Rust f32::asinh

Time bar (total: 10.8s)

analyze0.0ms (0%)

Memory
0.4MiB live, 0.3MiB allocated
Algorithm
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 4 computations (0% saved)

sample937.0ms (8.7%)

Memory
26.8MiB live, 493.7MiB allocated
Samples
715.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 557.0ms
ival-asinh: 548.0ms (98.4% of total)
ival-true: 6.0ms (1.1% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

preprocess24.0ms (0.2%)

Memory
-17.5MiB live, 20.8MiB allocated
Algorithm
egg-herbie
Rules
12×sub-neg
lower-+.f64
+-commutative
lift-+.f32
lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047
1107
2147
3177
4217
5287
6357
0912
01612
12012
02011
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Outputs
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)

explain196.0ms (1.8%)

Memory
-15.5MiB live, 198.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1321(-0.003196610836312175)5(0.02319413423538208)(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))
580-0-(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))
00-0-#s(literal 1 binary32)
00-0-(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
00-0-(*.f32 x x)
00-0-(+.f32 (*.f32 x x) #s(literal 1 binary32))
00-0-(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))
00-0-x
00-0-(fabs.f32 x)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
log.f32(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))sensitivity1275
sqrt.f32(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))oflow-rescue580
(+.f32 (*.f32 x x) #s(literal 1 binary32))overflow58
(*.f32 x x)overflow58
log.f32(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))oflow-rescue10
(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))overflow1
(+.f32 (*.f32 x x) #s(literal 1 binary32))overflow58
(*.f32 x x)overflow58
Confusion
Predicted +Predicted -
+1845
-166
Precision
0.9945945945945946
Recall
0.9735449735449735
Confusion?
Predicted +Predicted MaybePredicted -
+18450
-1066
Precision?
0.9947368421052631
Recall?
1.0
Freqs
test
numberfreq
071
1184
21
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
40.0ms188×1valid
30.0ms324×0valid
Compiler

Compiled 128 to 40 computations (68.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 54.0ms
ival-hypot: 17.0ms (31.7% of total)
ival-log: 13.0ms (24.2% of total)
ival-add: 7.0ms (13% of total)
ival-copysign: 5.0ms (9.3% of total)
adjust: 4.0ms (7.5% of total)
ival-mult: 4.0ms (7.5% of total)
ival-fabs: 3.0ms (5.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
37.8%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify5.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))
cost-diff0
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))
cost-diff0
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
cost-diff64
(+.f32 (*.f32 x x) #s(literal 1 binary32))
Rules
lower-+.f64
lift-+.f32
lower-+.f32
+-commutative
lower-sqrt.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0949
01649
12049
02044
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))
(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))
(fabs.f32 x)
x
(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))
(+.f32 (*.f32 x x) #s(literal 1 binary32))
(*.f32 x x)
#s(literal 1 binary32)
Outputs
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))
(+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(fabs.f32 x)
x
(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
(+.f32 (*.f32 x x) #s(literal 1 binary32))
(fma.f32 x x #s(literal 1 binary32))
(*.f32 x x)
#s(literal 1 binary32)

localize47.0ms (0.4%)

Memory
28.6MiB live, 106.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fabs.f32 x)
accuracy99.9%
(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))
accuracy80.6%
(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))
accuracy58.6%
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))
Samples
19.0ms94×1valid
15.0ms162×0valid
Compiler

Compiled 51 to 11 computations (78.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-hypot: 7.0ms (26.2% of total)
ival-log: 6.0ms (22.5% of total)
ival-copysign: 4.0ms (15% of total)
ival-add: 3.0ms (11.2% of total)
adjust: 2.0ms (7.5% of total)
ival-mult: 2.0ms (7.5% of total)
ival-fabs: 2.0ms (7.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
-22.6MiB live, 15.6MiB allocated
Counts
6 → 72
Calls
Call 1
Inputs
#<alt (+.f32 (*.f32 x x) #s(literal 1 binary32))>
#<alt (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)>
#<alt (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))>
#<alt (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))>
#<alt (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))>
#<alt (fabs.f32 x)>
Outputs
#<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 (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 (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)>
Calls

18 calls:

TimeVariablePointExpression
3.0ms
x
@0
(log (+ (fabs x) (sqrt (+ (* x x) 1))))
1.0ms
x
@inf
(log (+ (fabs x) (sqrt (+ (* x x) 1))))
0.0ms
x
@inf
(+ (fabs x) (sqrt (+ (* x x) 1)))
0.0ms
x
@-inf
(log (+ (fabs x) (sqrt (+ (* x x) 1))))
0.0ms
x
@inf
(+ (* x x) 1)

rewrite535.0ms (5%)

Memory
-5.5MiB live, 591.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 872×lower-fma.f64
5 872×lower-fma.f32
3 070×lower-*.f64
3 068×lower-*.f32
2 316×lower-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0944
01644
15144
232444
3341944
0835239
Stop Event
iter limit
node limit
iter limit
Counts
6 → 279
Calls
Call 1
Inputs
(+.f32 (*.f32 x x) #s(literal 1 binary32))
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))
(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))
(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))
(fabs.f32 x)
Outputs
(hypot.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (*.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(hypot.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (*.f32 x (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(hypot.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (*.f32 (neg.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(hypot.f32 (*.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(hypot.f32 (*.f32 x (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(hypot.f32 (*.f32 (neg.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(neg.f32 (fma.f32 x (neg.f32 x) #s(literal -1 binary32)))
(exp.f32 (log1p.f32 (*.f32 x x)))
(exp.f32 (*.f32 (neg.f32 (log1p.f32 (*.f32 x x))) #s(literal -1 binary32)))
(+.f32 (*.f32 x x) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 x x))
(+.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x x))) (fma.f32 x x #s(literal -1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))))
(fabs.f32 (fma.f32 x x #s(literal 1 binary32)))
(pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1 binary32))
(pow.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) #s(literal 2 binary32))
(pow.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))) #s(literal 1/2 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))) #s(literal -1 binary32))
(pow.f32 (sqrt.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 4 binary32))
(pow.f32 (*.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1/4 binary32))
(pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal 1 binary32))) #s(literal -1 binary32))
(pow.f32 (exp.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) (log1p.f32 (*.f32 x x))))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 x x))))
(pow.f32 (exp.f32 #s(literal 1 binary32)) (log1p.f32 (*.f32 x x)))
(fma.f32 x x #s(literal 1 binary32))
(fma.f32 x (/.f32 (*.f32 x (*.f32 x x)) (fma.f32 x x #s(literal -1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))))
(fma.f32 (*.f32 x x) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (/.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))))
(fma.f32 #s(literal 1 binary32) (*.f32 x x) #s(literal 1 binary32))
(fma.f32 (fabs.f32 x) (fabs.f32 x) #s(literal 1 binary32))
(fma.f32 (fabs.f32 x) (*.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 (neg.f32 x) (neg.f32 x) #s(literal 1 binary32))
(fma.f32 (neg.f32 x) (*.f32 (neg.f32 x) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 x (*.f32 x x)) (/.f32 x (fma.f32 x x #s(literal -1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))))
(fma.f32 (*.f32 x (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))))
(fma.f32 #s(literal -1 binary32) (*.f32 x (neg.f32 x)) #s(literal 1 binary32))
(fma.f32 (fabs.f32 (fabs.f32 x)) (fabs.f32 (fabs.f32 x)) #s(literal 1 binary32))
(fma.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) (/.f32 (*.f32 x (*.f32 x x)) (+.f32 x #s(literal -1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))))
(fma.f32 (/.f32 (*.f32 x x) (+.f32 x #s(literal 1 binary32))) (/.f32 (*.f32 x x) (+.f32 x #s(literal -1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))))
(fma.f32 (/.f32 (*.f32 x (*.f32 x x)) (+.f32 x #s(literal 1 binary32))) (/.f32 x (+.f32 x #s(literal -1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))))
(fma.f32 (*.f32 #s(literal 1 binary32) (neg.f32 x)) (neg.f32 x) #s(literal 1 binary32))
(fma.f32 (*.f32 (neg.f32 x) #s(literal -1 binary32)) x #s(literal 1 binary32))
(fma.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x x))) (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal -1 binary32))) (fma.f32 x x #s(literal 1 binary32)) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))))
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(/.f32 (-.f32 (*.f32 (*.f32 (/.f32 (*.f32 x x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (/.f32 (*.f32 x x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) (/.f32 (*.f32 x x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) (*.f32 (*.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) (fma.f32 (/.f32 (*.f32 x x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (/.f32 (*.f32 x x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (fma.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (*.f32 (/.f32 (*.f32 x x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))))
(/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (/.f32 (*.f32 x x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) (*.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) (fma.f32 x (/.f32 x (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(/.f32 (*.f32 (fma.f32 x (*.f32 x x) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))))
(/.f32 (*.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32)))))) (/.f32 #s(literal 1 binary32) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))))) (fma.f32 x (*.f32 (*.f32 x x) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (-.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (*.f32 x (*.f32 x x))))))
(/.f32 (*.f32 (-.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))))) (-.f32 (*.f32 x (*.f32 x x)) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(/.f32 (*.f32 (-.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) (fma.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x (fma.f32 x x #s(literal 1 binary32))) (*.f32 x (*.f32 x (*.f32 x x)))))
(/.f32 (*.f32 (*.f32 (fma.f32 x x (fma.f32 x x #s(literal 1 binary32))) (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) (fma.f32 x x (fma.f32 x x #s(literal 1 binary32))))
(*.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(*.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (*.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(*.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (/.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(*.f32 (fma.f32 x (*.f32 x x) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32)))))
(*.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))) (*.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))))))
(*.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))) (/.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32)))))
(*.f32 (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(*.f32 (neg.f32 (fma.f32 x (*.f32 x x) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))))))
(*.f32 (fma.f32 x (neg.f32 x) (fma.f32 x x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x (*.f32 x x) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal -1 binary32))))
(*.f32 (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))
(*.f32 (/.f32 (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal -1 binary32))) (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal -1 binary32)))) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(*.f32 (/.f32 (fma.f32 x (*.f32 x x) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (fma.f32 x (*.f32 (*.f32 x x) (*.f32 x (*.f32 x x))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))))) (fma.f32 (+.f32 #s(literal 1 binary32) (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) (*.f32 x x)) (*.f32 x (*.f32 x (*.f32 x x)))))
(*.f32 (/.f32 (fma.f32 x (*.f32 x x) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (fma.f32 x (*.f32 x (*.f32 x x)) (neg.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))))) (fma.f32 x x (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))))
(*.f32 (/.f32 (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal -1 binary32))) (-.f32 (*.f32 x (*.f32 x x)) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) (fma.f32 x x (fma.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fma.f32 x x #s(literal 1 binary32)))))
(exp.f32 (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 x x))))
(exp.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 x x))) #s(literal 1 binary32)))
(exp.f32 (*.f32 (*.f32 #s(literal 2 binary32) (log1p.f32 (*.f32 x x))) #s(literal 1/4 binary32)))
(exp.f32 (*.f32 (*.f32 (log1p.f32 (*.f32 x x)) #s(literal 1/4 binary32)) #s(literal 2 binary32)))
(exp.f32 (-.f32 (log1p.f32 (*.f32 x x)) (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 x x)))))
(fabs.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/2 binary32))
(pow.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) #s(literal 1 binary32))
(pow.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))) #s(literal 1/4 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))) #s(literal -1/2 binary32))
(pow.f32 (sqrt.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 2 binary32))
(pow.f32 (*.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1/8 binary32))
(pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (sqrt.f32 (fma.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)) #s(literal 1 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (sqrt.f32 (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal -1 binary32)))) #s(literal -1 binary32))
(pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log1p.f32 (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (fma.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (sqrt.f32 (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal -1 binary32)))))
(/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(/.f32 (sqrt.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32))))
(/.f32 (sqrt.f32 (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal -1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(/.f32 (sqrt.f32 (neg.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)) #s(literal 1 binary32)))) (sqrt.f32 (neg.f32 (fma.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32)))))
(/.f32 (sqrt.f32 (neg.f32 (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal -1 binary32)))) (sqrt.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32))))
(/.f32 (sqrt.f32 (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32))))
(/.f32 (neg.f32 (sqrt.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)) #s(literal 1 binary32)))) (neg.f32 (sqrt.f32 (fma.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (sqrt.f32 (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal -1 binary32)))) (neg.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
(/.f32 (exp.f32 (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)))))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32)))))))
(/.f32 (exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal -1 binary32))))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 (fma.f32 x x #s(literal -1 binary32))))))
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)) #s(literal 1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32)))))
(*.f32 (sqrt.f32 (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
(*.f32 (sqrt.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (sqrt.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(exp.f32 (log.f32 (fabs.f32 x)))
(exp.f32 (*.f32 (log.f32 (fabs.f32 x)) #s(literal 1 binary32)))
(fabs.f32 x)
(fabs.f32 (neg.f32 x))
(fabs.f32 (-.f32 x #s(literal 0 binary32)))
(pow.f32 (fabs.f32 x) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (fabs.f32 x))

simplify507.0ms (4.7%)

Memory
21.7MiB live, 1 017.5MiB allocated
Algorithm
egg-herbie
Rules
24 610×lower-fma.f64
24 610×lower-fma.f32
4 994×lower-*.f64
4 994×lower-*.f32
4 040×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0169782
1490754
21511741
35413691
08421635
Stop Event
iter limit
node limit
Counts
72 → 70
Calls
Call 1
Inputs
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))))
(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)))))
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
Outputs
1
#s(literal 1 binary32)
(+ 1 (pow x 2))
(fma.f32 x x #s(literal 1 binary32))
(+ 1 (pow x 2))
(fma.f32 x x #s(literal 1 binary32))
(+ 1 (pow x 2))
(fma.f32 x x #s(literal 1 binary32))
(pow x 2)
(*.f32 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f32 x x #s(literal 1 binary32))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f32 x x #s(literal 1 binary32))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f32 x x #s(literal 1 binary32))
(pow x 2)
(*.f32 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f32 x x #s(literal 1 binary32))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f32 x x #s(literal 1 binary32))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f32 x x #s(literal 1 binary32))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (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)))))))
(fma.f32 x (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (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 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/720 binary32)) #s(literal 45 binary32))) (/.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 1/720 binary32)) #s(literal 30 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (log1p.f32 (fabs.f32 x)))
(* -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)))
(fma.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) (+.f32 (log.f32 x) (/.f32 (fabs.f32 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))))
(fma.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) (+.f32 (log.f32 x) (fma.f32 (*.f32 (fabs.f32 x) (fma.f32 #s(literal 2 binary32) (*.f32 x x) #s(literal -3 binary32))) (/.f32 #s(literal 1/6 binary32) (*.f32 x (*.f32 x x))) (/.f32 (fabs.f32 x) x))))
(* -1 (log (/ -1 x)))
(neg.f32 (neg.f32 (log.f32 (neg.f32 x))))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(-.f32 (neg.f32 (/.f32 (fabs.f32 x) x)) (neg.f32 (log.f32 (neg.f32 x))))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(-.f32 (/.f32 (-.f32 (/.f32 (fma.f32 x (*.f32 x #s(literal -1/2 binary32)) #s(literal 1/2 binary32)) x) (fabs.f32 x)) x) (neg.f32 (log.f32 (neg.f32 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 (/.f32 (-.f32 (/.f32 (fma.f32 x (*.f32 x #s(literal -1/2 binary32)) (fma.f32 (*.f32 (fabs.f32 x) (fma.f32 #s(literal 2 binary32) (*.f32 x x) #s(literal -3 binary32))) (/.f32 #s(literal -1/6 binary32) x) #s(literal 1/2 binary32))) x) (fabs.f32 x)) x) (neg.f32 (log.f32 (neg.f32 x))))
(+ 1 (fabs x))
(+.f32 #s(literal 1 binary32) (fabs.f32 x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(+.f32 (fabs.f32 x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -1/8 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/16 binary32) #s(literal -1/8 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
x
(* x (+ 1 (/ (fabs x) x)))
(+.f32 x (fabs.f32 x))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(+.f32 (fabs.f32 x) (+.f32 x (/.f32 #s(literal 1/2 binary32) x)))
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(+.f32 (fma.f32 x (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x (*.f32 x x)))) (+.f32 x (/.f32 #s(literal 1/2 binary32) x))) (fabs.f32 x))
(* -1 x)
(neg.f32 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(-.f32 (fabs.f32 x) x)
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x))
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) 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)
1
#s(literal 1 binary32)
(+ 1 (* 1/2 (pow x 2)))
(fma.f32 x (*.f32 x #s(literal 1/2 binary32)) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -1/8 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/16 binary32) #s(literal -1/8 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(+.f32 x (/.f32 #s(literal 1/2 binary32) x))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(fma.f32 x (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x (*.f32 x x)))) (+.f32 x (/.f32 #s(literal 1/2 binary32) 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 1/2 binary32) x) (*.f32 x (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))))
(* -1 x)
(neg.f32 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(-.f32 (/.f32 #s(literal -1/2 binary32) x) x)
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(fma.f32 x (/.f32 #s(literal 1/8 binary32) (*.f32 x (*.f32 x (*.f32 x x)))) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(+.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) x) x) (*.f32 (neg.f32 x) (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.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)

eval53.0ms (0.5%)

Memory
6.2MiB live, 57.5MiB allocated
Compiler

Compiled 10 251 to 1 600 computations (84.4% saved)

prune80.0ms (0.7%)

Memory
-27.7MiB live, 127.0MiB allocated
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New33316349
Fresh000
Picked101
Done000
Total33416350
Accuracy
99.8%
Counts
350 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.2%
(copysign.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x))) x)
56.3%
(copysign.f32 (fma.f32 x (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (fabs.f32 x))) x)
14.4%
(copysign.f32 (-.f32 (neg.f32 (/.f32 (fabs.f32 x) x)) (neg.f32 (log.f32 (neg.f32 x)))) x)
73.6%
(copysign.f32 (+.f32 (log1p.f32 (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) (log.f32 (/.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32)))))) x)
37.8%
(copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))) x)
16.2%
(copysign.f32 (neg.f32 (log.f32 (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))))) x)
70.2%
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
28.0%
(copysign.f32 (log.f32 (-.f32 (fabs.f32 x) x)) x)
25.8%
(copysign.f32 (log.f32 (+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x))) x)
37.8%
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
36.3%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) x)
27.7%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 x (/.f32 #s(literal 1/2 binary32) x)))) x)
30.8%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
28.9%
(copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)
20.0%
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))) x)
12.8%
(copysign.f32 (log.f32 x) x)
Compiler

Compiled 496 to 282 computations (43.1% saved)

simplify126.0ms (1.2%)

Memory
6.3MiB live, 163.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))) x)
cost-diff128
(neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32))))
cost-diff288
(log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))
cost-diff352
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32))
cost-diff0
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
cost-diff0
(+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))
cost-diff0
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))
cost-diff0
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) 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-diff0
(log.f32 x)
cost-diff0
(copysign.f32 (log.f32 x) x)
cost-diff0
(+.f32 (log1p.f32 (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) (log.f32 (/.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))))))
cost-diff0
(copysign.f32 (+.f32 (log1p.f32 (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) (log.f32 (/.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32)))))) x)
cost-diff32
(fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32)))
cost-diff32
(fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
Rules
1 680×lower-fma.f64
1 674×lower-fma.f32
592×lower-*.f64
590×lower-*.f32
384×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028370
056356
180355
2113355
3162355
4271351
5415351
6736351
71158351
81523351
91740351
101824351
111886351
121917351
131920351
141921351
151921351
01921346
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(copysign.f32 (+.f32 (log1p.f32 (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) (log.f32 (/.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32)))))) x)
(+.f32 (log1p.f32 (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) (log.f32 (/.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))))))
(log1p.f32 (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
x
(*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(fabs.f32 x)
(-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
(fma.f32 x x #s(literal 1 binary32))
#s(literal 1 binary32)
(log.f32 (/.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))))
(+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32)))
(copysign.f32 (log.f32 x) x)
(log.f32 x)
x
(copysign.f32 (log.f32 (-.f32 (fabs.f32 x) x)) x)
(log.f32 (-.f32 (fabs.f32 x) x))
(-.f32 (fabs.f32 x) x)
(fabs.f32 x)
x
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))
(+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
(fma.f32 x x #s(literal 1 binary32))
x
#s(literal 1 binary32)
(fabs.f32 x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))) x)
(neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32))))
(log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
#s(literal 1 binary32)
(+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(fabs.f32 x)
x
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
(fma.f32 x x #s(literal 1 binary32))
Outputs
(copysign.f32 (+.f32 (log1p.f32 (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) (log.f32 (/.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32)))))) x)
(copysign.f32 (+.f32 (log1p.f32 (*.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) (log.f32 (/.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32))))) x)
(+.f32 (log1p.f32 (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) (log.f32 (/.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))))))
(+.f32 (log1p.f32 (*.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) (log.f32 (/.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))))
(log1p.f32 (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(log1p.f32 (*.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(*.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
x
(*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(fabs.f32 x)
(-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
(fma.f32 x x #s(literal 1 binary32))
#s(literal 1 binary32)
(log.f32 (/.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32)))))
(log.f32 (/.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32))))
(/.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))))
(/.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))
(+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32)))
(fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32))
(copysign.f32 (log.f32 x) x)
(log.f32 x)
x
(copysign.f32 (log.f32 (-.f32 (fabs.f32 x) x)) x)
(log.f32 (-.f32 (fabs.f32 x) x))
(-.f32 (fabs.f32 x) x)
(fabs.f32 x)
x
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))
(+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
(fma.f32 x x #s(literal 1 binary32))
x
#s(literal 1 binary32)
(fabs.f32 x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32))))
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))
(neg.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
#s(literal 1 binary32)
(+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(fabs.f32 x)
x
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
(fma.f32 x x #s(literal 1 binary32))

localize127.0ms (1.2%)

Memory
2.7MiB live, 235.9MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
accuracy100.0%
(neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32))))
accuracy100.0%
(log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))
accuracy100.0%
(fabs.f32 x)
accuracy100.0%
(+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))
accuracy100.0%
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
accuracy100.0%
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))
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%
(copysign.f32 (log.f32 x) x)
accuracy100.0%
(log.f32 x)
accuracy100.0%
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
accuracy100.0%
(log1p.f32 (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
accuracy100.0%
(log.f32 (/.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32)))))
accuracy100.0%
(fabs.f32 x)
Samples
69.0ms256×0invalid
Compiler

Compiled 423 to 31 computations (92.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 54.0ms
ival-log: 15.0ms (27.6% of total)
ival-copysign: 9.0ms (16.6% of total)
ival-add: 9.0ms (16.6% of total)
ival-div: 5.0ms (9.2% of total)
ival-hypot: 5.0ms (9.2% of total)
ival-mult: 4.0ms (7.4% of total)
ival-sub: 2.0ms (3.7% of total)
ival-log1p: 2.0ms (3.7% of total)
ival-fabs: 1.0ms (1.8% of total)
ival-neg: 1.0ms (1.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series110.0ms (1%)

Memory
8.5MiB live, 94.6MiB allocated
Counts
20 → 240
Calls
Call 1
Inputs
#<alt (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))>
#<alt (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32)))>
#<alt (copysign.f32 (+.f32 (log1p.f32 (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) (log.f32 (/.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32)))))) x)>
#<alt (+.f32 (log1p.f32 (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) (log.f32 (/.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))))))>
#<alt (copysign.f32 (log.f32 x) x)>
#<alt (log.f32 x)>
#<alt (copysign.f32 (log.f32 (-.f32 (fabs.f32 x) x)) x)>
#<alt (log.f32 (-.f32 (fabs.f32 x) x))>
#<alt (-.f32 (fabs.f32 x) x)>
#<alt (fabs.f32 x)>
#<alt (copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)>
#<alt (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))>
#<alt (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))>
#<alt (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))>
#<alt (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32))>
#<alt (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))>
#<alt (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32))))>
#<alt (copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))) x)>
#<alt (log.f32 (/.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32)))))>
#<alt (log1p.f32 (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))>
Outputs
#<alt (* (fabs x) (- (fabs x) 1))>
#<alt (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (* -1/2 (fabs x)))))>
#<alt (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* 1/8 (* (pow x 2) (fabs x)))))))>
#<alt (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* (pow x 2) (+ (* -1/16 (* (pow x 2) (fabs x))) (* 1/8 (fabs x))))))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (fabs x) x))))>
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (/ (pow (fabs x) 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (+ (* -1/2 (/ (fabs x) (pow x 3))) (/ (pow (fabs x) 2) (pow x 2))))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ (fabs x) x)))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (pow (fabs x) 2) x))) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* 1/2 (/ (fabs x) x)) (pow (fabs x) 2)) x))) x))))>
#<alt (+ 1 (* (fabs x) (- (fabs x) 1)))>
#<alt (+ 1 (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (* -1/2 (fabs x))))))>
#<alt (+ 1 (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* 1/8 (* (pow x 2) (fabs x))))))))>
#<alt (+ 1 (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* (pow x 2) (+ (* -1/16 (* (pow x 2) (fabs x))) (* 1/8 (fabs x)))))))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (fabs x) x))))>
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (+ (/ 1 (pow x 2)) (/ (pow (fabs x) 2) (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (+ (* -1/2 (/ (fabs x) (pow x 3))) (+ (/ 1 (pow x 2)) (/ (pow (fabs x) 2) (pow x 2)))))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ (fabs x) x)))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ 1 (pow (fabs x) 2)) x))) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ 1 (+ (* 1/2 (/ (fabs x) x)) (pow (fabs x) 2))) x))) x))))>
#<alt (copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x)>
#<alt (copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x)>
#<alt (copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x)>
#<alt (copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x)>
#<alt (copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x)>
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#<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 (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 (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 (log (/ (+ 1 (fabs x)) (+ 1 (* (fabs x) (- (fabs x) 1)))))>
#<alt (+ (log (/ (+ 1 (fabs x)) (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (pow x 2) (* (+ 1 (* (fabs x) (- (fabs x) 1))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))))) (+ 1 (fabs x))))>
#<alt (+ (log (/ (+ 1 (fabs x)) (+ 1 (* (fabs x) (- (fabs x) 1))))) (* (pow x 2) (+ (* 1/24 (* (pow x 2) (+ (* -24 (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))) (+ 1 (fabs x)))) (* -12 (/ (* (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2) (pow (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) 2)) (pow (+ 1 (fabs x)) 2)))))) (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (fabs x))))))>
#<alt (+ (log (/ (+ 1 (fabs x)) (+ 1 (* (fabs x) (- (fabs x) 1))))) (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (* (pow x 2) (+ (* 240 (/ (* (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 3) (pow (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) 3)) (pow (+ 1 (fabs x)) 3))) (+ (* 720 (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (- (* 1/16 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* -1 (/ (* (+ 1 (* -1/2 (fabs x))) (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* -1/16 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 1/8 (/ (* (fabs x) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))))) (+ 1 (fabs x)))) (* 720 (/ (* (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2) (* (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1)))))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))))) (pow (+ 1 (fabs x)) 2))))))) (* 1/24 (+ (* -24 (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))) (+ 1 (fabs x)))) (* -12 (/ (* (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2) (pow (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) 2)) (pow (+ 1 (fabs x)) 2))))))) (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (fabs x))))))>
#<alt (log (/ 1 x))>
#<alt (- (+ (log (/ 1 x)) (/ (fabs x) x)) (* -1 (/ (fabs x) x)))>
#<alt (- (+ (log (/ 1 x)) (+ (* 1/2 (/ (+ (* -2 (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* -1 (pow (- (fabs x) (* -1 (fabs x))) 2))) (pow x 2))) (/ (fabs x) x))) (* -1 (/ (fabs x) x)))>
#<alt (- (+ (log (/ 1 x)) (+ (* 1/6 (/ (+ (* -6 (+ (* -1/2 (fabs x)) (+ (* (fabs x) (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* (+ 1 (pow (fabs x) 2)) (- (fabs x) (* -1 (fabs x))))))) (+ (* 2 (pow (- (fabs x) (* -1 (fabs x))) 3)) (* 6 (* (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2))) (- (fabs x) (* -1 (fabs x))))))) (pow x 3))) (+ (* 1/2 (/ (+ (* -2 (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* -1 (pow (- (fabs x) (* -1 (fabs x))) 2))) (pow x 2))) (/ (fabs x) x)))) (* -1 (/ (fabs x) x)))>
#<alt (log (/ -1 x))>
#<alt (+ (log (/ -1 x)) (* -1 (/ (- (fabs x) (* -1 (fabs x))) x)))>
#<alt (+ (log (/ -1 x)) (* -1 (/ (- (+ (fabs x) (* -1/2 (/ (+ (* -2 (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* -1 (pow (- (fabs x) (* -1 (fabs x))) 2))) x))) (* -1 (fabs x))) x)))>
#<alt (+ (log (/ -1 x)) (* -1 (/ (- (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (+ (* -1/2 (fabs x)) (+ (* (fabs x) (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* (+ 1 (pow (fabs x) 2)) (- (fabs x) (* -1 (fabs x))))))) (+ (* 2 (pow (- (fabs x) (* -1 (fabs x))) 3)) (* 6 (* (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2))) (- (fabs x) (* -1 (fabs x))))))) x)) (* 1/2 (+ (* -2 (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* -1 (pow (- (fabs x) (* -1 (fabs x))) 2))))) x))) (* -1 (fabs x))) x)))>
#<alt (log (+ 1 (* (fabs x) (- (fabs x) 1))))>
#<alt (+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (/ (* (pow x 2) (+ 1 (* -1/2 (fabs x)))) (+ 1 (* (fabs x) (- (fabs x) 1)))))>
#<alt (+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (* (pow x 2) (+ (* -1/2 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* 1/24 (* (pow x 2) (+ (* -12 (/ (pow (+ 1 (* -1/2 (fabs x))) 2) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 3 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1)))))))) (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))))))>
#<alt (+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (* (pow x 2) (+ (* -1/2 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* (pow x 2) (+ (* 1/720 (* (pow x 2) (+ (* -90 (/ (* (fabs x) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (+ (* -45 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (* 240 (/ (pow (+ 1 (* -1/2 (fabs x))) 3) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 3))))))) (* 1/24 (+ (* -12 (/ (pow (+ 1 (* -1/2 (fabs x))) 2) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 3 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))))))) (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))))))>
#<alt (* -2 (log (/ 1 x)))>
#<alt (+ (* -2 (log (/ 1 x))) (* -1 (/ (fabs x) x)))>
#<alt (+ (* -2 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))) (pow x 2)))))>
#<alt (+ (* -2 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (+ (* -2 (pow (fabs x) 3)) (* 6 (* (fabs x) (+ 1 (pow (fabs x) 2)))))) (pow x 3))) (* 1/2 (/ (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))) (pow x 2))))))>
#<alt (* -2 (log (/ -1 x)))>
#<alt (+ (* -2 (log (/ -1 x))) (/ (fabs x) x))>
#<alt (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1/2 (/ (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))) x))) x)))>
#<alt (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (+ (* -2 (pow (fabs x) 3)) (* 6 (* (fabs x) (+ 1 (pow (fabs x) 2)))))) x)) (* 1/2 (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))))) x))) x)))>
Calls

60 calls:

TimeVariablePointExpression
43.0ms
x
@0
(log x)
18.0ms
x
@-inf
(log x)
12.0ms
x
@0
(/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1)
7.0ms
x
@0
(+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (log (/ (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1)))))
6.0ms
x
@inf
(log x)

rewrite615.0ms (5.7%)

Memory
34.3MiB live, 852.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 580×lower-fma.f64
5 574×lower-fma.f32
4 686×lower-/.f64
4 680×lower-/.f32
4 134×lower-*.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028265
056379
1204186
21607186
08404186
Stop Event
iter limit
node limit
iter limit
Counts
20 → 1 014
Calls
Call 1
Inputs
(fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32)))
(copysign.f32 (+.f32 (log1p.f32 (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) (log.f32 (/.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32)))))) x)
(+.f32 (log1p.f32 (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) (log.f32 (/.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))))))
(copysign.f32 (log.f32 x) x)
(log.f32 x)
(copysign.f32 (log.f32 (-.f32 (fabs.f32 x) x)) x)
(log.f32 (-.f32 (fabs.f32 x) x))
(-.f32 (fabs.f32 x) x)
(fabs.f32 x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))
(+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32))
(log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))
(neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32))))
(copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))) x)
(log.f32 (/.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32)))))
(log1p.f32 (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
Outputs
(+.f32 (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (*.f32 x x))
(+.f32 (*.f32 x x) (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(+.f32 (*.f32 x x) (*.f32 #s(literal 1 binary32) (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(+.f32 (*.f32 x x) (*.f32 (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))
(+.f32 (*.f32 #s(literal 1 binary32) (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) (*.f32 x x))
(+.f32 (*.f32 (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)) (*.f32 x x))
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(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (fma.f32 (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) (-.f32 (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) (*.f32 (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) #s(literal 1 binary32)))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (neg.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 (*.f32 x x) (*.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (neg.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))))))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))))))
(-.f32 (log.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (*.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32)))))) (log.f32 (fma.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) (*.f32 (*.f32 x x) (*.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))))
(-.f32 (log.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (*.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32)))))) (log.f32 (fma.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32)) (-.f32 (*.f32 (*.f32 x x) (*.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))))))
(-.f32 (log1p.f32 (*.f32 (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) (*.f32 (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))))) (log1p.f32 (*.f32 (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) (-.f32 (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) #s(literal 1 binary32)))))
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(-.f32 (log.f32 (fma.f32 (*.f32 x x) (*.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (neg.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32)))))) (log.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (neg.f32 (fma.f32 x x #s(literal 1 binary32))))))
(-.f32 (log1p.f32 (*.f32 (neg.f32 (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))) (log1p.f32 (neg.f32 (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))))
(-.f32 (log.f32 (neg.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (*.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))))))) (log.f32 (neg.f32 (fma.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) (*.f32 (*.f32 x x) (*.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))))))
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(-.f32 (log.f32 (-.f32 (*.f32 (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) #s(literal 1 binary32))) (log.f32 (-.f32 (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) #s(literal 1 binary32))))
(log.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))))

simplify663.0ms (6.2%)

Memory
-28.0MiB live, 786.2MiB allocated
Algorithm
egg-herbie
Rules
11 522×lower-fma.f64
11 522×lower-fma.f32
6 536×lower-*.f64
6 536×lower-*.f32
5 976×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07637253
124226772
085746172
Stop Event
iter limit
node limit
Counts
240 → 238
Calls
Call 1
Inputs
(* (fabs x) (- (fabs x) 1))
(+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (* -1/2 (fabs x)))))
(+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* 1/8 (* (pow x 2) (fabs x)))))))
(+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* (pow x 2) (+ (* -1/16 (* (pow x 2) (fabs x))) (* 1/8 (fabs x))))))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (fabs x) x))))
(* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (/ (pow (fabs x) 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (+ (* -1/2 (/ (fabs x) (pow x 3))) (/ (pow (fabs x) 2) (pow x 2))))))
(pow x 2)
(* (pow x 2) (+ 1 (/ (fabs x) x)))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (pow (fabs x) 2) x))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* 1/2 (/ (fabs x) x)) (pow (fabs x) 2)) x))) x))))
(+ 1 (* (fabs x) (- (fabs x) 1)))
(+ 1 (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (* -1/2 (fabs x))))))
(+ 1 (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* 1/8 (* (pow x 2) (fabs x))))))))
(+ 1 (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* (pow x 2) (+ (* -1/16 (* (pow x 2) (fabs x))) (* 1/8 (fabs x)))))))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (fabs x) x))))
(* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (+ (/ 1 (pow x 2)) (/ (pow (fabs x) 2) (pow x 2))))))
(* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (+ (* -1/2 (/ (fabs x) (pow x 3))) (+ (/ 1 (pow x 2)) (/ (pow (fabs x) 2) (pow x 2)))))))
(pow x 2)
(* (pow x 2) (+ 1 (/ (fabs x) x)))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ 1 (pow (fabs x) 2)) x))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ 1 (+ (* 1/2 (/ (fabs x) x)) (pow (fabs x) 2))) x))) x))))
(copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x)
(copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x)
(copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x)
(copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x)
(copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x)
(copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x)
(copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x)
(copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x)
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(- (* (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)))
(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)
(log (/ (+ 1 (fabs x)) (+ 1 (* (fabs x) (- (fabs x) 1)))))
(+ (log (/ (+ 1 (fabs x)) (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (pow x 2) (* (+ 1 (* (fabs x) (- (fabs x) 1))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))))) (+ 1 (fabs x))))
(+ (log (/ (+ 1 (fabs x)) (+ 1 (* (fabs x) (- (fabs x) 1))))) (* (pow x 2) (+ (* 1/24 (* (pow x 2) (+ (* -24 (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))) (+ 1 (fabs x)))) (* -12 (/ (* (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2) (pow (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) 2)) (pow (+ 1 (fabs x)) 2)))))) (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (fabs x))))))
(+ (log (/ (+ 1 (fabs x)) (+ 1 (* (fabs x) (- (fabs x) 1))))) (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (* (pow x 2) (+ (* 240 (/ (* (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 3) (pow (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) 3)) (pow (+ 1 (fabs x)) 3))) (+ (* 720 (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (- (* 1/16 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* -1 (/ (* (+ 1 (* -1/2 (fabs x))) (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* -1/16 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 1/8 (/ (* (fabs x) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))))) (+ 1 (fabs x)))) (* 720 (/ (* (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2) (* (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1)))))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))))) (pow (+ 1 (fabs x)) 2))))))) (* 1/24 (+ (* -24 (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))) (+ 1 (fabs x)))) (* -12 (/ (* (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2) (pow (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) 2)) (pow (+ 1 (fabs x)) 2))))))) (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (fabs x))))))
(log (/ 1 x))
(- (+ (log (/ 1 x)) (/ (fabs x) x)) (* -1 (/ (fabs x) x)))
(- (+ (log (/ 1 x)) (+ (* 1/2 (/ (+ (* -2 (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* -1 (pow (- (fabs x) (* -1 (fabs x))) 2))) (pow x 2))) (/ (fabs x) x))) (* -1 (/ (fabs x) x)))
(- (+ (log (/ 1 x)) (+ (* 1/6 (/ (+ (* -6 (+ (* -1/2 (fabs x)) (+ (* (fabs x) (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* (+ 1 (pow (fabs x) 2)) (- (fabs x) (* -1 (fabs x))))))) (+ (* 2 (pow (- (fabs x) (* -1 (fabs x))) 3)) (* 6 (* (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2))) (- (fabs x) (* -1 (fabs x))))))) (pow x 3))) (+ (* 1/2 (/ (+ (* -2 (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* -1 (pow (- (fabs x) (* -1 (fabs x))) 2))) (pow x 2))) (/ (fabs x) x)))) (* -1 (/ (fabs x) x)))
(log (/ -1 x))
(+ (log (/ -1 x)) (* -1 (/ (- (fabs x) (* -1 (fabs x))) x)))
(+ (log (/ -1 x)) (* -1 (/ (- (+ (fabs x) (* -1/2 (/ (+ (* -2 (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* -1 (pow (- (fabs x) (* -1 (fabs x))) 2))) x))) (* -1 (fabs x))) x)))
(+ (log (/ -1 x)) (* -1 (/ (- (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (+ (* -1/2 (fabs x)) (+ (* (fabs x) (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* (+ 1 (pow (fabs x) 2)) (- (fabs x) (* -1 (fabs x))))))) (+ (* 2 (pow (- (fabs x) (* -1 (fabs x))) 3)) (* 6 (* (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2))) (- (fabs x) (* -1 (fabs x))))))) x)) (* 1/2 (+ (* -2 (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* -1 (pow (- (fabs x) (* -1 (fabs x))) 2))))) x))) (* -1 (fabs x))) x)))
(log (+ 1 (* (fabs x) (- (fabs x) 1))))
(+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (/ (* (pow x 2) (+ 1 (* -1/2 (fabs x)))) (+ 1 (* (fabs x) (- (fabs x) 1)))))
(+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (* (pow x 2) (+ (* -1/2 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* 1/24 (* (pow x 2) (+ (* -12 (/ (pow (+ 1 (* -1/2 (fabs x))) 2) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 3 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1)))))))) (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))))))
(+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (* (pow x 2) (+ (* -1/2 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* (pow x 2) (+ (* 1/720 (* (pow x 2) (+ (* -90 (/ (* (fabs x) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (+ (* -45 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (* 240 (/ (pow (+ 1 (* -1/2 (fabs x))) 3) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 3))))))) (* 1/24 (+ (* -12 (/ (pow (+ 1 (* -1/2 (fabs x))) 2) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 3 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))))))) (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))))))
(* -2 (log (/ 1 x)))
(+ (* -2 (log (/ 1 x))) (* -1 (/ (fabs x) x)))
(+ (* -2 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))) (pow x 2)))))
(+ (* -2 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (+ (* -2 (pow (fabs x) 3)) (* 6 (* (fabs x) (+ 1 (pow (fabs x) 2)))))) (pow x 3))) (* 1/2 (/ (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))) (pow x 2))))))
(* -2 (log (/ -1 x)))
(+ (* -2 (log (/ -1 x))) (/ (fabs x) x))
(+ (* -2 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1/2 (/ (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))) x))) x)))
(+ (* -2 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (+ (* -2 (pow (fabs x) 3)) (* 6 (* (fabs x) (+ 1 (pow (fabs x) 2)))))) x)) (* 1/2 (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))))) x))) x)))
Outputs
(* (fabs x) (- (fabs x) 1))
(fma.f32 x x (neg.f32 (fabs.f32 x)))
(+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (* -1/2 (fabs x)))))
(fma.f32 x (*.f32 x (fma.f32 (fabs.f32 x) #s(literal -1/2 binary32) #s(literal 1 binary32))) (fma.f32 x x (neg.f32 (fabs.f32 x))))
(+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* 1/8 (* (pow x 2) (fabs x)))))))
(fma.f32 x (*.f32 x (fma.f32 (fabs.f32 x) (fma.f32 #s(literal 1/8 binary32) (*.f32 x x) #s(literal -1/2 binary32)) #s(literal 1 binary32))) (fma.f32 x x (neg.f32 (fabs.f32 x))))
(+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* (pow x 2) (+ (* -1/16 (* (pow x 2) (fabs x))) (* 1/8 (fabs x))))))))
(fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (fabs.f32 x) (fma.f32 #s(literal -1/16 binary32) (*.f32 x x) #s(literal 1/8 binary32))) (fma.f32 (fabs.f32 x) #s(literal -1/2 binary32) #s(literal 1 binary32)))) (fma.f32 x x (neg.f32 (fabs.f32 x))))
(pow x 2)
(*.f32 x x)
(* (pow x 2) (+ 1 (* -1 (/ (fabs x) x))))
(*.f32 x (fma.f32 (/.f32 (fabs.f32 x) x) (neg.f32 x) x))
(* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (/ (pow (fabs x) 2) (pow x 2)))))
(*.f32 (*.f32 x x) (+.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) x)) (/.f32 (*.f32 x x) (*.f32 x x))))
(* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (+ (* -1/2 (/ (fabs x) (pow x 3))) (/ (pow (fabs x) 2) (pow x 2))))))
(*.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1/2 binary32) (/.f32 (fabs.f32 x) (*.f32 x (*.f32 x x))) (-.f32 (/.f32 (*.f32 x x) (*.f32 x x)) (/.f32 (fabs.f32 x) x)))))
(pow x 2)
(*.f32 x x)
(* (pow x 2) (+ 1 (/ (fabs x) x)))
(*.f32 x (fma.f32 x (/.f32 (fabs.f32 x) x) x))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (pow (fabs x) 2) x))) x))))
(*.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (neg.f32 (fabs.f32 x)) (/.f32 (*.f32 x x) x)) x)))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* 1/2 (/ (fabs x) x)) (pow (fabs x) 2)) x))) x))))
(*.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (neg.f32 (fabs.f32 x)) (/.f32 (fma.f32 (/.f32 (fabs.f32 x) x) #s(literal 1/2 binary32) (*.f32 x x)) x)) x)))
(+ 1 (* (fabs x) (- (fabs x) 1)))
(fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal 1 binary32))
(+ 1 (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (* -1/2 (fabs x))))))
(fma.f32 x (*.f32 x (fma.f32 (fabs.f32 x) #s(literal -1/2 binary32) #s(literal 1 binary32))) (fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal 1 binary32)))
(+ 1 (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* 1/8 (* (pow x 2) (fabs x))))))))
(fma.f32 (*.f32 x x) (fma.f32 (fabs.f32 x) (fma.f32 #s(literal 1/8 binary32) (*.f32 x x) #s(literal -1/2 binary32)) #s(literal 1 binary32)) (fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal 1 binary32)))
(+ 1 (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* (pow x 2) (+ (* -1/16 (* (pow x 2) (fabs x))) (* 1/8 (fabs x)))))))))
(fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) #s(literal -1 binary32)) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (fabs.f32 x) (fma.f32 #s(literal -1/16 binary32) (*.f32 x x) #s(literal 1/8 binary32))) (fma.f32 (fabs.f32 x) #s(literal -1/2 binary32) #s(literal 1 binary32))) #s(literal 1 binary32)))
(pow x 2)
(*.f32 x x)
(* (pow x 2) (+ 1 (* -1 (/ (fabs x) x))))
(*.f32 x (fma.f32 (/.f32 (fabs.f32 x) x) (neg.f32 x) x))
(* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (+ (/ 1 (pow x 2)) (/ (pow (fabs x) 2) (pow x 2))))))
(*.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (*.f32 x x) (*.f32 x x)) (/.f32 #s(literal 1 binary32) (*.f32 x x))) (/.f32 (fabs.f32 x) x))))
(* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (+ (* -1/2 (/ (fabs x) (pow x 3))) (+ (/ 1 (pow x 2)) (/ (pow (fabs x) 2) (pow x 2)))))))
(*.f32 (*.f32 x x) (+.f32 (+.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) x)) (fma.f32 #s(literal -1/2 binary32) (/.f32 (fabs.f32 x) (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (*.f32 x x)))) (/.f32 (*.f32 x x) (*.f32 x x))))
(pow x 2)
(*.f32 x x)
(* (pow x 2) (+ 1 (/ (fabs x) x)))
(*.f32 x (fma.f32 x (/.f32 (fabs.f32 x) x) x))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ 1 (pow (fabs x) 2)) x))) x))))
(*.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (neg.f32 (fabs.f32 x)) (/.f32 (fma.f32 x x #s(literal 1 binary32)) x)) x)))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ 1 (+ (* 1/2 (/ (fabs x) x)) (pow (fabs x) 2))) x))) x))))
(*.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 (/.f32 (fabs.f32 x) x) #s(literal 1/2 binary32) (fma.f32 x x #s(literal 1 binary32))) x))) x)))
(copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x)
(copysign.f32 (+.f32 (log1p.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (*.f32 x x))) (log.f32 (/.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32)))))) x)
(copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x)
(copysign.f32 (+.f32 (log1p.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (*.f32 x x))) (log.f32 (/.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32)))))) x)
(copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) 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) x)) x)
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(copysign (log (- (fabs x) x)) x)
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x
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1
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(+ (* -2 (log (/ -1 x))) (/ (fabs x) x))
(fma.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 (fabs.f32 x) x))
(+ (* -2 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1/2 (/ (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))) x))) x)))
(fma.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (neg.f32 x) x (fma.f32 #s(literal 2 binary32) (*.f32 x x) #s(literal 2 binary32))) x) (neg.f32 (fabs.f32 x))) (neg.f32 x)))
(+ (* -2 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (+ (* -2 (pow (fabs x) 3)) (* 6 (* (fabs x) (+ 1 (pow (fabs x) 2)))))) x)) (* 1/2 (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))))) x))) x)))
(fma.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 (-.f32 (neg.f32 (fabs.f32 x)) (/.f32 (fma.f32 (*.f32 x x) #s(literal -1/2 binary32) (fma.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)) (/.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (fabs.f32 x) #s(literal -3 binary32) (fma.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal -2 binary32)) (*.f32 (fabs.f32 x) (*.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 6 binary32)))))) x))) x)) (neg.f32 x)))

eval239.0ms (2.2%)

Memory
6.9MiB live, 391.0MiB allocated
Compiler

Compiled 81 862 to 5 605 computations (93.2% saved)

prune168.0ms (1.6%)

Memory
19.2MiB live, 454.8MiB allocated
Pruning

18 alts after pruning (15 fresh and 3 done)

PrunedKeptTotal
New1 50771 514
Fresh3811
Picked235
Done000
Total1 512181 530
Accuracy
99.8%
Counts
1 530 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.2%
(copysign.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x))) x)
56.3%
(copysign.f32 (fma.f32 x (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (fabs.f32 x))) x)
73.8%
(copysign.f32 (-.f32 (log1p.f32 (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) (log.f32 (/.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) x)
26.2%
(copysign.f32 (-.f32 (log.f32 (fabs.f32 x)) (/.f32 x (fabs.f32 x))) x)
54.2%
(copysign.f32 (+.f32 (log1p.f32 (fma.f32 (/.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32))) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x))) (/.f32 (fabs.f32 x) (/.f32 #s(literal 1 binary32) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) (*.f32 x x))) (log.f32 (/.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32)))))) x)
14.9%
(copysign.f32 (neg.f32 (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x)))) (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))) x)
14.9%
(copysign.f32 (neg.f32 (log.f32 (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x))))) x)
37.8%
(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) x)
70.2%
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
28.0%
(copysign.f32 (log.f32 (-.f32 (fabs.f32 x) x)) x)
25.8%
(copysign.f32 (log.f32 (+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x))) x)
37.8%
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
36.3%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) x)
27.7%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 x (/.f32 #s(literal 1/2 binary32) x)))) x)
30.8%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
28.9%
(copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)
20.0%
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))) x)
12.8%
(copysign.f32 (log.f32 x) x)
Compiler

Compiled 641 to 326 computations (49.1% saved)

simplify477.0ms (4.4%)

Memory
-25.9MiB live, 228.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fabs.f32 x)
cost-diff0
(+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
cost-diff0
(log.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
cost-diff0
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) x)
cost-diff0
(-.f32 (fabs.f32 x) x)
cost-diff0
(+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x))
cost-diff0
(log.f32 (+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x)))
cost-diff0
(copysign.f32 (log.f32 (+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x))) x)
cost-diff0
(fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))
cost-diff0
(+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))
cost-diff0
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))) x)
cost-diff96
(log.f32 (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))
cost-diff0
(fabs.f32 x)
cost-diff0
(log1p.f32 (fabs.f32 x))
cost-diff0
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
cost-diff0
(-.f32 (log1p.f32 (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) (log.f32 (/.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
cost-diff0
(copysign.f32 (-.f32 (log1p.f32 (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) (log.f32 (/.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) x)
cost-diff32
(fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32)))
cost-diff32
(fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
Rules
5 888×lower-fma.f64
5 880×lower-fma.f32
1 920×lower-*.f64
1 916×lower-*.f32
1 084×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033379
066379
195379
2131379
3194379
4309375
5573375
61056375
71856375
82767375
94248375
106837375
117072375
127116375
137131375
147134375
157177375
167177375
177177375
187177375
197597375
207769375
217769375
227769375
237769375
07769366
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(copysign.f32 (-.f32 (log1p.f32 (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) (log.f32 (/.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) x)
(-.f32 (log1p.f32 (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) (log.f32 (/.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(log1p.f32 (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
x
(*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(fabs.f32 x)
(-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
(fma.f32 x x #s(literal 1 binary32))
#s(literal 1 binary32)
(log.f32 (/.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(/.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32)))
(+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(log1p.f32 (fabs.f32 x))
(fabs.f32 x)
x
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))) x)
(log.f32 (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))
(+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))
#s(literal 1 binary32)
(fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))
x
(*.f32 x #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(fabs.f32 x)
(copysign.f32 (log.f32 (+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x))) x)
(log.f32 (+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x)))
(+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x))
(-.f32 (fabs.f32 x) x)
(fabs.f32 x)
x
(/.f32 #s(literal -1/2 binary32) x)
#s(literal -1/2 binary32)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) x)
(log.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(fabs.f32 x)
x
(/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(fma.f32 x x #s(literal 1 binary32))
#s(literal 1 binary32)
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
Outputs
(copysign.f32 (-.f32 (log1p.f32 (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) (log.f32 (/.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) x)
(copysign.f32 (-.f32 (log1p.f32 (neg.f32 (*.f32 (fabs.f32 x) (fma.f32 (fabs.f32 x) #s(literal -2 binary32) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) (log.f32 (/.f32 (fma.f32 (neg.f32 (fabs.f32 x)) (fma.f32 (fabs.f32 x) #s(literal -2 binary32) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) x)
(-.f32 (log1p.f32 (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) (log.f32 (/.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(-.f32 (log1p.f32 (neg.f32 (*.f32 (fabs.f32 x) (fma.f32 (fabs.f32 x) #s(literal -2 binary32) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) (log.f32 (/.f32 (fma.f32 (neg.f32 (fabs.f32 x)) (fma.f32 (fabs.f32 x) #s(literal -2 binary32) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(log1p.f32 (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(log1p.f32 (neg.f32 (*.f32 (fabs.f32 x) (fma.f32 (fabs.f32 x) #s(literal -2 binary32) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(neg.f32 (*.f32 (fabs.f32 x) (fma.f32 (fabs.f32 x) #s(literal -2 binary32) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
x
(*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(fabs.f32 x)
(-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
(fma.f32 x x #s(literal 1 binary32))
#s(literal 1 binary32)
(log.f32 (/.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(log.f32 (/.f32 (fma.f32 (neg.f32 (fabs.f32 x)) (fma.f32 (fabs.f32 x) #s(literal -2 binary32) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(/.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 (fma.f32 (neg.f32 (fabs.f32 x)) (fma.f32 (fabs.f32 x) #s(literal -2 binary32) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32)))
(fma.f32 (neg.f32 (fabs.f32 x)) (fma.f32 (fabs.f32 x) #s(literal -2 binary32) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32))
(+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(log1p.f32 (fabs.f32 x))
(fabs.f32 x)
x
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))) x)
(copysign.f32 (log1p.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (fabs.f32 x))) x)
(log.f32 (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))
(log1p.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (fabs.f32 x)))
(+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))
(+.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (fabs.f32 x)))
#s(literal 1 binary32)
(fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))
(fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (fabs.f32 x))
x
(*.f32 x #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(fabs.f32 x)
(copysign.f32 (log.f32 (+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))) x)
(log.f32 (+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x)))
(log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))
(+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x))
(+.f32 (fabs.f32 x) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))
(-.f32 (fabs.f32 x) x)
(fabs.f32 x)
x
(/.f32 #s(literal -1/2 binary32) x)
#s(literal -1/2 binary32)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) x)
(log.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(fabs.f32 x)
x
(/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(fma.f32 x x #s(literal 1 binary32))
#s(literal 1 binary32)
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))

localize170.0ms (1.6%)

Memory
27.0MiB live, 335.2MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
accuracy89.5%
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
accuracy89.5%
(/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
accuracy77.0%
(log.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
accuracy100.0%
(-.f32 (fabs.f32 x) x)
accuracy100.0%
(fabs.f32 x)
accuracy100.0%
(+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x))
accuracy99.6%
(log.f32 (+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x)))
accuracy100.0%
(+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))
accuracy100.0%
(*.f32 x #s(literal 1/2 binary32))
accuracy100.0%
(fabs.f32 x)
accuracy66.1%
(log.f32 (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))
accuracy100.0%
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
accuracy100.0%
(log1p.f32 (fabs.f32 x))
accuracy100.0%
(fabs.f32 x)
accuracy89.4%
(/.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
accuracy88.6%
(log1p.f32 (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
accuracy81.0%
(-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
accuracy77.9%
(log.f32 (/.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
Samples
65.0ms95×1valid
33.0ms120×0invalid
13.0ms41×0valid
Compiler

Compiled 437 to 37 computations (91.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 92.0ms
ival-add: 15.0ms (16.3% of total)
ival-log: 15.0ms (16.3% of total)
ival-copysign: 13.0ms (14.2% of total)
adjust: 12.0ms (13.1% of total)
ival-hypot: 8.0ms (8.7% of total)
ival-log1p: 8.0ms (8.7% of total)
ival-mult: 7.0ms (7.6% of total)
ival-div: 6.0ms (6.5% of total)
ival-sub: 4.0ms (4.4% of total)
ival-fabs: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series141.0ms (1.3%)

Memory
15.6MiB live, 177.6MiB allocated
Counts
25 → 300
Calls
Call 1
Inputs
#<alt (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))>
#<alt (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32)))>
#<alt (copysign.f32 (-.f32 (log1p.f32 (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) (log.f32 (/.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) x)>
#<alt (-.f32 (log1p.f32 (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) (log.f32 (/.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))>
#<alt (copysign.f32 (log1p.f32 (fabs.f32 x)) x)>
#<alt (log1p.f32 (fabs.f32 x))>
#<alt (fabs.f32 x)>
#<alt (log.f32 (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))>
#<alt (copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))) x)>
#<alt (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))>
#<alt (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))>
#<alt (copysign.f32 (log.f32 (+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x))) x)>
#<alt (log.f32 (+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x)))>
#<alt (+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x))>
#<alt (-.f32 (fabs.f32 x) x)>
#<alt (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) x)>
#<alt (log.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))>
#<alt (+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))>
#<alt (log.f32 (/.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))>
#<alt (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))>
#<alt (log1p.f32 (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))>
#<alt (/.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))>
#<alt (*.f32 x #s(literal 1/2 binary32))>
#<alt (/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))>
#<alt (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))>
Outputs
#<alt (* (fabs x) (- (fabs x) 1))>
#<alt (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (* -1/2 (fabs x)))))>
#<alt (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* 1/8 (* (pow x 2) (fabs x)))))))>
#<alt (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* (pow x 2) (+ (* -1/16 (* (pow x 2) (fabs x))) (* 1/8 (fabs x))))))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (fabs x) x))))>
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (/ (pow (fabs x) 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (+ (* -1/2 (/ (fabs x) (pow x 3))) (/ (pow (fabs x) 2) (pow x 2))))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ (fabs x) x)))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (pow (fabs x) 2) x))) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* 1/2 (/ (fabs x) x)) (pow (fabs x) 2)) x))) x))))>
#<alt (+ 1 (* (fabs x) (- (fabs x) 1)))>
#<alt (+ 1 (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (* -1/2 (fabs x))))))>
#<alt (+ 1 (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* 1/8 (* (pow x 2) (fabs x))))))))>
#<alt (+ 1 (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* (pow x 2) (+ (* -1/16 (* (pow x 2) (fabs x))) (* 1/8 (fabs x)))))))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (fabs x) x))))>
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (+ (/ 1 (pow x 2)) (/ (pow (fabs x) 2) (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (+ (* -1/2 (/ (fabs x) (pow x 3))) (+ (/ 1 (pow x 2)) (/ (pow (fabs x) 2) (pow x 2)))))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ (fabs x) x)))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ 1 (pow (fabs x) 2)) x))) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ 1 (+ (* 1/2 (/ (fabs x) x)) (pow (fabs x) 2))) x))) x))))>
#<alt (copysign (- (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2))) (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)>
#<alt (copysign (- (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2))) (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)>
#<alt (copysign (- (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2))) (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)>
#<alt (copysign (- (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2))) (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)>
#<alt (copysign (- (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2))) (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)>
#<alt (copysign (- (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2))) (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)>
#<alt (copysign (- (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2))) (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)>
#<alt (copysign (- (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2))) (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)>
#<alt (copysign (- (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2))) (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)>
#<alt (copysign (- (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2))) (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)>
#<alt (copysign (- (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2))) (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)>
#<alt (copysign (- (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2))) (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)>
#<alt (- (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (log (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (+ 1 (fabs x)))))>
#<alt (- (+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (* (pow x 2) (- (+ (* -1/2 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (- (+ (* -1/2 (/ (fabs x) (+ 1 (fabs x)))) (/ 1 (+ 1 (fabs x)))) (* 1/2 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2))))) (+ 1 (* (fabs x) (- (fabs x) 1))))))) (log (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (+ 1 (fabs x)))))>
#<alt (- (+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (* (pow x 2) (- (+ (* -1/2 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* (pow x 2) (- (* 1/24 (+ (* -12 (/ (pow (+ 1 (* -1/2 (fabs x))) 2) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 3 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))))) (* 1/24 (+ (* -12 (/ (* (pow (+ 1 (fabs x)) 2) (pow (- (+ (* -1/2 (/ (fabs x) (+ 1 (fabs x)))) (/ 1 (+ 1 (fabs x)))) (* 1/2 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2)))) 2)) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 24 (/ (* (+ 1 (fabs x)) (- (* 1/8 (/ (fabs x) (+ 1 (fabs x)))) (+ (* -1/8 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2))) (* 1/2 (/ (- (+ (* -1/2 (/ (fabs x) (+ 1 (fabs x)))) (/ 1 (+ 1 (fabs x)))) (* 1/2 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2)))) (+ 1 (fabs x))))))) (+ 1 (* (fabs x) (- (fabs x) 1))))))))) (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1)))))) (/ (* (+ 1 (fabs x)) (- (+ (* -1/2 (/ (fabs x) (+ 1 (fabs x)))) (/ 1 (+ 1 (fabs x)))) (* 1/2 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2))))) (+ 1 (* (fabs x) (- (fabs x) 1))))))) (log (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (+ 1 (fabs x)))))>
#<alt (- (+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (* (pow x 2) (- (+ (* -1/2 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* (pow x 2) (- (+ (* 1/24 (+ (* -12 (/ (pow (+ 1 (* -1/2 (fabs x))) 2) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 3 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))))) (* (pow x 2) (- (* 1/720 (+ (* -90 (/ (* (fabs x) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (+ (* -45 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (* 240 (/ (pow (+ 1 (* -1/2 (fabs x))) 3) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 3)))))) (* 1/720 (+ (* -720 (/ (* (pow (+ 1 (fabs x)) 2) (* (- (* 1/8 (/ (fabs x) (+ 1 (fabs x)))) (+ (* -1/8 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2))) (* 1/2 (/ (- (+ (* -1/2 (/ (fabs x) (+ 1 (fabs x)))) (/ 1 (+ 1 (fabs x)))) (* 1/2 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2)))) (+ 1 (fabs x)))))) (- (+ (* -1/2 (/ (fabs x) (+ 1 (fabs x)))) (/ 1 (+ 1 (fabs x)))) (* 1/2 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2)))))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (+ (* 240 (/ (* (pow (+ 1 (fabs x)) 3) (pow (- (+ (* -1/2 (/ (fabs x) (+ 1 (fabs x)))) (/ 1 (+ 1 (fabs x)))) (* 1/2 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2)))) 3)) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 3))) (* 720 (/ (* (+ 1 (fabs x)) (- (* -1/16 (/ (fabs x) (+ 1 (fabs x)))) (+ (* -1/8 (/ (- (+ (* -1/2 (/ (fabs x) (+ 1 (fabs x)))) (/ 1 (+ 1 (fabs x)))) (* 1/2 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2)))) (+ 1 (fabs x)))) (+ (* 1/16 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2))) (* 1/2 (/ (- (* 1/8 (/ (fabs x) (+ 1 (fabs x)))) (+ (* -1/8 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2))) (* 1/2 (/ (- (+ (* -1/2 (/ (fabs x) (+ 1 (fabs x)))) (/ 1 (+ 1 (fabs x)))) (* 1/2 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2)))) (+ 1 (fabs x)))))) (+ 1 (fabs x)))))))) (+ 1 (* (fabs x) (- (fabs x) 1))))))))))) (* 1/24 (+ (* -12 (/ (* (pow (+ 1 (fabs x)) 2) (pow (- (+ (* -1/2 (/ (fabs x) (+ 1 (fabs x)))) (/ 1 (+ 1 (fabs x)))) (* 1/2 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2)))) 2)) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 24 (/ (* (+ 1 (fabs x)) (- (* 1/8 (/ (fabs x) (+ 1 (fabs x)))) (+ (* -1/8 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2))) (* 1/2 (/ (- (+ (* -1/2 (/ (fabs x) (+ 1 (fabs x)))) (/ 1 (+ 1 (fabs x)))) (* 1/2 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2)))) (+ 1 (fabs x))))))) (+ 1 (* (fabs x) (- (fabs x) 1))))))))) (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1)))))) (/ (* (+ 1 (fabs x)) (- (+ (* -1/2 (/ (fabs x) (+ 1 (fabs x)))) (/ 1 (+ 1 (fabs x)))) (* 1/2 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2))))) (+ 1 (* (fabs x) (- (fabs x) 1))))))) (log (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (+ 1 (fabs x)))))>
#<alt (- (* -2 (log (/ 1 x))) (* -1 (log (/ 1 x))))>
#<alt (- (+ (* -2 (log (/ 1 x))) (/ (fabs x) x)) (* -1 (log (/ 1 x))))>
#<alt (- (+ (* -2 (log (/ 1 x))) (+ (* 1/2 (/ (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))) (pow x 2))) (/ (fabs x) x))) (+ (* -1 (log (/ 1 x))) (* 1/2 (/ (+ (* -1 (pow (- (* -1 (fabs x)) (fabs x)) 2)) (* 2 (- (+ 1/2 (pow (fabs x) 2)) (* (fabs x) (- (* -1 (fabs x)) (fabs x)))))) (pow x 2)))))>
#<alt (- (+ (* -2 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (+ (* -2 (pow (fabs x) 3)) (* 6 (* (fabs x) (+ 1 (pow (fabs x) 2)))))) (pow x 3))) (+ (* 1/2 (/ (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))) (pow x 2))) (/ (fabs x) x)))) (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -6 (* (- (* -1 (fabs x)) (fabs x)) (- (+ 1/2 (pow (fabs x) 2)) (* (fabs x) (- (* -1 (fabs x)) (fabs x)))))) (+ (* 2 (pow (- (* -1 (fabs x)) (fabs x)) 3)) (* 6 (- (* -1/2 (fabs x)) (+ (* 1/2 (- (* -1 (fabs x)) (fabs x))) (* (fabs x) (- (+ 1/2 (pow (fabs x) 2)) (* (fabs x) (- (* -1 (fabs x)) (fabs x)))))))))) (pow x 3))) (* 1/2 (/ (+ (* -1 (pow (- (* -1 (fabs x)) (fabs x)) 2)) (* 2 (- (+ 1/2 (pow (fabs x) 2)) (* (fabs x) (- (* -1 (fabs x)) (fabs x)))))) (pow x 2))))))>
#<alt (- (* -2 (log (/ -1 x))) (* -1 (log (/ -1 x))))>
#<alt (- (+ (* -2 (log (/ -1 x))) (* -1 (/ (fabs x) x))) (* -1 (log (/ -1 x))))>
#<alt (- (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (- (* 1/2 (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2))))) (* 1/2 (+ (* -1 (pow (- (* -1 (fabs x)) (fabs x)) 2)) (* 2 (- (+ 1/2 (pow (fabs x) 2)) (* (fabs x) (- (* -1 (fabs x)) (fabs x)))))))) x))) x))) (* -1 (log (/ -1 x))))>
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#<alt (log (+ 1 (* (fabs x) (- (fabs x) 1))))>
#<alt (+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (/ (* (pow x 2) (+ 1 (* -1/2 (fabs x)))) (+ 1 (* (fabs x) (- (fabs x) 1)))))>
#<alt (+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (* (pow x 2) (+ (* -1/2 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* 1/24 (* (pow x 2) (+ (* -12 (/ (pow (+ 1 (* -1/2 (fabs x))) 2) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 3 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1)))))))) (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))))))>
#<alt (+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (* (pow x 2) (+ (* -1/2 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* (pow x 2) (+ (* 1/720 (* (pow x 2) (+ (* -90 (/ (* (fabs x) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (+ (* -45 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (* 240 (/ (pow (+ 1 (* -1/2 (fabs x))) 3) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 3))))))) (* 1/24 (+ (* -12 (/ (pow (+ 1 (* -1/2 (fabs x))) 2) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 3 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))))))) (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))))))>
#<alt (* -2 (log (/ 1 x)))>
#<alt (+ (* -2 (log (/ 1 x))) (* -1 (/ (fabs x) x)))>
#<alt (+ (* -2 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))) (pow x 2)))))>
#<alt (+ (* -2 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (+ (* -2 (pow (fabs x) 3)) (* 6 (* (fabs x) (+ 1 (pow (fabs x) 2)))))) (pow x 3))) (* 1/2 (/ (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))) (pow x 2))))))>
#<alt (* -2 (log (/ -1 x)))>
#<alt (+ (* -2 (log (/ -1 x))) (/ (fabs x) x))>
#<alt (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1/2 (/ (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))) x))) x)))>
#<alt (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (+ (* -2 (pow (fabs x) 3)) (* 6 (* (fabs x) (+ 1 (pow (fabs x) 2)))))) x)) (* 1/2 (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))))) x))) x)))>
#<alt (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (+ 1 (fabs x)))>
#<alt (+ (* (pow x 2) (- (+ (* -1/2 (/ (fabs x) (+ 1 (fabs x)))) (/ 1 (+ 1 (fabs x)))) (* 1/2 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2))))) (+ (/ 1 (+ 1 (fabs x))) (/ (* (fabs x) (- (fabs x) 1)) (+ 1 (fabs x)))))>
#<alt (+ (* (pow x 2) (- (+ (* -1/2 (/ (fabs x) (+ 1 (fabs x)))) (+ (* (pow x 2) (- (* 1/8 (/ (fabs x) (+ 1 (fabs x)))) (+ (* -1/8 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2))) (* 1/2 (/ (- (+ (* -1/2 (/ (fabs x) (+ 1 (fabs x)))) (/ 1 (+ 1 (fabs x)))) (* 1/2 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2)))) (+ 1 (fabs x))))))) (/ 1 (+ 1 (fabs x))))) (* 1/2 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2))))) (+ (/ 1 (+ 1 (fabs x))) (/ (* (fabs x) (- (fabs x) 1)) (+ 1 (fabs x)))))>
#<alt (+ (* (pow x 2) (- (+ (* -1/2 (/ (fabs x) (+ 1 (fabs x)))) (+ (* (pow x 2) (- (+ (* 1/8 (/ (fabs x) (+ 1 (fabs x)))) (* (pow x 2) (- (* -1/16 (/ (fabs x) (+ 1 (fabs x)))) (+ (* -1/8 (/ (- (+ (* -1/2 (/ (fabs x) (+ 1 (fabs x)))) (/ 1 (+ 1 (fabs x)))) (* 1/2 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2)))) (+ 1 (fabs x)))) (+ (* 1/16 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2))) (* 1/2 (/ (- (* 1/8 (/ (fabs x) (+ 1 (fabs x)))) (+ (* -1/8 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2))) (* 1/2 (/ (- (+ (* -1/2 (/ (fabs x) (+ 1 (fabs x)))) (/ 1 (+ 1 (fabs x)))) (* 1/2 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2)))) (+ 1 (fabs x)))))) (+ 1 (fabs x))))))))) (+ (* -1/8 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2))) (* 1/2 (/ (- (+ (* -1/2 (/ (fabs x) (+ 1 (fabs x)))) (/ 1 (+ 1 (fabs x)))) (* 1/2 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2)))) (+ 1 (fabs x))))))) (/ 1 (+ 1 (fabs x))))) (* 1/2 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2))))) (+ (/ 1 (+ 1 (fabs x))) (/ (* (fabs x) (- (fabs x) 1)) (+ 1 (fabs x)))))>
#<alt x>
#<alt (* x (- (+ 1 (* -1 (/ (fabs x) x))) (/ (fabs x) x)))>
#<alt (* x (- (+ 1 (+ (* -1 (/ (fabs x) x)) (+ (/ 1/2 (pow x 2)) (/ (pow (fabs x) 2) (pow x 2))))) (+ (/ (fabs x) x) (/ (* (fabs x) (- (* -1 (fabs x)) (fabs x))) (pow x 2)))))>
#<alt (* x (- (+ 1 (+ (* -1 (/ (fabs x) x)) (+ (* -1/2 (/ (fabs x) (pow x 3))) (+ (/ 1/2 (pow x 2)) (/ (pow (fabs x) 2) (pow x 2)))))) (+ (* 1/2 (/ (- (* -1 (fabs x)) (fabs x)) (pow x 3))) (+ (/ (fabs x) x) (+ (/ (* (fabs x) (- (* -1 (fabs x)) (fabs x))) (pow x 2)) (/ (* (fabs x) (- (+ 1/2 (pow (fabs x) 2)) (* (fabs x) (- (* -1 (fabs x)) (fabs x))))) (pow x 3)))))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- (* -1 (fabs x)) (fabs x)) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- (+ (* -1 (fabs x)) (* -1 (/ (- (+ 1/2 (pow (fabs x) 2)) (* (fabs x) (- (* -1 (fabs x)) (fabs x)))) x))) (fabs x)) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- (+ (* -1 (fabs x)) (* -1 (/ (- (+ 1/2 (+ (* -1 (/ (- (* -1/2 (fabs x)) (+ (* 1/2 (- (* -1 (fabs x)) (fabs x))) (* (fabs x) (- (+ 1/2 (pow (fabs x) 2)) (* (fabs x) (- (* -1 (fabs x)) (fabs x))))))) x)) (pow (fabs x) 2))) (* (fabs x) (- (* -1 (fabs x)) (fabs x)))) x))) (fabs x)) x)))))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt 1>
#<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 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)))))>
Calls

75 calls:

TimeVariablePointExpression
49.0ms
x
@inf
(log (+ 1 (fabs x)))
42.0ms
x
@0
(log (+ 1 (fabs x)))
22.0ms
x
@-inf
(log (+ 1 (fabs x)))
4.0ms
x
@0
(- (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (log (/ (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1)) (+ (fabs x) (sqrt (+ (* x x) 1))))))
3.0ms
x
@-inf
(log (+ 1 (+ (* x (* x 1/2)) (fabs x))))

rewrite498.0ms (4.6%)

Memory
-27.1MiB live, 615.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 196×lower-*.f64
5 192×lower-*.f32
4 536×lower-fma.f64
4 528×lower-fma.f32
3 144×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033326
066331
1254331
22315306
08389302
Stop Event
iter limit
node limit
iter limit
Counts
25 → 767
Calls
Call 1
Inputs
(fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32)))
(copysign.f32 (-.f32 (log1p.f32 (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) (log.f32 (/.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) x)
(-.f32 (log1p.f32 (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) (log.f32 (/.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(log1p.f32 (fabs.f32 x))
(fabs.f32 x)
(log.f32 (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))) x)
(+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))
(fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))
(copysign.f32 (log.f32 (+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x))) x)
(log.f32 (+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x)))
(+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x))
(-.f32 (fabs.f32 x) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) x)
(log.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(log.f32 (/.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(log1p.f32 (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(/.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(*.f32 x #s(literal 1/2 binary32))
(/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
Outputs
(+.f32 (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (*.f32 x x))
(+.f32 (*.f32 x x) (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(+.f32 (*.f32 x x) (*.f32 #s(literal 1 binary32) (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(+.f32 (*.f32 x x) (*.f32 (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))
(+.f32 (*.f32 #s(literal 1 binary32) (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) (*.f32 x x))
(+.f32 (*.f32 (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)) (*.f32 x x))
(pow.f32 (/.f32 (fma.f32 x (*.f32 x (*.f32 x x)) (*.f32 (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (-.f32 (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (*.f32 x x)))) (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (*.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 x x (*.f32 (neg.f32 (fabs.f32 x)) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) (*.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (*.f32 x x)) (fma.f32 x x (*.f32 (neg.f32 (fabs.f32 x)) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))) #s(literal -1 binary32))
(fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(fma.f32 x x (*.f32 #s(literal 1 binary32) (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(fma.f32 x x (*.f32 (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))
(fma.f32 x (*.f32 x #s(literal 1 binary32)) (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(fma.f32 x (*.f32 x #s(literal 1 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(fma.f32 x (*.f32 x #s(literal 1 binary32)) (*.f32 (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))
(fma.f32 (fabs.f32 x) (fabs.f32 x) (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(fma.f32 (fabs.f32 x) (fabs.f32 x) (*.f32 #s(literal 1 binary32) (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(fma.f32 (fabs.f32 x) (fabs.f32 x) (*.f32 (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))
(fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (*.f32 x x))
(fma.f32 (fabs.f32 x) (fabs.f32 (*.f32 x #s(literal 1 binary32))) (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(fma.f32 (fabs.f32 x) (fabs.f32 (*.f32 x #s(literal 1 binary32))) (*.f32 #s(literal 1 binary32) (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(fma.f32 (fabs.f32 x) (fabs.f32 (*.f32 x #s(literal 1 binary32))) (*.f32 (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (*.f32 x x))
(fma.f32 #s(literal 1 binary32) (*.f32 x x) (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(fma.f32 #s(literal 1 binary32) (*.f32 x x) (*.f32 #s(literal 1 binary32) (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(fma.f32 #s(literal 1 binary32) (*.f32 x x) (*.f32 (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))
(fma.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fabs.f32 x) (*.f32 x x))
(fma.f32 (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32) (*.f32 x x))
(fma.f32 (*.f32 x x) #s(literal 1 binary32) (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(fma.f32 (*.f32 x x) #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(fma.f32 (*.f32 x x) #s(literal 1 binary32) (*.f32 (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))
(fma.f32 (neg.f32 x) (neg.f32 x) (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(fma.f32 (neg.f32 x) (neg.f32 x) (*.f32 #s(literal 1 binary32) (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(fma.f32 (neg.f32 x) (neg.f32 x) (*.f32 (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))
(fma.f32 (neg.f32 (neg.f32 x)) (neg.f32 (neg.f32 x)) (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(fma.f32 (neg.f32 (neg.f32 x)) (neg.f32 (neg.f32 x)) (*.f32 #s(literal 1 binary32) (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(fma.f32 (neg.f32 (neg.f32 x)) (neg.f32 (neg.f32 x)) (*.f32 (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))
(fma.f32 (exp.f32 (log.f32 x)) (exp.f32 (log.f32 x)) (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
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(/.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 x x #s(literal 1 binary32)))) (neg.f32 (neg.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(/.f32 (*.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (fma.f32 x (*.f32 x (*.f32 x x)) (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(/.f32 (*.f32 (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (fma.f32 x x #s(literal -1 binary32)))
(/.f32 (sqrt.f32 (neg.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)) #s(literal 1 binary32)))) (sqrt.f32 (neg.f32 (fma.f32 x (*.f32 x (*.f32 x x)) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
(/.f32 (sqrt.f32 (neg.f32 (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal -1 binary32)))) (sqrt.f32 (neg.f32 (fma.f32 x x #s(literal -1 binary32)))))
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x x))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
(*.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(*.f32 (fma.f32 x x #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(*.f32 (neg.f32 (fma.f32 x x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)) #s(literal 1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x (*.f32 x x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)) #s(literal 1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x (*.f32 x x)) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
(*.f32 (sqrt.f32 (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal -1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal -1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))))
(*.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32)))
(*.f32 (pow.f32 (/.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)) #s(literal 1 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x (*.f32 x x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(*.f32 (pow.f32 (/.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal -1 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))))
(*.f32 (sqrt.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (sqrt.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(neg.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (neg.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(neg.f32 (/.f32 (neg.f32 (fma.f32 x x #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(exp.f32 (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 x x))))
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal -1 binary32)))
(fabs.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/2 binary32))
(pow.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) #s(literal 1 binary32))
(pow.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))) #s(literal 1/4 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (fma.f32 x (*.f32 x (*.f32 x x)) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal -1 binary32)))))
(/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(/.f32 (neg.f32 (fma.f32 x x #s(literal 1 binary32))) (neg.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fma.f32 x (*.f32 x (*.f32 x x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(/.f32 (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal -1 binary32)) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fma.f32 x x #s(literal -1 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(/.f32 (sqrt.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x (*.f32 x (*.f32 x x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(/.f32 (sqrt.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)) #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 x x)))))
(/.f32 (sqrt.f32 (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal -1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(/.f32 (*.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 x (*.f32 x (*.f32 x x)) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 (*.f32 (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 x x #s(literal 1 binary32)))) (neg.f32 (neg.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(/.f32 (*.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (fma.f32 x (*.f32 x (*.f32 x x)) (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(/.f32 (*.f32 (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (fma.f32 x x #s(literal -1 binary32)))
(/.f32 (sqrt.f32 (neg.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)) #s(literal 1 binary32)))) (sqrt.f32 (neg.f32 (fma.f32 x (*.f32 x (*.f32 x x)) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
(/.f32 (sqrt.f32 (neg.f32 (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal -1 binary32)))) (sqrt.f32 (neg.f32 (fma.f32 x x #s(literal -1 binary32)))))
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x x))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
(*.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(*.f32 (fma.f32 x x #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(*.f32 (neg.f32 (fma.f32 x x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)) #s(literal 1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x (*.f32 x x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)) #s(literal 1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x (*.f32 x x)) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
(*.f32 (sqrt.f32 (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal -1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal -1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))))
(*.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32)))
(*.f32 (pow.f32 (/.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)) #s(literal 1 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x (*.f32 x x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(*.f32 (pow.f32 (/.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal -1 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))))
(*.f32 (sqrt.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (sqrt.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))

simplify594.0ms (5.5%)

Memory
27.7MiB live, 702.2MiB allocated
Algorithm
egg-herbie
Rules
10 338×lower-fma.f64
10 338×lower-fma.f32
5 798×lower-*.f64
5 798×lower-*.f32
5 146×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07277799
122957362
081586681
Stop Event
iter limit
node limit
Counts
300 → 295
Calls
Call 1
Inputs
(* (fabs x) (- (fabs x) 1))
(+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (* -1/2 (fabs x)))))
(+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* 1/8 (* (pow x 2) (fabs x)))))))
(+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* (pow x 2) (+ (* -1/16 (* (pow x 2) (fabs x))) (* 1/8 (fabs x))))))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (fabs x) x))))
(* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (/ (pow (fabs x) 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (+ (* -1/2 (/ (fabs x) (pow x 3))) (/ (pow (fabs x) 2) (pow x 2))))))
(pow x 2)
(* (pow x 2) (+ 1 (/ (fabs x) x)))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (pow (fabs x) 2) x))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* 1/2 (/ (fabs x) x)) (pow (fabs x) 2)) x))) x))))
(+ 1 (* (fabs x) (- (fabs x) 1)))
(+ 1 (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (* -1/2 (fabs x))))))
(+ 1 (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* 1/8 (* (pow x 2) (fabs x))))))))
(+ 1 (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* (pow x 2) (+ (* -1/16 (* (pow x 2) (fabs x))) (* 1/8 (fabs x)))))))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (fabs x) x))))
(* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (+ (/ 1 (pow x 2)) (/ (pow (fabs x) 2) (pow x 2))))))
(* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (+ (* -1/2 (/ (fabs x) (pow x 3))) (+ (/ 1 (pow x 2)) (/ (pow (fabs x) 2) (pow x 2)))))))
(pow x 2)
(* (pow x 2) (+ 1 (/ (fabs x) x)))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ 1 (pow (fabs x) 2)) x))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ 1 (+ (* 1/2 (/ (fabs x) x)) (pow (fabs x) 2))) x))) x))))
(copysign (- (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2))) (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (- (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2))) (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (- (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2))) (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (- (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2))) (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (- (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2))) (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (- (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2))) (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (- (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2))) (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (- (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2))) (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (- (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2))) (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (- (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2))) (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (- (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2))) (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (- (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2))) (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(- (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (log (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (+ 1 (fabs x)))))
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(+ (log (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (+ 1 (fabs x)))) (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (* (pow x 2) (+ (* -720 (/ (* (pow (+ 1 (fabs x)) 2) (* (- (* 1/8 (/ (fabs x) (+ 1 (fabs x)))) (+ (* -1/8 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2))) (* 1/2 (/ (- (+ (* -1/2 (/ (fabs x) (+ 1 (fabs x)))) (/ 1 (+ 1 (fabs x)))) (* 1/2 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2)))) (+ 1 (fabs x)))))) (- (+ (* -1/2 (/ (fabs x) (+ 1 (fabs x)))) (/ 1 (+ 1 (fabs x)))) (* 1/2 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2)))))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (+ (* 240 (/ (* (pow (+ 1 (fabs x)) 3) (pow (- (+ (* -1/2 (/ (fabs x) (+ 1 (fabs x)))) (/ 1 (+ 1 (fabs x)))) (* 1/2 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2)))) 3)) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 3))) (* 720 (/ (* (+ 1 (fabs x)) (- (* -1/16 (/ (fabs x) (+ 1 (fabs x)))) (+ (* -1/8 (/ (- (+ (* -1/2 (/ (fabs x) (+ 1 (fabs x)))) (/ 1 (+ 1 (fabs x)))) (* 1/2 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2)))) (+ 1 (fabs x)))) (+ (* 1/16 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2))) (* 1/2 (/ (- (* 1/8 (/ (fabs x) (+ 1 (fabs x)))) (+ (* -1/8 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2))) (* 1/2 (/ (- (+ (* -1/2 (/ (fabs x) (+ 1 (fabs x)))) (/ 1 (+ 1 (fabs x)))) (* 1/2 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2)))) (+ 1 (fabs x)))))) (+ 1 (fabs x)))))))) (+ 1 (* (fabs x) (- (fabs x) 1))))))))) (* 1/24 (+ (* -12 (/ (* (pow (+ 1 (fabs x)) 2) (pow (- (+ (* -1/2 (/ (fabs x) (+ 1 (fabs x)))) (/ 1 (+ 1 (fabs x)))) (* 1/2 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2)))) 2)) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 24 (/ (* (+ 1 (fabs x)) (- (* 1/8 (/ (fabs x) (+ 1 (fabs x)))) (+ (* -1/8 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2))) (* 1/2 (/ (- (+ (* -1/2 (/ (fabs x) (+ 1 (fabs x)))) (/ 1 (+ 1 (fabs x)))) (* 1/2 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2)))) (+ 1 (fabs x))))))) (+ 1 (* (fabs x) (- (fabs x) 1))))))))) (/ (* (+ 1 (fabs x)) (- (+ (* -1/2 (/ (fabs x) (+ 1 (fabs x)))) (/ 1 (+ 1 (fabs x)))) (* 1/2 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2))))) (+ 1 (* (fabs x) (- (fabs x) 1)))))))
(* -1 (log (/ 1 x)))
(- (+ (* -1 (log (/ 1 x))) (* -1 (/ (fabs x) x))) (/ (fabs x) x))
(- (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ (* -1 (pow (- (* -1 (fabs x)) (fabs x)) 2)) (* 2 (- (+ 1/2 (pow (fabs x) 2)) (* (fabs x) (- (* -1 (fabs x)) (fabs x)))))) (pow x 2))))) (/ (fabs x) x))
(- (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (+ (* 1/6 (/ (+ (* -6 (* (- (* -1 (fabs x)) (fabs x)) (- (+ 1/2 (pow (fabs x) 2)) (* (fabs x) (- (* -1 (fabs x)) (fabs x)))))) (+ (* 2 (pow (- (* -1 (fabs x)) (fabs x)) 3)) (* 6 (- (* -1/2 (fabs x)) (+ (* 1/2 (- (* -1 (fabs x)) (fabs x))) (* (fabs x) (- (+ 1/2 (pow (fabs x) 2)) (* (fabs x) (- (* -1 (fabs x)) (fabs x)))))))))) (pow x 3))) (* 1/2 (/ (+ (* -1 (pow (- (* -1 (fabs x)) (fabs x)) 2)) (* 2 (- (+ 1/2 (pow (fabs x) 2)) (* (fabs x) (- (* -1 (fabs x)) (fabs x)))))) (pow x 2)))))) (/ (fabs x) x))
(* -1 (log (/ -1 x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (fabs x)) (fabs x)) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (- (+ (* -1 (fabs x)) (* -1/2 (/ (+ (* -1 (pow (- (* -1 (fabs x)) (fabs x)) 2)) (* 2 (- (+ 1/2 (pow (fabs x) 2)) (* (fabs x) (- (* -1 (fabs x)) (fabs x)))))) x))) (fabs x)) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (- (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (* (- (* -1 (fabs x)) (fabs x)) (- (+ 1/2 (pow (fabs x) 2)) (* (fabs x) (- (* -1 (fabs x)) (fabs x)))))) (+ (* 2 (pow (- (* -1 (fabs x)) (fabs x)) 3)) (* 6 (- (* -1/2 (fabs x)) (+ (* 1/2 (- (* -1 (fabs x)) (fabs x))) (* (fabs x) (- (+ 1/2 (pow (fabs x) 2)) (* (fabs x) (- (* -1 (fabs x)) (fabs x)))))))))) x)) (* 1/2 (+ (* -1 (pow (- (* -1 (fabs x)) (fabs x)) 2)) (* 2 (- (+ 1/2 (pow (fabs x) 2)) (* (fabs x) (- (* -1 (fabs x)) (fabs x)))))))) x))) (fabs x)) x)))
(- (fabs x) 1)
(- (+ (fabs x) (* -1/2 (pow x 2))) 1)
(- (+ (fabs x) (* (pow x 2) (- (* 1/8 (pow x 2)) 1/2))) 1)
(- (+ (fabs x) (* (pow x 2) (- (* (pow x 2) (+ 1/8 (* -1/16 (pow x 2)))) 1/2))) 1)
(* -1 x)
(* x (- (/ (fabs x) x) 1))
(* x (- (/ (fabs x) x) (+ 1 (/ 1/2 (pow x 2)))))
(* x (- (+ (* 1/8 (/ 1 (pow x 4))) (/ (fabs x) x)) (+ 1 (/ 1/2 (pow x 2)))))
x
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (fabs x) (* 1/2 (/ 1 x))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (fabs x) (* -1 (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x))) x)) 1)))
(log (+ 1 (* (fabs x) (- (fabs x) 1))))
(+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (/ (* (pow x 2) (+ 1 (* -1/2 (fabs x)))) (+ 1 (* (fabs x) (- (fabs x) 1)))))
(+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (* (pow x 2) (+ (* -1/2 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* 1/24 (* (pow x 2) (+ (* -12 (/ (pow (+ 1 (* -1/2 (fabs x))) 2) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 3 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1)))))))) (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))))))
(+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (* (pow x 2) (+ (* -1/2 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* (pow x 2) (+ (* 1/720 (* (pow x 2) (+ (* -90 (/ (* (fabs x) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (+ (* -45 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (* 240 (/ (pow (+ 1 (* -1/2 (fabs x))) 3) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 3))))))) (* 1/24 (+ (* -12 (/ (pow (+ 1 (* -1/2 (fabs x))) 2) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 3 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))))))) (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))))))
(* -2 (log (/ 1 x)))
(+ (* -2 (log (/ 1 x))) (* -1 (/ (fabs x) x)))
(+ (* -2 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))) (pow x 2)))))
(+ (* -2 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (+ (* -2 (pow (fabs x) 3)) (* 6 (* (fabs x) (+ 1 (pow (fabs x) 2)))))) (pow x 3))) (* 1/2 (/ (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))) (pow x 2))))))
(* -2 (log (/ -1 x)))
(+ (* -2 (log (/ -1 x))) (/ (fabs x) x))
(+ (* -2 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1/2 (/ (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))) x))) x)))
(+ (* -2 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (+ (* -2 (pow (fabs x) 3)) (* 6 (* (fabs x) (+ 1 (pow (fabs x) 2)))))) x)) (* 1/2 (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))))) x))) x)))
(/ (+ 1 (* (fabs x) (- (fabs x) 1))) (+ 1 (fabs x)))
(+ (* (pow x 2) (- (+ (* -1/2 (/ (fabs x) (+ 1 (fabs x)))) (/ 1 (+ 1 (fabs x)))) (* 1/2 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2))))) (+ (/ 1 (+ 1 (fabs x))) (/ (* (fabs x) (- (fabs x) 1)) (+ 1 (fabs x)))))
(+ (* (pow x 2) (- (+ (* -1/2 (/ (fabs x) (+ 1 (fabs x)))) (+ (* (pow x 2) (- (* 1/8 (/ (fabs x) (+ 1 (fabs x)))) (+ (* -1/8 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2))) (* 1/2 (/ (- (+ (* -1/2 (/ (fabs x) (+ 1 (fabs x)))) (/ 1 (+ 1 (fabs x)))) (* 1/2 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2)))) (+ 1 (fabs x))))))) (/ 1 (+ 1 (fabs x))))) (* 1/2 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2))))) (+ (/ 1 (+ 1 (fabs x))) (/ (* (fabs x) (- (fabs x) 1)) (+ 1 (fabs x)))))
(+ (* (pow x 2) (- (+ (* -1/2 (/ (fabs x) (+ 1 (fabs x)))) (+ (* (pow x 2) (- (+ (* 1/8 (/ (fabs x) (+ 1 (fabs x)))) (* (pow x 2) (- (* -1/16 (/ (fabs x) (+ 1 (fabs x)))) (+ (* -1/8 (/ (- (+ (* -1/2 (/ (fabs x) (+ 1 (fabs x)))) (/ 1 (+ 1 (fabs x)))) (* 1/2 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2)))) (+ 1 (fabs x)))) (+ (* 1/16 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2))) (* 1/2 (/ (- (* 1/8 (/ (fabs x) (+ 1 (fabs x)))) (+ (* -1/8 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2))) (* 1/2 (/ (- (+ (* -1/2 (/ (fabs x) (+ 1 (fabs x)))) (/ 1 (+ 1 (fabs x)))) (* 1/2 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2)))) (+ 1 (fabs x)))))) (+ 1 (fabs x))))))))) (+ (* -1/8 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2))) (* 1/2 (/ (- (+ (* -1/2 (/ (fabs x) (+ 1 (fabs x)))) (/ 1 (+ 1 (fabs x)))) (* 1/2 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2)))) (+ 1 (fabs x))))))) (/ 1 (+ 1 (fabs x))))) (* 1/2 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2))))) (+ (/ 1 (+ 1 (fabs x))) (/ (* (fabs x) (- (fabs x) 1)) (+ 1 (fabs x)))))
x
(* x (- (+ 1 (* -1 (/ (fabs x) x))) (/ (fabs x) x)))
(* x (- (+ 1 (+ (* -1 (/ (fabs x) x)) (+ (/ 1/2 (pow x 2)) (/ (pow (fabs x) 2) (pow x 2))))) (+ (/ (fabs x) x) (/ (* (fabs x) (- (* -1 (fabs x)) (fabs x))) (pow x 2)))))
(* x (- (+ 1 (+ (* -1 (/ (fabs x) x)) (+ (* -1/2 (/ (fabs x) (pow x 3))) (+ (/ 1/2 (pow x 2)) (/ (pow (fabs x) 2) (pow x 2)))))) (+ (* 1/2 (/ (- (* -1 (fabs x)) (fabs x)) (pow x 3))) (+ (/ (fabs x) x) (+ (/ (* (fabs x) (- (* -1 (fabs x)) (fabs x))) (pow x 2)) (/ (* (fabs x) (- (+ 1/2 (pow (fabs x) 2)) (* (fabs x) (- (* -1 (fabs x)) (fabs x))))) (pow x 3)))))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (fabs x)) (fabs x)) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (+ (* -1 (fabs x)) (* -1 (/ (- (+ 1/2 (pow (fabs x) 2)) (* (fabs x) (- (* -1 (fabs x)) (fabs x)))) x))) (fabs x)) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (+ (* -1 (fabs x)) (* -1 (/ (- (+ 1/2 (+ (* -1 (/ (- (* -1/2 (fabs x)) (+ (* 1/2 (- (* -1 (fabs x)) (fabs x))) (* (fabs x) (- (+ 1/2 (pow (fabs x) 2)) (* (fabs x) (- (* -1 (fabs x)) (fabs x))))))) x)) (pow (fabs x) 2))) (* (fabs x) (- (* -1 (fabs x)) (fabs x)))) x))) (fabs x)) x)))))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
1
(+ 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)))))
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)))))
Outputs
(* (fabs x) (- (fabs x) 1))
(fma.f32 x x (neg.f32 (fabs.f32 x)))
(+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (* -1/2 (fabs x)))))
(fma.f32 x (*.f32 x (fma.f32 (fabs.f32 x) #s(literal -1/2 binary32) #s(literal 1 binary32))) (fma.f32 x x (neg.f32 (fabs.f32 x))))
(+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* 1/8 (* (pow x 2) (fabs x)))))))
(fma.f32 (*.f32 x x) (fma.f32 (fabs.f32 x) (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)) (fma.f32 x x (neg.f32 (fabs.f32 x))))
(+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* (pow x 2) (+ (* -1/16 (* (pow x 2) (fabs x))) (* 1/8 (fabs x))))))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (fabs.f32 x) (fma.f32 (*.f32 x x) #s(literal -1/16 binary32) #s(literal 1/8 binary32))) (fma.f32 (fabs.f32 x) #s(literal -1/2 binary32) #s(literal 1 binary32))) (fma.f32 x x (neg.f32 (fabs.f32 x))))
(pow x 2)
(*.f32 x x)
(* (pow x 2) (+ 1 (* -1 (/ (fabs x) x))))
(*.f32 x (fma.f32 (/.f32 (fabs.f32 x) x) (neg.f32 x) x))
(* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (/ (pow (fabs x) 2) (pow x 2)))))
(*.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (-.f32 (/.f32 (*.f32 x x) (*.f32 x x)) (/.f32 (fabs.f32 x) x))))
(* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (+ (* -1/2 (/ (fabs x) (pow x 3))) (/ (pow (fabs x) 2) (pow x 2))))))
(*.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (-.f32 (fma.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) (*.f32 x (*.f32 x x))) (/.f32 (*.f32 x x) (*.f32 x x))) (/.f32 (fabs.f32 x) x))))
(pow x 2)
(*.f32 x x)
(* (pow x 2) (+ 1 (/ (fabs x) x)))
(*.f32 x (fma.f32 x (/.f32 (fabs.f32 x) x) x))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (pow (fabs x) 2) x))) x))))
(*.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (neg.f32 (fabs.f32 x)) (/.f32 (*.f32 x x) x)) x)))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* 1/2 (/ (fabs x) x)) (pow (fabs x) 2)) x))) x))))
(*.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (neg.f32 (fabs.f32 x)) (/.f32 (fma.f32 (/.f32 (fabs.f32 x) x) #s(literal 1/2 binary32) (*.f32 x x)) x)) x)))
(+ 1 (* (fabs x) (- (fabs x) 1)))
(fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal 1 binary32))
(+ 1 (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (* -1/2 (fabs x))))))
(+.f32 (fma.f32 x x (neg.f32 (fabs.f32 x))) (fma.f32 (*.f32 x x) (fma.f32 (fabs.f32 x) #s(literal -1/2 binary32) #s(literal 1 binary32)) #s(literal 1 binary32)))
(+ 1 (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* 1/8 (* (pow x 2) (fabs x))))))))
(fma.f32 (*.f32 x x) (fma.f32 (fabs.f32 x) (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)) (fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal 1 binary32)))
(+ 1 (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* (pow x 2) (+ (* -1/16 (* (pow x 2) (fabs x))) (* 1/8 (fabs x)))))))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (fabs.f32 x) (fma.f32 (*.f32 x x) #s(literal -1/16 binary32) #s(literal 1/8 binary32))) (fma.f32 (fabs.f32 x) #s(literal -1/2 binary32) #s(literal 1 binary32))) (fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal 1 binary32)))
(pow x 2)
(*.f32 x x)
(* (pow x 2) (+ 1 (* -1 (/ (fabs x) x))))
(*.f32 x (fma.f32 (/.f32 (fabs.f32 x) x) (neg.f32 x) x))
(* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (+ (/ 1 (pow x 2)) (/ (pow (fabs x) 2) (pow x 2))))))
(*.f32 (*.f32 x x) (+.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) x)) (+.f32 (/.f32 (*.f32 x x) (*.f32 x x)) (/.f32 #s(literal 1 binary32) (*.f32 x x)))))
(* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (+ (* -1/2 (/ (fabs x) (pow x 3))) (+ (/ 1 (pow x 2)) (/ (pow (fabs x) 2) (pow x 2)))))))
(*.f32 (*.f32 x x) (+.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) x)) (+.f32 (/.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (*.f32 x x))))))
(pow x 2)
(*.f32 x x)
(* (pow x 2) (+ 1 (/ (fabs x) x)))
(*.f32 x (fma.f32 x (/.f32 (fabs.f32 x) x) x))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ 1 (pow (fabs x) 2)) x))) x))))
(*.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (neg.f32 (fabs.f32 x)) (/.f32 (fma.f32 x x #s(literal 1 binary32)) x)) x)))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ 1 (+ (* 1/2 (/ (fabs x) x)) (pow (fabs x) 2))) x))) x))))
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(fma.f32 (*.f32 x x) (fma.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (fma.f32 x (*.f32 x (-.f32 (/.f32 (*.f32 (fabs.f32 x) #s(literal 1/8 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 (fma.f32 (fma.f32 x x (neg.f32 (fabs.f32 x))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (*.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))))) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 (fma.f32 (fma.f32 x x (neg.f32 (fabs.f32 x))) #s(literal -1/8 binary32) #s(literal -1/8 binary32)) (*.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))))) (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 (fma.f32 (fma.f32 x x (neg.f32 (fabs.f32 x))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (*.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))))) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 (fma.f32 x x (neg.f32 (fabs.f32 x))) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))))
(+ (* (pow x 2) (- (+ (* -1/2 (/ (fabs x) (+ 1 (fabs x)))) (+ (* (pow x 2) (- (+ (* 1/8 (/ (fabs x) (+ 1 (fabs x)))) (* (pow x 2) (- (* -1/16 (/ (fabs x) (+ 1 (fabs x)))) (+ (* -1/8 (/ (- (+ (* -1/2 (/ (fabs x) (+ 1 (fabs x)))) (/ 1 (+ 1 (fabs x)))) (* 1/2 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2)))) (+ 1 (fabs x)))) (+ (* 1/16 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2))) (* 1/2 (/ (- (* 1/8 (/ (fabs x) (+ 1 (fabs x)))) (+ (* -1/8 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2))) (* 1/2 (/ (- (+ (* -1/2 (/ (fabs x) (+ 1 (fabs x)))) (/ 1 (+ 1 (fabs x)))) (* 1/2 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2)))) (+ 1 (fabs x)))))) (+ 1 (fabs x))))))))) (+ (* -1/8 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2))) (* 1/2 (/ (- (+ (* -1/2 (/ (fabs x) (+ 1 (fabs x)))) (/ 1 (+ 1 (fabs x)))) (* 1/2 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2)))) (+ 1 (fabs x))))))) (/ 1 (+ 1 (fabs x))))) (* 1/2 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2))))) (+ (/ 1 (+ 1 (fabs x))) (/ (* (fabs x) (- (fabs x) 1)) (+ 1 (fabs x)))))
(fma.f32 (*.f32 x x) (fma.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (-.f32 (/.f32 (*.f32 (fabs.f32 x) #s(literal -1/16 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (fabs.f32 x) #s(literal 1/8 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 (fma.f32 (fma.f32 x x (neg.f32 (fabs.f32 x))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (*.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))))) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 (fma.f32 (fma.f32 x x (neg.f32 (fabs.f32 x))) #s(literal -1/8 binary32) #s(literal -1/8 binary32)) (*.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))))) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (fma.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 (fma.f32 (fma.f32 x x (neg.f32 (fabs.f32 x))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (*.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))))) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 (fma.f32 (fma.f32 x x (neg.f32 (fabs.f32 x))) #s(literal 1/16 binary32) #s(literal 1/16 binary32)) (*.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))))) (-.f32 (/.f32 (*.f32 (fabs.f32 x) #s(literal 1/8 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 (fma.f32 (fma.f32 x x (neg.f32 (fabs.f32 x))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (*.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))))) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 (fma.f32 (fma.f32 x x (neg.f32 (fabs.f32 x))) #s(literal -1/8 binary32) #s(literal -1/8 binary32)) (*.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))))) (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 (fma.f32 (fma.f32 x x (neg.f32 (fabs.f32 x))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (*.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))))) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 (fma.f32 x x (neg.f32 (fabs.f32 x))) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))))
x
(* x (- (+ 1 (* -1 (/ (fabs x) x))) (/ (fabs x) x)))
(+.f32 x (*.f32 (/.f32 (*.f32 (fabs.f32 x) #s(literal -2 binary32)) x) x))
(* x (- (+ 1 (+ (* -1 (/ (fabs x) x)) (+ (/ 1/2 (pow x 2)) (/ (pow (fabs x) 2) (pow x 2))))) (+ (/ (fabs x) x) (/ (* (fabs x) (- (* -1 (fabs x)) (fabs x))) (pow x 2)))))
(*.f32 x (-.f32 (+.f32 (+.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) x)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (/.f32 (*.f32 x x) (*.f32 x x))) (fma.f32 (*.f32 (fabs.f32 x) #s(literal -2 binary32)) (/.f32 (fabs.f32 x) (*.f32 x x)) (/.f32 (fabs.f32 x) x))))
(* x (- (+ 1 (+ (* -1 (/ (fabs x) x)) (+ (* -1/2 (/ (fabs x) (pow x 3))) (+ (/ 1/2 (pow x 2)) (/ (pow (fabs x) 2) (pow x 2)))))) (+ (* 1/2 (/ (- (* -1 (fabs x)) (fabs x)) (pow x 3))) (+ (/ (fabs x) x) (+ (/ (* (fabs x) (- (* -1 (fabs x)) (fabs x))) (pow x 2)) (/ (* (fabs x) (- (+ 1/2 (pow (fabs x) 2)) (* (fabs x) (- (* -1 (fabs x)) (fabs x))))) (pow x 3)))))))
(*.f32 x (+.f32 (+.f32 (-.f32 (fma.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) (*.f32 x (*.f32 x x))) (/.f32 (*.f32 x x) (*.f32 x x))) (/.f32 (fabs.f32 x) x)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) (fma.f32 (fabs.f32 x) (+.f32 (/.f32 (*.f32 (fabs.f32 x) #s(literal -2 binary32)) (*.f32 x x)) (/.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (*.f32 (fabs.f32 x) #s(literal -2 binary32))) #s(literal 1/2 binary32)) (*.f32 x (*.f32 x x)))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (fabs.f32 x) #s(literal -2 binary32)) (*.f32 x (*.f32 x x))) (/.f32 (fabs.f32 x) x))))))
(* -1 x)
(neg.f32 x)
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (fabs x)) (fabs x)) x)))))
(neg.f32 (fma.f32 (neg.f32 x) (/.f32 (*.f32 (fabs.f32 x) #s(literal -2 binary32)) x) x))
(* -1 (* x (+ 1 (* -1 (/ (- (+ (* -1 (fabs x)) (* -1 (/ (- (+ 1/2 (pow (fabs x) 2)) (* (fabs x) (- (* -1 (fabs x)) (fabs x)))) x))) (fabs x)) x)))))
(neg.f32 (fma.f32 x (/.f32 (+.f32 (neg.f32 (/.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (*.f32 (fabs.f32 x) #s(literal -2 binary32))) #s(literal 1/2 binary32)) x)) (*.f32 (fabs.f32 x) #s(literal -2 binary32))) (neg.f32 x)) x))
(* -1 (* x (+ 1 (* -1 (/ (- (+ (* -1 (fabs x)) (* -1 (/ (- (+ 1/2 (+ (* -1 (/ (- (* -1/2 (fabs x)) (+ (* 1/2 (- (* -1 (fabs x)) (fabs x))) (* (fabs x) (- (+ 1/2 (pow (fabs x) 2)) (* (fabs x) (- (* -1 (fabs x)) (fabs x))))))) x)) (pow (fabs x) 2))) (* (fabs x) (- (* -1 (fabs x)) (fabs x)))) x))) (fabs x)) x)))))
(neg.f32 (fma.f32 x (/.f32 (+.f32 (/.f32 (+.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 (fabs.f32 x) #s(literal -1/2 binary32)) (fma.f32 (fabs.f32 x) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (*.f32 (fabs.f32 x) #s(literal -2 binary32))) #s(literal 1/2 binary32)) (*.f32 #s(literal 1/2 binary32) (*.f32 (fabs.f32 x) #s(literal -2 binary32))))) x)) (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (*.f32 (fabs.f32 x) #s(literal -2 binary32))))) (neg.f32 x)) (*.f32 (fabs.f32 x) #s(literal -2 binary32))) (neg.f32 x)) x))
(* 1/2 x)
(*.f32 x #s(literal 1/2 binary32))
(* 1/2 x)
(*.f32 x #s(literal 1/2 binary32))
(* 1/2 x)
(*.f32 x #s(literal 1/2 binary32))
(* 1/2 x)
(*.f32 x #s(literal 1/2 binary32))
(* 1/2 x)
(*.f32 x #s(literal 1/2 binary32))
(* 1/2 x)
(*.f32 x #s(literal 1/2 binary32))
(* 1/2 x)
(*.f32 x #s(literal 1/2 binary32))
(* 1/2 x)
(*.f32 x #s(literal 1/2 binary32))
(* 1/2 x)
(*.f32 x #s(literal 1/2 binary32))
(* 1/2 x)
(*.f32 x #s(literal 1/2 binary32))
(* 1/2 x)
(*.f32 x #s(literal 1/2 binary32))
(* 1/2 x)
(*.f32 x #s(literal 1/2 binary32))
1
#s(literal 1 binary32)
(+ 1 (* 1/2 (pow x 2)))
(fma.f32 x (*.f32 x #s(literal 1/2 binary32)) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal -1/8 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/16 binary32)) #s(literal -1/8 binary32))) #s(literal 1/2 binary32)) #s(literal 1 binary32))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(fma.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x)
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(*.f32 x (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(*.f32 x (+.f32 (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32)))) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))))
(* -1 x)
(neg.f32 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(neg.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(*.f32 (neg.f32 x) (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 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 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32)))) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))))
1
#s(literal 1 binary32)
(+ 1 (* 1/2 (pow x 2)))
(fma.f32 x (*.f32 x #s(literal 1/2 binary32)) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal -1/8 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/16 binary32)) #s(literal -1/8 binary32))) #s(literal 1/2 binary32)) #s(literal 1 binary32))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(fma.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x)
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(*.f32 x (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(*.f32 x (+.f32 (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32)))) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))))
(* -1 x)
(neg.f32 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(neg.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(*.f32 (neg.f32 x) (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 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 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32)))) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))))

eval280.0ms (2.6%)

Memory
-10.8MiB live, 329.9MiB allocated
Compiler

Compiled 64 013 to 5 807 computations (90.9% saved)

prune185.0ms (1.7%)

Memory
21.7MiB live, 499.0MiB allocated
Pruning

17 alts after pruning (10 fresh and 7 done)

PrunedKeptTotal
New1 41531 418
Fresh3710
Picked145
Done033
Total1 419171 436
Accuracy
100.0%
Counts
1 436 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.3%
(copysign.f32 (fma.f32 x (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (fabs.f32 x))) x)
73.8%
(copysign.f32 (-.f32 (log1p.f32 (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) (log.f32 (/.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) x)
35.7%
(copysign.f32 (-.f32 (log.f32 (fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32)))) (log.f32 (/.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) x)
14.9%
(copysign.f32 (neg.f32 (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x)))) (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))) x)
14.9%
(copysign.f32 (neg.f32 (log.f32 (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x))))) x)
37.8%
(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) x)
60.7%
(copysign.f32 (log1p.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))) x)
70.2%
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
25.8%
(copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x)
28.0%
(copysign.f32 (log.f32 (-.f32 (fabs.f32 x) x)) x)
25.8%
(copysign.f32 (log.f32 (+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x))) x)
37.8%
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
27.7%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 x (/.f32 #s(literal 1/2 binary32) x)))) x)
30.8%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
28.9%
(copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)
20.0%
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))) x)
12.8%
(copysign.f32 (log.f32 x) x)
Compiler

Compiled 476 to 252 computations (47.1% saved)

simplify995.0ms (9.2%)

Memory
-130.5MiB live, 629.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f32 x (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (fabs.f32 x)))
cost-diff0
(copysign.f32 (fma.f32 x (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (fabs.f32 x))) x)
cost-diff160
(fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))
cost-diff512
(*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))
cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
cost-diff0
(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) x)
cost-diff128
(neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
cost-diff288
(log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
cost-diff0
(/.f32 #s(literal -1/2 binary32) x)
cost-diff0
(log.f32 (/.f32 #s(literal -1/2 binary32) x))
cost-diff0
(copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x)
cost-diff0
(fabs.f32 x)
cost-diff0
(+.f32 x (fabs.f32 x))
cost-diff0
(log.f32 (+.f32 x (fabs.f32 x)))
cost-diff0
(copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)
cost-diff0
(*.f32 x #s(literal 1/2 binary32))
cost-diff0
(fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))
cost-diff0
(log1p.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))
cost-diff0
(copysign.f32 (log1p.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))) x)
Rules
22 694×lower-fma.f64
22 686×lower-fma.f32
3 060×lower-*.f64
3 052×lower-*.f32
1 898×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036314
070311
1114307
2241307
3723288
41861288
52826288
64967288
76021288
87389288
97389288
107389288
08063284
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(copysign.f32 (log1p.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))) x)
(log1p.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))
(fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))
x
(*.f32 x #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(fabs.f32 x)
(copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)
(log.f32 (+.f32 x (fabs.f32 x)))
(+.f32 x (fabs.f32 x))
x
(fabs.f32 x)
(copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x)
(log.f32 (/.f32 #s(literal -1/2 binary32) x))
(/.f32 #s(literal -1/2 binary32) x)
#s(literal -1/2 binary32)
x
(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) x)
(neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
#s(literal 1 binary32)
(+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(fabs.f32 x)
x
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
(fma.f32 x x #s(literal 1 binary32))
(copysign.f32 (fma.f32 x (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (fabs.f32 x))) x)
(fma.f32 x (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (fabs.f32 x)))
x
(*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))
(fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))
#s(literal -1/24 binary32)
(*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))
(/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(*.f32 x x)
(+.f32 #s(literal 1 binary32) (fabs.f32 x))
#s(literal 1 binary32)
(fabs.f32 x)
(+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))
#s(literal 3 binary32)
(/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
#s(literal 1/2 binary32)
(log1p.f32 (fabs.f32 x))
Outputs
(copysign.f32 (log1p.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))) x)
(log1p.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))
(fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))
x
(*.f32 x #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(fabs.f32 x)
(copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)
(log.f32 (+.f32 x (fabs.f32 x)))
(+.f32 x (fabs.f32 x))
x
(fabs.f32 x)
(copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x)
(log.f32 (/.f32 #s(literal -1/2 binary32) x))
(/.f32 #s(literal -1/2 binary32) x)
#s(literal -1/2 binary32)
x
(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(neg.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
#s(literal 1 binary32)
(+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(fabs.f32 x)
x
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
(fma.f32 x x #s(literal 1 binary32))
(copysign.f32 (fma.f32 x (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (fabs.f32 x))) x)
(copysign.f32 (fma.f32 (/.f32 (*.f32 x x) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (fma.f32 x (*.f32 x (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))) #s(literal 1/2 binary32)) (log1p.f32 (fabs.f32 x))) x)
(fma.f32 x (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (fabs.f32 x)))
(fma.f32 (/.f32 (*.f32 x x) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (fma.f32 x (*.f32 x (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))) #s(literal 1/2 binary32)) (log1p.f32 (fabs.f32 x)))
x
(*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))
(*.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (fma.f32 x (*.f32 x (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))) #s(literal 1/2 binary32)))
(fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))
(fma.f32 (/.f32 (*.f32 x x) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))
#s(literal -1/24 binary32)
(*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))
(*.f32 x (*.f32 (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32)))))
(/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(/.f32 (*.f32 x x) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))
(*.f32 x x)
(+.f32 #s(literal 1 binary32) (fabs.f32 x))
(+.f32 (fabs.f32 x) #s(literal 1 binary32))
#s(literal 1 binary32)
(fabs.f32 x)
(+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))
(+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))
#s(literal 3 binary32)
(/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))
(/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))
#s(literal 1/2 binary32)
(log1p.f32 (fabs.f32 x))

localize227.0ms (2.1%)

Memory
-5.7MiB live, 269.6MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))
accuracy100.0%
(*.f32 x x)
accuracy100.0%
(log1p.f32 (fabs.f32 x))
accuracy100.0%
(fabs.f32 x)
accuracy100.0%
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
accuracy100.0%
(neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
accuracy100.0%
(log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
accuracy100.0%
(fabs.f32 x)
accuracy100.0%
(copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x)
accuracy100.0%
(/.f32 #s(literal -1/2 binary32) x)
accuracy100.0%
(log.f32 (/.f32 #s(literal -1/2 binary32) x))
accuracy100.0%
(copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)
accuracy100.0%
(+.f32 x (fabs.f32 x))
accuracy100.0%
(log.f32 (+.f32 x (fabs.f32 x)))
accuracy100.0%
(fabs.f32 x)
accuracy100.0%
(copysign.f32 (log1p.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))) x)
accuracy100.0%
(*.f32 x #s(literal 1/2 binary32))
accuracy100.0%
(log1p.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))
accuracy100.0%
(fabs.f32 x)
Samples
125.0ms256×0invalid
Compiler

Compiled 342 to 41 computations (88% saved)

Precisions
Click to see histograms. Total time spent on operations: 81.0ms
ival-div: 27.0ms (33.4% of total)
ival-mult: 11.0ms (13.6% of total)
ival-copysign: 9.0ms (11.1% of total)
ival-add: 9.0ms (11.1% of total)
ival-log: 7.0ms (8.6% of total)
ival-hypot: 5.0ms (6.2% of total)
ival-log1p: 5.0ms (6.2% of total)
const: 4.0ms (4.9% of total)
ival-fabs: 1.0ms (1.2% of total)
exact: 1.0ms (1.2% of total)
ival-neg: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series73.0ms (0.7%)

Memory
19.6MiB live, 57.2MiB allocated
Counts
22 → 264
Calls
Call 1
Inputs
#<alt (copysign.f32 (log1p.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))) x)>
#<alt (log1p.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))>
#<alt (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))>
#<alt (*.f32 x #s(literal 1/2 binary32))>
#<alt (copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)>
#<alt (log.f32 (+.f32 x (fabs.f32 x)))>
#<alt (+.f32 x (fabs.f32 x))>
#<alt (fabs.f32 x)>
#<alt (copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x)>
#<alt (log.f32 (/.f32 #s(literal -1/2 binary32) x))>
#<alt (/.f32 #s(literal -1/2 binary32) x)>
#<alt (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))>
#<alt (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))>
#<alt (copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) x)>
#<alt (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))>
#<alt (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))>
#<alt (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))>
#<alt (copysign.f32 (fma.f32 x (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (fabs.f32 x))) x)>
#<alt (fma.f32 x (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (fabs.f32 x)))>
#<alt (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))>
#<alt (log1p.f32 (fabs.f32 x))>
#<alt (*.f32 x x)>
Outputs
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (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) (+ (* -1/8 (/ (pow x 2) (pow (+ 1 (fabs x)) 2))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
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#<alt (* (pow x 4) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))>
#<alt (* (pow x 4) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (+ (/ 1/2 (* (pow x 2) (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 4)))))>
#<alt (* (pow x 4) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (+ (/ 1/2 (* (pow x 2) (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 4)))))>
#<alt (* -1/24 (/ (* (pow x 4) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))))>
#<alt (* (pow x 4) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))>
#<alt (* (pow x 4) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (+ (/ 1/2 (* (pow x 2) (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 4)))))>
#<alt (* (pow x 4) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (+ (/ 1/2 (* (pow x 2) (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 4)))))>
#<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 (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 (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)>
Calls

66 calls:

TimeVariablePointExpression
39.0ms
x
@-inf
(log (/ -1/2 x))
12.0ms
x
@0
(log (/ -1/2 x))
6.0ms
x
@inf
(log (/ -1/2 x))
2.0ms
x
@-inf
(* x (+ (* -1/24 (* (/ (* x x) (+ 1 (fabs x))) (+ 3 (/ 3 (+ 1 (fabs x)))))) (/ 1/2 (+ 1 (fabs x)))))
2.0ms
x
@inf
(* x (+ (* -1/24 (* (/ (* x x) (+ 1 (fabs x))) (+ 3 (/ 3 (+ 1 (fabs x)))))) (/ 1/2 (+ 1 (fabs x)))))

rewrite464.0ms (4.3%)

Memory
-15.8MiB live, 622.0MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 608×lower-/.f64
4 598×lower-/.f32
3 868×lower-*.f64
3 860×lower-*.f32
3 396×lower-fma.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036235
070232
1256228
22054228
08318228
Stop Event
iter limit
node limit
iter limit
Counts
22 → 427
Calls
Call 1
Inputs
(copysign.f32 (log1p.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))) x)
(log1p.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))
(fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))
(*.f32 x #s(literal 1/2 binary32))
(copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)
(log.f32 (+.f32 x (fabs.f32 x)))
(+.f32 x (fabs.f32 x))
(fabs.f32 x)
(copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x)
(log.f32 (/.f32 #s(literal -1/2 binary32) x))
(/.f32 #s(literal -1/2 binary32) x)
(log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) x)
(/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))
(fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))
(copysign.f32 (fma.f32 x (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (fabs.f32 x))) x)
(fma.f32 x (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (fabs.f32 x)))
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
(log1p.f32 (fabs.f32 x))
(*.f32 x x)
Outputs
(copysign.f32 (log1p.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))) x)
(log1p.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))
(neg.f32 (log.f32 (/.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)) (-.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)) #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)) (*.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))) #s(literal 1 binary32)))))
(neg.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))))))
(+.f32 (log1p.f32 (*.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)) (*.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))) (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)) (-.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(+.f32 (log1p.f32 (*.f32 (neg.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)) (-.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)) #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)) (*.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))) #s(literal 1 binary32)))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))))))
(-.f32 (log1p.f32 (*.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)) (*.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))) (log1p.f32 (*.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)) (-.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)) #s(literal 1 binary32)))))
(-.f32 (log1p.f32 (*.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)) (*.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))) (log.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))))
(-.f32 (log1p.f32 (*.f32 (neg.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))) (log1p.f32 (neg.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))))
(-.f32 (log.f32 (neg.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)) (*.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))) #s(literal 1 binary32)))) (log.f32 (neg.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)) (-.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(-.f32 (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))))) (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))))
(-.f32 (log.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) #s(literal 1 binary32)) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) #s(literal 1 binary32))) (*.f32 x (*.f32 x x)))) (log.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) #s(literal 1 binary32)) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) #s(literal 1 binary32)) (-.f32 (*.f32 x x) (*.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) #s(literal 1 binary32)) (fabs.f32 x))))))
(-.f32 (log.f32 (-.f32 (*.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))) #s(literal 1 binary32))) (log.f32 (-.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)) #s(literal 1 binary32))))
(-.f32 (log.f32 (-.f32 (*.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) #s(literal 1 binary32)) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) #s(literal 1 binary32))) (*.f32 x x))) (log.f32 (-.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) #s(literal 1 binary32)) (fabs.f32 x))))
(log.f32 (+.f32 (fabs.f32 x) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) #s(literal 1 binary32))))
(+.f32 (fabs.f32 x) (*.f32 x (*.f32 x #s(literal 1/2 binary32))))
(+.f32 (fabs.f32 x) (*.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))))
(+.f32 (fabs.f32 x) (*.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) #s(literal 1 binary32)))
(+.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (fabs.f32 x))
(+.f32 (*.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) (fabs.f32 x))
(+.f32 (*.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) #s(literal 1 binary32)) (fabs.f32 x))
(pow.f32 (/.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 1/4 binary32))) (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/8 binary32)) (*.f32 x (*.f32 x x)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (fabs.f32 x)) (fma.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 1/4 binary32) (*.f32 x (neg.f32 x)))) #s(literal -1 binary32))
(fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))
(fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (fabs.f32 x))
(fma.f32 (*.f32 x #s(literal 1/2 binary32)) x (fabs.f32 x))
(fma.f32 (fabs.f32 x) #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 1/2 binary32))))
(fma.f32 (fabs.f32 x) #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))))
(fma.f32 (fabs.f32 x) #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (fabs.f32 x) (*.f32 x (*.f32 x #s(literal 1/2 binary32))))
(fma.f32 #s(literal 1 binary32) (fabs.f32 x) (*.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))))
(fma.f32 #s(literal 1 binary32) (fabs.f32 x) (*.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (fabs.f32 x))
(fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (fabs.f32 x))
(fma.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) #s(literal 1 binary32) (fabs.f32 x))
(-.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 1/4 binary32)) (-.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (fabs.f32 x))) (/.f32 (*.f32 x x) (-.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (fabs.f32 x))))
(-.f32 (/.f32 (*.f32 x x) (-.f32 (fabs.f32 x) (*.f32 x (*.f32 x #s(literal 1/2 binary32))))) (/.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 1/4 binary32)) (-.f32 (fabs.f32 x) (*.f32 x (*.f32 x #s(literal 1/2 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 1/4 binary32))) (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/8 binary32)) (*.f32 x (*.f32 x x)))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (fabs.f32 x)) (fma.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 1/4 binary32) (*.f32 x (neg.f32 x)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 1/4 binary32))) (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/8 binary32)) (*.f32 x (*.f32 x x))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (-.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (fabs.f32 x)) (fma.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 1/4 binary32) (*.f32 x (neg.f32 x))))))
(/.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/8 binary32)) (*.f32 x (*.f32 x x))) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 1/4 binary32))))
(/.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/8 binary32)) (*.f32 x (*.f32 x x))) (fma.f32 x x (-.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 1/4 binary32)) (*.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 x (fabs.f32 x))))))
(/.f32 (fma.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 1/4 binary32) (*.f32 x (neg.f32 x))) (-.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (fabs.f32 x)))
(/.f32 (neg.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/8 binary32)) (*.f32 x (*.f32 x x)))) (neg.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 1/4 binary32)))))
(/.f32 (neg.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/8 binary32)) (*.f32 x (*.f32 x x)))) (neg.f32 (fma.f32 x x (-.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 1/4 binary32)) (*.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 x (fabs.f32 x)))))))
(/.f32 (neg.f32 (fma.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 1/4 binary32) (*.f32 x (neg.f32 x)))) (neg.f32 (-.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (fabs.f32 x))))
(/.f32 (-.f32 (*.f32 x x) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 1/4 binary32))) (-.f32 (fabs.f32 x) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))))
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(/.f32 (-.f32 (*.f32 (*.f32 x (*.f32 (*.f32 x (fma.f32 (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (/.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 x x)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))) (*.f32 (*.f32 x x) (fma.f32 (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (/.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 x x)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))))) (fma.f32 x (*.f32 x (fma.f32 (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (/.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 x x)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))) (neg.f32 (log1p.f32 (fabs.f32 x))))) (*.f32 (fma.f32 x (*.f32 x (fma.f32 (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (/.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 x x)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))) (neg.f32 (log1p.f32 (fabs.f32 x)))) (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 2 binary32)))) (*.f32 (fma.f32 x (*.f32 x (fma.f32 (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (/.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 x x)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))) (neg.f32 (log1p.f32 (fabs.f32 x)))) (fma.f32 x (*.f32 x (fma.f32 (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (/.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 x x)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))) (neg.f32 (log1p.f32 (fabs.f32 x))))))
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(/.f32 (neg.f32 (-.f32 (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 2 binary32)) (*.f32 x (*.f32 (*.f32 x (fma.f32 (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (/.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 x x)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))) (*.f32 (*.f32 x x) (fma.f32 (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (/.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 x x)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))))))) (neg.f32 (-.f32 (log1p.f32 (fabs.f32 x)) (*.f32 (*.f32 x x) (fma.f32 (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (/.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 x x)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))))))
(*.f32 (+.f32 (pow.f32 (*.f32 (*.f32 x x) (fma.f32 (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (/.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 x x)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (log1p.f32 (fabs.f32 x)) (-.f32 (log1p.f32 (fabs.f32 x)) (*.f32 (*.f32 x x) (fma.f32 (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (/.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 x x)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))))) (*.f32 x (*.f32 (*.f32 x (fma.f32 (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (/.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 x x)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))) (*.f32 (*.f32 x x) (fma.f32 (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (/.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 x x)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))))))))
(*.f32 (fma.f32 x (*.f32 (*.f32 x (fma.f32 (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (/.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 x x)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))) (*.f32 (*.f32 x x) (fma.f32 (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (/.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 x x)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))))) (neg.f32 (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x (fma.f32 (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (/.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 x x)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))) (neg.f32 (log1p.f32 (fabs.f32 x))))))
(exp.f32 (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 x x))))
(fabs.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/2 binary32))
(pow.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) #s(literal 1 binary32))
(pow.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))) #s(literal 1/4 binary32))
(pow.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (fma.f32 x (*.f32 x (*.f32 x x)) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (fma.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal -1 binary32)))))
(/.f32 (sqrt.f32 (fma.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x (*.f32 x (*.f32 x x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(/.f32 (sqrt.f32 (fma.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 x x)))))
(/.f32 (sqrt.f32 (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal -1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(/.f32 (sqrt.f32 (neg.f32 (fma.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 1 binary32)))) (sqrt.f32 (neg.f32 (fma.f32 x (*.f32 x (*.f32 x x)) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
(/.f32 (sqrt.f32 (neg.f32 (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal -1 binary32)))) (sqrt.f32 (neg.f32 (fma.f32 x x #s(literal -1 binary32)))))
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x x))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(/.f32 (neg.f32 (sqrt.f32 (fma.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 1 binary32)))) (neg.f32 (sqrt.f32 (fma.f32 x (*.f32 x (*.f32 x x)) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
(/.f32 (neg.f32 (sqrt.f32 (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal -1 binary32)))) (neg.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x (*.f32 x x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x (*.f32 x x)) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
(*.f32 (sqrt.f32 (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal -1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal -1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))))
(*.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32)))
(*.f32 (sqrt.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (sqrt.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(log1p.f32 (fabs.f32 x))
(neg.f32 (log.f32 (/.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (fabs.f32 x)) (fma.f32 x (*.f32 x x) #s(literal 1 binary32)))))
(neg.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(+.f32 (log1p.f32 (*.f32 x (*.f32 x x))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (fabs.f32 x)))))
(+.f32 (log1p.f32 (*.f32 x (neg.f32 x))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (fabs.f32 x)) (fma.f32 x (*.f32 x x) #s(literal 1 binary32)))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(-.f32 (log1p.f32 (*.f32 x (*.f32 x x))) (log1p.f32 (-.f32 (*.f32 x x) (fabs.f32 x))))
(-.f32 (log1p.f32 (*.f32 x (*.f32 x x))) (log.f32 (fma.f32 x x (-.f32 #s(literal 1 binary32) (fabs.f32 x)))))
(-.f32 (log1p.f32 (*.f32 x (neg.f32 x))) (log1p.f32 (neg.f32 (fabs.f32 x))))
(-.f32 (log.f32 (fma.f32 x x #s(literal -1 binary32))) (log.f32 (-.f32 (fabs.f32 x) #s(literal 1 binary32))))
(-.f32 (log.f32 (neg.f32 (fma.f32 x (*.f32 x x) #s(literal 1 binary32)))) (log.f32 (neg.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (fabs.f32 x)))))
(-.f32 (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)))))
(log.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)))
(exp.f32 (*.f32 (log.f32 x) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (fabs.f32 x)) #s(literal 2 binary32)))
(fabs.f32 (*.f32 x x))
(fabs.f32 (*.f32 x (neg.f32 x)))
(fabs.f32 (neg.f32 (*.f32 x (neg.f32 x))))
(fabs.f32 (*.f32 x (neg.f32 (neg.f32 x))))
(fabs.f32 (*.f32 (neg.f32 x) (neg.f32 (neg.f32 x))))
(fabs.f32 (*.f32 (neg.f32 (neg.f32 x)) x))
(fabs.f32 (*.f32 (neg.f32 (neg.f32 x)) (neg.f32 x)))
(fabs.f32 (-.f32 (*.f32 x x) #s(literal 0 binary32)))
(pow.f32 x #s(literal 2 binary32))
(pow.f32 (fabs.f32 x) #s(literal 2 binary32))
(pow.f32 (*.f32 x x) #s(literal 1 binary32))
(pow.f32 (neg.f32 x) #s(literal 2 binary32))
(pow.f32 (exp.f32 (log.f32 x)) #s(literal 2 binary32))
(*.f32 x x)
(*.f32 x (*.f32 x #s(literal 1 binary32)))
(*.f32 (fabs.f32 x) (fabs.f32 x))
(*.f32 (fabs.f32 x) (fabs.f32 (*.f32 x #s(literal 1 binary32))))
(*.f32 #s(literal 1 binary32) (*.f32 x x))
(*.f32 (*.f32 x x) #s(literal 1 binary32))
(*.f32 (neg.f32 x) (neg.f32 x))
(*.f32 (neg.f32 (neg.f32 x)) (neg.f32 (neg.f32 x)))
(*.f32 (exp.f32 (log.f32 x)) (exp.f32 (log.f32 x)))
(*.f32 (fabs.f32 (fabs.f32 x)) (fabs.f32 (fabs.f32 x)))

simplify454.0ms (4.2%)

Memory
0.5MiB live, 843.4MiB allocated
Algorithm
egg-herbie
Rules
12 162×lower-fma.f64
12 162×lower-fma.f32
5 148×lower-+.f64
5 148×lower-+.f32
4 296×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04154212
112284037
239733879
083213561
Stop Event
iter limit
node limit
Counts
264 → 261
Calls
Call 1
Inputs
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
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(* -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)))))
(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)))
(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)
Outputs
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f32 (log1p.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f32 (log1p.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f32 (log1p.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f32 (log1p.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f32 (log1p.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f32 (log1p.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f32 (log1p.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f32 (log1p.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f32 (log1p.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f32 (log1p.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f32 (log1p.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f32 (log1p.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))) x)
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x)))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (+ 1 (fabs x)) 2))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/8 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (log1p.f32 (fabs.f32 x)))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (- (* 1/24 (/ (pow x 2) (pow (+ 1 (fabs x)) 3))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 #s(literal 1/24 binary32) (/.f32 (*.f32 x x) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal -1/8 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (fabs.f32 x)))
(+ (log 1/2) (* -2 (log (/ 1 x))))
(fma.f32 #s(literal 2 binary32) (log.f32 x) (log.f32 #s(literal 1/2 binary32)))
(+ (log 1/2) (+ (* -2 (log (/ 1 x))) (* 2 (/ (+ 1 (fabs x)) (pow x 2)))))
(fma.f32 #s(literal 2 binary32) (+.f32 (log.f32 x) (/.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (*.f32 x x))) (log.f32 #s(literal 1/2 binary32)))
(+ (log 1/2) (+ (* -2 (log (/ 1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (* 2 (/ (+ 1 (fabs x)) (pow x 2))))))
(fma.f32 #s(literal -2 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (/.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (*.f32 (*.f32 x x) (*.f32 x x)))) (fma.f32 #s(literal 2 binary32) (+.f32 (log.f32 x) (/.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (*.f32 x x))) (log.f32 #s(literal 1/2 binary32))))
(+ (log 1/2) (+ (* -2 (log (/ 1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (+ (* 2 (/ (+ 1 (fabs x)) (pow x 2))) (* 8/3 (/ (pow (+ 1 (fabs x)) 3) (pow x 6)))))))
(fma.f32 #s(literal -2 binary32) (fma.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (/.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (*.f32 (*.f32 x x) (*.f32 x x))) (neg.f32 (log.f32 x))) (fma.f32 #s(literal 8/3 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (pow.f32 x #s(literal 6 binary32)))) (+.f32 (/.f32 (fma.f32 (fabs.f32 x) #s(literal 2 binary32) #s(literal 2 binary32)) (*.f32 x x)) (log.f32 #s(literal 1/2 binary32)))))
(+ (log 1/2) (* -2 (log (/ -1 x))))
(fma.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal 1/2 binary32)))
(+ (log 1/2) (+ (* -2 (log (/ -1 x))) (* 2 (/ (+ 1 (fabs x)) (pow x 2)))))
(+.f32 (/.f32 (fma.f32 (fabs.f32 x) #s(literal 2 binary32) #s(literal 2 binary32)) (*.f32 x x)) (fma.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal 1/2 binary32))))
(+ (log 1/2) (+ (* -2 (log (/ -1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (* 2 (/ (+ 1 (fabs x)) (pow x 2))))))
(fma.f32 #s(literal -2 binary32) (fma.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (/.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (*.f32 (*.f32 x x) (*.f32 x x))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (+.f32 (/.f32 (fma.f32 (fabs.f32 x) #s(literal 2 binary32) #s(literal 2 binary32)) (*.f32 x x)) (log.f32 #s(literal 1/2 binary32))))
(+ (log 1/2) (+ (* -2 (log (/ -1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (+ (* 2 (/ (+ 1 (fabs x)) (pow x 2))) (* 8/3 (/ (pow (+ 1 (fabs x)) 3) (pow x 6)))))))
(fma.f32 #s(literal -2 binary32) (fma.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (/.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (*.f32 (*.f32 x x) (*.f32 x x))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (fma.f32 #s(literal 8/3 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (pow.f32 x #s(literal 6 binary32)))) (+.f32 (/.f32 (fma.f32 (fabs.f32 x) #s(literal 2 binary32) #s(literal 2 binary32)) (*.f32 x x)) (log.f32 #s(literal 1/2 binary32)))))
(fabs x)
(fabs.f32 x)
(+ (fabs x) (* 1/2 (pow x 2)))
(fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))
(+ (fabs x) (* 1/2 (pow x 2)))
(fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))
(+ (fabs x) (* 1/2 (pow x 2)))
(fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))
(* 1/2 (pow x 2))
(*.f32 x (*.f32 x #s(literal 1/2 binary32)))
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))
(*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (/.f32 (fabs.f32 x) (*.f32 x x))))
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))
(*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (/.f32 (fabs.f32 x) (*.f32 x x))))
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))
(*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (/.f32 (fabs.f32 x) (*.f32 x x))))
(* 1/2 (pow x 2))
(*.f32 x (*.f32 x #s(literal 1/2 binary32)))
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))
(*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (/.f32 (fabs.f32 x) (*.f32 x x))))
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))
(*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (/.f32 (fabs.f32 x) (*.f32 x x))))
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))
(*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (/.f32 (fabs.f32 x) (*.f32 x x))))
(* 1/2 x)
(*.f32 x #s(literal 1/2 binary32))
(* 1/2 x)
(*.f32 x #s(literal 1/2 binary32))
(* 1/2 x)
(*.f32 x #s(literal 1/2 binary32))
(* 1/2 x)
(*.f32 x #s(literal 1/2 binary32))
(* 1/2 x)
(*.f32 x #s(literal 1/2 binary32))
(* 1/2 x)
(*.f32 x #s(literal 1/2 binary32))
(* 1/2 x)
(*.f32 x #s(literal 1/2 binary32))
(* 1/2 x)
(*.f32 x #s(literal 1/2 binary32))
(* 1/2 x)
(*.f32 x #s(literal 1/2 binary32))
(* 1/2 x)
(*.f32 x #s(literal 1/2 binary32))
(* 1/2 x)
(*.f32 x #s(literal 1/2 binary32))
(* 1/2 x)
(*.f32 x #s(literal 1/2 binary32))
(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)))))
(fma.f32 x (fma.f32 x (fma.f32 #s(literal 1/3 binary32) (/.f32 x (*.f32 (*.f32 (fabs.f32 x) x) x)) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1 binary32) (fabs.f32 x))) (log.f32 (fabs.f32 x)))
(* -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 (/.f32 (fabs.f32 x) x) (+.f32 #s(literal -1/2 binary32) (log.f32 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))))
(+.f32 (/.f32 (fabs.f32 x) x) (+.f32 (fma.f32 #s(literal 1/3 binary32) (/.f32 (fabs.f32 x) x) #s(literal -1/2 binary32)) (log.f32 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 (*.f32 x 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 (fma.f32 #s(literal 1/3 binary32) (/.f32 (*.f32 (*.f32 (fabs.f32 x) x) x) x) (*.f32 (*.f32 x x) #s(literal -1/2 binary32))) 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)))
(fma.f32 x (/.f32 (fabs.f32 x) x) x)
(* x (+ 1 (/ (fabs x) x)))
(fma.f32 x (/.f32 (fabs.f32 x) x) x)
(* x (+ 1 (/ (fabs x) x)))
(fma.f32 x (/.f32 (fabs.f32 x) x) x)
x
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
(fma.f32 x (/.f32 (fabs.f32 x) x) x)
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
(fma.f32 x (/.f32 (fabs.f32 x) x) x)
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
(fma.f32 x (/.f32 (fabs.f32 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)
(copysign (log (/ -1/2 x)) x)
(copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x)
(copysign (log (/ -1/2 x)) x)
(copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x)
(copysign (log (/ -1/2 x)) x)
(copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x)
(copysign (log (/ -1/2 x)) x)
(copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x)
(copysign (log (/ -1/2 x)) x)
(copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x)
(copysign (log (/ -1/2 x)) x)
(copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x)
(copysign (log (/ -1/2 x)) x)
(copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x)
(copysign (log (/ -1/2 x)) x)
(copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x)
(copysign (log (/ -1/2 x)) x)
(copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x)
(copysign (log (/ -1/2 x)) x)
(copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x)
(copysign (log (/ -1/2 x)) x)
(copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x)
(copysign (log (/ -1/2 x)) x)
(copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x)
(+ (log -1/2) (* -1 (log x)))
(-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 x))
(+ (log -1/2) (* -1 (log x)))
(-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 x))
(+ (log -1/2) (* -1 (log x)))
(-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 x))
(+ (log -1/2) (* -1 (log x)))
(-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 x))
(+ (log -1/2) (log (/ 1 x)))
(-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 x))
(+ (log -1/2) (log (/ 1 x)))
(-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 x))
(+ (log -1/2) (log (/ 1 x)))
(-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 x))
(+ (log -1/2) (log (/ 1 x)))
(-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 x))
(+ (log 1/2) (log (/ -1 x)))
(+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (log 1/2) (log (/ -1 x)))
(+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (log 1/2) (log (/ -1 x)))
(+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (log 1/2) (log (/ -1 x)))
(+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
(log (/ 1 (+ 1 (fabs x))))
(neg.f32 (log1p.f32 (fabs.f32 x)))
(+ (log (/ 1 (+ 1 (fabs x)))) (* -1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(fma.f32 (*.f32 x x) (/.f32 #s(literal -1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (neg.f32 (log1p.f32 (fabs.f32 x))))
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(fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x)))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (/.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (log1p.f32 (fabs.f32 x)))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (/.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (log1p.f32 (fabs.f32 x)))
(* -1/24 (/ (* (pow x 4) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))))
(/.f32 (*.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(* (pow x 4) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))
(*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (/.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 x (fabs.f32 x) x)))))
(* (pow x 4) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (+ (/ 1/2 (* (pow x 2) (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 4)))))
(*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (/.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 x (fabs.f32 x) x))) (/.f32 (log1p.f32 (fabs.f32 x)) (*.f32 (*.f32 x x) (*.f32 x x))))))
(* (pow x 4) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (+ (/ 1/2 (* (pow x 2) (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 4)))))
(*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (/.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 x (fabs.f32 x) x))) (/.f32 (log1p.f32 (fabs.f32 x)) (*.f32 (*.f32 x x) (*.f32 x x))))))
(* -1/24 (/ (* (pow x 4) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))))
(/.f32 (*.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(* (pow x 4) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))
(*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (/.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 x (fabs.f32 x) x)))))
(* (pow x 4) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (+ (/ 1/2 (* (pow x 2) (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 4)))))
(*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (/.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 x (fabs.f32 x) x))) (/.f32 (log1p.f32 (fabs.f32 x)) (*.f32 (*.f32 x x) (*.f32 x x))))))
(* (pow x 4) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (+ (/ 1/2 (* (pow x 2) (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 4)))))
(*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (/.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 x (fabs.f32 x) x))) (/.f32 (log1p.f32 (fabs.f32 x)) (*.f32 (*.f32 x x) (*.f32 x x))))))
1
#s(literal 1 binary32)
(+ 1 (* 1/2 (pow x 2)))
(fma.f32 x (*.f32 x #s(literal 1/2 binary32)) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal -1/8 binary32) #s(literal 1/2 binary32))) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/16 binary32)) #s(literal -1/8 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(fma.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x)
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(*.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x 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 #s(literal 1/2 binary32) (*.f32 x x))) (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) (*.f32 x x))))))
(* -1 x)
(neg.f32 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(fma.f32 x (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) (neg.f32 x))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(*.f32 (neg.f32 x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) (*.f32 x x))))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(*.f32 x (neg.f32 (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) (*.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))
(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)

eval90.0ms (0.8%)

Memory
38.3MiB live, 151.3MiB allocated
Compiler

Compiled 26 268 to 2 636 computations (90% saved)

prune144.0ms (1.3%)

Memory
-18.7MiB live, 219.2MiB allocated
Pruning

23 alts after pruning (12 fresh and 11 done)

PrunedKeptTotal
New7957802
Fresh055
Picked145
Done077
Total79623819
Accuracy
100.0%
Counts
819 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.3%
(copysign.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (/.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x)))) x)
56.3%
(copysign.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (/.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (log1p.f32 (fabs.f32 x))) x)
10.0%
(copysign.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x)
34.2%
(copysign.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 x (fma.f32 (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (/.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 x x)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))) (neg.f32 (log1p.f32 (fabs.f32 x)))) (fma.f32 x (*.f32 (*.f32 x (fma.f32 (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (/.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 x x)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))) (*.f32 (*.f32 x x) (fma.f32 (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (/.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 x x)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))))) (neg.f32 (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 2 binary32)))))) x)
73.8%
(copysign.f32 (-.f32 (log1p.f32 (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) (log.f32 (/.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) x)
35.7%
(copysign.f32 (-.f32 (log.f32 (fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32)))) (log.f32 (/.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) x)
7.3%
(copysign.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (/.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 x (fabs.f32 x) x))))) x)
14.9%
(copysign.f32 (neg.f32 (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x)))) (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))) x)
14.9%
(copysign.f32 (neg.f32 (log.f32 (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x))))) x)
37.8%
(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) x)
60.7%
(copysign.f32 (log1p.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))) x)
36.6%
(copysign.f32 (log1p.f32 (*.f32 (fma.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 1/4 binary32) (*.f32 x (neg.f32 x))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (fabs.f32 x))))) x)
39.1%
(copysign.f32 (log1p.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (/.f32 (fabs.f32 x) (*.f32 x x))))) x)
70.2%
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
25.8%
(copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x)
28.0%
(copysign.f32 (log.f32 (-.f32 (fabs.f32 x) x)) x)
25.8%
(copysign.f32 (log.f32 (+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x))) x)
37.8%
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
27.7%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 x (/.f32 #s(literal 1/2 binary32) x)))) x)
30.8%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
28.9%
(copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)
20.0%
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))) x)
12.8%
(copysign.f32 (log.f32 x) x)
Compiler

Compiled 1 301 to 442 computations (66% saved)

regimes21.0ms (0.2%)

Memory
0.0MiB live, 36.7MiB allocated
Counts
34 → 3
Calls
Call 1
Inputs
(copysign.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x)
(copysign.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (/.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 x (fabs.f32 x) x))))) x)
(copysign.f32 (log.f32 x) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 x (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 #s(literal -1/2 binary32) x)) x)
(copysign.f32 (log1p.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))) x)
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))) x)
(copysign.f32 (-.f32 (log.f32 (fabs.f32 x)) (/.f32 x (fabs.f32 x))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 x (/.f32 #s(literal 1/2 binary32) x)))) x)
(copysign.f32 (log.f32 (+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign.f32 (-.f32 (neg.f32 (/.f32 (fabs.f32 x) x)) (neg.f32 (log.f32 (neg.f32 x)))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
(copysign.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x))) x)
(copysign.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x))) x)
(copysign.f32 (log1p.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (/.f32 (fabs.f32 x) (*.f32 x x))))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x))))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))))) x)
(copysign.f32 (log1p.f32 (*.f32 (fma.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 1/4 binary32) (*.f32 x (neg.f32 x))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (fabs.f32 x))))) x)
(copysign.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (/.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (log1p.f32 (fabs.f32 x))) x)
(copysign.f32 (fma.f32 x (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (fabs.f32 x))) x)
(copysign.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (/.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x)))) x)
(copysign.f32 (neg.f32 (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x)))) (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))) x)
(copysign.f32 (+.f32 (log1p.f32 (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) (log.f32 (/.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32)))))) x)
(copysign.f32 (-.f32 (log1p.f32 (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) (log.f32 (/.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) x)
(copysign.f32 (-.f32 (log.f32 (fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32)))) (log.f32 (/.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) x)
(copysign.f32 (+.f32 (log1p.f32 (fma.f32 (/.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32))) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x))) (/.f32 (fabs.f32 x) (/.f32 #s(literal 1 binary32) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) (*.f32 x x))) (log.f32 (/.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32)))))) x)
(copysign.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 x (fma.f32 (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (/.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 x x)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))) (neg.f32 (log1p.f32 (fabs.f32 x)))) (fma.f32 x (*.f32 (*.f32 x (fma.f32 (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (/.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 x x)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))) (*.f32 (*.f32 x x) (fma.f32 (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (/.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 x x)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))))) (neg.f32 (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 2 binary32)))))) x)
Outputs
(copysign.f32 (log.f32 (+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x))) x)
(copysign.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (/.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x)))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 x (/.f32 #s(literal 1/2 binary32) x)))) x)
Calls

2 calls:

11.0ms
x
8.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Results
AccuracySegmentsBranch
99.3%3x
99.3%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)

regimes18.0ms (0.2%)

Memory
-2.4MiB live, 32.6MiB allocated
Counts
27 → 3
Calls
Call 1
Inputs
(copysign.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x)
(copysign.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (/.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 x (fabs.f32 x) x))))) x)
(copysign.f32 (log.f32 x) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 x (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 #s(literal -1/2 binary32) x)) x)
(copysign.f32 (log1p.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))) x)
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))) x)
(copysign.f32 (-.f32 (log.f32 (fabs.f32 x)) (/.f32 x (fabs.f32 x))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 x (/.f32 #s(literal 1/2 binary32) x)))) x)
(copysign.f32 (log.f32 (+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign.f32 (-.f32 (neg.f32 (/.f32 (fabs.f32 x) x)) (neg.f32 (log.f32 (neg.f32 x)))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
(copysign.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x))) x)
(copysign.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x))) x)
(copysign.f32 (log1p.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (/.f32 (fabs.f32 x) (*.f32 x x))))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x))))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))))) x)
(copysign.f32 (log1p.f32 (*.f32 (fma.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 1/4 binary32) (*.f32 x (neg.f32 x))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (fabs.f32 x))))) x)
(copysign.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (/.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (log1p.f32 (fabs.f32 x))) x)
(copysign.f32 (fma.f32 x (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (fabs.f32 x))) x)
Outputs
(copysign.f32 (log.f32 (+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x))) x)
(copysign.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (/.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (log1p.f32 (fabs.f32 x))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 x (/.f32 #s(literal 1/2 binary32) x)))) x)
Calls

2 calls:

10.0ms
x
7.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Results
AccuracySegmentsBranch
99.3%3x
99.3%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)

regimes14.0ms (0.1%)

Memory
36.1MiB live, 36.1MiB allocated
Counts
25 → 3
Calls
Call 1
Inputs
(copysign.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x)
(copysign.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (/.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 x (fabs.f32 x) x))))) x)
(copysign.f32 (log.f32 x) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 x (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 #s(literal -1/2 binary32) x)) x)
(copysign.f32 (log1p.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))) x)
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))) x)
(copysign.f32 (-.f32 (log.f32 (fabs.f32 x)) (/.f32 x (fabs.f32 x))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 x (/.f32 #s(literal 1/2 binary32) x)))) x)
(copysign.f32 (log.f32 (+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign.f32 (-.f32 (neg.f32 (/.f32 (fabs.f32 x) x)) (neg.f32 (log.f32 (neg.f32 x)))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
(copysign.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x))) x)
(copysign.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x))) x)
(copysign.f32 (log1p.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/2 binary32) (/.f32 (fabs.f32 x) (*.f32 x x))))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x))))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))))) x)
(copysign.f32 (log1p.f32 (*.f32 (fma.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 1/4 binary32) (*.f32 x (neg.f32 x))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (fabs.f32 x))))) x)
Outputs
(copysign.f32 (log.f32 (+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x))) x)
(copysign.f32 (log1p.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 x (/.f32 #s(literal 1/2 binary32) x)))) x)
Calls

2 calls:

7.0ms
x
6.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Results
AccuracySegmentsBranch
98.9%3x
98.9%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)

regimes9.0ms (0.1%)

Memory
-17.4MiB live, 21.8MiB allocated
Counts
12 → 3
Calls
Call 1
Inputs
(copysign.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x)
(copysign.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (/.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 x (fabs.f32 x) x))))) x)
(copysign.f32 (log.f32 x) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 x (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 #s(literal -1/2 binary32) x)) x)
(copysign.f32 (log1p.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))) x)
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))) x)
(copysign.f32 (-.f32 (log.f32 (fabs.f32 x)) (/.f32 x (fabs.f32 x))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 x (/.f32 #s(literal 1/2 binary32) x)))) x)
Outputs
(copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x)
(copysign.f32 (log1p.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 x (/.f32 #s(literal 1/2 binary32) x)))) x)
Calls

2 calls:

4.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
4.0ms
x
Results
AccuracySegmentsBranch
98.9%3x
98.9%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)

regimes13.0ms (0.1%)

Memory
-34.9MiB live, 20.9MiB allocated
Counts
11 → 3
Calls
Call 1
Inputs
(copysign.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x)
(copysign.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (/.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 x (fabs.f32 x) x))))) x)
(copysign.f32 (log.f32 x) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 x (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 #s(literal -1/2 binary32) x)) x)
(copysign.f32 (log1p.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))) x)
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))) x)
(copysign.f32 (-.f32 (log.f32 (fabs.f32 x)) (/.f32 x (fabs.f32 x))) x)
Outputs
(copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x)
(copysign.f32 (log1p.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))) x)
(copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)
Calls

2 calls:

4.0ms
x
3.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Results
AccuracySegmentsBranch
98.5%3x
98.5%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)

regimes6.0ms (0.1%)

Memory
15.5MiB live, 15.5MiB allocated
Counts
8 → 3
Calls
Call 1
Inputs
(copysign.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x)
(copysign.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (/.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 x (fabs.f32 x) x))))) x)
(copysign.f32 (log.f32 x) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 x (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 #s(literal -1/2 binary32) x)) x)
Outputs
(copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)
Calls

2 calls:

3.0ms
x
3.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Results
AccuracySegmentsBranch
95.7%3x
95.7%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)

regimes6.0ms (0.1%)

Memory
16.5MiB live, 16.5MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
(copysign.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x)
(copysign.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (/.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 x (fabs.f32 x) x))))) x)
(copysign.f32 (log.f32 x) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 x (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 (-.f32 (fabs.f32 x) x)) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)
Calls

2 calls:

3.0ms
x
3.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Results
AccuracySegmentsBranch
95.4%3x
95.4%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)

regimes6.0ms (0.1%)

Memory
-23.7MiB live, 15.4MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
(copysign.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x)
(copysign.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (/.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 x (fabs.f32 x) x))))) x)
(copysign.f32 (log.f32 x) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
Outputs
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)
Calls

2 calls:

3.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
3.0ms
x
Results
AccuracySegmentsBranch
83.4%2x
83.4%2(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)

regimes4.0ms (0%)

Memory
11.9MiB live, 11.9MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
(copysign.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x)
(copysign.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (/.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 x (fabs.f32 x) x))))) x)
(copysign.f32 (log.f32 x) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
Outputs
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
Calls

2 calls:

2.0ms
x
2.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Results
AccuracySegmentsBranch
70.2%1(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
70.2%1x
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes4.0ms (0%)

Memory
10.3MiB live, 10.3MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
(copysign.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x)
(copysign.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (/.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 x (fabs.f32 x) x))))) x)
(copysign.f32 (log.f32 x) x)
Outputs
(copysign.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x)
(copysign.f32 (log.f32 x) x)
Calls

2 calls:

2.0ms
x
2.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Results
AccuracySegmentsBranch
19.0%2x
18.8%2(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)

regimes4.0ms (0%)

Memory
-28.4MiB live, 9.6MiB allocated
Accuracy

Total -1.1b remaining (-3.8%)

Threshold costs -1.1b (-3.8%)

Counts
2 → 1
Calls
Call 1
Inputs
(copysign.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x)
(copysign.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (/.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 x (fabs.f32 x) x))))) x)
Outputs
(copysign.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x)
Calls

2 calls:

2.0ms
x
1.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Results
AccuracySegmentsBranch
10.0%1(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
10.0%1x
Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.02417084015905857
3.726618528366089
0.0ms
-2.5934393405914307
-0.2742801010608673
Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.02417084015905857
3.726618528366089
0.0ms
-2.5934393405914307
-0.2742801010608673
Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.02417084015905857
3.726618528366089
0.0ms
-2.5934393405914307
-0.2742801010608673
Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.02417084015905857
3.726618528366089
0.0ms
-2.5934393405914307
-0.2742801010608673
Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.02417084015905857
3.726618528366089
0.0ms
-2.5934393405914307
-0.2742801010608673
Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.02417084015905857
3.726618528366089
0.0ms
-2.5934393405914307
-0.2742801010608673
Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.02417084015905857
3.726618528366089
0.0ms
-2.5934393405914307
-0.2742801010608673
Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
0.024173123762011528
20.757165908813477
Compiler

Compiled 16 to 11 computations (31.3% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
2.1557010479606965e-19
1.050536231747326e-18
Compiler

Compiled 16 to 11 computations (31.3% saved)

simplify10.0ms (0.1%)

Memory
22.1MiB live, 22.1MiB allocated
Algorithm
egg-herbie
Rules
18×+-commutative_binary32
*-commutative_binary32
sub-neg_binary32
neg-sub0_binary32
1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
076520
190520
294520
396520
497520
Stop Event
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 -2 binary32)) (copysign.f32 (log.f32 (+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 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 5368709/134217728 binary32)) (copysign.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (/.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x)))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 x (/.f32 #s(literal 1/2 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 -2 binary32)) (copysign.f32 (log.f32 (+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 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 5368709/134217728 binary32)) (copysign.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (/.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (log1p.f32 (fabs.f32 x))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 x (/.f32 #s(literal 1/2 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 -2 binary32)) (copysign.f32 (log.f32 (+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 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 5368709/134217728 binary32)) (copysign.f32 (log1p.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 x (/.f32 #s(literal 1/2 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 -2 binary32)) (copysign.f32 (log.f32 (/.f32 #s(literal -1/2 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 5368709/134217728 binary32)) (copysign.f32 (log1p.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 x (/.f32 #s(literal 1/2 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 -2 binary32)) (copysign.f32 (log.f32 (/.f32 #s(literal -1/2 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 5368709/134217728 binary32)) (copysign.f32 (log1p.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))) x) (copysign.f32 (log.f32 (+.f32 x (fabs.f32 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 -2 binary32)) (copysign.f32 (log.f32 (/.f32 #s(literal -1/2 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 5368709/134217728 binary32)) (copysign.f32 (log1p.f32 (fabs.f32 x)) x) (copysign.f32 (log.f32 (+.f32 x (fabs.f32 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 -2 binary32)) (copysign.f32 (log.f32 (-.f32 (fabs.f32 x) 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 5368709/134217728 binary32)) (copysign.f32 (log1p.f32 (fabs.f32 x)) x) (copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)))
(if (<=.f32 x #s(literal 5368709/134217728 binary32)) (copysign.f32 (log1p.f32 (fabs.f32 x)) x) (copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x))
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(if (<=.f32 x #s(literal 7737125/19342813113834066795298816 binary32)) (copysign.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) (copysign.f32 (log.f32 x) x))
(copysign.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 #s(literal 1 binary32) (fabs.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 -2 binary32)) (copysign.f32 (log.f32 (+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 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 5368709/134217728 binary32)) (copysign.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (/.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x)))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 x (/.f32 #s(literal 1/2 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 -2 binary32)) (copysign.f32 (log.f32 (+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 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 5368709/134217728 binary32)) (copysign.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (/.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal -1/8 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 x (/.f32 #s(literal 1/2 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 -2 binary32)) (copysign.f32 (log.f32 (+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 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 5368709/134217728 binary32)) (copysign.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (/.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (log1p.f32 (fabs.f32 x))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 x (/.f32 #s(literal 1/2 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 -2 binary32)) (copysign.f32 (log.f32 (+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 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 5368709/134217728 binary32)) (copysign.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (/.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal -1/8 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (log1p.f32 (fabs.f32 x))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 x (/.f32 #s(literal 1/2 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 -2 binary32)) (copysign.f32 (log.f32 (+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 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 5368709/134217728 binary32)) (copysign.f32 (log1p.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 x (/.f32 #s(literal 1/2 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 -2 binary32)) (copysign.f32 (log.f32 (/.f32 #s(literal -1/2 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 5368709/134217728 binary32)) (copysign.f32 (log1p.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 x (/.f32 #s(literal 1/2 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 -2 binary32)) (copysign.f32 (log.f32 (/.f32 #s(literal -1/2 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 5368709/134217728 binary32)) (copysign.f32 (log1p.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))) x) (copysign.f32 (log.f32 (+.f32 x (fabs.f32 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 -2 binary32)) (copysign.f32 (log.f32 (/.f32 #s(literal -1/2 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 5368709/134217728 binary32)) (copysign.f32 (log1p.f32 (fabs.f32 x)) x) (copysign.f32 (log.f32 (+.f32 x (fabs.f32 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 -2 binary32)) (copysign.f32 (log.f32 (-.f32 (fabs.f32 x) 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 5368709/134217728 binary32)) (copysign.f32 (log1p.f32 (fabs.f32 x)) x) (copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)))
(if (<=.f32 x #s(literal 5368709/134217728 binary32)) (copysign.f32 (log1p.f32 (fabs.f32 x)) x) (copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x))
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(if (<=.f32 x #s(literal 7737125/19342813113834066795298816 binary32)) (copysign.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) (copysign.f32 (log.f32 x) x))
(if (<=.f32 x #s(literal 7737125/19342813113834066795298816 binary32)) (copysign.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 #s(literal -1/24 binary32) (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal -1/8 binary32))) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) (copysign.f32 (log.f32 x) x))
(copysign.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x)
(copysign.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 #s(literal -1/24 binary32) (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal -1/8 binary32))) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)

soundness1.3s (12.2%)

Memory
10.0MiB live, 912.5MiB allocated
Rules
24 610×lower-fma.f64
24 610×lower-fma.f32
12 162×lower-fma.f64
12 162×lower-fma.f32
10 338×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033326
066331
1254331
22315306
08389302
0169782
1490754
21511741
35413691
08421635
07277799
122957362
081586681
04154212
112284037
239733879
083213561
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 694 to 194 computations (72% saved)

preprocess97.0ms (0.9%)

Memory
3.9MiB live, 123.4MiB allocated
Compiler

Compiled 1 110 to 190 computations (82.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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