (fabs.f32 x)) x) x)) x)
✓cost-diff640
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x))))))))
✓cost-diff640
(+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))))) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))
✓cost-diff640
(log.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))))) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32))))))
✓cost-diff640
(copysign.f32 (log.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))))) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))) x)
✓cost-diff0
(neg.f32 x)
✓cost-diff0
(log.f32 (neg.f32 x))
✓cost-diff0
(copysign.f32 (log.f32 (neg.f32 x)) x)
✓cost-diff64
(+.f32 (*.f32 x x) (-.f32 (*.f32 x x) (*.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))))
✓cost-diff64
(log1p.f32 (+.f32 (*.f32 x x) (-.f32 (*.f32 x x) (*.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)))))
✓cost-diff128
(+.f32 (log1p.f32 (+.f32 (*.f32 x x) (-.f32 (*.f32 x x) (*.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))))) (log.f32 (/.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)) (+.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)) (-.f32 (*.f32 x x) (*.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)))))))
✓cost-diff128
(copysign.f32 (+.f32 (log1p.f32 (+.f32 (*.f32 x x) (-.f32 (*.f32 x x) (*.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))))) (log.f32 (/.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)) (+.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)) (-.f32 (*.f32 x x) (*.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))))))) x)
Rules
2096×*-lowering-*.f32
2096×*-lowering-*.f64
1660×+-lowering-+.f64
1660×+-lowering-+.f32
1136×fma-lowering-fma.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
055664
1154594
2415565
31233521
43750512
08219512
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(copysign (+ (log (+ 1 (+ (* x x) (- (* x x) (* (fabs x) (sqrt (+ (* 1 1) (* x x)))))))) (log (/ (+ (fabs x) (sqrt (+ (* 1 1) (* x x)))) (+ (+ (* x x) 1) (- (* x x) (* (fabs x) (sqrt (+ (* 1 1) (* x x))))))))) x)
(+ (log (+ 1 (+ (* x x) (- (* x x) (* (fabs x) (sqrt (+ (* 1 1) (* x x)))))))) (log (/ (+ (fabs x) (sqrt (+ (* 1 1) (* x x)))) (+ (+ (* x x) 1) (- (* x x) (* (fabs x) (sqrt (+ (* 1 1) (* x x)))))))))
(log (+ 1 (+ (* x x) (- (* x x) (* (fabs x) (sqrt (+ (* 1 1) (* x x))))))))
(+ (* x x) (- (* x x) (* (fabs x) (sqrt (+ (* 1 1) (* x x))))))
(* x x)
x
(- (* x x) (* (fabs x) (sqrt (+ (* 1 1) (* x x)))))
(* (fabs x) (sqrt (+ (* 1 1) (* x x))))
(fabs x)
(sqrt (+ (* 1 1) (* x x)))
1
(log (/ (+ (fabs x) (sqrt (+ (* 1 1) (* x x)))) (+ (+ (* x x) 1) (- (* x x) (* (fabs x) (sqrt (+ (* 1 1) (* x x))))))))
(/ (+ (fabs x) (sqrt (+ (* 1 1) (* x x)))) (+ (+ (* x x) 1) (- (* x x) (* (fabs x) (sqrt (+ (* 1 1) (* x x)))))))
(+ (fabs x) (sqrt (+ (* 1 1) (* x x))))
(+ (+ (* x x) 1) (- (* x x) (* (fabs x) (sqrt (+ (* 1 1) (* x x))))))
(+ (* x x) 1)
(copysign (log (neg x)) x)
(log (neg x))
(neg x)
x
(copysign (log (+ (* (+ 1 (* x (* x x))) (/ 1 (+ 1 (/ (- (* (* x x) (* x (* x (* x x)))) (* x (* x x))) (+ (* x (* x (* x x))) (+ (* x x) (* x (* x x)))))))) (* (* x x) (+ 1/2 (* (* x x) -1/8))))) x)
(log (+ (* (+ 1 (* x (* x x))) (/ 1 (+ 1 (/ (- (* (* x x) (* x (* x (* x x)))) (* x (* x x))) (+ (* x (* x (* x x))) (+ (* x x) (* x (* x x)))))))) (* (* x x) (+ 1/2 (* (* x x) -1/8)))))
(+ (* (+ 1 (* x (* x x))) (/ 1 (+ 1 (/ (- (* (* x x) (* x (* x (* x x)))) (* x (* x x))) (+ (* x (* x (* x x))) (+ (* x x) (* x (* x x)))))))) (* (* x x) (+ 1/2 (* (* x x) -1/8))))
(* (+ 1 (* x (* x x))) (/ 1 (+ 1 (/ (- (* (* x x) (* x (* x (* x x)))) (* x (* x x))) (+ (* x (* x (* x x))) (+ (* x x) (* x (* x x))))))))
(+ 1 (* x (* x x)))
1
(* x (* x x))
x
(* x x)
(/ 1 (+ 1 (/ (- (* (* x x) (* x (* x (* x x)))) (* x (* x x))) (+ (* x (* x (* x x))) (+ (* x x) (* x (* x x)))))))
(+ 1 (/ (- (* (* x x) (* x (* x (* x x)))) (* x (* x x))) (+ (* x (* x (* x x))) (+ (* x x) (* x (* x x))))))
(/ (- (* (* x x) (* x (* x (* x x)))) (* x (* x x))) (+ (* x (* x (* x x))) (+ (* x x) (* x (* x x)))))
(- (* (* x x) (* x (* x (* x x)))) (* x (* x x)))
(* (* x x) (* x (* x (* x x))))
(* x (* x (* x x)))
(+ (* x (* x (* x x))) (+ (* x x) (* x (* x x))))
(+ (* x x) (* x (* x x)))
(* (* x x) (+ 1/2 (* (* x x) -1/8)))
(+ 1/2 (* (* x x) -1/8))
1/2
(* (* x x) -1/8)
-1/8
(copysign (log (- (/ (* x (fabs x)) x) x)) x)
(log (- (/ (* x (fabs x)) x) x))
(- (/ (* x (fabs x)) x) x)
(/ (* x (fabs x)) x)
(* x (fabs x))
x
(fabs x)
(copysign (log (* (neg x) (- 1 (/ (- (fabs x) (/ (+ 1/2 (/ -1/8 (* x x))) x)) x)))) x)
(log (* (neg x) (- 1 (/ (- (fabs x) (/ (+ 1/2 (/ -1/8 (* x x))) x)) x))))
(* (neg x) (- 1 (/ (- (fabs x) (/ (+ 1/2 (/ -1/8 (* x x))) x)) x)))
(neg x)
x
(- 1 (/ (- (fabs x) (/ (+ 1/2 (/ -1/8 (* x x))) x)) x))
1
(/ (- (fabs x) (/ (+ 1/2 (/ -1/8 (* x x))) x)) x)
(- (fabs x) (/ (+ 1/2 (/ -1/8 (* x x))) x))
(fabs x)
(/ (+ 1/2 (/ -1/8 (* x x))) x)
(+ 1/2 (/ -1/8 (* x x)))
1/2
(/ -1/8 (* x x))
-1/8
(* x x)
Outputs
(copysign (+ (log (+ 1 (+ (* x x) (- (* x x) (* (fabs x) (sqrt (+ (* 1 1) (* x x)))))))) (log (/ (+ (fabs x) (sqrt (+ (* 1 1) (* x x)))) (+ (+ (* x x) 1) (- (* x x) (* (fabs x) (sqrt (+ (* 1 1) (* x x))))))))) x)
(copysign.f32 (+.f32 (log1p.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 2 binary32)) (*.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)))) (log.f32 (/.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)) (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal 2 binary32))) (*.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)))))) x)
(+ (log (+ 1 (+ (* x x) (- (* x x) (* (fabs x) (sqrt (+ (* 1 1) (* x x)))))))) (log (/ (+ (fabs x) (sqrt (+ (* 1 1) (* x x)))) (+ (+ (* x x) 1) (- (* x x) (* (fabs x) (sqrt (+ (* 1 1) (* x x)))))))))
(+.f32 (log1p.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 2 binary32)) (*.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)))) (log.f32 (/.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)) (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal 2 binary32))) (*.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))))))
(log (+ 1 (+ (* x x) (- (* x x) (* (fabs x) (sqrt (+ (* 1 1) (* x x))))))))
(log1p.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 2 binary32)) (*.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))))
(+ (* x x) (- (* x x) (* (fabs x) (sqrt (+ (* 1 1) (* x x))))))
(-.f32 (*.f32 (*.f32 x x) #s(literal 2 binary32)) (*.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)))
(* x x)
(*.f32 x x)
x
(- (* x x) (* (fabs x) (sqrt (+ (* 1 1) (* x x)))))
(-.f32 (*.f32 x x) (*.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)))
(* (fabs x) (sqrt (+ (* 1 1) (* x x))))
(*.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))
(fabs x)
(fabs.f32 x)
(sqrt (+ (* 1 1) (* x x)))
(hypot.f32 #s(literal 1 binary32) x)
1
#s(literal 1 binary32)
(log (/ (+ (fabs x) (sqrt (+ (* 1 1) (* x x)))) (+ (+ (* x x) 1) (- (* x x) (* (fabs x) (sqrt (+ (* 1 1) (* x x))))))))
(log.f32 (/.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)) (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal 2 binary32))) (*.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)))))
(/ (+ (fabs x) (sqrt (+ (* 1 1) (* x x)))) (+ (+ (* x x) 1) (- (* x x) (* (fabs x) (sqrt (+ (* 1 1) (* x x)))))))
(/.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)) (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal 2 binary32))) (*.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))))
(+ (fabs x) (sqrt (+ (* 1 1) (* x x))))
(+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))
(+ (+ (* x x) 1) (- (* x x) (* (fabs x) (sqrt (+ (* 1 1) (* x x))))))
(-.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal 2 binary32))) (*.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)))
(+ (* x x) 1)
(+.f32 #s(literal 1 binary32) (*.f32 x x))
(copysign (log (neg x)) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)
(log (neg x))
(log.f32 (neg.f32 x))
(neg x)
(neg.f32 x)
x
(copysign (log (+ (* (+ 1 (* x (* x x))) (/ 1 (+ 1 (/ (- (* (* x x) (* x (* x (* x x)))) (* x (* x x))) (+ (* x (* x (* x x))) (+ (* x x) (* x (* x x)))))))) (* (* x x) (+ 1/2 (* (* x x) -1/8))))) x)
(copysign.f32 (log.f32 (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (+.f32 (*.f32 x (*.f32 x x)) #s(literal -1 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x)))))) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x #s(literal -1/8 binary32))))))) x)
(log (+ (* (+ 1 (* x (* x x))) (/ 1 (+ 1 (/ (- (* (* x x) (* x (* x (* x x)))) (* x (* x x))) (+ (* x (* x (* x x))) (+ (* x x) (* x (* x x)))))))) (* (* x x) (+ 1/2 (* (* x x) -1/8)))))
(log.f32 (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (+.f32 (*.f32 x (*.f32 x x)) #s(literal -1 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x)))))) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x #s(literal -1/8 binary32)))))))
(+ (* (+ 1 (* x (* x x))) (/ 1 (+ 1 (/ (- (* (* x x) (* x (* x (* x x)))) (* x (* x x))) (+ (* x (* x (* x x))) (+ (* x x) (* x (* x x)))))))) (* (* x x) (+ 1/2 (* (* x x) -1/8))))
(+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (+.f32 (*.f32 x (*.f32 x x)) #s(literal -1 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x)))))) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x #s(literal -1/8 binary32))))))
(* (+ 1 (* x (* x x))) (/ 1 (+ 1 (/ (- (* (* x x) (* x (* x (* x x)))) (* x (* x x))) (+ (* x (* x (* x x))) (+ (* x x) (* x (* x x))))))))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (+.f32 (*.f32 x (*.f32 x x)) #s(literal -1 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x))))))
(+ 1 (* x (* x x)))
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))
1
#s(literal 1 binary32)
(* x (* x x))
(*.f32 x (*.f32 x x))
x
(* x x)
(*.f32 x x)
(/ 1 (+ 1 (/ (- (* (* x x) (* x (* x (* x x)))) (* x (* x x))) (+ (* x (* x (* x x))) (+ (* x x) (* x (* x x)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (+.f32 (*.f32 x (*.f32 x x)) #s(literal -1 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x))))))
(+ 1 (/ (- (* (* x x) (* x (* x (* x x)))) (* x (* x x))) (+ (* x (* x (* x x))) (+ (* x x) (* x (* x x))))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (+.f32 (*.f32 x (*.f32 x x)) #s(literal -1 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x)))))
(/ (- (* (* x x) (* x (* x (* x x)))) (* x (* x x))) (+ (* x (* x (* x x))) (+ (* x x) (* x (* x x)))))
(/.f32 (*.f32 x (+.f32 (*.f32 x (*.f32 x x)) #s(literal -1 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x))))
(- (* (* x x) (* x (* x (* x x)))) (* x (* x x)))
(*.f32 (*.f32 x x) (*.f32 x (+.f32 (*.f32 x (*.f32 x x)) #s(literal -1 binary32))))
(* (* x x) (* x (* x (* x x))))
(*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))
(* x (* x (* x x)))
(*.f32 x (*.f32 x (*.f32 x x)))
(+ (* x (* x (* x x))) (+ (* x x) (* x (* x x))))
(*.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x))))
(+ (* x x) (* x (* x x)))
(*.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) x))
(* (* x x) (+ 1/2 (* (* x x) -1/8)))
(*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x #s(literal -1/8 binary32)))))
(+ 1/2 (* (* x x) -1/8))
(+.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x #s(literal -1/8 binary32))))
1/2
#s(literal 1/2 binary32)
(* (* x x) -1/8)
(*.f32 x (*.f32 x #s(literal -1/8 binary32)))
-1/8
#s(literal -1/8 binary32)
(copysign (log (- (/ (* x (fabs x)) x) x)) x)
(copysign.f32 (log.f32 (-.f32 (fabs.f32 x) x)) x)
(log (- (/ (* x (fabs x)) x) x))
(log.f32 (-.f32 (fabs.f32 x) x))
(- (/ (* x (fabs x)) x) x)
(-.f32 (fabs.f32 x) x)
(/ (* x (fabs x)) x)
(fabs.f32 x)
(* x (fabs x))
(*.f32 x (fabs.f32 x))
x
(fabs x)
(fabs.f32 x)
(copysign (log (* (neg x) (- 1 (/ (- (fabs x) (/ (+ 1/2 (/ -1/8 (* x x))) x)) x)))) x)
(copysign.f32 (log.f32 (-.f32 (+.f32 (fabs.f32 x) (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)) x)) x)
(log (* (neg x) (- 1 (/ (- (fabs x) (/ (+ 1/2 (/ -1/8 (* x x))) x)) x))))
(log.f32 (-.f32 (+.f32 (fabs.f32 x) (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)) x))
(* (neg x) (- 1 (/ (- (fabs x) (/ (+ 1/2 (/ -1/8 (* x x))) x)) x)))
(-.f32 (+.f32 (fabs.f32 x) (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)) x)
(neg x)
(neg.f32 x)
x
(- 1 (/ (- (fabs x) (/ (+ 1/2 (/ -1/8 (* x x))) x)) x))
(+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x) (fabs.f32 x)) x))
1
#s(literal 1 binary32)
(/ (- (fabs x) (/ (+ 1/2 (/ -1/8 (* x x))) x)) x)
(/.f32 (+.f32 (fabs.f32 x) (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)) x)
(- (fabs x) (/ (+ 1/2 (/ -1/8 (* x x))) x))
(+.f32 (fabs.f32 x) (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x))
(fabs x)
(fabs.f32 x)
(/ (+ 1/2 (/ -1/8 (* x x))) x)
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)
(+ 1/2 (/ -1/8 (* x x)))
(+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x)))
1/2
#s(literal 1/2 binary32)
(/ -1/8 (* x x))
(/.f32 #s(literal -1/8 binary32) (*.f32 x x))
-1/8
#s(literal -1/8 binary32)
(* x x)
(*.f32 x x)

localize320.0ms (3.8%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)
✓accuracy100.0%
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)) x))
✓accuracy100.0%
(*.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)) x)))
✓accuracy100.0%
(log.f32 (*.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)) x))))
✓accuracy100.0%
(-.f32 (/.f32 (*.f32 x (fabs.f32 x)) x) x)
✓accuracy100.0%
(*.f32 x (fabs.f32 x))
✓accuracy100.0%
(fabs.f32 x)
✓accuracy100.0%
(log.f32 (-.f32 (/.f32 (*.f32 x (fabs.f32 x)) x) x))
✓accuracy100.0%
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))
✓accuracy100.0%
(*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32))))
✓accuracy100.0%
(*.f32 x (*.f32 x (*.f32 x x)))
✓accuracy100.0%
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x))))))))
✓accuracy100.0%
(copysign.f32 (log.f32 (neg.f32 x)) x)
✓accuracy100.0%
(neg.f32 x)
✓accuracy100.0%
(log.f32 (neg.f32 x))
✓accuracy100.0%
(*.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))
✓accuracy100.0%
(log1p.f32 (+.f32 (*.f32 x x) (-.f32 (*.f32 x x) (*.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)))))
✓accuracy100.0%
(-.f32 (*.f32 x x) (*.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)))
✓accuracy100.0%
(+.f32 (*.f32 x x) #s(literal 1 binary32))
Results
216.0ms254×0invalid
1.0ms2×0valid
Compiler

Compiled 842 to 53 computations (93.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 133.0ms
ival-div: 31.0ms (23.4% of total)
ival-log: 27.0ms (20.4% of total)
ival-mult: 21.0ms (15.8% of total)
ival-add: 17.0ms (12.8% of total)
compiled-spec: 13.0ms (9.8% of total)
ival-copysign: 10.0ms (7.5% of total)
ival-sub: 9.0ms (6.8% of total)
ival-fabs: 2.0ms (1.5% of total)
ival-sqrt: 2.0ms (1.5% of total)
const: 1.0ms (0.8% of total)
ival-neg: 1.0ms (0.8% of total)
backward-pass: 0.0ms (0% of total)

series54.0ms (0.6%)

Counts
28 → 336
Calls
Call 1
Inputs
#<alt (copysign (+ (log (+ 1 (+ (* x x) (- (* x x) (* (fabs x) (sqrt (+ (* 1 1) (* x x)))))))) (log (/ (+ (fabs x) (sqrt (+ (* 1 1) (* x x)))) (+ (+ (* x x) 1) (- (* x x) (* (fabs x) (sqrt (+ (* 1 1) (* x x))))))))) x)>
#<alt (+ (log (+ 1 (+ (* x x) (- (* x x) (* (fabs x) (sqrt (+ (* 1 1) (* x x)))))))) (log (/ (+ (fabs x) (sqrt (+ (* 1 1) (* x x)))) (+ (+ (* x x) 1) (- (* x x) (* (fabs x) (sqrt (+ (* 1 1) (* x x)))))))))>
#<alt (log (+ 1 (+ (* x x) (- (* x x) (* (fabs x) (sqrt (+ (* 1 1) (* x x))))))))>
#<alt (+ (* x x) (- (* x x) (* (fabs x) (sqrt (+ (* 1 1) (* x x))))))>
#<alt (copysign (log (neg x)) x)>
#<alt (log (neg x))>
#<alt (neg x)>
#<alt (copysign (log (+ (* (+ 1 (* x (* x x))) (/ 1 (+ 1 (/ (- (* (* x x) (* x (* x (* x x)))) (* x (* x x))) (+ (* x (* x (* x x))) (+ (* x x) (* x (* x x)))))))) (* (* x x) (+ 1/2 (* (* x x) -1/8))))) x)>
#<alt (log (+ (* (+ 1 (* x (* x x))) (/ 1 (+ 1 (/ (- (* (* x x) (* x (* x (* x x)))) (* x (* x x))) (+ (* x (* x (* x x))) (+ (* x x) (* x (* x x)))))))) (* (* x x) (+ 1/2 (* (* x x) -1/8)))))>
#<alt (+ (* (+ 1 (* x (* x x))) (/ 1 (+ 1 (/ (- (* (* x x) (* x (* x (* x x)))) (* x (* x x))) (+ (* x (* x (* x x))) (+ (* x x) (* x (* x x)))))))) (* (* x x) (+ 1/2 (* (* x x) -1/8))))>
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Outputs
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#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -1/16 x))) 1/6))))>
#<alt (+ (log -1/8) (* -4 (log (/ 1 x))))>
#<alt (- (+ (log -1/8) (* -4 (log (/ 1 x)))) (* 4 (/ 1 (pow x 2))))>
#<alt (+ (log -1/8) (+ (* -4 (log (/ 1 x))) (* -1 (/ (+ 4 (* 8 (/ 1 x))) (pow x 2)))))>
#<alt (- (+ (log -1/8) (+ (* -4 (log (/ 1 x))) (* -1 (/ (+ 8 (* 16 (/ 1 x))) (pow x 3))))) (* 4 (/ 1 (pow x 2))))>
#<alt (+ (log -1/8) (* -4 (log (/ -1 x))))>
#<alt (- (+ (log -1/8) (* -4 (log (/ -1 x)))) (* 4 (/ 1 (pow x 2))))>
#<alt (+ (log -1/8) (+ (* -4 (log (/ -1 x))) (* -1 (/ (+ 4 (* 8 (/ 1 x))) (pow x 2)))))>
#<alt (- (+ (log -1/8) (+ (* -4 (log (/ -1 x))) (* -1 (/ (+ 8 (* 16 (/ 1 x))) (pow x 3))))) (* 4 (/ 1 (pow x 2))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))>
#<alt (* -1/8 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))>
#<alt (* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 3))) 1/8))>
#<alt (* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 (pow x 3)) (/ 1 (pow x 4)))) 1/8))>
#<alt (* -1/8 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))>
#<alt (* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 3))) 1/8))>
#<alt (* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 (pow x 3)) (/ 1 (pow x 4)))) 1/8))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (copysign (log (- (fabs x) x)) x)>
#<alt (copysign (log (- (fabs x) x)) x)>
#<alt (copysign (log (- (fabs x) x)) x)>
#<alt (copysign (log (- (fabs x) x)) x)>
#<alt (copysign (log (- (fabs x) x)) x)>
#<alt (copysign (log (- (fabs x) x)) x)>
#<alt (copysign (log (- (fabs x) x)) x)>
#<alt (copysign (log (- (fabs x) x)) x)>
#<alt (copysign (log (+ (fabs x) (* -1 x))) x)>
#<alt (copysign (log (+ (fabs x) (* -1 x))) x)>
#<alt (copysign (log (+ (fabs x) (* -1 x))) x)>
#<alt (copysign (log (+ (fabs x) (* -1 x))) x)>
#<alt (log (fabs x))>
#<alt (+ (log (fabs x)) (* -1 (/ x (fabs x))))>
#<alt (+ (log (fabs x)) (* x (- (* -1/2 (/ x (pow (fabs x) 2))) (/ 1 (fabs x)))))>
#<alt (+ (log (fabs x)) (* x (- (* x (- (* -1/3 (/ x (pow (fabs x) 3))) (* 1/2 (/ 1 (pow (fabs x) 2))))) (/ 1 (fabs x)))))>
#<alt (+ (log -1) (* -1 (log (/ 1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (fabs x) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (* -1/2 (/ (pow (fabs x) 2) (pow x 2))))))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (+ (* -1/2 (/ (pow (fabs x) 2) (pow x 2))) (* -1/3 (/ (pow (fabs x) 3) (pow x 3)))))))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* 1/2 (/ (pow (fabs x) 2) x))) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/2 (pow (fabs x) 2)) (* -1/3 (/ (pow (fabs x) 3) x))) x))) x)))>
#<alt (fabs x)>
#<alt (+ (fabs x) (* -1 x))>
#<alt (+ (fabs x) (* -1 x))>
#<alt (+ (fabs x) (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ (fabs x) x) 1))>
#<alt (* x (- (/ (fabs x) x) 1))>
#<alt (* x (- (/ (fabs x) x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (copysign (log (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (+ (* 1/8 (/ 1 (pow x 4))) (/ (fabs x) x)))))) x)>
#<alt (copysign (log (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (+ (* 1/8 (/ 1 (pow x 4))) (/ (fabs x) x)))))) x)>
#<alt (copysign (log (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (+ (* 1/8 (/ 1 (pow x 4))) (/ (fabs x) x)))))) x)>
#<alt (copysign (log (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (+ (* 1/8 (/ 1 (pow x 4))) (/ (fabs x) x)))))) x)>
#<alt (copysign (log (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (+ (* 1/8 (/ 1 (pow x 4))) (/ (fabs x) x)))))) x)>
#<alt (copysign (log (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (+ (* 1/8 (/ 1 (pow x 4))) (/ (fabs x) x)))))) x)>
#<alt (copysign (log (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (+ (* 1/8 (/ 1 (pow x 4))) (/ (fabs x) x)))))) x)>
#<alt (copysign (log (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (+ (* 1/8 (/ 1 (pow x 4))) (/ (fabs x) x)))))) x)>
#<alt (copysign (log (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (+ (* 1/8 (/ 1 (pow x 4))) (/ (fabs x) x)))))) x)>
#<alt (copysign (log (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (+ (* 1/8 (/ 1 (pow x 4))) (/ (fabs x) x)))))) x)>
#<alt (copysign (log (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (+ (* 1/8 (/ 1 (pow x 4))) (/ (fabs x) x)))))) x)>
#<alt (copysign (log (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (+ (* 1/8 (/ 1 (pow x 4))) (/ (fabs x) x)))))) x)>
#<alt (+ (log 1/8) (* -3 (log x)))>
#<alt (+ (log 1/8) (+ (* -4 (pow x 2)) (* -3 (log x))))>
#<alt (+ (log 1/8) (+ (* -3 (log x)) (* (pow x 2) (- (* 8 (* x (fabs x))) 4))))>
#<alt (+ (log 1/8) (+ (* -3 (log x)) (* (pow x 2) (- (* x (+ (* -16 x) (* 8 (fabs x)))) 4))))>
#<alt (+ (log -1) (* -1 (log (/ 1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (fabs x) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))))))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (+ (* 1/6 (/ (+ (* -2 (pow (fabs x) 3)) (* 3 (fabs x))) (pow x 3))) (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2)))))))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))>
#<alt (/ 1/8 (pow x 3))>
#<alt (/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3))>
#<alt (/ (+ 1/8 (* (pow x 2) (- (* x (fabs x)) 1/2))) (pow x 3))>
#<alt (/ (+ 1/8 (* (pow x 2) (- (* x (+ (fabs x) (* -1 x))) 1/2))) (pow x 3))>
#<alt (* -1 x)>
#<alt (* x (- (/ (fabs x) x) 1))>
#<alt (* x (- (/ (fabs x) x) (+ 1 (/ 1/2 (pow x 2)))))>
#<alt (* x (- (+ (* 1/8 (/ 1 (pow x 4))) (/ (fabs x) x)) (+ 1 (/ 1/2 (pow x 2)))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))>
#<alt 1>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (pow x 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* -1 (fabs x))>
#<alt (- (* (pow x 2) (- 1 (* 1/2 (fabs x)))) (fabs x))>
#<alt (- (* (pow x 2) (- (+ 1 (* 1/8 (* (pow x 2) (fabs x)))) (* 1/2 (fabs x)))) (fabs x))>
#<alt (- (* (pow x 2) (- (+ 1 (* (pow x 2) (- (* -1/16 (* (pow x 2) (fabs x))) (* -1/8 (fabs x))))) (* 1/2 (fabs x)))) (fabs x))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (fabs x) x))))>
#<alt (* (pow x 2) (- (+ 1 (* -1/2 (/ (fabs x) (pow x 3)))) (/ (fabs x) x)))>
#<alt (* (pow x 2) (- (+ 1 (* 1/8 (/ (fabs x) (pow x 5)))) (+ (* 1/2 (/ (fabs x) (pow x 3))) (/ (fabs x) x))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ (fabs x) x)))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (- (* -1/2 (/ (fabs x) (pow x 2))) (fabs x)) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (- (* 1/8 (/ (fabs x) (pow x 4))) (+ (fabs x) (* 1/2 (/ (fabs x) (pow x 2))))) x))))>
#<alt (fabs x)>
#<alt (+ (fabs x) (* 1/2 (* (pow x 2) (fabs x))))>
#<alt (+ (fabs x) (* (pow x 2) (+ (* -1/8 (* (pow x 2) (fabs x))) (* 1/2 (fabs x)))))>
#<alt (+ (fabs x) (* (pow x 2) (+ (* 1/2 (fabs x)) (* (pow x 2) (+ (* -1/8 (fabs x)) (* 1/16 (* (pow x 2) (fabs x))))))))>
#<alt (* x (fabs x))>
#<alt (* x (+ (fabs x) (* 1/2 (/ (fabs x) (pow x 2)))))>
#<alt (* x (+ (fabs x) (+ (* -1/8 (/ (fabs x) (pow x 4))) (* 1/2 (/ (fabs x) (pow x 2))))))>
#<alt (* x (+ (fabs x) (+ (* -1/8 (/ (fabs x) (pow x 4))) (+ (* 1/16 (/ (fabs x) (pow x 6))) (* 1/2 (/ (fabs x) (pow x 2)))))))>
#<alt (* -1 (* x (fabs x)))>
#<alt (* -1 (* x (+ (fabs x) (* 1/2 (/ (fabs x) (pow x 2))))))>
#<alt (* -1 (* x (+ (fabs x) (+ (* -1/8 (/ (fabs x) (pow x 4))) (* 1/2 (/ (fabs x) (pow x 2)))))))>
#<alt (* -1 (* x (+ (fabs x) (+ (* -1/8 (/ (fabs x) (pow x 4))) (+ (* 1/16 (/ (fabs x) (pow x 6))) (* 1/2 (/ (fabs x) (pow x 2))))))))>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))>
#<alt (* -1/8 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))>
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))>
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))>
#<alt (* -1/8 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))>
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))>
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))>
#<alt 1>
#<alt (+ 1 (pow x 3))>
#<alt (+ 1 (pow x 3))>
#<alt (+ 1 (pow x 3))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (/ 1 (pow x 3))))>
#<alt (* (pow x 3) (+ 1 (/ 1 (pow x 3))))>
#<alt (* (pow x 3) (+ 1 (/ 1 (pow x 3))))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (/ 1 (pow x 3))))>
#<alt (* (pow x 3) (+ 1 (/ 1 (pow x 3))))>
#<alt (* (pow x 3) (+ 1 (/ 1 (pow x 3))))>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (* x (fabs x))>
#<alt (* x (fabs x))>
#<alt (* x (fabs x))>
#<alt (* x (fabs x))>
#<alt (* x (fabs x))>
#<alt (* x (fabs x))>
#<alt (* x (fabs x))>
#<alt (* x (fabs x))>
#<alt (* x (fabs x))>
#<alt (* x (fabs x))>
#<alt (* x (fabs x))>
#<alt (* x (fabs x))>
#<alt (/ -1/8 (pow x 4))>
#<alt (/ (- (* 1/2 (pow x 2)) 1/8) (pow x 4))>
#<alt (/ (- (* (pow x 2) (+ 1/2 (* -1 (* x (fabs x))))) 1/8) (pow x 4))>
#<alt (/ (- (* (pow x 2) (+ 1/2 (* x (- x (fabs x))))) 1/8) (pow x 4))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (fabs x) x)))>
#<alt (- (+ 1 (/ 1/2 (pow x 2))) (/ (fabs x) x))>
#<alt (- (+ 1 (/ 1/2 (pow x 2))) (+ (* 1/8 (/ 1 (pow x 4))) (/ (fabs x) x)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (fabs x) x)))>
#<alt (+ 1 (+ (* -1 (/ (fabs x) x)) (/ 1/2 (pow x 2))))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) (* -1 (fabs x))) x)))>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ (- (* 1/2 (pow x 2)) 1/8) (pow x 3))>
#<alt (/ (- (* 1/2 (pow x 2)) 1/8) (pow x 3))>
#<alt (/ (- (* 1/2 (pow x 2)) 1/8) (pow x 3))>
#<alt (/ 1/2 x)>
#<alt (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)>
#<alt (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)>
#<alt (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)>
#<alt (/ 1/2 x)>
#<alt (* -1 (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x))>
#<alt (* -1 (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x))>
#<alt (* -1 (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x))>
Calls

84 calls:

TimeVariablePointExpression
9.0ms
x
@inf
(log (neg x))
8.0ms
x
@0
(log (neg x))
5.0ms
x
@0
(+ (log (+ 1 (+ (* x x) (- (* x x) (* (fabs x) (sqrt (+ (* 1 1) (* x x)))))))) (log (/ (+ (fabs x) (sqrt (+ (* 1 1) (* x x)))) (+ (+ (* x x) 1) (- (* x x) (* (fabs x) (sqrt (+ (* 1 1) (* x x)))))))))
5.0ms
x
@-inf
(+ (log (+ 1 (+ (* x x) (- (* x x) (* (fabs x) (sqrt (+ (* 1 1) (* x x)))))))) (log (/ (+ (fabs x) (sqrt (+ (* 1 1) (* x x)))) (+ (+ (* x x) 1) (- (* x x) (* (fabs x) (sqrt (+ (* 1 1) (* x x)))))))))
2.0ms
x
@inf
(+ (log (+ 1 (+ (* x x) (- (* x x) (* (fabs x) (sqrt (+ (* 1 1) (* x x)))))))) (log (/ (+ (fabs x) (sqrt (+ (* 1 1) (* x x)))) (+ (+ (* x x) 1) (- (* x x) (* (fabs x) (sqrt (+ (* 1 1) (* x x)))))))))

rewrite370.0ms (4.4%)

Algorithm
1×batch-egg-rewrite
Rules
2344×*-lowering-*.f32
2344×*-lowering-*.f64
2094×fma-lowering-fma.f32
2094×fma-lowering-fma.f64
2022×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
055424
1436330
24813323
08409323
Stop Event
1×iter limit
1×node limit
Counts
28 → 342
Calls
Call 1
Inputs
(copysign (+ (log (+ 1 (+ (* x x) (- (* x x) (* (fabs x) (sqrt (+ (* 1 1) (* x x)))))))) (log (/ (+ (fabs x) (sqrt (+ (* 1 1) (* x x)))) (+ (+ (* x x) 1) (- (* x x) (* (fabs x) (sqrt (+ (* 1 1) (* x x))))))))) x)
(+ (log (+ 1 (+ (* x x) (- (* x x) (* (fabs x) (sqrt (+ (* 1 1) (* x x)))))))) (log (/ (+ (fabs x) (sqrt (+ (* 1 1) (* x x)))) (+ (+ (* x x) 1) (- (* x x) (* (fabs x) (sqrt (+ (* 1 1) (* x x)))))))))
(log (+ 1 (+ (* x x) (- (* x x) (* (fabs x) (sqrt (+ (* 1 1) (* x x))))))))
(+ (* x x) (- (* x x) (* (fabs x) (sqrt (+ (* 1 1) (* x x))))))
(copysign (log (neg x)) x)
(log (neg x))
(neg x)
(copysign (log (+ (* (+ 1 (* x (* x x))) (/ 1 (+ 1 (/ (- (* (* x x) (* x (* x (* x x)))) (* x (* x x))) (+ (* x (* x (* x x))) (+ (* x x) (* x (* x x)))))))) (* (* x x) (+ 1/2 (* (* x x) -1/8))))) x)
(log (+ (* (+ 1 (* x (* x x))) (/ 1 (+ 1 (/ (- (* (* x x) (* x (* x (* x x)))) (* x (* x x))) (+ (* x (* x (* x x))) (+ (* x x) (* x (* x x)))))))) (* (* x x) (+ 1/2 (* (* x x) -1/8)))))
(+ (* (+ 1 (* x (* x x))) (/ 1 (+ 1 (/ (- (* (* x x) (* x (* x (* x x)))) (* x (* x x))) (+ (* x (* x (* x x))) (+ (* x x) (* x (* x x)))))))) (* (* x x) (+ 1/2 (* (* x x) -1/8))))
(* (+ 1 (* x (* x x))) (/ 1 (+ 1 (/ (- (* (* x x) (* x (* x (* x x)))) (* x (* x x))) (+ (* x (* x (* x x))) (+ (* x x) (* x (* x x))))))))
(copysign (log (- (/ (* x (fabs x)) x) x)) x)
(log (- (/ (* x (fabs x)) x) x))
(- (/ (* x (fabs x)) x) x)
(/ (* x (fabs x)) x)
(copysign (log (* (neg x) (- 1 (/ (- (fabs x) (/ (+ 1/2 (/ -1/8 (* x x))) x)) x)))) x)
(log (* (neg x) (- 1 (/ (- (fabs x) (/ (+ 1/2 (/ -1/8 (* x x))) x)) x))))
(* (neg x) (- 1 (/ (- (fabs x) (/ (+ 1/2 (/ -1/8 (* x x))) x)) x)))
(+ (* x x) 1)
(- (* x x) (* (fabs x) (sqrt (+ (* 1 1) (* x x)))))
(* (fabs x) (sqrt (+ (* 1 1) (* x x))))
(* x (* x (* x x)))
(* (* x x) (+ 1/2 (* (* x x) -1/8)))
(+ 1 (* x (* x x)))
(fabs x)
(* x (fabs x))
(- 1 (/ (- (fabs x) (/ (+ 1/2 (/ -1/8 (* x x))) x)) x))
(/ (+ 1/2 (/ -1/8 (* x x))) x)
Outputs
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(+.f32 (log1p.f32 (-.f32 (*.f32 #s(literal 2 binary32) (*.f32 x x)) (*.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)))) (log.f32 (/.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)) (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (*.f32 x x))) (*.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))))))
(+.f32 (log.f32 (/.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)) (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (*.f32 x x))) (*.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))))) (log1p.f32 (-.f32 (*.f32 #s(literal 2 binary32) (*.f32 x x)) (*.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)))))
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(*.f32 #s(literal 1 binary32) (fabs.f32 x))
(*.f32 x (fabs.f32 x))
(*.f32 (fabs.f32 x) x)
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(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)) x) #s(literal 2 binary32)))) (neg.f32 (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)) x))))
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(neg.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)))
(pow.f32 (/.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x)))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x)))))
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(*.f32 (neg.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x)))) (/.f32 #s(literal 1 binary32) (neg.f32 x)))
(*.f32 (/.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))))

simplify399.0ms (4.7%)

Algorithm
1×egg-herbie
Rules
4930×+-lowering-+.f64
4930×+-lowering-+.f32
4530×*-lowering-*.f32
4530×*-lowering-*.f64
1530×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
07225975
122415131
084755131
Stop Event
1×iter limit
1×node limit
Counts
336 → 336
Calls
Call 1
Inputs
(copysign (+ (log (- (+ 1 (* 2 (pow x 2))) (* (fabs x) (sqrt (+ 1 (pow x 2)))))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (- (+ 1 (* 2 (pow x 2))) (* (fabs x) (sqrt (+ 1 (pow x 2)))))))) x)
(copysign (+ (log (- (+ 1 (* 2 (pow x 2))) (* (fabs x) (sqrt (+ 1 (pow x 2)))))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (- (+ 1 (* 2 (pow x 2))) (* (fabs x) (sqrt (+ 1 (pow x 2)))))))) x)
(copysign (+ (log (- (+ 1 (* 2 (pow x 2))) (* (fabs x) (sqrt (+ 1 (pow x 2)))))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (- (+ 1 (* 2 (pow x 2))) (* (fabs x) (sqrt (+ 1 (pow x 2)))))))) x)
(copysign (+ (log (- (+ 1 (* 2 (pow x 2))) (* (fabs x) (sqrt (+ 1 (pow x 2)))))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (- (+ 1 (* 2 (pow x 2))) (* (fabs x) (sqrt (+ 1 (pow x 2)))))))) x)
(copysign (+ (log (- (+ 1 (* 2 (pow x 2))) (* (fabs x) (sqrt (+ 1 (pow x 2)))))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (- (+ 1 (* 2 (pow x 2))) (* (fabs x) (sqrt (+ 1 (pow x 2)))))))) x)
(copysign (+ (log (- (+ 1 (* 2 (pow x 2))) (* (fabs x) (sqrt (+ 1 (pow x 2)))))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (- (+ 1 (* 2 (pow x 2))) (* (fabs x) (sqrt (+ 1 (pow x 2)))))))) x)
(copysign (+ (log (- (+ 1 (* 2 (pow x 2))) (* (fabs x) (sqrt (+ 1 (pow x 2)))))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (- (+ 1 (* 2 (pow x 2))) (* (fabs x) (sqrt (+ 1 (pow x 2)))))))) x)
(copysign (+ (log (- (+ 1 (* 2 (pow x 2))) (* (fabs x) (sqrt (+ 1 (pow x 2)))))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (- (+ 1 (* 2 (pow x 2))) (* (fabs x) (sqrt (+ 1 (pow x 2)))))))) x)
(copysign (+ (log (- (+ 1 (* 2 (pow x 2))) (* (fabs x) (sqrt (+ 1 (pow x 2)))))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (- (+ 1 (* 2 (pow x 2))) (* (fabs x) (sqrt (+ 1 (pow x 2)))))))) x)
(copysign (+ (log (- (+ 1 (* 2 (pow x 2))) (* (fabs x) (sqrt (+ 1 (pow x 2)))))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (- (+ 1 (* 2 (pow x 2))) (* (fabs x) (sqrt (+ 1 (pow x 2)))))))) x)
(copysign (+ (log (- (+ 1 (* 2 (pow x 2))) (* (fabs x) (sqrt (+ 1 (pow x 2)))))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (- (+ 1 (* 2 (pow x 2))) (* (fabs x) (sqrt (+ 1 (pow x 2)))))))) x)
(copysign (+ (log (- (+ 1 (* 2 (pow x 2))) (* (fabs x) (sqrt (+ 1 (pow x 2)))))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (- (+ 1 (* 2 (pow x 2))) (* (fabs x) (sqrt (+ 1 (pow x 2)))))))) x)
(+ (log (- 1 (fabs x))) (log (/ (+ 1 (fabs x)) (- 1 (fabs x)))))
(+ (log (- 1 (fabs x))) (+ (log (/ (+ 1 (fabs x)) (- 1 (fabs x)))) (* (pow x 2) (- (+ (* 2 (/ 1 (- 1 (fabs x)))) (/ (* (- 1 (fabs x)) (- (* 1/2 (/ 1 (- 1 (fabs x)))) (/ (* (+ 1 (fabs x)) (- 2 (* 1/2 (fabs x)))) (pow (- 1 (fabs x)) 2)))) (+ 1 (fabs x)))) (* 1/2 (/ (fabs x) (- 1 (fabs x))))))))
(+ (log (- 1 (fabs x))) (+ (log (/ (+ 1 (fabs x)) (- 1 (fabs x)))) (* (pow x 2) (- (+ (* 2 (/ 1 (- 1 (fabs x)))) (+ (* (pow x 2) (+ (* 1/24 (+ (* -24 (/ (* (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (- 1 (fabs x)) 2))) (+ (* 1/8 (/ 1 (- 1 (fabs x)))) (/ (* (- 2 (* 1/2 (fabs x))) (- (* 1/2 (/ 1 (- 1 (fabs x)))) (/ (* (+ 1 (fabs x)) (- 2 (* 1/2 (fabs x)))) (pow (- 1 (fabs x)) 2)))) (- 1 (fabs x))))) (- 1 (fabs x))) (+ 1 (fabs x)))) (* -12 (/ (* (pow (- 1 (fabs x)) 2) (pow (- (* 1/2 (/ 1 (- 1 (fabs x)))) (/ (* (+ 1 (fabs x)) (- 2 (* 1/2 (fabs x)))) (pow (- 1 (fabs x)) 2))) 2)) (pow (+ 1 (fabs x)) 2))))) (* 1/24 (+ (* -12 (/ (pow (- 2 (* 1/2 (fabs x))) 2) (pow (- 1 (fabs x)) 2))) (* 3 (/ (fabs x) (- 1 (fabs x)))))))) (/ (* (- 1 (fabs x)) (- (* 1/2 (/ 1 (- 1 (fabs x)))) (/ (* (+ 1 (fabs x)) (- 2 (* 1/2 (fabs x)))) (pow (- 1 (fabs x)) 2)))) (+ 1 (fabs x))))) (* 1/2 (/ (fabs x) (- 1 (fabs x))))))))
(+ (log (- 1 (fabs x))) (+ (log (/ (+ 1 (fabs x)) (- 1 (fabs x)))) (* (pow x 2) (- (+ (* 2 (/ 1 (- 1 (fabs x)))) (+ (* (pow x 2) (+ (* 1/24 (+ (* -24 (/ (* (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (- 1 (fabs x)) 2))) (+ (* 1/8 (/ 1 (- 1 (fabs x)))) (/ (* (- 2 (* 1/2 (fabs x))) (- (* 1/2 (/ 1 (- 1 (fabs x)))) (/ (* (+ 1 (fabs x)) (- 2 (* 1/2 (fabs x)))) (pow (- 1 (fabs x)) 2)))) (- 1 (fabs x))))) (- 1 (fabs x))) (+ 1 (fabs x)))) (* -12 (/ (* (pow (- 1 (fabs x)) 2) (pow (- (* 1/2 (/ 1 (- 1 (fabs x)))) (/ (* (+ 1 (fabs x)) (- 2 (* 1/2 (fabs x)))) (pow (- 1 (fabs x)) 2))) 2)) (pow (+ 1 (fabs x)) 2))))) (+ (* 1/24 (+ (* -12 (/ (pow (- 2 (* 1/2 (fabs x))) 2) (pow (- 1 (fabs x)) 2))) (* 3 (/ (fabs x) (- 1 (fabs x)))))) (* (pow x 2) (+ (* 1/720 (+ (* -90 (/ (* (fabs x) (- 2 (* 1/2 (fabs x)))) (pow (- 1 (fabs x)) 2))) (+ (* -45 (/ (fabs x) (- 1 (fabs x)))) (* 240 (/ (pow (- 2 (* 1/2 (fabs x))) 3) (pow (- 1 (fabs x)) 3)))))) (* 1/720 (+ (* 240 (/ (* (pow (- 1 (fabs x)) 3) (pow (- (* 1/2 (/ 1 (- 1 (fabs x)))) (/ (* (+ 1 (fabs x)) (- 2 (* 1/2 (fabs x)))) (pow (- 1 (fabs x)) 2))) 3)) (pow (+ 1 (fabs x)) 3))) (+ (* 720 (/ (* (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (- 1 (fabs x)) 2))) (+ (* 1/8 (/ 1 (- 1 (fabs x)))) (/ (* (- 2 (* 1/2 (fabs x))) (- (* 1/2 (/ 1 (- 1 (fabs x)))) (/ (* (+ 1 (fabs x)) (- 2 (* 1/2 (fabs x)))) (pow (- 1 (fabs x)) 2)))) (- 1 (fabs x))))) (* (pow (- 1 (fabs x)) 2) (- (* 1/2 (/ 1 (- 1 (fabs x)))) (/ (* (+ 1 (fabs x)) (- 2 (* 1/2 (fabs x)))) (pow (- 1 (fabs x)) 2))))) (pow (+ 1 (fabs x)) 2))) (* 720 (/ (* (- 1 (fabs x)) (- (* 1/16 (/ 1 (- 1 (fabs x)))) (+ (* -1 (/ (* (+ (* 1/8 (/ 1 (- 1 (fabs x)))) (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (- 1 (fabs x)) 2))) (/ (* (- 2 (* 1/2 (fabs x))) (- (* 1/2 (/ 1 (- 1 (fabs x)))) (/ (* (+ 1 (fabs x)) (- 2 (* 1/2 (fabs x)))) (pow (- 1 (fabs x)) 2)))) (- 1 (fabs x))))) (- 2 (* 1/2 (fabs x)))) (- 1 (fabs x)))) (+ (* -1/16 (/ (* (fabs x) (+ 1 (fabs x))) (pow (- 1 (fabs x)) 2))) (* 1/8 (/ (* (fabs x) (- (* 1/2 (/ 1 (- 1 (fabs x)))) (/ (* (+ 1 (fabs x)) (- 2 (* 1/2 (fabs x)))) (pow (- 1 (fabs x)) 2)))) (- 1 (fabs x)))))))) (+ 1 (fabs x)))))))))))) (/ (* (- 1 (fabs x)) (- (* 1/2 (/ 1 (- 1 (fabs x)))) (/ (* (+ 1 (fabs x)) (- 2 (* 1/2 (fabs x)))) (pow (- 1 (fabs x)) 2)))) (+ 1 (fabs x))))) (* 1/2 (/ (fabs x) (- 1 (fabs x))))))))
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(+ (fabs x) (* (pow x 2) (+ (* 1/2 (fabs x)) (* (pow x 2) (+ (* -1/8 (fabs x)) (* 1/16 (* (pow x 2) (fabs x))))))))
(* x (fabs x))
(* x (+ (fabs x) (* 1/2 (/ (fabs x) (pow x 2)))))
(* x (+ (fabs x) (+ (* -1/8 (/ (fabs x) (pow x 4))) (* 1/2 (/ (fabs x) (pow x 2))))))
(* x (+ (fabs x) (+ (* -1/8 (/ (fabs x) (pow x 4))) (+ (* 1/16 (/ (fabs x) (pow x 6))) (* 1/2 (/ (fabs x) (pow x 2)))))))
(* -1 (* x (fabs x)))
(* -1 (* x (+ (fabs x) (* 1/2 (/ (fabs x) (pow x 2))))))
(* -1 (* x (+ (fabs x) (+ (* -1/8 (/ (fabs x) (pow x 4))) (* 1/2 (/ (fabs x) (pow x 2)))))))
(* -1 (* x (+ (fabs x) (+ (* -1/8 (/ (fabs x) (pow x 4))) (+ (* 1/16 (/ (fabs x) (pow x 6))) (* 1/2 (/ (fabs x) (pow x 2))))))))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))
(* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))
(* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))
(* -1/8 (pow x 4))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
(* -1/8 (pow x 4))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
1
(+ 1 (pow x 3))
(+ 1 (pow x 3))
(+ 1 (pow x 3))
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 (pow x 3))))
(* (pow x 3) (+ 1 (/ 1 (pow x 3))))
(* (pow x 3) (+ 1 (/ 1 (pow x 3))))
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 (pow x 3))))
(* (pow x 3) (+ 1 (/ 1 (pow x 3))))
(* (pow x 3) (+ 1 (/ 1 (pow x 3))))
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(* x (fabs x))
(* x (fabs x))
(* x (fabs x))
(* x (fabs x))
(* x (fabs x))
(* x (fabs x))
(* x (fabs x))
(* x (fabs x))
(* x (fabs x))
(* x (fabs x))
(* x (fabs x))
(* x (fabs x))
(/ -1/8 (pow x 4))
(/ (- (* 1/2 (pow x 2)) 1/8) (pow x 4))
(/ (- (* (pow x 2) (+ 1/2 (* -1 (* x (fabs x))))) 1/8) (pow x 4))
(/ (- (* (pow x 2) (+ 1/2 (* x (- x (fabs x))))) 1/8) (pow x 4))
1
(+ 1 (* -1 (/ (fabs x) x)))
(- (+ 1 (/ 1/2 (pow x 2))) (/ (fabs x) x))
(- (+ 1 (/ 1/2 (pow x 2))) (+ (* 1/8 (/ 1 (pow x 4))) (/ (fabs x) x)))
1
(+ 1 (* -1 (/ (fabs x) x)))
(+ 1 (+ (* -1 (/ (fabs x) x)) (/ 1/2 (pow x 2))))
(+ 1 (* -1 (/ (- (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) (* -1 (fabs x))) x)))
(/ -1/8 (pow x 3))
(/ (- (* 1/2 (pow x 2)) 1/8) (pow x 3))
(/ (- (* 1/2 (pow x 2)) 1/8) (pow x 3))
(/ (- (* 1/2 (pow x 2)) 1/8) (pow x 3))
(/ 1/2 x)
(/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/ 1/2 x)
(* -1 (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x))
(* -1 (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x))
(* -1 (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x))
Outputs
(copysign (+ (log (- (+ 1 (* 2 (pow x 2))) (* (fabs x) (sqrt (+ 1 (pow x 2)))))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (- (+ 1 (* 2 (pow x 2))) (* (fabs x) (sqrt (+ 1 (pow x 2)))))))) x)
(copysign.f32 (+.f32 (log1p.f32 (-.f32 (*.f32 #s(literal 2 binary32) (*.f32 x x)) (*.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)))) (log.f32 (/.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)) (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (*.f32 x x))) (*.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)))))) x)
(copysign (+ (log (- (+ 1 (* 2 (pow x 2))) (* (fabs x) (sqrt (+ 1 (pow x 2)))))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (- (+ 1 (* 2 (pow x 2))) (* (fabs x) (sqrt (+ 1 (pow x 2)))))))) x)
(copysign.f32 (+.f32 (log1p.f32 (-.f32 (*.f32 #s(literal 2 binary32) (*.f32 x x)) (*.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)))) (log.f32 (/.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)) (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (*.f32 x x))) (*.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)))))) x)
(copysign (+ (log (- (+ 1 (* 2 (pow x 2))) (* (fabs x) (sqrt (+ 1 (pow x 2)))))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (- (+ 1 (* 2 (pow x 2))) (* (fabs x) (sqrt (+ 1 (pow x 2)))))))) x)
(copysign.f32 (+.f32 (log1p.f32 (-.f32 (*.f32 #s(literal 2 binary32) (*.f32 x x)) (*.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)))) (log.f32 (/.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)) (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (*.f32 x x))) (*.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)))))) x)
(copysign (+ (log (- (+ 1 (* 2 (pow x 2))) (* (fabs x) (sqrt (+ 1 (pow x 2)))))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (- (+ 1 (* 2 (pow x 2))) (* (fabs x) (sqrt (+ 1 (pow x 2)))))))) x)
(copysign.f32 (+.f32 (log1p.f32 (-.f32 (*.f32 #s(literal 2 binary32) (*.f32 x x)) (*.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)))) (log.f32 (/.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)) (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (*.f32 x x))) (*.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)))))) x)
(copysign (+ (log (- (+ 1 (* 2 (pow x 2))) (* (fabs x) (sqrt (+ 1 (pow x 2)))))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (- (+ 1 (* 2 (pow x 2))) (* (fabs x) (sqrt (+ 1 (pow x 2)))))))) x)
(copysign.f32 (+.f32 (log1p.f32 (-.f32 (*.f32 #s(literal 2 binary32) (*.f32 x x)) (*.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)))) (log.f32 (/.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)) (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (*.f32 x x))) (*.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)))))) x)
(copysign (+ (log (- (+ 1 (* 2 (pow x 2))) (* (fabs x) (sqrt (+ 1 (pow x 2)))))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (- (+ 1 (* 2 (pow x 2))) (* (fabs x) (sqrt (+ 1 (pow x 2)))))))) x)
(copysign.f32 (+.f32 (log1p.f32 (-.f32 (*.f32 #s(literal 2 binary32) (*.f32 x x)) (*.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)))) (log.f32 (/.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)) (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (*.f32 x x))) (*.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)))))) x)
(copysign (+ (log (- (+ 1 (* 2 (pow x 2))) (* (fabs x) (sqrt (+ 1 (pow x 2)))))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (- (+ 1 (* 2 (pow x 2))) (* (fabs x) (sqrt (+ 1 (pow x 2)))))))) x)
(copysign.f32 (+.f32 (log1p.f32 (-.f32 (*.f32 #s(literal 2 binary32) (*.f32 x x)) (*.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)))) (log.f32 (/.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)) (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (*.f32 x x))) (*.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)))))) x)
(copysign (+ (log (- (+ 1 (* 2 (pow x 2))) (* (fabs x) (sqrt (+ 1 (pow x 2)))))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (- (+ 1 (* 2 (pow x 2))) (* (fabs x) (sqrt (+ 1 (pow x 2)))))))) x)
(copysign.f32 (+.f32 (log1p.f32 (-.f32 (*.f32 #s(literal 2 binary32) (*.f32 x x)) (*.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)))) (log.f32 (/.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)) (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (*.f32 x x))) (*.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)))))) x)
(copysign (+ (log (- (+ 1 (* 2 (pow x 2))) (* (fabs x) (sqrt (+ 1 (pow x 2)))))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (- (+ 1 (* 2 (pow x 2))) (* (fabs x) (sqrt (+ 1 (pow x 2)))))))) x)
(copysign.f32 (+.f32 (log1p.f32 (-.f32 (*.f32 #s(literal 2 binary32) (*.f32 x x)) (*.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)))) (log.f32 (/.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)) (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (*.f32 x x))) (*.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)))))) x)
(copysign (+ (log (- (+ 1 (* 2 (pow x 2))) (* (fabs x) (sqrt (+ 1 (pow x 2)))))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (- (+ 1 (* 2 (pow x 2))) (* (fabs x) (sqrt (+ 1 (pow x 2)))))))) x)
(copysign.f32 (+.f32 (log1p.f32 (-.f32 (*.f32 #s(literal 2 binary32) (*.f32 x x)) (*.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)))) (log.f32 (/.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)) (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (*.f32 x x))) (*.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)))))) x)
(copysign (+ (log (- (+ 1 (* 2 (pow x 2))) (* (fabs x) (sqrt (+ 1 (pow x 2)))))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (- (+ 1 (* 2 (pow x 2))) (* (fabs x) (sqrt (+ 1 (pow x 2)))))))) x)
(copysign.f32 (+.f32 (log1p.f32 (-.f32 (*.f32 #s(literal 2 binary32) (*.f32 x x)) (*.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)))) (log.f32 (/.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)) (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (*.f32 x x))) (*.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)))))) x)
(copysign (+ (log (- (+ 1 (* 2 (pow x 2))) (* (fabs x) (sqrt (+ 1 (pow x 2)))))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (- (+ 1 (* 2 (pow x 2))) (* (fabs x) (sqrt (+ 1 (pow x 2)))))))) x)
(copysign.f32 (+.f32 (log1p.f32 (-.f32 (*.f32 #s(literal 2 binary32) (*.f32 x x)) (*.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)))) (log.f32 (/.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)) (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (*.f32 x x))) (*.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)))))) x)
(+ (log (- 1 (fabs x))) (log (/ (+ 1 (fabs x)) (- 1 (fabs x)))))
(+.f32 (log1p.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x))) (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))))
(+ (log (- 1 (fabs x))) (+ (log (/ (+ 1 (fabs x)) (- 1 (fabs x)))) (* (pow x 2) (- (+ (* 2 (/ 1 (- 1 (fabs x)))) (/ (* (- 1 (fabs x)) (- (* 1/2 (/ 1 (- 1 (fabs x)))) (/ (* (+ 1 (fabs x)) (- 2 (* 1/2 (fabs x)))) (pow (- 1 (fabs x)) 2)))) (+ 1 (fabs x)))) (* 1/2 (/ (fabs x) (- 1 (fabs x))))))))
(+.f32 (+.f32 (log1p.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x))) (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) (*.f32 (*.f32 x x) (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 2 binary32) (*.f32 (fabs.f32 x) #s(literal 1/2 binary32)))) (pow.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))))) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 (-.f32 #s(literal 2 binary32) (*.f32 (fabs.f32 x) #s(literal 1/2 binary32))) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))))
(+ (log (- 1 (fabs x))) (+ (log (/ (+ 1 (fabs x)) (- 1 (fabs x)))) (* (pow x 2) (- (+ (* 2 (/ 1 (- 1 (fabs x)))) (+ (* (pow x 2) (+ (* 1/24 (+ (* -24 (/ (* (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (- 1 (fabs x)) 2))) (+ (* 1/8 (/ 1 (- 1 (fabs x)))) (/ (* (- 2 (* 1/2 (fabs x))) (- (* 1/2 (/ 1 (- 1 (fabs x)))) (/ (* (+ 1 (fabs x)) (- 2 (* 1/2 (fabs x)))) (pow (- 1 (fabs x)) 2)))) (- 1 (fabs x))))) (- 1 (fabs x))) (+ 1 (fabs x)))) (* -12 (/ (* (pow (- 1 (fabs x)) 2) (pow (- (* 1/2 (/ 1 (- 1 (fabs x)))) (/ (* (+ 1 (fabs x)) (- 2 (* 1/2 (fabs x)))) (pow (- 1 (fabs x)) 2))) 2)) (pow (+ 1 (fabs x)) 2))))) (* 1/24 (+ (* -12 (/ (pow (- 2 (* 1/2 (fabs x))) 2) (pow (- 1 (fabs x)) 2))) (* 3 (/ (fabs x) (- 1 (fabs x)))))))) (/ (* (- 1 (fabs x)) (- (* 1/2 (/ 1 (- 1 (fabs x)))) (/ (* (+ 1 (fabs x)) (- 2 (* 1/2 (fabs x)))) (pow (- 1 (fabs x)) 2)))) (+ 1 (fabs x))))) (* 1/2 (/ (fabs x) (- 1 (fabs x))))))))
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(* x (+ (fabs x) (* 1/2 (/ (fabs x) (pow x 2)))))
(*.f32 x (+.f32 (fabs.f32 x) (/.f32 (*.f32 (fabs.f32 x) #s(literal 1/2 binary32)) (*.f32 x x))))
(* x (+ (fabs x) (+ (* -1/8 (/ (fabs x) (pow x 4))) (* 1/2 (/ (fabs x) (pow x 2))))))
(*.f32 x (+.f32 (/.f32 (*.f32 (fabs.f32 x) #s(literal 1/2 binary32)) (*.f32 x x)) (+.f32 (/.f32 (*.f32 (fabs.f32 x) #s(literal -1/8 binary32)) (pow.f32 x #s(literal 4 binary32))) (fabs.f32 x))))
(* x (+ (fabs x) (+ (* -1/8 (/ (fabs x) (pow x 4))) (+ (* 1/16 (/ (fabs x) (pow x 6))) (* 1/2 (/ (fabs x) (pow x 2)))))))
(*.f32 x (+.f32 (+.f32 (/.f32 (*.f32 (fabs.f32 x) #s(literal 1/2 binary32)) (*.f32 x x)) (+.f32 (/.f32 (*.f32 (fabs.f32 x) #s(literal -1/8 binary32)) (pow.f32 x #s(literal 4 binary32))) (fabs.f32 x))) (/.f32 (*.f32 #s(literal 1/16 binary32) (fabs.f32 x)) (pow.f32 x #s(literal 6 binary32)))))
(* -1 (* x (fabs x)))
(*.f32 x (-.f32 #s(literal 0 binary32) (fabs.f32 x)))
(* -1 (* x (+ (fabs x) (* 1/2 (/ (fabs x) (pow x 2))))))
(*.f32 (+.f32 (fabs.f32 x) (/.f32 (*.f32 (fabs.f32 x) #s(literal 1/2 binary32)) (*.f32 x x))) (neg.f32 x))
(* -1 (* x (+ (fabs x) (+ (* -1/8 (/ (fabs x) (pow x 4))) (* 1/2 (/ (fabs x) (pow x 2)))))))
(*.f32 (neg.f32 x) (+.f32 (/.f32 (*.f32 (fabs.f32 x) #s(literal 1/2 binary32)) (*.f32 x x)) (+.f32 (/.f32 (*.f32 (fabs.f32 x) #s(literal -1/8 binary32)) (pow.f32 x #s(literal 4 binary32))) (fabs.f32 x))))
(* -1 (* x (+ (fabs x) (+ (* -1/8 (/ (fabs x) (pow x 4))) (+ (* 1/16 (/ (fabs x) (pow x 6))) (* 1/2 (/ (fabs x) (pow x 2))))))))
(*.f32 (neg.f32 x) (+.f32 (+.f32 (/.f32 (*.f32 (fabs.f32 x) #s(literal 1/2 binary32)) (*.f32 x x)) (+.f32 (/.f32 (*.f32 (fabs.f32 x) #s(literal -1/8 binary32)) (pow.f32 x #s(literal 4 binary32))) (fabs.f32 x))) (/.f32 (*.f32 #s(literal 1/16 binary32) (fabs.f32 x)) (pow.f32 x #s(literal 6 binary32)))))
(pow x 4)
(pow.f32 x #s(literal 4 binary32))
(pow x 4)
(pow.f32 x #s(literal 4 binary32))
(pow x 4)
(pow.f32 x #s(literal 4 binary32))
(pow x 4)
(pow.f32 x #s(literal 4 binary32))
(pow x 4)
(pow.f32 x #s(literal 4 binary32))
(pow x 4)
(pow.f32 x #s(literal 4 binary32))
(pow x 4)
(pow.f32 x #s(literal 4 binary32))
(pow x 4)
(pow.f32 x #s(literal 4 binary32))
(pow x 4)
(pow.f32 x #s(literal 4 binary32))
(pow x 4)
(pow.f32 x #s(literal 4 binary32))
(pow x 4)
(pow.f32 x #s(literal 4 binary32))
(pow x 4)
(pow.f32 x #s(literal 4 binary32))
(* 1/2 (pow x 2))
(*.f32 (*.f32 x x) #s(literal 1/2 binary32))
(* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))
(*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32))))
(* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))
(*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32))))
(* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))
(*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32))))
(* -1/8 (pow x 4))
(*.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
(*.f32 (pow.f32 x #s(literal 4 binary32)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal -1/8 binary32)))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
(*.f32 (pow.f32 x #s(literal 4 binary32)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal -1/8 binary32)))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
(*.f32 (pow.f32 x #s(literal 4 binary32)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal -1/8 binary32)))
(* -1/8 (pow x 4))
(*.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
(*.f32 (pow.f32 x #s(literal 4 binary32)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal -1/8 binary32)))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
(*.f32 (pow.f32 x #s(literal 4 binary32)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal -1/8 binary32)))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
(*.f32 (pow.f32 x #s(literal 4 binary32)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal -1/8 binary32)))
1
#s(literal 1 binary32)
(+ 1 (pow x 3))
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))
(+ 1 (pow x 3))
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))
(+ 1 (pow x 3))
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))
(pow x 3)
(*.f32 x (*.f32 x x))
(* (pow x 3) (+ 1 (/ 1 (pow x 3))))
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))
(* (pow x 3) (+ 1 (/ 1 (pow x 3))))
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))
(* (pow x 3) (+ 1 (/ 1 (pow x 3))))
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))
(pow x 3)
(*.f32 x (*.f32 x x))
(* (pow x 3) (+ 1 (/ 1 (pow x 3))))
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))
(* (pow x 3) (+ 1 (/ 1 (pow x 3))))
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))
(* (pow x 3) (+ 1 (/ 1 (pow x 3))))
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(* x (fabs x))
(*.f32 x (fabs.f32 x))
(* x (fabs x))
(*.f32 x (fabs.f32 x))
(* x (fabs x))
(*.f32 x (fabs.f32 x))
(* x (fabs x))
(*.f32 x (fabs.f32 x))
(* x (fabs x))
(*.f32 x (fabs.f32 x))
(* x (fabs x))
(*.f32 x (fabs.f32 x))
(* x (fabs x))
(*.f32 x (fabs.f32 x))
(* x (fabs x))
(*.f32 x (fabs.f32 x))
(* x (fabs x))
(*.f32 x (fabs.f32 x))
(* x (fabs x))
(*.f32 x (fabs.f32 x))
(* x (fabs x))
(*.f32 x (fabs.f32 x))
(* x (fabs x))
(*.f32 x (fabs.f32 x))
(/ -1/8 (pow x 4))
(/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))
(/ (- (* 1/2 (pow x 2)) 1/8) (pow x 4))
(/.f32 (+.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) #s(literal -1/8 binary32)) (pow.f32 x #s(literal 4 binary32)))
(/ (- (* (pow x 2) (+ 1/2 (* -1 (* x (fabs x))))) 1/8) (pow x 4))
(/.f32 (+.f32 (*.f32 x (*.f32 x (-.f32 #s(literal 1/2 binary32) (*.f32 x (fabs.f32 x))))) #s(literal -1/8 binary32)) (pow.f32 x #s(literal 4 binary32)))
(/ (- (* (pow x 2) (+ 1/2 (* x (- x (fabs x))))) 1/8) (pow x 4))
(/.f32 (+.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 x (-.f32 x (fabs.f32 x))))) #s(literal -1/8 binary32)) (pow.f32 x #s(literal 4 binary32)))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ (fabs x) x)))
(-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) x))
(- (+ 1 (/ 1/2 (pow x 2))) (/ (fabs x) x))
(-.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (/.f32 (fabs.f32 x) x))
(- (+ 1 (/ 1/2 (pow x 2))) (+ (* 1/8 (/ 1 (pow x 4))) (/ (fabs x) x)))
(-.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (+.f32 (/.f32 (fabs.f32 x) x) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ (fabs x) x)))
(-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) x))
(+ 1 (+ (* -1 (/ (fabs x) x)) (/ 1/2 (pow x 2))))
(-.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (/.f32 (fabs.f32 x) x))
(+ 1 (* -1 (/ (- (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) (* -1 (fabs x))) x)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)) x))
(/ -1/8 (pow x 3))
(/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x)))
(/ (- (* 1/2 (pow x 2)) 1/8) (pow x 3))
(-.f32 (*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) x)) (/.f32 #s(literal 1/8 binary32) (*.f32 x (*.f32 x x))))
(/ (- (* 1/2 (pow x 2)) 1/8) (pow x 3))
(-.f32 (*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) x)) (/.f32 #s(literal 1/8 binary32) (*.f32 x (*.f32 x x))))
(/ (- (* 1/2 (pow x 2)) 1/8) (pow x 3))
(-.f32 (*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) x)) (/.f32 #s(literal 1/8 binary32) (*.f32 x (*.f32 x x))))
(/ 1/2 x)
(/.f32 #s(literal 1/2 binary32) x)
(/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)
(/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)
(/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)
(/ 1/2 x)
(/.f32 #s(literal 1/2 binary32) x)
(* -1 (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x))
(/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x)
(* -1 (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x))
(/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x)
(* -1 (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x))
(/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x)

eval115.0ms (1.4%)

Compiler

Compiled 37912 to 3150 computations (91.7% saved)

prune132.0ms (1.6%)

Pruning

24 alts after pruning (20 fresh and 4 done)

PrunedKeptTotal
New8389847
Fresh111122
Picked325
Done123
Total85324877
Accuracy
100.0%
Counts
877 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
37.8%
(copysign.f32 (+.f32 (log1p.f32 (+.f32 (*.f32 x x) (/.f32 (-.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (*.f32 x x)))) (+.f32 (*.f32 x x) (*.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)))))) (log.f32 (/.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)) (+.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)) (-.f32 (*.f32 x x) (*.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))))))) x)
55.1%
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal -1/6 binary32))))) x)
▶55.2%
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) x)
8.1%
(copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (-.f32 (*.f32 x x) (*.f32 x (*.f32 x x))))))) (-.f32 #s(literal 1 binary32) (*.f32 x x))))) x)
14.1%
(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))))) x)
▶51.4%
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))) x)
▶7.9%
(copysign.f32 (log.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (+.f32 #s(literal 0 binary32) x))) x)
8.7%
(copysign.f32 (log.f32 (/.f32 (+.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x x) #s(literal -1/2 binary32))) (*.f32 x (*.f32 x x)))) x)
15.3%
(copysign.f32 (log.f32 (-.f32 (/.f32 (*.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x) x) x)) x)
30.9%
(copysign.f32 (log.f32 (-.f32 (fabs.f32 x) x)) x)
8.0%
(copysign.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (-.f32 (*.f32 x (*.f32 x x)) #s(literal 1 binary32))) (*.f32 (*.f32 x x) (+.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) x))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))))) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))) x)
16.1%
(copysign.f32 (log.f32 (+.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32)))))))) x)
24.3%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (pow.f32 (*.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)) (+.f32 (*.f32 x x) #s(literal 1 binary32))) #s(literal 1/4 binary32)))) x)
✓60.1%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
25.6%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (*.f32 x (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))))) x)
24.9%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (*.f32 x (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))))) x)
▶26.7%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) x)) x)
19.3%
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x #s(literal 1/2 binary32)))))) x)
19.7%
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) x)) x)
✓29.0%
(copysign.f32 (log.f32 (*.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)) x)))) x)
24.9%
(copysign.f32 (log.f32 (*.f32 x (+.f32 (/.f32 (fabs.f32 x) x) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))))) x)
✓14.4%
(copysign.f32 (log.f32 (neg.f32 x)) x)
✓12.2%
(copysign.f32 (log.f32 x) x)
▶55.5%
(copysign.f32 x x)
Compiler

Compiled 930 to 496 computations (46.7% saved)

simplify186.0ms (2.2%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fabs.f32 x)
✓cost-diff0
(+.f32 (fabs.f32 x) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))
✓cost-diff0
(log1p.f32 (+.f32 (fabs.f32 x) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32))))))
✓cost-diff0
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))) x)
✓cost-diff0
(fabs.f32 x)
✓cost-diff0
(+.f32 (fabs.f32 x) x)
✓cost-diff0
(log.f32 (+.f32 (fabs.f32 x) x))
✓cost-diff0
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) x)) x)
✓cost-diff64
(+.f32 #s(literal 0 binary32) x)
✓cost-diff224
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (+.f32 #s(literal 0 binary32) x))
✓cost-diff224
(log.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (+.f32 #s(literal 0 binary32) x)))
✓cost-diff224
(copysign.f32 (log.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (+.f32 #s(literal 0 binary32) x))) x)
✓cost-diff0
(*.f32 (*.f32 x x) #s(literal -1/6 binary32))
✓cost-diff0
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))
✓cost-diff0
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))
✓cost-diff0
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) x)
✓cost-diff0
(copysign.f32 x x)
Rules
1634×sum4-define
1558×sum3-define
1554×*-lowering-*.f32
1554×*-lowering-*.f64
1476×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
028149
173138
2216127
3800127
42442127
54252127
66218127
08148127
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(copysign x x)
x
(copysign (* x (+ 1 (* (* x x) -1/6))) x)
(* x (+ 1 (* (* x x) -1/6)))
x
(+ 1 (* (* x x) -1/6))
1
(* (* x x) -1/6)
(* x x)
-1/6
(copysign (log (/ (- 0 (* x x)) (+ 0 x))) x)
(log (/ (- 0 (* x x)) (+ 0 x)))
(/ (- 0 (* x x)) (+ 0 x))
(- 0 (* x x))
0
(* x x)
x
(+ 0 x)
(copysign (log (+ (fabs x) x)) x)
(log (+ (fabs x) x))
(+ (fabs x) x)
(fabs x)
x
(copysign (log (+ 1 (+ (fabs x) (* (* x x) (+ 1/2 (* (* x x) -1/8)))))) x)
(log (+ 1 (+ (fabs x) (* (* x x) (+ 1/2 (* (* x x) -1/8))))))
(+ (fabs x) (* (* x x) (+ 1/2 (* (* x x) -1/8))))
(fabs x)
x
(* (* x x) (+ 1/2 (* (* x x) -1/8)))
(* x x)
(+ 1/2 (* (* x x) -1/8))
1/2
(* (* x x) -1/8)
-1/8
Outputs
(copysign x x)
(copysign.f32 x x)
x
(copysign (* x (+ 1 (* (* x x) -1/6))) x)
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal -1/6 binary32))))) x)
(* x (+ 1 (* (* x x) -1/6)))
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal -1/6 binary32)))))
x
(+ 1 (* (* x x) -1/6))
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal -1/6 binary32))))
1
#s(literal 1 binary32)
(* (* x x) -1/6)
(*.f32 x (*.f32 x #s(literal -1/6 binary32)))
(* x x)
(*.f32 x x)
-1/6
#s(literal -1/6 binary32)
(copysign (log (/ (- 0 (* x x)) (+ 0 x))) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)
(log (/ (- 0 (* x x)) (+ 0 x)))
(log.f32 (neg.f32 x))
(/ (- 0 (* x x)) (+ 0 x))
(neg.f32 x)
(- 0 (* x x))
(-.f32 #s(literal 0 binary32) (*.f32 x x))
0
#s(literal 0 binary32)
(* x x)
(*.f32 x x)
x
(+ 0 x)
x
(copysign (log (+ (fabs x) x)) x)
(copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)
(log (+ (fabs x) x))
(log.f32 (+.f32 x (fabs.f32 x)))
(+ (fabs x) x)
(+.f32 x (fabs.f32 x))
(fabs x)
(fabs.f32 x)
x
(copysign (log (+ 1 (+ (fabs x) (* (* x x) (+ 1/2 (* (* x x) -1/8)))))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))) x)
(log (+ 1 (+ (fabs x) (* (* x x) (+ 1/2 (* (* x x) -1/8))))))
(log1p.f32 (+.f32 (fabs.f32 x) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32))))))
(+ (fabs x) (* (* x x) (+ 1/2 (* (* x x) -1/8))))
(+.f32 (fabs.f32 x) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))
(fabs x)
(fabs.f32 x)
x
(* (* x x) (+ 1/2 (* (* x x) -1/8)))
(*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32))))
(* x x)
(*.f32 x x)
(+ 1/2 (* (* x x) -1/8))
(+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))
1/2
#s(literal 1/2 binary32)
(* (* x x) -1/8)
(*.f32 (*.f32 x x) #s(literal -1/8 binary32))
-1/8
#s(literal -1/8 binary32)

localize179.0ms (2.1%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f32 (*.f32 x x) #s(literal -1/8 binary32))
✓accuracy100.0%
(*.f32 x x)
✓accuracy100.0%
(log1p.f32 (+.f32 (fabs.f32 x) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32))))))
✓accuracy100.0%
(fabs.f32 x)
✓accuracy100.0%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) x)) x)
✓accuracy100.0%
(+.f32 (fabs.f32 x) x)
✓accuracy100.0%
(log.f32 (+.f32 (fabs.f32 x) x))
✓accuracy100.0%
(fabs.f32 x)
✓accuracy100.0%
(-.f32 #s(literal 0 binary32) (*.f32 x x))
✓accuracy100.0%
(+.f32 #s(literal 0 binary32) x)
✓accuracy100.0%
(*.f32 x x)
✓accuracy100.0%
(log.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (+.f32 #s(literal 0 binary32) x)))
✓accuracy100.0%
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))
✓accuracy100.0%
(*.f32 (*.f32 x x) #s(literal -1/6 binary32))
✓accuracy100.0%
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))
✓accuracy100.0%
(*.f32 x x)
✓accuracy100.0%
(copysign.f32 x x)
Results
96.0ms256×0invalid
Compiler

Compiled 184 to 28 computations (84.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-copysign: 11.0ms (21.1% of total)
ival-mult: 10.0ms (19.2% of total)
ival-add: 9.0ms (17.3% of total)
ival-log: 7.0ms (13.4% of total)
compiled-spec: 5.0ms (9.6% of total)
...c/correct-round.rkt:119:19: 4.0ms (7.7% of total)
ival-div: 2.0ms (3.8% of total)
ival-fabs: 1.0ms (1.9% of total)
ival-sub: 1.0ms (1.9% of total)
const: 1.0ms (1.9% of total)
backward-pass: 0.0ms (0% of total)

series14.0ms (0.2%)

Counts
19 → 228
Calls
Call 1
Inputs
#<alt (copysign x x)>
#<alt (copysign (* x (+ 1 (* (* x x) -1/6))) x)>
#<alt (* x (+ 1 (* (* x x) -1/6)))>
#<alt (+ 1 (* (* x x) -1/6))>
#<alt (* (* x x) -1/6)>
#<alt (copysign (log (/ (- 0 (* x x)) (+ 0 x))) x)>
#<alt (log (/ (- 0 (* x x)) (+ 0 x)))>
#<alt (/ (- 0 (* x x)) (+ 0 x))>
#<alt (+ 0 x)>
#<alt (copysign (log (+ (fabs x) x)) x)>
#<alt (log (+ (fabs x) x))>
#<alt (+ (fabs x) x)>
#<alt (fabs x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* (* x x) (+ 1/2 (* (* x x) -1/8)))))) x)>
#<alt (log (+ 1 (+ (fabs x) (* (* x x) (+ 1/2 (* (* x x) -1/8))))))>
#<alt (+ (fabs x) (* (* x x) (+ 1/2 (* (* x x) -1/8))))>
#<alt (* x x)>
#<alt (- 0 (* x x))>
#<alt (* (* x x) -1/8)>
Outputs
#<alt (copysign x x)>
#<alt (copysign x x)>
#<alt (copysign x x)>
#<alt (copysign x x)>
#<alt (copysign x x)>
#<alt (copysign x x)>
#<alt (copysign x x)>
#<alt (copysign x x)>
#<alt (copysign x x)>
#<alt (copysign x x)>
#<alt (copysign x x)>
#<alt (copysign x x)>
#<alt (copysign (* x (+ 1 (* -1/6 (pow x 2)))) x)>
#<alt (copysign (* x (+ 1 (* -1/6 (pow x 2)))) x)>
#<alt (copysign (* x (+ 1 (* -1/6 (pow x 2)))) x)>
#<alt (copysign (* x (+ 1 (* -1/6 (pow x 2)))) x)>
#<alt (copysign (* x (- 1 (* 1/6 (pow x 2)))) x)>
#<alt (copysign (* x (- 1 (* 1/6 (pow x 2)))) x)>
#<alt (copysign (* x (- 1 (* 1/6 (pow x 2)))) x)>
#<alt (copysign (* x (- 1 (* 1/6 (pow x 2)))) x)>
#<alt (copysign (* x (- 1 (* 1/6 (pow x 2)))) x)>
#<alt (copysign (* x (- 1 (* 1/6 (pow x 2)))) x)>
#<alt (copysign (* x (- 1 (* 1/6 (pow x 2)))) x)>
#<alt (copysign (* x (- 1 (* 1/6 (pow x 2)))) x)>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* -1/6 (pow x 3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow x 2)))>
#<alt (+ 1 (* -1/6 (pow x 2)))>
#<alt (+ 1 (* -1/6 (pow x 2)))>
#<alt (* -1/6 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* -1/6 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (copysign (log (* -1 x)) x)>
#<alt (copysign (log (* -1 x)) x)>
#<alt (copysign (log (* -1 x)) x)>
#<alt (copysign (log (* -1 x)) x)>
#<alt (copysign (log (* -1 x)) x)>
#<alt (copysign (log (* -1 x)) x)>
#<alt (copysign (log (* -1 x)) x)>
#<alt (copysign (log (* -1 x)) x)>
#<alt (copysign (log (* -1 x)) x)>
#<alt (copysign (log (* -1 x)) x)>
#<alt (copysign (log (* -1 x)) x)>
#<alt (copysign (log (* -1 x)) x)>
#<alt (+ (log -1) (log x))>
#<alt (+ (log -1) (log x))>
#<alt (+ (log -1) (log x))>
#<alt (+ (log -1) (log x))>
#<alt (+ (log -1) (* -1 (log (/ 1 x))))>
#<alt (+ (log -1) (* -1 (log (/ 1 x))))>
#<alt (+ (log -1) (* -1 (log (/ 1 x))))>
#<alt (+ (log -1) (* -1 (log (/ 1 x))))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (copysign (log (+ x (fabs x))) x)>
#<alt (copysign (log (+ x (fabs x))) x)>
#<alt (copysign (log (+ x (fabs x))) x)>
#<alt (copysign (log (+ x (fabs x))) x)>
#<alt (copysign (log (+ x (fabs x))) x)>
#<alt (copysign (log (+ x (fabs x))) x)>
#<alt (copysign (log (+ x (fabs x))) x)>
#<alt (copysign (log (+ x (fabs x))) x)>
#<alt (copysign (log (- (fabs x) (* -1 x))) x)>
#<alt (copysign (log (- (fabs x) (* -1 x))) x)>
#<alt (copysign (log (- (fabs x) (* -1 x))) x)>
#<alt (copysign (log (- (fabs x) (* -1 x))) x)>
#<alt (log (fabs x))>
#<alt (+ (log (fabs x)) (/ x (fabs x)))>
#<alt (+ (log (fabs x)) (* x (+ (* -1/2 (/ x (pow (fabs x) 2))) (/ 1 (fabs x)))))>
#<alt (+ (log (fabs x)) (* x (+ (* x (- (* 1/3 (/ x (pow (fabs x) 3))) (* 1/2 (/ 1 (pow (fabs x) 2))))) (/ 1 (fabs x)))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))>
#<alt (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow (fabs x) 2) (pow x 2))) (/ (fabs x) x)))>
#<alt (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow (fabs x) 2) (pow x 2))) (+ (* 1/3 (/ (pow (fabs x) 3) (pow x 3))) (/ (fabs x) x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ (fabs x) x)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* 1/2 (/ (pow (fabs x) 2) x))) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/2 (pow (fabs x) 2)) (* 1/3 (/ (pow (fabs x) 3) x))) x))) x))))>
#<alt (fabs x)>
#<alt (+ x (fabs x))>
#<alt (+ x (fabs x))>
#<alt (+ x (fabs x))>
#<alt x>
#<alt (* x (+ 1 (/ (fabs x) x)))>
#<alt (* x (+ 1 (/ (fabs x) x)))>
#<alt (* x (+ 1 (/ (fabs x) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))) x)>
#<alt (copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)>
#<alt (copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)>
#<alt (copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)>
#<alt (copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)>
#<alt (copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)>
#<alt (copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)>
#<alt (copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)>
#<alt (copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)>
#<alt (log (+ 1 (fabs x)))>
#<alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))>
#<alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
#<alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3)))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
#<alt (+ (log -1/8) (* -4 (log (/ 1 x))))>
#<alt (- (+ (log -1/8) (* -4 (log (/ 1 x)))) (* 4 (/ 1 (pow x 2))))>
#<alt (- (+ (log -1/8) (+ (* -4 (log (/ 1 x))) (* 1/24 (/ (- (* -192 (+ 1 (fabs x))) 192) (pow x 4))))) (* 4 (/ 1 (pow x 2))))>
#<alt (- (+ (log -1/8) (+ (* -4 (log (/ 1 x))) (+ (* 1/720 (/ (- (* -23040 (+ 1 (fabs x))) 15360) (pow x 6))) (* 1/24 (/ (- (* -192 (+ 1 (fabs x))) 192) (pow x 4)))))) (* 4 (/ 1 (pow x 2))))>
#<alt (+ (log -1/8) (* -4 (log (/ -1 x))))>
#<alt (- (+ (log -1/8) (* -4 (log (/ -1 x)))) (* 4 (/ 1 (pow x 2))))>
#<alt (- (+ (log -1/8) (+ (* -4 (log (/ -1 x))) (* 1/24 (/ (- (* -192 (+ 1 (fabs x))) 192) (pow x 4))))) (* 4 (/ 1 (pow x 2))))>
#<alt (- (+ (log -1/8) (+ (* -4 (log (/ -1 x))) (+ (* 1/720 (/ (- (* -23040 (+ 1 (fabs x))) 15360) (pow x 6))) (* 1/24 (/ (- (* -192 (+ 1 (fabs x))) 192) (pow x 4)))))) (* 4 (/ 1 (pow x 2))))>
#<alt (fabs x)>
#<alt (+ (fabs x) (* 1/2 (pow x 2)))>
#<alt (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))>
#<alt (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))>
#<alt (* -1/8 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))>
#<alt (* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) (pow x 4))) 1/8))>
#<alt (* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) (pow x 4))) 1/8))>
#<alt (* -1/8 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))>
#<alt (* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) (pow x 4))) 1/8))>
#<alt (* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) (pow x 4))) 1/8))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1/8 (pow x 2))>
#<alt (* -1/8 (pow x 2))>
#<alt (* -1/8 (pow x 2))>
#<alt (* -1/8 (pow x 2))>
#<alt (* -1/8 (pow x 2))>
#<alt (* -1/8 (pow x 2))>
#<alt (* -1/8 (pow x 2))>
#<alt (* -1/8 (pow x 2))>
#<alt (* -1/8 (pow x 2))>
#<alt (* -1/8 (pow x 2))>
#<alt (* -1/8 (pow x 2))>
#<alt (* -1/8 (pow x 2))>
Calls

57 calls:

TimeVariablePointExpression
7.0ms
x
@0
(log (/ (- 0 (* x x)) (+ 0 x)))
1.0ms
x
@0
(* x (+ 1 (* (* x x) -1/6)))
0.0ms
x
@inf
(* x (+ 1 (* (* x x) -1/6)))
0.0ms
x
@inf
(* (* x x) -1/6)
0.0ms
x
@0
(log (+ (fabs x) x))

rewrite397.0ms (4.7%)

Algorithm
1×batch-egg-rewrite
Rules
3280×*-lowering-*.f32
3280×*-lowering-*.f64
2262×+-lowering-+.f64
2262×+-lowering-+.f32
2250×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
028117
116799
2174191
0911891
Stop Event
1×iter limit
1×node limit
Counts
19 → 652
Calls
Call 1
Inputs
(copysign x x)
(copysign (* x (+ 1 (* (* x x) -1/6))) x)
(* x (+ 1 (* (* x x) -1/6)))
(+ 1 (* (* x x) -1/6))
(* (* x x) -1/6)
(copysign (log (/ (- 0 (* x x)) (+ 0 x))) x)
(log (/ (- 0 (* x x)) (+ 0 x)))
(/ (- 0 (* x x)) (+ 0 x))
(+ 0 x)
(copysign (log (+ (fabs x) x)) x)
(log (+ (fabs x) x))
(+ (fabs x) x)
(fabs x)
(copysign (log (+ 1 (+ (fabs x) (* (* x x) (+ 1/2 (* (* x x) -1/8)))))) x)
(log (+ 1 (+ (fabs x) (* (* x x) (+ 1/2 (* (* x x) -1/8))))))
(+ (fabs x) (* (* x x) (+ 1/2 (* (* x x) -1/8))))
(* x x)
(- 0 (* x x))
(* (* x x) -1/8)
Outputs
(copysign.f32 x x)
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal -1/6 binary32))))) x)
(+.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))))
(+.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal -1/6 binary32))))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) #s(literal 0 binary32)))
(+.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal -1/6 binary32))))) (*.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal -1/6 binary32))))))
(+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) x)
(+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) #s(literal 0 binary32)) (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal -1/6 binary32))))))
(+.f32 (*.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal -1/6 binary32))))) (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal -1/6 binary32))))))
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(*.f32 (-.f32 (*.f32 x x) (*.f32 x (*.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32))))))) (/.f32 #s(literal 1 binary32) (-.f32 x (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))))
(neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)))
(exp.f32 (*.f32 (log.f32 x) #s(literal 2 binary32)))
(+.f32 (*.f32 x x) #s(literal 0 binary32))
(+.f32 (*.f32 x x) (+.f32 (*.f32 (neg.f32 x) #s(literal 0 binary32)) #s(literal 0 binary32)))
(+.f32 #s(literal 0 binary32) (*.f32 x x))
(fabs.f32 (*.f32 x x))
(fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)))
(fabs.f32 (-.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) #s(literal 0 binary32)))
(fabs.f32 (-.f32 (*.f32 x x) (/.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))
(fabs.f32 (-.f32 (*.f32 x x) (/.f32 #s(literal 0 binary32) (*.f32 x x))))
(pow.f32 x #s(literal 2 binary32))
(pow.f32 (*.f32 x x) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (neg.f32 x)) #s(literal -2 binary32))
(pow.f32 (neg.f32 x) #s(literal 2 binary32))
(pow.f32 (*.f32 (/.f32 #s(literal 1 binary32) (neg.f32 x)) (/.f32 #s(literal 1 binary32) (neg.f32 x))) #s(literal -1 binary32))
(fma.f32 x x #s(literal 0 binary32))
(fma.f32 x x (+.f32 (*.f32 (neg.f32 x) #s(literal 0 binary32)) #s(literal 0 binary32)))
(fma.f32 x #s(literal 0 binary32) (*.f32 x x))
(fma.f32 #s(literal 0 binary32) x (*.f32 x x))
(fma.f32 (neg.f32 x) (neg.f32 x) #s(literal 0 binary32))
(fma.f32 (neg.f32 x) (neg.f32 x) (+.f32 (*.f32 (neg.f32 x) #s(literal 0 binary32)) #s(literal 0 binary32)))
(fma.f32 #s(literal -1 binary32) (-.f32 #s(literal 0 binary32) (*.f32 x x)) #s(literal 0 binary32))
(fma.f32 #s(literal -1 binary32) (-.f32 #s(literal 0 binary32) (*.f32 x x)) (+.f32 (*.f32 (neg.f32 x) #s(literal 0 binary32)) #s(literal 0 binary32)))
(-.f32 (*.f32 x x) #s(literal 0 binary32))
(-.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (fabs.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (*.f32 x (*.f32 x (*.f32 x x)))))))
(/.f32 #s(literal 1 binary32) (fabs.f32 (/.f32 (*.f32 x x) (neg.f32 (*.f32 x (*.f32 x (*.f32 x x)))))))
(/.f32 (*.f32 x (*.f32 x x)) x)
(/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x (*.f32 x x))))
(/.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (*.f32 x (*.f32 x (*.f32 x x)))) (neg.f32 (*.f32 x (*.f32 x (*.f32 x x)))))
(/.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 x x))
(/.f32 (neg.f32 (*.f32 x (*.f32 x (*.f32 x x)))) (-.f32 #s(literal 0 binary32) (*.f32 x x)))
(/.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (*.f32 x (*.f32 x x))) (*.f32 #s(literal -1 binary32) (*.f32 x (*.f32 x x))))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) (-.f32 #s(literal 0 binary32) (*.f32 x x))) (*.f32 #s(literal -1 binary32) (*.f32 x (*.f32 x x))))
(/.f32 (neg.f32 (neg.f32 (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 x x))
(/.f32 (+.f32 #s(literal 0 binary32) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 x (*.f32 x (*.f32 x x))))
(/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) #s(literal 0 binary32)) (*.f32 x (*.f32 x (*.f32 x x))))
(/.f32 (*.f32 x (-.f32 #s(literal 0 binary32) (*.f32 x x))) (neg.f32 x))
(/.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) x) (neg.f32 x))
(/.f32 (fabs.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 x (*.f32 x (*.f32 x x))))
(/.f32 (fabs.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (*.f32 x (*.f32 x (*.f32 x x))))) (fabs.f32 (neg.f32 (*.f32 x (*.f32 x (*.f32 x x))))))
(/.f32 (fabs.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (*.f32 x (*.f32 x (*.f32 x x))))) (fabs.f32 (+.f32 #s(literal 0 binary32) (-.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (*.f32 x x)))))))
(/.f32 (fabs.f32 (neg.f32 (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 x x))
(/.f32 (fabs.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 x (*.f32 x (*.f32 x x))))
(/.f32 (fabs.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) (fabs.f32 (neg.f32 (*.f32 x (*.f32 x (*.f32 x x))))))
(/.f32 (fabs.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x)))
(/.f32 (fabs.f32 (*.f32 (*.f32 x (*.f32 x x)) (-.f32 #s(literal 0 binary32) (*.f32 x x)))) (*.f32 x (*.f32 x x)))
(/.f32 (fabs.f32 (neg.f32 (neg.f32 (*.f32 x (*.f32 x (*.f32 x x)))))) (*.f32 x x))
(/.f32 (fabs.f32 (+.f32 #s(literal 0 binary32) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))))) (*.f32 x (*.f32 x (*.f32 x x))))
(/.f32 (fabs.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) #s(literal 0 binary32))) (*.f32 x (*.f32 x (*.f32 x x))))
(/.f32 (fabs.f32 (*.f32 (neg.f32 x) (*.f32 x (*.f32 x x)))) (*.f32 x x))
(*.f32 x x)
(*.f32 #s(literal 1 binary32) (*.f32 x x))
(*.f32 (*.f32 x x) #s(literal 1 binary32))
(*.f32 (*.f32 x x) (pow.f32 (/.f32 x x) #s(literal 2 binary32)))
(*.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 2 binary32)))
(*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (pow.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 2 binary32)))
(*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (pow.f32 (/.f32 #s(literal 1 binary32) (neg.f32 x)) #s(literal 2 binary32)))
(*.f32 (neg.f32 x) (neg.f32 x))
(*.f32 #s(literal -1 binary32) (-.f32 #s(literal 0 binary32) (*.f32 x x)))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 2 binary32)) (*.f32 x (*.f32 x (*.f32 x x))))
(*.f32 (pow.f32 (/.f32 (*.f32 x x) (-.f32 #s(literal 0 binary32) (*.f32 x x))) #s(literal 2 binary32)) (*.f32 x x))
(*.f32 (fabs.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (*.f32 x (*.f32 x (*.f32 x x))))) (fabs.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))
(*.f32 (fabs.f32 (neg.f32 (*.f32 x (*.f32 x (*.f32 x x))))) (fabs.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x))))
(neg.f32 (*.f32 x x))
(+.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (*.f32 x x)))
(+.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) #s(literal 0 binary32))
(+.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (*.f32 (neg.f32 x) #s(literal 0 binary32)))
(+.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (*.f32 #s(literal 0 binary32) (neg.f32 x)))
(+.f32 (*.f32 (neg.f32 x) #s(literal 0 binary32)) (-.f32 #s(literal 0 binary32) (*.f32 x x)))
(+.f32 (*.f32 #s(literal 0 binary32) (neg.f32 x)) (-.f32 #s(literal 0 binary32) (*.f32 x x)))
(pow.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (*.f32 x (*.f32 x (*.f32 x x))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 x x) (neg.f32 (*.f32 x (*.f32 x (*.f32 x x))))) #s(literal -1 binary32))
(fma.f32 x (neg.f32 x) #s(literal 0 binary32))
(fma.f32 x (neg.f32 x) (*.f32 (neg.f32 x) #s(literal 0 binary32)))
(fma.f32 x (neg.f32 x) (*.f32 #s(literal 0 binary32) (neg.f32 x)))
(fma.f32 #s(literal 0 binary32) (neg.f32 x) (-.f32 #s(literal 0 binary32) (*.f32 x x)))
(fma.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (*.f32 x (*.f32 x (*.f32 x x)))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x x)))) #s(literal 0 binary32))
(fma.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (*.f32 x (*.f32 x (*.f32 x x)))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 (neg.f32 x) #s(literal 0 binary32)))
(fma.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (*.f32 x (*.f32 x (*.f32 x x)))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 #s(literal 0 binary32) (neg.f32 x)))
(fma.f32 (neg.f32 x) x #s(literal 0 binary32))
(fma.f32 (neg.f32 x) x (*.f32 (neg.f32 x) #s(literal 0 binary32)))
(fma.f32 (neg.f32 x) x (*.f32 #s(literal 0 binary32) (neg.f32 x)))
(fma.f32 (neg.f32 x) #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (*.f32 x x)))
(fma.f32 (neg.f32 (*.f32 x (*.f32 x (*.f32 x x)))) (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 0 binary32))
(fma.f32 (neg.f32 (*.f32 x (*.f32 x (*.f32 x x)))) (/.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 (neg.f32 x) #s(literal 0 binary32)))
(fma.f32 (neg.f32 (*.f32 x (*.f32 x (*.f32 x x)))) (/.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 #s(literal 0 binary32) (neg.f32 x)))
(fma.f32 #s(literal -1 binary32) (*.f32 x x) #s(literal 0 binary32))
(fma.f32 #s(literal -1 binary32) (*.f32 x x) (*.f32 (neg.f32 x) #s(literal 0 binary32)))
(fma.f32 #s(literal -1 binary32) (*.f32 x x) (*.f32 #s(literal 0 binary32) (neg.f32 x)))
(-.f32 #s(literal 0 binary32) (*.f32 x x))
(-.f32 (/.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x x))
(-.f32 (/.f32 #s(literal 0 binary32) (*.f32 x x)) (*.f32 x x))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (*.f32 x (*.f32 x (*.f32 x x))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) (neg.f32 (*.f32 x (*.f32 x (*.f32 x x))))))
(/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (neg.f32 (*.f32 x (*.f32 x (*.f32 x x)))))
(/.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x (*.f32 x x))))
(/.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (*.f32 x (*.f32 x (*.f32 x x)))) (+.f32 #s(literal 0 binary32) (-.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (*.f32 x x))))))
(/.f32 (neg.f32 (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x x))
(/.f32 (neg.f32 (neg.f32 (*.f32 x (*.f32 x (*.f32 x x))))) (-.f32 #s(literal 0 binary32) (*.f32 x x)))
(/.f32 (*.f32 (neg.f32 x) (-.f32 #s(literal 0 binary32) (*.f32 x x))) (neg.f32 x))
(/.f32 (*.f32 (neg.f32 x) (*.f32 x (*.f32 x x))) (*.f32 x x))
(/.f32 (-.f32 #s(literal 0 binary32) (-.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) #s(literal 0 binary32))) (*.f32 x (*.f32 x (*.f32 x x))))
(/.f32 (-.f32 #s(literal 0 binary32) (neg.f32 (neg.f32 (*.f32 x (*.f32 x (*.f32 x x)))))) (*.f32 x x))
(*.f32 x (neg.f32 x))
(*.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (*.f32 x (*.f32 x (*.f32 x x)))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x x)))))
(*.f32 (neg.f32 x) x)
(*.f32 (neg.f32 (*.f32 x (*.f32 x (*.f32 x x)))) (/.f32 #s(literal 1 binary32) (*.f32 x x)))
(*.f32 #s(literal -1 binary32) (*.f32 x x))
(/.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x x))
(/.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (*.f32 x #s(literal -1/8 binary32))) (neg.f32 x))
(*.f32 x (*.f32 x #s(literal -1/8 binary32)))
(*.f32 (*.f32 x x) #s(literal -1/8 binary32))
(*.f32 #s(literal -1/8 binary32) (*.f32 x x))
(*.f32 (*.f32 x #s(literal -1/8 binary32)) x)

simplify288.0ms (3.4%)

Algorithm
1×egg-herbie
Rules
4708×*-lowering-*.f32
4708×*-lowering-*.f64
2128×fma-lowering-fma.f32
2128×fma-lowering-fma.f64
1702×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02061696
15891457
218811384
376501384
081281384
Stop Event
1×iter limit
1×node limit
Counts
228 → 228
Calls
Call 1
Inputs
(copysign x x)
(copysign x x)
(copysign x x)
(copysign x x)
(copysign x x)
(copysign x x)
(copysign x x)
(copysign x x)
(copysign x x)
(copysign x x)
(copysign x x)
(copysign x x)
(copysign (* x (+ 1 (* -1/6 (pow x 2)))) x)
(copysign (* x (+ 1 (* -1/6 (pow x 2)))) x)
(copysign (* x (+ 1 (* -1/6 (pow x 2)))) x)
(copysign (* x (+ 1 (* -1/6 (pow x 2)))) x)
(copysign (* x (- 1 (* 1/6 (pow x 2)))) x)
(copysign (* x (- 1 (* 1/6 (pow x 2)))) x)
(copysign (* x (- 1 (* 1/6 (pow x 2)))) x)
(copysign (* x (- 1 (* 1/6 (pow x 2)))) x)
(copysign (* x (- 1 (* 1/6 (pow x 2)))) x)
(copysign (* x (- 1 (* 1/6 (pow x 2)))) x)
(copysign (* x (- 1 (* 1/6 (pow x 2)))) x)
(copysign (* x (- 1 (* 1/6 (pow x 2)))) x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* -1/6 (pow x 2))))
(* -1/6 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* -1/6 (pow x 3))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
1
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* -1/6 (pow x 2)))
(* -1/6 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* -1/6 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(copysign (log (* -1 x)) x)
(copysign (log (* -1 x)) x)
(copysign (log (* -1 x)) x)
(copysign (log (* -1 x)) x)
(copysign (log (* -1 x)) x)
(copysign (log (* -1 x)) x)
(copysign (log (* -1 x)) x)
(copysign (log (* -1 x)) x)
(copysign (log (* -1 x)) x)
(copysign (log (* -1 x)) x)
(copysign (log (* -1 x)) x)
(copysign (log (* -1 x)) x)
(+ (log -1) (log x))
(+ (log -1) (log x))
(+ (log -1) (log x))
(+ (log -1) (log x))
(+ (log -1) (* -1 (log (/ 1 x))))
(+ (log -1) (* -1 (log (/ 1 x))))
(+ (log -1) (* -1 (log (/ 1 x))))
(+ (log -1) (* -1 (log (/ 1 x))))
(* -1 (log (/ -1 x)))
(* -1 (log (/ -1 x)))
(* -1 (log (/ -1 x)))
(* -1 (log (/ -1 x)))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
x
x
x
x
x
x
x
x
x
x
x
x
(copysign (log (+ x (fabs x))) x)
(copysign (log (+ x (fabs x))) x)
(copysign (log (+ x (fabs x))) x)
(copysign (log (+ x (fabs x))) x)
(copysign (log (+ x (fabs x))) x)
(copysign (log (+ x (fabs x))) x)
(copysign (log (+ x (fabs x))) x)
(copysign (log (+ x (fabs x))) x)
(copysign (log (- (fabs x) (* -1 x))) x)
(copysign (log (- (fabs x) (* -1 x))) x)
(copysign (log (- (fabs x) (* -1 x))) x)
(copysign (log (- (fabs x) (* -1 x))) x)
(log (fabs x))
(+ (log (fabs x)) (/ x (fabs x)))
(+ (log (fabs x)) (* x (+ (* -1/2 (/ x (pow (fabs x) 2))) (/ 1 (fabs x)))))
(+ (log (fabs x)) (* x (+ (* x (- (* 1/3 (/ x (pow (fabs x) 3))) (* 1/2 (/ 1 (pow (fabs x) 2))))) (/ 1 (fabs x)))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow (fabs x) 2) (pow x 2))) (/ (fabs x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow (fabs x) 2) (pow x 2))) (+ (* 1/3 (/ (pow (fabs x) 3) (pow x 3))) (/ (fabs x) x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ (fabs x) x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* 1/2 (/ (pow (fabs x) 2) x))) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/2 (pow (fabs x) 2)) (* 1/3 (/ (pow (fabs x) 3) x))) x))) x))))
(fabs x)
(+ x (fabs x))
(+ x (fabs x))
(+ x (fabs x))
x
(* x (+ 1 (/ (fabs x) x)))
(* x (+ 1 (/ (fabs x) x)))
(* x (+ 1 (/ (fabs x) x)))
x
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))) x)
(copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))) x)
(copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))) x)
(copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))) x)
(copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)
(copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)
(copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)
(copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)
(copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)
(copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)
(copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)
(copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3)))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log -1/8) (* -4 (log (/ 1 x))))
(- (+ (log -1/8) (* -4 (log (/ 1 x)))) (* 4 (/ 1 (pow x 2))))
(- (+ (log -1/8) (+ (* -4 (log (/ 1 x))) (* 1/24 (/ (- (* -192 (+ 1 (fabs x))) 192) (pow x 4))))) (* 4 (/ 1 (pow x 2))))
(- (+ (log -1/8) (+ (* -4 (log (/ 1 x))) (+ (* 1/720 (/ (- (* -23040 (+ 1 (fabs x))) 15360) (pow x 6))) (* 1/24 (/ (- (* -192 (+ 1 (fabs x))) 192) (pow x 4)))))) (* 4 (/ 1 (pow x 2))))
(+ (log -1/8) (* -4 (log (/ -1 x))))
(- (+ (log -1/8) (* -4 (log (/ -1 x)))) (* 4 (/ 1 (pow x 2))))
(- (+ (log -1/8) (+ (* -4 (log (/ -1 x))) (* 1/24 (/ (- (* -192 (+ 1 (fabs x))) 192) (pow x 4))))) (* 4 (/ 1 (pow x 2))))
(- (+ (log -1/8) (+ (* -4 (log (/ -1 x))) (+ (* 1/720 (/ (- (* -23040 (+ 1 (fabs x))) 15360) (pow x 6))) (* 1/24 (/ (- (* -192 (+ 1 (fabs x))) 192) (pow x 4)))))) (* 4 (/ 1 (pow x 2))))
(fabs x)
(+ (fabs x) (* 1/2 (pow x 2)))
(+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(* -1/8 (pow x 4))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
(* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) (pow x 4))) 1/8))
(* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) (pow x 4))) 1/8))
(* -1/8 (pow x 4))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
(* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) (pow x 4))) 1/8))
(* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) (pow x 4))) 1/8))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1/8 (pow x 2))
(* -1/8 (pow x 2))
(* -1/8 (pow x 2))
(* -1/8 (pow x 2))
(* -1/8 (pow x 2))
(* -1/8 (pow x 2))
(* -1/8 (pow x 2))
(* -1/8 (pow x 2))
(* -1/8 (pow x 2))
(* -1/8 (pow x 2))
(* -1/8 (pow x 2))
(* -1/8 (pow x 2))
Outputs
(copysign x x)
(copysign.f32 x x)
(copysign x x)
(copysign.f32 x x)
(copysign x x)
(copysign.f32 x x)
(copysign x x)
(copysign.f32 x x)
(copysign x x)
(copysign.f32 x x)
(copysign x x)
(copysign.f32 x x)
(copysign x x)
(copysign.f32 x x)
(copysign x x)
(copysign.f32 x x)
(copysign x x)
(copysign.f32 x x)
(copysign x x)
(copysign.f32 x x)
(copysign x x)
(copysign.f32 x x)
(copysign x x)
(copysign.f32 x x)
(copysign (* x (+ 1 (* -1/6 (pow x 2)))) x)
(copysign.f32 (*.f32 x (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal 1/6 binary32)))) x)
(copysign (* x (+ 1 (* -1/6 (pow x 2)))) x)
(copysign.f32 (*.f32 x (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal 1/6 binary32)))) x)
(copysign (* x (+ 1 (* -1/6 (pow x 2)))) x)
(copysign.f32 (*.f32 x (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal 1/6 binary32)))) x)
(copysign (* x (+ 1 (* -1/6 (pow x 2)))) x)
(copysign.f32 (*.f32 x (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal 1/6 binary32)))) x)
(copysign (* x (- 1 (* 1/6 (pow x 2)))) x)
(copysign.f32 (*.f32 x (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal 1/6 binary32)))) x)
(copysign (* x (- 1 (* 1/6 (pow x 2)))) x)
(copysign.f32 (*.f32 x (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal 1/6 binary32)))) x)
(copysign (* x (- 1 (* 1/6 (pow x 2)))) x)
(copysign.f32 (*.f32 x (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal 1/6 binary32)))) x)
(copysign (* x (- 1 (* 1/6 (pow x 2)))) x)
(copysign.f32 (*.f32 x (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal 1/6 binary32)))) x)
(copysign (* x (- 1 (* 1/6 (pow x 2)))) x)
(copysign.f32 (*.f32 x (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal 1/6 binary32)))) x)
(copysign (* x (- 1 (* 1/6 (pow x 2)))) x)
(copysign.f32 (*.f32 x (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal 1/6 binary32)))) x)
(copysign (* x (- 1 (* 1/6 (pow x 2)))) x)
(copysign.f32 (*.f32 x (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal 1/6 binary32)))) x)
(copysign (* x (- 1 (* 1/6 (pow x 2)))) x)
(copysign.f32 (*.f32 x (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal 1/6 binary32)))) x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(*.f32 x (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal 1/6 binary32))))
(* x (+ 1 (* -1/6 (pow x 2))))
(*.f32 x (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal 1/6 binary32))))
(* x (+ 1 (* -1/6 (pow x 2))))
(*.f32 x (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal 1/6 binary32))))
(* -1/6 (pow x 3))
(*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(*.f32 x (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal 1/6 binary32))))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(*.f32 x (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal 1/6 binary32))))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(*.f32 x (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal 1/6 binary32))))
(* -1/6 (pow x 3))
(*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(*.f32 x (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal 1/6 binary32))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(*.f32 x (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal 1/6 binary32))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(*.f32 x (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal 1/6 binary32))))
1
#s(literal 1 binary32)
(+ 1 (* -1/6 (pow x 2)))
(-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal 1/6 binary32)))
(+ 1 (* -1/6 (pow x 2)))
(-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal 1/6 binary32)))
(+ 1 (* -1/6 (pow x 2)))
(-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal 1/6 binary32)))
(* -1/6 (pow x 2))
(*.f32 x (*.f32 x #s(literal -1/6 binary32)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal 1/6 binary32)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal 1/6 binary32)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal 1/6 binary32)))
(* -1/6 (pow x 2))
(*.f32 x (*.f32 x #s(literal -1/6 binary32)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal 1/6 binary32)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal 1/6 binary32)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal 1/6 binary32)))
(* -1/6 (pow x 2))
(*.f32 x (*.f32 x #s(literal -1/6 binary32)))
(* -1/6 (pow x 2))
(*.f32 x (*.f32 x #s(literal -1/6 binary32)))
(* -1/6 (pow x 2))
(*.f32 x (*.f32 x #s(literal -1/6 binary32)))
(* -1/6 (pow x 2))
(*.f32 x (*.f32 x #s(literal -1/6 binary32)))
(* -1/6 (pow x 2))
(*.f32 x (*.f32 x #s(literal -1/6 binary32)))
(* -1/6 (pow x 2))
(*.f32 x (*.f32 x #s(literal -1/6 binary32)))
(* -1/6 (pow x 2))
(*.f32 x (*.f32 x #s(literal -1/6 binary32)))
(* -1/6 (pow x 2))
(*.f32 x (*.f32 x #s(literal -1/6 binary32)))
(* -1/6 (pow x 2))
(*.f32 x (*.f32 x #s(literal -1/6 binary32)))
(* -1/6 (pow x 2))
(*.f32 x (*.f32 x #s(literal -1/6 binary32)))
(* -1/6 (pow x 2))
(*.f32 x (*.f32 x #s(literal -1/6 binary32)))
(* -1/6 (pow x 2))
(*.f32 x (*.f32 x #s(literal -1/6 binary32)))
(copysign (log (* -1 x)) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign (log (* -1 x)) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign (log (* -1 x)) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign (log (* -1 x)) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign (log (* -1 x)) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign (log (* -1 x)) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign (log (* -1 x)) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign (log (* -1 x)) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign (log (* -1 x)) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign (log (* -1 x)) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign (log (* -1 x)) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign (log (* -1 x)) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)
(+ (log -1) (log x))
(+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 x))
(+ (log -1) (log x))
(+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 x))
(+ (log -1) (log x))
(+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 x))
(+ (log -1) (log x))
(+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 x))
(+ (log -1) (* -1 (log (/ 1 x))))
(+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 x))
(+ (log -1) (* -1 (log (/ 1 x))))
(+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 x))
(+ (log -1) (* -1 (log (/ 1 x))))
(+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 x))
(+ (log -1) (* -1 (log (/ 1 x))))
(+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 x))
(* -1 (log (/ -1 x)))
(neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)))
(* -1 (log (/ -1 x)))
(neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)))
(* -1 (log (/ -1 x)))
(neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)))
(* -1 (log (/ -1 x)))
(neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)))
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
x
x
x
x
x
x
x
x
x
x
x
x
(copysign (log (+ x (fabs x))) x)
(copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)
(copysign (log (+ x (fabs x))) x)
(copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)
(copysign (log (+ x (fabs x))) x)
(copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)
(copysign (log (+ x (fabs x))) x)
(copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)
(copysign (log (+ x (fabs x))) x)
(copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)
(copysign (log (+ x (fabs x))) x)
(copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)
(copysign (log (+ x (fabs x))) x)
(copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)
(copysign (log (+ x (fabs x))) x)
(copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)
(copysign (log (- (fabs x) (* -1 x))) x)
(copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)
(copysign (log (- (fabs x) (* -1 x))) x)
(copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)
(copysign (log (- (fabs x) (* -1 x))) x)
(copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)
(copysign (log (- (fabs x) (* -1 x))) x)
(copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)
(log (fabs x))
(log.f32 (fabs.f32 x))
(+ (log (fabs x)) (/ x (fabs x)))
(+.f32 (log.f32 (fabs.f32 x)) (/.f32 x (fabs.f32 x)))
(+ (log (fabs x)) (* x (+ (* -1/2 (/ x (pow (fabs x) 2))) (/ 1 (fabs x)))))
(+.f32 (log.f32 (fabs.f32 x)) (+.f32 #s(literal -1/2 binary32) (/.f32 x (fabs.f32 x))))
(+ (log (fabs x)) (* x (+ (* x (- (* 1/3 (/ x (pow (fabs x) 3))) (* 1/2 (/ 1 (pow (fabs x) 2))))) (/ 1 (fabs x)))))
(+.f32 (log.f32 (fabs.f32 x)) (+.f32 (/.f32 x (fabs.f32 x)) (+.f32 (*.f32 x (*.f32 (/.f32 #s(literal 1/3 binary32) (fabs.f32 x)) #s(literal 1 binary32))) #s(literal -1/2 binary32))))
(* -1 (log (/ 1 x)))
(log.f32 x)
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))
(+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow (fabs x) 2) (pow x 2))) (/ (fabs x) x)))
(+.f32 (log.f32 x) (+.f32 (/.f32 (fabs.f32 x) x) #s(literal -1/2 binary32)))
(+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow (fabs x) 2) (pow x 2))) (+ (* 1/3 (/ (pow (fabs x) 3) (pow x 3))) (/ (fabs x) x))))
(+.f32 (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)) (+.f32 #s(literal -1/2 binary32) (*.f32 #s(literal 1/3 binary32) (/.f32 (fabs.f32 x) x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ (fabs x) x)))
(+.f32 (/.f32 (fabs.f32 x) x) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* 1/2 (/ (pow (fabs x) 2) x))) x))))
(+.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 (+.f32 (fabs.f32 x) (/.f32 (*.f32 x (*.f32 x #s(literal -1/2 binary32))) x)) x))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/2 (pow (fabs x) 2)) (* 1/3 (/ (pow (fabs x) 3) x))) x))) x))))
(+.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 (+.f32 (fabs.f32 x) (/.f32 (+.f32 (*.f32 x (*.f32 x #s(literal -1/2 binary32))) (*.f32 #s(literal 1/3 binary32) (*.f32 x (/.f32 (*.f32 x (fabs.f32 x)) x)))) x)) x))
(fabs x)
(fabs.f32 x)
(+ x (fabs x))
(+.f32 x (fabs.f32 x))
(+ x (fabs x))
(+.f32 x (fabs.f32 x))
(+ x (fabs x))
(+.f32 x (fabs.f32 x))
x
(* x (+ 1 (/ (fabs x) x)))
(*.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) x)))
(* x (+ 1 (/ (fabs x) x)))
(*.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) x)))
(* x (+ 1 (/ (fabs x) x)))
(*.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) x)))
x
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
(*.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) x)))
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
(*.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) x)))
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
(*.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) x)))
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))) x)
(copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))) x)
(copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))) x)
(copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))) x)
(copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))) x)
(copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))) x)
(copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))) x)
(copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))) x)
(copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))) x)
(copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))) x)
(copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))) x)
(copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))) x)
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+.f32 (log1p.f32 (fabs.f32 x)) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+.f32 (log1p.f32 (fabs.f32 x)) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3)))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+.f32 (log1p.f32 (fabs.f32 x)) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (*.f32 x (*.f32 x (+.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32)))) (*.f32 #s(literal 1/720 binary32) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 45 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))) (/.f32 #s(literal 30 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 3 binary32))))))))))))
(+ (log -1/8) (* -4 (log (/ 1 x))))
(+.f32 (log.f32 #s(literal -1/8 binary32)) (*.f32 (log.f32 x) #s(literal 4 binary32)))
(- (+ (log -1/8) (* -4 (log (/ 1 x)))) (* 4 (/ 1 (pow x 2))))
(+.f32 (+.f32 (log.f32 #s(literal -1/8 binary32)) (*.f32 (log.f32 x) #s(literal 4 binary32))) (/.f32 #s(literal -4 binary32) (*.f32 x x)))
(- (+ (log -1/8) (+ (* -4 (log (/ 1 x))) (* 1/24 (/ (- (* -192 (+ 1 (fabs x))) 192) (pow x 4))))) (* 4 (/ 1 (pow x 2))))
(+.f32 (log.f32 #s(literal -1/8 binary32)) (+.f32 (*.f32 (log.f32 x) #s(literal 4 binary32)) (+.f32 (/.f32 (*.f32 (+.f32 (fabs.f32 x) #s(literal 2 binary32)) #s(literal -8 binary32)) (*.f32 x (*.f32 x (*.f32 x x)))) (/.f32 #s(literal -4 binary32) (*.f32 x x)))))
(- (+ (log -1/8) (+ (* -4 (log (/ 1 x))) (+ (* 1/720 (/ (- (* -23040 (+ 1 (fabs x))) 15360) (pow x 6))) (* 1/24 (/ (- (* -192 (+ 1 (fabs x))) 192) (pow x 4)))))) (* 4 (/ 1 (pow x 2))))
(+.f32 (+.f32 (log.f32 #s(literal -1/8 binary32)) (*.f32 (log.f32 x) #s(literal 4 binary32))) (+.f32 (/.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal -32 binary32)) #s(literal -64/3 binary32)) (pow.f32 x #s(literal 6 binary32))) (+.f32 (/.f32 (*.f32 (+.f32 (fabs.f32 x) #s(literal 2 binary32)) #s(literal -8 binary32)) (*.f32 x (*.f32 x (*.f32 x x)))) (/.f32 #s(literal -4 binary32) (*.f32 x x)))))
(+ (log -1/8) (* -4 (log (/ -1 x))))
(+.f32 (log.f32 #s(literal -1/8 binary32)) (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal -4 binary32)))
(- (+ (log -1/8) (* -4 (log (/ -1 x)))) (* 4 (/ 1 (pow x 2))))
(+.f32 (log.f32 #s(literal -1/8 binary32)) (*.f32 #s(literal -4 binary32) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal 1 binary32) (*.f32 x x)))))
(- (+ (log -1/8) (+ (* -4 (log (/ -1 x))) (* 1/24 (/ (- (* -192 (+ 1 (fabs x))) 192) (pow x 4))))) (* 4 (/ 1 (pow x 2))))
(+.f32 (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal -4 binary32)) (+.f32 (+.f32 (log.f32 #s(literal -1/8 binary32)) (/.f32 (*.f32 (+.f32 (fabs.f32 x) #s(literal 2 binary32)) #s(literal -8 binary32)) (*.f32 x (*.f32 x (*.f32 x x))))) (/.f32 #s(literal -4 binary32) (*.f32 x x))))
(- (+ (log -1/8) (+ (* -4 (log (/ -1 x))) (+ (* 1/720 (/ (- (* -23040 (+ 1 (fabs x))) 15360) (pow x 6))) (* 1/24 (/ (- (* -192 (+ 1 (fabs x))) 192) (pow x 4)))))) (* 4 (/ 1 (pow x 2))))
(+.f32 (*.f32 #s(literal -4 binary32) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal 1 binary32) (*.f32 x x)))) (+.f32 (/.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal -32 binary32)) #s(literal -64/3 binary32)) (pow.f32 x #s(literal 6 binary32))) (+.f32 (log.f32 #s(literal -1/8 binary32)) (/.f32 (*.f32 (+.f32 (fabs.f32 x) #s(literal 2 binary32)) #s(literal -8 binary32)) (*.f32 x (*.f32 x (*.f32 x x)))))))
(fabs x)
(fabs.f32 x)
(+ (fabs x) (* 1/2 (pow x 2)))
(+.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal 1/2 binary32)))
(+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+.f32 (fabs.f32 x) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))
(+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+.f32 (fabs.f32 x) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))
(* -1/8 (pow x 4))
(*.f32 x (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/8 binary32))))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
(*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))))
(* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) (pow x 4))) 1/8))
(*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (/.f32 (fabs.f32 x) (*.f32 x (*.f32 x (*.f32 x x))))))
(* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) (pow x 4))) 1/8))
(*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (/.f32 (fabs.f32 x) (*.f32 x (*.f32 x (*.f32 x x))))))
(* -1/8 (pow x 4))
(*.f32 x (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/8 binary32))))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
(*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))))
(* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) (pow x 4))) 1/8))
(*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (/.f32 (fabs.f32 x) (*.f32 x (*.f32 x (*.f32 x x))))))
(* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) (pow x 4))) 1/8))
(*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (/.f32 (fabs.f32 x) (*.f32 x (*.f32 x (*.f32 x x))))))
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(* -1 (pow x 2))
(-.f32 #s(literal 0 binary32) (*.f32 x x))
(* -1 (pow x 2))
(-.f32 #s(literal 0 binary32) (*.f32 x x))
(* -1 (pow x 2))
(-.f32 #s(literal 0 binary32) (*.f32 x x))
(* -1 (pow x 2))
(-.f32 #s(literal 0 binary32) (*.f32 x x))
(* -1 (pow x 2))
(-.f32 #s(literal 0 binary32) (*.f32 x x))
(* -1 (pow x 2))
(-.f32 #s(literal 0 binary32) (*.f32 x x))
(* -1 (pow x 2))
(-.f32 #s(literal 0 binary32) (*.f32 x x))
(* -1 (pow x 2))
(-.f32 #s(literal 0 binary32) (*.f32 x x))
(* -1 (pow x 2))
(-.f32 #s(literal 0 binary32) (*.f32 x x))
(* -1 (pow x 2))
(-.f32 #s(literal 0 binary32) (*.f32 x x))
(* -1 (pow x 2))
(-.f32 #s(literal 0 binary32) (*.f32 x x))
(* -1 (pow x 2))
(-.f32 #s(literal 0 binary32) (*.f32 x x))
(* -1/8 (pow x 2))
(*.f32 (*.f32 x x) #s(literal -1/8 binary32))
(* -1/8 (pow x 2))
(*.f32 (*.f32 x x) #s(literal -1/8 binary32))
(* -1/8 (pow x 2))
(*.f32 (*.f32 x x) #s(literal -1/8 binary32))
(* -1/8 (pow x 2))
(*.f32 (*.f32 x x) #s(literal -1/8 binary32))
(* -1/8 (pow x 2))
(*.f32 (*.f32 x x) #s(literal -1/8 binary32))
(* -1/8 (pow x 2))
(*.f32 (*.f32 x x) #s(literal -1/8 binary32))
(* -1/8 (pow x 2))
(*.f32 (*.f32 x x) #s(literal -1/8 binary32))
(* -1/8 (pow x 2))
(*.f32 (*.f32 x x) #s(literal -1/8 binary32))
(* -1/8 (pow x 2))
(*.f32 (*.f32 x x) #s(literal -1/8 binary32))
(* -1/8 (pow x 2))
(*.f32 (*.f32 x x) #s(literal -1/8 binary32))
(* -1/8 (pow x 2))
(*.f32 (*.f32 x x) #s(literal -1/8 binary32))
(* -1/8 (pow x 2))
(*.f32 (*.f32 x x) #s(literal -1/8 binary32))

eval152.0ms (1.8%)

Compiler

Compiled 26353 to 3951 computations (85% saved)

prune183.0ms (2.2%)

Pruning

25 alts after pruning (19 fresh and 6 done)

PrunedKeptTotal
New118471191
Fresh31215
Picked325
Done044
Total1190251215
Accuracy
100.0%
Counts
1215 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
16.1%
(copysign.f32 (/.f32 (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) (*.f32 x x)) (*.f32 (neg.f32 x) (*.f32 x (*.f32 x x)))) (*.f32 #s(literal -1 binary32) (*.f32 x (*.f32 x x)))) x)
55.2%
(copysign.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) x) x)
37.8%
(copysign.f32 (+.f32 (log1p.f32 (+.f32 (*.f32 x x) (/.f32 (-.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (*.f32 x x)))) (+.f32 (*.f32 x x) (*.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)))))) (log.f32 (/.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)) (+.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)) (-.f32 (*.f32 x x) (*.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))))))) x)
55.2%
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (*.f32 x #s(literal -1/6 binary32))) (neg.f32 x)))) x)
55.1%
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal -1/6 binary32))))) x)
14.1%
(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))))) x)
✓51.4%
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))) x)
11.9%
(copysign.f32 (log.f32 (/.f32 (+.f32 (*.f32 (*.f32 x x) (/.f32 x (*.f32 x x))) x) (*.f32 x (/.f32 x (*.f32 x x))))) x)
8.7%
(copysign.f32 (log.f32 (/.f32 (+.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x x) #s(literal -1/2 binary32))) (*.f32 x (*.f32 x x)))) x)
7.9%
(copysign.f32 (log.f32 (/.f32 (*.f32 x x) (neg.f32 x))) x)
15.3%
(copysign.f32 (log.f32 (-.f32 (/.f32 (*.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x) x) x)) x)
30.9%
(copysign.f32 (log.f32 (-.f32 (fabs.f32 x) x)) x)
8.0%
(copysign.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (-.f32 (*.f32 x (*.f32 x x)) #s(literal 1 binary32))) (*.f32 (*.f32 x x) (+.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) x))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))))) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))) x)
16.1%
(copysign.f32 (log.f32 (+.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32)))))))) x)
8.0%
(copysign.f32 (log.f32 (+.f32 (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal 1 binary32) (*.f32 x x))) x)) x)
24.3%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (pow.f32 (*.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)) (+.f32 (*.f32 x x) #s(literal 1 binary32))) #s(literal 1/4 binary32)))) x)
✓60.1%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
25.6%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (*.f32 x (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))))) x)
24.9%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (*.f32 x (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))))) x)
23.8%
(copysign.f32 (log.f32 (+.f32 x x)) x)
✓29.0%
(copysign.f32 (log.f32 (*.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)) x)))) x)
24.9%
(copysign.f32 (log.f32 (*.f32 x (+.f32 (/.f32 (fabs.f32 x) x) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))))) x)
✓14.4%
(copysign.f32 (log.f32 (neg.f32 x)) x)
✓12.2%
(copysign.f32 (log.f32 x) x)
✓55.5%
(copysign.f32 x x)
Compiler

Compiled 1775 to 582 computations (67.2% saved)

regimes52.0ms (0.6%)

Counts
52 → 3
Calls
Call 1
Inputs
(copysign.f32 x x)
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) x)
(copysign.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) x) x)
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal -1/6 binary32))))) x)
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (*.f32 x #s(literal -1/6 binary32))) (neg.f32 x)))) x)
(copysign.f32 (/.f32 (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) (*.f32 x x)) (*.f32 (neg.f32 x) (*.f32 x (*.f32 x x)))) (*.f32 #s(literal -1 binary32) (*.f32 x (*.f32 x x)))) x)
(copysign.f32 (log.f32 x) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) x)) x)
(copysign.f32 (log.f32 (+.f32 x x)) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))) x)
(copysign.f32 (log.f32 (/.f32 (*.f32 x x) (neg.f32 x))) x)
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x #s(literal 1/2 binary32)))))) x)
(copysign.f32 (log.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (+.f32 #s(literal 0 binary32) x))) x)
(copysign.f32 (log.f32 (+.f32 (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal 1 binary32) (*.f32 x x))) x)) x)
(copysign.f32 (log.f32 (/.f32 (+.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x x) #s(literal -1/2 binary32))) (*.f32 x (*.f32 x x)))) x)
(copysign.f32 (log.f32 (/.f32 (+.f32 (*.f32 (*.f32 x x) (/.f32 x (*.f32 x x))) x) (*.f32 x (/.f32 x (*.f32 x x))))) x)
(copysign.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))))) x)
(copysign.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (-.f32 (*.f32 x (*.f32 x x)) #s(literal 1 binary32))) (*.f32 (*.f32 x x) (+.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) x))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))))) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (-.f32 (*.f32 x x) (*.f32 x (*.f32 x x))))))) (-.f32 #s(literal 1 binary32) (*.f32 x x))))) x)
(copysign.f32 (log.f32 (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x))))))) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))) x)
(copysign.f32 (log.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))))) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))) x)
(copysign.f32 (log.f32 (+.f32 (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x))))))) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) (*.f32 x (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))) x)
(copysign.f32 (log.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (-.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))))) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))) x)
(copysign.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))))) (+.f32 (*.f32 x x) #s(literal -1 binary32)))) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) x)) x)
(copysign.f32 (log.f32 (-.f32 (fabs.f32 x) x)) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (neg.f32 x))) x)
(copysign.f32 (log.f32 (-.f32 (/.f32 (*.f32 x (fabs.f32 x)) x) x)) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (*.f32 x (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))))) x)
(copysign.f32 (log.f32 (-.f32 (/.f32 (*.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x) x) x)) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (*.f32 x (*.f32 x #s(literal 1/2 binary32))))))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))) x)
(copysign.f32 (log.f32 (+.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))) x)
(copysign.f32 (log.f32 (*.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)) x)))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (*.f32 x (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))))) x)
(copysign.f32 (log.f32 (+.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32)))))))) x)
(copysign.f32 (log.f32 (*.f32 x (+.f32 (/.f32 (fabs.f32 x) x) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))))) x)
(copysign.f32 (+.f32 (log1p.f32 (fabs.f32 x)) (/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (pow.f32 (*.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)) (+.f32 (*.f32 x x) #s(literal 1 binary32))) #s(literal 1/4 binary32)))) x)
(copysign.f32 (+.f32 (log1p.f32 (fabs.f32 x)) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))))) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))))) x)
(copysign.f32 (+.f32 (log1p.f32 (+.f32 (*.f32 x x) (-.f32 (*.f32 x x) (*.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))))) (log.f32 (/.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)) (+.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)) (-.f32 (*.f32 x x) (*.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))))))) x)
(copysign.f32 (+.f32 (log1p.f32 (+.f32 (*.f32 x x) (/.f32 (-.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (*.f32 x x)))) (+.f32 (*.f32 x x) (*.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)))))) (log.f32 (/.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x)) (+.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)) (-.f32 (*.f32 x x) (*.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))))))) x)
(copysign.f32 (+.f32 (log1p.f32 (fabs.f32 x)) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (*.f32 x (*.f32 x (+.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32)))) (*.f32 (+.f32 (/.f32 #s(literal 45 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (+.f32 (/.f32 #s(literal 45 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal 30 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 3 binary32))))) (*.f32 (*.f32 x x) #s(literal 1/720 binary32))))))))) x)
Outputs
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal -1/6 binary32))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)
Calls

2 calls:

32.0ms
x
14.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Results
AccuracySegmentsBranch
100.0%3x
100.0%3(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes41.0ms (0.5%)

Counts
43 → 3
Calls
Call 1
Inputs
(copysign.f32 x x)
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) x)
(copysign.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) x) x)
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal -1/6 binary32))))) x)
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (*.f32 x #s(literal -1/6 binary32))) (neg.f32 x)))) x)
(copysign.f32 (/.f32 (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) (*.f32 x x)) (*.f32 (neg.f32 x) (*.f32 x (*.f32 x x)))) (*.f32 #s(literal -1 binary32) (*.f32 x (*.f32 x x)))) x)
(copysign.f32 (log.f32 x) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) x)) x)
(copysign.f32 (log.f32 (+.f32 x x)) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))) x)
(copysign.f32 (log.f32 (/.f32 (*.f32 x x) (neg.f32 x))) x)
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x #s(literal 1/2 binary32)))))) x)
(copysign.f32 (log.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (+.f32 #s(literal 0 binary32) x))) x)
(copysign.f32 (log.f32 (+.f32 (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal 1 binary32) (*.f32 x x))) x)) x)
(copysign.f32 (log.f32 (/.f32 (+.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x x) #s(literal -1/2 binary32))) (*.f32 x (*.f32 x x)))) x)
(copysign.f32 (log.f32 (/.f32 (+.f32 (*.f32 (*.f32 x x) (/.f32 x (*.f32 x x))) x) (*.f32 x (/.f32 x (*.f32 x x))))) x)
(copysign.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))))) x)
(copysign.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (-.f32 (*.f32 x (*.f32 x x)) #s(literal 1 binary32))) (*.f32 (*.f32 x x) (+.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) x))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))))) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (-.f32 (*.f32 x x) (*.f32 x (*.f32 x x))))))) (-.f32 #s(literal 1 binary32) (*.f32 x x))))) x)
(copysign.f32 (log.f32 (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x))))))) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))) x)
(copysign.f32 (log.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))))) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))) x)
(copysign.f32 (log.f32 (+.f32 (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x))))))) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) (*.f32 x (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))) x)
(copysign.f32 (log.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (-.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))))) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))) x)
(copysign.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))))) (+.f32 (*.f32 x x) #s(literal -1 binary32)))) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) x)) x)
(copysign.f32 (log.f32 (-.f32 (fabs.f32 x) x)) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (neg.f32 x))) x)
(copysign.f32 (log.f32 (-.f32 (/.f32 (*.f32 x (fabs.f32 x)) x) x)) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (*.f32 x (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))))) x)
(copysign.f32 (log.f32 (-.f32 (/.f32 (*.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x) x) x)) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (*.f32 x (*.f32 x #s(literal 1/2 binary32))))))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))) x)
(copysign.f32 (log.f32 (+.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))) x)
(copysign.f32 (log.f32 (*.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)) x)))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (*.f32 x (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))))) x)
(copysign.f32 (log.f32 (+.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) #s(literal 1/16 binary32)))))))) x)
(copysign.f32 (log.f32 (*.f32 x (+.f32 (/.f32 (fabs.f32 x) x) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))))) x)
Outputs
(copysign.f32 (log.f32 (*.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)) x)))) x)
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal -1/6 binary32))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (*.f32 x (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))))) x)
Calls

1 calls:

36.0ms
x
Results
AccuracySegmentsBranch
99.4%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes72.0ms (0.8%)

Counts
40 → 3
Calls
Call 1
Inputs
(copysign.f32 x x)
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) x)
(copysign.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) x) x)
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal -1/6 binary32))))) x)
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (*.f32 x #s(literal -1/6 binary32))) (neg.f32 x)))) x)
(copysign.f32 (/.f32 (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) (*.f32 x x)) (*.f32 (neg.f32 x) (*.f32 x (*.f32 x x)))) (*.f32 #s(literal -1 binary32) (*.f32 x (*.f32 x x)))) x)
(copysign.f32 (log.f32 x) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) x)) x)
(copysign.f32 (log.f32 (+.f32 x x)) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))) x)
(copysign.f32 (log.f32 (/.f32 (*.f32 x x) (neg.f32 x))) x)
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x #s(literal 1/2 binary32)))))) x)
(copysign.f32 (log.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (+.f32 #s(literal 0 binary32) x))) x)
(copysign.f32 (log.f32 (+.f32 (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal 1 binary32) (*.f32 x x))) x)) x)
(copysign.f32 (log.f32 (/.f32 (+.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x x) #s(literal -1/2 binary32))) (*.f32 x (*.f32 x x)))) x)
(copysign.f32 (log.f32 (/.f32 (+.f32 (*.f32 (*.f32 x x) (/.f32 x (*.f32 x x))) x) (*.f32 x (/.f32 x (*.f32 x x))))) x)
(copysign.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))))) x)
(copysign.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (-.f32 (*.f32 x (*.f32 x x)) #s(literal 1 binary32))) (*.f32 (*.f32 x x) (+.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) x))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))))) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (-.f32 (*.f32 x x) (*.f32 x (*.f32 x x))))))) (-.f32 #s(literal 1 binary32) (*.f32 x x))))) x)
(copysign.f32 (log.f32 (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x))))))) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))) x)
(copysign.f32 (log.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))))) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))) x)
(copysign.f32 (log.f32 (+.f32 (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x))))))) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) (*.f32 x (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))) x)
(copysign.f32 (log.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (-.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))))) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))) x)
(copysign.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))))) (+.f32 (*.f32 x x) #s(literal -1 binary32)))) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) x)) x)
(copysign.f32 (log.f32 (-.f32 (fabs.f32 x) x)) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (neg.f32 x))) x)
(copysign.f32 (log.f32 (-.f32 (/.f32 (*.f32 x (fabs.f32 x)) x) x)) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (*.f32 x (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))))) x)
(copysign.f32 (log.f32 (-.f32 (/.f32 (*.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x) x) x)) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (*.f32 x (*.f32 x #s(literal 1/2 binary32))))))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))) x)
(copysign.f32 (log.f32 (+.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))) x)
(copysign.f32 (log.f32 (*.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)) x)))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))))) x)
Outputs
(copysign.f32 (log.f32 (*.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)) x)))) x)
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal -1/6 binary32))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (*.f32 x (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))))) x)
Calls

1 calls:

67.0ms
x
Results
AccuracySegmentsBranch
99.2%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes17.0ms (0.2%)

Counts
38 → 3
Calls
Call 1
Inputs
(copysign.f32 x x)
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) x)
(copysign.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) x) x)
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal -1/6 binary32))))) x)
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (*.f32 x #s(literal -1/6 binary32))) (neg.f32 x)))) x)
(copysign.f32 (/.f32 (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) (*.f32 x x)) (*.f32 (neg.f32 x) (*.f32 x (*.f32 x x)))) (*.f32 #s(literal -1 binary32) (*.f32 x (*.f32 x x)))) x)
(copysign.f32 (log.f32 x) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) x)) x)
(copysign.f32 (log.f32 (+.f32 x x)) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))) x)
(copysign.f32 (log.f32 (/.f32 (*.f32 x x) (neg.f32 x))) x)
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x #s(literal 1/2 binary32)))))) x)
(copysign.f32 (log.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (+.f32 #s(literal 0 binary32) x))) x)
(copysign.f32 (log.f32 (+.f32 (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal 1 binary32) (*.f32 x x))) x)) x)
(copysign.f32 (log.f32 (/.f32 (+.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x x) #s(literal -1/2 binary32))) (*.f32 x (*.f32 x x)))) x)
(copysign.f32 (log.f32 (/.f32 (+.f32 (*.f32 (*.f32 x x) (/.f32 x (*.f32 x x))) x) (*.f32 x (/.f32 x (*.f32 x x))))) x)
(copysign.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))))) x)
(copysign.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (-.f32 (*.f32 x (*.f32 x x)) #s(literal 1 binary32))) (*.f32 (*.f32 x x) (+.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) x))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))))) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (-.f32 (*.f32 x x) (*.f32 x (*.f32 x x))))))) (-.f32 #s(literal 1 binary32) (*.f32 x x))))) x)
(copysign.f32 (log.f32 (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x))))))) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))) x)
(copysign.f32 (log.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))))) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))) x)
(copysign.f32 (log.f32 (+.f32 (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x))))))) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) (*.f32 x (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))) x)
(copysign.f32 (log.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (-.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))))) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))) x)
(copysign.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))))) (+.f32 (*.f32 x x) #s(literal -1 binary32)))) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) x)) x)
(copysign.f32 (log.f32 (-.f32 (fabs.f32 x) x)) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (neg.f32 x))) x)
(copysign.f32 (log.f32 (-.f32 (/.f32 (*.f32 x (fabs.f32 x)) x) x)) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (*.f32 x (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))))) x)
(copysign.f32 (log.f32 (-.f32 (/.f32 (*.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x) x) x)) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (*.f32 x (*.f32 x #s(literal 1/2 binary32))))))) x)
(copysign.f32 (log1p.f32 (+.f32 (fabs.f32 x) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))) x)
(copysign.f32 (log.f32 (+.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))) x)
Outputs
(copysign.f32 (log.f32 (-.f32 (fabs.f32 x) x)) x)
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal -1/6 binary32))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (*.f32 x (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))))) x)
Calls

1 calls:

12.0ms
x
Results
AccuracySegmentsBranch
99.0%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes26.0ms (0.3%)

Counts
33 → 3
Calls
Call 1
Inputs
(copysign.f32 x x)
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) x)
(copysign.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) x) x)
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal -1/6 binary32))))) x)
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (*.f32 x #s(literal -1/6 binary32))) (neg.f32 x)))) x)
(copysign.f32 (/.f32 (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) (*.f32 x x)) (*.f32 (neg.f32 x) (*.f32 x (*.f32 x x)))) (*.f32 #s(literal -1 binary32) (*.f32 x (*.f32 x x)))) x)
(copysign.f32 (log.f32 x) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) x)) x)
(copysign.f32 (log.f32 (+.f32 x x)) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))) x)
(copysign.f32 (log.f32 (/.f32 (*.f32 x x) (neg.f32 x))) x)
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x #s(literal 1/2 binary32)))))) x)
(copysign.f32 (log.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (+.f32 #s(literal 0 binary32) x))) x)
(copysign.f32 (log.f32 (+.f32 (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal 1 binary32) (*.f32 x x))) x)) x)
(copysign.f32 (log.f32 (/.f32 (+.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x x) #s(literal -1/2 binary32))) (*.f32 x (*.f32 x x)))) x)
(copysign.f32 (log.f32 (/.f32 (+.f32 (*.f32 (*.f32 x x) (/.f32 x (*.f32 x x))) x) (*.f32 x (/.f32 x (*.f32 x x))))) x)
(copysign.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))))) x)
(copysign.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (-.f32 (*.f32 x (*.f32 x x)) #s(literal 1 binary32))) (*.f32 (*.f32 x x) (+.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) x))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))))) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (-.f32 (*.f32 x x) (*.f32 x (*.f32 x x))))))) (-.f32 #s(literal 1 binary32) (*.f32 x x))))) x)
(copysign.f32 (log.f32 (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x))))))) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))) x)
(copysign.f32 (log.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))))) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))) x)
(copysign.f32 (log.f32 (+.f32 (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x))))))) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) (*.f32 x (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))) x)
(copysign.f32 (log.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (-.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))))) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))) x)
(copysign.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))))) (+.f32 (*.f32 x x) #s(literal -1 binary32)))) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) x)) x)
(copysign.f32 (log.f32 (-.f32 (fabs.f32 x) x)) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (neg.f32 x))) x)
(copysign.f32 (log.f32 (-.f32 (/.f32 (*.f32 x (fabs.f32 x)) x) x)) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))))) x)
Outputs
(copysign.f32 (log.f32 (-.f32 (fabs.f32 x) x)) x)
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal -1/6 binary32))))) x)
(copysign.f32 (log.f32 (+.f32 x x)) x)
Calls

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
98.4%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes10.0ms (0.1%)

Counts
29 → 4
Calls
Call 1
Inputs
(copysign.f32 x x)
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) x)
(copysign.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) x) x)
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal -1/6 binary32))))) x)
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (*.f32 x #s(literal -1/6 binary32))) (neg.f32 x)))) x)
(copysign.f32 (/.f32 (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) (*.f32 x x)) (*.f32 (neg.f32 x) (*.f32 x (*.f32 x x)))) (*.f32 #s(literal -1 binary32) (*.f32 x (*.f32 x x)))) x)
(copysign.f32 (log.f32 x) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) x)) x)
(copysign.f32 (log.f32 (+.f32 x x)) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))) x)
(copysign.f32 (log.f32 (/.f32 (*.f32 x x) (neg.f32 x))) x)
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x #s(literal 1/2 binary32)))))) x)
(copysign.f32 (log.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (+.f32 #s(literal 0 binary32) x))) x)
(copysign.f32 (log.f32 (+.f32 (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal 1 binary32) (*.f32 x x))) x)) x)
(copysign.f32 (log.f32 (/.f32 (+.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x x) #s(literal -1/2 binary32))) (*.f32 x (*.f32 x x)))) x)
(copysign.f32 (log.f32 (/.f32 (+.f32 (*.f32 (*.f32 x x) (/.f32 x (*.f32 x x))) x) (*.f32 x (/.f32 x (*.f32 x x))))) x)
(copysign.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))))) x)
(copysign.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (-.f32 (*.f32 x (*.f32 x x)) #s(literal 1 binary32))) (*.f32 (*.f32 x x) (+.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) x))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))))) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (-.f32 (*.f32 x x) (*.f32 x (*.f32 x x))))))) (-.f32 #s(literal 1 binary32) (*.f32 x x))))) x)
(copysign.f32 (log.f32 (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x))))))) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))) x)
(copysign.f32 (log.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))))) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))) x)
(copysign.f32 (log.f32 (+.f32 (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x))))))) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) (*.f32 x (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))) x)
(copysign.f32 (log.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (-.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))))) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))) x)
(copysign.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))))))) (+.f32 (*.f32 x x) #s(literal -1 binary32)))) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) x)) x)
Outputs
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign.f32 (log.f32 (/.f32 (+.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x x) #s(literal -1/2 binary32))) (*.f32 x (*.f32 x x)))) x)
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal -1/6 binary32))))) x)
(copysign.f32 (log.f32 (+.f32 x x)) x)
Calls

1 calls:

8.0ms
x
Results
AccuracySegmentsBranch
88.2%4x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes18.0ms (0.2%)

Counts
15 → 3
Calls
Call 1
Inputs
(copysign.f32 x x)
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) x)
(copysign.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) x) x)
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal -1/6 binary32))))) x)
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (*.f32 x #s(literal -1/6 binary32))) (neg.f32 x)))) x)
(copysign.f32 (/.f32 (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) (*.f32 x x)) (*.f32 (neg.f32 x) (*.f32 x (*.f32 x x)))) (*.f32 #s(literal -1 binary32) (*.f32 x (*.f32 x x)))) x)
(copysign.f32 (log.f32 x) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) x)) x)
(copysign.f32 (log.f32 (+.f32 x x)) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))) x)
(copysign.f32 (log.f32 (/.f32 (*.f32 x x) (neg.f32 x))) x)
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x #s(literal 1/2 binary32)))))) x)
(copysign.f32 (log.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (+.f32 #s(literal 0 binary32) x))) x)
(copysign.f32 (log.f32 (+.f32 (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal 1 binary32) (*.f32 x x))) x)) x)
Outputs
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal -1/6 binary32))))) x)
(copysign.f32 (log.f32 (+.f32 x x)) x)
Calls

1 calls:

17.0ms
x
Results
AccuracySegmentsBranch
84.5%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts
9 → 3
Calls
Call 1
Inputs
(copysign.f32 x x)
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) x)
(copysign.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) x) x)
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal -1/6 binary32))))) x)
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (*.f32 x #s(literal -1/6 binary32))) (neg.f32 x)))) x)
(copysign.f32 (/.f32 (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) (*.f32 x x)) (*.f32 (neg.f32 x) (*.f32 x (*.f32 x x)))) (*.f32 #s(literal -1 binary32) (*.f32 x (*.f32 x x)))) x)
(copysign.f32 (log.f32 x) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) x)) x)
Outputs
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal -1/6 binary32))))) x)
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) x)) x)
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
72.9%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts
8 → 3
Calls
Call 1
Inputs
(copysign.f32 x x)
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) x)
(copysign.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) x) x)
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal -1/6 binary32))))) x)
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (*.f32 x #s(literal -1/6 binary32))) (neg.f32 x)))) x)
(copysign.f32 (/.f32 (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) (*.f32 x x)) (*.f32 (neg.f32 x) (*.f32 x (*.f32 x x)))) (*.f32 #s(literal -1 binary32) (*.f32 x (*.f32 x x)))) x)
(copysign.f32 (log.f32 x) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)
Outputs
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal -1/6 binary32))))) x)
(copysign.f32 (log.f32 x) x)
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
72.9%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts
7 → 2
Calls
Call 1
Inputs
(copysign.f32 x x)
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) x)
(copysign.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) x) x)
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal -1/6 binary32))))) x)
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (*.f32 x #s(literal -1/6 binary32))) (neg.f32 x)))) x)
(copysign.f32 (/.f32 (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) (*.f32 x x)) (*.f32 (neg.f32 x) (*.f32 x (*.f32 x x)))) (*.f32 #s(literal -1 binary32) (*.f32 x (*.f32 x x)))) x)
(copysign.f32 (log.f32 x) x)
Outputs
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal -1/6 binary32))))) x)
(copysign.f32 (log.f32 x) x)
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
63.0%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Accuracy

Total -13.0b remaining (-91.5%)

Threshold costs -13b (-91.5%)

Counts
6 → 1
Calls
Call 1
Inputs
(copysign.f32 x x)
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) x)
(copysign.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) x) x)
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal -1/6 binary32))))) x)
(copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (*.f32 x #s(literal -1/6 binary32))) (neg.f32 x)))) x)
(copysign.f32 (/.f32 (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) (*.f32 x x)) (*.f32 (neg.f32 x) (*.f32 x (*.f32 x x)))) (*.f32 #s(literal -1 binary32) (*.f32 x (*.f32 x x)))) x)
Outputs
(copysign.f32 x x)
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
55.5%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.03072853945195675
0.1079118400812149
0.0ms
-0.7025805115699768
-0.11130839586257935
Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch1.0ms (0%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
0.0ms
0.10812140256166458
3.071859836578369
0.0ms
-12.907462120056152
-0.7627409100532532
Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch1.0ms (0%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
0.0ms
0.10812140256166458
3.071859836578369
0.0ms
-12.907462120056152
-0.7627409100532532
Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch1.0ms (0%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
0.0ms
0.10812140256166458
3.071859836578369
0.0ms
-12.907462120056152
-0.7627409100532532
Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch1.0ms (0%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
0.0ms
0.10812140256166458
3.071859836578369
0.0ms
-12.907462120056152
-0.7627409100532532
Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch1.0ms (0%)

Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
0.0ms
0.10812140256166458
3.071859836578369
0.0ms
-12.907462120056152
-0.7627409100532532
0.0ms
-24305601609728.0
-3878604767232.0
Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch0.0ms (0%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
0.0ms
0.10812140256166458
3.071859836578369
0.0ms
-12.907462120056152
-0.7627409100532532
Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch0.0ms (0%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
0.0ms
0.10812140256166458
3.071859836578369
0.0ms
-12.907462120056152
-0.7627409100532532
Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch0.0ms (0%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
0.0ms
0.10812140256166458
3.071859836578369
0.0ms
-12.907462120056152
-0.7627409100532532
Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch0.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
0.10812140256166458
3.071859836578369
Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify58.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
356×distribute-lft-neg-in_binary32
320×unsub-neg_binary32
284×cancel-sign-sub_binary32
232×neg-mul-1_binary32
192×neg-sub0_binary32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
094466
1132466
2153466
3180464
4236464
5317464
6518464
7705464
8894464
91062464
101226464
111328464
121380464
131404464
141406464
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal -1/2 binary32)) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal 13421773/268435456 binary32)) (copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal -1/6 binary32))))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)))
(if (<=.f32 x #s(literal -10 binary32)) (copysign.f32 (log.f32 (*.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)) x)))) x) (if (<=.f32 x #s(literal 13421773/67108864 binary32)) (copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal -1/6 binary32))))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (*.f32 x (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))))) x)))
(if (<=.f32 x #s(literal -10 binary32)) (copysign.f32 (log.f32 (*.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)) x)))) x) (if (<=.f32 x #s(literal 13421773/67108864 binary32)) (copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal -1/6 binary32))))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (*.f32 x (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))))) x)))
(if (<=.f32 x #s(literal -10 binary32)) (copysign.f32 (log.f32 (-.f32 (fabs.f32 x) x)) x) (if (<=.f32 x #s(literal 13421773/67108864 binary32)) (copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal -1/6 binary32))))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (*.f32 x (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))))) x)))
(if (<=.f32 x #s(literal -10 binary32)) (copysign.f32 (log.f32 (-.f32 (fabs.f32 x) x)) x) (if (<=.f32 x #s(literal 13421773/67108864 binary32)) (copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal -1/6 binary32))))) x) (copysign.f32 (log.f32 (+.f32 x x)) x)))
(if (<=.f32 x #s(literal -19999999655936 binary32)) (copysign.f32 (log.f32 (neg.f32 x)) x) (if (<=.f32 x #s(literal -10 binary32)) (copysign.f32 (log.f32 (/.f32 (+.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x x) #s(literal -1/2 binary32))) (*.f32 x (*.f32 x x)))) x) (if (<=.f32 x #s(literal 13421773/67108864 binary32)) (copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal -1/6 binary32))))) x) (copysign.f32 (log.f32 (+.f32 x x)) x))))
(if (<=.f32 x #s(literal -10 binary32)) (copysign.f32 (log.f32 (neg.f32 x)) x) (if (<=.f32 x #s(literal 13421773/67108864 binary32)) (copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal -1/6 binary32))))) x) (copysign.f32 (log.f32 (+.f32 x x)) x)))
(if (<=.f32 x #s(literal -10 binary32)) (copysign.f32 (log.f32 (neg.f32 x)) x) (if (<=.f32 x #s(literal 13421773/67108864 binary32)) (copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal -1/6 binary32))))) x) (copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) x)) x)))
(if (<=.f32 x #s(literal -10 binary32)) (copysign.f32 (log.f32 (neg.f32 x)) x) (if (<=.f32 x #s(literal 13421773/67108864 binary32)) (copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal -1/6 binary32))))) x) (copysign.f32 (log.f32 x) x)))
(if (<=.f32 x #s(literal 13421773/67108864 binary32)) (copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal -1/6 binary32))))) x) (copysign.f32 (log.f32 x) x))
(copysign.f32 x x)
Outputs
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal -1/2 binary32)) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal 13421773/268435456 binary32)) (copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal -1/6 binary32))))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal 1 binary32) x))) x)))
(if (<=.f32 x #s(literal -10 binary32)) (copysign.f32 (log.f32 (*.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)) x)))) x) (if (<=.f32 x #s(literal 13421773/67108864 binary32)) (copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal -1/6 binary32))))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (*.f32 x (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))))) x)))
(if (<=.f32 x #s(literal -10 binary32)) (copysign.f32 (log.f32 (*.f32 x (+.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)) x) #s(literal -1 binary32)))) x) (if (<=.f32 x #s(literal 13421773/67108864 binary32)) (copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal -1/6 binary32))))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (*.f32 x (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))))) x)))
(if (<=.f32 x #s(literal -10 binary32)) (copysign.f32 (log.f32 (*.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)) x)))) x) (if (<=.f32 x #s(literal 13421773/67108864 binary32)) (copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal -1/6 binary32))))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (*.f32 x (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))))) x)))
(if (<=.f32 x #s(literal -10 binary32)) (copysign.f32 (log.f32 (*.f32 x (+.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)) x) #s(literal -1 binary32)))) x) (if (<=.f32 x #s(literal 13421773/67108864 binary32)) (copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal -1/6 binary32))))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (*.f32 x (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))))) x)))
(if (<=.f32 x #s(literal -10 binary32)) (copysign.f32 (log.f32 (-.f32 (fabs.f32 x) x)) x) (if (<=.f32 x #s(literal 13421773/67108864 binary32)) (copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal -1/6 binary32))))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (*.f32 x (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))))) x)))
(if (<=.f32 x #s(literal -10 binary32)) (copysign.f32 (log.f32 (-.f32 (fabs.f32 x) x)) x) (if (<=.f32 x #s(literal 13421773/67108864 binary32)) (copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal -1/6 binary32))))) x) (copysign.f32 (log.f32 (+.f32 x x)) x)))
(if (<=.f32 x #s(literal -19999999655936 binary32)) (copysign.f32 (log.f32 (neg.f32 x)) x) (if (<=.f32 x #s(literal -10 binary32)) (copysign.f32 (log.f32 (/.f32 (+.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x x) #s(literal -1/2 binary32))) (*.f32 x (*.f32 x x)))) x) (if (<=.f32 x #s(literal 13421773/67108864 binary32)) (copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal -1/6 binary32))))) x) (copysign.f32 (log.f32 (+.f32 x x)) x))))
(if (<=.f32 x #s(literal -10 binary32)) (copysign.f32 (log.f32 (neg.f32 x)) x) (if (<=.f32 x #s(literal 13421773/67108864 binary32)) (copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal -1/6 binary32))))) x) (copysign.f32 (log.f32 (+.f32 x x)) x)))
(if (<=.f32 x #s(literal -10 binary32)) (copysign.f32 (log.f32 (neg.f32 x)) x) (if (<=.f32 x #s(literal 13421773/67108864 binary32)) (copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal -1/6 binary32))))) x) (copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) x)) x)))
(if (<=.f32 x #s(literal -10 binary32)) (copysign.f32 (log.f32 (neg.f32 x)) x) (if (<=.f32 x #s(literal 13421773/67108864 binary32)) (copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal -1/6 binary32))))) x) (copysign.f32 (log.f32 (+.f32 x #s(literal 1 binary32))) x)))
(if (<=.f32 x #s(literal -10 binary32)) (copysign.f32 (log.f32 (neg.f32 x)) x) (if (<=.f32 x #s(literal 13421773/67108864 binary32)) (copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal -1/6 binary32))))) x) (copysign.f32 (log.f32 x) x)))
(if (<=.f32 x #s(literal 13421773/67108864 binary32)) (copysign.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal -1/6 binary32))))) x) (copysign.f32 (log.f32 x) x))
(copysign.f32 x x)

soundness1.6s (18.8%)

Rules
4930×+-lowering-+.f64
4930×+-lowering-+.f32
4530×*-lowering-*.f32
4530×*-lowering-*.f64
4466×*-lowering-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030128
1156121
21450119
08865119
07225975
122415131
084755131
0911
1159
2169
3179
0179
028117
116799
2174191
0911891
01691315
15171085
217661053
367531053
080591053
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×saturated
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 1087 to 488 computations (55.1% saved)

preprocess97.0ms (1.1%)

Compiler

Compiled 1014 to 228 computations (77.5% saved)

end0.0ms (0%)

Profiling

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